Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,4,Mod(4,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 3]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.u (of order \(30\), 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: | \(13.2754297513\) |
Analytic rank: | \(0\) |
Dimension: | \(704\) |
Relative dimension: | \(88\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 4.18 | ||
Character | \(\chi\) | \(=\) | 225.4 |
Dual form | 225.4.u.a.169.18 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.792549 | − | 3.72865i | −0.280208 | − | 1.31828i | −0.862814 | − | 0.505522i | \(-0.831300\pi\) |
0.582605 | − | 0.812755i | \(-0.302033\pi\) | |||||||
\(3\) | 2.16415 | + | 4.72403i | 0.416490 | + | 0.909140i | ||||
\(4\) | −5.96634 | + | 2.65639i | −0.745793 | + | 0.332048i | ||||
\(5\) | 9.75102 | − | 5.46969i | 0.872158 | − | 0.489224i | ||||
\(6\) | 15.8991 | − | 11.8134i | 1.08179 | − | 0.803799i | ||||
\(7\) | −4.93704 | + | 2.85040i | −0.266575 | + | 0.153907i | −0.627330 | − | 0.778753i | \(-0.715852\pi\) |
0.360755 | + | 0.932661i | \(0.382519\pi\) | |||||||
\(8\) | −3.29151 | − | 4.53038i | −0.145466 | − | 0.200216i | ||||
\(9\) | −17.6329 | + | 20.4470i | −0.653072 | + | 0.757296i | ||||
\(10\) | −28.1227 | − | 32.0232i | −0.889319 | − | 1.01266i | ||||
\(11\) | −3.91048 | + | 0.831199i | −0.107187 | + | 0.0227833i | −0.261193 | − | 0.965287i | \(-0.584116\pi\) |
0.154006 | + | 0.988070i | \(0.450783\pi\) | |||||||
\(12\) | −25.4609 | − | 22.4364i | −0.612494 | − | 0.539735i | ||||
\(13\) | 18.8877 | − | 88.8597i | 0.402962 | − | 1.89579i | −0.0399100 | − | 0.999203i | \(-0.512707\pi\) |
0.442872 | − | 0.896585i | \(-0.353960\pi\) | |||||||
\(14\) | 14.5410 | + | 16.1494i | 0.277589 | + | 0.308294i | ||||
\(15\) | 46.9417 | + | 34.2269i | 0.808019 | + | 0.589157i | ||||
\(16\) | −49.2441 | + | 54.6911i | −0.769439 | + | 0.854549i | ||||
\(17\) | 27.5620 | + | 37.9359i | 0.393222 | + | 0.541224i | 0.959027 | − | 0.283316i | \(-0.0914344\pi\) |
−0.565805 | + | 0.824539i | \(0.691434\pi\) | |||||||
\(18\) | 90.2147 | + | 49.5418i | 1.18132 | + | 0.648729i | ||||
\(19\) | 123.602 | − | 89.8023i | 1.49244 | − | 1.08432i | 0.519163 | − | 0.854675i | \(-0.326244\pi\) |
0.973275 | − | 0.229644i | \(-0.0737561\pi\) | |||||||
\(20\) | −43.6483 | + | 58.5366i | −0.488003 | + | 0.654459i | ||||
\(21\) | −24.1498 | − | 17.1540i | −0.250949 | − | 0.178253i | ||||
\(22\) | 6.19850 | + | 13.9221i | 0.0600693 | + | 0.134918i | ||||
\(23\) | 66.4280 | − | 59.8120i | 0.602225 | − | 0.542246i | −0.310629 | − | 0.950531i | \(-0.600540\pi\) |
0.912855 | + | 0.408285i | \(0.133873\pi\) | |||||||
\(24\) | 14.2783 | − | 25.3536i | 0.121440 | − | 0.215637i | ||||
\(25\) | 65.1649 | − | 106.670i | 0.521319 | − | 0.853362i | ||||
\(26\) | −346.296 | −2.61209 | ||||||||
\(27\) | −134.753 | − | 39.0482i | −0.960486 | − | 0.278327i | ||||
\(28\) | 21.8843 | − | 30.1211i | 0.147705 | − | 0.203299i | ||||
\(29\) | 3.36489 | − | 32.0148i | 0.0215464 | − | 0.205000i | −0.978453 | − | 0.206472i | \(-0.933802\pi\) |
0.999999 | + | 0.00147173i | \(0.000468468\pi\) | |||||||
\(30\) | 90.4166 | − | 202.156i | 0.550258 | − | 1.23028i | ||||
\(31\) | −14.1845 | − | 134.956i | −0.0821808 | − | 0.781899i | −0.955548 | − | 0.294836i | \(-0.904735\pi\) |
0.873367 | − | 0.487063i | \(-0.161932\pi\) | |||||||
\(32\) | 204.156 | + | 117.869i | 1.12781 | + | 0.651142i | ||||
\(33\) | −12.3895 | − | 16.6744i | −0.0653555 | − | 0.0879588i | ||||
\(34\) | 119.605 | − | 132.835i | 0.603299 | − | 0.670031i | ||||
\(35\) | −32.5503 | + | 54.7984i | −0.157200 | + | 0.264646i | ||||
\(36\) | 50.8890 | − | 168.834i | 0.235597 | − | 0.781637i | ||||
\(37\) | −102.435 | + | 33.2831i | −0.455140 | + | 0.147884i | −0.527610 | − | 0.849487i | \(-0.676912\pi\) |
0.0724700 | + | 0.997371i | \(0.476912\pi\) | |||||||
\(38\) | −432.802 | − | 389.697i | −1.84763 | − | 1.66361i | ||||
\(39\) | 460.652 | − | 103.079i | 1.89137 | − | 0.423228i | ||||
\(40\) | −56.8754 | − | 26.1723i | −0.224820 | − | 0.103455i | ||||
\(41\) | 161.891 | + | 34.4110i | 0.616662 | + | 0.131076i | 0.505643 | − | 0.862743i | \(-0.331255\pi\) |
0.111019 | + | 0.993818i | \(0.464589\pi\) | |||||||
\(42\) | −44.8214 | + | 103.642i | −0.164669 | + | 0.380768i | ||||
\(43\) | 196.031 | − | 113.179i | 0.695221 | − | 0.401386i | −0.110344 | − | 0.993893i | \(-0.535195\pi\) |
0.805565 | + | 0.592507i | \(0.201862\pi\) | |||||||
\(44\) | 21.1233 | − | 15.3470i | 0.0723740 | − | 0.0525828i | ||||
\(45\) | −60.1003 | + | 295.826i | −0.199094 | + | 0.979980i | ||||
\(46\) | −275.665 | − | 200.283i | −0.883580 | − | 0.641958i | ||||
\(47\) | −162.330 | − | 17.0615i | −0.503791 | − | 0.0529506i | −0.150776 | − | 0.988568i | \(-0.548177\pi\) |
−0.353016 | + | 0.935617i | \(0.614844\pi\) | |||||||
\(48\) | −364.934 | − | 114.271i | −1.09737 | − | 0.343617i | ||||
\(49\) | −155.250 | + | 268.902i | −0.452625 | + | 0.783970i | ||||
\(50\) | −449.382 | − | 158.436i | −1.27105 | − | 0.448124i | ||||
\(51\) | −119.562 | + | 212.303i | −0.328275 | + | 0.582908i | ||||
\(52\) | 123.355 | + | 580.340i | 0.328967 | + | 1.54767i | ||||
\(53\) | −131.658 | + | 181.211i | −0.341219 | + | 0.469647i | −0.944797 | − | 0.327657i | \(-0.893741\pi\) |
0.603578 | + | 0.797304i | \(0.293741\pi\) | |||||||
\(54\) | −38.7991 | + | 533.393i | −0.0977758 | + | 1.34418i | ||||
\(55\) | −33.5848 | + | 29.4942i | −0.0823377 | + | 0.0723090i | ||||
\(56\) | 29.1637 | + | 12.9845i | 0.0695922 | + | 0.0309844i | ||||
\(57\) | 691.722 | + | 389.556i | 1.60738 | + | 0.905226i | ||||
\(58\) | −122.039 | + | 12.8268i | −0.276285 | + | 0.0290387i | ||||
\(59\) | −870.110 | − | 184.948i | −1.91998 | − | 0.408104i | −0.999865 | − | 0.0164490i | \(-0.994764\pi\) |
−0.920112 | − | 0.391655i | \(-0.871903\pi\) | |||||||
\(60\) | −370.990 | − | 79.5143i | −0.798243 | − | 0.171087i | ||||
\(61\) | −269.348 | + | 57.2516i | −0.565352 | + | 0.120169i | −0.481716 | − | 0.876327i | \(-0.659986\pi\) |
−0.0836353 | + | 0.996496i | \(0.526653\pi\) | |||||||
\(62\) | −491.963 | + | 159.848i | −1.00773 | + | 0.327432i | ||||
\(63\) | 28.7723 | − | 151.208i | 0.0575392 | − | 0.302388i | ||||
\(64\) | 95.7553 | − | 294.704i | 0.187022 | − | 0.575595i | ||||
\(65\) | −301.861 | − | 969.783i | −0.576019 | − | 1.85057i | ||||
\(66\) | −52.3538 | + | 59.4113i | −0.0976410 | + | 0.110803i | ||||
\(67\) | 614.574 | − | 64.5943i | 1.12063 | − | 0.117783i | 0.473955 | − | 0.880549i | \(-0.342826\pi\) |
0.646674 | + | 0.762766i | \(0.276159\pi\) | |||||||
\(68\) | −265.217 | − | 153.123i | −0.472974 | − | 0.273072i | ||||
\(69\) | 426.314 | + | 184.366i | 0.743799 | + | 0.321667i | ||||
\(70\) | 230.122 | + | 77.9384i | 0.392926 | + | 0.133077i | ||||
\(71\) | 244.445 | + | 177.600i | 0.408595 | + | 0.296862i | 0.773033 | − | 0.634366i | \(-0.218739\pi\) |
−0.364438 | + | 0.931228i | \(0.618739\pi\) | |||||||
\(72\) | 150.672 | + | 12.5823i | 0.246623 | + | 0.0205950i | ||||
\(73\) | 697.474 | + | 226.623i | 1.11826 | + | 0.363346i | 0.809104 | − | 0.587665i | \(-0.199953\pi\) |
0.309158 | + | 0.951011i | \(0.399953\pi\) | |||||||
\(74\) | 205.286 | + | 355.565i | 0.322486 | + | 0.558563i | ||||
\(75\) | 644.940 | + | 76.9909i | 0.992950 | + | 0.118535i | ||||
\(76\) | −498.904 | + | 864.127i | −0.753003 | + | 1.30424i | ||||
\(77\) | 16.9369 | − | 15.2501i | 0.0250668 | − | 0.0225703i | ||||
\(78\) | −749.436 | − | 1635.91i | −1.08791 | − | 2.37475i | ||||
\(79\) | −0.941299 | + | 8.95586i | −0.00134056 | + | 0.0127546i | −0.995172 | − | 0.0981490i | \(-0.968708\pi\) |
0.993831 | + | 0.110904i | \(0.0353745\pi\) | |||||||
\(80\) | −181.037 | + | 802.645i | −0.253006 | + | 1.12173i | ||||
\(81\) | −107.159 | − | 721.081i | −0.146995 | − | 0.989137i | ||||
\(82\) | − | 630.908i | − | 0.849660i | ||||||
\(83\) | 133.683 | − | 300.257i | 0.176791 | − | 0.397079i | −0.803315 | − | 0.595554i | \(-0.796932\pi\) |
0.980106 | + | 0.198476i | \(0.0635991\pi\) | |||||||
\(84\) | 189.654 | + | 38.1955i | 0.246345 | + | 0.0496127i | ||||
\(85\) | 476.256 | + | 219.158i | 0.607731 | + | 0.279659i | ||||
\(86\) | −577.369 | − | 641.233i | −0.723945 | − | 0.804022i | ||||
\(87\) | 158.521 | − | 53.3889i | 0.195348 | − | 0.0657919i | ||||
\(88\) | 16.6370 | + | 14.9801i | 0.0201536 | + | 0.0181464i | ||||
\(89\) | −359.902 | + | 1107.66i | −0.428646 | + | 1.31924i | 0.470813 | + | 0.882233i | \(0.343961\pi\) |
−0.899459 | + | 0.437004i | \(0.856039\pi\) | |||||||
\(90\) | 1150.66 | − | 10.3635i | 1.34767 | − | 0.0121379i | ||||
\(91\) | 160.036 | + | 492.541i | 0.184356 | + | 0.567388i | ||||
\(92\) | −237.448 | + | 533.317i | −0.269083 | + | 0.604371i | ||||
\(93\) | 606.840 | − | 359.073i | 0.676628 | − | 0.400367i | ||||
\(94\) | 65.0377 | + | 618.792i | 0.0713630 | + | 0.678974i | ||||
\(95\) | 714.058 | − | 1551.73i | 0.771166 | − | 1.67583i | ||||
\(96\) | −114.995 | + | 1219.52i | −0.122257 | + | 1.29653i | ||||
\(97\) | 1599.32 | + | 168.096i | 1.67409 | + | 0.175954i | 0.893492 | − | 0.449079i | \(-0.148248\pi\) |
0.780598 | + | 0.625033i | \(0.214914\pi\) | |||||||
\(98\) | 1125.68 | + | 365.757i | 1.16032 | + | 0.377011i | ||||
\(99\) | 51.9578 | − | 94.6141i | 0.0527470 | − | 0.0960513i | ||||
\(100\) | −105.439 | + | 809.534i | −0.105439 | + | 0.809534i | ||||
\(101\) | −383.298 | − | 663.891i | −0.377619 | − | 0.654056i | 0.613096 | − | 0.790008i | \(-0.289924\pi\) |
−0.990715 | + | 0.135953i | \(0.956590\pi\) | |||||||
\(102\) | 886.361 | + | 277.545i | 0.860420 | + | 0.269422i | ||||
\(103\) | −528.770 | − | 1187.64i | −0.505837 | − | 1.13613i | −0.968368 | − | 0.249526i | \(-0.919725\pi\) |
0.462531 | − | 0.886603i | \(-0.346942\pi\) | |||||||
\(104\) | −464.737 | + | 206.914i | −0.438185 | + | 0.195092i | ||||
\(105\) | −329.313 | − | 35.1770i | −0.306073 | − | 0.0326945i | ||||
\(106\) | 780.019 | + | 347.287i | 0.714738 | + | 0.318222i | ||||
\(107\) | 1457.13i | 1.31651i | 0.752797 | + | 0.658253i | \(0.228704\pi\) | ||||
−0.752797 | + | 0.658253i | \(0.771296\pi\) | |||||||
\(108\) | 907.707 | − | 124.980i | 0.808742 | − | 0.111354i | ||||
\(109\) | 344.439 | + | 1060.07i | 0.302672 | + | 0.931528i | 0.980536 | + | 0.196341i | \(0.0629059\pi\) |
−0.677864 | + | 0.735188i | \(0.737094\pi\) | |||||||
\(110\) | 136.591 | + | 101.850i | 0.118395 | + | 0.0882824i | ||||
\(111\) | −378.915 | − | 411.876i | −0.324009 | − | 0.352194i | ||||
\(112\) | 87.2284 | − | 410.377i | 0.0735920 | − | 0.346223i | ||||
\(113\) | −38.4422 | + | 180.856i | −0.0320030 | + | 0.150562i | −0.991248 | − | 0.132014i | \(-0.957856\pi\) |
0.959245 | + | 0.282576i | \(0.0911890\pi\) | |||||||
\(114\) | 904.293 | − | 2887.93i | 0.742937 | − | 2.37263i | ||||
\(115\) | 320.587 | − | 946.569i | 0.259956 | − | 0.767548i | ||||
\(116\) | 64.9677 | + | 199.950i | 0.0520008 | + | 0.160042i | ||||
\(117\) | 1483.87 | + | 1953.05i | 1.17251 | + | 1.54325i | ||||
\(118\) | 3390.92i | 2.64542i | ||||||||
\(119\) | −244.207 | − | 108.728i | −0.188121 | − | 0.0837570i | ||||
\(120\) | 0.551801 | − | 325.322i | 0.000419769 | − | 0.247481i | ||||
\(121\) | −1201.33 | + | 534.866i | −0.902576 | + | 0.401853i | ||||
\(122\) | 426.943 | + | 958.929i | 0.316833 | + | 0.711618i | ||||
\(123\) | 187.797 | + | 839.249i | 0.137668 | + | 0.615224i | ||||
\(124\) | 443.125 | + | 767.516i | 0.320918 | + | 0.555846i | ||||
\(125\) | 51.9708 | − | 1396.58i | 0.0371873 | − | 0.999308i | ||||
\(126\) | −586.607 | + | 12.5582i | −0.414755 | + | 0.00887914i | ||||
\(127\) | −1122.62 | − | 364.761i | −0.784381 | − | 0.254861i | −0.110671 | − | 0.993857i | \(-0.535300\pi\) |
−0.673709 | + | 0.738996i | \(0.735300\pi\) | |||||||
\(128\) | 700.836 | + | 73.6609i | 0.483951 | + | 0.0508653i | ||||
\(129\) | 958.901 | + | 681.123i | 0.654469 | + | 0.464880i | ||||
\(130\) | −3376.74 | + | 1894.13i | −2.27815 | + | 1.27790i | ||||
\(131\) | 307.385 | + | 2924.57i | 0.205010 | + | 1.95054i | 0.297231 | + | 0.954805i | \(0.403937\pi\) |
−0.0922209 | + | 0.995739i | \(0.529397\pi\) | |||||||
\(132\) | 118.213 | + | 66.5740i | 0.0779482 | + | 0.0438979i | ||||
\(133\) | −354.256 | + | 795.673i | −0.230962 | + | 0.518749i | ||||
\(134\) | −727.930 | − | 2240.34i | −0.469280 | − | 1.44430i | ||||
\(135\) | −1527.56 | + | 356.295i | −0.973860 | + | 0.227148i | ||||
\(136\) | 81.1431 | − | 249.733i | 0.0511615 | − | 0.157459i | ||||
\(137\) | 1682.13 | + | 1514.60i | 1.04901 | + | 0.944532i | 0.998530 | − | 0.0541934i | \(-0.0172588\pi\) |
0.0504783 | + | 0.998725i | \(0.483925\pi\) | |||||||
\(138\) | 349.561 | − | 1735.69i | 0.215628 | − | 1.07067i | ||||
\(139\) | 386.345 | + | 429.080i | 0.235751 | + | 0.261828i | 0.849398 | − | 0.527752i | \(-0.176965\pi\) |
−0.613648 | + | 0.789580i | \(0.710298\pi\) | |||||||
\(140\) | 48.6408 | − | 413.412i | 0.0293635 | − | 0.249569i | ||||
\(141\) | −270.706 | − | 803.773i | −0.161685 | − | 0.480070i | ||||
\(142\) | 468.472 | − | 1052.21i | 0.276854 | − | 0.621825i | ||||
\(143\) | 363.184i | 0.212384i | ||||||||
\(144\) | −249.951 | − | 1971.26i | −0.144648 | − | 1.14077i | ||||
\(145\) | −142.300 | − | 330.582i | −0.0814992 | − | 0.189334i | ||||
\(146\) | 292.216 | − | 2780.25i | 0.165644 | − | 1.57599i | ||||
\(147\) | −1606.28 | − | 151.465i | −0.901253 | − | 0.0849839i | ||||
\(148\) | 522.749 | − | 470.685i | 0.290336 | − | 0.261419i | ||||
\(149\) | −246.537 | + | 427.014i | −0.135551 | + | 0.234781i | −0.925808 | − | 0.377995i | \(-0.876614\pi\) |
0.790257 | + | 0.612776i | \(0.209947\pi\) | |||||||
\(150\) | −224.075 | − | 2465.77i | −0.121971 | − | 1.34220i | ||||
\(151\) | −612.439 | − | 1060.77i | −0.330063 | − | 0.571686i | 0.652461 | − | 0.757823i | \(-0.273737\pi\) |
−0.982524 | + | 0.186136i | \(0.940403\pi\) | |||||||
\(152\) | −813.677 | − | 264.380i | −0.434197 | − | 0.141079i | ||||
\(153\) | −1261.67 | − | 105.360i | −0.666669 | − | 0.0556723i | ||||
\(154\) | −70.2857 | − | 51.0655i | −0.0367778 | − | 0.0267206i | ||||
\(155\) | −876.482 | − | 1238.38i | −0.454198 | − | 0.641734i | ||||
\(156\) | −2474.59 | + | 1838.68i | −1.27004 | + | 0.943666i | ||||
\(157\) | 446.522 | + | 257.799i | 0.226983 | + | 0.131049i | 0.609179 | − | 0.793032i | \(-0.291499\pi\) |
−0.382197 | + | 0.924081i | \(0.624832\pi\) | |||||||
\(158\) | 34.1393 | − | 3.58819i | 0.0171897 | − | 0.00180671i | ||||
\(159\) | −1140.98 | − | 229.787i | −0.569089 | − | 0.114612i | ||||
\(160\) | 2635.43 | + | 32.6774i | 1.30218 | + | 0.0161461i | ||||
\(161\) | −157.469 | + | 484.640i | −0.0770826 | + | 0.237236i | ||||
\(162\) | −2603.73 | + | 971.052i | −1.26277 | + | 0.470945i | ||||
\(163\) | 2320.11 | − | 753.849i | 1.11488 | − | 0.362246i | 0.307067 | − | 0.951688i | \(-0.400653\pi\) |
0.807810 | + | 0.589442i | \(0.200653\pi\) | |||||||
\(164\) | −1057.31 | + | 224.737i | −0.503425 | + | 0.107006i | ||||
\(165\) | −212.014 | − | 94.8259i | −0.100032 | − | 0.0447405i | ||||
\(166\) | −1225.51 | − | 260.489i | −0.572998 | − | 0.121794i | ||||
\(167\) | −682.713 | + | 71.7561i | −0.316347 | + | 0.0332494i | −0.261371 | − | 0.965238i | \(-0.584175\pi\) |
−0.0549756 | + | 0.998488i | \(0.517508\pi\) | |||||||
\(168\) | 1.77529 | + | 165.871i | 0.000815277 | + | 0.0761738i | ||||
\(169\) | −5532.24 | − | 2463.11i | −2.51809 | − | 1.12113i | ||||
\(170\) | 439.707 | − | 1949.48i | 0.198376 | − | 0.879521i | ||||
\(171\) | −343.283 | + | 4110.77i | −0.153518 | + | 1.83836i | ||||
\(172\) | −868.944 | + | 1196.00i | −0.385211 | + | 0.530198i | ||||
\(173\) | 762.787 | + | 3588.63i | 0.335223 | + | 1.57710i | 0.746370 | + | 0.665532i | \(0.231795\pi\) |
−0.411146 | + | 0.911569i | \(0.634872\pi\) | |||||||
\(174\) | −324.705 | − | 548.757i | −0.141470 | − | 0.239087i | ||||
\(175\) | −17.6687 | + | 712.381i | −0.00763216 | + | 0.307719i | ||||
\(176\) | 147.109 | − | 254.800i | 0.0630043 | − | 0.109127i | ||||
\(177\) | −1009.35 | − | 4510.68i | −0.428628 | − | 1.91550i | ||||
\(178\) | 4415.33 | + | 464.070i | 1.85923 | + | 0.195413i | ||||
\(179\) | 1158.94 | + | 842.016i | 0.483927 | + | 0.351593i | 0.802844 | − | 0.596189i | \(-0.203319\pi\) |
−0.318917 | + | 0.947783i | \(0.603319\pi\) | |||||||
\(180\) | −427.249 | − | 1924.65i | −0.176918 | − | 0.796971i | ||||
\(181\) | −3418.21 | + | 2483.47i | −1.40372 | + | 1.01986i | −0.409522 | + | 0.912300i | \(0.634305\pi\) |
−0.994198 | + | 0.107563i | \(0.965695\pi\) | |||||||
\(182\) | 1709.68 | − | 987.082i | 0.696317 | − | 0.402019i | ||||
\(183\) | −853.367 | − | 1148.51i | −0.344714 | − | 0.463935i | ||||
\(184\) | −489.619 | − | 104.072i | −0.196170 | − | 0.0416971i | ||||
\(185\) | −816.796 | + | 884.832i | −0.324606 | + | 0.351644i | ||||
\(186\) | −1819.81 | − | 1978.11i | −0.717392 | − | 0.779797i | ||||
\(187\) | −139.313 | − | 125.438i | −0.0544791 | − | 0.0490532i | ||||
\(188\) | 1013.84 | − | 329.415i | 0.393306 | − | 0.127793i | ||||
\(189\) | 776.581 | − | 191.316i | 0.298878 | − | 0.0736306i | ||||
\(190\) | −6351.79 | − | 1432.65i | −2.42530 | − | 0.547027i | ||||
\(191\) | 1650.99 | − | 1833.61i | 0.625453 | − | 0.694636i | −0.344262 | − | 0.938873i | \(-0.611871\pi\) |
0.969715 | + | 0.244238i | \(0.0785377\pi\) | |||||||
\(192\) | 1599.42 | − | 185.433i | 0.601189 | − | 0.0697004i | ||||
\(193\) | 1695.16 | + | 978.699i | 0.632228 | + | 0.365017i | 0.781614 | − | 0.623762i | \(-0.214396\pi\) |
−0.149386 | + | 0.988779i | \(0.547730\pi\) | |||||||
\(194\) | −640.773 | − | 6096.55i | −0.237138 | − | 2.25622i | ||||
\(195\) | 3928.01 | − | 3524.75i | 1.44252 | − | 1.29442i | ||||
\(196\) | 211.970 | − | 2016.76i | 0.0772487 | − | 0.734973i | ||||
\(197\) | −1018.48 | + | 1401.82i | −0.368343 | + | 0.506981i | −0.952450 | − | 0.304696i | \(-0.901445\pi\) |
0.584106 | + | 0.811677i | \(0.301445\pi\) | |||||||
\(198\) | −393.962 | − | 118.746i | −0.141402 | − | 0.0426208i | ||||
\(199\) | 2178.85 | 0.776153 | 0.388076 | − | 0.921627i | \(-0.373140\pi\) | ||||
0.388076 | + | 0.921627i | \(0.373140\pi\) | |||||||
\(200\) | −697.747 | + | 55.8848i | −0.246691 | + | 0.0197583i | ||||
\(201\) | 1635.17 | + | 2763.47i | 0.573812 | + | 0.969753i | ||||
\(202\) | −2171.64 | + | 1955.35i | −0.756414 | + | 0.681079i | ||||
\(203\) | 74.6424 | + | 167.650i | 0.0258072 | + | 0.0579640i | ||||
\(204\) | 149.390 | − | 1584.27i | 0.0512714 | − | 0.543732i | ||||
\(205\) | 1766.82 | − | 549.952i | 0.601952 | − | 0.187367i | ||||
\(206\) | −4009.21 | + | 2912.86i | −1.35599 | + | 0.985187i | ||||
\(207\) | 51.6561 | + | 2412.91i | 0.0173447 | + | 0.810189i | ||||
\(208\) | 3929.73 | + | 5408.81i | 1.30999 | + | 1.80304i | ||||
\(209\) | −408.701 | + | 453.909i | −0.135265 | + | 0.150227i | ||||
\(210\) | 129.834 | + | 1255.77i | 0.0426638 | + | 0.412650i | ||||
\(211\) | 783.905 | + | 870.615i | 0.255764 | + | 0.284055i | 0.857329 | − | 0.514769i | \(-0.172122\pi\) |
−0.601564 | + | 0.798824i | \(0.705456\pi\) | |||||||
\(212\) | 304.148 | − | 1430.90i | 0.0985328 | − | 0.463561i | ||||
\(213\) | −309.971 | + | 1539.12i | −0.0997131 | + | 0.495111i | ||||
\(214\) | 5433.13 | − | 1154.85i | 1.73552 | − | 0.368896i | ||||
\(215\) | 1292.45 | − | 2175.84i | 0.409975 | − | 0.690191i | ||||
\(216\) | 266.636 | + | 739.007i | 0.0839922 | + | 0.232792i | ||||
\(217\) | 454.708 | + | 625.852i | 0.142247 | + | 0.195786i | ||||
\(218\) | 3679.66 | − | 2124.45i | 1.14320 | − | 0.660028i | ||||
\(219\) | 438.862 | + | 3785.33i | 0.135414 | + | 1.16799i | ||||
\(220\) | 122.030 | − | 265.187i | 0.0373968 | − | 0.0812676i | ||||
\(221\) | 3891.55 | − | 1732.63i | 1.18450 | − | 0.527373i | ||||
\(222\) | −1235.43 | + | 1739.27i | −0.373499 | + | 0.525821i | ||||
\(223\) | −623.992 | − | 2935.65i | −0.187379 | − | 0.881551i | −0.966896 | − | 0.255170i | \(-0.917869\pi\) |
0.779517 | − | 0.626381i | \(-0.215465\pi\) | |||||||
\(224\) | −1343.90 | −0.400861 | ||||||||
\(225\) | 1032.04 | + | 3213.34i | 0.305789 | + | 0.952099i | ||||
\(226\) | 704.818 | 0.207450 | ||||||||
\(227\) | −115.993 | − | 545.705i | −0.0339151 | − | 0.159558i | 0.957931 | − | 0.286998i | \(-0.0926573\pi\) |
−0.991846 | + | 0.127440i | \(0.959324\pi\) | |||||||
\(228\) | −5161.86 | − | 486.739i | −1.49935 | − | 0.141382i | ||||
\(229\) | 2087.87 | − | 929.579i | 0.602490 | − | 0.268246i | −0.0827415 | − | 0.996571i | \(-0.526368\pi\) |
0.685232 | + | 0.728325i | \(0.259701\pi\) | |||||||
\(230\) | −3783.51 | − | 445.155i | −1.08468 | − | 0.127620i | ||||
\(231\) | 108.696 | + | 47.0072i | 0.0309596 | + | 0.0133889i | ||||
\(232\) | −156.115 | + | 90.1330i | −0.0441786 | + | 0.0255065i | ||||
\(233\) | −1887.57 | − | 2598.02i | −0.530725 | − | 0.730480i | 0.456516 | − | 0.889715i | \(-0.349097\pi\) |
−0.987241 | + | 0.159235i | \(0.949097\pi\) | |||||||
\(234\) | 6106.22 | − | 7080.72i | 1.70588 | − | 1.97812i | ||||
\(235\) | −1676.20 | + | 721.526i | −0.465290 | + | 0.200286i | ||||
\(236\) | 5682.66 | − | 1207.89i | 1.56742 | − | 0.333164i | ||||
\(237\) | −44.3449 | + | 14.9351i | −0.0121540 | + | 0.00409341i | ||||
\(238\) | −211.863 | + | 996.735i | −0.0577017 | + | 0.271465i | ||||
\(239\) | −3558.26 | − | 3951.85i | −0.963032 | − | 1.06956i | −0.997536 | − | 0.0701508i | \(-0.977652\pi\) |
0.0345044 | − | 0.999405i | \(-0.489015\pi\) | |||||||
\(240\) | −4183.51 | + | 881.818i | −1.12518 | + | 0.237171i | ||||
\(241\) | −1221.38 | + | 1356.48i | −0.326457 | + | 0.362567i | −0.883923 | − | 0.467633i | \(-0.845107\pi\) |
0.557466 | + | 0.830200i | \(0.311774\pi\) | |||||||
\(242\) | 2946.44 | + | 4055.43i | 0.782662 | + | 1.07724i | ||||
\(243\) | 3174.50 | − | 2066.75i | 0.838042 | − | 0.545605i | ||||
\(244\) | 1454.94 | − | 1057.07i | 0.381733 | − | 0.277345i | ||||
\(245\) | −43.0408 | + | 3471.24i | −0.0112236 | + | 0.905181i | ||||
\(246\) | 2980.43 | − | 1365.38i | 0.772460 | − | 0.353875i | ||||
\(247\) | −5645.24 | − | 12679.4i | −1.45424 | − | 3.26628i | ||||
\(248\) | −564.714 | + | 508.471i | −0.144594 | + | 0.130193i | ||||
\(249\) | 1707.74 | − | 18.2777i | 0.434632 | − | 0.00465180i | ||||
\(250\) | −5248.53 | + | 913.074i | −1.32779 | + | 0.230992i | ||||
\(251\) | −299.102 | −0.0752157 | −0.0376078 | − | 0.999293i | \(-0.511974\pi\) | ||||
−0.0376078 | + | 0.999293i | \(0.511974\pi\) | |||||||
\(252\) | 230.003 | + | 978.592i | 0.0574952 | + | 0.244625i | ||||
\(253\) | −210.050 | + | 289.109i | −0.0521965 | + | 0.0718423i | ||||
\(254\) | −470.336 | + | 4474.95i | −0.116187 | + | 1.10545i | ||||
\(255\) | −4.62060 | + | 2724.14i | −0.00113472 | + | 0.668988i | ||||
\(256\) | −539.914 | − | 5136.94i | −0.131815 | − | 1.25414i | ||||
\(257\) | 3047.23 | + | 1759.32i | 0.739614 | + | 0.427016i | 0.821929 | − | 0.569590i | \(-0.192898\pi\) |
−0.0823149 | + | 0.996606i | \(0.526231\pi\) | |||||||
\(258\) | 1779.69 | − | 4115.23i | 0.429453 | − | 0.993035i | ||||
\(259\) | 410.854 | − | 456.300i | 0.0985685 | − | 0.109471i | ||||
\(260\) | 4377.12 | + | 4984.20i | 1.04407 | + | 1.18887i | ||||
\(261\) | 595.274 | + | 633.317i | 0.141175 | + | 0.150197i | ||||
\(262\) | 10661.1 | − | 3464.00i | 2.51391 | − | 0.816820i | ||||
\(263\) | 1858.96 | + | 1673.81i | 0.435848 | + | 0.392440i | 0.857638 | − | 0.514254i | \(-0.171931\pi\) |
−0.421790 | + | 0.906694i | \(0.638598\pi\) | |||||||
\(264\) | −34.7613 | + | 111.013i | −0.00810382 | + | 0.0258802i | ||||
\(265\) | −292.627 | + | 2487.12i | −0.0678338 | + | 0.576539i | ||||
\(266\) | 3247.55 | + | 690.289i | 0.748572 | + | 0.159114i | ||||
\(267\) | −6011.52 | + | 696.960i | −1.37790 | + | 0.159750i | ||||
\(268\) | −3495.17 | + | 2017.94i | −0.796647 | + | 0.459945i | ||||
\(269\) | −3755.41 | + | 2728.47i | −0.851196 | + | 0.618430i | −0.925475 | − | 0.378808i | \(-0.876334\pi\) |
0.0742798 | + | 0.997237i | \(0.476334\pi\) | |||||||
\(270\) | 2539.16 | + | 5413.34i | 0.572328 | + | 1.22017i | ||||
\(271\) | −1584.39 | − | 1151.13i | −0.355147 | − | 0.258029i | 0.395878 | − | 0.918303i | \(-0.370440\pi\) |
−0.751025 | + | 0.660274i | \(0.770440\pi\) | |||||||
\(272\) | −3432.02 | − | 360.720i | −0.765062 | − | 0.0804113i | ||||
\(273\) | −1980.44 | + | 1821.95i | −0.439053 | + | 0.403917i | ||||
\(274\) | 4314.24 | − | 7472.48i | 0.951214 | − | 1.64755i | ||||
\(275\) | −166.162 | + | 471.297i | −0.0364362 | + | 0.103347i | ||||
\(276\) | −3033.28 | + | 32.4648i | −0.661529 | + | 0.00708025i | ||||
\(277\) | −1672.43 | − | 7868.16i | −0.362767 | − | 1.70669i | −0.659482 | − | 0.751720i | \(-0.729224\pi\) |
0.296715 | − | 0.954966i | \(-0.404109\pi\) | |||||||
\(278\) | 1293.69 | − | 1780.61i | 0.279102 | − | 0.384151i | ||||
\(279\) | 3009.56 | + | 2089.64i | 0.645799 | + | 0.448400i | ||||
\(280\) | 355.397 | − | 32.9042i | 0.0758537 | − | 0.00702287i | ||||
\(281\) | 2788.76 | + | 1241.63i | 0.592040 | + | 0.263593i | 0.680811 | − | 0.732459i | \(-0.261627\pi\) |
−0.0887713 | + | 0.996052i | \(0.528294\pi\) | |||||||
\(282\) | −2782.44 | + | 1646.40i | −0.587560 | + | 0.347665i | ||||
\(283\) | 2308.34 | − | 242.616i | 0.484864 | − | 0.0509612i | 0.141057 | − | 0.990002i | \(-0.454950\pi\) |
0.343807 | + | 0.939040i | \(0.388283\pi\) | |||||||
\(284\) | −1930.22 | − | 410.280i | −0.403300 | − | 0.0857241i | ||||
\(285\) | 8875.75 | + | 15.0548i | 1.84475 | + | 0.00312901i | ||||
\(286\) | 1354.19 | − | 287.841i | 0.279981 | − | 0.0595119i | ||||
\(287\) | −897.347 | + | 291.566i | −0.184560 | + | 0.0599672i | ||||
\(288\) | −6009.93 | + | 2095.99i | −1.22965 | + | 0.428845i | ||||
\(289\) | 838.735 | − | 2581.36i | 0.170718 | − | 0.525414i | ||||
\(290\) | −1119.85 | + | 792.590i | −0.226757 | + | 0.160491i | ||||
\(291\) | 2667.08 | + | 7919.04i | 0.537276 | + | 1.59527i | ||||
\(292\) | −4763.37 | + | 500.650i | −0.954640 | + | 0.100337i | ||||
\(293\) | −5020.66 | − | 2898.68i | −1.00106 | − | 0.577961i | −0.0924967 | − | 0.995713i | \(-0.529485\pi\) |
−0.908561 | + | 0.417752i | \(0.862818\pi\) | |||||||
\(294\) | 708.299 | + | 6109.32i | 0.140506 | + | 1.21191i | ||||
\(295\) | −9496.07 | + | 2955.81i | −1.87418 | + | 0.583369i | ||||
\(296\) | 487.951 | + | 354.517i | 0.0958161 | + | 0.0696144i | ||||
\(297\) | 559.404 | + | 40.6912i | 0.109293 | + | 0.00794998i | ||||
\(298\) | 1787.58 | + | 580.820i | 0.347489 | + | 0.112906i | ||||
\(299\) | −4060.20 | − | 7032.48i | −0.785310 | − | 1.36020i | ||||
\(300\) | −4052.45 | + | 1253.86i | −0.779894 | + | 0.241305i | ||||
\(301\) | −645.209 | + | 1117.54i | −0.123552 | + | 0.213999i | ||||
\(302\) | −3469.87 | + | 3124.29i | −0.661154 | + | 0.595306i | ||||
\(303\) | 2306.73 | − | 3247.47i | 0.437353 | − | 0.615717i | ||||
\(304\) | −1175.29 | + | 11182.2i | −0.221736 | + | 2.10968i | ||||
\(305\) | −2313.27 | + | 2031.51i | −0.434286 | + | 0.381390i | ||||
\(306\) | 607.088 | + | 4787.85i | 0.113415 | + | 0.894454i | ||||
\(307\) | − | 3519.54i | − | 0.654301i | −0.944972 | − | 0.327151i | \(-0.893912\pi\) | ||
0.944972 | − | 0.327151i | \(-0.106088\pi\) | |||||||
\(308\) | −60.5415 | + | 135.978i | −0.0112002 | + | 0.0251561i | ||||
\(309\) | 4466.10 | − | 5068.15i | 0.822225 | − | 0.933064i | ||||
\(310\) | −3922.82 | + | 4249.57i | −0.718713 | + | 0.778579i | ||||
\(311\) | −2145.07 | − | 2382.34i | −0.391111 | − | 0.434373i | 0.515144 | − | 0.857104i | \(-0.327738\pi\) |
−0.906255 | + | 0.422730i | \(0.861072\pi\) | |||||||
\(312\) | −1983.23 | − | 1747.64i | −0.359866 | − | 0.317117i | ||||
\(313\) | 1505.18 | + | 1355.27i | 0.271814 | + | 0.244742i | 0.793753 | − | 0.608241i | \(-0.208124\pi\) |
−0.521939 | + | 0.852983i | \(0.674791\pi\) | |||||||
\(314\) | 607.354 | − | 1869.24i | 0.109156 | − | 0.335947i | ||||
\(315\) | −546.504 | − | 1631.81i | −0.0977525 | − | 0.291880i | ||||
\(316\) | −18.1741 | − | 55.9342i | −0.00323536 | − | 0.00995742i | ||||
\(317\) | −3246.00 | + | 7290.63i | −0.575121 | + | 1.29174i | 0.358517 | + | 0.933523i | \(0.383283\pi\) |
−0.933638 | + | 0.358219i | \(0.883384\pi\) | |||||||
\(318\) | 47.4823 | + | 4436.42i | 0.00837320 | + | 0.782333i | ||||
\(319\) | 13.4523 | + | 127.990i | 0.00236108 | + | 0.0224642i | ||||
\(320\) | −678.231 | − | 3397.42i | −0.118482 | − | 0.593505i | ||||
\(321\) | −6883.53 | + | 3153.44i | −1.19689 | + | 0.548312i | ||||
\(322\) | 1931.86 | + | 203.046i | 0.334342 | + | 0.0351408i | ||||
\(323\) | 6813.46 | + | 2213.83i | 1.17372 | + | 0.381364i | ||||
\(324\) | 2554.82 | + | 4017.56i | 0.438069 | + | 0.688882i | ||||
\(325\) | −8247.87 | − | 7805.29i | −1.40772 | − | 1.33218i | ||||
\(326\) | −4649.64 | − | 8053.42i | −0.789938 | − | 1.36821i | ||||
\(327\) | −4262.40 | + | 3921.29i | −0.720830 | + | 0.663144i | ||||
\(328\) | −376.972 | − | 846.692i | −0.0634597 | − | 0.142533i | ||||
\(329\) | 850.059 | − | 378.471i | 0.142448 | − | 0.0634217i | ||||
\(330\) | −185.541 | + | 865.680i | −0.0309506 | + | 0.144406i | ||||
\(331\) | 6064.69 | + | 2700.17i | 1.00709 | + | 0.448384i | 0.842914 | − | 0.538048i | \(-0.180838\pi\) |
0.164172 | + | 0.986432i | \(0.447505\pi\) | |||||||
\(332\) | 2146.55i | 0.354841i | ||||||||
\(333\) | 1125.69 | − | 2681.36i | 0.185247 | − | 0.441255i | ||||
\(334\) | 808.637 | + | 2488.73i | 0.132475 | + | 0.407716i | ||||
\(335\) | 5639.41 | − | 3991.39i | 0.919743 | − | 0.650964i | ||||
\(336\) | 2127.41 | − | 476.047i | 0.345416 | − | 0.0772932i | ||||
\(337\) | −489.068 | + | 2300.89i | −0.0790542 | + | 0.371921i | −0.999835 | − | 0.0181595i | \(-0.994219\pi\) |
0.920781 | + | 0.390080i | \(0.127553\pi\) | |||||||
\(338\) | −4799.51 | + | 22579.9i | −0.772364 | + | 3.63369i | ||||
\(339\) | −937.566 | + | 209.798i | −0.150211 | + | 0.0336125i | ||||
\(340\) | −3423.67 | − | 42.4510i | −0.546102 | − | 0.00677126i | ||||
\(341\) | 167.644 | + | 515.954i | 0.0266229 | + | 0.0819369i | ||||
\(342\) | 15599.7 | − | 1978.01i | 2.46648 | − | 0.312744i | ||||
\(343\) | − | 3725.48i | − | 0.586463i | ||||||
\(344\) | −1157.98 | − | 515.567i | −0.181495 | − | 0.0808067i | ||||
\(345\) | 5165.42 | − | 534.051i | 0.806077 | − | 0.0833401i | ||||
\(346\) | 12776.2 | − | 5688.33i | 1.98512 | − | 0.883834i | ||||
\(347\) | 1704.07 | + | 3827.40i | 0.263629 | + | 0.592120i | 0.996056 | − | 0.0887252i | \(-0.0282793\pi\) |
−0.732427 | + | 0.680845i | \(0.761613\pi\) | |||||||
\(348\) | −803.970 | + | 739.630i | −0.123843 | + | 0.113932i | ||||
\(349\) | −3658.61 | − | 6336.89i | −0.561148 | − | 0.971937i | −0.997397 | − | 0.0721111i | \(-0.977026\pi\) |
0.436248 | − | 0.899826i | \(-0.356307\pi\) | |||||||
\(350\) | 2670.22 | − | 498.716i | 0.407798 | − | 0.0761643i | ||||
\(351\) | −6014.98 | + | 11236.5i | −0.914689 | + | 1.70872i | ||||
\(352\) | −896.320 | − | 291.232i | −0.135722 | − | 0.0440986i | ||||
\(353\) | 7385.60 | + | 776.258i | 1.11359 | + | 0.117043i | 0.643404 | − | 0.765527i | \(-0.277522\pi\) |
0.470182 | + | 0.882569i | \(0.344188\pi\) | |||||||
\(354\) | −16018.8 | + | 7338.44i | −2.40505 | + | 1.10179i | ||||
\(355\) | 3355.00 | + | 394.739i | 0.501592 | + | 0.0590157i | ||||
\(356\) | −795.086 | − | 7564.74i | −0.118369 | − | 1.12621i | ||||
\(357\) | −14.8657 | − | 1388.95i | −0.00220385 | − | 0.205913i | ||||
\(358\) | 2221.07 | − | 4988.60i | 0.327897 | − | 0.736469i | ||||
\(359\) | 1363.14 | + | 4195.30i | 0.200400 | + | 0.616768i | 0.999871 | + | 0.0160631i | \(0.00511327\pi\) |
−0.799471 | + | 0.600705i | \(0.794887\pi\) | |||||||
\(360\) | 1538.02 | − | 701.437i | 0.225169 | − | 0.102692i | ||||
\(361\) | 5093.52 | − | 15676.2i | 0.742604 | − | 2.28550i | ||||
\(362\) | 11969.1 | + | 10777.0i | 1.73780 | + | 1.56472i | ||||
\(363\) | −5126.57 | − | 4517.58i | −0.741254 | − | 0.653200i | ||||
\(364\) | −2263.21 | − | 2513.55i | −0.325891 | − | 0.361939i | ||||
\(365\) | 8040.64 | − | 1605.16i | 1.15306 | − | 0.230187i | ||||
\(366\) | −3606.04 | + | 4092.15i | −0.515003 | + | 0.584427i | ||||
\(367\) | −2933.70 | + | 6589.20i | −0.417270 | + | 0.937203i | 0.575570 | + | 0.817752i | \(0.304780\pi\) |
−0.992840 | + | 0.119451i | \(0.961887\pi\) | |||||||
\(368\) | 6578.41i | 0.931857i | ||||||||
\(369\) | −3558.22 | + | 2703.42i | −0.501987 | + | 0.381394i | ||||
\(370\) | 3946.58 | + | 2344.28i | 0.554521 | + | 0.329387i | ||||
\(371\) | 133.474 | − | 1269.92i | 0.0186783 | − | 0.177712i | ||||
\(372\) | −2666.78 | + | 3754.35i | −0.371683 | + | 0.523264i | ||||
\(373\) | 8299.75 | − | 7473.13i | 1.15213 | − | 1.03738i | 0.153343 | − | 0.988173i | \(-0.450996\pi\) |
0.998788 | − | 0.0492103i | \(-0.0156705\pi\) | |||||||
\(374\) | −357.302 | + | 618.866i | −0.0494002 | + | 0.0855636i | ||||
\(375\) | 6709.94 | − | 2776.88i | 0.923999 | − | 0.382394i | ||||
\(376\) | 457.014 | + | 791.572i | 0.0626828 | + | 0.108570i | ||||
\(377\) | −2781.27 | − | 903.690i | −0.379954 | − | 0.123455i | ||||
\(378\) | −1328.83 | − | 2743.97i | −0.180814 | − | 0.373372i | ||||
\(379\) | 7477.86 | + | 5432.98i | 1.01349 | + | 0.736342i | 0.964938 | − | 0.262479i | \(-0.0845401\pi\) |
0.0485496 | + | 0.998821i | \(0.484540\pi\) | |||||||
\(380\) | −138.313 | + | 11155.0i | −0.0186719 | + | 1.50589i | ||||
\(381\) | −706.371 | − | 6092.68i | −0.0949828 | − | 0.819259i | ||||
\(382\) | −8145.39 | − | 4702.74i | −1.09098 | − | 0.629878i | ||||
\(383\) | −7308.43 | + | 768.147i | −0.975048 | + | 0.102482i | −0.578631 | − | 0.815589i | \(-0.696413\pi\) |
−0.396416 | + | 0.918071i | \(0.629746\pi\) | |||||||
\(384\) | 1168.74 | + | 3470.19i | 0.155317 | + | 0.461164i | ||||
\(385\) | 81.7392 | − | 241.344i | 0.0108203 | − | 0.0319481i | ||||
\(386\) | 2305.73 | − | 7096.31i | 0.304038 | − | 0.935733i | ||||
\(387\) | −1142.44 | + | 6003.93i | −0.150061 | + | 0.788622i | ||||
\(388\) | −9988.64 | + | 3245.51i | −1.30695 | + | 0.424654i | ||||
\(389\) | 3572.30 | − | 759.316i | 0.465612 | − | 0.0989688i | 0.0308687 | − | 0.999523i | \(-0.490173\pi\) |
0.434743 | + | 0.900555i | \(0.356839\pi\) | |||||||
\(390\) | −16255.7 | − | 11852.6i | −2.11062 | − | 1.53893i | ||||
\(391\) | 4099.91 | + | 871.463i | 0.530285 | + | 0.112716i | ||||
\(392\) | 1729.23 | − | 181.750i | 0.222805 | − | 0.0234177i | ||||
\(393\) | −13150.6 | + | 7781.31i | −1.68793 | + | 0.998766i | ||||
\(394\) | 6034.08 | + | 2686.54i | 0.771554 | + | 0.343518i | ||||
\(395\) | 39.8072 | + | 92.4774i | 0.00507068 | + | 0.0117799i | ||||
\(396\) | −58.6662 | + | 702.520i | −0.00744466 | + | 0.0891489i | ||||
\(397\) | −1791.76 | + | 2466.15i | −0.226514 | + | 0.311769i | −0.907114 | − | 0.420886i | \(-0.861719\pi\) |
0.680600 | + | 0.732655i | \(0.261719\pi\) | |||||||
\(398\) | −1726.84 | − | 8124.16i | −0.217485 | − | 1.02318i | ||||
\(399\) | −4525.45 | + | 48.4352i | −0.567809 | + | 0.00607718i | ||||
\(400\) | 2624.93 | + | 8816.82i | 0.328116 | + | 1.10210i | ||||
\(401\) | 1991.17 | − | 3448.81i | 0.247966 | − | 0.429490i | −0.714995 | − | 0.699129i | \(-0.753571\pi\) |
0.962961 | + | 0.269639i | \(0.0869045\pi\) | |||||||
\(402\) | 9008.07 | − | 8287.18i | 1.11762 | − | 1.02818i | ||||
\(403\) | −12260.1 | − | 1288.59i | −1.51543 | − | 0.159278i | ||||
\(404\) | 4050.43 | + | 2942.81i | 0.498804 | + | 0.362402i | ||||
\(405\) | −4989.01 | − | 6445.15i | −0.612113 | − | 0.790770i | ||||
\(406\) | 565.949 | − | 411.186i | 0.0691813 | − | 0.0502631i | ||||
\(407\) | 372.905 | − | 215.297i | 0.0454158 | − | 0.0262208i | ||||
\(408\) | 1355.35 | − | 157.136i | 0.164460 | − | 0.0190671i | ||||
\(409\) | 8200.42 | + | 1743.05i | 0.991405 | + | 0.210730i | 0.674938 | − | 0.737874i | \(-0.264170\pi\) |
0.316467 | + | 0.948604i | \(0.397503\pi\) | |||||||
\(410\) | −3450.87 | − | 6152.00i | −0.415674 | − | 0.741038i | ||||
\(411\) | −3514.63 | + | 11224.3i | −0.421810 | + | 1.34708i | ||||
\(412\) | 6309.65 | + | 5681.23i | 0.754500 | + | 0.679355i | ||||
\(413\) | 4822.94 | − | 1567.07i | 0.574628 | − | 0.186708i | ||||
\(414\) | 8955.97 | − | 2104.96i | 1.06319 | − | 0.249887i | ||||
\(415\) | −338.768 | − | 3659.02i | −0.0400710 | − | 0.432806i | ||||
\(416\) | 14329.9 | − | 15914.9i | 1.68889 | − | 1.87570i | ||||
\(417\) | −1190.88 | + | 2753.70i | −0.139850 | + | 0.323379i | ||||
\(418\) | 2016.38 | + | 1164.16i | 0.235944 | + | 0.136222i | ||||
\(419\) | −1163.16 | − | 11066.8i | −0.135619 | − | 1.29033i | −0.824670 | − | 0.565615i | \(-0.808639\pi\) |
0.689051 | − | 0.724713i | \(-0.258028\pi\) | |||||||
\(420\) | 2058.24 | − | 664.904i | 0.239123 | − | 0.0772476i | ||||
\(421\) | −488.808 | + | 4650.70i | −0.0565868 | + | 0.538387i | 0.929103 | + | 0.369820i | \(0.120581\pi\) |
−0.985690 | + | 0.168567i | \(0.946086\pi\) | |||||||
\(422\) | 2624.94 | − | 3612.92i | 0.302796 | − | 0.416763i | ||||
\(423\) | 3211.20 | − | 3018.31i | 0.369111 | − | 0.346939i | ||||
\(424\) | 1254.31 | 0.143667 | ||||||||
\(425\) | 5842.71 | − | 467.961i | 0.666854 | − | 0.0534104i | ||||
\(426\) | 5984.50 | − | 64.0512i | 0.680633 | − | 0.00728472i | ||||
\(427\) | 1166.59 | − | 1050.40i | 0.132214 | − | 0.119046i | ||||
\(428\) | −3870.70 | − | 8693.74i | −0.437143 | − | 0.981840i | ||||
\(429\) | −1715.69 | + | 785.983i | −0.193087 | + | 0.0884560i | ||||
\(430\) | −9137.28 | − | 3094.65i | −1.02474 | − | 0.347063i | ||||
\(431\) | −5660.98 | + | 4112.94i | −0.632668 | + | 0.459660i | −0.857323 | − | 0.514778i | \(-0.827874\pi\) |
0.224656 | + | 0.974438i | \(0.427874\pi\) | |||||||
\(432\) | 8771.36 | − | 5446.87i | 0.976880 | − | 0.606627i | ||||
\(433\) | 61.4983 | + | 84.6452i | 0.00682545 | + | 0.00939443i | 0.812416 | − | 0.583078i | \(-0.198152\pi\) |
−0.805591 | + | 0.592473i | \(0.798152\pi\) | |||||||
\(434\) | 1973.21 | − | 2191.47i | 0.218242 | − | 0.242382i | ||||
\(435\) | 1253.72 | − | 1387.66i | 0.138187 | − | 0.152950i | ||||
\(436\) | −4871.00 | − | 5409.80i | −0.535043 | − | 0.594225i | ||||
\(437\) | 2839.39 | − | 13358.3i | 0.310816 | − | 1.46227i | ||||
\(438\) | 13766.4 | − | 4636.43i | 1.50179 | − | 0.505793i | ||||
\(439\) | −11271.0 | + | 2395.72i | −1.22536 | + | 0.260459i | −0.774754 | − | 0.632263i | \(-0.782126\pi\) |
−0.450608 | + | 0.892722i | \(0.648793\pi\) | |||||||
\(440\) | 244.165 | + | 55.0714i | 0.0264548 | + | 0.00596688i | ||||
\(441\) | −2760.71 | − | 7915.93i | −0.298101 | − | 0.854760i | ||||
\(442\) | −9544.63 | − | 13137.1i | −1.02713 | − | 1.41372i | ||||
\(443\) | 1647.31 | − | 951.076i | 0.176673 | − | 0.102002i | −0.409056 | − | 0.912509i | \(-0.634142\pi\) |
0.585729 | + | 0.810507i | \(0.300808\pi\) | |||||||
\(444\) | 3354.84 | + | 1450.85i | 0.358589 | + | 0.155077i | ||||
\(445\) | 2549.17 | + | 12769.4i | 0.271556 | + | 1.36029i | ||||
\(446\) | −10451.5 | + | 4653.30i | −1.10962 | + | 0.494036i | ||||
\(447\) | −2550.77 | − | 240.526i | −0.269905 | − | 0.0254507i | ||||
\(448\) | 367.278 | + | 1727.91i | 0.0387327 | + | 0.182223i | ||||
\(449\) | −2248.77 | −0.236360 | −0.118180 | − | 0.992992i | \(-0.537706\pi\) | ||||
−0.118180 | + | 0.992992i | \(0.537706\pi\) | |||||||
\(450\) | 11163.5 | − | 6394.83i | 1.16945 | − | 0.669901i | ||||
\(451\) | −661.675 | −0.0690844 | ||||||||
\(452\) | −251.065 | − | 1181.17i | −0.0261263 | − | 0.122915i | ||||
\(453\) | 3685.73 | − | 5188.85i | 0.382275 | − | 0.538175i | ||||
\(454\) | −1942.81 | + | 864.995i | −0.200838 | + | 0.0894190i | ||||
\(455\) | 4254.57 | + | 3927.43i | 0.438367 | + | 0.404661i | ||||
\(456\) | −511.979 | − | 4415.99i | −0.0525781 | − | 0.453504i | ||||
\(457\) | 6994.99 | − | 4038.56i | 0.716000 | − | 0.413383i | −0.0972786 | − | 0.995257i | \(-0.531014\pi\) |
0.813279 | + | 0.581874i | \(0.197680\pi\) | |||||||
\(458\) | −5120.82 | − | 7048.20i | −0.522445 | − | 0.719084i | ||||
\(459\) | −2232.72 | − | 6188.20i | −0.227047 | − | 0.629282i | ||||
\(460\) | 601.720 | + | 6499.16i | 0.0609899 | + | 0.658749i | ||||
\(461\) | −5033.90 | + | 1069.99i | −0.508573 | + | 0.108101i | −0.455050 | − | 0.890466i | \(-0.650378\pi\) |
−0.0535234 | + | 0.998567i | \(0.517045\pi\) | |||||||
\(462\) | 89.1266 | − | 442.545i | 0.00897520 | − | 0.0445650i | ||||
\(463\) | −2130.79 | + | 10024.6i | −0.213880 | + | 1.00622i | 0.731899 | + | 0.681413i | \(0.238634\pi\) |
−0.945779 | + | 0.324812i | \(0.894699\pi\) | |||||||
\(464\) | 1585.23 | + | 1760.57i | 0.158604 | + | 0.176148i | ||||
\(465\) | 3953.29 | − | 6820.56i | 0.394257 | − | 0.680206i | ||||
\(466\) | −8191.11 | + | 9097.15i | −0.814262 | + | 0.904329i | ||||
\(467\) | 799.769 | + | 1100.79i | 0.0792481 | + | 0.109076i | 0.846801 | − | 0.531910i | \(-0.178526\pi\) |
−0.767553 | + | 0.640986i | \(0.778526\pi\) | |||||||
\(468\) | −14041.3 | − | 7710.86i | −1.38688 | − | 0.761612i | ||||
\(469\) | −2850.05 | + | 2070.68i | −0.280604 | + | 0.203871i | ||||
\(470\) | 4018.79 | + | 5678.12i | 0.394410 | + | 0.557260i | ||||
\(471\) | −251.514 | + | 2667.30i | −0.0246054 | + | 0.260940i | ||||
\(472\) | 2026.09 | + | 4550.68i | 0.197582 | + | 0.443776i | ||||
\(473\) | −672.503 | + | 605.525i | −0.0653737 | + | 0.0588627i | ||||
\(474\) | 90.8332 | + | 153.510i | 0.00880191 | + | 0.0148754i | ||||
\(475\) | −1524.70 | − | 19036.6i | −0.147280 | − | 1.83887i | ||||
\(476\) | 1745.85 | 0.168111 | ||||||||
\(477\) | −1383.72 | − | 5887.30i | −0.132822 | − | 0.565117i | ||||
\(478\) | −11915.0 | + | 16399.5i | −1.14012 | + | 1.56924i | ||||
\(479\) | −1090.69 | + | 10377.2i | −0.104039 | + | 0.989869i | 0.810601 | + | 0.585599i | \(0.199141\pi\) |
−0.914640 | + | 0.404269i | \(0.867526\pi\) | |||||||
\(480\) | 5549.10 | + | 12520.6i | 0.527668 | + | 1.19059i | ||||
\(481\) | 1022.77 | + | 9730.97i | 0.0969525 | + | 0.922441i | ||||
\(482\) | 6025.85 | + | 3479.03i | 0.569440 | + | 0.328766i | ||||
\(483\) | −2630.24 | + | 304.944i | −0.247785 | + | 0.0287276i | ||||
\(484\) | 5746.72 | − | 6382.38i | 0.539700 | − | 0.599397i | ||||
\(485\) | 16514.5 | − | 7108.71i | 1.54615 | − | 0.665546i | ||||
\(486\) | −10222.1 | − | 10198.6i | −0.954085 | − | 0.951889i | ||||
\(487\) | −5165.03 | + | 1678.22i | −0.480595 | + | 0.156155i | −0.539288 | − | 0.842121i | \(-0.681307\pi\) |
0.0586931 | + | 0.998276i | \(0.481307\pi\) | |||||||
\(488\) | 1145.93 | + | 1031.80i | 0.106299 | + | 0.0957121i | ||||
\(489\) | 8582.26 | + | 9328.83i | 0.793668 | + | 0.862708i | ||||
\(490\) | 12977.2 | − | 2590.64i | 1.19642 | − | 0.238844i | ||||
\(491\) | −19025.8 | − | 4044.06i | −1.74872 | − | 0.371703i | −0.781160 | − | 0.624331i | \(-0.785372\pi\) |
−0.967563 | + | 0.252628i | \(0.918705\pi\) | |||||||
\(492\) | −3349.83 | − | 4508.38i | −0.306956 | − | 0.413117i | ||||
\(493\) | 1307.25 | − | 754.743i | 0.119423 | − | 0.0689492i | ||||
\(494\) | −42803.0 | + | 31098.2i | −3.89838 | + | 2.83234i | ||||
\(495\) | −10.8689 | − | 1206.78i | −0.000986908 | − | 0.109577i | ||||
\(496\) | 8079.41 | + | 5870.03i | 0.731404 | + | 0.531396i | ||||
\(497\) | −1713.06 | − | 180.050i | −0.154610 | − | 0.0162502i | ||||
\(498\) | −1421.62 | − | 6353.06i | −0.127920 | − | 0.571662i | ||||
\(499\) | −9504.44 | + | 16462.2i | −0.852659 | + | 1.47685i | 0.0261400 | + | 0.999658i | \(0.491678\pi\) |
−0.878799 | + | 0.477191i | \(0.841655\pi\) | |||||||
\(500\) | 3399.77 | + | 8470.50i | 0.304085 | + | 0.757625i | ||||
\(501\) | −1816.47 | − | 3069.87i | −0.161984 | − | 0.273756i | ||||
\(502\) | 237.053 | + | 1115.25i | 0.0210761 | + | 0.0991551i | ||||
\(503\) | 11480.5 | − | 15801.6i | 1.01768 | − | 1.40071i | 0.103858 | − | 0.994592i | \(-0.466881\pi\) |
0.913819 | − | 0.406121i | \(-0.133119\pi\) | |||||||
\(504\) | −779.736 | + | 367.355i | −0.0689131 | + | 0.0324668i | ||||
\(505\) | −7368.82 | − | 4377.09i | −0.649323 | − | 0.385699i | ||||
\(506\) | 1244.46 | + | 554.069i | 0.109334 | + | 0.0486786i | ||||
\(507\) | −336.766 | − | 31465.0i | −0.0294996 | − | 2.75623i | ||||
\(508\) | 7666.88 | − | 805.821i | 0.669611 | − | 0.0703790i | ||||
\(509\) | 6670.51 | + | 1417.86i | 0.580874 | + | 0.123469i | 0.488972 | − | 0.872299i | \(-0.337372\pi\) |
0.0919022 | + | 0.995768i | \(0.470705\pi\) | |||||||
\(510\) | 10161.0 | − | 2141.78i | 0.882230 | − | 0.185960i | ||||
\(511\) | −4089.42 | + | 869.233i | −0.354022 | + | 0.0752497i | ||||
\(512\) | −13364.3 | + | 4342.32i | −1.15356 | + | 0.374815i | ||||
\(513\) | −20162.3 | + | 7274.64i | −1.73526 | + | 0.626088i | ||||
\(514\) | 4144.80 | − | 12756.4i | 0.355680 | − | 1.09467i | ||||
\(515\) | −11652.1 | − | 8688.46i | −0.996992 | − | 0.743416i | ||||
\(516\) | −7530.45 | − | 1516.60i | −0.642461 | − | 0.129389i | ||||
\(517\) | 648.968 | − | 68.2093i | 0.0552062 | − | 0.00580240i | ||||
\(518\) | −2027.01 | − | 1170.29i | −0.171933 | − | 0.0992658i | ||||
\(519\) | −15302.0 | + | 11369.8i | −1.29419 | + | 0.961612i | ||||
\(520\) | −3399.90 | + | 4559.60i | −0.286722 | + | 0.384522i | ||||
\(521\) | 16928.7 | + | 12299.4i | 1.42353 | + | 1.03426i | 0.991176 | + | 0.132556i | \(0.0423185\pi\) |
0.432358 | + | 0.901702i | \(0.357682\pi\) | |||||||
\(522\) | 1889.64 | − | 2721.50i | 0.158443 | − | 0.228194i | ||||
\(523\) | −9030.21 | − | 2934.09i | −0.754997 | − | 0.245313i | −0.0938668 | − | 0.995585i | \(-0.529923\pi\) |
−0.661130 | + | 0.750271i | \(0.729923\pi\) | |||||||
\(524\) | −9602.77 | − | 16632.5i | −0.800570 | − | 1.38663i | ||||
\(525\) | −3403.55 | + | 1458.23i | −0.282939 | + | 0.121223i | ||||
\(526\) | 4767.74 | − | 8257.97i | 0.395216 | − | 0.684534i | ||||
\(527\) | 4728.73 | − | 4257.77i | 0.390867 | − | 0.351938i | ||||
\(528\) | 1522.05 | + | 143.522i | 0.125452 | + | 0.0118296i | ||||
\(529\) | −436.600 | + | 4153.97i | −0.0358839 | + | 0.341413i | ||||
\(530\) | 9505.54 | − | 880.064i | 0.779046 | − | 0.0721274i | ||||
\(531\) | 19124.2 | − | 14530.0i | 1.56294 | − | 1.18747i | ||||
\(532\) | − | 5688.30i | − | 0.463570i | ||||||
\(533\) | 6115.50 | − | 13735.6i | 0.496983 | − | 1.11624i | ||||
\(534\) | 7363.15 | + | 21862.5i | 0.596694 | + | 1.77169i | ||||
\(535\) | 7970.06 | + | 14208.5i | 0.644066 | + | 1.14820i | ||||
\(536\) | −2315.51 | − | 2571.64i | −0.186595 | − | 0.207235i | ||||
\(537\) | −1469.60 | + | 7297.09i | −0.118097 | + | 0.586392i | ||||
\(538\) | 13149.9 | + | 11840.2i | 1.05377 | + | 0.948823i | ||||
\(539\) | 383.594 | − | 1180.58i | 0.0306541 | − | 0.0943435i | ||||
\(540\) | 8167.47 | − | 6183.56i | 0.650874 | − | 0.492774i | ||||
\(541\) | 6322.03 | + | 19457.2i | 0.502412 | + | 1.54627i | 0.805078 | + | 0.593169i | \(0.202124\pi\) |
−0.302665 | + | 0.953097i | \(0.597876\pi\) | |||||||
\(542\) | −3036.44 | + | 6819.96i | −0.240639 | + | 0.540484i | ||||
\(543\) | −19129.5 | − | 10773.1i | −1.51183 | − | 0.851416i | ||||
\(544\) | 1155.47 | + | 10993.5i | 0.0910666 | + | 0.866441i | ||||
\(545\) | 9156.90 | + | 8452.82i | 0.719704 | + | 0.664365i | ||||
\(546\) | 8363.00 | + | 5940.37i | 0.655501 | + | 0.465613i | ||||
\(547\) | 177.296 | + | 18.6346i | 0.0138586 | + | 0.00145659i | 0.111455 | − | 0.993769i | \(-0.464449\pi\) |
−0.0975966 | + | 0.995226i | \(0.531116\pi\) | |||||||
\(548\) | −14059.5 | − | 4568.22i | −1.09597 | − | 0.356103i | ||||
\(549\) | 3578.77 | − | 6516.87i | 0.278211 | − | 0.506618i | ||||
\(550\) | 1888.99 | + | 246.034i | 0.146449 | + | 0.0190744i | ||||
\(551\) | −2459.10 | − | 4259.28i | −0.190129 | − | 0.329313i | ||||
\(552\) | −567.970 | − | 2538.20i | −0.0437942 | − | 0.195712i | ||||
\(553\) | −20.8805 | − | 46.8985i | −0.00160566 | − | 0.00360638i | ||||
\(554\) | −28012.1 | + | 12471.8i | −2.14824 | + | 0.956456i | ||||
\(555\) | −5947.64 | − | 1943.66i | −0.454889 | − | 0.148656i | ||||
\(556\) | −3444.87 | − | 1533.75i | −0.262761 | − | 0.116989i | ||||
\(557\) | 2218.18i | 0.168738i | 0.996435 | + | 0.0843691i | \(0.0268875\pi\) | ||||
−0.996435 | + | 0.0843691i | \(0.973113\pi\) | |||||||
\(558\) | 5406.33 | − | 12877.8i | 0.410158 | − | 0.976987i | ||||
\(559\) | −6354.45 | − | 19557.0i | −0.480795 | − | 1.47974i | ||||
\(560\) | −1394.07 | − | 4478.71i | −0.105197 | − | 0.337964i | ||||
\(561\) | 291.079 | − | 929.586i | 0.0219062 | − | 0.0699593i | ||||
\(562\) | 2419.39 | − | 11382.4i | 0.181594 | − | 0.854334i | ||||
\(563\) | −942.433 | + | 4433.80i | −0.0705485 | + | 0.331905i | −0.999241 | − | 0.0389452i | \(-0.987600\pi\) |
0.928693 | + | 0.370850i | \(0.120934\pi\) | |||||||
\(564\) | 3750.26 | + | 4076.49i | 0.279990 | + | 0.304346i | ||||
\(565\) | 614.378 | + | 1973.80i | 0.0457470 | + | 0.146971i | ||||
\(566\) | −2734.10 | − | 8414.70i | −0.203044 | − | 0.624905i | ||||
\(567\) | 2584.42 | + | 3254.56i | 0.191420 | + | 0.241056i | ||||
\(568\) | − | 1692.00i | − | 0.124991i | ||||||
\(569\) | 18400.3 | + | 8192.36i | 1.35568 | + | 0.603588i | 0.950522 | − | 0.310658i | \(-0.100549\pi\) |
0.405159 | + | 0.914246i | \(0.367216\pi\) | |||||||
\(570\) | −6978.34 | − | 33106.5i | −0.512790 | − | 2.43277i | ||||
\(571\) | −1531.67 | + | 681.942i | −0.112256 | + | 0.0499797i | −0.462096 | − | 0.886830i | \(-0.652903\pi\) |
0.349840 | + | 0.936809i | \(0.386236\pi\) | |||||||
\(572\) | −964.757 | − | 2166.88i | −0.0705219 | − | 0.158395i | ||||
\(573\) | 12235.0 | + | 3831.13i | 0.892017 | + | 0.279315i | ||||
\(574\) | 1798.34 | + | 3114.81i | 0.130769 | + | 0.226498i | ||||
\(575\) | −2051.39 | − | 10983.5i | −0.148781 | − | 0.796600i | ||||
\(576\) | 4337.37 | + | 7154.41i | 0.313757 | + | 0.517536i | ||||
\(577\) | −15496.7 | − | 5035.19i | −1.11809 | − | 0.363289i | −0.309051 | − | 0.951045i | \(-0.600011\pi\) |
−0.809038 | + | 0.587756i | \(0.800011\pi\) | |||||||
\(578\) | −10289.7 | − | 1081.49i | −0.740478 | − | 0.0778274i | ||||
\(579\) | −954.836 | + | 10126.0i | −0.0685348 | + | 0.726810i | ||||
\(580\) | 1727.17 | + | 1594.36i | 0.123649 | + | 0.114142i | ||||
\(581\) | 195.855 | + | 1863.43i | 0.0139852 | + | 0.133061i | ||||
\(582\) | 27413.5 | − | 16220.9i | 1.95245 | − | 1.15529i | ||||
\(583\) | 364.223 | − | 818.058i | 0.0258741 | − | 0.0581141i | ||||
\(584\) | −1269.06 | − | 3905.75i | −0.0899211 | − | 0.276749i | ||||
\(585\) | 25151.8 | + | 10928.0i | 1.77761 | + | 0.772335i | ||||
\(586\) | −6829.04 | + | 21017.6i | −0.481408 | + | 1.48162i | ||||
\(587\) | −12876.0 | − | 11593.6i | −0.905365 | − | 0.815195i | 0.0779774 | − | 0.996955i | \(-0.475154\pi\) |
−0.983343 | + | 0.181760i | \(0.941820\pi\) | |||||||
\(588\) | 9985.99 | − | 3363.22i | 0.700366 | − | 0.235879i | ||||
\(589\) | −13872.6 | − | 15407.1i | −0.970477 | − | 1.07782i | ||||
\(590\) | 18547.3 | + | 33064.9i | 1.29420 | + | 2.30722i | ||||
\(591\) | −8826.36 | − | 1777.59i | −0.614328 | − | 0.123723i | ||||
\(592\) | 3224.02 | − | 7241.28i | 0.223829 | − | 0.502727i | ||||
\(593\) | − | 4425.11i | − | 0.306438i | −0.988192 | − | 0.153219i | \(-0.951036\pi\) | ||
0.988192 | − | 0.153219i | \(-0.0489640\pi\) | |||||||
\(594\) | −291.632 | − | 2118.07i | −0.0201445 | − | 0.146306i | ||||
\(595\) | −2975.98 | + | 275.529i | −0.205047 | + | 0.0189842i | ||||
\(596\) | 336.608 | − | 3202.61i | 0.0231342 | − | 0.220108i | ||||
\(597\) | 4715.35 | + | 10292.9i | 0.323260 | + | 0.705632i | ||||
\(598\) | −23003.7 | + | 20712.7i | −1.57307 | + | 1.41639i | ||||
\(599\) | 13631.9 | − | 23611.1i | 0.929855 | − | 1.61056i | 0.146293 | − | 0.989241i | \(-0.453266\pi\) |
0.783562 | − | 0.621314i | \(-0.213401\pi\) | |||||||
\(600\) | −1774.03 | − | 3175.24i | −0.120707 | − | 0.216048i | ||||
\(601\) | 3136.75 | + | 5433.02i | 0.212897 | + | 0.368748i | 0.952620 | − | 0.304163i | \(-0.0983769\pi\) |
−0.739723 | + | 0.672911i | \(0.765044\pi\) | |||||||
\(602\) | 4678.26 | + | 1520.06i | 0.316730 | + | 0.102912i | ||||
\(603\) | −9515.98 | + | 13705.2i | −0.642654 | + | 0.925569i | ||||
\(604\) | 6471.85 | + | 4702.07i | 0.435986 | + | 0.316763i | ||||
\(605\) | −8788.63 | + | 11786.4i | −0.590592 | + | 0.792041i | ||||
\(606\) | −13936.9 | − | 6027.21i | −0.934235 | − | 0.404024i | ||||
\(607\) | −9035.78 | − | 5216.81i | −0.604203 | − | 0.348837i | 0.166491 | − | 0.986043i | \(-0.446756\pi\) |
−0.770693 | + | 0.637207i | \(0.780090\pi\) | |||||||
\(608\) | 35819.0 | − | 3764.73i | 2.38923 | − | 0.251119i | ||||
\(609\) | −630.445 | + | 715.432i | −0.0419490 | + | 0.0476039i | ||||
\(610\) | 9408.18 | + | 7015.29i | 0.624469 | + | 0.465641i | ||||
\(611\) | −4582.11 | + | 14102.3i | −0.303392 | + | 0.933745i | ||||
\(612\) | 7807.46 | − | 2722.88i | 0.515683 | − | 0.179846i | ||||
\(613\) | 3055.26 | − | 992.714i | 0.201306 | − | 0.0654084i | −0.206628 | − | 0.978419i | \(-0.566249\pi\) |
0.407935 | + | 0.913011i | \(0.366249\pi\) | |||||||
\(614\) | −13123.1 | + | 2789.41i | −0.862551 | + | 0.183341i | ||||
\(615\) | 6421.65 | + | 7156.34i | 0.421050 | + | 0.469222i | ||||
\(616\) | −124.837 | − | 26.5349i | −0.00816529 | − | 0.00173559i | ||||
\(617\) | −26661.1 | + | 2802.19i | −1.73960 | + | 0.182839i | −0.920482 | − | 0.390784i | \(-0.872204\pi\) |
−0.819119 | + | 0.573624i | \(0.805537\pi\) | |||||||
\(618\) | −22437.0 | − | 12635.8i | −1.46043 | − | 0.822467i | ||||
\(619\) | −2158.70 | − | 961.114i | −0.140170 | − | 0.0624078i | 0.335453 | − | 0.942057i | \(-0.391111\pi\) |
−0.475623 | + | 0.879649i | \(0.657777\pi\) | |||||||
\(620\) | 8519.00 | + | 5060.30i | 0.551825 | + | 0.327785i | ||||
\(621\) | −11286.9 | + | 5465.92i | −0.729351 | + | 0.353204i | ||||
\(622\) | −7182.84 | + | 9886.33i | −0.463031 | + | 0.637308i | ||||
\(623\) | −1380.44 | − | 6494.44i | −0.0887736 | − | 0.417647i | ||||
\(624\) | −17046.9 | + | 30269.6i | −1.09362 | + | 1.94191i | ||||
\(625\) | −7132.07 | − | 13902.3i | −0.456453 | − | 0.889748i | ||||
\(626\) | 3860.40 | − | 6686.40i | 0.246474 | − | 0.426905i | ||||
\(627\) | −3028.77 | − | 948.392i | −0.192914 | − | 0.0604069i | ||||
\(628\) | −3348.92 | − | 351.985i | −0.212797 | − | 0.0223658i | ||||
\(629\) | −4085.94 | − | 2968.61i | −0.259009 | − | 0.188181i | ||||
\(630\) | −5651.33 | + | 3331.02i | −0.357388 | + | 0.210652i | ||||
\(631\) | 20244.1 | − | 14708.2i | 1.27718 | − | 0.927929i | 0.277720 | − | 0.960662i | \(-0.410421\pi\) |
0.999464 | + | 0.0327334i | \(0.0104212\pi\) | |||||||
\(632\) | 43.6717 | − | 25.2139i | 0.00274868 | − | 0.00158695i | ||||
\(633\) | −2416.33 | + | 5587.33i | −0.151723 | + | 0.350832i | ||||
\(634\) | 29756.8 | + | 6325.01i | 1.86403 | + | 0.396211i | ||||
\(635\) | −12941.8 | + | 2583.59i | −0.808788 | + | 0.161459i | ||||
\(636\) | 7417.85 | − | 1659.88i | 0.462479 | − | 0.103488i | ||||
\(637\) | 20962.2 | + | 18874.4i | 1.30385 | + | 1.17399i | ||||
\(638\) | 466.570 | − | 151.598i | 0.0289525 | − | 0.00940723i | ||||
\(639\) | −7941.66 | + | 1866.56i | −0.491654 | + | 0.115556i | ||||
\(640\) | 7236.77 | − | 3115.09i | 0.446967 | − | 0.192398i | ||||
\(641\) | 8051.18 | − | 8941.74i | 0.496104 | − | 0.550979i | −0.442144 | − | 0.896944i | \(-0.645782\pi\) |
0.938247 | + | 0.345965i | \(0.112449\pi\) | |||||||
\(642\) | 17213.6 | + | 23167.0i | 1.05821 | + | 1.42419i | ||||
\(643\) | −5261.30 | − | 3037.61i | −0.322683 | − | 0.186301i | 0.329905 | − | 0.944014i | \(-0.392983\pi\) |
−0.652588 | + | 0.757713i | \(0.726317\pi\) | |||||||
\(644\) | −347.877 | − | 3309.83i | −0.0212861 | − | 0.202524i | ||||
\(645\) | 13075.8 | + | 1396.75i | 0.798231 | + | 0.0852666i | ||||
\(646\) | 2854.59 | − | 27159.6i | 0.173858 | − | 1.65415i | ||||
\(647\) | 774.450 | − | 1065.94i | 0.0470584 | − | 0.0647703i | −0.784839 | − | 0.619699i | \(-0.787255\pi\) |
0.831898 | + | 0.554929i | \(0.187255\pi\) | |||||||
\(648\) | −2914.05 | + | 2858.92i | −0.176659 | + | 0.173316i | ||||
\(649\) | 3556.28 | 0.215094 | ||||||||
\(650\) | −22566.4 | + | 36939.5i | −1.36173 | + | 2.22906i | ||||
\(651\) | −1972.49 | + | 3502.49i | −0.118753 | + | 0.210866i | ||||
\(652\) | −11840.0 | + | 10660.8i | −0.711184 | + | 0.640353i | ||||
\(653\) | −8428.81 | − | 18931.4i | −0.505122 | − | 1.13452i | −0.968647 | − | 0.248439i | \(-0.920082\pi\) |
0.463525 | − | 0.886084i | \(-0.346584\pi\) | |||||||
\(654\) | 17999.3 | + | 12785.2i | 1.07619 | + | 0.764435i | ||||
\(655\) | 18993.8 | + | 26836.3i | 1.13306 | + | 1.60089i | ||||
\(656\) | −9854.16 | + | 7159.47i | −0.586494 | + | 0.426113i | ||||
\(657\) | −16932.3 | + | 10265.2i | −1.00547 | + | 0.609565i | ||||
\(658\) | −2084.90 | − | 2869.62i | −0.123522 | − | 0.170014i | ||||
\(659\) | 5733.05 | − | 6367.19i | 0.338889 | − | 0.376374i | −0.549478 | − | 0.835508i | \(-0.685173\pi\) |
0.888367 | + | 0.459134i | \(0.151840\pi\) | |||||||
\(660\) | 1516.84 | + | 2.57282i | 0.0894591 | + | 0.000151738i | ||||
\(661\) | 19938.0 | + | 22143.4i | 1.17322 | + | 1.30299i | 0.944125 | + | 0.329587i | \(0.106909\pi\) |
0.229093 | + | 0.973404i | \(0.426424\pi\) | |||||||
\(662\) | 5261.44 | − | 24753.1i | 0.308900 | − | 1.45326i | ||||
\(663\) | 16606.9 | + | 14634.2i | 0.972788 | + | 0.857230i | ||||
\(664\) | −1800.30 | + | 382.665i | −0.105219 | + | 0.0223649i | ||||
\(665\) | 897.725 | + | 9696.30i | 0.0523493 | + | 0.565423i | ||||
\(666\) | −10890.0 | − | 2072.18i | −0.633604 | − | 0.120564i | ||||
\(667\) | −1691.35 | − | 2327.94i | −0.0981848 | − | 0.135140i | ||||
\(668\) | 3882.69 | − | 2241.67i | 0.224889 | − | 0.129840i | ||||
\(669\) | 12517.7 | − | 9300.94i | 0.723411 | − | 0.537511i | ||||
\(670\) | −19352.0 | − | 17864.0i | −1.11587 | − | 1.03007i | ||||
\(671\) | 1005.69 | − | 447.763i | 0.0578604 | − | 0.0257611i | ||||
\(672\) | −2908.39 | − | 6348.61i | −0.166955 | − | 0.364439i | ||||
\(673\) | 518.315 | + | 2438.48i | 0.0296874 | + | 0.139668i | 0.990495 | − | 0.137547i | \(-0.0439219\pi\) |
−0.960808 | + | 0.277215i | \(0.910589\pi\) | |||||||
\(674\) | 8966.81 | 0.512446 | ||||||||
\(675\) | −12946.4 | + | 11829.5i | −0.738234 | + | 0.674545i | ||||
\(676\) | 39550.2 | 2.25024 | ||||||||
\(677\) | 4742.49 | + | 22311.7i | 0.269230 | + | 1.26663i | 0.880059 | + | 0.474865i | \(0.157503\pi\) |
−0.610829 | + | 0.791763i | \(0.709164\pi\) | |||||||
\(678\) | 1525.33 | + | 3329.58i | 0.0864010 | + | 0.188601i | ||||
\(679\) | −8375.06 | + | 3728.82i | −0.473351 | + | 0.210749i | ||||
\(680\) | −574.734 | − | 2878.98i | −0.0324118 | − | 0.162358i | ||||
\(681\) | 2326.90 | − | 1728.94i | 0.130935 | − | 0.0972880i | ||||
\(682\) | 1790.95 | − | 1034.00i | 0.100556 | − | 0.0580558i | ||||
\(683\) | 16169.6 | + | 22255.6i | 0.905877 | + | 1.24683i | 0.968555 | + | 0.248798i | \(0.0800357\pi\) |
−0.0626787 | + | 0.998034i | \(0.519964\pi\) | |||||||
\(684\) | −8871.66 | − | 25438.2i | −0.495930 | − | 1.42201i | ||||
\(685\) | 24686.9 | + | 5568.13i | 1.37699 | + | 0.310580i | ||||
\(686\) | −13891.0 | + | 2952.62i | −0.773121 | + | 0.164332i | ||||
\(687\) | 8909.82 | + | 7851.41i | 0.494805 | + | 0.436026i | ||||
\(688\) | −3463.52 | + | 16294.6i | −0.191926 | + | 0.902942i | ||||
\(689\) | 13615.7 | + | 15121.7i | 0.752853 | + | 0.836128i | ||||
\(690\) | −6085.14 | − | 18836.8i | −0.335735 | − | 1.03928i | ||||
\(691\) | −9485.46 | + | 10534.7i | −0.522206 | + | 0.579968i | −0.945335 | − | 0.326101i | \(-0.894265\pi\) |
0.423129 | + | 0.906069i | \(0.360932\pi\) | |||||||
\(692\) | −14083.8 | − | 19384.7i | −0.773681 | − | 1.06488i | ||||
\(693\) | 13.1706 | + | 615.214i | 0.000721948 | + | 0.0337230i | ||||
\(694\) | 12920.5 | − | 9387.28i | 0.706707 | − | 0.513453i | ||||
\(695\) | 6114.19 | + | 2070.78i | 0.333704 | + | 0.113020i | ||||
\(696\) | −763.646 | − | 542.430i | −0.0415890 | − | 0.0295413i | ||||
\(697\) | 3156.63 | + | 7089.92i | 0.171544 | + | 0.385294i | ||||
\(698\) | −20728.4 | + | 18664.0i | −1.12404 | + | 1.01209i | ||||
\(699\) | 8188.14 | − | 14539.4i | 0.443067 | − | 0.786741i | ||||
\(700\) | −1786.94 | − | 4297.24i | −0.0964857 | − | 0.232029i | ||||
\(701\) | 3036.70 | 0.163616 | 0.0818079 | − | 0.996648i | \(-0.473931\pi\) | ||||
0.0818079 | + | 0.996648i | \(0.473931\pi\) | |||||||
\(702\) | 46664.3 | + | 13522.2i | 2.50887 | + | 0.727015i | ||||
\(703\) | −9672.28 | + | 13312.8i | −0.518915 | + | 0.714225i | ||||
\(704\) | −129.491 | + | 1232.03i | −0.00693238 | + | 0.0659571i | ||||
\(705\) | −7036.05 | − | 6356.93i | −0.375877 | − | 0.339597i | ||||
\(706\) | −2959.06 | − | 28153.5i | −0.157742 | − | 1.50081i | ||||
\(707\) | 3784.71 | + | 2185.10i | 0.201328 | + | 0.116237i | ||||
\(708\) | 18004.2 | + | 24231.0i | 0.955706 | + | 1.28624i | ||||
\(709\) | −5891.06 | + | 6542.69i | −0.312050 | + | 0.346567i | −0.878685 | − | 0.477402i | \(-0.841578\pi\) |
0.566635 | + | 0.823969i | \(0.308245\pi\) | |||||||
\(710\) | −1187.16 | − | 12822.5i | −0.0627512 | − | 0.677774i | ||||
\(711\) | −166.523 | − | 177.165i | −0.00878352 | − | 0.00934487i | ||||
\(712\) | 6202.75 | − | 2015.40i | 0.326486 | − | 0.106082i | ||||
\(713\) | −9014.25 | − | 8116.46i | −0.473473 | − | 0.426317i | ||||
\(714\) | −5167.11 | + | 1156.24i | −0.270832 | + | 0.0606037i | ||||
\(715\) | 1986.50 | + | 3541.41i | 0.103904 | + | 0.185233i | ||||
\(716\) | −9151.32 | − | 1945.17i | −0.477655 | − | 0.101529i | ||||
\(717\) | 10968.1 | − | 25361.7i | 0.571282 | − | 1.32099i | ||||
\(718\) | 14562.5 | − | 8407.65i | 0.756917 | − | 0.437006i | ||||
\(719\) | −16474.6 | + | 11969.5i | −0.854520 | + | 0.620845i | −0.926389 | − | 0.376569i | \(-0.877104\pi\) |
0.0718682 | + | 0.997414i | \(0.477104\pi\) | |||||||
\(720\) | −13219.5 | − | 17854.6i | −0.684250 | − | 0.924171i | ||||
\(721\) | 5995.80 | + | 4356.20i | 0.309702 | + | 0.225012i | ||||
\(722\) | −62488.1 | − | 6567.77i | −3.22101 | − | 0.338542i | ||||
\(723\) | −9051.31 | − | 2834.22i | −0.465591 | − | 0.145789i | ||||
\(724\) | 13797.1 | − | 23897.3i | 0.708241 | − | 1.22671i | ||||
\(725\) | −3195.76 | − | 2445.18i | −0.163707 | − | 0.125257i | ||||
\(726\) | −12781.4 | + | 22695.6i | −0.653393 | + | 1.16021i | ||||
\(727\) | −5435.99 | − | 25574.3i | −0.277317 | − | 1.30468i | −0.867512 | − | 0.497415i | \(-0.834282\pi\) |
0.590195 | − | 0.807261i | \(-0.299051\pi\) | |||||||
\(728\) | 1704.64 | − | 2346.23i | 0.0867829 | − | 0.119446i | ||||
\(729\) | 16633.5 | + | 10523.7i | 0.845068 | + | 0.534659i | ||||
\(730\) | −12357.7 | − | 28708.6i | −0.626547 | − | 1.45555i | ||||
\(731\) | 9696.56 | + | 4317.19i | 0.490616 | + | 0.218436i | ||||
\(732\) | 8142.35 | + | 4585.51i | 0.411134 | + | 0.231537i | ||||
\(733\) | 15130.8 | − | 1590.31i | 0.762440 | − | 0.0801356i | 0.284676 | − | 0.958624i | \(-0.408114\pi\) |
0.477764 | + | 0.878488i | \(0.341447\pi\) | |||||||
\(734\) | 26893.9 | + | 5716.48i | 1.35242 | + | 0.287465i | ||||
\(735\) | −16491.4 | + | 7308.95i | −0.827611 | + | 0.366795i | ||||
\(736\) | 20611.6 | − | 4381.14i | 1.03228 | − | 0.219417i | ||||
\(737\) | −2349.59 | + | 763.428i | −0.117433 | + | 0.0381564i | ||||
\(738\) | 12900.2 | + | 11124.8i | 0.643444 | + | 0.554889i | ||||
\(739\) | 9507.61 | − | 29261.4i | 0.473266 | − | 1.45656i | −0.375017 | − | 0.927018i | \(-0.622363\pi\) |
0.848283 | − | 0.529544i | \(-0.177637\pi\) | |||||||
\(740\) | 2522.83 | − | 7448.94i | 0.125326 | − | 0.370038i | ||||
\(741\) | 47680.8 | − | 54108.4i | 2.36383 | − | 2.68249i | ||||
\(742\) | −4840.89 | + | 508.798i | −0.239508 | + | 0.0251733i | ||||
\(743\) | 30289.4 | + | 17487.6i | 1.49557 | + | 0.863469i | 0.999987 | − | 0.00509081i | \(-0.00162046\pi\) |
0.495585 | + | 0.868560i | \(0.334954\pi\) | |||||||
\(744\) | −3624.16 | − | 1567.32i | −0.178586 | − | 0.0772323i | ||||
\(745\) | −68.3485 | + | 5512.31i | −0.00336120 | + | 0.271081i | ||||
\(746\) | −34442.7 | − | 25024.1i | −1.69040 | − | 1.22814i | ||||
\(747\) | 3782.13 | + | 8027.84i | 0.185249 | + | 0.393204i | ||||
\(748\) | 1164.40 | + | 378.337i | 0.0569181 | + | 0.0184938i | ||||
\(749\) | −4153.40 | − | 7193.90i | −0.202619 | − | 0.350947i | ||||
\(750\) | −15672.0 | − | 22818.2i | −0.763014 | − | 1.11094i | ||||
\(751\) | −6058.10 | + | 10492.9i | −0.294358 | + | 0.509844i | −0.974835 | − | 0.222926i | \(-0.928439\pi\) |
0.680477 | + | 0.732769i | \(0.261773\pi\) | |||||||
\(752\) | 8926.89 | − | 8037.80i | 0.432886 | − | 0.389772i | ||||
\(753\) | −647.300 | − | 1412.97i | −0.0313266 | − | 0.0683816i | ||||
\(754\) | −1165.25 | + | 11086.6i | −0.0562810 | + | 0.535478i | ||||
\(755\) | −11774.0 | − | 6993.79i | −0.567550 | − | 0.337126i | ||||
\(756\) | −4125.14 | + | 3204.36i | −0.198452 | + | 0.154155i | ||||
\(757\) | 23536.8i | 1.13007i | 0.825068 | + | 0.565033i | \(0.191137\pi\) | ||||
−0.825068 | + | 0.565033i | \(0.808863\pi\) | |||||||
\(758\) | 14331.1 | − | 32188.2i | 0.686715 | − | 1.54239i | ||||
\(759\) | −1820.34 | − | 366.608i | −0.0870541 | − | 0.0175323i | ||||
\(760\) | −9380.26 | + | 1872.59i | −0.447708 | + | 0.0893764i | ||||
\(761\) | −14449.5 | − | 16047.8i | −0.688296 | − | 0.764430i | 0.293171 | − | 0.956060i | \(-0.405289\pi\) |
−0.981467 | + | 0.191630i | \(0.938623\pi\) | |||||||
\(762\) | −22157.7 | + | 7462.56i | −1.05340 | + | 0.354777i | ||||
\(763\) | −4722.14 | − | 4251.83i | −0.224054 | − | 0.201739i | ||||
\(764\) | −4979.60 | + | 15325.6i | −0.235806 | + | 0.725735i | ||||
\(765\) | −12878.9 | + | 5873.60i | −0.608677 | + | 0.277596i | ||||
\(766\) | 8656.44 | + | 26641.8i | 0.408316 | + | 1.25667i | ||||
\(767\) | −32868.8 | + | 73824.4i | −1.54736 | + | 3.47542i | ||||
\(768\) | 23098.6 | − | 13667.7i | 1.08529 | − | 0.642174i | ||||
\(769\) | −3363.22 | − | 31998.9i | −0.157712 | − | 1.50053i | −0.731676 | − | 0.681652i | \(-0.761262\pi\) |
0.573964 | − | 0.818881i | \(-0.305405\pi\) | |||||||
\(770\) | −964.670 | − | 113.500i | −0.0451484 | − | 0.00531202i | ||||
\(771\) | −1716.42 | + | 18202.6i | −0.0801756 | + | 0.850261i | ||||
\(772\) | −12713.7 | − | 1336.26i | −0.592714 | − | 0.0622968i | ||||
\(773\) | 16706.2 | + | 5428.16i | 0.777334 | + | 0.252571i | 0.670701 | − | 0.741728i | \(-0.265993\pi\) |
0.106632 | + | 0.994299i | \(0.465993\pi\) | |||||||
\(774\) | 23292.0 | − | 498.639i | 1.08167 | − | 0.0231566i | ||||
\(775\) | −15320.1 | − | 7281.35i | −0.710085 | − | 0.337489i | ||||
\(776\) | −4502.66 | − | 7798.83i | −0.208294 | − | 0.360775i | ||||
\(777\) | 3044.73 | + | 953.388i | 0.140578 | + | 0.0440188i | ||||
\(778\) | −5662.45 | − | 12718.1i | −0.260937 | − | 0.586073i | ||||
\(779\) | 23100.3 | − | 10284.9i | 1.06246 | − | 0.473036i | ||||
\(780\) | −14072.8 | + | 31464.2i | −0.646007 | + | 1.44436i | ||||
\(781\) | −1103.52 | − | 491.318i | −0.0505595 | − | 0.0225106i | ||||
\(782\) | − | 15977.8i | − | 0.730646i | ||||||
\(783\) | −1703.55 | + | 4182.69i | −0.0777521 | + | 0.190903i | ||||
\(784\) | −7061.36 | − | 21732.6i | −0.321673 | − | 0.990008i | ||||
\(785\) | 5764.13 | + | 71.4709i | 0.262077 | + | 0.00324956i | ||||
\(786\) | 39436.2 | + | 42866.8i | 1.78962 | + | 1.94530i | ||||
\(787\) | −1443.88 | + | 6792.92i | −0.0653987 | + | 0.307677i | −0.998674 | − | 0.0514858i | \(-0.983604\pi\) |
0.933275 | + | 0.359163i | \(0.116938\pi\) | |||||||
\(788\) | 2352.83 | − | 11069.2i | 0.106365 | − | 0.500410i | ||||
\(789\) | −3884.08 | + | 12404.1i | −0.175256 | + | 0.559694i | ||||
\(790\) | 313.267 | − | 221.720i | 0.0141083 | − | 0.00998537i | ||||
\(791\) | −325.722 | − | 1002.47i | −0.0146414 | − | 0.0450616i | ||||
\(792\) | −599.657 | + | 76.0352i | −0.0269039 | + | 0.00341135i | ||||
\(793\) | 25015.5i | 1.12021i | ||||||||
\(794\) | 10615.5 | + | 4726.31i | 0.474470 | + | 0.211247i | ||||
\(795\) | −12382.5 | + | 4000.12i | −0.552407 | + | 0.178453i | ||||
\(796\) | −12999.8 | + | 5787.86i | −0.578849 | + | 0.257720i | ||||
\(797\) | −409.860 | − | 920.560i | −0.0182158 | − | 0.0409133i | 0.904209 | − | 0.427091i | \(-0.140462\pi\) |
−0.922424 | + | 0.386178i | \(0.873795\pi\) | |||||||
\(798\) | 3767.24 | + | 16835.4i | 0.167116 | + | 0.746827i | ||||
\(799\) | −3826.89 | − | 6628.36i | −0.169444 | − | 0.293485i | ||||
\(800\) | 25876.9 | − | 14096.4i | 1.14361 | − | 0.622978i | ||||
\(801\) | −16302.3 | − | 26890.3i | −0.719117 | − | 1.18617i | ||||
\(802\) | −14437.5 | − | 4691.04i | −0.635669 | − | 0.206541i | ||||
\(803\) | −2915.83 | − | 306.466i | −0.128141 | − | 0.0134682i | ||||
\(804\) | −17096.9 | − | 12144.2i | −0.749950 | − | 0.532702i | ||||
\(805\) | 1115.35 | + | 5587.04i | 0.0488334 | + | 0.244618i | ||||
\(806\) | 4912.03 | + | 46734.8i | 0.214664 | + | 2.04239i | ||||
\(807\) | −21016.6 | − | 11835.9i | −0.916754 | − | 0.516286i | ||||
\(808\) | −1746.05 | + | 3921.69i | −0.0760220 | + | 0.170748i | ||||
\(809\) | −231.083 | − | 711.199i | −0.0100426 | − | 0.0309078i | 0.945910 | − | 0.324430i | \(-0.105173\pi\) |
−0.955952 | + | 0.293522i | \(0.905173\pi\) | |||||||
\(810\) | −20077.7 | + | 23710.4i | −0.870935 | + | 1.02852i | ||||
\(811\) | −7661.28 | + | 23579.0i | −0.331719 | + | 1.02092i | 0.636597 | + | 0.771196i | \(0.280341\pi\) |
−0.968316 | + | 0.249729i | \(0.919659\pi\) | |||||||
\(812\) | −890.684 | − | 801.976i | −0.0384937 | − | 0.0346599i | ||||
\(813\) | 2009.10 | − | 9975.91i | 0.0866696 | − | 0.430345i | ||||
\(814\) | −1098.31 | − | 1219.80i | −0.0472922 | − | 0.0525233i | ||||
\(815\) | 18500.1 | − | 20041.1i | 0.795130 | − | 0.861360i | ||||
\(816\) | −5723.35 | − | 16993.6i | −0.245536 | − | 0.729040i | ||||
\(817\) | 14066.2 | − | 31593.2i | 0.602343 | − | 1.35289i | ||||
\(818\) | − | 31958.0i | − | 1.36599i | ||||||
\(819\) | −12892.9 | − | 5412.68i | −0.550078 | − | 0.230933i | ||||
\(820\) | −9080.58 | + | 7974.56i | −0.386716 | + | 0.339614i | ||||
\(821\) | 862.922 | − | 8210.15i | 0.0366823 | − | 0.349009i | −0.960751 | − | 0.277411i | \(-0.910524\pi\) |
0.997434 | − | 0.0715976i | \(-0.0228098\pi\) | |||||||
\(822\) | 44636.8 | + | 4209.04i | 1.89403 | + | 0.178598i | ||||
\(823\) | −3501.81 | + | 3153.04i | −0.148318 | + | 0.133546i | −0.739949 | − | 0.672662i | \(-0.765151\pi\) |
0.591632 | + | 0.806208i | \(0.298484\pi\) | |||||||
\(824\) | −3639.99 | + | 6304.65i | −0.153890 | + | 0.266545i | ||||
\(825\) | −2586.02 | + | 235.002i | −0.109132 | + | 0.00991723i | ||||
\(826\) | −9665.46 | − | 16741.1i | −0.407148 | − | 0.705201i | ||||
\(827\) | −5011.77 | − | 1628.42i | −0.210733 | − | 0.0684714i | 0.201748 | − | 0.979437i | \(-0.435338\pi\) |
−0.412481 | + | 0.910966i | \(0.635338\pi\) | |||||||
\(828\) | −6717.83 | − | 14259.0i | −0.281957 | − | 0.598474i | ||||
\(829\) | −9218.50 | − | 6697.63i | −0.386214 | − | 0.280601i | 0.377688 | − | 0.925933i | \(-0.376719\pi\) |
−0.763902 | + | 0.645332i | \(0.776719\pi\) | |||||||
\(830\) | −13374.7 | + | 4163.10i | −0.559330 | + | 0.174101i | ||||
\(831\) | 33550.1 | − | 24928.5i | 1.40053 | − | 1.04062i | ||||
\(832\) | −24378.8 | − | 14075.1i | −1.01584 | − | 0.586497i | ||||
\(833\) | −14480.0 | + | 1521.91i | −0.602285 | + | 0.0633027i | ||||
\(834\) | 11211.4 | + | 2257.93i | 0.465491 | + | 0.0937477i | ||||
\(835\) | −6264.67 | + | 4433.93i | −0.259638 | + | 0.183763i | ||||
\(836\) | 1232.69 | − | 3793.84i | 0.0509971 | − | 0.156953i | ||||
\(837\) | −3358.41 | + | 18739.6i | −0.138690 | + | 0.773876i | ||||
\(838\) | −40342.3 | + | 13108.0i | −1.66301 | + | 0.540344i | ||||
\(839\) | 29654.7 | − | 6303.30i | 1.22025 | − | 0.259373i | 0.447620 | − | 0.894224i | \(-0.352272\pi\) |
0.772635 | + | 0.634851i | \(0.218939\pi\) | |||||||
\(840\) | 924.572 | + | 1607.70i | 0.0379771 | + | 0.0660367i | ||||
\(841\) | 22842.4 | + | 4855.31i | 0.936587 | + | 0.199078i | ||||
\(842\) | 17728.2 | − | 1863.31i | 0.725600 | − | 0.0762636i | ||||
\(843\) | 169.761 | + | 15861.2i | 0.00693579 | + | 0.648031i | ||||
\(844\) | −6989.74 | − | 3112.03i | −0.285067 | − | 0.126920i | ||||
\(845\) | −67417.5 | + | 6241.80i | −2.74465 | + | 0.254112i | ||||
\(846\) | −13799.2 | − | 9581.30i | −0.560790 | − | 0.389376i | ||||
\(847\) | 4406.42 | − | 6064.91i | 0.178756 | − | 0.246037i | ||||
\(848\) | −3427.28 | − | 16124.1i | −0.138789 | − | 0.652953i | ||||
\(849\) | 6141.71 | + | 10379.6i | 0.248272 | + | 0.419584i | ||||
\(850\) | −6375.49 | − | 21414.5i | −0.257268 | − | 0.864132i | ||||
\(851\) | −4813.81 | + | 8337.76i | −0.193907 | + | 0.335858i | ||||
\(852\) | −2239.09 | − | 10006.3i | −0.0900354 | − | 0.402359i | ||||
\(853\) | −18460.7 | − | 1940.29i | −0.741009 | − | 0.0778832i | −0.273501 | − | 0.961872i | \(-0.588182\pi\) |
−0.467508 | + | 0.883989i | \(0.654848\pi\) | |||||||
\(854\) | −4841.16 | − | 3517.31i | −0.193983 | − | 0.140937i | ||||
\(855\) | 19137.3 | + | 41961.9i | 0.765476 | + | 1.67844i | ||||
\(856\) | 6601.35 | − | 4796.16i | 0.263586 | − | 0.191506i | ||||
\(857\) | −7000.60 | + | 4041.80i | −0.279039 | + | 0.161103i | −0.632988 | − | 0.774162i | \(-0.718172\pi\) |
0.353950 | + | 0.935265i | \(0.384838\pi\) | |||||||
\(858\) | 4290.43 | + | 5774.28i | 0.170714 | + | 0.229756i | ||||
\(859\) | −31549.2 | − | 6705.99i | −1.25314 | − | 0.266362i | −0.466912 | − | 0.884304i | \(-0.654634\pi\) |
−0.786224 | + | 0.617941i | \(0.787967\pi\) | |||||||
\(860\) | −1931.34 | + | 16415.1i | −0.0765794 | + | 0.650871i | ||||
\(861\) | −3319.36 | − | 3608.10i | −0.131386 | − | 0.142815i | ||||
\(862\) | 19822.3 | + | 17848.1i | 0.783238 | + | 0.705231i | ||||
\(863\) | 12030.7 | − | 3909.01i | 0.474542 | − | 0.154188i | −0.0619749 | − | 0.998078i | \(-0.519740\pi\) |
0.536517 | + | 0.843890i | \(0.319740\pi\) | |||||||
\(864\) | −22907.9 | − | 23855.1i | −0.902017 | − | 0.939313i | ||||
\(865\) | 27066.7 | + | 30820.6i | 1.06392 | + | 1.21148i | ||||
\(866\) | 266.872 | − | 296.391i | 0.0104719 | − | 0.0116302i | ||||
\(867\) | 14009.6 | − | 1624.24i | 0.548778 | − | 0.0636239i | ||||
\(868\) | −4375.45 | − | 2526.17i | −0.171097 | − | 0.0987831i | ||||
\(869\) | −3.76317 | − | 35.8042i | −0.000146901 | − | 0.00139767i | ||||
\(870\) | −6167.73 | − | 3574.90i | −0.240351 | − | 0.139311i | ||||
\(871\) | 5868.06 | − | 55830.9i | 0.228280 | − | 2.17194i | ||||
\(872\) | 3668.81 | − | 5049.68i | 0.142479 | − | 0.196105i | ||||
\(873\) | −31637.8 | + | 29737.4i | −1.22655 | + | 1.15287i | ||||
\(874\) | −52058.7 | −2.01477 | ||||||||
\(875\) | 3724.22 | + | 7043.08i | 0.143887 | + | 0.272114i | ||||
\(876\) | −12673.7 | − | 21418.8i | −0.488819 | − | 0.826113i | ||||
\(877\) | 9559.40 | − | 8607.32i | 0.368071 | − | 0.331412i | −0.464253 | − | 0.885703i | \(-0.653677\pi\) |
0.832323 | + | 0.554291i | \(0.187010\pi\) | |||||||
\(878\) | 17865.6 | + | 40126.8i | 0.686714 | + | 1.54238i | ||||
\(879\) | 2828.00 | − | 29990.9i | 0.108517 | − | 1.15082i | ||||
\(880\) | 40.7837 | − | 3289.21i | 0.00156229 | − | 0.125999i | ||||
\(881\) | −8568.60 | + | 6225.46i | −0.327677 | + | 0.238071i | −0.739444 | − | 0.673218i | \(-0.764912\pi\) |
0.411767 | + | 0.911289i | \(0.364912\pi\) | |||||||
\(882\) | −27327.7 | + | 16567.5i | −1.04328 | + | 0.632490i | ||||
\(883\) | −11433.0 | − | 15736.2i | −0.435732 | − | 0.599734i | 0.533525 | − | 0.845785i | \(-0.320867\pi\) |
−0.969257 | + | 0.246050i | \(0.920867\pi\) | |||||||
\(884\) | −18615.8 | + | 20674.9i | −0.708277 | + | 0.786622i | ||||
\(885\) | −34514.2 | − | 38462.9i | −1.31094 | − | 1.46092i | ||||
\(886\) | −4851.81 | − | 5388.48i | −0.183972 | − | 0.204322i | ||||
\(887\) | 7169.02 | − | 33727.6i | 0.271378 | − | 1.27673i | −0.605432 | − | 0.795897i | \(-0.707000\pi\) |
0.876810 | − | 0.480836i | \(-0.159667\pi\) | |||||||
\(888\) | −618.752 | + | 3072.32i | −0.0233828 | + | 0.116104i | ||||
\(889\) | 6582.12 | − | 1399.07i | 0.248321 | − | 0.0527823i | ||||
\(890\) | 45592.3 | − | 19625.4i | 1.71714 | − | 0.739150i | ||||
\(891\) | 1018.41 | + | 2730.70i | 0.0382917 | + | 0.102673i | ||||
\(892\) | 11521.2 | + | 15857.5i | 0.432464 | + | 0.595235i | ||||
\(893\) | −21596.5 | + | 12468.7i | −0.809292 | + | 0.467245i | ||||
\(894\) | 1124.78 | + | 9701.57i | 0.0420784 | + | 0.362941i | ||||
\(895\) | 15906.4 | + | 1871.49i | 0.594069 | + | 0.0698962i | ||||
\(896\) | −3670.02 | + | 1634.00i | −0.136838 | + | 0.0609241i | ||||
\(897\) | 24434.8 | − | 34399.8i | 0.909535 | − | 1.28047i | ||||
\(898\) | 1782.26 | + | 8384.86i | 0.0662302 | + | 0.311589i | ||||
\(899\) | −4368.33 | −0.162060 | ||||||||
\(900\) | −14693.3 | − | 16430.4i | −0.544198 | − | 0.608532i | ||||
\(901\) | −10503.2 | −0.388359 | ||||||||
\(902\) | 524.410 | + | 2467.15i | 0.0193580 | + | 0.0910724i | ||||
\(903\) | −6675.60 | − | 629.478i | −0.246013 | − | 0.0231979i | ||||
\(904\) | 945.881 | − | 421.133i | 0.0348004 | − | 0.0154941i | ||||
\(905\) | −19747.2 | + | 42913.0i | −0.725324 | + | 1.57622i | ||||
\(906\) | −22268.5 | − | 9630.36i | −0.816581 | − | 0.353143i | ||||
\(907\) | −34554.2 | + | 19949.9i | −1.26500 | + | 0.730347i | −0.974037 | − | 0.226387i | \(-0.927309\pi\) |
−0.290962 | + | 0.956735i | \(0.593975\pi\) | |||||||
\(908\) | 2141.66 | + | 2947.74i | 0.0782746 | + | 0.107736i | ||||
\(909\) | 20333.2 | + | 3869.06i | 0.741926 | + | 0.141176i | ||||
\(910\) | 11272.1 | − | 18976.5i | 0.410621 | − | 0.691279i | ||||
\(911\) | 17905.3 | − | 3805.88i | 0.651183 | − | 0.138413i | 0.129536 | − | 0.991575i | \(-0.458651\pi\) |
0.521647 | + | 0.853162i | \(0.325318\pi\) | |||||||
\(912\) | −55368.5 | + | 18647.8i | −2.01034 | + | 0.677071i | ||||
\(913\) | −273.192 | + | 1285.27i | −0.00990290 | + | 0.0465895i | ||||
\(914\) | −20602.3 | − | 22881.1i | −0.745583 | − | 0.828053i | ||||
\(915\) | −14603.2 | − | 6531.45i | −0.527613 | − | 0.235982i | ||||
\(916\) | −9987.62 | + | 11092.4i | −0.360262 | + | 0.400112i | ||||
\(917\) | −9853.78 | − | 13562.6i | −0.354853 | − | 0.488413i | ||||
\(918\) | −21304.1 | + | 13229.5i | −0.765948 | + | 0.475641i | ||||
\(919\) | 9900.40 | − | 7193.06i | 0.355369 | − | 0.258191i | −0.395749 | − | 0.918359i | \(-0.629515\pi\) |
0.751118 | + | 0.660168i | \(0.229515\pi\) | |||||||
\(920\) | −5343.53 | + | 1663.26i | −0.191490 | + | 0.0596045i | ||||
\(921\) | 16626.4 | − | 7616.79i | 0.594852 | − | 0.272510i | ||||
\(922\) | 7979.23 | + | 17921.6i | 0.285013 | + | 0.640150i | ||||
\(923\) | 20398.5 | − | 18366.8i | 0.727436 | − | 0.654986i | ||||
\(924\) | −773.387 | + | 8.27745i | −0.0275352 | + | 0.000294706i | ||||
\(925\) | −3124.84 | + | 13095.6i | −0.111075 | + | 0.465494i | ||||
\(926\) | 39067.0 | 1.38641 | ||||||||
\(927\) | 33607.4 | + | 10129.8i | 1.19073 | + | 0.358905i | ||||
\(928\) | 4460.53 | − | 6139.39i | 0.157784 | − | 0.217172i | ||||
\(929\) | 3196.91 | − | 30416.6i | 0.112903 | − | 1.07420i | −0.780564 | − | 0.625076i | \(-0.785068\pi\) |
0.893468 | − | 0.449128i | \(-0.148265\pi\) | |||||||
\(930\) | −28564.7 | − | 9334.82i | −1.00717 | − | 0.329141i | ||||
\(931\) | 4958.68 | + | 47178.7i | 0.174559 | + | 1.66082i | ||||
\(932\) | 18163.2 | + | 10486.5i | 0.638365 | + | 0.368560i | ||||
\(933\) | 6612.00 | − | 15289.1i | 0.232012 | − | 0.536487i | ||||
\(934\) | 3470.60 | − | 3854.49i | 0.121586 | − | 0.135035i | ||||
\(935\) | −2044.55 | − | 461.150i | −0.0715123 | − | 0.0161296i | ||||
\(936\) | 3963.90 | − | 13151.0i | 0.138423 | − | 0.459245i | ||||
\(937\) | 13858.4 | − | 4502.86i | 0.483174 | − | 0.156993i | −0.0572941 | − | 0.998357i | \(-0.518247\pi\) |
0.540468 | + | 0.841365i | \(0.318247\pi\) | |||||||
\(938\) | 9979.67 | + | 8985.73i | 0.347386 | + | 0.312787i | ||||
\(939\) | −3144.90 | + | 10043.5i | −0.109297 | + | 0.349050i | ||||
\(940\) | 8084.13 | − | 8757.50i | 0.280506 | − | 0.303871i | ||||
\(941\) | 16033.5 | + | 3408.02i | 0.555448 | + | 0.118064i | 0.477079 | − | 0.878860i | \(-0.341695\pi\) |
0.0783689 | + | 0.996924i | \(0.475029\pi\) | |||||||
\(942\) | 10144.8 | − | 1176.16i | 0.350886 | − | 0.0406808i | ||||
\(943\) | 12812.3 | − | 7397.18i | 0.442445 | − | 0.255446i | ||||
\(944\) | 52962.8 | − | 38479.7i | 1.82605 | − | 1.32670i | ||||
\(945\) | 6526.02 | − | 6113.19i | 0.224647 | − | 0.210436i | ||||
\(946\) | 2790.78 | + | 2027.62i | 0.0959156 | + | 0.0696868i | ||||
\(947\) | 30167.0 | + | 3170.68i | 1.03516 | + | 0.108800i | 0.606837 | − | 0.794826i | \(-0.292438\pi\) |
0.428323 | + | 0.903626i | \(0.359105\pi\) | |||||||
\(948\) | 224.903 | − | 206.905i | 0.00770519 | − | 0.00708856i | ||||
\(949\) | 33311.3 | − | 57696.9i | 1.13944 | − | 1.97357i | ||||
\(950\) | −69772.6 | + | 20772.6i | −2.38287 | + | 0.709422i | ||||
\(951\) | −41466.0 | + | 443.804i | −1.41391 | + | 0.0151329i | ||||
\(952\) | 311.232 | + | 1464.23i | 0.0105957 | + | 0.0498487i | ||||
\(953\) | 15144.6 | − | 20844.7i | 0.514776 | − | 0.708528i | −0.469940 | − | 0.882699i | \(-0.655724\pi\) |
0.984716 | + | 0.174170i | \(0.0557244\pi\) | |||||||
\(954\) | −20855.0 | + | 9825.37i | −0.707763 | + | 0.333447i | ||||
\(955\) | 6069.56 | − | 26910.0i | 0.205661 | − | 0.911819i | ||||
\(956\) | 31727.4 | + | 14126.0i | 1.07337 | + | 0.477893i | ||||
\(957\) | −575.518 | + | 340.539i | −0.0194398 | + | 0.0115027i | ||||
\(958\) | 39557.4 | − | 4157.66i | 1.33407 | − | 0.140217i | ||||
\(959\) | −12622.0 | − | 2682.88i | −0.425009 | − | 0.0903385i | ||||
\(960\) | 14581.7 | − | 10556.5i | 0.490233 | − | 0.354906i | ||||
\(961\) | 11128.0 | − | 2365.33i | 0.373536 | − | 0.0793975i | ||||
\(962\) | 35472.8 | − | 11525.8i | 1.18887 | − | 0.386286i | ||||
\(963\) | −29793.9 | − | 25693.5i | −0.996984 | − | 0.859772i | ||||
\(964\) | 3683.84 | − | 11337.7i | 0.123079 | − | 0.378800i | ||||
\(965\) | 21882.7 | + | 271.329i | 0.729978 | + | 0.00905118i | ||||
\(966\) | 3221.62 | + | 9565.57i | 0.107302 | + | 0.318600i | ||||
\(967\) | −9194.95 | + | 966.429i | −0.305781 | + | 0.0321388i | −0.256176 | − | 0.966630i | \(-0.582463\pi\) |
−0.0496044 | + | 0.998769i | \(0.515796\pi\) | |||||||
\(968\) | 6377.33 | + | 3681.95i | 0.211751 | + | 0.122255i | ||||
\(969\) | 4287.14 | + | 36978.0i | 0.142129 | + | 1.22591i | ||||
\(970\) | −39594.4 | − | 55942.7i | −1.31062 | − | 1.85177i | ||||
\(971\) | 15426.7 | + | 11208.1i | 0.509852 | + | 0.370429i | 0.812767 | − | 0.582589i | \(-0.197960\pi\) |
−0.302916 | + | 0.953017i | \(0.597960\pi\) | |||||||
\(972\) | −13450.1 | + | 20763.6i | −0.443839 | + | 0.685179i | ||||
\(973\) | −3130.45 | − | 1017.14i | −0.103142 | − | 0.0335130i | ||||
\(974\) | 10351.0 | + | 17928.5i | 0.340522 | + | 0.589802i | ||||
\(975\) | 19022.8 | − | 55855.0i | 0.624839 | − | 1.83466i | ||||
\(976\) | 10132.6 | − | 17550.2i | 0.332313 | − | 0.575583i | ||||
\(977\) | −11798.4 | + | 10623.3i | −0.386349 | + | 0.347871i | −0.839303 | − | 0.543663i | \(-0.817037\pi\) |
0.452954 | + | 0.891534i | \(0.350370\pi\) | |||||||
\(978\) | 27982.1 | − | 39393.8i | 0.914896 | − | 1.28801i | ||||
\(979\) | 486.701 | − | 4630.65i | 0.0158887 | − | 0.151171i | ||||
\(980\) | −8964.16 | − | 20824.9i | −0.292193 | − | 0.678804i | ||||
\(981\) | −27748.8 | − | 11649.5i | −0.903109 | − | 0.379142i | ||||
\(982\) | 74145.8i | 2.40946i | ||||||||
\(983\) | 13934.0 | − | 31296.4i | 0.452113 | − | 1.01546i | −0.533401 | − | 0.845863i | \(-0.679086\pi\) |
0.985513 | − | 0.169599i | \(-0.0542472\pi\) | |||||||
\(984\) | 3183.98 | − | 3613.19i | 0.103152 | − | 0.117057i | ||||
\(985\) | −2263.71 | + | 19239.9i | −0.0732260 | + | 0.622370i | ||||
\(986\) | −3850.24 | − | 4276.12i | −0.124358 | − | 0.138113i | ||||
\(987\) | 3627.56 | + | 3196.64i | 0.116987 | + | 0.103090i | ||||
\(988\) | 67362.9 | + | 60653.8i | 2.16913 | + | 1.95309i | ||||
\(989\) | 6252.51 | − | 19243.3i | 0.201030 | − | 0.618706i | ||||
\(990\) | −4491.04 | + | 996.957i | −0.144176 | + | 0.0320054i | ||||
\(991\) | 12385.3 | + | 38117.9i | 0.397004 | + | 1.22185i | 0.927390 | + | 0.374096i | \(0.122047\pi\) |
−0.530386 | + | 0.847756i | \(0.677953\pi\) | |||||||
\(992\) | 13011.4 | − | 29224.0i | 0.416442 | − | 0.935345i | ||||
\(993\) | 369.178 | + | 34493.4i | 0.0117981 | + | 1.10233i | ||||
\(994\) | 686.342 | + | 6530.11i | 0.0219009 | + | 0.208373i | ||||
\(995\) | 21246.0 | − | 11917.6i | 0.676928 | − | 0.379713i | ||||
\(996\) | −10140.4 | + | 4645.46i | −0.322601 | + | 0.147788i | ||||
\(997\) | −32997.9 | − | 3468.22i | −1.04820 | − | 0.110170i | −0.435264 | − | 0.900303i | \(-0.643345\pi\) |
−0.612936 | + | 0.790133i | \(0.710012\pi\) | |||||||
\(998\) | 68914.4 | + | 22391.7i | 2.18582 | + | 0.710216i | ||||
\(999\) | 15103.0 | − | 485.084i | 0.478316 | − | 0.0153627i |
(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 | 225.4.u.a.4.18 | ✓ | 704 | |
9.7 | even | 3 | inner | 225.4.u.a.79.18 | yes | 704 | |
25.19 | even | 10 | inner | 225.4.u.a.94.18 | yes | 704 | |
225.169 | even | 30 | inner | 225.4.u.a.169.18 | yes | 704 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.4.u.a.4.18 | ✓ | 704 | 1.1 | even | 1 | trivial | |
225.4.u.a.79.18 | yes | 704 | 9.7 | even | 3 | inner | |
225.4.u.a.94.18 | yes | 704 | 25.19 | even | 10 | inner | |
225.4.u.a.169.18 | yes | 704 | 225.169 | even | 30 | inner |