Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,4,Mod(2,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.89109359028\) |
Analytic rank: | \(0\) |
Dimension: | \(156\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 4.1 | ||
Character | \(\chi\) | \(=\) | 49.4 |
Dual form | 49.4.g.a.37.1 |
$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.51874 | − | 3.08083i | −1.59762 | − | 1.08924i | −0.942755 | − | 0.333487i | \(-0.891775\pi\) |
−0.654861 | − | 0.755749i | \(-0.727273\pi\) | |||||||
\(3\) | 0.164357 | + | 0.152501i | 0.0316305 | + | 0.0293488i | 0.695830 | − | 0.718207i | \(-0.255037\pi\) |
−0.664199 | + | 0.747556i | \(0.731227\pi\) | |||||||
\(4\) | 8.00480 | + | 20.3959i | 1.00060 | + | 2.54949i | ||||
\(5\) | 12.0019 | − | 3.70210i | 1.07348 | − | 0.331126i | 0.292878 | − | 0.956150i | \(-0.405387\pi\) |
0.780605 | + | 0.625024i | \(0.214911\pi\) | |||||||
\(6\) | −0.272857 | − | 1.19547i | −0.0185656 | − | 0.0813411i | ||||
\(7\) | 1.40336 | + | 18.4670i | 0.0757743 | + | 0.997125i | ||||
\(8\) | 16.9288 | − | 74.1698i | 0.748153 | − | 3.27787i | ||||
\(9\) | −2.01396 | − | 26.8744i | −0.0745910 | − | 0.995347i | ||||
\(10\) | −65.6390 | − | 20.2470i | −2.07569 | − | 0.640265i | ||||
\(11\) | −0.844018 | + | 11.2626i | −0.0231346 | + | 0.308710i | 0.973618 | + | 0.228185i | \(0.0732789\pi\) |
−0.996753 | + | 0.0805257i | \(0.974340\pi\) | |||||||
\(12\) | −1.79475 | + | 4.57294i | −0.0431749 | + | 0.110008i | ||||
\(13\) | 63.9190 | − | 30.7818i | 1.36369 | − | 0.656717i | 0.398232 | − | 0.917285i | \(-0.369624\pi\) |
0.965456 | + | 0.260567i | \(0.0839096\pi\) | |||||||
\(14\) | 50.5522 | − | 87.7711i | 0.965046 | − | 1.67556i | ||||
\(15\) | 2.53717 | + | 1.22183i | 0.0436729 | + | 0.0210318i | ||||
\(16\) | −176.509 | + | 163.776i | −2.75795 | + | 2.55900i | ||||
\(17\) | 73.2187 | − | 11.0359i | 1.04460 | − | 0.157448i | 0.395743 | − | 0.918361i | \(-0.370487\pi\) |
0.648853 | + | 0.760914i | \(0.275249\pi\) | |||||||
\(18\) | −73.6947 | + | 127.643i | −0.965000 | + | 1.67143i | ||||
\(19\) | −5.88057 | − | 10.1855i | −0.0710051 | − | 0.122984i | 0.828337 | − | 0.560230i | \(-0.189287\pi\) |
−0.899342 | + | 0.437246i | \(0.855954\pi\) | |||||||
\(20\) | 171.581 | + | 215.155i | 1.91833 | + | 2.40551i | ||||
\(21\) | −2.58558 | + | 3.24919i | −0.0268676 | + | 0.0337634i | ||||
\(22\) | 38.5121 | − | 48.2926i | 0.373219 | − | 0.468001i | ||||
\(23\) | 66.1985 | + | 9.97782i | 0.600145 | + | 0.0904574i | 0.442087 | − | 0.896972i | \(-0.354238\pi\) |
0.158059 | + | 0.987430i | \(0.449476\pi\) | |||||||
\(24\) | 14.0933 | − | 9.60865i | 0.119866 | − | 0.0817232i | ||||
\(25\) | 27.0603 | − | 18.4494i | 0.216483 | − | 0.147595i | ||||
\(26\) | −383.667 | − | 57.8284i | −2.89397 | − | 0.436196i | ||||
\(27\) | 7.54174 | − | 9.45704i | 0.0537558 | − | 0.0674077i | ||||
\(28\) | −365.418 | + | 176.448i | −2.46634 | + | 1.19091i | ||||
\(29\) | −50.8342 | − | 63.7440i | −0.325506 | − | 0.408171i | 0.591972 | − | 0.805959i | \(-0.298350\pi\) |
−0.917478 | + | 0.397787i | \(0.869778\pi\) | |||||||
\(30\) | −7.70054 | − | 13.3377i | −0.0468640 | − | 0.0811708i | ||||
\(31\) | 44.1759 | − | 76.5148i | 0.255943 | − | 0.443305i | −0.709209 | − | 0.704999i | \(-0.750948\pi\) |
0.965151 | + | 0.261693i | \(0.0842809\pi\) | |||||||
\(32\) | 700.342 | − | 105.560i | 3.86888 | − | 0.583140i | ||||
\(33\) | −1.85628 | + | 1.72238i | −0.00979203 | + | 0.00908567i | ||||
\(34\) | −364.856 | − | 175.705i | −1.84036 | − | 0.886272i | ||||
\(35\) | 85.2097 | + | 216.444i | 0.411516 | + | 1.04531i | ||||
\(36\) | 532.006 | − | 256.201i | 2.46299 | − | 1.18611i | ||||
\(37\) | −13.6144 | + | 34.6888i | −0.0604915 | + | 0.154130i | −0.957924 | − | 0.287022i | \(-0.907335\pi\) |
0.897432 | + | 0.441152i | \(0.145430\pi\) | |||||||
\(38\) | −4.80681 | + | 64.1424i | −0.0205202 | + | 0.273823i | ||||
\(39\) | 15.1998 | + | 4.68850i | 0.0624079 | + | 0.0192503i | ||||
\(40\) | −71.4063 | − | 952.850i | −0.282258 | − | 3.76647i | ||||
\(41\) | −63.6555 | + | 278.893i | −0.242471 | + | 1.06234i | 0.696288 | + | 0.717762i | \(0.254834\pi\) |
−0.938759 | + | 0.344574i | \(0.888024\pi\) | |||||||
\(42\) | 21.6938 | − | 6.71653i | 0.0797005 | − | 0.0246758i | ||||
\(43\) | 87.2375 | + | 382.212i | 0.309386 | + | 1.35551i | 0.855502 | + | 0.517799i | \(0.173248\pi\) |
−0.546116 | + | 0.837709i | \(0.683894\pi\) | |||||||
\(44\) | −236.468 | + | 72.9407i | −0.810201 | + | 0.249914i | ||||
\(45\) | −123.663 | − | 315.088i | −0.409657 | − | 1.04379i | ||||
\(46\) | −268.394 | − | 249.033i | −0.860272 | − | 0.798216i | ||||
\(47\) | −1.60383 | − | 1.09347i | −0.00497750 | − | 0.00339360i | 0.560829 | − | 0.827932i | \(-0.310483\pi\) |
−0.565806 | + | 0.824538i | \(0.691435\pi\) | |||||||
\(48\) | −53.9863 | −0.162339 | ||||||||
\(49\) | −339.061 | + | 51.8317i | −0.988517 | + | 0.151113i | ||||
\(50\) | −179.118 | −0.506622 | ||||||||
\(51\) | 13.7170 | + | 9.35207i | 0.0376620 | + | 0.0256775i | ||||
\(52\) | 1139.48 | + | 1057.28i | 3.03880 | + | 2.81959i | ||||
\(53\) | −137.328 | − | 349.907i | −0.355915 | − | 0.906857i | −0.990933 | − | 0.134359i | \(-0.957102\pi\) |
0.635018 | − | 0.772498i | \(-0.280993\pi\) | |||||||
\(54\) | −63.2146 | + | 19.4991i | −0.159304 | + | 0.0491388i | ||||
\(55\) | 31.5655 | + | 138.298i | 0.0773872 | + | 0.339056i | ||||
\(56\) | 1393.45 | + | 208.537i | 3.32514 | + | 0.497624i | ||||
\(57\) | 0.586777 | − | 2.57084i | 0.00136352 | − | 0.00597396i | ||||
\(58\) | 33.3222 | + | 444.654i | 0.0754383 | + | 1.00665i | ||||
\(59\) | −794.747 | − | 245.147i | −1.75368 | − | 0.540940i | −0.759681 | − | 0.650296i | \(-0.774645\pi\) |
−0.994003 | + | 0.109357i | \(0.965121\pi\) | |||||||
\(60\) | −4.61091 | + | 61.5283i | −0.00992110 | + | 0.132388i | ||||
\(61\) | −254.354 | + | 648.083i | −0.533880 | + | 1.36030i | 0.368607 | + | 0.929585i | \(0.379835\pi\) |
−0.902487 | + | 0.430718i | \(0.858260\pi\) | |||||||
\(62\) | −435.348 | + | 209.653i | −0.891762 | + | 0.429450i | ||||
\(63\) | 493.463 | − | 74.9062i | 0.986833 | − | 0.149798i | ||||
\(64\) | −1754.35 | − | 844.850i | −3.42646 | − | 1.65010i | ||||
\(65\) | 653.193 | − | 606.074i | 1.24644 | − | 1.15653i | ||||
\(66\) | 13.6944 | − | 2.06410i | 0.0255403 | − | 0.00384959i | ||||
\(67\) | −54.8328 | + | 94.9732i | −0.0999835 | + | 0.173177i | −0.911678 | − | 0.410906i | \(-0.865212\pi\) |
0.811694 | + | 0.584083i | \(0.198546\pi\) | |||||||
\(68\) | 811.189 | + | 1405.02i | 1.44663 | + | 2.50564i | ||||
\(69\) | 9.35854 | + | 11.7352i | 0.0163281 | + | 0.0204747i | ||||
\(70\) | 281.786 | − | 1240.57i | 0.481140 | − | 2.11824i | ||||
\(71\) | 301.823 | − | 378.475i | 0.504505 | − | 0.632629i | −0.462734 | − | 0.886497i | \(-0.653131\pi\) |
0.967239 | + | 0.253868i | \(0.0817029\pi\) | |||||||
\(72\) | −2027.36 | − | 305.575i | −3.31843 | − | 0.500172i | ||||
\(73\) | 343.798 | − | 234.398i | 0.551213 | − | 0.375811i | −0.255450 | − | 0.966822i | \(-0.582224\pi\) |
0.806663 | + | 0.591012i | \(0.201271\pi\) | |||||||
\(74\) | 168.390 | − | 114.806i | 0.264526 | − | 0.180351i | ||||
\(75\) | 7.26110 | + | 1.09443i | 0.0111792 | + | 0.00168499i | ||||
\(76\) | 160.669 | − | 201.472i | 0.242500 | − | 0.304085i | ||||
\(77\) | −209.172 | + | 0.219038i | −0.309576 | + | 0.000324179i | ||||
\(78\) | −54.2393 | − | 68.0139i | −0.0787358 | − | 0.0987315i | ||||
\(79\) | −3.40309 | − | 5.89432i | −0.00484655 | − | 0.00839446i | 0.863592 | − | 0.504191i | \(-0.168209\pi\) |
−0.868439 | + | 0.495797i | \(0.834876\pi\) | |||||||
\(80\) | −1512.12 | + | 2619.08i | −2.11326 | + | 3.66027i | ||||
\(81\) | −716.834 | + | 108.045i | −0.983311 | + | 0.148210i | ||||
\(82\) | 1146.86 | − | 1064.13i | 1.54451 | − | 1.43310i | ||||
\(83\) | −320.565 | − | 154.376i | −0.423935 | − | 0.204156i | 0.209737 | − | 0.977758i | \(-0.432739\pi\) |
−0.633673 | + | 0.773601i | \(0.718453\pi\) | |||||||
\(84\) | −86.9673 | − | 26.7261i | −0.112963 | − | 0.0347150i | ||||
\(85\) | 837.908 | − | 403.515i | 1.06922 | − | 0.514910i | ||||
\(86\) | 783.326 | − | 1995.88i | 0.982189 | − | 2.50258i | ||||
\(87\) | 1.36608 | − | 18.2290i | 0.00168343 | − | 0.0224638i | ||||
\(88\) | 821.059 | + | 253.263i | 0.994604 | + | 0.306795i | ||||
\(89\) | 20.4228 | + | 272.523i | 0.0243237 | + | 0.324578i | 0.996071 | + | 0.0885551i | \(0.0282249\pi\) |
−0.971748 | + | 0.236023i | \(0.924156\pi\) | |||||||
\(90\) | −411.930 | + | 1804.78i | −0.482458 | + | 2.11379i | ||||
\(91\) | 658.149 | + | 1137.19i | 0.758162 | + | 1.31000i | ||||
\(92\) | 326.399 | + | 1430.05i | 0.369886 | + | 1.62058i | ||||
\(93\) | 18.9292 | − | 5.83888i | 0.0211061 | − | 0.00651036i | ||||
\(94\) | 3.87849 | + | 9.88223i | 0.00425570 | + | 0.0108433i | ||||
\(95\) | −108.286 | − | 100.474i | −0.116946 | − | 0.108510i | ||||
\(96\) | 131.204 | + | 89.4532i | 0.139489 | + | 0.0951019i | ||||
\(97\) | 313.386 | 0.328036 | 0.164018 | − | 0.986457i | \(-0.447555\pi\) | ||||
0.164018 | + | 0.986457i | \(0.447555\pi\) | |||||||
\(98\) | 1691.81 | + | 810.374i | 1.74387 | + | 0.835308i | ||||
\(99\) | 304.376 | 0.308999 | ||||||||
\(100\) | 592.905 | + | 404.236i | 0.592905 | + | 0.404236i | ||||
\(101\) | −599.433 | − | 556.193i | −0.590553 | − | 0.547953i | 0.327276 | − | 0.944929i | \(-0.393869\pi\) |
−0.917829 | + | 0.396976i | \(0.870060\pi\) | |||||||
\(102\) | −33.1713 | − | 84.5192i | −0.0322005 | − | 0.0820456i | ||||
\(103\) | −1621.57 | + | 500.188i | −1.55124 | + | 0.478495i | −0.947787 | − | 0.318903i | \(-0.896686\pi\) |
−0.603454 | + | 0.797398i | \(0.706209\pi\) | |||||||
\(104\) | −1201.01 | − | 5261.95i | −1.13239 | − | 4.96132i | ||||
\(105\) | −19.0031 | + | 48.5686i | −0.0176620 | + | 0.0451410i | ||||
\(106\) | −457.451 | + | 2004.22i | −0.419165 | + | 1.83648i | ||||
\(107\) | −6.27471 | − | 83.7302i | −0.00566915 | − | 0.0756496i | 0.993652 | − | 0.112501i | \(-0.0358862\pi\) |
−0.999321 | + | 0.0368515i | \(0.988267\pi\) | |||||||
\(108\) | 253.255 | + | 78.1188i | 0.225643 | + | 0.0696017i | ||||
\(109\) | 101.052 | − | 1348.44i | 0.0887981 | − | 1.18493i | −0.757724 | − | 0.652575i | \(-0.773689\pi\) |
0.846522 | − | 0.532354i | \(-0.178692\pi\) | |||||||
\(110\) | 283.434 | − | 722.179i | 0.245677 | − | 0.625974i | ||||
\(111\) | −7.52768 | + | 3.62514i | −0.00643690 | + | 0.00309985i | ||||
\(112\) | −3272.16 | − | 3029.75i | −2.76062 | − | 2.55611i | ||||
\(113\) | −1395.35 | − | 671.967i | −1.16163 | − | 0.559410i | −0.249120 | − | 0.968473i | \(-0.580141\pi\) |
−0.912506 | + | 0.409063i | \(0.865856\pi\) | |||||||
\(114\) | −10.5718 | + | 9.80920i | −0.00868544 | + | 0.00805891i | ||||
\(115\) | 831.447 | − | 125.320i | 0.674199 | − | 0.101619i | ||||
\(116\) | 893.200 | − | 1547.07i | 0.714927 | − | 1.23829i | ||||
\(117\) | −955.971 | − | 1655.79i | −0.755380 | − | 1.30836i | ||||
\(118\) | 2836.00 | + | 3556.23i | 2.21250 | + | 2.77439i | ||||
\(119\) | 306.553 | + | 1336.64i | 0.236148 | + | 1.02966i | ||||
\(120\) | 133.574 | − | 167.497i | 0.101613 | − | 0.127419i | ||||
\(121\) | 1190.00 | + | 179.364i | 0.894064 | + | 0.134758i | ||||
\(122\) | 3145.99 | − | 2144.90i | 2.33463 | − | 1.59172i | ||||
\(123\) | −52.9936 | + | 36.1304i | −0.0388477 | + | 0.0264859i | ||||
\(124\) | 1914.21 | + | 288.521i | 1.38630 | + | 0.208951i | ||||
\(125\) | −722.398 | + | 905.858i | −0.516906 | + | 0.648179i | ||||
\(126\) | −2460.60 | − | 1181.79i | −1.73975 | − | 0.835575i | ||||
\(127\) | 937.998 | + | 1176.21i | 0.655385 | + | 0.821827i | 0.992832 | − | 0.119518i | \(-0.0381348\pi\) |
−0.337447 | + | 0.941345i | \(0.609563\pi\) | |||||||
\(128\) | 2491.60 | + | 4315.58i | 1.72054 | + | 2.98006i | ||||
\(129\) | −43.9496 | + | 76.1230i | −0.0299965 | + | 0.0519555i | ||||
\(130\) | −4818.82 | + | 726.320i | −3.25106 | + | 0.490019i | ||||
\(131\) | −1575.43 | + | 1461.79i | −1.05073 | + | 0.974938i | −0.999718 | − | 0.0237595i | \(-0.992436\pi\) |
−0.0510159 | + | 0.998698i | \(0.516246\pi\) | |||||||
\(132\) | −49.9886 | − | 24.0732i | −0.0329617 | − | 0.0158735i | ||||
\(133\) | 179.842 | − | 122.890i | 0.117250 | − | 0.0801200i | ||||
\(134\) | 540.371 | − | 260.229i | 0.348365 | − | 0.167764i | ||||
\(135\) | 55.5043 | − | 141.423i | 0.0353856 | − | 0.0901610i | ||||
\(136\) | 420.969 | − | 5617.44i | 0.265425 | − | 3.54185i | ||||
\(137\) | −430.018 | − | 132.643i | −0.268167 | − | 0.0827186i | 0.157755 | − | 0.987478i | \(-0.449574\pi\) |
−0.425923 | + | 0.904760i | \(0.640050\pi\) | |||||||
\(138\) | −6.13460 | − | 81.8606i | −0.00378414 | − | 0.0504959i | ||||
\(139\) | −10.4123 | + | 45.6191i | −0.00635364 | + | 0.0278371i | −0.978005 | − | 0.208580i | \(-0.933116\pi\) |
0.971652 | + | 0.236417i | \(0.0759731\pi\) | |||||||
\(140\) | −3732.48 | + | 3470.52i | −2.25323 | + | 2.09509i | ||||
\(141\) | −0.0968448 | − | 0.424305i | −5.78426e−5 | − | 0.000253425i | ||||
\(142\) | −2529.88 | + | 780.363i | −1.49509 | + | 0.461174i | ||||
\(143\) | 292.735 | + | 745.877i | 0.171187 | + | 0.436177i | ||||
\(144\) | 4756.86 | + | 4413.72i | 2.75281 | + | 2.55424i | ||||
\(145\) | −846.093 | − | 576.857i | −0.484581 | − | 0.330382i | ||||
\(146\) | −2275.67 | −1.28997 | ||||||||
\(147\) | −63.6314 | − | 43.1882i | −0.0357022 | − | 0.0242320i | ||||
\(148\) | −816.490 | −0.453480 | ||||||||
\(149\) | 1500.61 | + | 1023.10i | 0.825065 | + | 0.562520i | 0.900613 | − | 0.434623i | \(-0.143118\pi\) |
−0.0755479 | + | 0.997142i | \(0.524071\pi\) | |||||||
\(150\) | −29.4392 | − | 27.3156i | −0.0160247 | − | 0.0148687i | ||||
\(151\) | 887.065 | + | 2260.21i | 0.478069 | + | 1.21810i | 0.943012 | + | 0.332758i | \(0.107979\pi\) |
−0.464944 | + | 0.885340i | \(0.653925\pi\) | |||||||
\(152\) | −855.004 | + | 263.734i | −0.456250 | + | 0.140734i | ||||
\(153\) | −444.043 | − | 1945.48i | −0.234632 | − | 1.02799i | ||||
\(154\) | 945.867 | + | 643.432i | 0.494936 | + | 0.336683i | ||||
\(155\) | 246.929 | − | 1081.87i | 0.127960 | − | 0.560630i | ||||
\(156\) | 26.0448 | + | 347.543i | 0.0133670 | + | 0.178370i | ||||
\(157\) | −2365.57 | − | 729.683i | −1.20251 | − | 0.370924i | −0.372158 | − | 0.928170i | \(-0.621382\pi\) |
−0.830348 | + | 0.557246i | \(0.811858\pi\) | |||||||
\(158\) | −2.78170 | + | 37.1192i | −0.00140063 | + | 0.0186902i | ||||
\(159\) | 30.7902 | − | 78.4522i | 0.0153574 | − | 0.0391300i | ||||
\(160\) | 8014.64 | − | 3859.65i | 3.96008 | − | 1.90708i | ||||
\(161\) | −91.3602 | + | 1236.49i | −0.0447217 | + | 0.605274i | ||||
\(162\) | 3572.05 | + | 1720.21i | 1.73239 | + | 0.834275i | ||||
\(163\) | 1149.26 | − | 1066.36i | 0.552254 | − | 0.512416i | −0.353947 | − | 0.935266i | \(-0.615161\pi\) |
0.906200 | + | 0.422849i | \(0.138970\pi\) | |||||||
\(164\) | −6197.83 | + | 934.172i | −2.95103 | + | 0.444796i | ||||
\(165\) | −15.9025 | + | 27.5439i | −0.00750307 | + | 0.0129957i | ||||
\(166\) | 972.946 | + | 1685.19i | 0.454911 | + | 0.787929i | ||||
\(167\) | 322.477 | + | 404.374i | 0.149425 | + | 0.187373i | 0.850911 | − | 0.525311i | \(-0.176051\pi\) |
−0.701485 | + | 0.712684i | \(0.747479\pi\) | |||||||
\(168\) | 197.221 | + | 246.777i | 0.0905710 | + | 0.113329i | ||||
\(169\) | 1768.31 | − | 2217.39i | 0.804876 | − | 1.00928i | ||||
\(170\) | −5029.45 | − | 758.067i | −2.26906 | − | 0.342006i | ||||
\(171\) | −261.884 | + | 178.550i | −0.117116 | + | 0.0798482i | ||||
\(172\) | −7097.25 | + | 4838.82i | −3.14628 | + | 2.14510i | ||||
\(173\) | 1280.78 | + | 193.047i | 0.562866 | + | 0.0848385i | 0.424311 | − | 0.905516i | \(-0.360516\pi\) |
0.138555 | + | 0.990355i | \(0.455754\pi\) | |||||||
\(174\) | −62.3333 | + | 78.1635i | −0.0271579 | + | 0.0340549i | ||||
\(175\) | 378.681 | + | 473.832i | 0.163575 | + | 0.204676i | ||||
\(176\) | −1695.57 | − | 2126.18i | −0.726185 | − | 0.910608i | ||||
\(177\) | −93.2370 | − | 161.491i | −0.0395939 | − | 0.0685786i | ||||
\(178\) | 747.312 | − | 1294.38i | 0.314682 | − | 0.545045i | ||||
\(179\) | 3367.08 | − | 507.506i | 1.40596 | − | 0.211915i | 0.598164 | − | 0.801373i | \(-0.295897\pi\) |
0.807799 | + | 0.589459i | \(0.200659\pi\) | |||||||
\(180\) | 5436.60 | − | 5044.43i | 2.25123 | − | 2.08883i | ||||
\(181\) | 1993.16 | + | 959.855i | 0.818510 | + | 0.394174i | 0.795793 | − | 0.605568i | \(-0.207054\pi\) |
0.0227167 | + | 0.999742i | \(0.492768\pi\) | |||||||
\(182\) | 529.496 | − | 7166.33i | 0.215653 | − | 2.91870i | ||||
\(183\) | −140.638 | + | 67.7276i | −0.0568101 | + | 0.0273583i | ||||
\(184\) | 1860.71 | − | 4741.02i | 0.745508 | − | 1.89952i | ||||
\(185\) | −34.9768 | + | 466.734i | −0.0139003 | + | 0.185486i | ||||
\(186\) | −103.525 | − | 31.9331i | −0.0408107 | − | 0.0125884i | ||||
\(187\) | 62.4959 | + | 833.950i | 0.0244393 | + | 0.326120i | ||||
\(188\) | 9.46402 | − | 41.4646i | 0.00367146 | − | 0.0160857i | ||||
\(189\) | 185.227 | + | 126.002i | 0.0712872 | + | 0.0484935i | ||||
\(190\) | 179.771 | + | 787.627i | 0.0686418 | + | 0.300739i | ||||
\(191\) | −1937.96 | + | 597.782i | −0.734168 | + | 0.226461i | −0.639223 | − | 0.769022i | \(-0.720744\pi\) |
−0.0949451 | + | 0.995483i | \(0.530268\pi\) | |||||||
\(192\) | −159.499 | − | 406.396i | −0.0599522 | − | 0.152756i | ||||
\(193\) | −1109.76 | − | 1029.71i | −0.413897 | − | 0.384041i | 0.445557 | − | 0.895254i | \(-0.353006\pi\) |
−0.859454 | + | 0.511213i | \(0.829196\pi\) | |||||||
\(194\) | −1416.11 | − | 965.486i | −0.524075 | − | 0.357309i | ||||
\(195\) | 199.783 | 0.0733681 | ||||||||
\(196\) | −3771.27 | − | 6500.56i | −1.37437 | − | 2.36901i | ||||
\(197\) | 203.732 | 0.0736817 | 0.0368409 | − | 0.999321i | \(-0.488271\pi\) | ||||
0.0368409 | + | 0.999321i | \(0.488271\pi\) | |||||||
\(198\) | −1375.40 | − | 937.729i | −0.493662 | − | 0.336573i | ||||
\(199\) | −2414.29 | − | 2240.13i | −0.860021 | − | 0.797983i | 0.120844 | − | 0.992671i | \(-0.461440\pi\) |
−0.980865 | + | 0.194689i | \(0.937630\pi\) | |||||||
\(200\) | −910.291 | − | 2319.38i | −0.321837 | − | 0.820026i | ||||
\(201\) | −23.4956 | + | 7.24744i | −0.00824504 | + | 0.00254326i | ||||
\(202\) | 995.150 | + | 4360.04i | 0.346626 | + | 1.51867i | ||||
\(203\) | 1105.82 | − | 1028.21i | 0.382333 | − | 0.355499i | ||||
\(204\) | −80.9424 | + | 354.632i | −0.0277799 | + | 0.121712i | ||||
\(205\) | 268.502 | + | 3582.91i | 0.0914779 | + | 1.22069i | ||||
\(206\) | 8868.44 | + | 2735.55i | 2.99948 | + | 0.925218i | ||||
\(207\) | 134.827 | − | 1799.14i | 0.0452711 | − | 0.604100i | ||||
\(208\) | −6240.93 | + | 15901.6i | −2.08044 | + | 5.30087i | ||||
\(209\) | 119.678 | − | 57.6340i | 0.0396092 | − | 0.0190748i | ||||
\(210\) | 235.501 | − | 160.924i | 0.0773863 | − | 0.0528799i | ||||
\(211\) | −2269.59 | − | 1092.98i | −0.740498 | − | 0.356605i | 0.0253055 | − | 0.999680i | \(-0.491944\pi\) |
−0.765803 | + | 0.643075i | \(0.777658\pi\) | |||||||
\(212\) | 6037.38 | − | 5601.87i | 1.95589 | − | 1.81480i | ||||
\(213\) | 107.324 | − | 16.1765i | 0.0345246 | − | 0.00520375i | ||||
\(214\) | −229.604 | + | 397.687i | −0.0733432 | + | 0.127034i | ||||
\(215\) | 2462.00 | + | 4264.32i | 0.780964 | + | 1.35267i | ||||
\(216\) | −573.754 | − | 719.465i | −0.180736 | − | 0.226636i | ||||
\(217\) | 1475.00 | + | 708.418i | 0.461425 | + | 0.221616i | ||||
\(218\) | −4610.94 | + | 5781.93i | −1.43253 | + | 1.79634i | ||||
\(219\) | 92.2514 | + | 13.9047i | 0.0284647 | + | 0.00429036i | ||||
\(220\) | −2568.03 | + | 1750.85i | −0.786984 | + | 0.536557i | ||||
\(221\) | 4340.36 | − | 2959.21i | 1.32110 | − | 0.900714i | ||||
\(222\) | 45.1841 | + | 6.81040i | 0.0136602 | + | 0.00205894i | ||||
\(223\) | 1400.33 | − | 1755.96i | 0.420507 | − | 0.527299i | −0.525783 | − | 0.850619i | \(-0.676227\pi\) |
0.946290 | + | 0.323320i | \(0.104799\pi\) | |||||||
\(224\) | 2932.20 | + | 12785.1i | 0.874625 | + | 3.81357i | ||||
\(225\) | −550.315 | − | 690.073i | −0.163056 | − | 0.204466i | ||||
\(226\) | 4235.03 | + | 7335.28i | 1.24650 | + | 2.15901i | ||||
\(227\) | 1736.58 | − | 3007.85i | 0.507757 | − | 0.879462i | −0.492202 | − | 0.870481i | \(-0.663808\pi\) |
0.999960 | − | 0.00898079i | \(-0.00285871\pi\) | |||||||
\(228\) | 57.1316 | − | 8.61121i | 0.0165949 | − | 0.00250128i | ||||
\(229\) | 443.444 | − | 411.456i | 0.127963 | − | 0.118733i | −0.613595 | − | 0.789621i | \(-0.710277\pi\) |
0.741559 | + | 0.670888i | \(0.234087\pi\) | |||||||
\(230\) | −4143.18 | − | 1995.25i | −1.18780 | − | 0.572013i | ||||
\(231\) | −34.4122 | − | 31.8628i | −0.00980153 | − | 0.00907541i | ||||
\(232\) | −5588.44 | + | 2691.25i | −1.58146 | + | 0.761592i | ||||
\(233\) | 288.910 | − | 736.129i | 0.0812322 | − | 0.206976i | −0.884487 | − | 0.466564i | \(-0.845492\pi\) |
0.965719 | + | 0.259588i | \(0.0835868\pi\) | |||||||
\(234\) | −781.415 | + | 10427.3i | −0.218302 | + | 2.91304i | ||||
\(235\) | −23.2971 | − | 7.18622i | −0.00646697 | − | 0.00199480i | ||||
\(236\) | −1361.80 | − | 18171.9i | −0.375617 | − | 5.01226i | ||||
\(237\) | 0.339568 | − | 1.48774i | 9.30688e−5 | − | 0.000407761i | ||||
\(238\) | 2732.73 | − | 6984.38i | 0.744271 | − | 1.90223i | ||||
\(239\) | −352.294 | − | 1543.50i | −0.0953473 | − | 0.417744i | 0.904617 | − | 0.426226i | \(-0.140157\pi\) |
−0.999964 | + | 0.00848210i | \(0.997300\pi\) | |||||||
\(240\) | −647.939 | + | 199.863i | −0.174268 | + | 0.0537545i | ||||
\(241\) | 1495.34 | + | 3810.08i | 0.399683 | + | 1.01838i | 0.979106 | + | 0.203349i | \(0.0651826\pi\) |
−0.579423 | + | 0.815027i | \(0.696722\pi\) | |||||||
\(242\) | −4824.71 | − | 4476.68i | −1.28159 | − | 1.18914i | ||||
\(243\) | −404.137 | − | 275.536i | −0.106689 | − | 0.0727392i | ||||
\(244\) | −15254.3 | −4.00228 | ||||||||
\(245\) | −3877.49 | + | 1877.32i | −1.01112 | + | 0.489540i | ||||
\(246\) | 350.776 | 0.0909132 | ||||||||
\(247\) | −689.407 | − | 470.029i | −0.177595 | − | 0.121082i | ||||
\(248\) | −4927.25 | − | 4571.82i | −1.26161 | − | 1.17061i | ||||
\(249\) | −29.1446 | − | 74.2592i | −0.00741753 | − | 0.0188995i | ||||
\(250\) | 6055.12 | − | 1867.76i | 1.53184 | − | 0.472509i | ||||
\(251\) | −464.919 | − | 2036.94i | −0.116914 | − | 0.512234i | −0.999142 | − | 0.0414117i | \(-0.986814\pi\) |
0.882228 | − | 0.470822i | \(-0.156043\pi\) | |||||||
\(252\) | 5477.85 | + | 9465.02i | 1.36933 | + | 2.36603i | ||||
\(253\) | −168.249 | + | 737.148i | −0.0418092 | + | 0.183178i | ||||
\(254\) | −614.865 | − | 8204.81i | −0.151890 | − | 2.02683i | ||||
\(255\) | 199.252 | + | 61.4611i | 0.0489320 | + | 0.0150935i | ||||
\(256\) | 872.544 | − | 11643.3i | 0.213024 | − | 2.84260i | ||||
\(257\) | 725.427 | − | 1848.36i | 0.176074 | − | 0.448628i | −0.815406 | − | 0.578889i | \(-0.803486\pi\) |
0.991480 | + | 0.130261i | \(0.0415816\pi\) | |||||||
\(258\) | 433.118 | − | 208.579i | 0.104515 | − | 0.0503316i | ||||
\(259\) | −659.705 | − | 202.736i | −0.158270 | − | 0.0486385i | ||||
\(260\) | 17590.1 | + | 8470.95i | 4.19574 | + | 2.02056i | ||||
\(261\) | −1610.70 | + | 1494.51i | −0.381992 | + | 0.354437i | ||||
\(262\) | 11622.5 | − | 1751.81i | 2.74061 | − | 0.413080i | ||||
\(263\) | −3035.71 | + | 5258.01i | −0.711749 | + | 1.23279i | 0.252451 | + | 0.967610i | \(0.418763\pi\) |
−0.964200 | + | 0.265176i | \(0.914570\pi\) | |||||||
\(264\) | 96.3237 | + | 166.838i | 0.0224557 | + | 0.0388945i | ||||
\(265\) | −2943.59 | − | 3691.15i | −0.682352 | − | 0.855642i | ||||
\(266\) | −1191.26 | + | 1.24746i | −0.274591 | + | 0.000287543i | ||||
\(267\) | −38.2034 | + | 47.9056i | −0.00875659 | + | 0.0109804i | ||||
\(268\) | −2375.99 | − | 358.123i | −0.541555 | − | 0.0816263i | ||||
\(269\) | −5718.10 | + | 3898.53i | −1.29605 | + | 0.883635i | −0.997494 | − | 0.0707554i | \(-0.977459\pi\) |
−0.298561 | + | 0.954391i | \(0.596507\pi\) | |||||||
\(270\) | −686.508 | + | 468.053i | −0.154739 | + | 0.105499i | ||||
\(271\) | −4142.01 | − | 624.308i | −0.928448 | − | 0.139941i | −0.332627 | − | 0.943058i | \(-0.607935\pi\) |
−0.595821 | + | 0.803117i | \(0.703173\pi\) | |||||||
\(272\) | −11116.3 | + | 13939.4i | −2.47803 | + | 3.10735i | ||||
\(273\) | −65.2519 | + | 287.274i | −0.0144660 | + | 0.0636872i | ||||
\(274\) | 1534.49 | + | 1924.19i | 0.338328 | + | 0.424250i | ||||
\(275\) | 184.950 | + | 320.342i | 0.0405559 | + | 0.0702449i | ||||
\(276\) | −164.438 | + | 284.814i | −0.0358623 | + | 0.0621152i | ||||
\(277\) | 5414.98 | − | 816.177i | 1.17456 | − | 0.177037i | 0.467374 | − | 0.884060i | \(-0.345200\pi\) |
0.707191 | + | 0.707023i | \(0.249962\pi\) | |||||||
\(278\) | 187.595 | − | 174.063i | 0.0404719 | − | 0.0375524i | ||||
\(279\) | −2145.26 | − | 1033.10i | −0.460334 | − | 0.221685i | ||||
\(280\) | 17496.1 | − | 2655.85i | 3.73426 | − | 0.566848i | ||||
\(281\) | −7520.86 | + | 3621.86i | −1.59664 | + | 0.768903i | −0.999449 | − | 0.0331926i | \(-0.989433\pi\) |
−0.597195 | + | 0.802096i | \(0.703718\pi\) | |||||||
\(282\) | −0.869592 | + | 2.21568i | −0.000183629 | + | 0.000467880i | ||||
\(283\) | −77.5167 | + | 1034.39i | −0.0162823 | + | 0.217272i | 0.983128 | + | 0.182921i | \(0.0585554\pi\) |
−0.999410 | + | 0.0343507i | \(0.989064\pi\) | |||||||
\(284\) | 10135.4 | + | 3126.35i | 2.11769 | + | 0.653220i | ||||
\(285\) | −2.47505 | − | 33.0273i | −0.000514419 | − | 0.00686445i | ||||
\(286\) | 975.122 | − | 4272.29i | 0.201609 | − | 0.883307i | ||||
\(287\) | −5239.65 | − | 784.140i | −1.07765 | − | 0.161276i | ||||
\(288\) | −4247.30 | − | 18608.7i | −0.869010 | − | 3.80738i | ||||
\(289\) | 544.456 | − | 167.942i | 0.110819 | − | 0.0341833i | ||||
\(290\) | 2046.08 | + | 5213.33i | 0.414311 | + | 1.05565i | ||||
\(291\) | 51.5070 | + | 47.7915i | 0.0103759 | + | 0.00962745i | ||||
\(292\) | 7532.79 | + | 5135.77i | 1.50967 | + | 1.02927i | ||||
\(293\) | 4425.30 | 0.882352 | 0.441176 | − | 0.897421i | \(-0.354561\pi\) | ||||
0.441176 | + | 0.897421i | \(0.354561\pi\) | |||||||
\(294\) | 154.478 | + | 391.193i | 0.0306441 | + | 0.0776015i | ||||
\(295\) | −10446.0 | −2.06167 | ||||||||
\(296\) | 2342.39 | + | 1597.01i | 0.459961 | + | 0.313596i | ||||
\(297\) | 100.146 | + | 92.9217i | 0.0195658 | + | 0.0181544i | ||||
\(298\) | −3628.88 | − | 9246.23i | −0.705420 | − | 1.79738i | ||||
\(299\) | 4538.48 | − | 1399.93i | 0.877816 | − | 0.270770i | ||||
\(300\) | 35.8017 | + | 156.857i | 0.00689003 | + | 0.0301872i | ||||
\(301\) | −6935.90 | + | 2147.40i | −1.32817 | + | 0.411209i | ||||
\(302\) | 2954.88 | − | 12946.2i | 0.563027 | − | 2.46678i | ||||
\(303\) | −13.7011 | − | 182.828i | −0.00259771 | − | 0.0346640i | ||||
\(304\) | 2706.10 | + | 834.723i | 0.510545 | + | 0.157482i | ||||
\(305\) | −653.464 | + | 8719.87i | −0.122679 | + | 1.63704i | ||||
\(306\) | −3987.17 | + | 10159.1i | −0.744873 | + | 1.89791i | ||||
\(307\) | 8959.71 | − | 4314.77i | 1.66566 | − | 0.802140i | 0.667306 | − | 0.744783i | \(-0.267447\pi\) |
0.998354 | − | 0.0573561i | \(-0.0182670\pi\) | |||||||
\(308\) | −1678.85 | − | 4264.49i | −0.310588 | − | 0.788935i | ||||
\(309\) | −342.795 | − | 165.081i | −0.0631097 | − | 0.0303920i | ||||
\(310\) | −4448.85 | + | 4127.93i | −0.815090 | + | 0.756293i | ||||
\(311\) | −3546.68 | + | 534.576i | −0.646669 | + | 0.0974696i | −0.464184 | − | 0.885739i | \(-0.653652\pi\) |
−0.182485 | + | 0.983209i | \(0.558414\pi\) | |||||||
\(312\) | 605.058 | − | 1047.99i | 0.109791 | − | 0.190163i | ||||
\(313\) | −101.350 | − | 175.543i | −0.0183024 | − | 0.0317006i | 0.856729 | − | 0.515767i | \(-0.172493\pi\) |
−0.875032 | + | 0.484066i | \(0.839159\pi\) | |||||||
\(314\) | 8441.39 | + | 10585.2i | 1.51712 | + | 1.90241i | ||||
\(315\) | 5645.19 | − | 2725.86i | 1.00975 | − | 0.487572i | ||||
\(316\) | 92.9789 | − | 116.592i | 0.0165521 | − | 0.0207557i | ||||
\(317\) | −339.018 | − | 51.0987i | −0.0600666 | − | 0.00905359i | 0.118940 | − | 0.992901i | \(-0.462050\pi\) |
−0.179007 | + | 0.983848i | \(0.557288\pi\) | |||||||
\(318\) | −380.831 | + | 259.646i | −0.0671570 | + | 0.0457868i | ||||
\(319\) | 760.831 | − | 518.725i | 0.133537 | − | 0.0910440i | ||||
\(320\) | −24183.2 | − | 3645.04i | −4.22464 | − | 0.636762i | ||||
\(321\) | 11.7376 | − | 14.7185i | 0.00204091 | − | 0.00255921i | ||||
\(322\) | 4222.25 | − | 5305.92i | 0.730735 | − | 0.918283i | ||||
\(323\) | −542.974 | − | 680.868i | −0.0935352 | − | 0.117289i | ||||
\(324\) | −7941.80 | − | 13755.6i | −1.36176 | − | 2.35864i | ||||
\(325\) | 1161.76 | − | 2012.23i | 0.198286 | − | 0.343442i | ||||
\(326\) | −8478.50 | + | 1277.93i | −1.44043 | + | 0.217110i | ||||
\(327\) | 222.247 | − | 206.215i | 0.0375849 | − | 0.0348737i | ||||
\(328\) | 19607.8 | + | 9442.63i | 3.30080 | + | 1.58958i | ||||
\(329\) | 17.9424 | − | 31.1525i | 0.00300668 | − | 0.00522034i | ||||
\(330\) | 156.717 | − | 75.4710i | 0.0261424 | − | 0.0125895i | ||||
\(331\) | −2086.21 | + | 5315.58i | −0.346431 | + | 0.882691i | 0.646382 | + | 0.763014i | \(0.276281\pi\) |
−0.992813 | + | 0.119677i | \(0.961814\pi\) | |||||||
\(332\) | 582.579 | − | 7773.97i | 0.0963047 | − | 1.28510i | ||||
\(333\) | 959.659 | + | 296.016i | 0.157925 | + | 0.0487134i | ||||
\(334\) | −211.386 | − | 2820.75i | −0.0346304 | − | 0.462110i | ||||
\(335\) | −306.498 | + | 1342.86i | −0.0499874 | + | 0.219009i | ||||
\(336\) | −75.7622 | − | 996.966i | −0.0123011 | − | 0.161872i | ||||
\(337\) | 336.269 | + | 1473.29i | 0.0543553 | + | 0.238146i | 0.994807 | − | 0.101782i | \(-0.0324544\pi\) |
−0.940451 | + | 0.339928i | \(0.889597\pi\) | |||||||
\(338\) | −14822.0 | + | 4571.97i | −2.38523 | + | 0.735746i | ||||
\(339\) | −126.860 | − | 323.235i | −0.0203248 | − | 0.0517867i | ||||
\(340\) | 14937.3 | + | 13859.8i | 2.38262 | + | 2.21075i | ||||
\(341\) | 824.473 | + | 562.116i | 0.130932 | + | 0.0892678i | ||||
\(342\) | 1733.47 | 0.274080 | ||||||||
\(343\) | −1433.00 | − | 6188.71i | −0.225583 | − | 0.974224i | ||||
\(344\) | 29825.4 | 4.67465 | ||||||||
\(345\) | 155.765 | + | 106.199i | 0.0243076 | + | 0.0165726i | ||||
\(346\) | −5192.77 | − | 4818.19i | −0.806835 | − | 0.748634i | ||||
\(347\) | 154.828 | + | 394.494i | 0.0239527 | + | 0.0610304i | 0.942350 | − | 0.334629i | \(-0.108611\pi\) |
−0.918397 | + | 0.395660i | \(0.870516\pi\) | |||||||
\(348\) | 382.732 | − | 118.057i | 0.0589558 | − | 0.0181854i | ||||
\(349\) | −1923.24 | − | 8426.25i | −0.294981 | − | 1.29240i | −0.877499 | − | 0.479579i | \(-0.840789\pi\) |
0.582517 | − | 0.812818i | \(-0.302068\pi\) | |||||||
\(350\) | −251.367 | − | 3307.77i | −0.0383889 | − | 0.505166i | ||||
\(351\) | 190.956 | − | 836.632i | 0.0290384 | − | 0.127225i | ||||
\(352\) | 597.778 | + | 7976.79i | 0.0905161 | + | 1.20785i | ||||
\(353\) | 11640.2 | + | 3590.51i | 1.75508 | + | 0.541370i | 0.994202 | − | 0.107526i | \(-0.0342929\pi\) |
0.760877 | + | 0.648896i | \(0.224769\pi\) | |||||||
\(354\) | −76.2124 | + | 1016.98i | −0.0114425 | + | 0.152689i | ||||
\(355\) | 2221.31 | − | 5659.80i | 0.332098 | − | 0.846171i | ||||
\(356\) | −5394.88 | + | 2598.04i | −0.803169 | + | 0.386786i | ||||
\(357\) | −153.455 | + | 266.436i | −0.0227499 | + | 0.0394994i | ||||
\(358\) | −16778.5 | − | 8080.10i | −2.47701 | − | 1.19287i | ||||
\(359\) | −3552.84 | + | 3296.56i | −0.522317 | + | 0.484639i | −0.896702 | − | 0.442634i | \(-0.854044\pi\) |
0.374385 | + | 0.927273i | \(0.377854\pi\) | |||||||
\(360\) | −25463.5 | + | 3838.00i | −3.72789 | + | 0.561890i | ||||
\(361\) | 3360.34 | − | 5820.28i | 0.489917 | − | 0.848560i | ||||
\(362\) | −6049.42 | − | 10477.9i | −0.878317 | − | 1.52129i | ||||
\(363\) | 168.231 | + | 210.955i | 0.0243247 | + | 0.0305022i | ||||
\(364\) | −17925.8 | + | 22526.6i | −2.58122 | + | 3.24372i | ||||
\(365\) | 3258.47 | − | 4085.99i | 0.467277 | − | 0.585947i | ||||
\(366\) | 844.163 | + | 127.237i | 0.120560 | + | 0.0181716i | ||||
\(367\) | −7916.65 | + | 5397.48i | −1.12601 | + | 0.767701i | −0.975302 | − | 0.220878i | \(-0.929108\pi\) |
−0.150708 | + | 0.988578i | \(0.548155\pi\) | |||||||
\(368\) | −13318.7 | + | 9080.56i | −1.88665 | + | 1.28630i | ||||
\(369\) | 7623.28 | + | 1149.02i | 1.07548 | + | 0.162102i | ||||
\(370\) | 1595.98 | − | 2001.29i | 0.224245 | − | 0.281195i | ||||
\(371\) | 6269.01 | − | 3027.09i | 0.877280 | − | 0.423608i | ||||
\(372\) | 270.613 | + | 339.338i | 0.0377168 | + | 0.0472954i | ||||
\(373\) | 1885.91 | + | 3266.49i | 0.261792 | + | 0.453438i | 0.966718 | − | 0.255843i | \(-0.0823531\pi\) |
−0.704926 | + | 0.709281i | \(0.749020\pi\) | |||||||
\(374\) | 2286.85 | − | 3960.94i | 0.316177 | − | 0.547635i | ||||
\(375\) | −256.875 | + | 38.7177i | −0.0353732 | + | 0.00533166i | ||||
\(376\) | −108.253 | + | 100.445i | −0.0148477 | + | 0.0137767i | ||||
\(377\) | −5211.42 | − | 2509.69i | −0.711941 | − | 0.342853i | ||||
\(378\) | −448.804 | − | 1140.02i | −0.0610687 | − | 0.155123i | ||||
\(379\) | 11776.7 | − | 5671.34i | 1.59611 | − | 0.768646i | 0.596683 | − | 0.802477i | \(-0.296485\pi\) |
0.999428 | + | 0.0338307i | \(0.0107707\pi\) | |||||||
\(380\) | 1182.46 | − | 3012.86i | 0.159629 | − | 0.406728i | ||||
\(381\) | −25.2070 | + | 336.364i | −0.00338948 | + | 0.0452295i | ||||
\(382\) | 10598.8 | + | 3269.30i | 1.41959 | + | 0.437885i | ||||
\(383\) | 410.988 | + | 5484.26i | 0.0548316 | + | 0.731677i | 0.955089 | + | 0.296319i | \(0.0957592\pi\) |
−0.900257 | + | 0.435358i | \(0.856622\pi\) | |||||||
\(384\) | −248.618 | + | 1089.27i | −0.0330396 | + | 0.144756i | ||||
\(385\) | −2509.65 | + | 777.003i | −0.332217 | + | 0.102856i | ||||
\(386\) | 1842.37 | + | 8071.95i | 0.242938 | + | 1.06438i | ||||
\(387\) | 10096.0 | − | 3114.21i | 1.32612 | − | 0.409055i | ||||
\(388\) | 2508.59 | + | 6391.78i | 0.328233 | + | 0.836324i | ||||
\(389\) | 7586.59 | + | 7039.32i | 0.988831 | + | 0.917501i | 0.996594 | − | 0.0824688i | \(-0.0262805\pi\) |
−0.00776264 | + | 0.999970i | \(0.502471\pi\) | |||||||
\(390\) | −902.769 | − | 615.497i | −0.117214 | − | 0.0799152i | ||||
\(391\) | 4957.08 | 0.641152 | ||||||||
\(392\) | −1895.54 | + | 26025.5i | −0.244233 | + | 3.35329i | ||||
\(393\) | −481.856 | −0.0618484 | ||||||||
\(394\) | −920.612 | − | 627.663i | −0.117715 | − | 0.0802568i | ||||
\(395\) | −62.6649 | − | 58.1445i | −0.00798231 | − | 0.00740650i | ||||
\(396\) | 2436.47 | + | 6208.03i | 0.309185 | + | 0.787790i | ||||
\(397\) | −7808.43 | + | 2408.58i | −0.987138 | + | 0.304492i | −0.745961 | − | 0.665989i | \(-0.768010\pi\) |
−0.241177 | + | 0.970481i | \(0.577533\pi\) | |||||||
\(398\) | 4008.08 | + | 17560.6i | 0.504791 | + | 2.21164i | ||||
\(399\) | 48.2992 | + | 7.22821i | 0.00606011 | + | 0.000906925i | ||||
\(400\) | −1754.81 | + | 7688.31i | −0.219351 | + | 0.961039i | ||||
\(401\) | 425.359 | + | 5676.02i | 0.0529711 | + | 0.706850i | 0.958959 | + | 0.283546i | \(0.0915108\pi\) |
−0.905988 | + | 0.423304i | \(0.860870\pi\) | |||||||
\(402\) | 128.499 | + | 39.6366i | 0.0159426 | + | 0.00491765i | ||||
\(403\) | 468.415 | − | 6250.56i | 0.0578993 | − | 0.772612i | ||||
\(404\) | 6545.71 | − | 16678.2i | 0.806092 | − | 2.05389i | ||||
\(405\) | −8203.38 | + | 3950.54i | −1.00649 | + | 0.484701i | ||||
\(406\) | −8164.67 | + | 1239.37i | −0.998043 | + | 0.151500i | ||||
\(407\) | −379.197 | − | 182.611i | −0.0461820 | − | 0.0222401i | ||||
\(408\) | 925.853 | − | 859.066i | 0.112344 | − | 0.104240i | ||||
\(409\) | 8364.33 | − | 1260.72i | 1.01122 | − | 0.152417i | 0.377525 | − | 0.925999i | \(-0.376775\pi\) |
0.633696 | + | 0.773582i | \(0.281537\pi\) | |||||||
\(410\) | 9825.02 | − | 17017.4i | 1.18347 | − | 2.04983i | ||||
\(411\) | −50.4482 | − | 87.3788i | −0.00605456 | − | 0.0104868i | ||||
\(412\) | −23182.1 | − | 29069.5i | −2.77209 | − | 3.47609i | ||||
\(413\) | 3411.82 | − | 15020.6i | 0.406500 | − | 1.78963i | ||||
\(414\) | −6152.08 | + | 7714.46i | −0.730334 | + | 0.915809i | ||||
\(415\) | −4418.91 | − | 666.044i | −0.522689 | − | 0.0787827i | ||||
\(416\) | 41515.8 | − | 28305.0i | 4.89298 | − | 3.33598i | ||||
\(417\) | −8.66827 | + | 5.90993i | −0.00101795 | + | 0.000694030i | ||||
\(418\) | −718.356 | − | 108.275i | −0.0840572 | − | 0.0126696i | ||||
\(419\) | 2885.94 | − | 3618.85i | 0.336485 | − | 0.421939i | −0.584587 | − | 0.811331i | \(-0.698743\pi\) |
0.921072 | + | 0.389392i | \(0.127315\pi\) | |||||||
\(420\) | −1142.72 | + | 1.19662i | −0.132759 | + | 0.000139021i | ||||
\(421\) | 6257.69 | + | 7846.89i | 0.724421 | + | 0.908395i | 0.998579 | − | 0.0532899i | \(-0.0169707\pi\) |
−0.274159 | + | 0.961685i | \(0.588399\pi\) | |||||||
\(422\) | 6888.42 | + | 11931.1i | 0.794604 | + | 1.37629i | ||||
\(423\) | −26.1563 | + | 45.3041i | −0.00300654 | + | 0.00520747i | ||||
\(424\) | −28277.3 | + | 4262.12i | −3.23884 | + | 0.488176i | ||||
\(425\) | 1777.72 | − | 1649.48i | 0.202898 | − | 0.188262i | ||||
\(426\) | −534.808 | − | 257.550i | −0.0608252 | − | 0.0292919i | ||||
\(427\) | −12325.1 | − | 3787.66i | −1.39685 | − | 0.429269i | ||||
\(428\) | 1657.53 | − | 798.223i | 0.187195 | − | 0.0901485i | ||||
\(429\) | −65.6338 | + | 167.232i | −0.00738655 | + | 0.0188206i | ||||
\(430\) | 2012.45 | − | 26854.3i | 0.225696 | − | 3.01170i | ||||
\(431\) | −11351.7 | − | 3501.52i | −1.26865 | − | 0.391328i | −0.413882 | − | 0.910331i | \(-0.635827\pi\) |
−0.854773 | + | 0.519003i | \(0.826304\pi\) | |||||||
\(432\) | 217.655 | + | 2904.40i | 0.0242406 | + | 0.323468i | ||||
\(433\) | −1568.40 | + | 6871.59i | −0.174070 | + | 0.762650i | 0.810225 | + | 0.586119i | \(0.199345\pi\) |
−0.984295 | + | 0.176531i | \(0.943512\pi\) | |||||||
\(434\) | −4482.61 | − | 7745.36i | −0.495788 | − | 0.856657i | ||||
\(435\) | −51.0900 | − | 223.840i | −0.00563122 | − | 0.0246720i | ||||
\(436\) | 28311.6 | − | 8732.97i | 3.10981 | − | 0.959250i | ||||
\(437\) | −287.657 | − | 732.937i | −0.0314885 | − | 0.0802314i | ||||
\(438\) | −374.022 | − | 347.042i | −0.0408024 | − | 0.0378591i | ||||
\(439\) | −1650.15 | − | 1125.05i | −0.179401 | − | 0.122314i | 0.470290 | − | 0.882512i | \(-0.344149\pi\) |
−0.649691 | + | 0.760198i | \(0.725102\pi\) | |||||||
\(440\) | 10791.9 | 1.16928 | ||||||||
\(441\) | 2075.80 | + | 9007.67i | 0.224144 | + | 0.972645i | ||||
\(442\) | −28729.8 | −3.09171 | ||||||||
\(443\) | −6904.35 | − | 4707.31i | −0.740487 | − | 0.504856i | 0.133353 | − | 0.991069i | \(-0.457426\pi\) |
−0.873840 | + | 0.486213i | \(0.838378\pi\) | |||||||
\(444\) | −134.196 | − | 124.515i | −0.0143438 | − | 0.0133091i | ||||
\(445\) | 1254.02 | + | 3195.19i | 0.133587 | + | 0.340375i | ||||
\(446\) | −11737.5 | + | 3620.55i | −1.24616 | + | 0.384390i | ||||
\(447\) | 90.6120 | + | 396.997i | 0.00958792 | + | 0.0420074i | ||||
\(448\) | 13139.9 | − | 33583.2i | 1.38572 | − | 3.54165i | ||||
\(449\) | −2002.70 | + | 8774.39i | −0.210497 | + | 0.922247i | 0.753733 | + | 0.657181i | \(0.228251\pi\) |
−0.964230 | + | 0.265067i | \(0.914606\pi\) | |||||||
\(450\) | 360.736 | + | 4813.68i | 0.0377894 | + | 0.504265i | ||||
\(451\) | −3087.34 | − | 952.319i | −0.322344 | − | 0.0994301i | ||||
\(452\) | 2535.84 | − | 33838.5i | 0.263885 | − | 3.52130i | ||||
\(453\) | −198.888 | + | 506.758i | −0.0206282 | + | 0.0525598i | ||||
\(454\) | −17113.8 | + | 8241.58i | −1.76914 | + | 0.851974i | ||||
\(455\) | 12109.0 | + | 11212.0i | 1.24765 | + | 1.15522i | ||||
\(456\) | −180.745 | − | 87.0423i | −0.0185618 | − | 0.00893888i | ||||
\(457\) | −2281.77 | + | 2117.17i | −0.233559 | + | 0.216711i | −0.788266 | − | 0.615334i | \(-0.789021\pi\) |
0.554707 | + | 0.832046i | \(0.312830\pi\) | |||||||
\(458\) | −3271.43 | + | 493.089i | −0.333764 | + | 0.0503068i | ||||
\(459\) | 447.829 | − | 775.662i | 0.0455400 | − | 0.0788776i | ||||
\(460\) | 9211.59 | + | 15954.9i | 0.933680 | + | 1.61718i | ||||
\(461\) | 5310.03 | + | 6658.56i | 0.536470 | + | 0.672712i | 0.974015 | − | 0.226485i | \(-0.0727233\pi\) |
−0.437545 | + | 0.899197i | \(0.644152\pi\) | |||||||
\(462\) | 57.3358 | + | 249.998i | 0.00577382 | + | 0.0251752i | ||||
\(463\) | 9029.14 | − | 11322.2i | 0.906307 | − | 1.13647i | −0.0838459 | − | 0.996479i | \(-0.526720\pi\) |
0.990152 | − | 0.139994i | \(-0.0447082\pi\) | |||||||
\(464\) | 19412.4 | + | 2925.95i | 1.94224 | + | 0.292745i | ||||
\(465\) | 205.570 | − | 140.155i | 0.0205012 | − | 0.0139775i | ||||
\(466\) | −3573.39 | + | 2436.30i | −0.355224 | + | 0.242187i | ||||
\(467\) | 4255.26 | + | 641.378i | 0.421649 | + | 0.0635533i | 0.356440 | − | 0.934318i | \(-0.383990\pi\) |
0.0652091 | + | 0.997872i | \(0.479229\pi\) | |||||||
\(468\) | 26119.0 | − | 32752.2i | 2.57981 | − | 3.23498i | ||||
\(469\) | −1830.82 | − | 879.317i | −0.180255 | − | 0.0865737i | ||||
\(470\) | 83.1343 | + | 104.247i | 0.00815893 | + | 0.0102310i | ||||
\(471\) | −277.521 | − | 480.680i | −0.0271496 | − | 0.0470245i | ||||
\(472\) | −31636.6 | + | 54796.2i | −3.08515 | + | 5.34364i | ||||
\(473\) | −4378.35 | + | 659.930i | −0.425617 | + | 0.0641514i | ||||
\(474\) | −6.11790 | + | 5.67658i | −0.000592836 | + | 0.000550072i | ||||
\(475\) | −347.046 | − | 167.129i | −0.0335233 | − | 0.0161440i | ||||
\(476\) | −24808.2 | + | 16952.0i | −2.38882 | + | 1.63234i | ||||
\(477\) | −9126.95 | + | 4395.31i | −0.876089 | + | 0.421902i | ||||
\(478\) | −3163.33 | + | 8060.04i | −0.302693 | + | 0.771250i | ||||
\(479\) | −569.650 | + | 7601.45i | −0.0543381 | + | 0.725092i | 0.901796 | + | 0.432162i | \(0.142249\pi\) |
−0.956134 | + | 0.292930i | \(0.905370\pi\) | |||||||
\(480\) | 1905.86 | + | 587.880i | 0.181230 | + | 0.0559019i | ||||
\(481\) | 197.567 | + | 2636.35i | 0.0187282 | + | 0.249911i | ||||
\(482\) | 4981.10 | − | 21823.6i | 0.470712 | − | 2.06232i | ||||
\(483\) | −203.581 | + | 189.293i | −0.0191786 | + | 0.0178326i | ||||
\(484\) | 5867.43 | + | 25706.9i | 0.551036 | + | 2.41425i | ||||
\(485\) | 3761.22 | − | 1160.18i | 0.352141 | − | 0.108621i | ||||
\(486\) | 977.311 | + | 2490.15i | 0.0912176 | + | 0.232419i | ||||
\(487\) | 909.984 | + | 844.342i | 0.0846721 | + | 0.0785642i | 0.721374 | − | 0.692546i | \(-0.243511\pi\) |
−0.636701 | + | 0.771110i | \(0.719702\pi\) | |||||||
\(488\) | 43762.3 | + | 29836.6i | 4.05948 | + | 2.76770i | ||||
\(489\) | 351.510 | 0.0325068 | ||||||||
\(490\) | 23305.1 | + | 3462.77i | 2.14860 | + | 0.319249i | ||||
\(491\) | −1205.27 | −0.110780 | −0.0553902 | − | 0.998465i | \(-0.517640\pi\) | ||||
−0.0553902 | + | 0.998465i | \(0.517640\pi\) | |||||||
\(492\) | −1161.12 | − | 791.636i | −0.106397 | − | 0.0725400i | ||||
\(493\) | −4425.49 | − | 4106.25i | −0.404288 | − | 0.375124i | ||||
\(494\) | 1667.17 | + | 4247.88i | 0.151841 | + | 0.386885i | ||||
\(495\) | 3653.09 | − | 1126.83i | 0.331706 | − | 0.102318i | ||||
\(496\) | 4733.88 | + | 20740.5i | 0.428543 | + | 1.87757i | ||||
\(497\) | 7412.86 | + | 5042.64i | 0.669039 | + | 0.455117i | ||||
\(498\) | −97.0828 | + | 425.348i | −0.00873571 | + | 0.0382737i | ||||
\(499\) | −1547.97 | − | 20656.2i | −0.138871 | − | 1.85311i | −0.438102 | − | 0.898925i | \(-0.644349\pi\) |
0.299231 | − | 0.954181i | \(-0.403270\pi\) | |||||||
\(500\) | −24258.4 | − | 7482.74i | −2.16974 | − | 0.669277i | ||||
\(501\) | −8.66598 | + | 115.639i | −0.000772789 | + | 0.0103122i | ||||
\(502\) | −4174.62 | + | 10636.8i | −0.371160 | + | 0.945700i | ||||
\(503\) | −13239.7 | + | 6375.88i | −1.17361 | + | 0.565182i | −0.916044 | − | 0.401078i | \(-0.868636\pi\) |
−0.257569 | + | 0.966260i | \(0.582921\pi\) | |||||||
\(504\) | 2797.95 | − | 37868.1i | 0.247283 | − | 3.34679i | ||||
\(505\) | −9253.42 | − | 4456.21i | −0.815389 | − | 0.392671i | ||||
\(506\) | 3031.30 | − | 2812.63i | 0.266320 | − | 0.247108i | ||||
\(507\) | 628.789 | − | 94.7746i | 0.0550798 | − | 0.00830195i | ||||
\(508\) | −16481.4 | + | 28546.7i | −1.43946 | + | 2.49322i | ||||
\(509\) | −10695.8 | − | 18525.7i | −0.931402 | − | 1.61324i | −0.780927 | − | 0.624622i | \(-0.785253\pi\) |
−0.150475 | − | 0.988614i | \(-0.548080\pi\) | |||||||
\(510\) | −711.017 | − | 891.588i | −0.0617341 | − | 0.0774121i | ||||
\(511\) | 4811.10 | + | 6019.98i | 0.416498 | + | 0.521151i | ||||
\(512\) | −14957.9 | + | 18756.7i | −1.29112 | + | 1.61901i | ||||
\(513\) | −140.674 | − | 21.2032i | −0.0121070 | − | 0.00182484i | ||||
\(514\) | −8972.48 | + | 6117.34i | −0.769960 | + | 0.524950i | ||||
\(515\) | −17610.2 | + | 12006.4i | −1.50679 | + | 1.02731i | ||||
\(516\) | −1904.41 | − | 287.043i | −0.162474 | − | 0.0244891i | ||||
\(517\) | 13.6690 | − | 17.1404i | 0.00116279 | − | 0.00145810i | ||||
\(518\) | 2356.44 | + | 2948.54i | 0.199877 | + | 0.250100i | ||||
\(519\) | 181.065 | + | 227.048i | 0.0153138 | + | 0.0192029i | ||||
\(520\) | −33894.6 | − | 58707.2i | −2.85842 | − | 4.95093i | ||||
\(521\) | 4607.37 | − | 7980.19i | 0.387433 | − | 0.671053i | −0.604671 | − | 0.796475i | \(-0.706695\pi\) |
0.992103 | + | 0.125423i | \(0.0400287\pi\) | |||||||
\(522\) | 11882.7 | − | 1791.03i | 0.996343 | − | 0.150175i | ||||
\(523\) | −3871.50 | + | 3592.23i | −0.323688 | + | 0.300339i | −0.825232 | − | 0.564793i | \(-0.808956\pi\) |
0.501544 | + | 0.865132i | \(0.332765\pi\) | |||||||
\(524\) | −42425.5 | − | 20431.0i | −3.53696 | − | 1.70331i | ||||
\(525\) | −10.0210 | + | 135.627i | −0.000833052 | + | 0.0112747i | ||||
\(526\) | 29916.6 | − | 14407.1i | 2.47990 | − | 1.19425i | ||||
\(527\) | 2390.09 | − | 6089.84i | 0.197559 | − | 0.503373i | ||||
\(528\) | 45.5654 | − | 608.028i | 0.00375564 | − | 0.0501156i | ||||
\(529\) | −7343.77 | − | 2265.25i | −0.603581 | − | 0.186180i | ||||
\(530\) | 1929.55 | + | 25748.0i | 0.158140 | + | 2.11023i | ||||
\(531\) | −4987.59 | + | 21852.1i | −0.407614 | + | 1.78587i | ||||
\(532\) | 3946.07 | + | 2684.33i | 0.321586 | + | 0.218761i | ||||
\(533\) | 4516.02 | + | 19786.0i | 0.366999 | + | 1.60793i | ||||
\(534\) | 320.220 | − | 98.7748i | 0.0259499 | − | 0.00800450i | ||||
\(535\) | −385.286 | − | 981.693i | −0.0311353 | − | 0.0793314i | ||||
\(536\) | 6115.89 | + | 5674.72i | 0.492847 | + | 0.457296i | ||||
\(537\) | 630.797 | + | 430.070i | 0.0506907 | + | 0.0345603i | ||||
\(538\) | 37849.3 | 3.03309 | ||||||||
\(539\) | −297.588 | − | 3862.47i | −0.0237811 | − | 0.308661i | ||||
\(540\) | 3328.75 | 0.265271 | ||||||||
\(541\) | −4832.46 | − | 3294.72i | −0.384036 | − | 0.261832i | 0.355878 | − | 0.934532i | \(-0.384182\pi\) |
−0.739915 | + | 0.672701i | \(0.765134\pi\) | |||||||
\(542\) | 16793.3 | + | 15581.9i | 1.33087 | + | 1.23487i | ||||
\(543\) | 181.210 | + | 461.717i | 0.0143213 | + | 0.0364902i | ||||
\(544\) | 50113.2 | − | 15457.9i | 3.94960 | − | 1.21829i | ||||
\(545\) | −3779.25 | − | 16558.0i | −0.297037 | − | 1.30140i | ||||
\(546\) | 1179.90 | − | 1097.09i | 0.0924815 | − | 0.0859907i | ||||
\(547\) | 2927.04 | − | 12824.2i | 0.228795 | − | 1.00242i | −0.721828 | − | 0.692072i | \(-0.756698\pi\) |
0.950624 | − | 0.310346i | \(-0.100445\pi\) | |||||||
\(548\) | −736.835 | − | 9832.38i | −0.0574380 | − | 0.766457i | ||||
\(549\) | 17929.1 | + | 5530.39i | 1.39380 | + | 0.429929i | ||||
\(550\) | 151.179 | − | 2017.34i | 0.0117205 | − | 0.156399i | ||||
\(551\) | −350.328 | + | 892.620i | −0.0270861 | + | 0.0690144i | ||||
\(552\) | 1028.83 | − | 495.458i | 0.0793295 | − | 0.0382031i | ||||
\(553\) | 104.075 | − | 71.1167i | 0.00800309 | − | 0.00546870i | ||||
\(554\) | −26983.4 | − | 12994.5i | −2.06934 | − | 0.996541i | ||||
\(555\) | −76.9259 | + | 71.3768i | −0.00588346 | + | 0.00545906i | ||||
\(556\) | −1013.79 | + | 152.804i | −0.0773279 | + | 0.0116553i | ||||
\(557\) | 5269.86 | − | 9127.66i | 0.400881 | − | 0.694347i | −0.592951 | − | 0.805238i | \(-0.702037\pi\) |
0.993833 | + | 0.110892i | \(0.0353706\pi\) | |||||||
\(558\) | 6511.05 | + | 11277.5i | 0.493969 | + | 0.855580i | ||||
\(559\) | 17341.3 | + | 21745.3i | 1.31209 | + | 1.64531i | ||||
\(560\) | −50488.6 | − | 24248.9i | −3.80988 | − | 1.82983i | ||||
\(561\) | −116.906 | + | 146.596i | −0.00879820 | + | 0.0110326i | ||||
\(562\) | 45143.1 | + | 6804.23i | 3.38834 | + | 0.510710i | ||||
\(563\) | −11483.3 | + | 7829.21i | −0.859619 | + | 0.586078i | −0.910910 | − | 0.412606i | \(-0.864619\pi\) |
0.0512912 | + | 0.998684i | \(0.483666\pi\) | |||||||
\(564\) | 7.87885 | − | 5.37171i | 0.000588226 | − | 0.000401046i | ||||
\(565\) | −19234.6 | − | 2899.15i | −1.43222 | − | 0.215873i | ||||
\(566\) | 3537.05 | − | 4435.32i | 0.262673 | − | 0.329382i | ||||
\(567\) | −3001.25 | − | 13086.2i | −0.222294 | − | 0.969254i | ||||
\(568\) | −22961.9 | − | 28793.3i | −1.69623 | − | 2.12701i | ||||
\(569\) | −3337.48 | − | 5780.69i | −0.245896 | − | 0.425904i | 0.716487 | − | 0.697600i | \(-0.245749\pi\) |
−0.962383 | + | 0.271696i | \(0.912415\pi\) | |||||||
\(570\) | −90.5671 | + | 156.867i | −0.00665516 | + | 0.0115271i | ||||
\(571\) | 7494.08 | − | 1129.55i | 0.549243 | − | 0.0827850i | 0.131442 | − | 0.991324i | \(-0.458039\pi\) |
0.417800 | + | 0.908539i | \(0.362801\pi\) | |||||||
\(572\) | −12869.5 | + | 11941.2i | −0.940739 | + | 0.872878i | ||||
\(573\) | −409.679 | − | 197.291i | −0.0298684 | − | 0.0143839i | ||||
\(574\) | 21260.8 | + | 19685.8i | 1.54601 | + | 1.43148i | ||||
\(575\) | 1975.44 | − | 951.321i | 0.143272 | − | 0.0689962i | ||||
\(576\) | −19171.6 | + | 48848.5i | −1.38684 | + | 3.53360i | ||||
\(577\) | 1296.36 | − | 17298.7i | 0.0935322 | − | 1.24810i | −0.731037 | − | 0.682338i | \(-0.760963\pi\) |
0.824569 | − | 0.565762i | \(-0.191418\pi\) | |||||||
\(578\) | −2977.65 | − | 918.485i | −0.214280 | − | 0.0660968i | ||||
\(579\) | −25.3654 | − | 338.478i | −0.00182064 | − | 0.0242948i | ||||
\(580\) | 4992.70 | − | 21874.5i | 0.357432 | − | 1.56601i | ||||
\(581\) | 2401.00 | − | 6136.53i | 0.171446 | − | 0.438186i | ||||
\(582\) | −85.5095 | − | 374.642i | −0.00609018 | − | 0.0266828i | ||||
\(583\) | 4056.78 | − | 1251.35i | 0.288190 | − | 0.0888948i | ||||
\(584\) | −11565.1 | − | 29467.5i | −0.819468 | − | 2.08797i | ||||
\(585\) | −17603.4 | − | 16333.5i | −1.24412 | − | 1.15437i | ||||
\(586\) | −19996.8 | − | 13633.6i | −1.40966 | − | 0.961089i | ||||
\(587\) | −52.8058 | −0.00371300 | −0.00185650 | − | 0.999998i | \(-0.500591\pi\) | ||||
−0.00185650 | + | 0.999998i | \(0.500591\pi\) | |||||||
\(588\) | 371.506 | − | 1643.53i | 0.0260555 | − | 0.115269i | ||||
\(589\) | −1039.12 | −0.0726929 | ||||||||
\(590\) | 47202.9 | + | 32182.4i | 3.29375 | + | 2.24564i | ||||
\(591\) | 33.4847 | + | 31.0693i | 0.00233059 | + | 0.00216247i | ||||
\(592\) | −3278.15 | − | 8352.58i | −0.227586 | − | 0.579880i | ||||
\(593\) | 9964.24 | − | 3073.56i | 0.690021 | − | 0.212843i | 0.0701375 | − | 0.997537i | \(-0.477656\pi\) |
0.619883 | + | 0.784694i | \(0.287180\pi\) | |||||||
\(594\) | −166.257 | − | 728.421i | −0.0114842 | − | 0.0503156i | ||||
\(595\) | 8627.60 | + | 14907.4i | 0.594449 | + | 1.02713i | ||||
\(596\) | −8854.93 | + | 38796.0i | −0.608577 | + | 2.66635i | ||||
\(597\) | −55.1826 | − | 736.361i | −0.00378304 | − | 0.0504811i | ||||
\(598\) | −24821.2 | − | 7656.31i | −1.69735 | − | 0.523562i | ||||
\(599\) | 111.855 | − | 1492.61i | 0.00762987 | − | 0.101813i | −0.992089 | − | 0.125539i | \(-0.959934\pi\) |
0.999719 | + | 0.0237259i | \(0.00755290\pi\) | |||||||
\(600\) | 204.095 | − | 520.026i | 0.0138869 | − | 0.0353833i | ||||
\(601\) | −13914.4 | + | 6700.82i | −0.944393 | + | 0.454796i | −0.841717 | − | 0.539919i | \(-0.818455\pi\) |
−0.102676 | + | 0.994715i | \(0.532740\pi\) | |||||||
\(602\) | 37957.3 | + | 11664.8i | 2.56981 | + | 0.789734i | ||||
\(603\) | 2662.78 | + | 1282.33i | 0.179829 | + | 0.0866009i | ||||
\(604\) | −38998.2 | + | 36185.0i | −2.62717 | + | 2.43766i | ||||
\(605\) | 14946.3 | − | 2252.79i | 1.00438 | − | 0.151387i | ||||
\(606\) | −501.349 | + | 868.363i | −0.0336071 | + | 0.0582093i | ||||
\(607\) | 5014.93 | + | 8686.11i | 0.335337 | + | 0.580821i | 0.983550 | − | 0.180638i | \(-0.0578164\pi\) |
−0.648212 | + | 0.761460i | \(0.724483\pi\) | |||||||
\(608\) | −5193.58 | − | 6512.55i | −0.346427 | − | 0.434406i | ||||
\(609\) | 338.552 | − | 0.354522i | 0.0225268 | − | 2.35894e-5i | ||||
\(610\) | 29817.2 | − | 37389.6i | 1.97912 | − | 2.48174i | ||||
\(611\) | −136.174 | − | 20.5249i | −0.00901639 | − | 0.00135900i | ||||
\(612\) | 36125.4 | − | 24629.9i | 2.38608 | − | 1.62680i | ||||
\(613\) | 8101.55 | − | 5523.55i | 0.533799 | − | 0.363938i | −0.266220 | − | 0.963912i | \(-0.585775\pi\) |
0.800019 | + | 0.599974i | \(0.204823\pi\) | |||||||
\(614\) | −53779.6 | − | 8105.98i | −3.53480 | − | 0.532786i | ||||
\(615\) | −502.266 | + | 629.821i | −0.0329322 | + | 0.0412957i | ||||
\(616\) | −3524.77 | + | 15517.9i | −0.230547 | + | 1.01499i | ||||
\(617\) | 17079.6 | + | 21417.2i | 1.11443 | + | 1.39745i | 0.907994 | + | 0.418984i | \(0.137614\pi\) |
0.206432 | + | 0.978461i | \(0.433815\pi\) | |||||||
\(618\) | 1040.41 | + | 1802.05i | 0.0677210 | + | 0.117296i | ||||
\(619\) | 13516.8 | − | 23411.7i | 0.877681 | − | 1.52019i | 0.0238015 | − | 0.999717i | \(-0.492423\pi\) |
0.853879 | − | 0.520471i | \(-0.174244\pi\) | |||||||
\(620\) | 24042.3 | − | 3623.79i | 1.55736 | − | 0.234734i | ||||
\(621\) | 593.612 | − | 550.792i | 0.0383588 | − | 0.0355918i | ||||
\(622\) | 17673.5 | + | 8511.10i | 1.13930 | + | 0.548656i | ||||
\(623\) | −5004.03 | + | 759.597i | −0.321802 | + | 0.0488485i | ||||
\(624\) | −3450.75 | + | 1661.79i | −0.221379 | + | 0.106611i | ||||
\(625\) | −6812.24 | + | 17357.3i | −0.435984 | + | 1.11087i | ||||
\(626\) | −82.8440 | + | 1105.48i | −0.00528932 | + | 0.0705810i | ||||
\(627\) | 28.4592 | + | 8.77849i | 0.00181268 | + | 0.000559137i | ||||
\(628\) | −4053.41 | − | 54089.0i | −0.257561 | − | 3.43692i | ||||
\(629\) | −614.002 | + | 2690.12i | −0.0389219 | + | 0.170528i | ||||
\(630\) | −33907.0 | − | 5074.36i | −2.14427 | − | 0.320900i | ||||
\(631\) | 4252.08 | + | 18629.6i | 0.268261 | + | 1.17533i | 0.912035 | + | 0.410112i | \(0.134511\pi\) |
−0.643774 | + | 0.765216i | \(0.722632\pi\) | |||||||
\(632\) | −494.790 | + | 152.623i | −0.0311419 | + | 0.00960601i | ||||
\(633\) | −206.343 | − | 525.752i | −0.0129564 | − | 0.0330123i | ||||
\(634\) | 1374.51 | + | 1275.36i | 0.0861019 | + | 0.0798909i | ||||
\(635\) | 15612.2 | + | 10644.2i | 0.975673 | + | 0.665202i | ||||
\(636\) | 1846.57 | 0.115128 | ||||||||
\(637\) | −20077.0 | + | 13749.9i | −1.24879 | + | 0.855247i | ||||
\(638\) | −5036.10 | −0.312509 | ||||||||
\(639\) | −10779.1 | − | 7349.08i | −0.667317 | − | 0.454969i | ||||
\(640\) | 45880.7 | + | 42571.0i | 2.83374 | + | 2.62932i | ||||
\(641\) | −9765.99 | − | 24883.3i | −0.601768 | − | 1.53328i | −0.828888 | − | 0.559414i | \(-0.811026\pi\) |
0.227120 | − | 0.973867i | \(-0.427069\pi\) | |||||||
\(642\) | −98.3845 | + | 30.3476i | −0.00604817 | + | 0.00186561i | ||||
\(643\) | 3080.22 | + | 13495.3i | 0.188915 | + | 0.827689i | 0.977190 | + | 0.212366i | \(0.0681170\pi\) |
−0.788276 | + | 0.615322i | \(0.789026\pi\) | |||||||
\(644\) | −25950.7 | + | 8034.49i | −1.58789 | + | 0.491620i | ||||
\(645\) | −245.664 | + | 1076.33i | −0.0149969 | + | 0.0657059i | ||||
\(646\) | 355.924 | + | 4749.47i | 0.0216775 | + | 0.289266i | ||||
\(647\) | −16494.0 | − | 5087.72i | −1.00223 | − | 0.309148i | −0.250144 | − | 0.968209i | \(-0.580478\pi\) |
−0.752090 | + | 0.659060i | \(0.770954\pi\) | |||||||
\(648\) | −4121.42 | + | 54996.5i | −0.249853 | + | 3.33405i | ||||
\(649\) | 3431.78 | − | 8744.04i | 0.207564 | − | 0.528865i | ||||
\(650\) | −11449.0 | + | 5513.57i | −0.690875 | + | 0.332708i | ||||
\(651\) | 134.391 | + | 341.371i | 0.00809094 | + | 0.0205521i | ||||
\(652\) | 30949.0 | + | 14904.3i | 1.85898 | + | 0.895240i | ||||
\(653\) | 16301.2 | − | 15125.3i | 0.976901 | − | 0.906432i | −0.0187283 | − | 0.999825i | \(-0.505962\pi\) |
0.995629 | + | 0.0933929i | \(0.0297713\pi\) | |||||||
\(654\) | −1639.59 | + | 247.128i | −0.0980320 | + | 0.0147760i | ||||
\(655\) | −13496.5 | + | 23376.6i | −0.805118 | + | 1.39450i | ||||
\(656\) | −34440.2 | − | 59652.3i | −2.04980 | − | 3.55035i | ||||
\(657\) | −6991.69 | − | 8767.30i | −0.415178 | − | 0.520616i | ||||
\(658\) | −177.052 | + | 85.4925i | −0.0104897 | + | 0.00506511i | ||||
\(659\) | 9166.17 | − | 11494.0i | 0.541826 | − | 0.679428i | −0.433256 | − | 0.901271i | \(-0.642636\pi\) |
0.975083 | + | 0.221842i | \(0.0712070\pi\) | |||||||
\(660\) | −689.080 | − | 103.862i | −0.0406400 | − | 0.00612549i | ||||
\(661\) | −3446.78 | + | 2349.98i | −0.202820 | + | 0.138281i | −0.660471 | − | 0.750851i | \(-0.729643\pi\) |
0.457651 | + | 0.889132i | \(0.348691\pi\) | |||||||
\(662\) | 25803.4 | − | 17592.5i | 1.51492 | − | 1.03286i | ||||
\(663\) | 1164.65 | + | 175.542i | 0.0682220 | + | 0.0102828i | ||||
\(664\) | −16876.8 | + | 21162.9i | −0.986367 | + | 1.23687i | ||||
\(665\) | 1703.50 | − | 2140.71i | 0.0993366 | − | 0.124832i | ||||
\(666\) | −3424.48 | − | 4294.16i | −0.199243 | − | 0.249843i | ||||
\(667\) | −2729.12 | − | 4726.97i | −0.158429 | − | 0.274407i | ||||
\(668\) | −5666.20 | + | 9814.14i | −0.328191 | + | 0.568444i | ||||
\(669\) | 497.939 | − | 75.0522i | 0.0287764 | − | 0.00433735i | ||||
\(670\) | 5522.09 | − | 5123.75i | 0.318413 | − | 0.295444i | ||||
\(671\) | −7084.44 | − | 3411.69i | −0.407588 | − | 0.196284i | ||||
\(672\) | −1467.81 | + | 2548.48i | −0.0842588 | + | 0.146294i | ||||
\(673\) | 20967.1 | − | 10097.2i | 1.20092 | − | 0.578334i | 0.276984 | − | 0.960875i | \(-0.410665\pi\) |
0.923938 | + | 0.382541i | \(0.124951\pi\) | |||||||
\(674\) | 3019.44 | − | 7693.40i | 0.172558 | − | 0.439672i | ||||
\(675\) | 29.6050 | − | 395.051i | 0.00168814 | − | 0.0225267i | ||||
\(676\) | 59380.8 | + | 18316.5i | 3.37852 | + | 1.04213i | ||||
\(677\) | −74.3673 | − | 992.362i | −0.00422181 | − | 0.0563361i | 0.994695 | − | 0.102868i | \(-0.0328020\pi\) |
−0.998917 | + | 0.0465322i | \(0.985183\pi\) | |||||||
\(678\) | −422.581 | + | 1851.45i | −0.0239368 | + | 0.104874i | ||||
\(679\) | 439.793 | + | 5787.30i | 0.0248567 | + | 0.327093i | ||||
\(680\) | −15743.9 | − | 68978.4i | −0.887868 | − | 3.89000i | ||||
\(681\) | 744.118 | − | 229.530i | 0.0418717 | − | 0.0129157i | ||||
\(682\) | −1993.80 | − | 5080.12i | −0.111945 | − | 0.285231i | ||||
\(683\) | −8042.67 | − | 7462.51i | −0.450577 | − | 0.418075i | 0.421966 | − | 0.906612i | \(-0.361340\pi\) |
−0.872543 | + | 0.488537i | \(0.837531\pi\) | |||||||
\(684\) | −5738.02 | − | 3912.11i | −0.320758 | − | 0.218689i | ||||
\(685\) | −5652.09 | −0.315263 | ||||||||
\(686\) | −12591.0 | + | 32380.0i | −0.700766 | + | 1.80215i | ||||
\(687\) | 135.630 | 0.00753220 | ||||||||
\(688\) | −77995.4 | − | 53176.4i | −4.32202 | − | 2.94670i | ||||
\(689\) | −19548.6 | − | 18138.5i | −1.08091 | − | 1.00293i | ||||
\(690\) | −376.683 | − | 959.772i | −0.0207827 | − | 0.0529535i | ||||
\(691\) | 2188.50 | − | 675.062i | 0.120484 | − | 0.0371643i | −0.233927 | − | 0.972254i | \(-0.575158\pi\) |
0.354411 | + | 0.935090i | \(0.384681\pi\) | |||||||
\(692\) | 6315.03 | + | 27668.0i | 0.346910 | + | 1.51991i | ||||
\(693\) | 427.149 | + | 5620.92i | 0.0234142 | + | 0.308111i | ||||
\(694\) | 515.742 | − | 2259.61i | 0.0282094 | − | 0.123593i | ||||
\(695\) | 43.9194 | + | 586.063i | 0.00239706 | + | 0.0319865i | ||||
\(696\) | −1328.92 | − | 409.916i | −0.0723741 | − | 0.0223245i | ||||
\(697\) | −1582.93 | + | 21122.7i | −0.0860224 | + | 1.14789i | ||||
\(698\) | −17269.2 | + | 44001.2i | −0.936459 | + | 2.38606i | ||||
\(699\) | 159.745 | − | 76.9289i | 0.00864391 | − | 0.00416269i | ||||
\(700\) | −6632.97 | + | 11516.5i | −0.358147 | + | 0.621831i | ||||
\(701\) | −5862.28 | − | 2823.13i | −0.315857 | − | 0.152108i | 0.269238 | − | 0.963074i | \(-0.413228\pi\) |
−0.585094 | + | 0.810965i | \(0.698943\pi\) | |||||||
\(702\) | −3440.40 | + | 3192.22i | −0.184971 | + | 0.171628i | ||||
\(703\) | 433.382 | − | 65.3218i | 0.0232508 | − | 0.00350449i | ||||
\(704\) | 10995.9 | − | 19045.5i | 0.588672 | − | 1.01961i | ||||
\(705\) | −2.73314 | − | 4.73393i | −0.000146008 | − | 0.000252894i | ||||
\(706\) | −41537.1 | − | 52085.9i | −2.21426 | − | 2.77660i | ||||
\(707\) | 9429.99 | − | 11850.3i | 0.501629 | − | 0.630375i | ||||
\(708\) | 2547.41 | − | 3194.36i | 0.135223 | − | 0.169564i | ||||
\(709\) | 15413.0 | + | 2323.13i | 0.816425 | + | 0.123056i | 0.543962 | − | 0.839110i | \(-0.316924\pi\) |
0.272463 | + | 0.962166i | \(0.412162\pi\) | |||||||
\(710\) | −27474.3 | + | 18731.7i | −1.45224 | + | 0.990124i | ||||
\(711\) | −151.552 | + | 103.327i | −0.00799390 | + | 0.00545015i | ||||
\(712\) | 20558.7 | + | 3098.73i | 1.08212 | + | 0.163104i | ||||
\(713\) | 3687.83 | − | 4624.39i | 0.193703 | − | 0.242896i | ||||
\(714\) | 1514.27 | − | 731.186i | 0.0793697 | − | 0.0383249i | ||||
\(715\) | 6274.68 | + | 7868.21i | 0.328196 | + | 0.411544i | ||||
\(716\) | 37303.9 | + | 64612.2i | 1.94708 | + | 3.37244i | ||||
\(717\) | 177.483 | − | 307.410i | 0.00924439 | − | 0.0160118i | ||||
\(718\) | 26210.5 | − | 3950.59i | 1.36235 | − | 0.205341i | ||||
\(719\) | −17159.3 | + | 15921.5i | −0.890033 | + | 0.825830i | −0.985513 | − | 0.169602i | \(-0.945752\pi\) |
0.0954799 | + | 0.995431i | \(0.469561\pi\) | |||||||
\(720\) | 73431.4 | + | 35362.7i | 3.80087 | + | 1.83040i | ||||
\(721\) | −11512.6 | − | 29243.6i | −0.594663 | − | 1.51052i | ||||
\(722\) | −33115.7 | + | 15947.7i | −1.70698 | + | 0.822039i | ||||
\(723\) | −335.269 | + | 854.253i | −0.0172459 | + | 0.0439419i | ||||
\(724\) | −3622.26 | + | 48335.7i | −0.185940 | + | 2.48119i | ||||
\(725\) | −2551.63 | − | 787.073i | −0.130711 | − | 0.0403189i | ||||
\(726\) | −110.277 | − | 1471.54i | −0.00563741 | − | 0.0752260i | ||||
\(727\) | −5767.42 | + | 25268.7i | −0.294225 | + | 1.28909i | 0.584358 | + | 0.811496i | \(0.301346\pi\) |
−0.878583 | + | 0.477589i | \(0.841511\pi\) | |||||||
\(728\) | 95487.1 | − | 29563.4i | 4.86125 | − | 1.50507i | ||||
\(729\) | 4331.03 | + | 18975.5i | 0.220039 | + | 0.964054i | ||||
\(730\) | −27312.4 | + | 8424.76i | −1.38476 | + | 0.427143i | ||||
\(731\) | 10605.5 | + | 27022.4i | 0.536605 | + | 1.36725i | ||||
\(732\) | −2507.15 | − | 2326.29i | −0.126594 | − | 0.117462i | ||||
\(733\) | −13592.6 | − | 9267.27i | −0.684930 | − | 0.466977i | 0.170187 | − | 0.985412i | \(-0.445563\pi\) |
−0.855117 | + | 0.518434i | \(0.826515\pi\) | |||||||
\(734\) | 52402.0 | 2.63514 | ||||||||
\(735\) | −923.584 | − | 282.771i | −0.0463495 | − | 0.0141907i | ||||
\(736\) | 47414.8 | 2.37464 | ||||||||
\(737\) | −1023.37 | − | 697.721i | −0.0511483 | − | 0.0348723i | ||||
\(738\) | −30907.7 | − | 28678.1i | −1.54164 | − | 1.43043i | ||||
\(739\) | 4261.08 | + | 10857.1i | 0.212106 | + | 0.540438i | 0.996844 | − | 0.0793908i | \(-0.0252975\pi\) |
−0.784737 | + | 0.619828i | \(0.787202\pi\) | |||||||
\(740\) | −9799.44 | + | 3022.73i | −0.486803 | + | 0.150159i | ||||
\(741\) | −41.6288 | − | 182.388i | −0.00206379 | − | 0.00904207i | ||||
\(742\) | −37654.0 | − | 5635.10i | −1.86297 | − | 0.278802i | ||||
\(743\) | 3692.90 | − | 16179.6i | 0.182341 | − | 0.798888i | −0.798171 | − | 0.602430i | \(-0.794199\pi\) |
0.980512 | − | 0.196457i | \(-0.0629438\pi\) | |||||||
\(744\) | −112.621 | − | 1502.82i | −0.00554956 | − | 0.0740537i | ||||
\(745\) | 21797.8 | + | 6723.72i | 1.07196 | + | 0.330655i | ||||
\(746\) | 1541.55 | − | 20570.6i | 0.0756571 | − | 1.00957i | ||||
\(747\) | −3503.16 | + | 8925.90i | −0.171585 | + | 0.437191i | ||||
\(748\) | −16508.9 | + | 7950.26i | −0.806985 | + | 0.388624i | ||||
\(749\) | 1537.44 | − | 233.379i | 0.0750025 | − | 0.0113852i | ||||
\(750\) | 1280.03 | + | 616.432i | 0.0623203 | + | 0.0300119i | ||||
\(751\) | 4357.52 | − | 4043.19i | 0.211729 | − | 0.196456i | −0.567178 | − | 0.823595i | \(-0.691965\pi\) |
0.778907 | + | 0.627140i | \(0.215774\pi\) | |||||||
\(752\) | 462.174 | − | 69.6615i | 0.0224119 | − | 0.00337805i | ||||
\(753\) | 234.223 | − | 405.686i | 0.0113354 | − | 0.0196335i | ||||
\(754\) | 15817.2 | + | 27396.1i | 0.763961 | + | 1.32322i | ||||
\(755\) | 19014.0 | + | 23842.8i | 0.916542 | + | 1.14931i | ||||
\(756\) | −1087.21 | + | 4786.49i | −0.0523037 | + | 0.230269i | ||||
\(757\) | −2187.25 | + | 2742.73i | −0.105016 | + | 0.131686i | −0.831562 | − | 0.555432i | \(-0.812553\pi\) |
0.726546 | + | 0.687118i | \(0.241124\pi\) | |||||||
\(758\) | −70688.0 | − | 10654.5i | −3.38721 | − | 0.510540i | ||||
\(759\) | −140.069 | + | 95.4971i | −0.00669850 | + | 0.00456696i | ||||
\(760\) | −9285.30 | + | 6330.61i | −0.443175 | + | 0.302152i | ||||
\(761\) | 16724.2 | + | 2520.77i | 0.796652 | + | 0.120076i | 0.534741 | − | 0.845016i | \(-0.320409\pi\) |
0.261911 | + | 0.965092i | \(0.415647\pi\) | |||||||
\(762\) | 1150.18 | − | 1442.28i | 0.0546807 | − | 0.0685674i | ||||
\(763\) | 25043.5 | − | 26.2248i | 1.18825 | − | 0.00124430i | ||||
\(764\) | −27705.3 | − | 34741.4i | −1.31197 | − | 1.64516i | ||||
\(765\) | −12531.7 | − | 21705.6i | −0.592268 | − | 1.02584i | ||||
\(766\) | 15038.9 | − | 26048.1i | 0.709369 | − | 1.22866i | ||||
\(767\) | −58345.5 | + | 8794.17i | −2.74672 | + | 0.414001i | ||||
\(768\) | 1919.02 | − | 1780.59i | 0.0901649 | − | 0.0836608i | ||||
\(769\) | −5847.03 | − | 2815.78i | −0.274186 | − | 0.132041i | 0.291738 | − | 0.956498i | \(-0.405766\pi\) |
−0.565925 | + | 0.824457i | \(0.691481\pi\) | |||||||
\(770\) | 13734.3 | + | 4220.71i | 0.642790 | + | 0.197537i | ||||
\(771\) | 401.105 | − | 193.162i | 0.0187360 | − | 0.00902277i | ||||
\(772\) | 12118.4 | − | 30877.1i | 0.564961 | − | 1.43950i | ||||
\(773\) | −1394.53 | + | 18608.7i | −0.0648871 | + | 0.865858i | 0.865882 | + | 0.500249i | \(0.166758\pi\) |
−0.930769 | + | 0.365609i | \(0.880861\pi\) | |||||||
\(774\) | −55215.7 | − | 17031.8i | −2.56419 | − | 0.790949i | ||||
\(775\) | −216.241 | − | 2885.54i | −0.0100227 | − | 0.133744i | ||||
\(776\) | 5305.23 | − | 23243.7i | 0.245421 | − | 1.07526i | ||||
\(777\) | −77.5096 | − | 133.926i | −0.00357869 | − | 0.00618351i | ||||
\(778\) | −12594.9 | − | 55181.8i | −0.580397 | − | 2.54288i | ||||
\(779\) | 3214.98 | − | 991.691i | 0.147867 | − | 0.0456111i | ||||
\(780\) | 1599.23 | + | 4074.76i | 0.0734122 | + | 0.187051i | ||||
\(781\) | 4007.88 | + | 3718.77i | 0.183628 | + | 0.170381i | ||||
\(782\) | −22399.8 | − | 15271.9i | −1.02431 | − | 0.698366i | ||||
\(783\) | −986.208 | −0.0450117 | ||||||||
\(784\) | 51358.4 | − | 64678.8i | 2.33958 | − | 2.94638i | ||||
\(785\) | −31092.7 | −1.41369 | ||||||||
\(786\) | 2177.38 | + | 1484.52i | 0.0988101 | + | 0.0673676i | ||||
\(787\) | −18719.5 | − | 17369.2i | −0.847877 | − | 0.786715i | 0.130953 | − | 0.991389i | \(-0.458196\pi\) |
−0.978830 | + | 0.204673i | \(0.934387\pi\) | |||||||
\(788\) | 1630.83 | + | 4155.30i | 0.0737260 | + | 0.187851i | ||||
\(789\) | −1300.79 | + | 401.240i | −0.0586937 | + | 0.0181046i | ||||
\(790\) | 104.033 | + | 455.799i | 0.00468523 | + | 0.0205274i | ||||
\(791\) | 10451.0 | − | 26711.0i | 0.469780 | − | 1.20068i | ||||
\(792\) | 5152.71 | − | 22575.5i | 0.231179 | − | 1.01286i | ||||
\(793\) | 3691.10 | + | 49254.3i | 0.165290 | + | 2.20564i | ||||
\(794\) | 42704.7 | + | 13172.7i | 1.90873 | + | 0.588766i | ||||
\(795\) | 79.1036 | − | 1055.56i | 0.00352895 | − | 0.0470906i | ||||
\(796\) | 26363.6 | − | 67173.3i | 1.17391 | − | 2.99108i | ||||
\(797\) | 8938.42 | − | 4304.51i | 0.397258 | − | 0.191310i | −0.224579 | − | 0.974456i | \(-0.572101\pi\) |
0.621838 | + | 0.783146i | \(0.286386\pi\) | |||||||
\(798\) | −195.983 | − | 181.464i | −0.00869387 | − | 0.00804981i | ||||
\(799\) | −129.498 | − | 62.3628i | −0.00573379 | − | 0.00276125i | ||||
\(800\) | 17004.0 | − | 15777.4i | 0.751476 | − | 0.697268i | ||||
\(801\) | 7282.77 | − | 1097.70i | 0.321253 | − | 0.0484211i | ||||
\(802\) | 15564.7 | − | 26958.9i | 0.685299 | − | 1.18697i | ||||
\(803\) | 2349.76 | + | 4069.91i | 0.103264 | + | 0.178859i | ||||
\(804\) | −335.896 | − | 421.200i | −0.0147340 | − | 0.0184759i | ||||
\(805\) | 3481.11 | + | 15178.5i | 0.152414 | + | 0.664560i | ||||
\(806\) | −21373.5 | + | 26801.6i | −0.934058 | + | 1.17127i | ||||
\(807\) | −1534.34 | − | 231.264i | −0.0669284 | − | 0.0100878i | ||||
\(808\) | −51400.3 | + | 35044.2i | −2.23794 | + | 1.52580i | ||||
\(809\) | 22167.2 | − | 15113.4i | 0.963360 | − | 0.656808i | 0.0239898 | − | 0.999712i | \(-0.492363\pi\) |
0.939370 | + | 0.342904i | \(0.111411\pi\) | |||||||
\(810\) | 49239.8 | + | 7421.71i | 2.13594 | + | 0.321941i | ||||
\(811\) | 23228.1 | − | 29127.1i | 1.00573 | − | 1.26115i | 0.0406571 | − | 0.999173i | \(-0.487055\pi\) |
0.965075 | − | 0.261975i | \(-0.0843737\pi\) | |||||||
\(812\) | 29823.2 | + | 14323.6i | 1.28890 | + | 0.619041i | ||||
\(813\) | −585.560 | − | 734.270i | −0.0252601 | − | 0.0316752i | ||||
\(814\) | 1150.90 | + | 1993.41i | 0.0495564 | + | 0.0858342i | ||||
\(815\) | 9845.59 | − | 17053.1i | 0.423161 | − | 0.732936i | ||||
\(816\) | −3952.81 | + | 595.790i | −0.169578 | + | 0.0255598i | ||||
\(817\) | 3380.00 | − | 3136.18i | 0.144738 | − | 0.134298i | ||||
\(818\) | −41680.3 | − | 20072.2i | −1.78156 | − | 0.857954i | ||||
\(819\) | 29235.9 | − | 19977.6i | 1.24736 | − | 0.852349i | ||||
\(820\) | −70927.3 | + | 34156.8i | −3.02060 | + | 1.45464i | ||||
\(821\) | 9367.76 | − | 23868.7i | 0.398218 | − | 1.01464i | −0.581372 | − | 0.813638i | \(-0.697484\pi\) |
0.979590 | − | 0.201005i | \(-0.0644209\pi\) | |||||||
\(822\) | −41.2366 | + | 550.264i | −0.00174975 | + | 0.0233487i | ||||
\(823\) | 43646.7 | + | 13463.2i | 1.84864 | + | 0.570229i | 0.999087 | + | 0.0427225i | \(0.0136031\pi\) |
0.849551 | + | 0.527507i | \(0.176873\pi\) | |||||||
\(824\) | 9647.65 | + | 128739.i | 0.407878 | + | 5.44276i | ||||
\(825\) | −18.4547 | + | 80.8553i | −0.000778800 | + | 0.00341215i | ||||
\(826\) | −61693.1 | + | 57363.2i | −2.59876 | + | 2.41637i | ||||
\(827\) | 3228.22 | + | 14143.8i | 0.135739 | + | 0.594712i | 0.996344 | + | 0.0854377i | \(0.0272289\pi\) |
−0.860604 | + | 0.509274i | \(0.829914\pi\) | |||||||
\(828\) | 37774.3 | − | 11651.8i | 1.58544 | − | 0.489045i | ||||
\(829\) | 14012.3 | + | 35702.7i | 0.587052 | + | 1.49578i | 0.847767 | + | 0.530369i | \(0.177947\pi\) |
−0.260715 | + | 0.965416i | \(0.583958\pi\) | |||||||
\(830\) | 17915.9 | + | 16623.6i | 0.749243 | + | 0.695196i | ||||
\(831\) | 1014.46 | + | 691.644i | 0.0423479 | + | 0.0288723i | ||||
\(832\) | −138142. | −5.75627 | ||||||||
\(833\) | −24253.6 | + | 7536.91i | −1.00881 | + | 0.313492i | ||||
\(834\) | 57.3771 | 0.00238226 | ||||||||
\(835\) | 5367.37 | + | 3659.41i | 0.222450 | + | 0.151664i | ||||
\(836\) | 2133.50 | + | 1979.60i | 0.0882639 | + | 0.0818970i | ||||
\(837\) | −390.441 | − | 994.828i | −0.0161238 | − | 0.0410828i | ||||
\(838\) | −24189.8 | + | 7461.58i | −0.997165 | + | 0.307585i | ||||
\(839\) | −6193.79 | − | 27136.8i | −0.254867 | − | 1.11665i | −0.926658 | − | 0.375905i | \(-0.877332\pi\) |
0.671791 | − | 0.740741i | \(-0.265525\pi\) | |||||||
\(840\) | 3280.62 | + | 2231.66i | 0.134753 | + | 0.0916662i | ||||
\(841\) | 3947.87 | − | 17296.8i | 0.161871 | − | 0.709204i | ||||
\(842\) | −4101.96 | − | 54736.9i | −0.167890 | − | 2.24033i | ||||
\(843\) | −1788.44 | − | 551.661i | −0.0730690 | − | 0.0225388i | ||||
\(844\) | 4124.63 | − | 55039.4i | 0.168218 | − | 2.24471i | ||||
\(845\) | 13014.1 | − | 33159.4i | 0.529822 | − | 1.34996i | ||||
\(846\) | 257.768 | − | 124.134i | 0.0104755 | − | 0.00504471i | ||||
\(847\) | −1642.31 | + | 22227.4i | −0.0666240 | + | 0.901705i | ||||
\(848\) | 81546.0 | + | 39270.5i | 3.30224 | + | 1.59028i | ||||
\(849\) | −170.485 | + | 158.187i | −0.00689169 | + | 0.00639455i | ||||
\(850\) | −13114.8 | + | 1976.74i | −0.529216 | + | 0.0797665i | ||||
\(851\) | −1247.37 | + | 2160.51i | −0.0502459 | + | 0.0870284i | ||||
\(852\) | 1189.05 | + | 2059.49i | 0.0478123 | + | 0.0828133i | ||||
\(853\) | −2598.67 | − | 3258.62i | −0.104310 | − | 0.130801i | 0.726936 | − | 0.686705i | \(-0.240944\pi\) |
−0.831246 | + | 0.555904i | \(0.812372\pi\) | |||||||
\(854\) | 44024.8 | + | 55087.0i | 1.76405 | + | 2.20730i | ||||
\(855\) | −2482.10 | + | 3112.46i | −0.0992820 | + | 0.124496i | ||||
\(856\) | −6316.48 | − | 952.056i | −0.252211 | − | 0.0380147i | ||||
\(857\) | 4629.18 | − | 3156.12i | 0.184515 | − | 0.125800i | −0.467540 | − | 0.883972i | \(-0.654859\pi\) |
0.652055 | + | 0.758172i | \(0.273907\pi\) | |||||||
\(858\) | 811.795 | − | 553.472i | 0.0323010 | − | 0.0220224i | ||||
\(859\) | −6842.71 | − | 1031.37i | −0.271793 | − | 0.0409662i | 0.0117316 | − | 0.999931i | \(-0.496266\pi\) |
−0.283524 | + | 0.958965i | \(0.591504\pi\) | |||||||
\(860\) | −67266.7 | + | 84349.8i | −2.66718 | + | 3.34454i | ||||
\(861\) | −741.590 | − | 927.930i | −0.0293535 | − | 0.0367291i | ||||
\(862\) | 40507.6 | + | 50794.9i | 1.60057 | + | 2.00706i | ||||
\(863\) | −13026.2 | − | 22562.1i | −0.513810 | − | 0.889945i | −0.999872 | − | 0.0160204i | \(-0.994900\pi\) |
0.486062 | − | 0.873924i | \(-0.338433\pi\) | |||||||
\(864\) | 4283.51 | − | 7419.26i | 0.168667 | − | 0.292139i | ||||
\(865\) | 16086.5 | − | 2424.65i | 0.632320 | − | 0.0953069i | ||||
\(866\) | 28257.3 | − | 26219.0i | 1.10880 | − | 1.02882i | ||||
\(867\) | 115.096 | + | 55.4274i | 0.00450851 | + | 0.00217118i | ||||
\(868\) | −2641.79 | + | 35754.6i | −0.103304 | + | 1.39815i | ||||
\(869\) | 69.2578 | − | 33.3528i | 0.00270358 | − | 0.00130198i | ||||
\(870\) | −458.750 | + | 1168.87i | −0.0178771 | + | 0.0455501i | ||||
\(871\) | −581.415 | + | 7758.44i | −0.0226182 | + | 0.301820i | ||||
\(872\) | −98302.9 | − | 30322.4i | −3.81761 | − | 1.17758i | ||||
\(873\) | −631.145 | − | 8422.04i | −0.0244685 | − | 0.326510i | ||||
\(874\) | −958.205 | + | 4198.17i | −0.0370844 | + | 0.162477i | ||||
\(875\) | −17742.3 | − | 12069.3i | −0.685484 | − | 0.466304i | ||||
\(876\) | 454.856 | + | 1992.85i | 0.0175436 | + | 0.0768634i | ||||
\(877\) | −15733.4 | + | 4853.12i | −0.605793 | + | 0.186862i | −0.582452 | − | 0.812865i | \(-0.697907\pi\) |
−0.0233412 | + | 0.999728i | \(0.507430\pi\) | |||||||
\(878\) | 3990.50 | + | 10167.6i | 0.153386 | + | 0.390821i | ||||
\(879\) | 727.329 | + | 674.862i | 0.0279092 | + | 0.0258959i | ||||
\(880\) | −28221.4 | − | 19241.0i | −1.08107 | − | 0.737063i | ||||
\(881\) | −41813.5 | −1.59902 | −0.799508 | − | 0.600655i | \(-0.794907\pi\) | ||||
−0.799508 | + | 0.600655i | \(0.794907\pi\) | |||||||
\(882\) | 18371.1 | − | 47098.5i | 0.701344 | − | 1.79806i | ||||
\(883\) | −24103.7 | −0.918634 | −0.459317 | − | 0.888272i | \(-0.651906\pi\) | ||||
−0.459317 | + | 0.888272i | \(0.651906\pi\) | |||||||
\(884\) | 95099.4 | + | 64837.7i | 3.61826 | + | 2.46689i | ||||
\(885\) | −1716.88 | − | 1593.03i | −0.0652115 | − | 0.0605074i | ||||
\(886\) | 16696.6 | + | 42542.2i | 0.633107 | + | 1.61313i | ||||
\(887\) | 22560.1 | − | 6958.86i | 0.853994 | − | 0.263422i | 0.163306 | − | 0.986575i | \(-0.447784\pi\) |
0.690688 | + | 0.723153i | \(0.257308\pi\) | |||||||
\(888\) | 141.441 | + | 619.696i | 0.00534512 | + | 0.0234185i | ||||
\(889\) | −20404.8 | + | 18972.7i | −0.769803 | + | 0.715774i | ||||
\(890\) | 4177.24 | − | 18301.7i | 0.157327 | − | 0.689296i | ||||
\(891\) | −611.854 | − | 8164.63i | −0.0230055 | − | 0.306987i | ||||
\(892\) | 47023.8 | + | 14504.9i | 1.76510 | + | 0.544462i | ||||
\(893\) | −1.70607 | + | 22.7660i | −6.39323e−5 | + | 0.000853118i | ||||
\(894\) | 813.626 | − | 2073.09i | 0.0304382 | − | 0.0775552i | ||||
\(895\) | 38532.5 | − | 18556.3i | 1.43911 | − | 0.693037i | ||||
\(896\) | −76199.3 | + | 52068.8i | −2.84112 | + | 1.94140i | ||||
\(897\) | 959.420 | + | 462.032i | 0.0357125 | + | 0.0171982i | ||||
\(898\) | 36082.0 | − | 33479.2i | 1.34084 | − | 1.24412i | ||||
\(899\) | −7123.01 | + | 1073.62i | −0.264255 | + | 0.0398301i | ||||
\(900\) | 9669.50 | − | 16748.1i | 0.358130 | − | 0.620299i | ||||
\(901\) | −13916.6 | − | 24104.2i | −0.514570 | − | 0.891261i | ||||
\(902\) | 11017.0 | + | 13814.9i | 0.406680 | + | 0.509960i | ||||
\(903\) | −1467.44 | − | 704.790i | −0.0540790 | − | 0.0259734i | ||||
\(904\) | −73461.2 | + | 92117.5i | −2.70275 | + | 3.38914i | ||||
\(905\) | 27475.2 | + | 4141.22i | 1.00918 | + | 0.152109i | ||||
\(906\) | 2459.96 | − | 1677.17i | 0.0902059 | − | 0.0615013i | ||||
\(907\) | −21197.4 | + | 14452.1i | −0.776018 | + | 0.529080i | −0.885350 | − | 0.464925i | \(-0.846081\pi\) |
0.109332 | + | 0.994005i | \(0.465129\pi\) | |||||||
\(908\) | 75248.8 | + | 11341.9i | 2.75024 | + | 0.414532i | ||||
\(909\) | −13740.1 | + | 17229.5i | −0.501353 | + | 0.628677i | ||||
\(910\) | −20175.5 | − | 87969.8i | −0.734957 | − | 3.20458i | ||||
\(911\) | 4533.40 | + | 5684.70i | 0.164872 | + | 0.206743i | 0.857403 | − | 0.514645i | \(-0.172076\pi\) |
−0.692532 | + | 0.721387i | \(0.743505\pi\) | |||||||
\(912\) | 317.471 | + | 549.875i | 0.0115269 | + | 0.0199651i | ||||
\(913\) | 2009.25 | − | 3480.11i | 0.0728328 | − | 0.126150i | ||||
\(914\) | 16833.4 | − | 2537.22i | 0.609188 | − | 0.0918204i | ||||
\(915\) | −1437.19 | + | 1333.52i | −0.0519257 | + | 0.0481800i | ||||
\(916\) | 11941.7 | + | 5750.82i | 0.430748 | + | 0.207437i | ||||
\(917\) | −29205.7 | − | 27042.1i | −1.05175 | − | 0.973837i | ||||
\(918\) | −4413.30 | + | 2125.33i | −0.158672 | + | 0.0764123i | ||||
\(919\) | −15519.6 | + | 39543.3i | −0.557067 | + | 1.41938i | 0.323848 | + | 0.946109i | \(0.395023\pi\) |
−0.880915 | + | 0.473275i | \(0.843072\pi\) | |||||||
\(920\) | 4780.38 | − | 63789.8i | 0.171309 | − | 2.28596i | ||||
\(921\) | 2130.59 | + | 657.201i | 0.0762274 | + | 0.0235130i | ||||
\(922\) | −3480.76 | − | 46447.6i | −0.124331 | − | 1.65908i | ||||
\(923\) | 7642.13 | − | 33482.4i | 0.272529 | − | 1.19403i | ||||
\(924\) | 374.409 | − | 956.923i | 0.0133302 | − | 0.0340698i | ||||
\(925\) | 271.580 | + | 1189.87i | 0.00965349 | + | 0.0422947i | ||||
\(926\) | −75682.0 | + | 23344.8i | −2.68582 | + | 0.828465i | ||||
\(927\) | 16708.0 | + | 42571.3i | 0.591977 | + | 1.50833i | ||||
\(928\) | −42330.1 | − | 39276.6i | −1.49736 | − | 1.38935i | ||||
\(929\) | 20607.3 | + | 14049.8i | 0.727774 | + | 0.496188i | 0.869633 | − | 0.493699i | \(-0.164356\pi\) |
−0.141859 | + | 0.989887i | \(0.545308\pi\) | |||||||
\(930\) | −1360.71 | −0.0479779 | ||||||||
\(931\) | 2521.80 | + | 3148.69i | 0.0887742 | + | 0.110842i | ||||
\(932\) | 17326.7 | 0.608964 | ||||||||
\(933\) | −664.444 | − | 453.011i | −0.0233150 | − | 0.0158959i | ||||
\(934\) | −17252.5 | − | 16007.9i | −0.604408 | − | 0.560809i | ||||
\(935\) | 3837.43 | + | 9777.62i | 0.134222 | + | 0.341992i | ||||
\(936\) | −138993. | + | 42873.7i | −4.85377 | + | 1.49719i | ||||
\(937\) | −4240.25 | − | 18577.8i | −0.147837 | − | 0.647715i | −0.993484 | − | 0.113973i | \(-0.963642\pi\) |
0.845647 | − | 0.533742i | \(-0.179215\pi\) | |||||||
\(938\) | 5563.99 | + | 9613.85i | 0.193679 | + | 0.334652i | ||||
\(939\) | 10.1129 | − | 44.3077i | 0.000351463 | − | 0.00153986i | ||||
\(940\) | −39.9196 | − | 532.691i | −0.00138514 | − | 0.0184835i | ||||
\(941\) | 22045.6 | + | 6800.16i | 0.763725 | + | 0.235578i | 0.652060 | − | 0.758168i | \(-0.273905\pi\) |
0.111666 | + | 0.993746i | \(0.464381\pi\) | |||||||
\(942\) | −226.847 | + | 3027.06i | −0.00784614 | + | 0.104700i | ||||
\(943\) | −6996.65 | + | 17827.2i | −0.241614 | + | 0.615623i | ||||
\(944\) | 180429. | − | 86890.0i | 6.22083 | − | 2.99579i | ||||
\(945\) | 2689.55 | + | 826.532i | 0.0925831 | + | 0.0284520i | ||||
\(946\) | 21817.8 | + | 10506.9i | 0.749848 | + | 0.361108i | ||||
\(947\) | −15561.4 | + | 14438.8i | −0.533977 | + | 0.495458i | −0.900443 | − | 0.434973i | \(-0.856758\pi\) |
0.366467 | + | 0.930431i | \(0.380567\pi\) | |||||||
\(948\) | 33.0621 | − | 4.98330i | 0.00113271 | − | 0.000170728i | ||||
\(949\) | 14760.1 | − | 25565.2i | 0.504881 | − | 0.874479i | ||||
\(950\) | 1053.32 | + | 1824.40i | 0.0359727 | + | 0.0623066i | ||||
\(951\) | −47.9272 | − | 60.0988i | −0.00163422 | − | 0.00204925i | ||||
\(952\) | 104328. | − | 109.249i | 3.55178 | − | 0.00371932i | ||||
\(953\) | 13781.7 | − | 17281.7i | 0.468450 | − | 0.587418i | −0.490341 | − | 0.871531i | \(-0.663128\pi\) |
0.958791 | + | 0.284113i | \(0.0916990\pi\) | |||||||
\(954\) | 54783.5 | + | 8257.29i | 1.85921 | + | 0.280230i | ||||
\(955\) | −21046.2 | + | 14349.0i | −0.713129 | + | 0.486203i | ||||
\(956\) | 28661.1 | − | 19540.8i | 0.969629 | − | 0.661082i | ||||
\(957\) | 204.154 | + | 30.7712i | 0.00689587 | + | 0.00103939i | ||||
\(958\) | 25992.8 | − | 32594.0i | 0.876608 | − | 1.09923i | ||||
\(959\) | 1846.05 | − | 8127.29i | 0.0621606 | − | 0.273664i | ||||
\(960\) | −3418.81 | − | 4287.05i | −0.114939 | − | 0.144129i | ||||
\(961\) | 10992.5 | + | 19039.5i | 0.368987 | + | 0.639104i | ||||
\(962\) | 7229.37 | − | 12521.6i | 0.242291 | − | 0.419661i | ||||
\(963\) | −2237.56 | + | 337.258i | −0.0748748 | + | 0.0112856i | ||||
\(964\) | −65740.0 | + | 60997.8i | −2.19641 | + | 2.03797i | ||||
\(965\) | −17131.3 | − | 8250.00i | −0.571478 | − | 0.275209i | ||||
\(966\) | 1503.11 | − | 228.168i | 0.0500640 | − | 0.00759956i | ||||
\(967\) | −10100.0 | + | 4863.91i | −0.335879 | + | 0.161751i | −0.594219 | − | 0.804303i | \(-0.702539\pi\) |
0.258340 | + | 0.966054i | \(0.416824\pi\) | |||||||
\(968\) | 33448.6 | − | 85225.6i | 1.11062 | − | 2.82981i | ||||
\(969\) | 14.5914 | − | 194.709i | 0.000483740 | − | 0.00645507i | ||||
\(970\) | −20570.3 | − | 6345.10i | −0.680900 | − | 0.210030i | ||||
\(971\) | 2561.07 | + | 34175.2i | 0.0846435 | + | 1.12949i | 0.864197 | + | 0.503153i | \(0.167827\pi\) |
−0.779554 | + | 0.626335i | \(0.784554\pi\) | |||||||
\(972\) | 2384.77 | − | 10448.3i | 0.0786948 | − | 0.344785i | ||||
\(973\) | −857.061 | − | 128.263i | −0.0282385 | − | 0.00422604i | ||||
\(974\) | −1510.71 | − | 6618.86i | −0.0496985 | − | 0.217743i | ||||
\(975\) | 497.811 | − | 153.554i | 0.0163515 | − | 0.00504377i | ||||
\(976\) | −61244.8 | − | 156049.i | −2.00861 | − | 5.11784i | ||||
\(977\) | 15756.3 | + | 14619.7i | 0.515954 | + | 0.478735i | 0.894639 | − | 0.446790i | \(-0.147433\pi\) |
−0.378685 | + | 0.925526i | \(0.623623\pi\) | |||||||
\(978\) | −1588.38 | − | 1082.94i | −0.0519334 | − | 0.0354076i | ||||
\(979\) | −3086.57 | −0.100763 | ||||||||
\(980\) | −69328.1 | − | 64057.4i | −2.25980 | − | 2.08800i | ||||
\(981\) | −36442.0 | −1.18604 | ||||||||
\(982\) | 5446.31 | + | 3713.23i | 0.176985 | + | 0.120666i | ||||
\(983\) | −32165.9 | − | 29845.6i | −1.04368 | − | 0.968389i | −0.0441447 | − | 0.999025i | \(-0.514056\pi\) |
−0.999531 | + | 0.0306360i | \(0.990247\pi\) | |||||||
\(984\) | 1782.67 | + | 4542.17i | 0.0577535 | + | 0.147153i | ||||
\(985\) | 2445.17 | − | 754.235i | 0.0790961 | − | 0.0243979i | ||||
\(986\) | 7346.98 | + | 32189.2i | 0.237298 | + | 1.03967i | ||||
\(987\) | 7.69973 | − | 2.38389i | 0.000248313 | − | 7.68793e-5i | ||||
\(988\) | 4068.11 | − | 17823.6i | 0.130996 | − | 0.573930i | ||||
\(989\) | 1961.35 | + | 26172.3i | 0.0630608 | + | 0.841488i | ||||
\(990\) | −19978.9 | − | 6162.69i | −0.641386 | − | 0.197841i | ||||
\(991\) | 1876.62 | − | 25041.8i | 0.0601542 | − | 0.802702i | −0.882793 | − | 0.469761i | \(-0.844340\pi\) |
0.942948 | − | 0.332941i | \(-0.108041\pi\) | |||||||
\(992\) | 22861.3 | − | 58249.7i | 0.731702 | − | 1.86435i | ||||
\(993\) | −1153.51 | + | 555.502i | −0.0368637 | + | 0.0177526i | ||||
\(994\) | −17961.3 | − | 45624.1i | −0.573137 | − | 1.45584i | ||||
\(995\) | −37269.2 | − | 17947.9i | −1.18745 | − | 0.571846i | ||||
\(996\) | 1281.29 | − | 1188.86i | 0.0407622 | − | 0.0378218i | ||||
\(997\) | 5520.88 | − | 832.139i | 0.175374 | − | 0.0264334i | −0.0607680 | − | 0.998152i | \(-0.519355\pi\) |
0.236142 | + | 0.971719i | \(0.424117\pi\) | |||||||
\(998\) | −56643.4 | + | 98109.2i | −1.79661 | + | 3.11182i | ||||
\(999\) | 225.378 | + | 390.365i | 0.00713777 | + | 0.0123630i |
(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 | 49.4.g.a.4.1 | ✓ | 156 | |
49.24 | odd | 42 | 2401.4.a.f.1.1 | 78 | |||
49.25 | even | 21 | 2401.4.a.g.1.1 | 78 | |||
49.37 | even | 21 | inner | 49.4.g.a.37.1 | yes | 156 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.4.g.a.4.1 | ✓ | 156 | 1.1 | even | 1 | trivial | |
49.4.g.a.37.1 | yes | 156 | 49.37 | even | 21 | inner | |
2401.4.a.f.1.1 | 78 | 49.24 | odd | 42 | |||
2401.4.a.g.1.1 | 78 | 49.25 | even | 21 |