Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,7,Mod(2,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 2]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.h (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(15.8737317698\) |
Analytic rank: | \(0\) |
Dimension: | \(460\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 2.3 | ||
Character | \(\chi\) | \(=\) | 69.2 |
Dual form | 69.7.h.a.35.3 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{1}{11}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −7.93618 | + | 12.3489i | −0.992023 | + | 1.54362i | −0.161319 | + | 0.986902i | \(0.551575\pi\) |
−0.830704 | + | 0.556715i | \(0.812062\pi\) | |||||||
\(3\) | 9.25924 | + | 25.3627i | 0.342935 | + | 0.939359i | ||||
\(4\) | −62.9267 | − | 137.790i | −0.983230 | − | 2.15297i | ||||
\(5\) | −30.4794 | + | 103.803i | −0.243835 | + | 0.830427i | 0.743082 | + | 0.669200i | \(0.233363\pi\) |
−0.986917 | + | 0.161227i | \(0.948455\pi\) | |||||||
\(6\) | −386.685 | − | 86.9411i | −1.79021 | − | 0.402505i | ||||
\(7\) | −356.362 | + | 411.263i | −1.03896 | + | 1.19902i | −0.0593189 | + | 0.998239i | \(0.518893\pi\) |
−0.979636 | + | 0.200779i | \(0.935653\pi\) | |||||||
\(8\) | 1271.06 | + | 182.750i | 2.48253 | + | 0.356934i | ||||
\(9\) | −557.533 | + | 469.679i | −0.764791 | + | 0.644278i | ||||
\(10\) | −1039.97 | − | 1200.19i | −1.03997 | − | 1.20019i | ||||
\(11\) | 247.215 | + | 384.673i | 0.185736 | + | 0.289011i | 0.921617 | − | 0.388100i | \(-0.126868\pi\) |
−0.735881 | + | 0.677110i | \(0.763232\pi\) | |||||||
\(12\) | 2912.08 | − | 2871.83i | 1.68523 | − | 1.66194i | ||||
\(13\) | −2138.89 | − | 2468.41i | −0.973551 | − | 1.12354i | −0.992318 | − | 0.123714i | \(-0.960519\pi\) |
0.0187666 | − | 0.999824i | \(-0.494026\pi\) | |||||||
\(14\) | −2250.51 | − | 7664.55i | −0.820158 | − | 2.79320i | ||||
\(15\) | −2914.95 | + | 188.101i | −0.863689 | + | 0.0557335i | ||||
\(16\) | −5995.43 | + | 6919.10i | −1.46373 | + | 1.68923i | ||||
\(17\) | 4444.14 | + | 2029.57i | 0.904568 | + | 0.413102i | 0.812709 | − | 0.582670i | \(-0.197992\pi\) |
0.0918590 | + | 0.995772i | \(0.470719\pi\) | |||||||
\(18\) | −1375.35 | − | 10612.4i | −0.235829 | − | 1.81968i | ||||
\(19\) | 2743.64 | + | 6007.73i | 0.400005 | + | 0.875890i | 0.997270 | + | 0.0738451i | \(0.0235270\pi\) |
−0.597264 | + | 0.802044i | \(0.703746\pi\) | |||||||
\(20\) | 16221.1 | − | 2332.24i | 2.02763 | − | 0.291530i | ||||
\(21\) | −13730.4 | − | 5230.31i | −1.48260 | − | 0.564767i | ||||
\(22\) | −6712.25 | −0.630376 | ||||||||
\(23\) | −10994.1 | − | 5212.05i | −0.903601 | − | 0.428376i | ||||
\(24\) | 7133.97 | + | 33929.5i | 0.516057 | + | 2.45439i | ||||
\(25\) | 3298.44 | + | 2119.78i | 0.211100 | + | 0.135666i | ||||
\(26\) | 47456.9 | − | 6823.27i | 2.70010 | − | 0.388215i | ||||
\(27\) | −17074.7 | − | 9791.67i | −0.867482 | − | 0.497468i | ||||
\(28\) | 79092.8 | + | 23223.7i | 3.60299 | + | 1.05793i | ||||
\(29\) | 34761.7 | + | 15875.1i | 1.42530 | + | 0.650914i | 0.970813 | − | 0.239839i | \(-0.0770945\pi\) |
0.454489 | + | 0.890752i | \(0.349822\pi\) | |||||||
\(30\) | 20810.7 | − | 37489.3i | 0.770768 | − | 1.38849i | ||||
\(31\) | −3125.06 | + | 21735.2i | −0.104899 | + | 0.729591i | 0.867697 | + | 0.497093i | \(0.165599\pi\) |
−0.972597 | + | 0.232498i | \(0.925310\pi\) | |||||||
\(32\) | −14708.8 | − | 50093.5i | −0.448876 | − | 1.52873i | ||||
\(33\) | −7467.34 | + | 9831.82i | −0.207790 | + | 0.273585i | ||||
\(34\) | −60332.6 | + | 38773.4i | −1.53502 | + | 0.986500i | ||||
\(35\) | −31828.8 | − | 49526.6i | −0.742363 | − | 1.15514i | ||||
\(36\) | 99800.9 | + | 47267.3i | 2.13908 | + | 1.01310i | ||||
\(37\) | 27047.5 | − | 7941.88i | 0.533977 | − | 0.156790i | −0.00361716 | − | 0.999993i | \(-0.501151\pi\) |
0.537594 | + | 0.843204i | \(0.319333\pi\) | |||||||
\(38\) | −95963.0 | − | 13797.4i | −1.74885 | − | 0.251447i | ||||
\(39\) | 42801.1 | − | 77103.7i | 0.721541 | − | 1.29981i | ||||
\(40\) | −57711.1 | + | 126370.i | −0.901736 | + | 1.97453i | ||||
\(41\) | −15292.7 | + | 52082.2i | −0.221887 | + | 0.755679i | 0.771022 | + | 0.636808i | \(0.219746\pi\) |
−0.992910 | + | 0.118871i | \(0.962072\pi\) | |||||||
\(42\) | 173556. | − | 128047.i | 2.34256 | − | 1.72831i | ||||
\(43\) | −16005.2 | − | 111319.i | −0.201306 | − | 1.40011i | −0.800415 | − | 0.599447i | \(-0.795387\pi\) |
0.599108 | − | 0.800668i | \(-0.295522\pi\) | |||||||
\(44\) | 37447.9 | − | 58270.0i | 0.439612 | − | 0.684049i | ||||
\(45\) | −31761.0 | − | 72189.3i | −0.348543 | − | 0.792201i | ||||
\(46\) | 151615. | − | 94401.8i | 1.55764 | − | 0.969855i | ||||
\(47\) | 131393.i | 1.26555i | 0.774338 | + | 0.632773i | \(0.218083\pi\) | ||||
−0.774338 | + | 0.632773i | \(0.781917\pi\) | |||||||
\(48\) | −231000. | − | 87994.8i | −2.08876 | − | 0.795670i | ||||
\(49\) | −25400.7 | − | 176665.i | −0.215902 | − | 1.50163i | ||||
\(50\) | −52354.0 | + | 23909.2i | −0.418832 | + | 0.191274i | ||||
\(51\) | −10326.0 | + | 131508.i | −0.0778435 | + | 0.991382i | ||||
\(52\) | −205530. | + | 450048.i | −1.46172 | + | 3.20073i | ||||
\(53\) | −18883.6 | − | 16362.7i | −0.126840 | − | 0.109907i | 0.589131 | − | 0.808038i | \(-0.299470\pi\) |
−0.715971 | + | 0.698130i | \(0.754016\pi\) | |||||||
\(54\) | 256424. | − | 133145.i | 1.62846 | − | 0.845561i | ||||
\(55\) | −47465.4 | + | 13937.1i | −0.285292 | + | 0.0837692i | ||||
\(56\) | −528114. | + | 457613.i | −3.00721 | + | 2.60576i | ||||
\(57\) | −126968. | + | 125213.i | −0.685599 | + | 0.676122i | ||||
\(58\) | −471916. | + | 303282.i | −2.41869 | + | 1.55440i | ||||
\(59\) | 140044. | − | 121349.i | 0.681882 | − | 0.590854i | −0.243495 | − | 0.969902i | \(-0.578294\pi\) |
0.925377 | + | 0.379048i | \(0.123749\pi\) | |||||||
\(60\) | 209347. | + | 389815.i | 0.969198 | + | 1.80470i | ||||
\(61\) | 15610.7 | − | 108575.i | 0.0687753 | − | 0.478343i | −0.926104 | − | 0.377269i | \(-0.876863\pi\) |
0.994879 | − | 0.101073i | \(-0.0322277\pi\) | |||||||
\(62\) | −243606. | − | 211086.i | −1.02215 | − | 0.885695i | ||||
\(63\) | 5521.67 | − | 396668.i | 0.0220825 | − | 1.58638i | ||||
\(64\) | 173129. | + | 50835.3i | 0.660435 | + | 0.193921i | ||||
\(65\) | 321422. | − | 146788.i | 1.17040 | − | 0.534505i | ||||
\(66\) | −62150.3 | − | 170241.i | −0.216178 | − | 0.592150i | ||||
\(67\) | −138985. | − | 89320.1i | −0.462107 | − | 0.296978i | 0.288796 | − | 0.957391i | \(-0.406745\pi\) |
−0.750903 | + | 0.660412i | \(0.770381\pi\) | |||||||
\(68\) | − | 740074.i | − | 2.35369i | ||||||
\(69\) | 30394.5 | − | 327100.i | 0.0925226 | − | 0.995711i | ||||
\(70\) | 864201. | 2.51954 | ||||||||
\(71\) | −113686. | + | 176899.i | −0.317637 | + | 0.494253i | −0.962955 | − | 0.269661i | \(-0.913088\pi\) |
0.645318 | + | 0.763914i | \(0.276725\pi\) | |||||||
\(72\) | −794489. | + | 495098.i | −2.12858 | + | 1.32646i | ||||
\(73\) | 64269.2 | + | 140730.i | 0.165209 | + | 0.361758i | 0.974072 | − | 0.226240i | \(-0.0726435\pi\) |
−0.808862 | + | 0.587998i | \(0.799916\pi\) | |||||||
\(74\) | −116580. | + | 397037.i | −0.287694 | + | 0.979795i | ||||
\(75\) | −23222.2 | + | 103285.i | −0.0550452 | + | 0.244823i | ||||
\(76\) | 655159. | − | 756093.i | 1.49247 | − | 1.72240i | ||||
\(77\) | −246300. | − | 35412.6i | −0.539501 | − | 0.0775685i | ||||
\(78\) | 612472. | + | 1.14046e6i | 1.29063 | + | 2.40323i | ||||
\(79\) | −287286. | − | 331545.i | −0.582683 | − | 0.672452i | 0.385496 | − | 0.922709i | \(-0.374030\pi\) |
−0.968179 | + | 0.250257i | \(0.919485\pi\) | |||||||
\(80\) | −535489. | − | 833237.i | −1.04588 | − | 1.62742i | ||||
\(81\) | 90244.7 | − | 523723.i | 0.169811 | − | 0.985477i | ||||
\(82\) | −521794. | − | 602182.i | −0.946362 | − | 1.09216i | ||||
\(83\) | −318660. | − | 1.08526e6i | −0.557306 | − | 1.89801i | −0.420132 | − | 0.907463i | \(-0.638016\pi\) |
−0.137174 | − | 0.990547i | \(-0.543802\pi\) | |||||||
\(84\) | 143323. | + | 2.22104e6i | 0.241812 | + | 3.74730i | ||||
\(85\) | −346131. | + | 399457.i | −0.563617 | + | 0.650449i | ||||
\(86\) | 1.50169e6 | + | 685799.i | 2.36094 | + | 1.07821i | ||||
\(87\) | −80769.2 | + | 1.02864e6i | −0.122656 | + | 1.56209i | ||||
\(88\) | 243924. | + | 534120.i | 0.357937 | + | 0.783774i | ||||
\(89\) | −17770.4 | + | 2554.99i | −0.0252073 | + | 0.00362426i | −0.154907 | − | 0.987929i | \(-0.549508\pi\) |
0.129700 | + | 0.991553i | \(0.458599\pi\) | |||||||
\(90\) | 1.14352e6 | + | 180693.i | 1.56862 | + | 0.247865i | ||||
\(91\) | 1.77739e6 | 2.35862 | ||||||||
\(92\) | −26346.7 | + | 1.84286e6i | −0.0338348 | + | 2.36662i | ||||
\(93\) | −580200. | + | 121992.i | −0.721322 | + | 0.151664i | ||||
\(94\) | −1.62256e6 | − | 1.04276e6i | −1.95352 | − | 1.25545i | ||||
\(95\) | −707247. | + | 101687.i | −0.824898 | + | 0.118602i | ||||
\(96\) | 1.13431e6 | − | 836882.i | 1.28209 | − | 0.945911i | ||||
\(97\) | −47969.3 | − | 14085.1i | −0.0525592 | − | 0.0154328i | 0.255347 | − | 0.966849i | \(-0.417810\pi\) |
−0.307906 | + | 0.951417i | \(0.599628\pi\) | |||||||
\(98\) | 2.38322e6 | + | 1.08838e6i | 2.53212 | + | 1.15638i | ||||
\(99\) | −318503. | − | 98356.6i | −0.328253 | − | 0.101367i | ||||
\(100\) | 84524.8 | − | 587883.i | 0.0845248 | − | 0.587883i | ||||
\(101\) | −18216.7 | − | 62040.4i | −0.0176809 | − | 0.0602158i | 0.950180 | − | 0.311702i | \(-0.100899\pi\) |
−0.967861 | + | 0.251486i | \(0.919081\pi\) | |||||||
\(102\) | −1.54203e6 | − | 1.17118e6i | −1.45309 | − | 1.10363i | ||||
\(103\) | −524334. | + | 336969.i | −0.479840 | + | 0.308374i | −0.758108 | − | 0.652129i | \(-0.773876\pi\) |
0.278268 | + | 0.960503i | \(0.410240\pi\) | |||||||
\(104\) | −2.26755e6 | − | 3.52837e6i | −2.01584 | − | 3.13671i | ||||
\(105\) | 961418. | − | 1.26584e6i | 0.830509 | − | 1.09348i | ||||
\(106\) | 351925. | − | 103335.i | 0.295483 | − | 0.0867617i | ||||
\(107\) | −353807. | − | 50869.8i | −0.288812 | − | 0.0415249i | −0.00361392 | − | 0.999993i | \(-0.501150\pi\) |
−0.285198 | + | 0.958469i | \(0.592059\pi\) | |||||||
\(108\) | −274745. | + | 2.96888e6i | −0.218101 | + | 2.35679i | ||||
\(109\) | −693348. | + | 1.51822e6i | −0.535392 | + | 1.17235i | 0.427884 | + | 0.903833i | \(0.359259\pi\) |
−0.963276 | + | 0.268512i | \(0.913468\pi\) | |||||||
\(110\) | 204586. | − | 696754.i | 0.153708 | − | 0.523482i | ||||
\(111\) | 451867. | + | 612463.i | 0.330401 | + | 0.447828i | ||||
\(112\) | −709029. | − | 4.93140e6i | −0.504673 | − | 3.51008i | ||||
\(113\) | 82096.2 | − | 127744.i | 0.0568968 | − | 0.0885331i | −0.811640 | − | 0.584158i | \(-0.801425\pi\) |
0.868536 | + | 0.495625i | \(0.165061\pi\) | |||||||
\(114\) | −538606. | − | 2.56163e6i | −0.363544 | − | 1.72903i | ||||
\(115\) | 876123. | − | 982366.i | 0.576065 | − | 0.645921i | ||||
\(116\) | − | 5.78880e6i | − | 3.70864i | ||||||
\(117\) | 2.35186e6 | + | 371629.i | 1.46843 | + | 0.232034i | ||||
\(118\) | 387115. | + | 2.69244e6i | 0.235610 | + | 1.63871i | ||||
\(119\) | −2.41841e6 | + | 1.10445e6i | −1.43512 | + | 0.655399i | ||||
\(120\) | −3.73944e6 | − | 293622.i | −2.16403 | − | 0.169920i | ||||
\(121\) | 649074. | − | 1.42127e6i | 0.366386 | − | 0.802273i | ||||
\(122\) | 1.21689e6 | + | 1.05444e6i | 0.670151 | + | 0.580689i | ||||
\(123\) | −1.46254e6 | + | 94377.3i | −0.785947 | + | 0.0507168i | ||||
\(124\) | 3.19156e6 | − | 937126.i | 1.67393 | − | 0.491510i | ||||
\(125\) | −1.59809e6 | + | 1.38476e6i | −0.818224 | + | 0.708995i | ||||
\(126\) | 4.85461e6 | + | 3.21622e6i | 2.42685 | + | 1.60781i | ||||
\(127\) | −2.81284e6 | + | 1.80770e6i | −1.37320 | + | 0.882502i | −0.998994 | − | 0.0448442i | \(-0.985721\pi\) |
−0.374205 | + | 0.927346i | \(0.622085\pi\) | |||||||
\(128\) | 523464. | − | 453584.i | 0.249607 | − | 0.216286i | ||||
\(129\) | 2.67515e6 | − | 1.43667e6i | 1.24618 | − | 0.669247i | ||||
\(130\) | −738181. | + | 5.13416e6i | −0.335995 | + | 2.33690i | ||||
\(131\) | 343897. | + | 297989.i | 0.152973 | + | 0.132552i | 0.727985 | − | 0.685593i | \(-0.240457\pi\) |
−0.575012 | + | 0.818145i | \(0.695003\pi\) | |||||||
\(132\) | 1.82462e6 | + | 410243.i | 0.793326 | + | 0.178369i | ||||
\(133\) | −3.44848e6 | − | 1.01257e6i | −1.46580 | − | 0.430396i | ||||
\(134\) | 2.20602e6 | − | 1.00745e6i | 0.916841 | − | 0.418707i | ||||
\(135\) | 1.53683e6 | − | 1.47396e6i | 0.624634 | − | 0.599081i | ||||
\(136\) | 5.27785e6 | + | 3.39187e6i | 2.09817 | + | 1.34841i | ||||
\(137\) | 3.82936e6i | 1.48924i | 0.667488 | + | 0.744620i | \(0.267369\pi\) | ||||
−0.667488 | + | 0.744620i | \(0.732631\pi\) | |||||||
\(138\) | 3.79812e6 | + | 2.97126e6i | 1.44521 | + | 1.13059i | ||||
\(139\) | −1.05040e6 | −0.391122 | −0.195561 | − | 0.980692i | \(-0.562653\pi\) | ||||
−0.195561 | + | 0.980692i | \(0.562653\pi\) | |||||||
\(140\) | −4.82141e6 | + | 7.50225e6i | −1.75707 | + | 2.73406i | ||||
\(141\) | −3.33247e6 | + | 1.21660e6i | −1.18880 | + | 0.434000i | ||||
\(142\) | −1.28228e6 | − | 2.80780e6i | −0.447835 | − | 0.980621i | ||||
\(143\) | 420768. | − | 1.43300e6i | 0.143891 | − | 0.490048i | ||||
\(144\) | 92896.7 | − | 6.67355e6i | 0.0311109 | − | 2.23496i | ||||
\(145\) | −2.70741e6 | + | 3.12452e6i | −0.888076 | + | 1.02489i | ||||
\(146\) | −2.24792e6 | − | 323202.i | −0.722307 | − | 0.103852i | ||||
\(147\) | 4.24552e6 | − | 2.28002e6i | 1.33653 | − | 0.717772i | ||||
\(148\) | −2.79633e6 | − | 3.22713e6i | −0.862587 | − | 0.995478i | ||||
\(149\) | −962978. | − | 1.49842e6i | −0.291110 | − | 0.452977i | 0.664636 | − | 0.747167i | \(-0.268586\pi\) |
−0.955747 | + | 0.294190i | \(0.904950\pi\) | |||||||
\(150\) | −1.09116e6 | − | 1.10646e6i | −0.323307 | − | 0.327839i | ||||
\(151\) | 1.77747e6 | + | 2.05131e6i | 0.516265 | + | 0.595801i | 0.952692 | − | 0.303938i | \(-0.0983017\pi\) |
−0.436427 | + | 0.899740i | \(0.643756\pi\) | |||||||
\(152\) | 2.38940e6 | + | 8.13755e6i | 0.680390 | + | 2.31720i | ||||
\(153\) | −3.43100e6 | + | 955767.i | −0.957959 | + | 0.266856i | ||||
\(154\) | 2.39199e6 | − | 2.76050e6i | 0.654933 | − | 0.755833i | ||||
\(155\) | −2.16094e6 | − | 986869.i | −0.580294 | − | 0.265011i | ||||
\(156\) | −1.33175e7 | − | 1.04569e6i | −3.50791 | − | 0.275442i | ||||
\(157\) | 1.38810e6 | + | 3.03951e6i | 0.358692 | + | 0.785426i | 0.999838 | + | 0.0180069i | \(0.00573210\pi\) |
−0.641146 | + | 0.767419i | \(0.721541\pi\) | |||||||
\(158\) | 6.37418e6 | − | 916469.i | 1.61604 | − | 0.232352i | ||||
\(159\) | 240155. | − | 630444.i | 0.0597447 | − | 0.156839i | ||||
\(160\) | 5.64819e6 | 1.37895 | ||||||||
\(161\) | 6.06140e6 | − | 2.66410e6i | 1.45243 | − | 0.638370i | ||||
\(162\) | 5.75122e6 | + | 5.27078e6i | 1.35274 | + | 1.23974i | ||||
\(163\) | −3.71513e6 | − | 2.38757e6i | −0.857850 | − | 0.551307i | 0.0361640 | − | 0.999346i | \(-0.488486\pi\) |
−0.894014 | + | 0.448039i | \(0.852122\pi\) | |||||||
\(164\) | 8.13874e6 | − | 1.17017e6i | 1.84512 | − | 0.265289i | ||||
\(165\) | −792976. | − | 1.07480e6i | −0.176526 | − | 0.239264i | ||||
\(166\) | 1.59307e7 | + | 4.67768e6i | 3.48266 | + | 1.02260i | ||||
\(167\) | −5.66967e6 | − | 2.58925e6i | −1.21733 | − | 0.555936i | −0.299953 | − | 0.953954i | \(-0.596971\pi\) |
−0.917378 | + | 0.398018i | \(0.869698\pi\) | |||||||
\(168\) | −1.64962e7 | − | 9.15724e6i | −3.47902 | − | 1.93124i | ||||
\(169\) | −831277. | + | 5.78166e6i | −0.172221 | + | 1.19782i | ||||
\(170\) | −2.18591e6 | − | 7.44452e6i | −0.444923 | − | 1.51527i | ||||
\(171\) | −4.35137e6 | − | 2.06088e6i | −0.870237 | − | 0.412158i | ||||
\(172\) | −1.43315e7 | + | 9.21030e6i | −2.81648 | + | 1.81004i | ||||
\(173\) | 3.10024e6 | + | 4.82407e6i | 0.598766 | + | 0.931698i | 0.999877 | + | 0.0156686i | \(0.00498768\pi\) |
−0.401111 | + | 0.916029i | \(0.631376\pi\) | |||||||
\(174\) | −1.20616e7 | − | 9.16090e6i | −2.28959 | − | 1.73896i | ||||
\(175\) | −2.04722e6 | + | 601119.i | −0.381989 | + | 0.112162i | ||||
\(176\) | −4.14375e6 | − | 595782.i | −0.760074 | − | 0.109282i | ||||
\(177\) | 4.37444e6 | + | 2.42830e6i | 0.788865 | + | 0.437907i | ||||
\(178\) | 109477. | − | 239722.i | 0.0194117 | − | 0.0425057i | ||||
\(179\) | 2.95220e6 | − | 1.00543e7i | 0.514739 | − | 1.75304i | −0.132938 | − | 0.991124i | \(-0.542441\pi\) |
0.647677 | − | 0.761915i | \(-0.275741\pi\) | |||||||
\(180\) | −7.94838e6 | + | 8.91900e6i | −1.36289 | + | 1.52932i | ||||
\(181\) | −1.31289e6 | − | 9.13132e6i | −0.221407 | − | 1.53992i | −0.732723 | − | 0.680527i | \(-0.761751\pi\) |
0.511316 | − | 0.859393i | \(-0.329158\pi\) | |||||||
\(182\) | −1.41057e7 | + | 2.19488e7i | −2.33980 | + | 3.64081i | ||||
\(183\) | 2.89829e6 | − | 609390.i | 0.472921 | − | 0.0994357i | ||||
\(184\) | −1.30216e7 | − | 8.63398e6i | −2.09031 | − | 1.38598i | ||||
\(185\) | 3.04969e6i | 0.481660i | ||||||||
\(186\) | 3.09810e6 | − | 8.13301e6i | 0.481456 | − | 1.26390i | ||||
\(187\) | 317935. | + | 2.21128e6i | 0.0486198 | + | 0.338158i | ||||
\(188\) | 1.81046e7 | − | 8.26812e6i | 2.72469 | − | 1.24432i | ||||
\(189\) | 1.01117e7 | − | 3.53280e6i | 1.49775 | − | 0.523280i | ||||
\(190\) | 4.35712e6 | − | 9.54075e6i | 0.635241 | − | 1.39098i | ||||
\(191\) | 6.00087e6 | + | 5.19978e6i | 0.861220 | + | 0.746251i | 0.968773 | − | 0.247948i | \(-0.0797563\pi\) |
−0.107554 | + | 0.994199i | \(0.534302\pi\) | |||||||
\(192\) | 313724. | + | 4.86171e6i | 0.0443246 | + | 0.686888i | ||||
\(193\) | 4.65643e6 | − | 1.36725e6i | 0.647710 | − | 0.190185i | 0.0586559 | − | 0.998278i | \(-0.481319\pi\) |
0.589054 | + | 0.808093i | \(0.299500\pi\) | |||||||
\(194\) | 554629. | − | 480589.i | 0.0759622 | − | 0.0658216i | ||||
\(195\) | 6.69908e6 | + | 6.79298e6i | 0.903464 | + | 0.916128i | ||||
\(196\) | −2.27444e7 | + | 1.46169e7i | −3.02069 | + | 1.94128i | ||||
\(197\) | 2.13118e6 | − | 1.84668e6i | 0.278755 | − | 0.241542i | −0.504251 | − | 0.863557i | \(-0.668231\pi\) |
0.783005 | + | 0.622015i | \(0.213686\pi\) | |||||||
\(198\) | 3.74230e6 | − | 3.15260e6i | 0.482106 | − | 0.406138i | ||||
\(199\) | 763148. | − | 5.30781e6i | 0.0968388 | − | 0.673529i | −0.882352 | − | 0.470589i | \(-0.844041\pi\) |
0.979191 | − | 0.202940i | \(-0.0650495\pi\) | |||||||
\(200\) | 3.80510e6 | + | 3.29714e6i | 0.475638 | + | 0.412143i | ||||
\(201\) | 978504. | − | 4.35206e6i | 0.120497 | − | 0.535929i | ||||
\(202\) | 910703. | + | 267407.i | 0.110490 | + | 0.0324428i | ||||
\(203\) | −1.89166e7 | + | 8.63892e6i | −2.26128 | + | 1.03269i | ||||
\(204\) | 1.87703e7 | − | 6.85253e6i | 2.21096 | − | 0.807161i | ||||
\(205\) | −4.94019e6 | − | 3.17487e6i | −0.573433 | − | 0.368523i | ||||
\(206\) | − | 9.14921e6i | − | 1.04660i | ||||||
\(207\) | 8.57757e6 | − | 2.25781e6i | 0.967059 | − | 0.254552i | ||||
\(208\) | 2.99028e7 | 3.32293 | ||||||||
\(209\) | −1.63275e6 | + | 2.54060e6i | −0.178846 | + | 0.278290i | ||||
\(210\) | 8.00184e6 | + | 2.19185e7i | 0.864037 | + | 2.36675i | ||||
\(211\) | 1.79230e6 | + | 3.92458e6i | 0.190793 | + | 0.417778i | 0.980719 | − | 0.195424i | \(-0.0626083\pi\) |
−0.789926 | + | 0.613202i | \(0.789881\pi\) | |||||||
\(212\) | −1.06634e6 | + | 3.63162e6i | −0.111915 | + | 0.381147i | ||||
\(213\) | −5.53927e6 | − | 1.24543e6i | −0.573210 | − | 0.128879i | ||||
\(214\) | 3.43607e6 | − | 3.96543e6i | 0.350607 | − | 0.404622i | ||||
\(215\) | 1.20431e7 | + | 1.73154e6i | 1.21178 | + | 0.174228i | ||||
\(216\) | −1.99134e7 | − | 1.55661e7i | −1.97599 | − | 1.54461i | ||||
\(217\) | −7.82526e6 | − | 9.03083e6i | −0.765807 | − | 0.883789i | ||||
\(218\) | −1.32459e7 | − | 2.06110e7i | −1.27853 | − | 1.98943i | ||||
\(219\) | −2.97421e6 | + | 2.93309e6i | −0.283164 | + | 0.279250i | ||||
\(220\) | 4.90724e6 | + | 5.66325e6i | 0.460860 | + | 0.531861i | ||||
\(221\) | −4.49572e6 | − | 1.53110e7i | −0.416507 | − | 1.41849i | ||||
\(222\) | −1.11494e7 | + | 719464.i | −1.01904 | + | 0.0657582i | ||||
\(223\) | −6.29964e6 | + | 7.27017e6i | −0.568069 | + | 0.655586i | −0.964996 | − | 0.262264i | \(-0.915531\pi\) |
0.396927 | + | 0.917850i | \(0.370076\pi\) | |||||||
\(224\) | 2.58432e7 | + | 1.18022e7i | 2.29934 | + | 1.05007i | ||||
\(225\) | −2.83460e6 | + | 367361.i | −0.248854 | + | 0.0322511i | ||||
\(226\) | 925974. | + | 2.02760e6i | 0.0802183 | + | 0.175654i | ||||
\(227\) | −4.88354e6 | + | 702147.i | −0.417501 | + | 0.0600275i | −0.347864 | − | 0.937545i | \(-0.613093\pi\) |
−0.0696363 | + | 0.997572i | \(0.522184\pi\) | |||||||
\(228\) | 2.52428e7 | + | 9.61574e6i | 2.12977 | + | 0.811293i | ||||
\(229\) | 1.12518e7 | 0.936945 | 0.468472 | − | 0.883478i | \(-0.344805\pi\) | ||||
0.468472 | + | 0.883478i | \(0.344805\pi\) | |||||||
\(230\) | 5.17810e6 | + | 1.86154e7i | 0.425586 | + | 1.52999i | ||||
\(231\) | −1.38239e6 | − | 6.57472e6i | −0.112149 | − | 0.533386i | ||||
\(232\) | 4.12828e7 | + | 2.65309e7i | 3.30602 | + | 2.12465i | ||||
\(233\) | 1.87546e7 | − | 2.69650e6i | 1.48265 | − | 0.213174i | 0.647026 | − | 0.762468i | \(-0.276013\pi\) |
0.835629 | + | 0.549295i | \(0.185104\pi\) | |||||||
\(234\) | −2.32540e7 | + | 2.60937e7i | −1.81489 | + | 2.03652i | ||||
\(235\) | −1.36390e7 | − | 4.00478e6i | −1.05094 | − | 0.308585i | ||||
\(236\) | −2.55332e7 | − | 1.16606e7i | −1.94254 | − | 0.887128i | ||||
\(237\) | 5.74883e6 | − | 1.03562e7i | 0.431852 | − | 0.777956i | ||||
\(238\) | 5.55415e6 | − | 3.86299e7i | 0.411990 | − | 2.86545i | ||||
\(239\) | 4.50258e6 | + | 1.53344e7i | 0.329813 | + | 1.12324i | 0.942859 | + | 0.333193i | \(0.108126\pi\) |
−0.613046 | + | 0.790047i | \(0.710056\pi\) | |||||||
\(240\) | 1.61749e7 | − | 2.12966e7i | 1.17006 | − | 1.54055i | ||||
\(241\) | −619287. | + | 397992.i | −0.0442426 | + | 0.0284330i | −0.562575 | − | 0.826746i | \(-0.690189\pi\) |
0.518333 | + | 0.855179i | \(0.326553\pi\) | |||||||
\(242\) | 1.24001e7 | + | 1.92949e7i | 0.874939 | + | 1.36143i | ||||
\(243\) | 1.41186e7 | − | 2.56043e6i | 0.983951 | − | 0.178441i | ||||
\(244\) | −1.59429e7 | + | 4.68125e6i | −1.09748 | + | 0.322249i | ||||
\(245\) | 1.91127e7 | + | 2.74799e6i | 1.29964 | + | 0.186860i | ||||
\(246\) | 1.04415e7 | − | 1.88099e7i | 0.701390 | − | 1.26351i | ||||
\(247\) | 8.96121e6 | − | 1.96223e7i | 0.594670 | − | 1.30214i | ||||
\(248\) | −7.94424e6 | + | 2.70556e7i | −0.520832 | + | 1.77379i | ||||
\(249\) | 2.45745e7 | − | 1.81307e7i | 1.59179 | − | 1.17440i | ||||
\(250\) | −4.41751e6 | − | 3.07244e7i | −0.282721 | − | 1.96636i | ||||
\(251\) | −1.58021e7 | + | 2.45886e7i | −0.999297 | + | 1.55494i | −0.178323 | + | 0.983972i | \(0.557067\pi\) |
−0.820975 | + | 0.570965i | \(0.806569\pi\) | |||||||
\(252\) | −5.50045e7 | + | 2.42002e7i | −3.43714 | + | 1.51223i | ||||
\(253\) | −712967. | − | 5.51764e6i | −0.0440259 | − | 0.340715i | ||||
\(254\) | − | 4.90818e7i | − | 2.99516i | ||||||
\(255\) | −1.33362e7 | − | 5.08016e6i | −0.804289 | − | 0.306377i | ||||
\(256\) | 3.09043e6 | + | 2.14944e7i | 0.184204 | + | 1.28117i | ||||
\(257\) | 1.04144e7 | − | 4.75612e6i | 0.613531 | − | 0.280190i | −0.0843137 | − | 0.996439i | \(-0.526870\pi\) |
0.697845 | + | 0.716249i | \(0.254143\pi\) | |||||||
\(258\) | −3.48920e6 | + | 4.44369e7i | −0.203173 | + | 2.58753i | ||||
\(259\) | −6.37251e6 | + | 1.39538e7i | −0.366785 | + | 0.803146i | ||||
\(260\) | −4.04521e7 | − | 3.50519e7i | −2.30155 | − | 1.99431i | ||||
\(261\) | −2.68370e7 | + | 7.47592e6i | −1.50943 | + | 0.420478i | ||||
\(262\) | −6.40907e6 | + | 1.88187e6i | −0.356362 | + | 0.104637i | ||||
\(263\) | −3.32353e6 | + | 2.87985e6i | −0.182697 | + | 0.158308i | −0.741408 | − | 0.671055i | \(-0.765842\pi\) |
0.558711 | + | 0.829363i | \(0.311296\pi\) | |||||||
\(264\) | −1.12882e7 | + | 1.11321e7i | −0.613496 | + | 0.605015i | ||||
\(265\) | 2.27406e6 | − | 1.46145e6i | 0.122198 | − | 0.0785320i | ||||
\(266\) | 3.98719e7 | − | 3.45492e7i | 2.11847 | − | 1.83566i | ||||
\(267\) | −229341. | − | 427047.i | −0.0120489 | − | 0.0224358i | ||||
\(268\) | −3.56159e6 | + | 2.47714e7i | −0.185029 | + | 1.28690i | ||||
\(269\) | 2.37204e6 | + | 2.05538e6i | 0.121861 | + | 0.105593i | 0.713659 | − | 0.700493i | \(-0.247036\pi\) |
−0.591798 | + | 0.806086i | \(0.701582\pi\) | |||||||
\(270\) | 6.00528e6 | + | 3.06759e7i | 0.305100 | + | 1.55850i | ||||
\(271\) | 1.10663e6 | + | 324935.i | 0.0556024 | + | 0.0163263i | 0.309415 | − | 0.950927i | \(-0.399867\pi\) |
−0.253813 | + | 0.967253i | \(0.581685\pi\) | |||||||
\(272\) | −4.06874e7 | + | 1.85813e7i | −2.02187 | + | 0.923357i | ||||
\(273\) | 1.64573e7 | + | 4.50793e7i | 0.808853 | + | 2.21559i | ||||
\(274\) | −4.72886e7 | − | 3.03905e7i | −2.29882 | − | 1.47736i | ||||
\(275\) | 1.79286e6i | 0.0862082i | ||||||||
\(276\) | −4.69838e7 | + | 1.63953e7i | −2.23471 | + | 0.779814i | ||||
\(277\) | −1.79354e7 | −0.843865 | −0.421932 | − | 0.906627i | \(-0.638648\pi\) | ||||
−0.421932 | + | 0.906627i | \(0.638648\pi\) | |||||||
\(278\) | 8.33620e6 | − | 1.29714e7i | 0.388002 | − | 0.603742i | ||||
\(279\) | −8.46626e6 | − | 1.35859e7i | −0.389833 | − | 0.625569i | ||||
\(280\) | −3.14052e7 | − | 6.87678e7i | −1.43063 | − | 3.13264i | ||||
\(281\) | −7.80220e6 | + | 2.65718e7i | −0.351640 | + | 1.19757i | 0.573900 | + | 0.818925i | \(0.305430\pi\) |
−0.925540 | + | 0.378650i | \(0.876389\pi\) | |||||||
\(282\) | 1.14234e7 | − | 5.08076e7i | 0.509389 | − | 2.26559i | ||||
\(283\) | 2.74435e6 | − | 3.16715e6i | 0.121082 | − | 0.139736i | −0.691972 | − | 0.721924i | \(-0.743258\pi\) |
0.813054 | + | 0.582188i | \(0.197803\pi\) | |||||||
\(284\) | 3.15288e7 | + | 4.53316e6i | 1.37643 | + | 0.197900i | ||||
\(285\) | −9.12762e6 | − | 1.69961e7i | −0.394297 | − | 0.734203i | ||||
\(286\) | 1.43568e7 | + | 1.65686e7i | 0.613704 | + | 0.708252i | ||||
\(287\) | −1.59698e7 | − | 2.48494e7i | −0.675542 | − | 1.05116i | ||||
\(288\) | 3.17285e7 | + | 2.10204e7i | 1.32822 | + | 0.879959i | ||||
\(289\) | −175502. | − | 202540.i | −0.00727089 | − | 0.00839105i | ||||
\(290\) | −1.70980e7 | − | 5.82304e7i | −0.701053 | − | 2.38757i | ||||
\(291\) | −86924.5 | − | 1.34705e6i | −0.00352747 | − | 0.0546644i | ||||
\(292\) | 1.53470e7 | − | 1.77114e7i | 0.616416 | − | 0.711382i | ||||
\(293\) | −1.78567e7 | − | 8.15486e6i | −0.709900 | − | 0.324201i | 0.0275327 | − | 0.999621i | \(-0.491235\pi\) |
−0.737433 | + | 0.675420i | \(0.763962\pi\) | |||||||
\(294\) | −5.53743e6 | + | 7.05223e7i | −0.217904 | + | 2.77514i | ||||
\(295\) | 8.32797e6 | + | 1.82357e7i | 0.324394 | + | 0.710324i | ||||
\(296\) | 3.58303e7 | − | 5.15162e6i | 1.38158 | − | 0.198641i | ||||
\(297\) | −454510. | − | 8.98881e6i | −0.0173490 | − | 0.343110i | ||||
\(298\) | 2.61463e7 | 0.988011 | ||||||||
\(299\) | 1.06497e7 | + | 3.82860e7i | 0.398405 | + | 1.43228i | ||||
\(300\) | 1.56929e7 | − | 3.29958e6i | 0.581220 | − | 0.122206i | ||||
\(301\) | 5.14850e7 | + | 3.30874e7i | 1.88791 | + | 1.21329i | ||||
\(302\) | −3.94379e7 | + | 5.67031e6i | −1.43184 | + | 0.205867i | ||||
\(303\) | 1.40484e6 | − | 1.03647e6i | 0.0505008 | − | 0.0372588i | ||||
\(304\) | −5.80174e7 | − | 1.70354e7i | −2.06508 | − | 0.606363i | ||||
\(305\) | 1.07946e7 | + | 4.92974e6i | 0.380459 | + | 0.173750i | ||||
\(306\) | 1.54264e7 | − | 4.99544e7i | 0.538392 | − | 1.74345i | ||||
\(307\) | −7.94684e6 | + | 5.52715e7i | −0.274650 | + | 1.91023i | 0.122483 | + | 0.992471i | \(0.460914\pi\) |
−0.397133 | + | 0.917761i | \(0.629995\pi\) | |||||||
\(308\) | 1.06193e7 | + | 3.61661e7i | 0.363451 | + | 1.23780i | ||||
\(309\) | −1.34014e7 | − | 1.01784e7i | −0.454228 | − | 0.344990i | ||||
\(310\) | 2.93364e7 | − | 1.88534e7i | 0.984741 | − | 0.632855i | ||||
\(311\) | 2.42234e7 | + | 3.76923e7i | 0.805291 | + | 1.25306i | 0.964045 | + | 0.265740i | \(0.0856161\pi\) |
−0.158753 | + | 0.987318i | \(0.550747\pi\) | |||||||
\(312\) | 6.84933e7 | − | 9.01812e7i | 2.25519 | − | 2.96929i | ||||
\(313\) | −3.60943e6 | + | 1.05982e6i | −0.117708 | + | 0.0345621i | −0.340056 | − | 0.940405i | \(-0.610446\pi\) |
0.222348 | + | 0.974967i | \(0.428628\pi\) | |||||||
\(314\) | −4.85510e7 | − | 6.98058e6i | −1.56823 | − | 0.225477i | ||||
\(315\) | 4.10072e7 | + | 1.26634e7i | 1.31198 | + | 0.405152i | ||||
\(316\) | −2.76058e7 | + | 6.04482e7i | −0.874860 | + | 1.91568i | ||||
\(317\) | −6.03944e6 | + | 2.05684e7i | −0.189592 | + | 0.645690i | 0.808752 | + | 0.588150i | \(0.200144\pi\) |
−0.998343 | + | 0.0575393i | \(0.981675\pi\) | |||||||
\(318\) | 5.87940e6 | + | 7.96897e6i | 0.182832 | + | 0.247811i | ||||
\(319\) | 2.48686e6 | + | 1.72965e7i | 0.0766088 | + | 0.532826i | ||||
\(320\) | −1.05537e7 | + | 1.64219e7i | −0.322075 | + | 0.501158i | ||||
\(321\) | −1.98579e6 | − | 9.44452e6i | −0.0600370 | − | 0.285539i | ||||
\(322\) | −1.52056e7 | + | 9.59947e7i | −0.455445 | + | 2.87528i | ||||
\(323\) | 3.22676e7i | 0.957545i | ||||||||
\(324\) | −7.78427e7 | + | 2.05213e7i | −2.28867 | + | 0.603351i | ||||
\(325\) | −1.82252e6 | − | 1.26759e7i | −0.0530910 | − | 0.369256i | ||||
\(326\) | 5.89679e7 | − | 2.69297e7i | 1.70201 | − | 0.777283i | ||||
\(327\) | −4.49261e7 | − | 3.52760e6i | −1.28486 | − | 0.100887i | ||||
\(328\) | −2.89559e7 | + | 6.34046e7i | −0.820570 | + | 1.79680i | ||||
\(329\) | −5.40370e7 | − | 4.68233e7i | −1.51741 | − | 1.31485i | ||||
\(330\) | 1.95659e7 | − | 1.26258e6i | 0.544449 | − | 0.0351331i | ||||
\(331\) | 4.67623e7 | − | 1.37307e7i | 1.28947 | − | 0.378623i | 0.436087 | − | 0.899904i | \(-0.356364\pi\) |
0.853385 | + | 0.521281i | \(0.174546\pi\) | |||||||
\(332\) | −1.29486e8 | + | 1.12200e8i | −3.53841 | + | 3.06605i | ||||
\(333\) | −1.13498e7 | + | 1.71315e7i | −0.307365 | + | 0.463941i | ||||
\(334\) | 7.69701e7 | − | 4.94657e7i | 2.06577 | − | 1.32759i | ||||
\(335\) | 1.35079e7 | − | 1.17047e7i | 0.359297 | − | 0.311333i | ||||
\(336\) | 1.18509e8 | − | 6.36440e7i | 3.12415 | − | 1.67780i | ||||
\(337\) | 5.54738e6 | − | 3.85829e7i | 0.144943 | − | 1.00810i | −0.779396 | − | 0.626532i | \(-0.784474\pi\) |
0.924339 | − | 0.381571i | \(-0.124617\pi\) | |||||||
\(338\) | −6.48002e7 | − | 5.61497e7i | −1.67813 | − | 1.45411i | ||||
\(339\) | 4.00008e6 | + | 899366.i | 0.102676 | + | 0.0230854i | ||||
\(340\) | 7.68222e7 | + | 2.25570e7i | 1.95457 | + | 0.573912i | ||||
\(341\) | −9.13353e6 | + | 4.17114e6i | −0.230343 | + | 0.105194i | ||||
\(342\) | 5.99829e7 | − | 3.73793e7i | 1.49951 | − | 0.934443i | ||||
\(343\) | 2.78490e7 | + | 1.78975e7i | 0.690124 | + | 0.443516i | ||||
\(344\) | − | 1.44417e8i | − | 3.54768i | ||||||
\(345\) | 3.30277e7 | + | 1.31249e7i | 0.804305 | + | 0.319623i | ||||
\(346\) | −8.41762e7 | −2.03217 | ||||||||
\(347\) | 2.76240e7 | − | 4.29838e7i | 0.661147 | − | 1.02877i | −0.335098 | − | 0.942183i | \(-0.608769\pi\) |
0.996245 | − | 0.0865817i | \(-0.0275944\pi\) | |||||||
\(348\) | 1.46819e8 | − | 5.35999e7i | 3.48374 | − | 1.27182i | ||||
\(349\) | 9.36931e6 | + | 2.05159e7i | 0.220410 | + | 0.482631i | 0.987244 | − | 0.159215i | \(-0.0508963\pi\) |
−0.766834 | + | 0.641846i | \(0.778169\pi\) | |||||||
\(350\) | 8.82395e6 | − | 3.00516e7i | 0.205806 | − | 0.700912i | ||||
\(351\) | 1.23510e7 | + | 6.30906e7i | 0.285614 | + | 1.45896i | ||||
\(352\) | 1.56334e7 | − | 1.80419e7i | 0.358447 | − | 0.413670i | ||||
\(353\) | −5.12201e7 | − | 7.36434e6i | −1.16444 | − | 0.167421i | −0.467127 | − | 0.884190i | \(-0.654711\pi\) |
−0.697311 | + | 0.716769i | \(0.745620\pi\) | |||||||
\(354\) | −6.47033e7 | + | 3.47483e7i | −1.45853 | + | 0.783292i | ||||
\(355\) | −1.48976e7 | − | 1.71928e7i | −0.332990 | − | 0.384291i | ||||
\(356\) | 1.47028e6 | + | 2.28781e6i | 0.0325875 | + | 0.0507071i | ||||
\(357\) | −5.04045e7 | − | 5.11110e7i | −1.10781 | − | 1.12334i | ||||
\(358\) | 1.00730e8 | + | 1.16249e8i | 2.19539 | + | 2.53361i | ||||
\(359\) | 1.20188e7 | + | 4.09322e7i | 0.259763 | + | 0.884671i | 0.981331 | + | 0.192328i | \(0.0616036\pi\) |
−0.721568 | + | 0.692344i | \(0.756578\pi\) | |||||||
\(360\) | −2.71773e7 | − | 9.75610e7i | −0.582505 | − | 2.09107i | ||||
\(361\) | 2.24327e6 | − | 2.58887e6i | 0.0476826 | − | 0.0550286i | ||||
\(362\) | 1.23181e8 | + | 5.62551e7i | 2.59669 | + | 1.18587i | ||||
\(363\) | 4.20573e7 | + | 3.30235e6i | 0.879268 | + | 0.0690404i | ||||
\(364\) | −1.11845e8 | − | 2.44907e8i | −2.31907 | − | 5.07805i | ||||
\(365\) | −1.65671e7 | + | 2.38199e6i | −0.340697 | + | 0.0489849i | ||||
\(366\) | −1.54760e7 | + | 4.06270e7i | −0.315658 | + | 0.828651i | ||||
\(367\) | −4.73907e7 | −0.958727 | −0.479364 | − | 0.877616i | \(-0.659133\pi\) | ||||
−0.479364 | + | 0.877616i | \(0.659133\pi\) | |||||||
\(368\) | 1.01977e8 | − | 4.48208e7i | 2.04625 | − | 0.899366i | ||||
\(369\) | −1.59357e7 | − | 3.62202e7i | −0.317170 | − | 0.720894i | ||||
\(370\) | −3.76604e7 | − | 2.42029e7i | −0.743499 | − | 0.477818i | ||||
\(371\) | 1.34587e7 | − | 1.93508e6i | 0.263562 | − | 0.0378945i | ||||
\(372\) | 5.33194e7 | + | 7.22694e7i | 1.03575 | + | 1.40387i | ||||
\(373\) | −7.90182e7 | − | 2.32018e7i | −1.52265 | − | 0.447091i | −0.589860 | − | 0.807506i | \(-0.700817\pi\) |
−0.932792 | + | 0.360415i | \(0.882635\pi\) | |||||||
\(374\) | −2.98302e7 | − | 1.36230e7i | −0.570218 | − | 0.260410i | ||||
\(375\) | −4.99183e7 | − | 2.77102e7i | −0.946599 | − | 0.525467i | ||||
\(376\) | −2.40120e7 | + | 1.67007e8i | −0.451716 | + | 3.14175i | ||||
\(377\) | −3.51651e7 | − | 1.19761e8i | −0.656278 | − | 2.23508i | ||||
\(378\) | −3.66219e7 | + | 1.52906e8i | −0.678057 | + | 2.83106i | ||||
\(379\) | −3.44012e6 | + | 2.21083e6i | −0.0631911 | + | 0.0406105i | −0.571855 | − | 0.820355i | \(-0.693776\pi\) |
0.508664 | + | 0.860965i | \(0.330140\pi\) | |||||||
\(380\) | 5.85162e7 | + | 9.10530e7i | 1.06641 | + | 1.65937i | ||||
\(381\) | −7.18929e7 | − | 5.46032e7i | −1.29990 | − | 0.987287i | ||||
\(382\) | −1.11836e8 | + | 3.28379e7i | −2.00628 | + | 0.589096i | ||||
\(383\) | 4.51701e7 | + | 6.49448e6i | 0.803998 | + | 0.115597i | 0.532048 | − | 0.846714i | \(-0.321423\pi\) |
0.271950 | + | 0.962312i | \(0.412332\pi\) | |||||||
\(384\) | 1.63510e7 | + | 9.07661e6i | 0.288769 | + | 0.160299i | ||||
\(385\) | 1.11830e7 | − | 2.44874e7i | 0.195964 | − | 0.429102i | ||||
\(386\) | −2.00702e7 | + | 6.83527e7i | −0.348971 | + | 1.18848i | ||||
\(387\) | 6.12076e7 | + | 5.45466e7i | 1.05602 | + | 0.941098i | ||||
\(388\) | 1.07777e6 | + | 7.49604e6i | 0.0184514 | + | 0.128333i | ||||
\(389\) | −4.86724e6 | + | 7.57358e6i | −0.0826865 | + | 0.128663i | −0.880133 | − | 0.474726i | \(-0.842547\pi\) |
0.797447 | + | 0.603389i | \(0.206183\pi\) | |||||||
\(390\) | −1.37051e8 | + | 2.88162e7i | −2.31041 | + | 0.485783i | ||||
\(391\) | −3.82812e7 | − | 4.54764e7i | −0.640405 | − | 0.760775i | ||||
\(392\) | − | 2.29194e8i | − | 3.80491i | ||||||
\(393\) | −4.37357e6 | + | 1.14813e7i | −0.0720540 | + | 0.189153i | ||||
\(394\) | 5.89109e6 | + | 4.09735e7i | 0.0963179 | + | 0.669906i | ||||
\(395\) | 4.31718e7 | − | 1.97159e7i | 0.700501 | − | 0.319908i | ||||
\(396\) | 6.48978e6 | + | 5.00759e7i | 0.104507 | + | 0.806387i | ||||
\(397\) | 5.63232e6 | − | 1.23331e7i | 0.0900153 | − | 0.197106i | −0.859270 | − | 0.511523i | \(-0.829082\pi\) |
0.949285 | + | 0.314417i | \(0.101809\pi\) | |||||||
\(398\) | 5.94894e7 | + | 5.15478e7i | 0.943605 | + | 0.817638i | ||||
\(399\) | −6.24894e6 | − | 9.68385e7i | −0.0983757 | − | 1.52451i | ||||
\(400\) | −3.44425e7 | + | 1.01132e7i | −0.538164 | + | 0.158019i | ||||
\(401\) | 1.05397e7 | − | 9.13266e6i | 0.163453 | − | 0.141633i | −0.569294 | − | 0.822134i | \(-0.692783\pi\) |
0.732747 | + | 0.680501i | \(0.238238\pi\) | |||||||
\(402\) | 4.59778e7 | + | 4.66222e7i | 0.707734 | + | 0.717654i | ||||
\(403\) | 6.03357e7 | − | 3.87754e7i | 0.921848 | − | 0.592436i | ||||
\(404\) | −7.40224e6 | + | 6.41408e6i | −0.112259 | + | 0.0972726i | ||||
\(405\) | 5.16136e7 | + | 2.53305e7i | 0.776961 | + | 0.381310i | ||||
\(406\) | 4.34440e7 | − | 3.02160e8i | 0.649160 | − | 4.51501i | ||||
\(407\) | 9.74158e6 | + | 8.44113e6i | 0.144493 | + | 0.125204i | ||||
\(408\) | −3.71580e7 | + | 1.65267e8i | −0.547106 | + | 2.43335i | ||||
\(409\) | 4.10491e7 | + | 1.20531e7i | 0.599975 | + | 0.176169i | 0.567596 | − | 0.823307i | \(-0.307873\pi\) |
0.0323790 | + | 0.999476i | \(0.489692\pi\) | |||||||
\(410\) | 7.84125e7 | − | 3.58098e7i | 1.13772 | − | 0.519578i | ||||
\(411\) | −9.71230e7 | + | 3.54570e7i | −1.39893 | + | 0.510713i | ||||
\(412\) | 7.94257e7 | + | 5.10438e7i | 1.13572 | + | 0.729880i | ||||
\(413\) | 1.00839e8i | 1.43146i | ||||||||
\(414\) | −4.01915e7 | + | 1.23842e8i | −0.566414 | + | 1.74529i | ||||
\(415\) | 1.22366e8 | 1.71205 | ||||||||
\(416\) | −9.21909e7 | + | 1.43452e8i | −1.28058 | + | 1.99263i | ||||
\(417\) | −9.72595e6 | − | 2.66411e7i | −0.134129 | − | 0.367404i | ||||
\(418\) | −1.84160e7 | − | 4.03254e7i | −0.252154 | − | 0.552140i | ||||
\(419\) | −3.85483e7 | + | 1.31283e8i | −0.524038 | + | 1.78471i | 0.0905832 | + | 0.995889i | \(0.471127\pi\) |
−0.614622 | + | 0.788822i | \(0.710691\pi\) | |||||||
\(420\) | −2.34920e8 | − | 5.28187e7i | −3.17082 | − | 0.712918i | ||||
\(421\) | 5.04987e7 | − | 5.82786e7i | 0.676759 | − | 0.781021i | −0.308659 | − | 0.951173i | \(-0.599880\pi\) |
0.985418 | + | 0.170151i | \(0.0544257\pi\) | |||||||
\(422\) | −6.26884e7 | − | 9.01323e6i | −0.834161 | − | 0.119934i | ||||
\(423\) | −6.17124e7 | − | 7.32558e7i | −0.815363 | − | 0.967878i | ||||
\(424\) | −2.10118e7 | − | 2.42489e7i | −0.275654 | − | 0.318122i | ||||
\(425\) | 1.03565e7 | + | 1.61150e7i | 0.134910 | + | 0.209925i | ||||
\(426\) | 5.93404e7 | − | 5.85202e7i | 0.767577 | − | 0.756967i | ||||
\(427\) | 3.90897e7 | + | 4.51120e7i | 0.502087 | + | 0.579439i | ||||
\(428\) | 1.52546e7 | + | 5.19523e7i | 0.194567 | + | 0.662634i | ||||
\(429\) | 4.02408e7 | − | 2.59672e6i | 0.509677 | − | 0.0328892i | ||||
\(430\) | −1.16959e8 | + | 1.34978e8i | −1.47105 | + | 1.69769i | ||||
\(431\) | −3.26843e7 | − | 1.49264e7i | −0.408232 | − | 0.186433i | 0.200705 | − | 0.979652i | \(-0.435677\pi\) |
−0.608937 | + | 0.793218i | \(0.708404\pi\) | |||||||
\(432\) | 1.70119e8 | − | 5.94360e7i | 2.11010 | − | 0.737221i | ||||
\(433\) | 477273. | + | 1.04508e6i | 0.00587899 | + | 0.0128732i | 0.912549 | − | 0.408968i | \(-0.134111\pi\) |
−0.906670 | + | 0.421841i | \(0.861384\pi\) | |||||||
\(434\) | 1.73624e8 | − | 2.49633e7i | 2.12393 | − | 0.305375i | ||||
\(435\) | −1.04315e8 | − | 3.97365e7i | −1.26730 | − | 0.482750i | ||||
\(436\) | 2.52826e8 | 3.05044 | ||||||||
\(437\) | 1.14873e6 | − | 8.03496e7i | 0.0137649 | − | 0.962807i | ||||
\(438\) | −1.26167e7 | − | 6.00058e7i | −0.150150 | − | 0.714120i | ||||
\(439\) | −4.09225e7 | − | 2.62993e7i | −0.483692 | − | 0.310850i | 0.275972 | − | 0.961166i | \(-0.411000\pi\) |
−0.759664 | + | 0.650316i | \(0.774637\pi\) | |||||||
\(440\) | −6.28781e7 | + | 9.04051e6i | −0.738145 | + | 0.106129i | ||||
\(441\) | 9.71377e7 | + | 8.65667e7i | 1.13259 | + | 1.00933i | ||||
\(442\) | 2.24754e8 | + | 6.59936e7i | 2.60279 | + | 0.764250i | ||||
\(443\) | −1.66972e7 | − | 7.62535e6i | −0.192058 | − | 0.0877100i | 0.317065 | − | 0.948404i | \(-0.397303\pi\) |
−0.509123 | + | 0.860694i | \(0.670030\pi\) | |||||||
\(444\) | 5.59569e7 | − | 1.00803e8i | 0.639301 | − | 1.15166i | ||||
\(445\) | 276413. | − | 1.92250e6i | 0.00313674 | − | 0.0218165i | ||||
\(446\) | −3.97838e7 | − | 1.35491e8i | −0.448437 | − | 1.52724i | ||||
\(447\) | 2.90876e7 | − | 3.82980e7i | 0.325676 | − | 0.428799i | ||||
\(448\) | −8.26032e7 | + | 5.30859e7i | −0.918677 | + | 0.590398i | ||||
\(449\) | −3.46012e7 | − | 5.38405e7i | −0.382254 | − | 0.594798i | 0.595805 | − | 0.803129i | \(-0.296833\pi\) |
−0.978058 | + | 0.208331i | \(0.933197\pi\) | |||||||
\(450\) | 1.79594e7 | − | 3.79197e7i | 0.197085 | − | 0.416129i | ||||
\(451\) | −2.38152e7 | + | 6.99278e6i | −0.259612 | + | 0.0762290i | ||||
\(452\) | −2.27680e7 | − | 3.27354e6i | −0.246552 | − | 0.0354488i | ||||
\(453\) | −3.55688e7 | + | 6.40752e7i | −0.382626 | + | 0.689279i | ||||
\(454\) | 3.00859e7 | − | 6.58789e7i | 0.321510 | − | 0.704010i | ||||
\(455\) | −5.41737e7 | + | 1.84499e8i | −0.575115 | + | 1.95866i | ||||
\(456\) | −1.84266e8 | + | 1.35949e8i | −1.94335 | + | 1.43378i | ||||
\(457\) | −3.03187e6 | − | 2.10871e7i | −0.0317660 | − | 0.220937i | 0.967755 | − | 0.251894i | \(-0.0810535\pi\) |
−0.999521 | + | 0.0309572i | \(0.990144\pi\) | |||||||
\(458\) | −8.92960e7 | + | 1.38947e8i | −0.929470 | + | 1.44628i | ||||
\(459\) | −5.60093e7 | − | 7.81698e7i | −0.579191 | − | 0.808353i | ||||
\(460\) | −1.90492e8 | − | 5.89042e7i | −1.95706 | − | 0.605163i | ||||
\(461\) | − | 8.46738e7i | − | 0.864263i | −0.901810 | − | 0.432132i | \(-0.857762\pi\) | ||
0.901810 | − | 0.432132i | \(-0.142238\pi\) | |||||||
\(462\) | 9.21618e7 | + | 3.51071e7i | 0.934598 | + | 0.356016i | ||||
\(463\) | −1.39540e7 | − | 9.70522e7i | −0.140590 | − | 0.977828i | −0.930940 | − | 0.365172i | \(-0.881010\pi\) |
0.790350 | − | 0.612656i | \(-0.209899\pi\) | |||||||
\(464\) | −3.18253e8 | + | 1.45341e8i | −3.18580 | + | 1.45491i | ||||
\(465\) | 5.02098e6 | − | 6.39450e7i | 0.0499378 | − | 0.635986i | ||||
\(466\) | −1.15541e8 | + | 2.52999e8i | −1.14177 | + | 2.50012i | ||||
\(467\) | 4.77569e7 | + | 4.13816e7i | 0.468906 | + | 0.406309i | 0.857005 | − | 0.515308i | \(-0.172323\pi\) |
−0.388099 | + | 0.921618i | \(0.626868\pi\) | |||||||
\(468\) | −9.67882e7 | − | 3.47450e8i | −0.944246 | − | 3.38964i | ||||
\(469\) | 8.62629e7 | − | 2.53291e7i | 0.836191 | − | 0.245528i | ||||
\(470\) | 1.57696e8 | − | 1.36645e8i | 1.51890 | − | 1.31613i | ||||
\(471\) | −6.42375e7 | + | 6.33496e7i | −0.614789 | + | 0.606291i | ||||
\(472\) | 2.00180e8 | − | 1.28648e8i | 1.90369 | − | 1.22343i | ||||
\(473\) | 3.88647e7 | − | 3.36765e7i | 0.367259 | − | 0.318231i | ||||
\(474\) | 8.22642e7 | + | 1.53181e8i | 0.772460 | + | 1.43836i | ||||
\(475\) | −3.68532e6 | + | 2.56320e7i | −0.0343870 | + | 0.239167i | ||||
\(476\) | 3.04365e8 | + | 2.63734e8i | 2.82211 | + | 2.44538i | ||||
\(477\) | 1.82134e7 | + | 253533.i | 0.167817 | + | 0.00233603i | ||||
\(478\) | −2.25097e8 | − | 6.60943e7i | −2.06103 | − | 0.605174i | ||||
\(479\) | −1.45370e8 | + | 6.63882e7i | −1.32272 | + | 0.604066i | −0.946571 | − | 0.322494i | \(-0.895479\pi\) |
−0.376148 | + | 0.926560i | \(0.622751\pi\) | |||||||
\(480\) | 5.22979e7 | + | 1.43253e8i | 0.472891 | + | 1.29533i | ||||
\(481\) | −7.74556e7 | − | 4.97777e7i | −0.696014 | − | 0.447301i | ||||
\(482\) | − | 1.08061e7i | − | 0.0964999i | ||||||
\(483\) | 1.23693e8 | + | 1.29066e8i | 1.09775 | + | 1.14544i | ||||
\(484\) | −2.36682e8 | −2.08751 | ||||||||
\(485\) | 2.92416e6 | − | 4.55008e6i | 0.0256316 | − | 0.0398835i | ||||
\(486\) | −8.04293e7 | + | 1.94670e8i | −0.700657 | + | 1.69586i | ||||
\(487\) | −7.68552e7 | − | 1.68289e8i | −0.665405 | − | 1.45703i | −0.877398 | − | 0.479763i | \(-0.840723\pi\) |
0.211993 | − | 0.977271i | \(-0.432005\pi\) | |||||||
\(488\) | 3.96841e7 | − | 1.35152e8i | 0.341473 | − | 1.16295i | ||||
\(489\) | 2.61559e7 | − | 1.16333e8i | 0.223688 | − | 0.994891i | ||||
\(490\) | −1.85616e8 | + | 2.14213e8i | −1.57771 | + | 1.82078i | ||||
\(491\) | −7.06682e7 | − | 1.01606e7i | −0.597007 | − | 0.0858367i | −0.162815 | − | 0.986657i | \(-0.552057\pi\) |
−0.434193 | + | 0.900820i | \(0.642966\pi\) | |||||||
\(492\) | 1.05037e8 | + | 1.95585e8i | 0.881959 | + | 1.64226i | ||||
\(493\) | 1.22266e8 | + | 1.41103e8i | 1.02039 | + | 1.17759i | ||||
\(494\) | 1.71197e8 | + | 2.66388e8i | 1.42009 | + | 2.20970i | ||||
\(495\) | 1.99175e7 | − | 3.00639e7i | 0.164218 | − | 0.247873i | ||||
\(496\) | −1.31652e8 | − | 1.51935e8i | −1.07891 | − | 1.24512i | ||||
\(497\) | −3.22387e7 | − | 1.09795e8i | −0.262608 | − | 0.894360i | ||||
\(498\) | 2.88678e7 | + | 4.47358e8i | 0.233736 | + | 3.62216i | ||||
\(499\) | 2.16399e7 | − | 2.49738e7i | 0.174162 | − | 0.200994i | −0.661957 | − | 0.749542i | \(-0.730274\pi\) |
0.836119 | + | 0.548548i | \(0.184819\pi\) | |||||||
\(500\) | 2.91369e8 | + | 1.33064e8i | 2.33095 | + | 1.06451i | ||||
\(501\) | 1.31736e7 | − | 1.67773e8i | 0.104759 | − | 1.33416i | ||||
\(502\) | −1.78235e8 | − | 3.90279e8i | −1.40890 | − | 3.08506i | ||||
\(503\) | −1.15781e8 | + | 1.66468e7i | −0.909774 | + | 0.130806i | −0.581283 | − | 0.813701i | \(-0.697449\pi\) |
−0.328491 | + | 0.944507i | \(0.606540\pi\) | |||||||
\(504\) | 7.95095e7 | − | 5.03178e8i | 0.621052 | − | 3.93034i | ||||
\(505\) | 6.99523e6 | 0.0543160 | ||||||||
\(506\) | 7.37952e7 | + | 3.49846e7i | 0.569609 | + | 0.270038i | ||||
\(507\) | −1.54335e8 | + | 3.24504e7i | −1.18425 | + | 0.248998i | ||||
\(508\) | 4.26087e8 | + | 2.73829e8i | 3.25017 | + | 2.08876i | ||||
\(509\) | 4.57836e7 | − | 6.58269e6i | 0.347182 | − | 0.0499172i | 0.0334817 | − | 0.999439i | \(-0.489340\pi\) |
0.313700 | + | 0.949522i | \(0.398431\pi\) | |||||||
\(510\) | 1.68573e8 | − | 1.24371e8i | 1.27080 | − | 0.937582i | ||||
\(511\) | −8.07801e7 | − | 2.37192e7i | −0.605399 | − | 0.177761i | ||||
\(512\) | −2.49636e8 | − | 1.14005e8i | −1.85994 | − | 0.849405i | ||||
\(513\) | 1.19790e7 | − | 1.29445e8i | 0.0887296 | − | 0.958809i | ||||
\(514\) | −2.39179e7 | + | 1.66353e8i | −0.176130 | + | 1.22501i | ||||
\(515\) | −1.89971e7 | − | 6.46983e7i | −0.139081 | − | 0.473665i | ||||
\(516\) | −3.66297e8 | − | 2.78205e8i | −2.66615 | − | 2.02496i | ||||
\(517\) | −5.05433e7 | + | 3.24822e7i | −0.365756 | + | 0.235057i | ||||
\(518\) | −1.21742e8 | − | 1.89434e8i | −0.875892 | − | 1.36291i | ||||
\(519\) | −9.36455e7 | + | 1.23298e8i | −0.669861 | + | 0.881968i | ||||
\(520\) | 4.35371e8 | − | 1.27836e8i | 3.09634 | − | 0.909168i | ||||
\(521\) | −7.28952e7 | − | 1.04807e7i | −0.515449 | − | 0.0741103i | −0.120318 | − | 0.992735i | \(-0.538392\pi\) |
−0.395130 | + | 0.918625i | \(0.629301\pi\) | |||||||
\(522\) | 1.20664e8 | − | 3.90739e8i | 0.848330 | − | 2.74710i | ||||
\(523\) | −5.65589e7 | + | 1.23847e8i | −0.395363 | + | 0.865725i | 0.602356 | + | 0.798227i | \(0.294229\pi\) |
−0.997719 | + | 0.0674973i | \(0.978499\pi\) | |||||||
\(524\) | 1.94196e7 | − | 6.61372e7i | 0.134973 | − | 0.459676i | ||||
\(525\) | −3.42017e7 | − | 4.63572e7i | −0.236358 | − | 0.320361i | ||||
\(526\) | −9.18700e6 | − | 6.38970e7i | −0.0631272 | − | 0.439059i | ||||
\(527\) | −5.80015e7 | + | 9.02520e7i | −0.396284 | + | 0.616631i | ||||
\(528\) | −2.32574e7 | − | 1.10613e8i | −0.158001 | − | 0.751459i | ||||
\(529\) | 9.37050e7 | + | 1.14604e8i | 0.632988 | + | 0.774162i | ||||
\(530\) | 3.96806e7i | 0.266533i | ||||||||
\(531\) | −2.10842e7 | + | 1.33432e8i | −0.140823 | + | 0.891202i | ||||
\(532\) | 7.74800e7 | + | 5.38885e8i | 0.514582 | + | 3.57900i | ||||
\(533\) | 1.61270e8 | − | 7.36494e7i | 1.06505 | − | 0.486394i | ||||
\(534\) | 7.09367e6 | + | 556996.i | 0.0465851 | + | 0.00365787i | ||||
\(535\) | 1.60643e7 | − | 3.51759e7i | 0.104906 | − | 0.229712i | ||||
\(536\) | −1.60334e8 | − | 1.38930e8i | −1.04119 | − | 0.902199i | ||||
\(537\) | 2.82339e8 | − | 1.82192e7i | 1.82326 | − | 0.117654i | ||||
\(538\) | −4.42067e7 | + | 1.29803e7i | −0.283884 | + | 0.0833559i | ||||
\(539\) | 6.16791e7 | − | 5.34453e7i | 0.393887 | − | 0.341305i | ||||
\(540\) | −2.99806e8 | − | 1.19009e8i | −1.90396 | − | 0.755787i | ||||
\(541\) | −1.39353e8 | + | 8.95568e7i | −0.880085 | + | 0.565596i | −0.900822 | − | 0.434189i | \(-0.857035\pi\) |
0.0207368 | + | 0.999785i | \(0.493399\pi\) | |||||||
\(542\) | −1.27950e7 | + | 1.10869e7i | −0.0803604 | + | 0.0696327i | ||||
\(543\) | 2.19439e8 | − | 1.17847e8i | 1.37061 | − | 0.736073i | ||||
\(544\) | 3.63004e7 | − | 2.52475e8i | 0.225484 | − | 1.56827i | ||||
\(545\) | −1.36464e8 | − | 1.18246e8i | −0.843000 | − | 0.730463i | ||||
\(546\) | −6.87290e8 | − | 1.54528e8i | −4.22242 | − | 0.949356i | ||||
\(547\) | −1.30886e8 | − | 3.84317e7i | −0.799709 | − | 0.234816i | −0.143752 | − | 0.989614i | \(-0.545917\pi\) |
−0.655957 | + | 0.754798i | \(0.727735\pi\) | |||||||
\(548\) | 5.27649e8 | − | 2.40969e8i | 3.20630 | − | 1.46427i | ||||
\(549\) | 4.22918e7 | + | 6.78659e7i | 0.255587 | + | 0.410143i | ||||
\(550\) | −2.21399e7 | − | 1.42285e7i | −0.133072 | − | 0.0855204i | ||||
\(551\) | 2.52394e8i | 1.50878i | ||||||||
\(552\) | 9.84107e7 | − | 4.10207e8i | 0.585093 | − | 2.43886i | ||||
\(553\) | 2.38730e8 | 1.41166 | ||||||||
\(554\) | 1.42339e8 | − | 2.21484e8i | 0.837133 | − | 1.30260i | ||||
\(555\) | −7.73484e7 | + | 2.82378e7i | −0.452452 | + | 0.165178i | ||||
\(556\) | 6.60985e7 | + | 1.44736e8i | 0.384563 | + | 0.842075i | ||||
\(557\) | 2.46192e7 | − | 8.38453e7i | 0.142465 | − | 0.485191i | −0.857085 | − | 0.515174i | \(-0.827727\pi\) |
0.999550 | + | 0.0299830i | \(0.00954533\pi\) | |||||||
\(558\) | 2.34961e8 | + | 3.27069e6i | 1.35236 | + | 0.0188251i | ||||
\(559\) | −2.40548e8 | + | 2.77607e8i | −1.37710 | + | 1.58926i | ||||
\(560\) | 5.33507e8 | + | 7.67068e7i | 3.03792 | + | 0.436787i | ||||
\(561\) | −5.31403e7 | + | 2.85385e7i | −0.300978 | + | 0.161638i | ||||
\(562\) | −2.66214e8 | − | 3.07228e8i | −1.49976 | − | 1.73082i | ||||
\(563\) | −2.49876e7 | − | 3.88815e7i | −0.140023 | − | 0.217880i | 0.764158 | − | 0.645029i | \(-0.223155\pi\) |
−0.904182 | + | 0.427148i | \(0.859518\pi\) | |||||||
\(564\) | 3.77337e8 | + | 3.82626e8i | 2.10326 | + | 2.13274i | ||||
\(565\) | 1.07580e7 | + | 1.24154e7i | 0.0596468 | + | 0.0688361i | ||||
\(566\) | 1.73313e7 | + | 5.90248e7i | 0.0955830 | + | 0.325526i | ||||
\(567\) | 1.83228e8 | + | 2.23749e8i | 1.00518 | + | 1.22747i | ||||
\(568\) | −1.76829e8 | + | 2.04072e8i | −0.964960 | + | 1.11362i | ||||
\(569\) | −1.57234e8 | − | 7.18065e7i | −0.853513 | − | 0.389787i | −0.0598967 | − | 0.998205i | \(-0.519077\pi\) |
−0.793617 | + | 0.608418i | \(0.791804\pi\) | |||||||
\(570\) | 2.82323e8 | + | 2.21680e7i | 1.52448 | + | 0.119702i | ||||
\(571\) | 9.31660e7 | + | 2.04005e8i | 0.500437 | + | 1.09580i | 0.976327 | + | 0.216299i | \(0.0693986\pi\) |
−0.475890 | + | 0.879505i | \(0.657874\pi\) | |||||||
\(572\) | −2.23931e8 | + | 3.21965e7i | −1.19654 | + | 0.172036i | ||||
\(573\) | −7.63170e7 | + | 2.00344e8i | −0.405655 | + | 1.06491i | ||||
\(574\) | 4.33603e8 | 2.29275 | ||||||||
\(575\) | −2.52150e7 | − | 4.04967e7i | −0.132634 | − | 0.213018i | ||||
\(576\) | −1.20401e8 | + | 5.29727e7i | −0.630034 | + | 0.277194i | ||||
\(577\) | 1.06183e8 | + | 6.82394e7i | 0.552746 | + | 0.355228i | 0.787006 | − | 0.616946i | \(-0.211630\pi\) |
−0.234260 | + | 0.972174i | \(0.575267\pi\) | |||||||
\(578\) | 3.89396e6 | − | 559867.i | 0.0201655 | − | 0.00289936i | ||||
\(579\) | 7.77921e7 | + | 1.05440e8i | 0.400774 | + | 0.543212i | ||||
\(580\) | 6.00897e8 | + | 1.76439e8i | 3.07975 | + | 0.904297i | ||||
\(581\) | 5.59885e8 | + | 2.55691e8i | 2.85477 | + | 1.30373i | ||||
\(582\) | 1.73245e7 | + | 9.61700e6i | 0.0878802 | + | 0.0487832i | ||||
\(583\) | 1.62600e6 | − | 1.13091e7i | 0.00820570 | − | 0.0570719i | ||||
\(584\) | 5.59713e7 | + | 1.90621e8i | 0.281013 | + | 0.957043i | ||||
\(585\) | −1.10260e8 | + | 2.32804e8i | −0.550744 | + | 1.16285i | ||||
\(586\) | 2.42418e8 | − | 1.55792e8i | 1.20468 | − | 0.774200i | ||||
\(587\) | 1.03830e8 | + | 1.61563e8i | 0.513345 | + | 0.798780i | 0.997074 | − | 0.0764373i | \(-0.0243545\pi\) |
−0.483730 | + | 0.875218i | \(0.660718\pi\) | |||||||
\(588\) | −5.81321e8 | − | 4.41518e8i | −2.85946 | − | 2.17178i | ||||
\(589\) | −1.39153e8 | + | 4.08591e7i | −0.681001 | + | 0.199960i | ||||
\(590\) | −2.91284e8 | − | 4.18803e7i | −1.41828 | − | 0.203917i | ||||
\(591\) | 6.65700e7 | + | 3.69537e7i | 0.322490 | + | 0.179017i | ||||
\(592\) | −1.07211e8 | + | 2.34760e8i | −0.516743 | + | 1.13151i | ||||
\(593\) | 2.57316e7 | − | 8.76338e7i | 0.123397 | − | 0.420250i | −0.874504 | − | 0.485019i | \(-0.838813\pi\) |
0.997900 | + | 0.0647687i | \(0.0206310\pi\) | |||||||
\(594\) | 1.14609e8 | + | 6.57241e7i | 0.546840 | + | 0.313592i | ||||
\(595\) | −4.09340e7 | − | 2.84702e8i | −0.194327 | − | 1.35157i | ||||
\(596\) | −1.45871e8 | + | 2.26980e8i | −0.689018 | + | 1.07213i | ||||
\(597\) | 1.41687e8 | − | 2.97908e7i | 0.665895 | − | 0.140010i | ||||
\(598\) | −5.57310e8 | − | 1.72332e8i | −2.60611 | − | 0.805865i | ||||
\(599\) | 2.10590e8i | 0.979846i | 0.871766 | + | 0.489923i | \(0.162975\pi\) | ||||
−0.871766 | + | 0.489923i | \(0.837025\pi\) | |||||||
\(600\) | −4.83920e7 | + | 1.27037e8i | −0.224037 | + | 0.588133i | ||||
\(601\) | −1.47637e7 | − | 1.02684e8i | −0.0680099 | − | 0.473019i | −0.995155 | − | 0.0983170i | \(-0.968654\pi\) |
0.927145 | − | 0.374702i | \(-0.122255\pi\) | |||||||
\(602\) | −8.17189e8 | + | 3.73198e8i | −3.74570 | + | 1.71060i | ||||
\(603\) | 1.19440e8 | − | 1.54793e7i | 0.544752 | − | 0.0705992i | ||||
\(604\) | 1.70801e8 | − | 3.74001e8i | 0.775137 | − | 1.69731i | ||||
\(605\) | 1.27750e8 | + | 1.10696e8i | 0.576891 | + | 0.499879i | ||||
\(606\) | 1.65027e6 | + | 2.55739e7i | 0.00741545 | + | 0.114916i | ||||
\(607\) | 1.40234e8 | − | 4.11765e7i | 0.627029 | − | 0.184112i | 0.0472460 | − | 0.998883i | \(-0.484956\pi\) |
0.579783 | + | 0.814771i | \(0.303137\pi\) | |||||||
\(608\) | 2.60592e8 | − | 2.25804e8i | 1.15945 | − | 1.00467i | ||||
\(609\) | −3.94260e8 | − | 3.99786e8i | −1.74554 | − | 1.77001i | ||||
\(610\) | −1.46545e8 | + | 9.41788e7i | −0.645627 | + | 0.414919i | ||||
\(611\) | 3.24332e8 | − | 2.81035e8i | 1.42189 | − | 1.23207i | ||||
\(612\) | 3.47597e8 | + | 4.12616e8i | 1.51643 | + | 1.80008i | ||||
\(613\) | −4.98749e7 | + | 3.46888e8i | −0.216521 | + | 1.50594i | 0.534221 | + | 0.845345i | \(0.320605\pi\) |
−0.750743 | + | 0.660595i | \(0.770304\pi\) | |||||||
\(614\) | −6.19477e8 | − | 5.36780e8i | −2.67621 | − | 2.31895i | ||||
\(615\) | 3.47808e7 | − | 1.54694e8i | 0.149525 | − | 0.665039i | ||||
\(616\) | −3.06589e8 | − | 9.00227e7i | −1.31164 | − | 0.385132i | ||||
\(617\) | 2.72477e8 | − | 1.24436e8i | 1.16004 | − | 0.529774i | 0.260014 | − | 0.965605i | \(-0.416273\pi\) |
0.900029 | + | 0.435831i | \(0.143545\pi\) | |||||||
\(618\) | 2.32049e8 | − | 8.47148e7i | 0.983136 | − | 0.358917i | ||||
\(619\) | 3.70074e8 | + | 2.37832e8i | 1.56033 | + | 1.00276i | 0.982425 | + | 0.186658i | \(0.0597656\pi\) |
0.577904 | + | 0.816105i | \(0.303871\pi\) | |||||||
\(620\) | 3.59857e8i | 1.50993i | ||||||||
\(621\) | 1.36686e8 | + | 1.96645e8i | 0.570754 | + | 0.821121i | ||||
\(622\) | −6.57700e8 | −2.73311 | ||||||||
\(623\) | 5.28190e6 | − | 8.21879e6i | 0.0218437 | − | 0.0339894i | ||||
\(624\) | 2.76877e8 | + | 7.58415e8i | 1.13955 | + | 3.12143i | ||||
\(625\) | −6.95837e7 | − | 1.52367e8i | −0.285015 | − | 0.624096i | ||||
\(626\) | 1.55574e7 | − | 5.29836e7i | 0.0634181 | − | 0.215982i | ||||
\(627\) | −7.95545e7 | − | 1.78868e7i | −0.322747 | − | 0.0725654i | ||||
\(628\) | 3.31467e8 | − | 3.82533e8i | 1.33832 | − | 1.54451i | ||||
\(629\) | 1.36322e8 | + | 1.96001e7i | 0.547789 | + | 0.0787602i | ||||
\(630\) | −4.81820e8 | + | 4.05897e8i | −1.92692 | + | 1.62328i | ||||
\(631\) | −7.84630e7 | − | 9.05511e7i | −0.312303 | − | 0.360417i | 0.577798 | − | 0.816180i | \(-0.303912\pi\) |
−0.890101 | + | 0.455762i | \(0.849367\pi\) | |||||||
\(632\) | −3.04566e8 | − | 4.73914e8i | −1.20651 | − | 1.87736i | ||||
\(633\) | −8.29427e7 | + | 8.17961e7i | −0.327014 | + | 0.322494i | ||||
\(634\) | −2.06068e8 | − | 2.37816e8i | −0.808618 | − | 0.933195i | ||||
\(635\) | −1.01912e8 | − | 3.47080e8i | −0.398019 | − | 1.35553i | ||||
\(636\) | −1.01981e8 | + | 6.58080e6i | −0.396414 | + | 0.0255804i | ||||
\(637\) | −3.81754e8 | + | 4.40568e8i | −1.47695 | + | 1.70449i | ||||
\(638\) | −2.33329e8 | − | 1.06558e8i | −0.898477 | − | 0.410321i | ||||
\(639\) | −1.97020e7 | − | 1.52023e8i | −0.0755104 | − | 0.582647i | ||||
\(640\) | 3.11287e7 | + | 6.81623e7i | 0.118746 | + | 0.260018i | ||||
\(641\) | −2.24369e8 | + | 3.22595e7i | −0.851902 | + | 0.122485i | −0.554415 | − | 0.832241i | \(-0.687058\pi\) |
−0.297488 | + | 0.954726i | \(0.596149\pi\) | |||||||
\(642\) | 1.32389e8 | + | 5.04310e7i | 0.500320 | + | 0.190587i | ||||
\(643\) | −2.76385e8 | −1.03964 | −0.519818 | − | 0.854277i | \(-0.674000\pi\) | ||||
−0.519818 | + | 0.854277i | \(0.674000\pi\) | |||||||
\(644\) | −7.48511e8 | − | 6.67560e8i | −2.80247 | − | 2.49938i | ||||
\(645\) | 6.75936e7 | + | 3.21479e8i | 0.251899 | + | 1.19804i | ||||
\(646\) | −3.98471e8 | − | 2.56082e8i | −1.47808 | − | 0.949906i | ||||
\(647\) | −4.07071e8 | + | 5.85279e7i | −1.50299 | + | 0.216098i | −0.844119 | − | 0.536156i | \(-0.819876\pi\) |
−0.658874 | + | 0.752253i | \(0.728967\pi\) | |||||||
\(648\) | 2.10416e8 | − | 6.49188e8i | 0.773311 | − | 2.38586i | ||||
\(649\) | 8.13007e7 | + | 2.38720e7i | 0.297413 | + | 0.0873284i | ||||
\(650\) | 1.70997e8 | + | 7.80919e7i | 0.622658 | + | 0.284358i | ||||
\(651\) | 1.56590e8 | − | 2.82088e8i | 0.567573 | − | 1.02245i | ||||
\(652\) | −9.52030e7 | + | 6.62151e8i | −0.343485 | + | 2.38899i | ||||
\(653\) | 3.06975e7 | + | 1.04546e8i | 0.110246 | + | 0.375464i | 0.996071 | − | 0.0885553i | \(-0.0282250\pi\) |
−0.885825 | + | 0.464019i | \(0.846407\pi\) | |||||||
\(654\) | 4.00103e8 | − | 5.26793e8i | 1.43034 | − | 1.88325i | ||||
\(655\) | −4.14140e7 | + | 2.66152e7i | −0.147375 | + | 0.0947121i | ||||
\(656\) | −2.68675e8 | − | 4.18067e8i | −0.951736 | − | 1.48093i | ||||
\(657\) | −1.01930e8 | − | 4.82757e7i | −0.359423 | − | 0.170228i | ||||
\(658\) | 1.00707e9 | − | 2.95701e8i | 3.53493 | − | 1.03795i | ||||
\(659\) | −1.01215e8 | − | 1.45526e7i | −0.353663 | − | 0.0508491i | −0.0368063 | − | 0.999322i | \(-0.511718\pi\) |
−0.316857 | + | 0.948473i | \(0.602628\pi\) | |||||||
\(660\) | −9.81981e7 | + | 1.76898e8i | −0.341563 | + | 0.615307i | ||||
\(661\) | 1.71379e8 | − | 3.75267e8i | 0.593407 | − | 1.29938i | −0.339954 | − | 0.940442i | \(-0.610412\pi\) |
0.933361 | − | 0.358938i | \(-0.116861\pi\) | |||||||
\(662\) | −2.01555e8 | + | 6.86434e8i | −0.694736 | + | 2.36605i | ||||
\(663\) | 3.46702e8 | − | 2.55792e8i | 1.18964 | − | 0.877701i | ||||
\(664\) | −2.06704e8 | − | 1.43766e9i | −0.706065 | − | 4.91079i | ||||
\(665\) | 2.10216e8 | − | 3.27102e8i | 0.714826 | − | 1.11229i | ||||
\(666\) | −1.21482e8 | − | 2.76116e8i | −0.411235 | − | 0.934694i | ||||
\(667\) | −2.99432e8 | − | 3.55713e8i | −1.00907 | − | 1.19873i | ||||
\(668\) | 9.44159e8i | 3.16749i | ||||||||
\(669\) | −2.42721e8 | − | 9.24595e7i | −0.810642 | − | 0.308797i | ||||
\(670\) | 3.73390e7 | + | 2.59699e8i | 0.124148 | + | 0.863466i | ||||
\(671\) | 4.56250e7 | − | 2.08362e7i | 0.151020 | − | 0.0689686i | ||||
\(672\) | −6.00471e7 | + | 7.64734e8i | −0.197872 | + | 2.52001i | ||||
\(673\) | −2.53260e7 | + | 5.54563e7i | −0.0830848 | + | 0.181930i | −0.946615 | − | 0.322367i | \(-0.895521\pi\) |
0.863530 | + | 0.504298i | \(0.168249\pi\) | |||||||
\(674\) | 4.32432e8 | + | 3.74705e8i | 1.41234 | + | 1.22380i | ||||
\(675\) | −3.55635e7 | − | 6.84916e7i | −0.115636 | − | 0.222703i | ||||
\(676\) | 8.48966e8 | − | 2.49279e8i | 2.74821 | − | 0.806948i | ||||
\(677\) | −1.75717e8 | + | 1.52260e8i | −0.566303 | + | 0.490704i | −0.890313 | − | 0.455350i | \(-0.849514\pi\) |
0.324010 | + | 0.946054i | \(0.394969\pi\) | |||||||
\(678\) | −4.28516e7 | + | 4.22593e7i | −0.137492 | + | 0.135592i | ||||
\(679\) | 2.28871e7 | − | 1.47087e7i | 0.0731108 | − | 0.0469855i | ||||
\(680\) | −5.12953e8 | + | 4.44476e8i | −1.63136 | + | 1.41358i | ||||
\(681\) | −6.30262e7 | − | 1.17358e8i | −0.199563 | − | 0.371597i | ||||
\(682\) | 2.09762e7 | − | 1.45892e8i | 0.0661261 | − | 0.459917i | ||||
\(683\) | 2.38710e8 | + | 2.06844e8i | 0.749219 | + | 0.649202i | 0.943360 | − | 0.331771i | \(-0.107646\pi\) |
−0.194140 | + | 0.980974i | \(0.562192\pi\) | |||||||
\(684\) | −1.01514e7 | + | 7.29261e8i | −0.0317218 | + | 2.27884i | ||||
\(685\) | −3.97501e8 | − | 1.16717e8i | −1.23671 | − | 0.363130i | ||||
\(686\) | −4.42029e8 | + | 2.01868e8i | −1.36924 | + | 0.625310i | ||||
\(687\) | 1.04183e8 | + | 2.85375e8i | 0.321311 | + | 0.880128i | ||||
\(688\) | 8.66185e8 | + | 5.56663e8i | 2.65978 | + | 1.70934i | ||||
\(689\) | 8.16104e7i | 0.249510i | ||||||||
\(690\) | −4.24192e8 | + | 3.03695e8i | −1.29126 | + | 0.924466i | ||||
\(691\) | −1.68853e8 | −0.511769 | −0.255885 | − | 0.966707i | \(-0.582367\pi\) | ||||
−0.255885 | + | 0.966707i | \(0.582367\pi\) | |||||||
\(692\) | 4.69622e8 | − | 7.30746e8i | 1.41720 | − | 2.20520i | ||||
\(693\) | 1.53953e8 | − | 9.59382e7i | 0.462581 | − | 0.288265i | ||||
\(694\) | 3.11575e8 | + | 6.82254e8i | 0.932147 | + | 2.04112i | ||||
\(695\) | 3.20157e7 | − | 1.09036e8i | 0.0953694 | − | 0.324798i | ||||
\(696\) | −2.90647e8 | + | 1.29270e9i | −0.862060 | + | 3.83416i | ||||
\(697\) | −1.73668e8 | + | 2.00423e8i | −0.512885 | + | 0.591901i | ||||
\(698\) | −3.27706e8 | − | 4.71171e7i | −0.963649 | − | 0.138552i | ||||
\(699\) | 2.42044e8 | + | 4.50700e8i | 0.708700 | + | 1.31964i | ||||
\(700\) | 2.11653e8 | + | 2.44261e8i | 0.617065 | + | 0.712131i | ||||
\(701\) | 2.04613e8 | + | 3.18384e8i | 0.593990 | + | 0.924267i | 0.999946 | + | 0.0103745i | \(0.00330235\pi\) |
−0.405956 | + | 0.913893i | \(0.633061\pi\) | |||||||
\(702\) | −8.77122e8 | − | 3.48177e8i | −2.53541 | − | 1.00644i | ||||
\(703\) | 1.21921e8 | + | 1.40705e8i | 0.350924 | + | 0.404988i | ||||
\(704\) | 2.32450e7 | + | 7.91653e7i | 0.0666212 | + | 0.226891i | ||||
\(705\) | −2.47150e7 | − | 3.83003e8i | −0.0705333 | − | 1.09304i | ||||
\(706\) | 4.97434e8 | − | 5.74069e8i | 1.41358 | − | 1.63136i | ||||
\(707\) | 3.20067e7 | + | 1.46170e7i | 0.0905695 | + | 0.0413617i | ||||
\(708\) | 5.93268e7 | − | 7.55561e8i | 0.167167 | − | 2.12897i | ||||
\(709\) | −1.57858e8 | − | 3.45661e8i | −0.442923 | − | 0.969866i | −0.991053 | − | 0.133472i | \(-0.957387\pi\) |
0.548130 | − | 0.836393i | \(-0.315340\pi\) | |||||||
\(710\) | 3.30542e8 | − | 4.75248e7i | 0.923532 | − | 0.132784i | ||||
\(711\) | 3.15891e8 | + | 4.99154e7i | 0.878877 | + | 0.138876i | ||||
\(712\) | −2.30540e7 | −0.0638714 | ||||||||
\(713\) | 1.47642e8 | − | 2.22672e8i | 0.407326 | − | 0.614323i | ||||
\(714\) | 1.03119e9 | − | 2.16816e8i | 2.83297 | − | 0.595657i | ||||
\(715\) | 1.35926e8 | + | 8.73542e7i | 0.371864 | + | 0.238982i | ||||
\(716\) | −1.57115e9 | + | 2.25898e8i | −4.28036 | + | 0.615422i | ||||
\(717\) | −3.47231e8 | + | 2.56182e8i | −0.942021 | + | 0.695011i | ||||
\(718\) | −6.00853e8 | − | 1.76426e8i | −1.62328 | − | 0.476639i | ||||
\(719\) | 1.00653e8 | + | 4.59668e7i | 0.270795 | + | 0.123668i | 0.546185 | − | 0.837665i | \(-0.316080\pi\) |
−0.275390 | + | 0.961333i | \(0.588807\pi\) | |||||||
\(720\) | 6.89906e8 | + | 2.13049e8i | 1.84839 | + | 0.570798i | ||||
\(721\) | 4.82696e7 | − | 3.35722e8i | 0.128786 | − | 0.895724i | ||||
\(722\) | 1.41668e7 | + | 4.82477e7i | 0.0376409 | + | 0.128193i | ||||
\(723\) | −1.58283e7 | − | 1.20217e7i | −0.0418812 | − | 0.0318091i | ||||
\(724\) | −1.17559e9 | + | 7.55507e8i | −3.09771 | + | 1.99078i | ||||
\(725\) | 8.10075e7 | + | 1.26050e8i | 0.212574 | + | 0.330772i | ||||
\(726\) | −3.74555e8 | + | 4.93155e8i | −0.978826 | + | 1.28876i | ||||
\(727\) | 2.07890e8 | − | 6.10419e7i | 0.541040 | − | 0.158864i | 0.000216864 | − | 1.00000i | \(-0.499931\pi\) |
0.540823 | + | 0.841136i | \(0.318113\pi\) | |||||||
\(728\) | 2.25916e9 | + | 3.24818e8i | 5.85534 | + | 0.841871i | ||||
\(729\) | 1.95667e8 | + | 3.34379e8i | 0.505051 | + | 0.863090i | ||||
\(730\) | 1.02065e8 | − | 2.23490e8i | 0.262366 | − | 0.574500i | ||||
\(731\) | 1.54800e8 | − | 5.27201e8i | 0.396296 | − | 1.34966i | ||||
\(732\) | −2.66348e8 | − | 3.61009e8i | −0.679073 | − | 0.920418i | ||||
\(733\) | −4.83407e7 | − | 3.36217e8i | −0.122744 | − | 0.853704i | −0.954425 | − | 0.298450i | \(-0.903530\pi\) |
0.831681 | − | 0.555254i | \(-0.187379\pi\) | |||||||
\(734\) | 3.76101e8 | − | 5.85225e8i | 0.951079 | − | 1.47991i | ||||
\(735\) | 1.07273e8 | + | 5.10193e8i | 0.270163 | + | 1.28491i | ||||
\(736\) | −9.93798e7 | + | 6.27396e8i | −0.249267 | + | 1.57365i | ||||
\(737\) | − | 7.55450e7i | − | 0.188714i | ||||||
\(738\) | 5.73749e8 | + | 9.06608e7i | 1.42742 | + | 0.225554i | ||||
\(739\) | 2.65352e7 | + | 1.84556e8i | 0.0657490 | + | 0.457295i | 0.995925 | + | 0.0901815i | \(0.0287447\pi\) |
−0.930176 | + | 0.367113i | \(0.880346\pi\) | |||||||
\(740\) | 4.20218e8 | − | 1.91907e8i | 1.03700 | − | 0.473583i | ||||
\(741\) | 5.80649e8 | + | 4.55927e7i | 1.42711 | + | 0.112057i | ||||
\(742\) | −8.29149e7 | + | 1.81558e8i | −0.202965 | + | 0.444431i | ||||
\(743\) | −1.20368e7 | − | 1.04299e7i | −0.0293456 | − | 0.0254281i | 0.640065 | − | 0.768321i | \(-0.278908\pi\) |
−0.669410 | + | 0.742893i | \(0.733453\pi\) | |||||||
\(744\) | −7.59760e8 | + | 4.90270e7i | −1.84484 | + | 0.119046i | ||||
\(745\) | 1.84892e8 | − | 5.42893e7i | 0.447147 | − | 0.131294i | ||||
\(746\) | 9.13621e8 | − | 7.91657e8i | 2.20064 | − | 1.90687i | ||||
\(747\) | 6.87386e8 | + | 4.55399e8i | 1.64907 | + | 1.09252i | ||||
\(748\) | 2.84687e8 | − | 1.82957e8i | 0.680241 | − | 0.437164i | ||||
\(749\) | 1.47004e8 | − | 1.27380e8i | 0.349852 | − | 0.303149i | ||||
\(750\) | 7.38352e8 | − | 3.96525e8i | 1.75017 | − | 0.939911i | ||||
\(751\) | 5.82626e7 | − | 4.05225e8i | 0.137553 | − | 0.956702i | −0.797784 | − | 0.602944i | \(-0.793994\pi\) |
0.935337 | − | 0.353759i | \(-0.115097\pi\) | |||||||
\(752\) | −9.09119e8 | − | 7.87757e8i | −2.13780 | − | 1.85242i | ||||
\(753\) | −7.69949e8 | − | 1.73113e8i | −1.80334 | − | 0.405457i | ||||
\(754\) | 1.75800e9 | + | 5.16196e8i | 4.10115 | + | 1.20421i | ||||
\(755\) | −2.67110e8 | + | 1.21985e8i | −0.620653 | + | 0.283443i | ||||
\(756\) | −1.12308e9 | − | 1.17099e9i | −2.59924 | − | 2.71011i | ||||
\(757\) | −3.26186e8 | − | 2.09627e8i | −0.751931 | − | 0.483237i | 0.107680 | − | 0.994186i | \(-0.465658\pi\) |
−0.859611 | + | 0.510949i | \(0.829294\pi\) | |||||||
\(758\) | − | 6.00274e7i | − | 0.137829i | ||||||
\(759\) | 1.33341e8 | − | 6.91719e7i | 0.304956 | − | 0.158199i | ||||
\(760\) | −9.17533e8 | −2.09017 | ||||||||
\(761\) | −1.29256e8 | + | 2.01127e8i | −0.293291 | + | 0.456369i | −0.956361 | − | 0.292188i | \(-0.905617\pi\) |
0.663070 | + | 0.748557i | \(0.269253\pi\) | |||||||
\(762\) | 1.24485e9 | − | 4.54460e8i | 2.81353 | − | 1.02714i | ||||
\(763\) | −3.77306e8 | − | 8.26185e8i | −0.849415 | − | 1.85996i | ||||
\(764\) | 3.38865e8 | − | 1.15407e9i | 0.759882 | − | 2.58792i | ||||
\(765\) | 5.36316e6 | − | 3.85281e8i | 0.0119794 | − | 0.860584i | ||||
\(766\) | −4.38678e8 | + | 5.06261e8i | −0.976022 | + | 1.12639i | ||||
\(767\) | −5.99079e8 | − | 8.61346e7i | −1.32769 | − | 0.190894i | ||||
\(768\) | −5.16542e8 | + | 2.77404e8i | −1.14031 | + | 0.612391i | ||||
\(769\) | 3.73287e8 | + | 4.30796e8i | 0.820851 | + | 0.947312i | 0.999329 | − | 0.0366318i | \(-0.0116629\pi\) |
−0.178478 | + | 0.983944i | \(0.557117\pi\) | |||||||
\(770\) | 2.13643e8 | + | 3.32435e8i | 0.467968 | + | 0.728173i | ||||
\(771\) | 2.17058e8 | + | 2.20100e8i | 0.473601 | + | 0.480239i | ||||
\(772\) | −4.81408e8 | − | 5.55574e8i | −1.04631 | − | 1.20751i | ||||
\(773\) | 3.49112e7 | + | 1.18897e8i | 0.0755834 | + | 0.257413i | 0.988613 | − | 0.150480i | \(-0.0480818\pi\) |
−0.913030 | + | 0.407893i | \(0.866264\pi\) | |||||||
\(774\) | −1.15935e9 | + | 3.22957e8i | −2.50029 | + | 0.696501i | ||||
\(775\) | −5.63816e7 | + | 6.50679e7i | −0.121125 | + | 0.139785i | ||||
\(776\) | −5.83976e7 | − | 2.66693e7i | −0.124971 | − | 0.0570725i | ||||
\(777\) | −4.12912e8 | − | 3.24219e7i | −0.880226 | − | 0.0691155i | ||||
\(778\) | −5.48983e7 | − | 1.20211e8i | −0.116579 | − | 0.255272i | ||||
\(779\) | −3.54853e8 | + | 5.10202e7i | −0.750648 | + | 0.107927i | ||||
\(780\) | 5.14456e8 | − | 1.35053e9i | 1.08409 | − | 2.84590i | ||||
\(781\) | −9.61531e7 | −0.201841 | ||||||||
\(782\) | 8.65392e8 | − | 1.11822e8i | 1.80964 | − | 0.233835i | ||||
\(783\) | −4.38100e8 | − | 6.11437e8i | −0.912615 | − | 1.27370i | ||||
\(784\) | 1.37465e9 | + | 8.83437e8i | 2.85263 | + | 1.83327i | ||||
\(785\) | −3.57820e8 | + | 5.14468e7i | −0.739701 | + | 0.106353i | ||||
\(786\) | −1.07073e8 | − | 1.45127e8i | −0.220501 | − | 0.298868i | ||||
\(787\) | −1.13028e8 | − | 3.31880e7i | −0.231879 | − | 0.0680859i | 0.163729 | − | 0.986505i | \(-0.447648\pi\) |
−0.395608 | + | 0.918420i | \(0.629466\pi\) | |||||||
\(788\) | −3.88563e8 | − | 1.77451e8i | −0.794114 | − | 0.362660i | ||||
\(789\) | −1.03814e8 | − | 5.76283e7i | −0.211361 | − | 0.117329i | ||||
\(790\) | −9.91488e7 | + | 6.89595e8i | −0.201097 | + | 1.39866i | ||||
\(791\) | 2.32805e7 | + | 7.92863e7i | 0.0470396 | + | 0.160202i | ||||
\(792\) | −3.86861e8 | − | 1.83223e8i | −0.778716 | − | 0.368812i | ||||
\(793\) | −3.01397e8 | + | 1.93696e8i | −0.604392 | + | 0.388419i | ||||
\(794\) | 1.07601e8 | + | 1.67431e8i | 0.214959 | + | 0.334483i | ||||
\(795\) | 5.81225e7 | + | 4.41444e7i | 0.115676 | + | 0.0878566i | ||||
\(796\) | −7.79388e8 | + | 2.28849e8i | −1.54531 | + | 0.453743i | ||||
\(797\) | −2.85242e8 | − | 4.10116e7i | −0.563428 | − | 0.0810088i | −0.145285 | − | 0.989390i | \(-0.546410\pi\) |
−0.418143 | + | 0.908381i | \(0.637319\pi\) | |||||||
\(798\) | 1.24544e9 | + | 6.91360e8i | 2.45084 | + | 1.36049i | ||||
\(799\) | −2.66671e8 | + | 5.83928e8i | −0.522800 | + | 1.14477i | ||||
\(800\) | 5.76710e7 | − | 1.96409e8i | 0.112639 | − | 0.383612i | ||||
\(801\) | 8.70753e6 | − | 9.77085e6i | 0.0169433 | − | 0.0190123i | ||||
\(802\) | 2.91341e7 | + | 2.02632e8i | 0.0564778 | + | 0.392812i | ||||
\(803\) | −3.82468e7 | + | 5.95132e7i | −0.0738666 | + | 0.114939i | ||||
\(804\) | −6.61246e8 | + | 1.39033e8i | −1.27232 | + | 0.267516i | ||||
\(805\) | 9.17944e7 | + | 7.10395e8i | 0.175966 | + | 1.36180i | ||||
\(806\) | 1.05281e9i | 2.01069i | ||||||||
\(807\) | −3.01668e7 | + | 7.91925e7i | −0.0573995 | + | 0.150683i | ||||
\(808\) | −1.18165e7 | − | 8.21858e7i | −0.0224004 | − | 0.155798i | ||||
\(809\) | 2.82874e8 | − | 1.29184e8i | 0.534253 | − | 0.243985i | −0.129972 | − | 0.991518i | \(-0.541489\pi\) |
0.664225 | + | 0.747532i | \(0.268762\pi\) | |||||||
\(810\) | −7.22419e8 | + | 4.36346e8i | −1.35936 | + | 0.821062i | ||||
\(811\) | −1.37211e8 | + | 3.00450e8i | −0.257233 | + | 0.563261i | −0.993553 | − | 0.113372i | \(-0.963835\pi\) |
0.736320 | + | 0.676634i | \(0.236562\pi\) | |||||||
\(812\) | 2.38072e9 | + | 2.06291e9i | 4.44672 | + | 3.85311i | ||||
\(813\) | 2.00530e6 | + | 3.10757e7i | 0.00373171 | + | 0.0578295i | ||||
\(814\) | −1.81550e8 | + | 5.33078e7i | −0.336607 | + | 0.0988366i | ||||
\(815\) | 3.61073e8 | − | 3.12871e8i | 0.666994 | − | 0.577954i | ||||
\(816\) | −8.48006e8 | − | 8.59893e8i | −1.56073 | − | 1.58261i | ||||
\(817\) | 6.24861e8 | − | 4.01574e8i | 1.14582 | − | 0.736375i | ||||
\(818\) | −4.74616e8 | + | 4.11257e8i | −0.867126 | + | 0.751369i | ||||
\(819\) | −9.90952e8 | + | 8.34801e8i | −1.80385 | + | 1.51961i | ||||
\(820\) | −1.26596e8 | + | 8.80495e8i | −0.229604 | + | 1.59693i | ||||
\(821\) | −1.33127e8 | − | 1.15355e8i | −0.240567 | − | 0.208453i | 0.526230 | − | 0.850343i | \(-0.323605\pi\) |
−0.766797 | + | 0.641890i | \(0.778151\pi\) | |||||||
\(822\) | 3.32929e8 | − | 1.48076e9i | 0.599427 | − | 2.66605i | ||||
\(823\) | 3.03758e8 | + | 8.91914e7i | 0.544914 | + | 0.160001i | 0.542592 | − | 0.839996i | \(-0.317443\pi\) |
0.00232162 | + | 0.999997i | \(0.499261\pi\) | |||||||
\(824\) | −7.28039e8 | + | 3.32484e8i | −1.30129 | + | 0.594277i | ||||
\(825\) | −4.54718e7 | + | 1.66005e7i | −0.0809804 | + | 0.0295638i | ||||
\(826\) | −1.24526e9 | − | 8.00278e8i | −2.20963 | − | 1.42004i | ||||
\(827\) | − | 8.27758e8i | − | 1.46348i | −0.681584 | − | 0.731740i | \(-0.738708\pi\) | ||
0.681584 | − | 0.731740i | \(-0.261292\pi\) | |||||||
\(828\) | −8.50863e8 | − | 1.03983e9i | −1.49889 | − | 1.83177i | ||||
\(829\) | 6.61027e8 | 1.16026 | 0.580131 | − | 0.814523i | \(-0.303002\pi\) | ||||
0.580131 | + | 0.814523i | \(0.303002\pi\) | |||||||
\(830\) | −9.71119e8 | + | 1.51109e9i | −1.69839 | + | 2.64275i | ||||
\(831\) | −1.66069e8 | − | 4.54891e8i | −0.289391 | − | 0.792692i | ||||
\(832\) | −2.44822e8 | − | 5.36085e8i | −0.425089 | − | 0.930816i | ||||
\(833\) | 2.45671e8 | − | 8.36679e8i | 0.425030 | − | 1.44752i | ||||
\(834\) | 4.06176e8 | + | 9.13233e7i | 0.700190 | + | 0.157429i | ||||
\(835\) | 4.41582e8 | − | 5.09612e8i | 0.758493 | − | 0.875348i | ||||
\(836\) | 4.52814e8 | + | 6.51048e7i | 0.774998 | + | 0.111428i | ||||
\(837\) | 2.66184e8 | − | 3.40522e8i | 0.453947 | − | 0.580723i | ||||
\(838\) | −1.31528e9 | − | 1.51792e9i | −2.23505 | − | 2.57939i | ||||
\(839\) | 1.45944e8 | + | 2.27094e8i | 0.247116 | + | 0.384520i | 0.942547 | − | 0.334072i | \(-0.108423\pi\) |
−0.695431 | + | 0.718593i | \(0.744787\pi\) | |||||||
\(840\) | 1.45335e9 | − | 1.43326e9i | 2.45206 | − | 2.41817i | ||||
\(841\) | 5.66829e8 | + | 6.54155e8i | 0.952937 | + | 1.09975i | ||||
\(842\) | 3.18912e8 | + | 1.08611e9i | 0.534238 | + | 1.81945i | ||||
\(843\) | −7.46176e8 | + | 4.81504e7i | −1.24554 | + | 0.0803743i | ||||
\(844\) | 4.27986e8 | − | 4.93922e8i | 0.711873 | − | 0.821545i | ||||
\(845\) | −5.74819e8 | − | 2.62511e8i | −0.952711 | − | 0.435088i | ||||
\(846\) | 1.39439e9 | − | 1.80711e8i | 2.30289 | − | 0.298452i | ||||
\(847\) | 3.53213e8 | + | 7.73428e8i | 0.581281 | + | 1.27283i | ||||
\(848\) | 2.26430e8 | − | 3.25557e7i | 0.371319 | − | 0.0533876i | ||||
\(849\) | 1.05738e8 | + | 4.02787e7i | 0.172786 | + | 0.0658192i | ||||
\(850\) | −2.81194e8 | −0.457877 | ||||||||
\(851\) | −3.38757e8 | − | 5.36593e7i | −0.549667 | − | 0.0870676i | ||||
\(852\) | 1.76960e8 | + | 8.41629e8i | 0.286125 | + | 1.36082i | ||||
\(853\) | −4.48837e8 | − | 2.88450e8i | −0.723173 | − | 0.464755i | 0.126567 | − | 0.991958i | \(-0.459604\pi\) |
−0.849739 | + | 0.527203i | \(0.823241\pi\) | |||||||
\(854\) | −8.67308e8 | + | 1.24700e8i | −1.39251 | + | 0.200213i | ||||
\(855\) | 3.46553e8 | − | 3.88873e8i | 0.554462 | − | 0.622170i | ||||
\(856\) | −4.40412e8 | − | 1.29317e8i | −0.702163 | − | 0.206174i | ||||
\(857\) | 5.36549e8 | + | 2.45034e8i | 0.852446 | + | 0.389299i | 0.793212 | − | 0.608945i | \(-0.208407\pi\) |
0.0592337 | + | 0.998244i | \(0.481134\pi\) | |||||||
\(858\) | −2.87292e8 | + | 5.17539e8i | −0.454842 | + | 0.819373i | ||||
\(859\) | 1.13808e8 | − | 7.91555e8i | 0.179554 | − | 1.24883i | −0.678243 | − | 0.734837i | \(-0.737258\pi\) |
0.857797 | − | 0.513988i | \(-0.171833\pi\) | |||||||
\(860\) | −5.19245e8 | − | 1.76838e9i | −0.816350 | − | 2.78023i | ||||
\(861\) | 4.82381e8 | − | 6.35123e8i | 0.755754 | − | 0.995058i | ||||
\(862\) | 4.43714e8 | − | 2.85157e8i | 0.692757 | − | 0.445208i | ||||
\(863\) | 9.10348e7 | + | 1.41653e8i | 0.141637 | + | 0.220391i | 0.904823 | − | 0.425787i | \(-0.140003\pi\) |
−0.763187 | + | 0.646178i | \(0.776366\pi\) | |||||||
\(864\) | −2.39351e8 | + | 9.99352e8i | −0.371103 | + | 1.54945i | ||||
\(865\) | −5.95248e8 | + | 1.74781e8i | −0.919708 | + | 0.270051i | ||||
\(866\) | −1.66934e7 | − | 2.40014e6i | −0.0257034 | − | 0.00369559i | ||||
\(867\) | 3.51194e6 | − | 6.32656e6i | 0.00538877 | − | 0.00970756i | ||||
\(868\) | −7.51943e8 | + | 1.64653e9i | −1.14981 | + | 2.51773i | ||||
\(869\) | 5.65154e7 | − | 1.92474e8i | 0.0861208 | − | 0.293300i | ||||
\(870\) | 1.31856e9 | − | 9.72820e8i | 2.00237 | − | 1.47732i | ||||
\(871\) | 7.67945e7 | + | 5.34118e8i | 0.116219 | + | 0.808319i | ||||
\(872\) | −1.15874e9 | + | 1.80303e9i | −1.74758 | + | 2.71928i | ||||
\(873\) | 3.33599e7 | − | 1.46773e7i | 0.0501398 | − | 0.0220599i | ||||
\(874\) | 9.83115e8 | + | 6.51854e8i | 1.47255 | + | 0.976374i | ||||
\(875\) | − | 1.15071e9i | − | 1.71768i | ||||||
\(876\) | 5.91309e8 | + | 2.25247e8i | 0.879634 | + | 0.335078i | ||||
\(877\) | 1.38714e8 | + | 9.64776e8i | 0.205646 | + | 1.43030i | 0.787152 | + | 0.616759i | \(0.211555\pi\) |
−0.581506 | + | 0.813542i | \(0.697536\pi\) | |||||||
\(878\) | 6.49537e8 | − | 2.96634e8i | 0.959667 | − | 0.438265i | ||||
\(879\) | 4.14902e7 | − | 5.28401e8i | 0.0610912 | − | 0.778031i | ||||
\(880\) | 1.88143e8 | − | 4.11977e8i | 0.276084 | − | 0.604539i | ||||
\(881\) | 1.56195e8 | + | 1.35343e8i | 0.228422 | + | 0.197929i | 0.761551 | − | 0.648105i | \(-0.224438\pi\) |
−0.533129 | + | 0.846034i | \(0.678984\pi\) | |||||||
\(882\) | −1.83991e9 | + | 5.12539e8i | −2.68158 | + | 0.747001i | ||||
\(883\) | −1.16345e9 | + | 3.41619e8i | −1.68991 | + | 0.496203i | −0.978444 | − | 0.206514i | \(-0.933788\pi\) |
−0.711470 | + | 0.702717i | \(0.751970\pi\) | |||||||
\(884\) | −1.82681e9 | + | 1.58294e9i | −2.64446 | + | 2.29143i | ||||
\(885\) | −3.85396e8 | + | 3.80069e8i | −0.556004 | + | 0.548318i | ||||
\(886\) | 2.26677e8 | − | 1.45676e8i | 0.325916 | − | 0.209454i | ||||
\(887\) | −4.59353e8 | + | 3.98031e8i | −0.658227 | + | 0.570357i | −0.918618 | − | 0.395147i | \(-0.870694\pi\) |
0.260392 | + | 0.965503i | \(0.416148\pi\) | |||||||
\(888\) | 4.62420e8 | + | 8.61053e8i | 0.660386 | + | 1.22968i | ||||
\(889\) | 2.58947e8 | − | 1.80101e9i | 0.368557 | − | 2.56337i | ||||
\(890\) | 2.15471e7 | + | 1.86707e7i | 0.0305647 | + | 0.0264844i | ||||
\(891\) | 2.23772e8 | − | 9.47572e7i | 0.316354 | − | 0.133961i | ||||
\(892\) | 1.39817e9 | + | 4.10541e8i | 1.97000 | + | 0.578445i | ||||
\(893\) | −7.89372e8 | + | 3.60494e8i | −1.10848 | + | 0.506225i | ||||
\(894\) | 2.42095e8 | + | 6.63141e8i | 0.338823 | + | 0.928097i | ||||
\(895\) | 9.53687e8 | + | 6.12897e8i | 1.33026 | + | 0.854906i | ||||
\(896\) | 3.76921e8i | 0.523994i | ||||||||
\(897\) | −8.72428e8 | + | 6.24605e8i | −1.20879 | + | 0.865423i | ||||
\(898\) | 9.39473e8 | 1.29735 | ||||||||
\(899\) | −4.53682e8 | + | 7.05943e8i | −0.624414 | + | 0.971607i | ||||
\(900\) | 2.28991e8 | + | 3.67464e8i | 0.314116 | + | 0.504065i | ||||
\(901\) | −5.07119e7 | − | 1.11044e8i | −0.0693323 | − | 0.151817i | ||||
\(902\) | 1.02648e8 | − | 3.49589e8i | 0.139873 | − | 0.476362i | ||||
\(903\) | −3.62474e8 | + | 1.61216e9i | −0.492281 | + | 2.18951i | ||||
\(904\) | 1.27694e8 | − | 1.47367e8i | 0.172848 | − | 0.199478i | ||||
\(905\) | 9.87879e8 | + | 1.42035e8i | 1.33278 | + | 0.191625i | ||||
\(906\) | −5.08980e8 | − | 9.47749e8i | −0.684409 | − | 1.27441i | ||||
\(907\) | 8.85942e8 | + | 1.02243e9i | 1.18736 | + | 1.37029i | 0.912639 | + | 0.408766i | \(0.134041\pi\) |
0.274723 | + | 0.961523i | \(0.411414\pi\) | |||||||
\(908\) | 4.04054e8 | + | 6.28721e8i | 0.539737 | + | 0.839847i | ||||
\(909\) | 3.92954e7 | + | 2.60335e7i | 0.0523179 | + | 0.0346610i | ||||
\(910\) | −1.84843e9 | − | 2.13320e9i | −2.45290 | − | 2.83079i | ||||
\(911\) | −2.69550e8 | − | 9.18002e8i | −0.356520 | − | 1.21420i | −0.921267 | − | 0.388931i | \(-0.872844\pi\) |
0.564747 | − | 0.825264i | \(-0.308974\pi\) | |||||||
\(912\) | −1.05132e8 | − | 1.62921e9i | −0.138596 | − | 2.14780i | ||||
\(913\) | 3.38692e8 | − | 3.90872e8i | 0.445034 | − | 0.513596i | ||||
\(914\) | 2.84465e8 | + | 1.29911e8i | 0.372555 | + | 0.170140i | ||||
\(915\) | −2.50814e7 | + | 3.19426e8i | −0.0327408 | + | 0.416972i | ||||
\(916\) | −7.08037e8 | − | 1.55038e9i | −0.921233 | − | 2.01722i | ||||
\(917\) | −2.45104e8 | + | 3.52406e7i | −0.317864 | + | 0.0457020i | ||||
\(918\) | 1.40981e9 | − | 7.12859e7i | 1.82236 | − | 0.0921458i | ||||
\(919\) | 1.63576e8 | 0.210753 | 0.105376 | − | 0.994432i | \(-0.466395\pi\) | ||||
0.105376 | + | 0.994432i | \(0.466395\pi\) | |||||||
\(920\) | 1.29313e9 | − | 1.08853e9i | 1.66065 | − | 1.39790i | ||||
\(921\) | −1.47542e9 | + | 3.10219e8i | −1.88858 | + | 0.397090i | ||||
\(922\) | 1.04563e9 | + | 6.71986e8i | 1.33409 | + | 0.857369i | ||||
\(923\) | 6.79821e8 | − | 9.77435e7i | 0.864549 | − | 0.124303i | ||||
\(924\) | −8.18944e8 | + | 6.04206e8i | −1.03810 | + | 0.765895i | ||||
\(925\) | 1.06050e8 | + | 3.11390e7i | 0.133994 | + | 0.0393440i | ||||
\(926\) | 1.30923e9 | + | 5.97907e8i | 1.64886 | + | 0.753010i | ||||
\(927\) | 1.34066e8 | − | 4.34140e8i | 0.168298 | − | 0.544992i | ||||
\(928\) | 2.83939e8 | − | 1.97484e9i | 0.355288 | − | 2.47108i | ||||
\(929\) | 2.49261e8 | + | 8.48903e8i | 0.310890 | + | 1.05879i | 0.955674 | + | 0.294428i | \(0.0951292\pi\) |
−0.644784 | + | 0.764365i | \(0.723053\pi\) | |||||||
\(930\) | 7.49805e8 | + | 5.69483e8i | 0.932180 | + | 0.707998i | ||||
\(931\) | 9.91668e8 | − | 6.37306e8i | 1.22890 | − | 0.789767i | ||||
\(932\) | −1.55172e9 | − | 2.41452e9i | −1.91675 | − | 2.98252i | ||||
\(933\) | −7.31688e8 | + | 9.63371e8i | −0.900909 | + | 1.18618i | ||||
\(934\) | −8.90026e8 | + | 2.61335e8i | −1.09235 | + | 0.320743i | ||||
\(935\) | −2.39229e8 | − | 3.43960e7i | −0.292671 | − | 0.0420797i | ||||
\(936\) | 2.92143e9 | + | 9.02164e8i | 3.56261 | + | 1.10017i | ||||
\(937\) | −2.21038e8 | + | 4.84006e8i | −0.268688 | + | 0.588345i | −0.995095 | − | 0.0989195i | \(-0.968461\pi\) |
0.726407 | + | 0.687264i | \(0.241189\pi\) | |||||||
\(938\) | −3.71811e8 | + | 1.26627e9i | −0.450519 | + | 1.53433i | ||||
\(939\) | −6.03006e7 | − | 8.17317e7i | −0.0728324 | − | 0.0987174i | ||||
\(940\) | 3.06439e8 | + | 2.13133e9i | 0.368944 | + | 2.56606i | ||||
\(941\) | −6.83336e7 | + | 1.06329e8i | −0.0820098 | + | 0.127610i | −0.879835 | − | 0.475279i | \(-0.842347\pi\) |
0.797826 | + | 0.602888i | \(0.205984\pi\) | |||||||
\(942\) | −2.72499e8 | − | 1.29602e9i | −0.325996 | − | 1.55045i | ||||
\(943\) | 4.39585e8 | − | 4.92891e8i | 0.524213 | − | 0.587781i | ||||
\(944\) | 1.69652e9i | 2.01671i | ||||||||
\(945\) | 5.85181e7 | + | 1.15731e9i | 0.0693418 | + | 1.37137i | ||||
\(946\) | 1.07431e8 | + | 7.47200e8i | 0.126899 | + | 0.882599i | ||||
\(947\) | 7.92522e8 | − | 3.61933e8i | 0.933171 | − | 0.426165i | 0.109983 | − | 0.993933i | \(-0.464920\pi\) |
0.823188 | + | 0.567768i | \(0.192193\pi\) | |||||||
\(948\) | −1.78874e9 | − | 1.40452e8i | −2.09953 | − | 0.164855i | ||||
\(949\) | 2.09915e8 | − | 4.59649e8i | 0.245609 | − | 0.537809i | ||||
\(950\) | −2.87280e8 | − | 2.48930e8i | −0.335070 | − | 0.290340i | ||||
\(951\) | −5.77592e8 | + | 3.72718e7i | −0.671552 | + | 0.0433350i | ||||
\(952\) | −3.27577e9 | + | 9.61854e8i | −3.79667 | + | 1.11480i | ||||
\(953\) | −3.76642e8 | + | 3.26362e8i | −0.435161 | + | 0.377069i | −0.844715 | − | 0.535217i | \(-0.820230\pi\) |
0.409554 | + | 0.912286i | \(0.365684\pi\) | |||||||
\(954\) | −1.47676e8 | + | 2.22904e8i | −0.170084 | + | 0.256728i | ||||
\(955\) | −7.22658e8 | + | 4.64424e8i | −0.829703 | + | 0.533218i | ||||
\(956\) | 1.82960e9 | − | 1.58535e9i | 2.09402 | − | 1.81448i | ||||
\(957\) | −4.15659e8 | + | 2.23226e8i | −0.474243 | + | 0.254688i | ||||
\(958\) | 3.33858e8 | − | 2.32203e9i | 0.379721 | − | 2.64102i | ||||
\(959\) | −1.57488e9 | − | 1.36464e9i | −1.78563 | − | 1.54725i | ||||
\(960\) | −5.14225e8 | − | 1.15617e8i | −0.581218 | − | 0.130679i | ||||
\(961\) | 3.88899e8 | + | 1.14191e8i | 0.438194 | + | 0.128665i | ||||
\(962\) | 1.22940e9 | − | 5.61450e8i | 1.38092 | − | 0.630646i | ||||
\(963\) | 2.21152e8 | − | 1.37814e8i | 0.247635 | − | 0.154317i | ||||
\(964\) | 9.38092e7 | + | 6.02875e7i | 0.104716 | + | 0.0672971i | ||||
\(965\) | 5.25026e8i | 0.584250i | ||||||||
\(966\) | −2.57548e9 | + | 5.03183e8i | −2.85710 | + | 0.558206i | ||||
\(967\) | −6.02367e8 | −0.666165 | −0.333083 | − | 0.942898i | \(-0.608089\pi\) | ||||
−0.333083 | + | 0.942898i | \(0.608089\pi\) | |||||||
\(968\) | 1.08475e9 | − | 1.68790e9i | 1.19592 | − | 1.86089i | ||||
\(969\) | −8.18393e8 | + | 2.98774e8i | −0.899479 | + | 0.328376i | ||||
\(970\) | 3.29820e7 | + | 7.22204e7i | 0.0361378 | + | 0.0791307i | ||||
\(971\) | 3.79331e8 | − | 1.29188e9i | 0.414344 | − | 1.41113i | −0.443065 | − | 0.896489i | \(-0.646109\pi\) |
0.857409 | − | 0.514636i | \(-0.172073\pi\) | |||||||
\(972\) | −1.24124e9 | − | 1.78429e9i | −1.35163 | − | 1.94297i | ||||
\(973\) | 3.74324e8 | − | 4.31993e8i | 0.406358 | − | 0.468962i | ||||
\(974\) | 2.68813e9 | + | 3.86495e8i | 2.90920 | + | 0.418280i | ||||
\(975\) | 3.04619e8 | − | 1.63593e8i | 0.328657 | − | 0.176502i | ||||
\(976\) | 6.57646e8 | + | 7.58964e8i | 0.707364 | + | 0.816341i | ||||
\(977\) | 1.32620e8 | + | 2.06361e8i | 0.142209 | + | 0.221281i | 0.905050 | − | 0.425304i | \(-0.139833\pi\) |
−0.762842 | + | 0.646585i | \(0.776197\pi\) | |||||||
\(978\) | 1.22901e9 | + | 1.24624e9i | 1.31383 | + | 1.33224i | ||||
\(979\) | −5.37593e6 | − | 6.20415e6i | −0.00572935 | − | 0.00661202i | ||||
\(980\) | −8.24052e8 | − | 2.80646e9i | −0.875541 | − | 2.98182i | ||||
\(981\) | −3.26512e8 | − | 1.17211e9i | −0.345853 | − | 1.24154i | ||||
\(982\) | 6.86308e8 | − | 7.92041e8i | 0.724744 | − | 0.836399i | ||||
\(983\) | 9.29159e8 | + | 4.24333e8i | 0.978204 | + | 0.446731i | 0.839356 | − | 0.543583i | \(-0.182933\pi\) |
0.138849 | + | 0.990314i | \(0.455660\pi\) | |||||||
\(984\) | −1.87622e9 | − | 1.47321e8i | −1.96924 | − | 0.154625i | ||||
\(985\) | 1.26735e8 | + | 2.77510e8i | 0.132613 | + | 0.290382i | ||||
\(986\) | −2.71280e9 | + | 3.90041e8i | −2.83000 | + | 0.406892i | ||||
\(987\) | 6.87224e8 | − | 1.80407e9i | 0.714738 | − | 1.87630i | ||||
\(988\) | −3.26766e9 | −3.38818 | ||||||||
\(989\) | −4.04236e8 | + | 1.30727e9i | −0.417875 | + | 1.35138i | ||||
\(990\) | 2.13188e8 | + | 4.84553e8i | 0.219713 | + | 0.499385i | ||||
\(991\) | −8.73993e8 | − | 5.61681e8i | −0.898022 | − | 0.577124i | 0.00818101 | − | 0.999967i | \(-0.497396\pi\) |
−0.906203 | + | 0.422843i | \(0.861032\pi\) | |||||||
\(992\) | 1.13476e9 | − | 1.63154e8i | 1.16244 | − | 0.167133i | ||||
\(993\) | 7.81230e8 | + | 1.05888e9i | 0.797868 | + | 1.08143i | ||||
\(994\) | 1.61170e9 | + | 4.73238e8i | 1.64106 | + | 0.481859i | ||||
\(995\) | 5.27709e8 | + | 2.40996e8i | 0.535704 | + | 0.244648i | ||||
\(996\) | −4.04464e9 | − | 2.24522e9i | −4.09356 | − | 2.27238i | ||||
\(997\) | 6.81909e7 | − | 4.74278e8i | 0.0688083 | − | 0.478572i | −0.926059 | − | 0.377380i | \(-0.876825\pi\) |
0.994867 | − | 0.101192i | \(-0.0322658\pi\) | |||||||
\(998\) | 1.36662e8 | + | 4.65427e8i | 0.137485 | + | 0.468231i | ||||
\(999\) | −5.39592e8 | − | 1.29236e8i | −0.541214 | − | 0.129624i |
(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 | 69.7.h.a.2.3 | ✓ | 460 | |
3.2 | odd | 2 | inner | 69.7.h.a.2.44 | yes | 460 | |
23.12 | even | 11 | inner | 69.7.h.a.35.44 | yes | 460 | |
69.35 | odd | 22 | inner | 69.7.h.a.35.3 | yes | 460 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.7.h.a.2.3 | ✓ | 460 | 1.1 | even | 1 | trivial | |
69.7.h.a.2.44 | yes | 460 | 3.2 | odd | 2 | inner | |
69.7.h.a.35.3 | yes | 460 | 69.35 | odd | 22 | inner | |
69.7.h.a.35.44 | yes | 460 | 23.12 | even | 11 | inner |