Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,4,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), degree \(6\), 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: | \(6.37220628062\) |
Analytic rank: | \(0\) |
Dimension: | \(312\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 59.17 | ||
Character | \(\chi\) | \(=\) | 108.59 |
Dual form | 108.4.l.a.11.17 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.74755 | − | 2.22397i | −0.617854 | − | 0.786293i | ||||
\(3\) | −2.88986 | − | 4.31841i | −0.556154 | − | 0.831079i | ||||
\(4\) | −1.89211 | + | 7.77303i | −0.236514 | + | 0.971628i | ||||
\(5\) | 3.28651 | + | 9.02962i | 0.293955 | + | 0.807634i | 0.995478 | + | 0.0949876i | \(0.0302812\pi\) |
−0.701524 | + | 0.712646i | \(0.747497\pi\) | |||||||
\(6\) | −4.55384 | + | 13.9736i | −0.309850 | + | 0.950786i | ||||
\(7\) | 18.0956 | − | 3.19074i | 0.977070 | − | 0.172284i | 0.337760 | − | 0.941232i | \(-0.390331\pi\) |
0.639311 | + | 0.768949i | \(0.279220\pi\) | |||||||
\(8\) | 20.5936 | − | 9.37578i | 0.910115 | − | 0.414355i | ||||
\(9\) | −10.2974 | + | 24.9592i | −0.381385 | + | 0.924416i | ||||
\(10\) | 14.3383 | − | 23.0889i | 0.453416 | − | 0.730134i | ||||
\(11\) | 49.0304 | + | 17.8456i | 1.34393 | + | 0.489150i | 0.911048 | − | 0.412300i | \(-0.135275\pi\) |
0.432882 | + | 0.901451i | \(0.357497\pi\) | |||||||
\(12\) | 39.0351 | − | 14.2921i | 0.939038 | − | 0.343814i | ||||
\(13\) | −45.2507 | − | 37.9699i | −0.965407 | − | 0.810073i | 0.0164169 | − | 0.999865i | \(-0.494774\pi\) |
−0.981824 | + | 0.189792i | \(0.939219\pi\) | |||||||
\(14\) | −38.7192 | − | 34.6681i | −0.739152 | − | 0.661818i | ||||
\(15\) | 29.4961 | − | 40.2869i | 0.507723 | − | 0.693468i | ||||
\(16\) | −56.8398 | − | 29.4148i | −0.888123 | − | 0.459607i | ||||
\(17\) | 48.9268 | + | 28.2479i | 0.698028 | + | 0.403007i | 0.806613 | − | 0.591080i | \(-0.201298\pi\) |
−0.108584 | + | 0.994087i | \(0.534632\pi\) | |||||||
\(18\) | 73.5039 | − | 20.7165i | 0.962502 | − | 0.271274i | ||||
\(19\) | −11.8846 | + | 6.86160i | −0.143501 | + | 0.0828505i | −0.570032 | − | 0.821623i | \(-0.693069\pi\) |
0.426530 | + | 0.904473i | \(0.359736\pi\) | |||||||
\(20\) | −76.4059 | + | 8.46111i | −0.854244 | + | 0.0945981i | ||||
\(21\) | −66.0727 | − | 68.9235i | −0.686583 | − | 0.716206i | ||||
\(22\) | −45.9952 | − | 140.228i | −0.445736 | − | 1.35895i | ||||
\(23\) | 32.1761 | − | 182.479i | 0.291703 | − | 1.65433i | −0.388605 | − | 0.921404i | \(-0.627043\pi\) |
0.680308 | − | 0.732926i | \(-0.261846\pi\) | |||||||
\(24\) | −100.001 | − | 61.8368i | −0.850526 | − | 0.525933i | ||||
\(25\) | 25.0227 | − | 20.9966i | 0.200182 | − | 0.167972i | ||||
\(26\) | −5.36586 | + | 166.991i | −0.0404743 | + | 1.25960i | ||||
\(27\) | 137.542 | − | 27.6604i | 0.980372 | − | 0.197157i | ||||
\(28\) | −9.43714 | + | 146.695i | −0.0636947 | + | 0.990097i | ||||
\(29\) | 199.157 | + | 237.347i | 1.27526 | + | 1.51980i | 0.734467 | + | 0.678645i | \(0.237432\pi\) |
0.540796 | + | 0.841154i | \(0.318123\pi\) | |||||||
\(30\) | −141.143 | + | 4.80506i | −0.858968 | + | 0.0292427i | ||||
\(31\) | 123.956 | + | 21.8568i | 0.718167 | + | 0.126632i | 0.520777 | − | 0.853693i | \(-0.325642\pi\) |
0.197390 | + | 0.980325i | \(0.436753\pi\) | |||||||
\(32\) | 33.9129 | + | 177.814i | 0.187344 | + | 0.982294i | ||||
\(33\) | −64.6264 | − | 263.305i | −0.340910 | − | 1.38896i | ||||
\(34\) | −22.6796 | − | 158.176i | −0.114398 | − | 0.797854i | ||||
\(35\) | 88.2826 | + | 152.910i | 0.426357 | + | 0.738471i | ||||
\(36\) | −174.525 | − | 127.267i | −0.807986 | − | 0.589201i | ||||
\(37\) | 41.7796 | − | 72.3645i | 0.185636 | − | 0.321531i | −0.758155 | − | 0.652075i | \(-0.773899\pi\) |
0.943791 | + | 0.330544i | \(0.107232\pi\) | |||||||
\(38\) | 36.0291 | + | 14.4401i | 0.153807 | + | 0.0616446i | ||||
\(39\) | −33.2012 | + | 305.139i | −0.136319 | + | 1.25286i | ||||
\(40\) | 152.341 | + | 155.138i | 0.602180 | + | 0.613238i | ||||
\(41\) | 29.6614 | − | 35.3491i | 0.112984 | − | 0.134649i | −0.706588 | − | 0.707625i | \(-0.749767\pi\) |
0.819572 | + | 0.572976i | \(0.194211\pi\) | |||||||
\(42\) | −37.8182 | + | 267.391i | −0.138940 | + | 0.982367i | ||||
\(43\) | 117.701 | − | 323.380i | 0.417422 | − | 1.14686i | −0.535736 | − | 0.844386i | \(-0.679966\pi\) |
0.953158 | − | 0.302473i | \(-0.0978121\pi\) | |||||||
\(44\) | −231.485 | + | 347.349i | −0.793130 | + | 1.19011i | ||||
\(45\) | −259.215 | − | 10.9526i | −0.858700 | − | 0.0362827i | ||||
\(46\) | −462.059 | + | 247.334i | −1.48102 | + | 0.792770i | ||||
\(47\) | 40.4260 | + | 229.267i | 0.125463 | + | 0.711533i | 0.981032 | + | 0.193846i | \(0.0620961\pi\) |
−0.855570 | + | 0.517688i | \(0.826793\pi\) | |||||||
\(48\) | 37.2339 | + | 330.463i | 0.111964 | + | 0.993712i | ||||
\(49\) | −5.04477 | + | 1.83614i | −0.0147078 | + | 0.00535319i | ||||
\(50\) | −90.4243 | − | 18.9572i | −0.255759 | − | 0.0536191i | ||||
\(51\) | −19.4056 | − | 292.918i | −0.0532809 | − | 0.804251i | ||||
\(52\) | 380.760 | − | 279.892i | 1.01542 | − | 0.746424i | ||||
\(53\) | 110.781i | 0.287113i | 0.989642 | + | 0.143556i | \(0.0458538\pi\) | ||||
−0.989642 | + | 0.143556i | \(0.954146\pi\) | |||||||
\(54\) | −301.879 | − | 257.552i | −0.760750 | − | 0.649045i | ||||
\(55\) | 501.376i | 1.22919i | ||||||||
\(56\) | 342.737 | − | 235.369i | 0.817860 | − | 0.561652i | ||||
\(57\) | 63.9762 | + | 31.4937i | 0.148664 | + | 0.0731832i | ||||
\(58\) | 179.814 | − | 857.697i | 0.407082 | − | 1.94174i | ||||
\(59\) | −510.698 | + | 185.879i | −1.12690 | + | 0.410159i | −0.837167 | − | 0.546948i | \(-0.815790\pi\) |
−0.289736 | + | 0.957107i | \(0.593567\pi\) | |||||||
\(60\) | 257.341 | + | 305.501i | 0.553710 | + | 0.657333i | ||||
\(61\) | 87.1157 | + | 494.058i | 0.182853 | + | 1.03701i | 0.928683 | + | 0.370874i | \(0.120942\pi\) |
−0.745830 | + | 0.666136i | \(0.767947\pi\) | |||||||
\(62\) | −168.011 | − | 313.871i | −0.344152 | − | 0.642930i | ||||
\(63\) | −106.699 | + | 484.509i | −0.213378 | + | 0.968926i | ||||
\(64\) | 336.189 | − | 386.161i | 0.656620 | − | 0.754222i | ||||
\(65\) | 194.136 | − | 533.385i | 0.370456 | − | 1.01782i | ||||
\(66\) | −472.645 | + | 603.867i | −0.881494 | + | 1.12623i | ||||
\(67\) | −148.811 | + | 177.346i | −0.271345 | + | 0.323377i | −0.884459 | − | 0.466618i | \(-0.845472\pi\) |
0.613114 | + | 0.789995i | \(0.289917\pi\) | |||||||
\(68\) | −312.146 | + | 326.861i | −0.556666 | + | 0.582907i | ||||
\(69\) | −881.006 | + | 388.391i | −1.53711 | + | 0.677635i | ||||
\(70\) | 185.789 | − | 463.556i | 0.317229 | − | 0.791508i | ||||
\(71\) | 396.938 | − | 687.516i | 0.663491 | − | 1.14920i | −0.316201 | − | 0.948692i | \(-0.602408\pi\) |
0.979692 | − | 0.200508i | \(-0.0642591\pi\) | |||||||
\(72\) | 21.9525 | + | 610.546i | 0.0359323 | + | 0.999354i | ||||
\(73\) | 228.548 | + | 395.856i | 0.366431 | + | 0.634678i | 0.989005 | − | 0.147884i | \(-0.0472461\pi\) |
−0.622573 | + | 0.782561i | \(0.713913\pi\) | |||||||
\(74\) | −233.949 | + | 33.5440i | −0.367513 | + | 0.0526948i | ||||
\(75\) | −162.984 | − | 47.3813i | −0.250930 | − | 0.0729483i | ||||
\(76\) | −30.8483 | − | 105.362i | −0.0465598 | − | 0.159025i | ||||
\(77\) | 944.175 | + | 166.484i | 1.39739 | + | 0.246397i | ||||
\(78\) | 736.642 | − | 459.408i | 1.06934 | − | 0.666894i | ||||
\(79\) | −331.037 | − | 394.515i | −0.471451 | − | 0.561853i | 0.476949 | − | 0.878931i | \(-0.341743\pi\) |
−0.948400 | + | 0.317078i | \(0.897298\pi\) | |||||||
\(80\) | 78.7999 | − | 609.914i | 0.110126 | − | 0.852381i | ||||
\(81\) | −516.928 | − | 514.030i | −0.709091 | − | 0.705117i | ||||
\(82\) | −130.450 | − | 4.19171i | −0.175681 | − | 0.00564509i | ||||
\(83\) | 171.861 | − | 144.208i | 0.227279 | − | 0.190710i | −0.522036 | − | 0.852924i | \(-0.674827\pi\) |
0.749315 | + | 0.662214i | \(0.230383\pi\) | |||||||
\(84\) | 660.761 | − | 383.174i | 0.858273 | − | 0.497711i | ||||
\(85\) | −94.2692 | + | 534.627i | −0.120293 | + | 0.682217i | ||||
\(86\) | −924.875 | + | 303.360i | −1.15967 | + | 0.380374i | ||||
\(87\) | 449.423 | − | 1545.94i | 0.553830 | − | 1.90509i | ||||
\(88\) | 1177.03 | − | 92.1938i | 1.42581 | − | 0.111681i | ||||
\(89\) | 425.857 | − | 245.869i | 0.507199 | − | 0.292832i | −0.224482 | − | 0.974478i | \(-0.572069\pi\) |
0.731682 | + | 0.681647i | \(0.238736\pi\) | |||||||
\(90\) | 428.634 | + | 595.627i | 0.502022 | + | 0.697607i | ||||
\(91\) | −939.991 | − | 542.704i | −1.08283 | − | 0.625174i | ||||
\(92\) | 1357.54 | + | 595.376i | 1.53840 | + | 0.674699i | ||||
\(93\) | −263.829 | − | 598.457i | −0.294170 | − | 0.667280i | ||||
\(94\) | 439.238 | − | 490.563i | 0.481956 | − | 0.538274i | ||||
\(95\) | −101.017 | − | 84.7630i | −0.109096 | − | 0.0915421i | ||||
\(96\) | 669.872 | − | 660.309i | 0.712172 | − | 0.702005i | ||||
\(97\) | −799.029 | − | 290.823i | −0.836383 | − | 0.304419i | −0.111907 | − | 0.993719i | \(-0.535696\pi\) |
−0.724476 | + | 0.689300i | \(0.757918\pi\) | |||||||
\(98\) | 12.8995 | + | 8.01066i | 0.0132964 | + | 0.00825713i | ||||
\(99\) | −950.298 | + | 1040.00i | −0.964733 | + | 1.05580i | ||||
\(100\) | 115.861 | + | 234.230i | 0.115861 | + | 0.234230i | ||||
\(101\) | 75.6200 | − | 13.3338i | 0.0744997 | − | 0.0131363i | −0.136274 | − | 0.990671i | \(-0.543513\pi\) |
0.210774 | + | 0.977535i | \(0.432402\pi\) | |||||||
\(102\) | −617.530 | + | 555.048i | −0.599457 | + | 0.538804i | ||||
\(103\) | 271.584 | + | 746.171i | 0.259806 | + | 0.713810i | 0.999179 | + | 0.0405143i | \(0.0128996\pi\) |
−0.739373 | + | 0.673296i | \(0.764878\pi\) | |||||||
\(104\) | −1287.87 | − | 357.674i | −1.21429 | − | 0.337239i | ||||
\(105\) | 405.204 | − | 823.129i | 0.376608 | − | 0.765040i | ||||
\(106\) | 246.374 | − | 193.596i | 0.225755 | − | 0.177394i | ||||
\(107\) | −1385.05 | −1.25138 | −0.625689 | − | 0.780073i | \(-0.715182\pi\) | ||||
−0.625689 | + | 0.780073i | \(0.715182\pi\) | |||||||
\(108\) | −45.2403 | + | 1121.46i | −0.0403079 | + | 0.999187i | ||||
\(109\) | −485.933 | −0.427009 | −0.213505 | − | 0.976942i | \(-0.568488\pi\) | ||||
−0.213505 | + | 0.976942i | \(0.568488\pi\) | |||||||
\(110\) | 1115.05 | − | 876.181i | 0.966504 | − | 0.759460i | ||||
\(111\) | −433.237 | + | 28.7016i | −0.370460 | + | 0.0245426i | ||||
\(112\) | −1122.41 | − | 350.918i | −0.946941 | − | 0.296059i | ||||
\(113\) | −187.687 | − | 515.666i | −0.156249 | − | 0.429290i | 0.836725 | − | 0.547623i | \(-0.184467\pi\) |
−0.992974 | + | 0.118333i | \(0.962245\pi\) | |||||||
\(114\) | −41.7607 | − | 197.318i | −0.0343092 | − | 0.162110i | ||||
\(115\) | 1753.47 | − | 309.184i | 1.42184 | − | 0.250709i | ||||
\(116\) | −2221.73 | + | 1098.97i | −1.77830 | + | 0.879628i | ||||
\(117\) | 1413.66 | − | 738.433i | 1.11704 | − | 0.583489i | ||||
\(118\) | 1305.86 | + | 810.946i | 1.01877 | + | 0.632658i | ||||
\(119\) | 975.491 | + | 355.050i | 0.751454 | + | 0.273507i | ||||
\(120\) | 229.708 | − | 1106.20i | 0.174745 | − | 0.841514i | ||||
\(121\) | 1065.91 | + | 894.406i | 0.800835 | + | 0.671980i | ||||
\(122\) | 946.532 | − | 1057.14i | 0.702418 | − | 0.784497i | ||||
\(123\) | −238.369 | − | 25.9362i | −0.174740 | − | 0.0190129i | ||||
\(124\) | −404.432 | + | 922.158i | −0.292896 | + | 0.667841i | ||||
\(125\) | 1312.05 | + | 757.510i | 0.938824 | + | 0.542030i | ||||
\(126\) | 1264.00 | − | 609.410i | 0.893696 | − | 0.430877i | ||||
\(127\) | −918.434 | + | 530.258i | −0.641715 | + | 0.370494i | −0.785275 | − | 0.619147i | \(-0.787478\pi\) |
0.143560 | + | 0.989642i | \(0.454145\pi\) | |||||||
\(128\) | −1446.32 | − | 72.8382i | −0.998734 | − | 0.0502973i | ||||
\(129\) | −1736.62 | + | 426.243i | −1.18528 | + | 0.290919i | ||||
\(130\) | −1525.50 | + | 500.366i | −1.02919 | + | 0.337577i | ||||
\(131\) | −411.077 | + | 2331.33i | −0.274168 | + | 1.55488i | 0.467425 | + | 0.884033i | \(0.345182\pi\) |
−0.741593 | + | 0.670850i | \(0.765929\pi\) | |||||||
\(132\) | 2168.96 | − | 4.14099i | 1.43018 | − | 0.00273051i | ||||
\(133\) | −193.166 | + | 162.086i | −0.125937 | + | 0.105674i | ||||
\(134\) | 654.467 | + | 21.0298i | 0.421921 | + | 0.0135574i | ||||
\(135\) | 701.797 | + | 1151.05i | 0.447416 | + | 0.733826i | ||||
\(136\) | 1272.42 | + | 122.998i | 0.802274 | + | 0.0775513i | ||||
\(137\) | 123.400 | + | 147.063i | 0.0769548 | + | 0.0917111i | 0.803148 | − | 0.595779i | \(-0.203157\pi\) |
−0.726193 | + | 0.687490i | \(0.758712\pi\) | |||||||
\(138\) | 2403.38 | + | 1280.60i | 1.48253 | + | 0.789941i | ||||
\(139\) | −1218.80 | − | 214.907i | −0.743721 | − | 0.131138i | −0.211067 | − | 0.977472i | \(-0.567694\pi\) |
−0.532653 | + | 0.846334i | \(0.678805\pi\) | |||||||
\(140\) | −1355.61 | + | 396.900i | −0.818359 | + | 0.239601i | ||||
\(141\) | 873.245 | − | 837.127i | 0.521564 | − | 0.499992i | ||||
\(142\) | −2222.69 | + | 318.693i | −1.31355 | + | 0.188339i | ||||
\(143\) | −1541.07 | − | 2669.21i | −0.901192 | − | 1.56091i | ||||
\(144\) | 1319.47 | − | 1115.78i | 0.763584 | − | 0.645708i | ||||
\(145\) | −1488.62 | + | 2578.36i | −0.852571 | + | 1.47670i | ||||
\(146\) | 480.974 | − | 1200.06i | 0.272642 | − | 0.680260i | ||||
\(147\) | 22.5079 | + | 16.4792i | 0.0126287 | + | 0.00924612i | ||||
\(148\) | 483.439 | + | 461.676i | 0.268503 | + | 0.256416i | ||||
\(149\) | −688.324 | + | 820.313i | −0.378454 | + | 0.451024i | −0.921326 | − | 0.388791i | \(-0.872893\pi\) |
0.542871 | + | 0.839816i | \(0.317337\pi\) | |||||||
\(150\) | 179.449 | + | 445.273i | 0.0976795 | + | 0.242376i | ||||
\(151\) | 934.339 | − | 2567.07i | 0.503546 | − | 1.38348i | −0.384244 | − | 0.923232i | \(-0.625538\pi\) |
0.887790 | − | 0.460249i | \(-0.152240\pi\) | |||||||
\(152\) | −180.414 | + | 252.733i | −0.0962732 | + | 0.134864i | ||||
\(153\) | −1208.86 | + | 930.296i | −0.638764 | + | 0.491568i | ||||
\(154\) | −1279.74 | − | 2390.76i | −0.669640 | − | 1.25099i | ||||
\(155\) | 210.025 | + | 1191.11i | 0.108836 | + | 0.617240i | ||||
\(156\) | −2309.03 | − | 835.430i | −1.18507 | − | 0.428769i | ||||
\(157\) | −3186.44 | + | 1159.77i | −1.61978 | + | 0.589552i | −0.983340 | − | 0.181774i | \(-0.941816\pi\) |
−0.636440 | + | 0.771326i | \(0.719594\pi\) | |||||||
\(158\) | −298.885 | + | 1425.65i | −0.150494 | + | 0.717842i | ||||
\(159\) | 478.399 | − | 320.143i | 0.238613 | − | 0.159679i | ||||
\(160\) | −1494.14 | + | 890.609i | −0.738263 | + | 0.440055i | ||||
\(161\) | − | 3404.74i | − | 1.66665i | ||||||
\(162\) | −239.830 | + | 2047.93i | −0.116314 | + | 0.993213i | ||||
\(163\) | 3446.63i | 1.65620i | 0.560579 | + | 0.828101i | \(0.310578\pi\) | ||||
−0.560579 | + | 0.828101i | \(0.689422\pi\) | |||||||
\(164\) | 218.647 | + | 297.443i | 0.104106 | + | 0.141624i | ||||
\(165\) | 2165.15 | − | 1448.91i | 1.02155 | − | 0.683620i | ||||
\(166\) | −621.052 | − | 130.202i | −0.290379 | − | 0.0608773i | ||||
\(167\) | 1464.96 | − | 533.201i | 0.678814 | − | 0.247068i | 0.0204757 | − | 0.999790i | \(-0.493482\pi\) |
0.658338 | + | 0.752722i | \(0.271260\pi\) | |||||||
\(168\) | −2006.88 | − | 799.896i | −0.921634 | − | 0.367341i | ||||
\(169\) | 224.412 | + | 1272.71i | 0.102145 | + | 0.579293i | ||||
\(170\) | 1353.74 | − | 724.637i | 0.610746 | − | 0.326924i | ||||
\(171\) | −48.8796 | − | 367.288i | −0.0218591 | − | 0.164253i | ||||
\(172\) | 2290.93 | + | 1526.76i | 1.01559 | + | 0.676827i | ||||
\(173\) | 344.373 | − | 946.157i | 0.151342 | − | 0.415809i | −0.840734 | − | 0.541449i | \(-0.817876\pi\) |
0.992076 | + | 0.125640i | \(0.0400983\pi\) | |||||||
\(174\) | −4223.53 | + | 1702.11i | −1.84014 | + | 0.741592i | ||||
\(175\) | 385.806 | − | 459.786i | 0.166653 | − | 0.198609i | ||||
\(176\) | −2261.96 | − | 2456.56i | −0.968757 | − | 1.05210i | ||||
\(177\) | 2278.55 | + | 1668.24i | 0.967606 | + | 0.708434i | ||||
\(178\) | −1291.01 | − | 517.425i | −0.543626 | − | 0.217880i | ||||
\(179\) | 1611.21 | − | 2790.70i | 0.672779 | − | 1.16529i | −0.304333 | − | 0.952566i | \(-0.598434\pi\) |
0.977113 | − | 0.212722i | \(-0.0682329\pi\) | |||||||
\(180\) | 575.598 | − | 1994.16i | 0.238348 | − | 0.825755i | ||||
\(181\) | −330.455 | − | 572.366i | −0.135705 | − | 0.235048i | 0.790162 | − | 0.612898i | \(-0.209997\pi\) |
−0.925866 | + | 0.377851i | \(0.876663\pi\) | |||||||
\(182\) | 435.726 | + | 3038.92i | 0.177462 | + | 1.23769i | ||||
\(183\) | 1881.79 | − | 1803.96i | 0.760143 | − | 0.728703i | ||||
\(184\) | −1048.27 | − | 4059.58i | −0.419996 | − | 1.62650i | ||||
\(185\) | 790.733 | + | 139.428i | 0.314248 | + | 0.0554104i | ||||
\(186\) | −869.896 | + | 1632.59i | −0.342924 | + | 0.643586i | ||||
\(187\) | 1894.80 | + | 2258.13i | 0.740970 | + | 0.883054i | ||||
\(188\) | −1858.59 | − | 119.566i | −0.721020 | − | 0.0463845i | ||||
\(189\) | 2400.65 | − | 939.394i | 0.923925 | − | 0.361539i | ||||
\(190\) | −11.9786 | + | 372.786i | −0.00457379 | + | 0.142341i | ||||
\(191\) | −1338.61 | + | 1123.23i | −0.507113 | + | 0.425518i | −0.860112 | − | 0.510105i | \(-0.829606\pi\) |
0.352999 | + | 0.935624i | \(0.385162\pi\) | |||||||
\(192\) | −2639.15 | − | 335.852i | −0.992000 | − | 0.126240i | ||||
\(193\) | 753.723 | − | 4274.57i | 0.281110 | − | 1.59425i | −0.437750 | − | 0.899097i | \(-0.644225\pi\) |
0.718860 | − | 0.695155i | \(-0.244664\pi\) | |||||||
\(194\) | 749.565 | + | 2285.25i | 0.277400 | + | 0.845728i | ||||
\(195\) | −2864.41 | + | 703.049i | −1.05192 | + | 0.258187i | ||||
\(196\) | −4.72715 | − | 42.6873i | −0.00172272 | − | 0.0155566i | ||||
\(197\) | −3588.42 | + | 2071.78i | −1.29779 | + | 0.749279i | −0.980022 | − | 0.198889i | \(-0.936267\pi\) |
−0.317768 | + | 0.948169i | \(0.602933\pi\) | |||||||
\(198\) | 3973.63 | + | 295.983i | 1.42623 | + | 0.106235i | ||||
\(199\) | −1084.99 | − | 626.421i | −0.386498 | − | 0.223145i | 0.294144 | − | 0.955761i | \(-0.404966\pi\) |
−0.680642 | + | 0.732617i | \(0.738299\pi\) | |||||||
\(200\) | 318.448 | − | 667.001i | 0.112588 | − | 0.235821i | ||||
\(201\) | 1195.90 | + | 130.122i | 0.419662 | + | 0.0456620i | ||||
\(202\) | −161.804 | − | 144.875i | −0.0563589 | − | 0.0504623i | ||||
\(203\) | 4361.19 | + | 3659.47i | 1.50786 | + | 1.26524i | ||||
\(204\) | 2313.58 | + | 403.394i | 0.794034 | + | 0.138447i | ||||
\(205\) | 416.671 | + | 151.656i | 0.141959 | + | 0.0516688i | ||||
\(206\) | 1184.86 | − | 1907.97i | 0.400742 | − | 0.645313i | ||||
\(207\) | 4223.22 | + | 2682.15i | 1.41804 | + | 0.900592i | ||||
\(208\) | 1455.17 | + | 3489.24i | 0.485085 | + | 1.16315i | ||||
\(209\) | −705.158 | + | 124.338i | −0.233382 | + | 0.0411515i | ||||
\(210\) | −2538.73 | + | 537.301i | −0.834234 | + | 0.176559i | ||||
\(211\) | −918.340 | − | 2523.12i | −0.299626 | − | 0.823216i | −0.994562 | − | 0.104145i | \(-0.966790\pi\) |
0.694936 | − | 0.719072i | \(-0.255433\pi\) | |||||||
\(212\) | −861.105 | − | 209.610i | −0.278967 | − | 0.0679061i | ||||
\(213\) | −4116.08 | + | 272.686i | −1.32408 | + | 0.0877191i | ||||
\(214\) | 2420.44 | + | 3080.30i | 0.773168 | + | 0.983949i | ||||
\(215\) | 3306.82 | 1.04894 | ||||||||
\(216\) | 2573.15 | − | 1859.19i | 0.810558 | − | 0.585658i | ||||
\(217\) | 2312.80 | 0.723516 | ||||||||
\(218\) | 849.195 | + | 1080.70i | 0.263829 | + | 0.335754i | ||||
\(219\) | 1049.00 | − | 2130.93i | 0.323675 | − | 0.657512i | ||||
\(220\) | −3897.21 | − | 948.658i | −1.19432 | − | 0.290720i | ||||
\(221\) | −1141.40 | − | 3135.98i | −0.347417 | − | 0.954520i | ||||
\(222\) | 820.937 | + | 913.350i | 0.248188 | + | 0.276126i | ||||
\(223\) | 5207.99 | − | 918.309i | 1.56391 | − | 0.275760i | 0.676398 | − | 0.736537i | \(-0.263540\pi\) |
0.887516 | + | 0.460777i | \(0.152429\pi\) | |||||||
\(224\) | 1181.03 | + | 3109.45i | 0.352282 | + | 0.927494i | ||||
\(225\) | 266.389 | + | 840.758i | 0.0789302 | + | 0.249113i | ||||
\(226\) | −818.834 | + | 1318.57i | −0.241009 | + | 0.388096i | ||||
\(227\) | −3902.72 | − | 1420.47i | −1.14111 | − | 0.415331i | −0.298797 | − | 0.954317i | \(-0.596585\pi\) |
−0.842315 | + | 0.538986i | \(0.818808\pi\) | |||||||
\(228\) | −365.851 | + | 437.699i | −0.106268 | + | 0.127137i | ||||
\(229\) | 3397.41 | + | 2850.77i | 0.980381 | + | 0.822637i | 0.984147 | − | 0.177356i | \(-0.0567543\pi\) |
−0.00376603 | + | 0.999993i | \(0.501199\pi\) | |||||||
\(230\) | −3751.89 | − | 3359.35i | −1.07562 | − | 0.963082i | ||||
\(231\) | −2009.59 | − | 4558.45i | −0.572387 | − | 1.29837i | ||||
\(232\) | 6326.67 | + | 3020.56i | 1.79037 | + | 0.854781i | ||||
\(233\) | −435.336 | − | 251.341i | −0.122403 | − | 0.0706692i | 0.437549 | − | 0.899195i | \(-0.355847\pi\) |
−0.559951 | + | 0.828526i | \(0.689180\pi\) | |||||||
\(234\) | −4112.71 | − | 1853.50i | −1.14896 | − | 0.517807i | ||||
\(235\) | −1937.34 | + | 1118.52i | −0.537778 | + | 0.310486i | ||||
\(236\) | −478.545 | − | 4321.37i | −0.131994 | − | 1.19194i | ||||
\(237\) | −747.026 | + | 2569.65i | −0.204745 | + | 0.704290i | ||||
\(238\) | −915.102 | − | 2789.93i | −0.249232 | − | 0.759851i | ||||
\(239\) | −273.123 | + | 1548.96i | −0.0739198 | + | 0.419220i | 0.925282 | + | 0.379279i | \(0.123828\pi\) |
−0.999202 | + | 0.0399408i | \(0.987283\pi\) | |||||||
\(240\) | −2861.58 | + | 1422.28i | −0.769643 | + | 0.382532i | ||||
\(241\) | 1968.40 | − | 1651.68i | 0.526123 | − | 0.441470i | −0.340637 | − | 0.940195i | \(-0.610643\pi\) |
0.866760 | + | 0.498725i | \(0.166198\pi\) | |||||||
\(242\) | 126.396 | − | 3933.58i | 0.0335747 | − | 1.04488i | ||||
\(243\) | −725.945 | + | 3717.78i | −0.191644 | + | 0.981465i | ||||
\(244\) | −4005.16 | − | 257.659i | −1.05084 | − | 0.0676021i | ||||
\(245\) | −33.1594 | − | 39.5178i | −0.00864683 | − | 0.0103049i | ||||
\(246\) | 358.882 | + | 575.451i | 0.0930140 | + | 0.149144i | ||||
\(247\) | 798.323 | + | 140.766i | 0.205652 | + | 0.0362620i | ||||
\(248\) | 2757.62 | − | 712.076i | 0.706085 | − | 0.182326i | ||||
\(249\) | −1119.41 | − | 325.424i | −0.284898 | − | 0.0828229i | ||||
\(250\) | −608.189 | − | 4241.74i | −0.153861 | − | 1.07309i | ||||
\(251\) | −3816.86 | − | 6611.00i | −0.959834 | − | 1.66248i | −0.722897 | − | 0.690955i | \(-0.757190\pi\) |
−0.236936 | − | 0.971525i | \(-0.576143\pi\) | |||||||
\(252\) | −3564.21 | − | 1746.12i | −0.890969 | − | 0.436488i | ||||
\(253\) | 4834.06 | − | 8372.84i | 1.20124 | − | 2.08062i | ||||
\(254\) | 2784.29 | + | 1115.92i | 0.687803 | + | 0.275665i | ||||
\(255\) | 2581.17 | − | 1137.91i | 0.633878 | − | 0.279445i | ||||
\(256\) | 2365.54 | + | 3343.87i | 0.577523 | + | 0.816374i | ||||
\(257\) | −945.824 | + | 1127.19i | −0.229568 | + | 0.273588i | −0.868516 | − | 0.495662i | \(-0.834926\pi\) |
0.638948 | + | 0.769250i | \(0.279370\pi\) | |||||||
\(258\) | 3982.80 | + | 3117.32i | 0.961078 | + | 0.752233i | ||||
\(259\) | 525.131 | − | 1442.79i | 0.125985 | − | 0.346140i | ||||
\(260\) | 3778.69 | + | 2518.25i | 0.901325 | + | 0.600674i | ||||
\(261\) | −7974.79 | + | 2526.77i | −1.89129 | + | 0.599245i | ||||
\(262\) | 5903.20 | − | 3159.91i | 1.39199 | − | 0.745114i | ||||
\(263\) | 220.856 | + | 1252.54i | 0.0517816 | + | 0.293668i | 0.999691 | − | 0.0248732i | \(-0.00791819\pi\) |
−0.947909 | + | 0.318541i | \(0.896807\pi\) | |||||||
\(264\) | −3799.58 | − | 4816.46i | −0.885787 | − | 1.12285i | ||||
\(265\) | −1000.31 | + | 364.084i | −0.231882 | + | 0.0843981i | ||||
\(266\) | 698.042 | + | 146.343i | 0.160901 | + | 0.0337325i | ||||
\(267\) | −2292.43 | − | 1128.50i | −0.525447 | − | 0.258663i | ||||
\(268\) | −1096.95 | − | 1492.27i | −0.250025 | − | 0.340130i | ||||
\(269\) | 4233.57i | 0.959575i | 0.877385 | + | 0.479787i | \(0.159286\pi\) | ||||
−0.877385 | + | 0.479787i | \(0.840714\pi\) | |||||||
\(270\) | 1333.47 | − | 3572.30i | 0.300565 | − | 0.805197i | ||||
\(271\) | − | 6622.70i | − | 1.48450i | −0.670122 | − | 0.742251i | \(-0.733758\pi\) | ||
0.670122 | − | 0.742251i | \(-0.266242\pi\) | |||||||
\(272\) | −1950.08 | − | 3044.78i | −0.434710 | − | 0.678738i | ||||
\(273\) | 372.824 | + | 5627.61i | 0.0826533 | + | 1.24761i | ||||
\(274\) | 111.415 | − | 531.439i | 0.0245650 | − | 0.117173i | ||||
\(275\) | 1601.57 | − | 582.924i | 0.351194 | − | 0.127824i | ||||
\(276\) | −1352.01 | − | 7582.96i | −0.294861 | − | 1.65377i | ||||
\(277\) | −819.849 | − | 4649.60i | −0.177834 | − | 1.00855i | −0.934822 | − | 0.355117i | \(-0.884441\pi\) |
0.756988 | − | 0.653429i | \(-0.226670\pi\) | |||||||
\(278\) | 1651.97 | + | 3086.14i | 0.356398 | + | 0.665806i | ||||
\(279\) | −1821.95 | + | 2868.78i | −0.390959 | + | 0.615590i | ||||
\(280\) | 3251.70 | + | 2321.24i | 0.694023 | + | 0.495431i | ||||
\(281\) | −2137.68 | + | 5873.24i | −0.453820 | + | 1.24686i | 0.476195 | + | 0.879340i | \(0.342016\pi\) |
−0.930015 | + | 0.367521i | \(0.880207\pi\) | |||||||
\(282\) | −3387.79 | − | 479.149i | −0.715390 | − | 0.101180i | ||||
\(283\) | −5349.42 | + | 6375.19i | −1.12364 | + | 1.33910i | −0.189628 | + | 0.981856i | \(0.560728\pi\) |
−0.934011 | + | 0.357245i | \(0.883716\pi\) | |||||||
\(284\) | 4593.03 | + | 4386.26i | 0.959670 | + | 0.916468i | ||||
\(285\) | −74.1176 | + | 681.185i | −0.0154047 | + | 0.141579i | ||||
\(286\) | −3243.14 | + | 8091.87i | −0.670528 | + | 1.67302i | ||||
\(287\) | 423.951 | − | 734.304i | 0.0871952 | − | 0.151026i | ||||
\(288\) | −4787.32 | − | 984.582i | −0.979499 | − | 0.201448i | ||||
\(289\) | −860.615 | − | 1490.63i | −0.175171 | − | 0.303405i | ||||
\(290\) | 8335.64 | − | 1195.18i | 1.68788 | − | 0.242012i | ||||
\(291\) | 1053.19 | + | 4290.98i | 0.212162 | + | 0.864404i | ||||
\(292\) | −3509.44 | + | 1027.50i | −0.703337 | + | 0.205925i | ||||
\(293\) | 1016.72 | + | 179.274i | 0.202721 | + | 0.0357451i | 0.274086 | − | 0.961705i | \(-0.411625\pi\) |
−0.0713656 | + | 0.997450i | \(0.522736\pi\) | |||||||
\(294\) | −2.68455 | − | 78.8552i | −0.000532537 | − | 0.0156426i | ||||
\(295\) | −3356.83 | − | 4000.52i | −0.662516 | − | 0.789556i | ||||
\(296\) | 181.918 | − | 1881.96i | 0.0357222 | − | 0.369549i | ||||
\(297\) | 7237.38 | + | 1098.33i | 1.41399 | + | 0.214584i | ||||
\(298\) | 3027.24 | + | 97.2732i | 0.588467 | + | 0.0189090i | ||||
\(299\) | −8384.71 | + | 7035.61i | −1.62174 | + | 1.36080i | ||||
\(300\) | 676.680 | − | 1177.23i | 0.130227 | − | 0.226558i | ||||
\(301\) | 1098.04 | − | 6227.30i | 0.210266 | − | 1.19248i | ||||
\(302\) | −7341.91 | + | 2408.16i | −1.39894 | + | 0.458854i | ||||
\(303\) | −276.112 | − | 288.025i | −0.0523506 | − | 0.0546093i | ||||
\(304\) | 877.354 | − | 40.4276i | 0.165525 | − | 0.00762724i | ||||
\(305\) | −4174.85 | + | 2410.35i | −0.783774 | + | 0.452512i | ||||
\(306\) | 4181.51 | + | 1062.74i | 0.781179 | + | 0.198538i | ||||
\(307\) | −4655.14 | − | 2687.65i | −0.865416 | − | 0.499648i | 0.000406119 | − | 1.00000i | \(-0.499871\pi\) |
−0.865822 | + | 0.500352i | \(0.833204\pi\) | |||||||
\(308\) | −3080.56 | + | 7024.09i | −0.569907 | + | 1.29946i | ||||
\(309\) | 2437.43 | − | 3329.14i | 0.448740 | − | 0.612907i | ||||
\(310\) | 2281.96 | − | 2548.62i | 0.418087 | − | 0.466941i | ||||
\(311\) | 1484.30 | + | 1245.48i | 0.270633 | + | 0.227088i | 0.767996 | − | 0.640454i | \(-0.221254\pi\) |
−0.497363 | + | 0.867542i | \(0.665698\pi\) | |||||||
\(312\) | 2177.19 | + | 6595.19i | 0.395061 | + | 1.19673i | ||||
\(313\) | −2268.86 | − | 825.799i | −0.409724 | − | 0.149128i | 0.128931 | − | 0.991654i | \(-0.458845\pi\) |
−0.538656 | + | 0.842526i | \(0.681068\pi\) | |||||||
\(314\) | 8147.77 | + | 5059.79i | 1.46435 | + | 0.909365i | ||||
\(315\) | −4725.60 | + | 628.893i | −0.845261 | + | 0.112489i | ||||
\(316\) | 3692.93 | − | 1826.70i | 0.657417 | − | 0.325189i | ||||
\(317\) | 546.031 | − | 96.2799i | 0.0967449 | − | 0.0170587i | −0.125066 | − | 0.992148i | \(-0.539914\pi\) |
0.221811 | + | 0.975090i | \(0.428803\pi\) | |||||||
\(318\) | −1548.02 | − | 504.480i | −0.272983 | − | 0.0889618i | ||||
\(319\) | 5529.18 | + | 15191.3i | 0.970453 | + | 2.66630i | ||||
\(320\) | 4591.78 | + | 1766.54i | 0.802151 | + | 0.308601i | ||||
\(321\) | 4002.59 | + | 5981.20i | 0.695959 | + | 1.03999i | ||||
\(322\) | −7572.05 | + | 5949.97i | −1.31048 | + | 1.02975i | ||||
\(323\) | −775.302 | −0.133557 | ||||||||
\(324\) | 4973.65 | − | 3045.49i | 0.852821 | − | 0.522203i | ||||
\(325\) | −1929.53 | −0.329327 | ||||||||
\(326\) | 7665.21 | − | 6023.17i | 1.30226 | − | 1.02329i | ||||
\(327\) | 1404.28 | + | 2098.46i | 0.237483 | + | 0.354878i | ||||
\(328\) | 279.408 | − | 1006.06i | 0.0470358 | − | 0.169361i | ||||
\(329\) | 1463.07 | + | 4019.74i | 0.245171 | + | 0.673603i | ||||
\(330\) | −7006.04 | − | 2283.19i | −1.16870 | − | 0.380864i | ||||
\(331\) | −5590.47 | + | 985.750i | −0.928338 | + | 0.163691i | −0.617319 | − | 0.786713i | \(-0.711781\pi\) |
−0.311019 | + | 0.950404i | \(0.600670\pi\) | |||||||
\(332\) | 795.756 | + | 1608.74i | 0.131545 | + | 0.265937i | ||||
\(333\) | 1375.94 | + | 1787.95i | 0.226430 | + | 0.294232i | ||||
\(334\) | −3745.92 | − | 2326.23i | −0.613676 | − | 0.381095i | ||||
\(335\) | −2090.43 | − | 760.856i | −0.340933 | − | 0.124090i | ||||
\(336\) | 1728.19 | + | 5861.12i | 0.280597 | + | 0.951637i | ||||
\(337\) | −4882.71 | − | 4097.08i | −0.789252 | − | 0.662261i | 0.156308 | − | 0.987708i | \(-0.450041\pi\) |
−0.945560 | + | 0.325447i | \(0.894485\pi\) | |||||||
\(338\) | 2438.29 | − | 2723.21i | 0.392383 | − | 0.438234i | ||||
\(339\) | −1684.47 | + | 2300.72i | −0.269876 | + | 0.368607i | ||||
\(340\) | −3977.30 | − | 1744.33i | −0.634410 | − | 0.278234i | ||||
\(341\) | 5687.57 | + | 3283.72i | 0.903224 | + | 0.521476i | ||||
\(342\) | −731.419 | + | 750.563i | −0.115645 | + | 0.118672i | ||||
\(343\) | −5543.59 | + | 3200.59i | −0.872670 | + | 0.503836i | ||||
\(344\) | −608.063 | − | 7763.07i | −0.0953039 | − | 1.21673i | ||||
\(345\) | −6402.46 | − | 6678.70i | −0.999121 | − | 1.04223i | ||||
\(346\) | −2706.04 | + | 887.584i | −0.420455 | + | 0.137910i | ||||
\(347\) | 473.597 | − | 2685.90i | 0.0732681 | − | 0.415524i | −0.926009 | − | 0.377502i | \(-0.876783\pi\) |
0.999277 | − | 0.0380221i | \(-0.0121057\pi\) | |||||||
\(348\) | 11166.3 | + | 6418.47i | 1.72005 | + | 0.988696i | ||||
\(349\) | 5235.18 | − | 4392.84i | 0.802959 | − | 0.673763i | −0.145957 | − | 0.989291i | \(-0.546626\pi\) |
0.948916 | + | 0.315528i | \(0.102182\pi\) | |||||||
\(350\) | −1696.77 | − | 54.5218i | −0.259132 | − | 0.00832660i | ||||
\(351\) | −7274.15 | − | 3970.81i | −1.10617 | − | 0.603836i | ||||
\(352\) | −1510.44 | + | 9323.51i | −0.228712 | + | 1.41177i | ||||
\(353\) | −2870.02 | − | 3420.35i | −0.432736 | − | 0.515714i | 0.504974 | − | 0.863135i | \(-0.331502\pi\) |
−0.937709 | + | 0.347420i | \(0.887058\pi\) | |||||||
\(354\) | −271.765 | − | 7982.78i | −0.0408027 | − | 1.19853i | ||||
\(355\) | 7512.55 | + | 1324.67i | 1.12317 | + | 0.198045i | ||||
\(356\) | 1105.37 | + | 3775.41i | 0.164564 | + | 0.562068i | ||||
\(357\) | −1285.78 | − | 5238.62i | −0.190619 | − | 0.776630i | ||||
\(358\) | −9022.11 | + | 1293.61i | −1.33194 | + | 0.190976i | ||||
\(359\) | 2360.36 | + | 4088.27i | 0.347006 | + | 0.601032i | 0.985716 | − | 0.168416i | \(-0.0538651\pi\) |
−0.638710 | + | 0.769447i | \(0.720532\pi\) | |||||||
\(360\) | −5440.85 | + | 2204.79i | −0.796550 | + | 0.322785i | ||||
\(361\) | −3335.34 | + | 5776.97i | −0.486272 | + | 0.842247i | ||||
\(362\) | −695.437 | + | 1735.16i | −0.100971 | + | 0.251929i | ||||
\(363\) | 782.077 | − | 7187.75i | 0.113081 | − | 1.03928i | ||||
\(364\) | 5997.02 | − | 6279.72i | 0.863542 | − | 0.904249i | ||||
\(365\) | −2823.31 | + | 3364.69i | −0.404873 | + | 0.482509i | ||||
\(366\) | −7300.50 | − | 1032.54i | −1.04263 | − | 0.147464i | ||||
\(367\) | 1645.76 | − | 4521.68i | 0.234081 | − | 0.643133i | −0.765919 | − | 0.642937i | \(-0.777716\pi\) |
1.00000 | 0.000195436i | \(-6.22092e-5\pi\) | ||||||||
\(368\) | −7196.49 | + | 9425.65i | −1.01941 | + | 1.33518i | ||||
\(369\) | 576.851 | + | 1104.33i | 0.0813812 | + | 0.155797i | ||||
\(370\) | −1071.77 | − | 2002.23i | −0.150590 | − | 0.281326i | ||||
\(371\) | 353.474 | + | 2004.65i | 0.0494649 | + | 0.280529i | ||||
\(372\) | 5151.01 | − | 918.406i | 0.717924 | − | 0.128003i | ||||
\(373\) | 8402.54 | − | 3058.28i | 1.16640 | − | 0.424535i | 0.315020 | − | 0.949085i | \(-0.397989\pi\) |
0.851380 | + | 0.524550i | \(0.175766\pi\) | |||||||
\(374\) | 1710.76 | − | 8160.19i | 0.236528 | − | 1.12822i | ||||
\(375\) | −520.391 | − | 7855.06i | −0.0716610 | − | 1.08169i | ||||
\(376\) | 2982.08 | + | 4342.40i | 0.409013 | + | 0.595592i | ||||
\(377\) | − | 18302.1i | − | 2.50028i | ||||||
\(378\) | −6284.46 | − | 3697.35i | −0.855126 | − | 0.503098i | ||||
\(379\) | − | 6105.87i | − | 0.827540i | −0.910381 | − | 0.413770i | \(-0.864212\pi\) | ||
0.910381 | − | 0.413770i | \(-0.135788\pi\) | |||||||
\(380\) | 850.000 | − | 624.824i | 0.114748 | − | 0.0843494i | ||||
\(381\) | 4944.02 | + | 2433.80i | 0.664803 | + | 0.327264i | ||||
\(382\) | 4837.33 | + | 1014.13i | 0.647904 | + | 0.135831i | ||||
\(383\) | 6460.76 | − | 2351.52i | 0.861957 | − | 0.313727i | 0.127051 | − | 0.991896i | \(-0.459449\pi\) |
0.734906 | + | 0.678170i | \(0.237226\pi\) | |||||||
\(384\) | 3865.13 | + | 6456.31i | 0.513649 | + | 0.858000i | ||||
\(385\) | 1599.76 | + | 9072.69i | 0.211770 | + | 1.20101i | ||||
\(386\) | −10823.7 | + | 5793.79i | −1.42723 | + | 0.763980i | ||||
\(387\) | 6859.30 | + | 6267.68i | 0.900976 | + | 0.823266i | ||||
\(388\) | 3772.43 | − | 5660.61i | 0.493598 | − | 0.740654i | ||||
\(389\) | −566.701 | + | 1557.00i | −0.0738635 | + | 0.202938i | −0.971130 | − | 0.238551i | \(-0.923328\pi\) |
0.897266 | + | 0.441489i | \(0.145550\pi\) | |||||||
\(390\) | 6569.27 | + | 5141.74i | 0.852943 | + | 0.667596i | ||||
\(391\) | 6728.93 | − | 8019.22i | 0.870324 | − | 1.03721i | ||||
\(392\) | −86.6744 | + | 85.1114i | −0.0111676 | + | 0.0109663i | ||||
\(393\) | 11255.6 | − | 4962.04i | 1.44471 | − | 0.636900i | ||||
\(394\) | 10878.5 | + | 4360.01i | 1.39100 | + | 0.557498i | ||||
\(395\) | 2474.36 | − | 4285.72i | 0.315186 | − | 0.545919i | ||||
\(396\) | −6285.87 | − | 9354.48i | −0.797669 | − | 1.18707i | ||||
\(397\) | 1674.27 | + | 2899.92i | 0.211660 | + | 0.366606i | 0.952234 | − | 0.305369i | \(-0.0987797\pi\) |
−0.740574 | + | 0.671975i | \(0.765446\pi\) | |||||||
\(398\) | 502.941 | + | 3507.70i | 0.0633420 | + | 0.441771i | ||||
\(399\) | 1258.18 | + | 365.766i | 0.157864 | + | 0.0458927i | ||||
\(400\) | −2039.90 | + | 457.402i | −0.254987 | + | 0.0571752i | ||||
\(401\) | −13677.2 | − | 2411.66i | −1.70326 | − | 0.300331i | −0.764430 | − | 0.644707i | \(-0.776979\pi\) |
−0.938832 | + | 0.344376i | \(0.888091\pi\) | |||||||
\(402\) | −1800.51 | − | 2887.03i | −0.223386 | − | 0.358190i | ||||
\(403\) | −4779.20 | − | 5695.63i | −0.590742 | − | 0.704019i | ||||
\(404\) | −39.4370 | + | 613.025i | −0.00485659 | + | 0.0754929i | ||||
\(405\) | 2942.61 | − | 6357.02i | 0.361035 | − | 0.779958i | ||||
\(406\) | 517.152 | − | 16094.3i | 0.0632163 | − | 1.96735i | ||||
\(407\) | 3339.86 | − | 2802.48i | 0.406759 | − | 0.341311i | ||||
\(408\) | −3145.97 | − | 5850.29i | −0.381737 | − | 0.709884i | ||||
\(409\) | −1503.65 | + | 8527.62i | −0.181787 | + | 1.03096i | 0.748228 | + | 0.663441i | \(0.230905\pi\) |
−0.930015 | + | 0.367522i | \(0.880206\pi\) | |||||||
\(410\) | −390.877 | − | 1191.69i | −0.0470830 | − | 0.143545i | ||||
\(411\) | 278.468 | − | 957.885i | 0.0334205 | − | 0.114961i | ||||
\(412\) | −6313.87 | + | 699.192i | −0.755005 | + | 0.0836086i | ||||
\(413\) | −8648.30 | + | 4993.10i | −1.03040 | + | 0.594901i | ||||
\(414\) | −1415.27 | − | 14079.5i | −0.168012 | − | 1.67143i | ||||
\(415\) | 1866.97 | + | 1077.90i | 0.220834 | + | 0.127498i | ||||
\(416\) | 5217.00 | − | 9333.89i | 0.614867 | − | 1.10008i | ||||
\(417\) | 2594.10 | + | 5884.33i | 0.304637 | + | 0.691024i | ||||
\(418\) | 1508.83 | + | 1350.96i | 0.176553 | + | 0.158081i | ||||
\(419\) | −76.7315 | − | 64.3854i | −0.00894649 | − | 0.00750700i | 0.638303 | − | 0.769785i | \(-0.279637\pi\) |
−0.647250 | + | 0.762278i | \(0.724081\pi\) | |||||||
\(420\) | 5631.52 | + | 4707.11i | 0.654261 | + | 0.546865i | ||||
\(421\) | −8088.51 | − | 2943.98i | −0.936365 | − | 0.340809i | −0.171636 | − | 0.985160i | \(-0.554905\pi\) |
−0.764730 | + | 0.644351i | \(0.777127\pi\) | |||||||
\(422\) | −4006.50 | + | 6451.65i | −0.462164 | + | 0.744221i | ||||
\(423\) | −6138.62 | − | 1351.85i | −0.705603 | − | 0.155388i | ||||
\(424\) | 1038.66 | + | 2281.38i | 0.118967 | + | 0.261306i | ||||
\(425\) | 1817.39 | − | 320.455i | 0.207427 | − | 0.0365749i | ||||
\(426\) | 7799.51 | + | 8677.51i | 0.887060 | + | 0.986917i | ||||
\(427\) | 3152.82 | + | 8662.31i | 0.357320 | + | 0.981730i | ||||
\(428\) | 2620.66 | − | 10766.0i | 0.295968 | − | 1.21587i | ||||
\(429\) | −7073.26 | + | 14368.6i | −0.796038 | + | 1.61707i | ||||
\(430\) | −5778.84 | − | 7354.27i | −0.648094 | − | 0.824778i | ||||
\(431\) | −6014.74 | −0.672204 | −0.336102 | − | 0.941826i | \(-0.609109\pi\) | ||||
−0.336102 | + | 0.941826i | \(0.609109\pi\) | |||||||
\(432\) | −8631.51 | − | 2473.57i | −0.961305 | − | 0.275486i | ||||
\(433\) | −6981.73 | −0.774875 | −0.387437 | − | 0.921896i | \(-0.626640\pi\) | ||||
−0.387437 | + | 0.921896i | \(0.626640\pi\) | |||||||
\(434\) | −4041.74 | − | 5143.60i | −0.447027 | − | 0.568896i | ||||
\(435\) | 15436.3 | − | 1022.64i | 1.70141 | − | 0.112717i | ||||
\(436\) | 919.439 | − | 3777.17i | 0.100993 | − | 0.414894i | ||||
\(437\) | 869.700 | + | 2389.48i | 0.0952023 | + | 0.261566i | ||||
\(438\) | −6572.32 | + | 1390.98i | −0.716981 | + | 0.151743i | ||||
\(439\) | −1124.05 | + | 198.201i | −0.122205 | + | 0.0215481i | −0.234416 | − | 0.972136i | \(-0.575318\pi\) |
0.112211 | + | 0.993684i | \(0.464207\pi\) | |||||||
\(440\) | 4700.79 | + | 10325.1i | 0.509321 | + | 1.11871i | ||||
\(441\) | 6.11914 | − | 144.821i | 0.000660743 | − | 0.0156377i | ||||
\(442\) | −4979.67 | + | 8018.75i | −0.535880 | + | 0.862925i | ||||
\(443\) | −4495.50 | − | 1636.23i | −0.482139 | − | 0.175484i | 0.0895045 | − | 0.995986i | \(-0.471472\pi\) |
−0.571643 | + | 0.820502i | \(0.693694\pi\) | |||||||
\(444\) | 596.634 | − | 3421.87i | 0.0637725 | − | 0.365754i | ||||
\(445\) | 3619.68 | + | 3037.27i | 0.385594 | + | 0.323552i | ||||
\(446\) | −11143.5 | − | 9977.63i | −1.18310 | − | 1.05932i | ||||
\(447\) | 5531.61 | + | 601.877i | 0.585316 | + | 0.0636864i | ||||
\(448\) | 4851.41 | − | 8060.52i | 0.511624 | − | 0.850053i | ||||
\(449\) | 10728.4 | + | 6194.02i | 1.12762 | + | 0.651033i | 0.943336 | − | 0.331839i | \(-0.107669\pi\) |
0.184287 | + | 0.982873i | \(0.441003\pi\) | |||||||
\(450\) | 1404.29 | − | 2061.71i | 0.147109 | − | 0.215978i | ||||
\(451\) | 2085.14 | − | 1203.85i | 0.217706 | − | 0.125692i | ||||
\(452\) | 4363.41 | − | 483.200i | 0.454066 | − | 0.0502828i | ||||
\(453\) | −13785.8 | + | 3383.63i | −1.42983 | + | 0.350942i | ||||
\(454\) | 3661.11 | + | 11161.9i | 0.378468 | + | 1.15386i | ||||
\(455\) | 1811.12 | − | 10271.4i | 0.186608 | − | 1.05831i | ||||
\(456\) | 1612.78 | + | 48.7407i | 0.165625 | + | 0.00500546i | ||||
\(457\) | 4498.71 | − | 3774.87i | 0.460484 | − | 0.386392i | −0.382825 | − | 0.923821i | \(-0.625049\pi\) |
0.843309 | + | 0.537429i | \(0.180604\pi\) | |||||||
\(458\) | 402.867 | − | 12537.6i | 0.0411021 | − | 1.27914i | ||||
\(459\) | 7510.85 | + | 2531.95i | 0.763783 | + | 0.257475i | ||||
\(460\) | −914.460 | + | 14214.8i | −0.0926890 | + | 1.44080i | ||||
\(461\) | −3282.64 | − | 3912.10i | −0.331644 | − | 0.395238i | 0.574294 | − | 0.818649i | \(-0.305277\pi\) |
−0.905937 | + | 0.423412i | \(0.860832\pi\) | |||||||
\(462\) | −6626.01 | + | 12435.4i | −0.667251 | + | 1.25227i | ||||
\(463\) | 12453.4 | + | 2195.87i | 1.25002 | + | 0.220412i | 0.759205 | − | 0.650851i | \(-0.225588\pi\) |
0.490815 | + | 0.871264i | \(0.336699\pi\) | |||||||
\(464\) | −4338.57 | − | 19348.9i | −0.434080 | − | 1.93589i | ||||
\(465\) | 4536.76 | − | 4349.11i | 0.452445 | − | 0.433732i | ||||
\(466\) | 201.797 | + | 1407.41i | 0.0200602 | + | 0.139907i | ||||
\(467\) | 9139.44 | + | 15830.0i | 0.905617 | + | 1.56857i | 0.820087 | + | 0.572239i | \(0.193925\pi\) |
0.0855298 | + | 0.996336i | \(0.472742\pi\) | |||||||
\(468\) | 3065.06 | + | 12385.6i | 0.302740 | + | 1.22335i | ||||
\(469\) | −2126.96 | + | 3684.00i | −0.209411 | + | 0.362710i | ||||
\(470\) | 5873.16 | + | 2353.91i | 0.576401 | + | 0.231016i | ||||
\(471\) | 14216.7 | + | 10408.8i | 1.39081 | + | 1.01828i | ||||
\(472\) | −8774.34 | + | 8616.11i | −0.855660 | + | 0.840230i | ||||
\(473\) | 11541.8 | − | 13755.0i | 1.12197 | − | 1.33711i | ||||
\(474\) | 7020.30 | − | 2829.24i | 0.680281 | − | 0.274159i | ||||
\(475\) | −153.316 | + | 421.232i | −0.0148097 | + | 0.0406894i | ||||
\(476\) | −4605.54 | + | 6910.72i | −0.443476 | + | 0.665446i | ||||
\(477\) | −2765.02 | − | 1140.76i | −0.265412 | − | 0.109500i | ||||
\(478\) | 3922.13 | − | 2099.47i | 0.375302 | − | 0.200894i | ||||
\(479\) | −1196.57 | − | 6786.11i | −0.114140 | − | 0.647318i | −0.987173 | − | 0.159657i | \(-0.948961\pi\) |
0.873033 | − | 0.487661i | \(-0.162150\pi\) | |||||||
\(480\) | 8163.88 | + | 3878.57i | 0.776309 | + | 0.368816i | ||||
\(481\) | −4638.23 | + | 1688.18i | −0.439678 | + | 0.160030i | ||||
\(482\) | −7113.18 | − | 1491.26i | −0.672192 | − | 0.140923i | ||||
\(483\) | −14703.1 | + | 9839.23i | −1.38512 | + | 0.926916i | ||||
\(484\) | −8969.06 | + | 6593.04i | −0.842323 | + | 0.619181i | ||||
\(485\) | − | 8170.72i | − | 0.764976i | ||||||
\(486\) | 9536.88 | − | 4882.55i | 0.890127 | − | 0.455714i | ||||
\(487\) | − | 4509.20i | − | 0.419571i | −0.977747 | − | 0.209786i | \(-0.932723\pi\) | ||
0.977747 | − | 0.209786i | \(-0.0672766\pi\) | |||||||
\(488\) | 6426.20 | + | 9357.63i | 0.596108 | + | 0.868033i | ||||
\(489\) | 14884.0 | − | 9960.28i | 1.37643 | − | 0.921104i | ||||
\(490\) | −29.9387 | + | 142.805i | −0.00276019 | + | 0.0131659i | ||||
\(491\) | 5554.97 | − | 2021.84i | 0.510575 | − | 0.185834i | −0.0738693 | − | 0.997268i | \(-0.523535\pi\) |
0.584444 | + | 0.811434i | \(0.301313\pi\) | |||||||
\(492\) | 652.623 | − | 1803.78i | 0.0598019 | − | 0.165286i | ||||
\(493\) | 3039.59 | + | 17238.4i | 0.277680 | + | 1.57480i | ||||
\(494\) | −1082.05 | − | 2021.44i | −0.0985503 | − | 0.184107i | ||||
\(495\) | −12514.0 | − | 5162.86i | −1.13628 | − | 0.468795i | ||||
\(496\) | −6402.73 | − | 4888.49i | −0.579619 | − | 0.442539i | ||||
\(497\) | 4989.14 | − | 13707.5i | 0.450289 | − | 1.23716i | ||||
\(498\) | 1232.49 | + | 3058.23i | 0.110902 | + | 0.275185i | ||||
\(499\) | −4590.83 | + | 5471.13i | −0.411851 | + | 0.490825i | −0.931595 | − | 0.363497i | \(-0.881583\pi\) |
0.519745 | + | 0.854322i | \(0.326027\pi\) | |||||||
\(500\) | −8370.68 | + | 8765.27i | −0.748696 | + | 0.783990i | ||||
\(501\) | −6536.11 | − | 4785.42i | −0.582858 | − | 0.426740i | ||||
\(502\) | −8032.51 | + | 20041.7i | −0.714160 | + | 1.78188i | ||||
\(503\) | −4814.95 | + | 8339.73i | −0.426815 | + | 0.739265i | −0.996588 | − | 0.0825370i | \(-0.973698\pi\) |
0.569773 | + | 0.821802i | \(0.307031\pi\) | |||||||
\(504\) | 2345.34 | + | 10978.1i | 0.207281 | + | 0.970249i | ||||
\(505\) | 368.926 | + | 638.998i | 0.0325089 | + | 0.0563070i | ||||
\(506\) | −27068.8 | + | 3881.17i | −2.37817 | + | 0.340986i | ||||
\(507\) | 4847.55 | − | 4647.05i | 0.424630 | − | 0.407067i | ||||
\(508\) | −2383.93 | − | 8142.32i | −0.208208 | − | 0.711135i | ||||
\(509\) | 15088.6 | + | 2660.54i | 1.31393 | + | 0.231682i | 0.786329 | − | 0.617808i | \(-0.211979\pi\) |
0.527605 | + | 0.849490i | \(0.323090\pi\) | |||||||
\(510\) | −7041.40 | − | 3751.89i | −0.611369 | − | 0.325758i | ||||
\(511\) | 5398.78 | + | 6434.02i | 0.467374 | + | 0.556995i | ||||
\(512\) | 3302.77 | − | 11104.5i | 0.285085 | − | 0.958502i | ||||
\(513\) | −1444.85 | + | 1272.49i | −0.124350 | + | 0.109517i | ||||
\(514\) | 4159.72 | + | 133.663i | 0.356960 | + | 0.0114701i | ||||
\(515\) | −5845.07 | + | 4904.60i | −0.500126 | + | 0.419655i | ||||
\(516\) | −27.3119 | − | 14305.3i | −0.00233011 | − | 1.22046i | ||||
\(517\) | −2109.31 | + | 11962.5i | −0.179434 | + | 1.01762i | ||||
\(518\) | −4126.41 | + | 1353.47i | −0.350008 | + | 0.114803i | ||||
\(519\) | −5081.09 | + | 1247.12i | −0.429740 | + | 0.105477i | ||||
\(520\) | −1002.94 | − | 12804.5i | −0.0845808 | − | 1.07983i | ||||
\(521\) | 1038.32 | − | 599.473i | 0.0873119 | − | 0.0504096i | −0.455708 | − | 0.890129i | \(-0.650614\pi\) |
0.543020 | + | 0.839720i | \(0.317281\pi\) | |||||||
\(522\) | 19555.8 | + | 13320.1i | 1.63972 | + | 1.11686i | ||||
\(523\) | −3988.69 | − | 2302.87i | −0.333486 | − | 0.192538i | 0.323902 | − | 0.946091i | \(-0.395005\pi\) |
−0.657388 | + | 0.753552i | \(0.728339\pi\) | |||||||
\(524\) | −17343.7 | − | 7606.45i | −1.44592 | − | 0.634140i | ||||
\(525\) | −3100.47 | − | 337.353i | −0.257744 | − | 0.0280443i | ||||
\(526\) | 2399.65 | − | 2680.05i | 0.198916 | − | 0.222159i | ||||
\(527\) | 5447.36 | + | 4570.88i | 0.450267 | + | 0.377819i | ||||
\(528\) | −4071.72 | + | 16867.2i | −0.335604 | + | 1.39025i | ||||
\(529\) | −20830.2 | − | 7581.58i | −1.71203 | − | 0.623127i | ||||
\(530\) | 2557.81 | + | 1588.41i | 0.209631 | + | 0.130181i | ||||
\(531\) | 619.461 | − | 14660.7i | 0.0506258 | − | 1.19816i | ||||
\(532\) | −894.404 | − | 1808.17i | −0.0728897 | − | 0.147357i | ||||
\(533\) | −2684.40 | + | 473.332i | −0.218150 | + | 0.0384658i | ||||
\(534\) | 1496.39 | + | 7070.42i | 0.121265 | + | 0.572972i | ||||
\(535\) | −4551.97 | − | 12506.4i | −0.367848 | − | 1.01065i | ||||
\(536\) | −1401.79 | + | 5047.40i | −0.112963 | + | 0.406744i | ||||
\(537\) | −16707.6 | + | 1106.86i | −1.34262 | + | 0.0889471i | ||||
\(538\) | 9415.35 | − | 7398.40i | 0.754507 | − | 0.592877i | ||||
\(539\) | −280.114 | −0.0223847 | ||||||||
\(540\) | −10275.0 | + | 3277.18i | −0.818826 | + | 0.261162i | ||||
\(541\) | 21417.2 | 1.70202 | 0.851012 | − | 0.525145i | \(-0.175989\pi\) | ||||
0.851012 | + | 0.525145i | \(0.175989\pi\) | |||||||
\(542\) | −14728.7 | + | 11573.5i | −1.16725 | + | 0.917205i | ||||
\(543\) | −1516.74 | + | 3081.10i | −0.119870 | + | 0.243504i | ||||
\(544\) | −3363.63 | + | 9657.84i | −0.265100 | + | 0.761170i | ||||
\(545\) | −1597.03 | − | 4387.79i | −0.125521 | − | 0.344867i | ||||
\(546\) | 11864.1 | − | 10663.7i | 0.929922 | − | 0.835832i | ||||
\(547\) | 13460.6 | − | 2373.46i | 1.05216 | − | 0.185525i | 0.379286 | − | 0.925280i | \(-0.376170\pi\) |
0.672876 | + | 0.739755i | \(0.265059\pi\) | |||||||
\(548\) | −1376.61 | + | 680.935i | −0.107310 | + | 0.0530805i | ||||
\(549\) | −13228.4 | − | 2913.16i | −1.02837 | − | 0.226468i | ||||
\(550\) | −4095.24 | − | 2543.16i | −0.317494 | − | 0.197165i | ||||
\(551\) | −3995.49 | − | 1454.24i | −0.308918 | − | 0.112437i | ||||
\(552\) | −14501.6 | + | 16258.5i | −1.11817 | + | 1.25364i | ||||
\(553\) | −7249.12 | − | 6082.73i | −0.557439 | − | 0.467747i | ||||
\(554\) | −8907.84 | + | 9948.74i | −0.683137 | + | 0.762963i | ||||
\(555\) | −1683.00 | − | 3817.64i | −0.128720 | − | 0.291981i | ||||
\(556\) | 3976.58 | − | 9067.12i | 0.303317 | − | 0.691604i | ||||
\(557\) | 3889.83 | + | 2245.79i | 0.295902 | + | 0.170839i | 0.640600 | − | 0.767874i | \(-0.278686\pi\) |
−0.344698 | + | 0.938713i | \(0.612019\pi\) | |||||||
\(558\) | 9564.06 | − | 961.377i | 0.725589 | − | 0.0729361i | ||||
\(559\) | −17604.7 | + | 10164.1i | −1.33202 | + | 0.769043i | ||||
\(560\) | −520.148 | − | 11288.2i | −0.0392505 | − | 0.851809i | ||||
\(561\) | 4275.85 | − | 14708.2i | 0.321794 | − | 1.10692i | ||||
\(562\) | 16797.6 | − | 5509.65i | 1.26079 | − | 0.413542i | ||||
\(563\) | −263.958 | + | 1496.98i | −0.0197593 | + | 0.112061i | −0.993092 | − | 0.117337i | \(-0.962564\pi\) |
0.973333 | + | 0.229397i | \(0.0736755\pi\) | |||||||
\(564\) | 4854.73 | + | 8371.69i | 0.362449 | + | 0.625021i | ||||
\(565\) | 4039.43 | − | 3389.49i | 0.300779 | − | 0.252384i | ||||
\(566\) | 23526.6 | + | 755.974i | 1.74717 | + | 0.0561413i | ||||
\(567\) | −10994.3 | − | 7652.30i | −0.814312 | − | 0.566784i | ||||
\(568\) | 1728.36 | − | 17880.0i | 0.127677 | − | 1.32082i | ||||
\(569\) | 9677.56 | + | 11533.3i | 0.713013 | + | 0.849735i | 0.993932 | − | 0.109996i | \(-0.0350838\pi\) |
−0.280919 | + | 0.959731i | \(0.590639\pi\) | |||||||
\(570\) | 1644.46 | − | 1025.57i | 0.120840 | − | 0.0753623i | ||||
\(571\) | −6147.94 | − | 1084.05i | −0.450584 | − | 0.0794501i | −0.0562486 | − | 0.998417i | \(-0.517914\pi\) |
−0.394335 | + | 0.918967i | \(0.629025\pi\) | |||||||
\(572\) | 23663.7 | − | 6928.32i | 1.72977 | − | 0.506447i | ||||
\(573\) | 8718.98 | + | 2534.70i | 0.635673 | + | 0.184797i | ||||
\(574\) | −2373.95 | + | 340.381i | −0.172625 | + | 0.0247513i | ||||
\(575\) | −3026.31 | − | 5241.72i | −0.219488 | − | 0.380165i | ||||
\(576\) | 6176.42 | + | 12367.5i | 0.446790 | + | 0.894639i | ||||
\(577\) | −2246.17 | + | 3890.48i | −0.162061 | + | 0.280698i | −0.935608 | − | 0.353041i | \(-0.885148\pi\) |
0.773547 | + | 0.633739i | \(0.218481\pi\) | |||||||
\(578\) | −1811.15 | + | 4518.94i | −0.130335 | + | 0.325195i | ||||
\(579\) | −20637.5 | + | 9098.04i | −1.48129 | + | 0.653026i | ||||
\(580\) | −17225.0 | − | 16449.6i | −1.23316 | − | 1.17764i | ||||
\(581\) | 2649.79 | − | 3157.90i | 0.189212 | − | 0.225494i | ||||
\(582\) | 7702.51 | − | 9840.99i | 0.548590 | − | 0.700897i | ||||
\(583\) | −1976.96 | + | 5431.65i | −0.140441 | + | 0.385859i | ||||
\(584\) | 8418.07 | + | 6009.28i | 0.596477 | + | 0.425797i | ||||
\(585\) | 11313.8 | + | 10338.0i | 0.799603 | + | 0.730637i | ||||
\(586\) | −1378.06 | − | 2574.44i | −0.0971456 | − | 0.181483i | ||||
\(587\) | 313.508 | + | 1777.99i | 0.0220440 | + | 0.125018i | 0.993844 | − | 0.110789i | \(-0.0353378\pi\) |
−0.971800 | + | 0.235807i | \(0.924227\pi\) | |||||||
\(588\) | −170.681 | + | 143.774i | −0.0119707 | + | 0.0100836i | ||||
\(589\) | −1623.15 | + | 590.777i | −0.113549 | + | 0.0413286i | ||||
\(590\) | −3030.80 | + | 14456.6i | −0.211485 | + | 1.00876i | ||||
\(591\) | 19316.8 | + | 9509.14i | 1.34448 | + | 0.661851i | ||||
\(592\) | −4503.34 | + | 2884.24i | −0.312645 | + | 0.200239i | ||||
\(593\) | 14057.3i | 0.973467i | 0.873551 | + | 0.486733i | \(0.161812\pi\) | ||||
−0.873551 | + | 0.486733i | \(0.838188\pi\) | |||||||
\(594\) | −10205.1 | − | 18015.1i | −0.704913 | − | 1.24439i | ||||
\(595\) | 9975.18i | 0.687299i | ||||||||
\(596\) | −5073.93 | − | 6902.48i | −0.348718 | − | 0.474390i | ||||
\(597\) | 430.336 | + | 6495.72i | 0.0295016 | + | 0.445313i | ||||
\(598\) | 30299.7 | + | 6352.26i | 2.07199 | + | 0.434387i | ||||
\(599\) | −5522.78 | + | 2010.13i | −0.376719 | + | 0.137115i | −0.523438 | − | 0.852064i | \(-0.675351\pi\) |
0.146719 | + | 0.989178i | \(0.453129\pi\) | |||||||
\(600\) | −3800.66 | + | 552.353i | −0.258602 | + | 0.0375829i | ||||
\(601\) | 4772.36 | + | 27065.4i | 0.323908 | + | 1.83697i | 0.517243 | + | 0.855838i | \(0.326958\pi\) |
−0.193336 | + | 0.981133i | \(0.561931\pi\) | |||||||
\(602\) | −15768.2 | + | 8440.53i | −1.06755 | + | 0.571445i | ||||
\(603\) | −2894.06 | − | 5540.41i | −0.195448 | − | 0.374167i | ||||
\(604\) | 18186.1 | + | 12119.8i | 1.22513 | + | 0.816471i | ||||
\(605\) | −4573.01 | + | 12564.2i | −0.307305 | + | 0.844313i | ||||
\(606\) | −158.039 | + | 1117.41i | −0.0105939 | + | 0.0749035i | ||||
\(607\) | −6406.53 | + | 7635.01i | −0.428391 | + | 0.510536i | −0.936457 | − | 0.350782i | \(-0.885916\pi\) |
0.508067 | + | 0.861318i | \(0.330360\pi\) | |||||||
\(608\) | −1623.13 | − | 1880.56i | −0.108268 | − | 0.125439i | ||||
\(609\) | 3199.87 | − | 29408.8i | 0.212915 | − | 1.95682i | ||||
\(610\) | 12656.3 | + | 5072.53i | 0.840065 | + | 0.336690i | ||||
\(611\) | 6875.94 | − | 11909.5i | 0.455272 | − | 0.788553i | ||||
\(612\) | −4943.91 | − | 11156.7i | −0.326545 | − | 0.736903i | ||||
\(613\) | −2983.90 | − | 5168.26i | −0.196604 | − | 0.340529i | 0.750821 | − | 0.660506i | \(-0.229658\pi\) |
−0.947425 | + | 0.319977i | \(0.896325\pi\) | |||||||
\(614\) | 2157.86 | + | 15049.7i | 0.141831 | + | 0.989180i | ||||
\(615\) | −549.209 | − | 2237.62i | −0.0360102 | − | 0.146715i | ||||
\(616\) | 21004.8 | − | 5423.89i | 1.37388 | − | 0.354764i | ||||
\(617\) | −13038.2 | − | 2298.98i | −0.850723 | − | 0.150005i | −0.268747 | − | 0.963211i | \(-0.586609\pi\) |
−0.581977 | + | 0.813205i | \(0.697721\pi\) | |||||||
\(618\) | −11663.5 | + | 397.071i | −0.759181 | + | 0.0258455i | ||||
\(619\) | 329.796 | + | 393.035i | 0.0214146 | + | 0.0255209i | 0.776645 | − | 0.629938i | \(-0.216920\pi\) |
−0.755231 | + | 0.655459i | \(0.772475\pi\) | |||||||
\(620\) | −9655.91 | − | 621.182i | −0.625469 | − | 0.0402375i | ||||
\(621\) | −621.884 | − | 25988.7i | −0.0401857 | − | 1.67937i | ||||
\(622\) | 176.009 | − | 5477.58i | 0.0113462 | − | 0.353104i | ||||
\(623\) | 6921.63 | − | 5807.94i | 0.445119 | − | 0.373499i | ||||
\(624\) | 10862.8 | − | 16367.4i | 0.696889 | − | 1.05004i | ||||
\(625\) | −1818.95 | + | 10315.8i | −0.116413 | + | 0.660209i | ||||
\(626\) | 2128.41 | + | 6489.02i | 0.135892 | + | 0.414302i | ||||
\(627\) | 2574.76 | + | 2685.84i | 0.163997 | + | 0.171072i | ||||
\(628\) | −2985.82 | − | 26962.7i | −0.189725 | − | 1.71326i | ||||
\(629\) | 4088.29 | − | 2360.37i | 0.259158 | − | 0.149625i | ||||
\(630\) | 9656.88 | + | 9410.57i | 0.610697 | + | 0.595121i | ||||
\(631\) | −5356.56 | − | 3092.61i | −0.337942 | − | 0.195111i | 0.321420 | − | 0.946937i | \(-0.395840\pi\) |
−0.659362 | + | 0.751826i | \(0.729173\pi\) | |||||||
\(632\) | −10516.1 | − | 5020.74i | −0.661881 | − | 0.316003i | ||||
\(633\) | −8241.99 | + | 11257.2i | −0.517519 | + | 0.706848i | ||||
\(634\) | −1168.34 | − | 1046.10i | −0.0731874 | − | 0.0655300i | ||||
\(635\) | −7806.47 | − | 6550.41i | −0.487859 | − | 0.409362i | ||||
\(636\) | 1583.29 | + | 4324.35i | 0.0987132 | + | 0.269610i | ||||
\(637\) | 297.998 | + | 108.462i | 0.0185355 | + | 0.00674636i | ||||
\(638\) | 24122.5 | − | 38844.3i | 1.49689 | − | 2.41044i | ||||
\(639\) | 13072.5 | + | 16986.9i | 0.809294 | + | 1.05163i | ||||
\(640\) | −4095.65 | − | 13299.1i | −0.252961 | − | 0.821396i | ||||
\(641\) | 17534.2 | − | 3091.75i | 1.08043 | − | 0.190510i | 0.395027 | − | 0.918670i | \(-0.370735\pi\) |
0.685407 | + | 0.728160i | \(0.259624\pi\) | |||||||
\(642\) | 6307.28 | − | 19354.1i | 0.387739 | − | 1.18979i | ||||
\(643\) | −4994.86 | − | 13723.3i | −0.306342 | − | 0.841669i | −0.993362 | − | 0.115030i | \(-0.963304\pi\) |
0.687020 | − | 0.726639i | \(-0.258919\pi\) | |||||||
\(644\) | 26465.1 | + | 6442.14i | 1.61937 | + | 0.394186i | ||||
\(645\) | −9556.25 | − | 14280.2i | −0.583375 | − | 0.871756i | ||||
\(646\) | 1354.88 | + | 1724.25i | 0.0825188 | + | 0.105015i | ||||
\(647\) | −7016.36 | −0.426340 | −0.213170 | − | 0.977015i | \(-0.568379\pi\) | ||||
−0.213170 | + | 0.977015i | \(0.568379\pi\) | |||||||
\(648\) | −15464.8 | − | 5739.11i | −0.937523 | − | 0.347922i | ||||
\(649\) | −28356.9 | −1.71511 | ||||||||
\(650\) | 3371.96 | + | 4291.23i | 0.203476 | + | 0.258947i | ||||
\(651\) | −6683.67 | − | 9987.62i | −0.402387 | − | 0.601299i | ||||
\(652\) | −26790.7 | − | 6521.40i | −1.60921 | − | 0.391714i | ||||
\(653\) | 7805.27 | + | 21444.8i | 0.467755 | + | 1.28515i | 0.919532 | + | 0.393015i | \(0.128568\pi\) |
−0.451778 | + | 0.892131i | \(0.649210\pi\) | |||||||
\(654\) | 2212.86 | − | 6790.26i | 0.132309 | − | 0.405994i | ||||
\(655\) | −22402.1 | + | 3950.09i | −1.33637 | + | 0.235638i | ||||
\(656\) | −2725.73 | + | 1136.75i | −0.162229 | + | 0.0676565i | ||||
\(657\) | −12233.7 | + | 1628.09i | −0.726458 | + | 0.0966787i | ||||
\(658\) | 6383.01 | − | 10278.5i | 0.378169 | − | 0.608965i | ||||
\(659\) | −1097.14 | − | 399.326i | −0.0648536 | − | 0.0236048i | 0.309390 | − | 0.950935i | \(-0.399875\pi\) |
−0.374243 | + | 0.927331i | \(0.622097\pi\) | |||||||
\(660\) | 7165.69 | + | 19571.2i | 0.422613 | + | 1.15426i | ||||
\(661\) | −4145.23 | − | 3478.26i | −0.243919 | − | 0.204673i | 0.512629 | − | 0.858610i | \(-0.328672\pi\) |
−0.756549 | + | 0.653937i | \(0.773116\pi\) | |||||||
\(662\) | 11961.9 | + | 10710.4i | 0.702286 | + | 0.628809i | ||||
\(663\) | −10244.0 | + | 13991.6i | −0.600064 | + | 0.819591i | ||||
\(664\) | 2187.16 | − | 4581.10i | 0.127829 | − | 0.267743i | ||||
\(665\) | −2098.41 | − | 1211.52i | −0.122365 | − | 0.0706477i | ||||
\(666\) | 1571.83 | − | 6184.60i | 0.0914521 | − | 0.359832i | ||||
\(667\) | 49719.0 | − | 28705.3i | 2.88625 | − | 1.66638i | ||||
\(668\) | 1372.73 | + | 12396.0i | 0.0795095 | + | 0.717990i | ||||
\(669\) | −19016.0 | − | 19836.5i | −1.09896 | − | 1.14637i | ||||
\(670\) | 1961.02 | + | 5978.71i | 0.113076 | + | 0.344743i | ||||
\(671\) | −4545.45 | + | 25778.5i | −0.261513 | + | 1.48311i | ||||
\(672\) | 10014.9 | − | 14086.1i | 0.574898 | − | 0.808604i | ||||
\(673\) | 13193.5 | − | 11070.7i | 0.755682 | − | 0.634092i | −0.181317 | − | 0.983425i | \(-0.558036\pi\) |
0.936999 | + | 0.349332i | \(0.113592\pi\) | |||||||
\(674\) | −578.995 | + | 18018.9i | −0.0330891 | + | 1.02976i | ||||
\(675\) | 2860.91 | − | 3580.05i | 0.163136 | − | 0.204143i | ||||
\(676\) | −10317.4 | − | 663.736i | −0.587016 | − | 0.0377638i | ||||
\(677\) | 18209.5 | + | 21701.2i | 1.03375 | + | 1.23197i | 0.972270 | + | 0.233863i | \(0.0751366\pi\) |
0.0614768 | + | 0.998109i | \(0.480419\pi\) | |||||||
\(678\) | 8060.43 | − | 274.409i | 0.456577 | − | 0.0155437i | ||||
\(679\) | −15386.9 | − | 2713.12i | −0.869651 | − | 0.153343i | ||||
\(680\) | 3071.21 | + | 11893.7i | 0.173199 | + | 0.670740i | ||||
\(681\) | 5144.12 | + | 20958.5i | 0.289462 | + | 1.17934i | ||||
\(682\) | −2636.43 | − | 18387.5i | −0.148027 | − | 1.03239i | ||||
\(683\) | −7084.51 | − | 12270.7i | −0.396898 | − | 0.687447i | 0.596444 | − | 0.802655i | \(-0.296580\pi\) |
−0.993341 | + | 0.115208i | \(0.963247\pi\) | |||||||
\(684\) | 2947.43 | + | 315.007i | 0.164763 | + | 0.0176091i | ||||
\(685\) | −922.364 | + | 1597.58i | −0.0514478 | + | 0.0891101i | ||||
\(686\) | 16805.8 | + | 6735.58i | 0.935345 | + | 0.374877i | ||||
\(687\) | 2492.74 | − | 22909.7i | 0.138434 | − | 1.27229i | ||||
\(688\) | −16202.2 | + | 14918.7i | −0.897826 | + | 0.826701i | ||||
\(689\) | 4206.35 | − | 5012.93i | 0.232582 | − | 0.277181i | ||||
\(690\) | −3664.59 | + | 25910.3i | −0.202187 | + | 1.42955i | ||||
\(691\) | −7526.42 | + | 20678.7i | −0.414354 | + | 1.13843i | 0.540498 | + | 0.841345i | \(0.318236\pi\) |
−0.954852 | + | 0.297083i | \(0.903986\pi\) | |||||||
\(692\) | 6702.91 | + | 4467.05i | 0.368217 | + | 0.245393i | ||||
\(693\) | −13877.8 | + | 21851.6i | −0.760715 | + | 1.19780i | ||||
\(694\) | −6801.01 | + | 3640.49i | −0.371993 | + | 0.199123i | ||||
\(695\) | −2065.07 | − | 11711.6i | −0.112709 | − | 0.639202i | ||||
\(696\) | −5239.20 | − | 36050.2i | −0.285333 | − | 1.96333i | ||||
\(697\) | 2449.77 | − | 891.644i | 0.133130 | − | 0.0484554i | ||||
\(698\) | −18918.3 | − | 3966.18i | −1.02589 | − | 0.215074i | ||||
\(699\) | 172.665 | + | 2606.30i | 0.00934306 | + | 0.141029i | ||||
\(700\) | 2843.94 | + | 3868.85i | 0.153558 | + | 0.208898i | ||||
\(701\) | − | 16174.8i | − | 0.871486i | −0.900071 | − | 0.435743i | \(-0.856486\pi\) | ||
0.900071 | − | 0.435743i | \(-0.143514\pi\) | |||||||
\(702\) | 3881.00 | + | 23116.7i | 0.208659 | + | 1.24286i | ||||
\(703\) | 1146.70i | 0.0615201i | ||||||||
\(704\) | 23374.8 | − | 12934.2i | 1.25138 | − | 0.692435i | ||||
\(705\) | 10428.9 | + | 5133.84i | 0.557126 | + | 0.274258i | ||||
\(706\) | −2591.26 | + | 12360.1i | −0.138135 | + | 0.658893i | ||||
\(707\) | 1325.84 | − | 482.568i | 0.0705283 | − | 0.0256702i | ||||
\(708\) | −17278.6 | + | 14554.7i | −0.917186 | + | 0.772599i | ||||
\(709\) | −263.961 | − | 1497.00i | −0.0139820 | − | 0.0792960i | 0.977018 | − | 0.213155i | \(-0.0683741\pi\) |
−0.991000 | + | 0.133859i | \(0.957263\pi\) | |||||||
\(710\) | −10182.6 | − | 19022.6i | −0.538232 | − | 1.00550i | ||||
\(711\) | 13255.6 | − | 4199.97i | 0.699191 | − | 0.221535i | ||||
\(712\) | 6464.70 | − | 9056.05i | 0.340274 | − | 0.476671i | ||||
\(713\) | 7976.84 | − | 21916.2i | 0.418983 | − | 1.15115i | ||||
\(714\) | −9403.56 | + | 12014.3i | −0.492885 | + | 0.629726i | ||||
\(715\) | 19037.2 | − | 22687.6i | 0.995734 | − | 1.18667i | ||||
\(716\) | 18643.6 | + | 17804.3i | 0.973105 | + | 0.929298i | ||||
\(717\) | 7478.32 | − | 3296.81i | 0.389516 | − | 0.171718i | ||||
\(718\) | 4967.33 | − | 12393.8i | 0.258188 | − | 0.644198i | ||||
\(719\) | −17615.4 | + | 30510.7i | −0.913688 | + | 1.58255i | −0.104878 | + | 0.994485i | \(0.533445\pi\) |
−0.808811 | + | 0.588069i | \(0.799888\pi\) | |||||||
\(720\) | 14411.6 | + | 8247.31i | 0.745955 | + | 0.426888i | ||||
\(721\) | 7295.31 | + | 12635.9i | 0.376826 | + | 0.652682i | ||||
\(722\) | 18676.5 | − | 2677.87i | 0.962698 | − | 0.138033i | ||||
\(723\) | −12821.0 | − | 3727.22i | −0.659502 | − | 0.191725i | ||||
\(724\) | 5074.27 | − | 1485.66i | 0.260475 | − | 0.0762626i | ||||
\(725\) | 9966.92 | + | 1757.44i | 0.510569 | + | 0.0900270i | ||||
\(726\) | −17352.1 | + | 10821.7i | −0.887047 | + | 0.553209i | ||||
\(727\) | 1770.47 | + | 2109.96i | 0.0903205 | + | 0.107640i | 0.809312 | − | 0.587379i | \(-0.199840\pi\) |
−0.718991 | + | 0.695019i | \(0.755396\pi\) | |||||||
\(728\) | −24446.0 | − | 2363.06i | −1.24455 | − | 0.120303i | ||||
\(729\) | 18152.8 | − | 7608.95i | 0.922258 | − | 0.386575i | ||||
\(730\) | 12416.8 | + | 398.987i | 0.629546 | + | 0.0202290i | ||||
\(731\) | 14893.5 | − | 12497.1i | 0.753565 | − | 0.632316i | ||||
\(732\) | 10461.7 | + | 18040.5i | 0.528244 | + | 0.910925i | ||||
\(733\) | 6630.40 | − | 37602.8i | 0.334105 | − | 1.89481i | −0.101785 | − | 0.994806i | \(-0.532455\pi\) |
0.435891 | − | 0.900000i | \(-0.356433\pi\) | |||||||
\(734\) | −12932.1 | + | 4241.76i | −0.650319 | + | 0.213306i | ||||
\(735\) | −74.8282 | + | 257.397i | −0.00375521 | + | 0.0129173i | ||||
\(736\) | 33538.6 | − | 467.048i | 1.67969 | − | 0.0233908i | ||||
\(737\) | −10461.1 | + | 6039.72i | −0.522849 | + | 0.301867i | ||||
\(738\) | 1447.92 | − | 3212.77i | 0.0722203 | − | 0.160249i | ||||
\(739\) | 22736.8 | + | 13127.1i | 1.13178 | + | 0.653435i | 0.944383 | − | 0.328848i | \(-0.106660\pi\) |
0.187400 | + | 0.982284i | \(0.439994\pi\) | |||||||
\(740\) | −2579.93 | + | 5882.57i | −0.128162 | + | 0.292227i | ||||
\(741\) | −1699.16 | − | 3854.28i | −0.0842377 | − | 0.191080i | ||||
\(742\) | 3840.58 | − | 4289.36i | 0.190016 | − | 0.212220i | ||||
\(743\) | −13911.0 | − | 11672.7i | −0.686871 | − | 0.576353i | 0.231134 | − | 0.972922i | \(-0.425756\pi\) |
−0.918005 | + | 0.396569i | \(0.870201\pi\) | |||||||
\(744\) | −11044.2 | − | 9850.75i | −0.544220 | − | 0.485411i | ||||
\(745\) | −9669.30 | − | 3519.34i | −0.475511 | − | 0.173072i | ||||
\(746\) | −21485.4 | − | 13342.5i | −1.05447 | − | 0.654832i | ||||
\(747\) | 1829.62 | + | 5774.49i | 0.0896146 | + | 0.282835i | ||||
\(748\) | −21137.7 | + | 10455.7i | −1.03325 | + | 0.511093i | ||||
\(749\) | −25063.2 | + | 4419.32i | −1.22268 | + | 0.215592i | ||||
\(750\) | −16560.0 | + | 14884.5i | −0.806249 | + | 0.724672i | ||||
\(751\) | −2978.78 | − | 8184.14i | −0.144737 | − | 0.397661i | 0.846048 | − | 0.533107i | \(-0.178976\pi\) |
−0.990785 | + | 0.135446i | \(0.956753\pi\) | |||||||
\(752\) | 4446.05 | − | 14220.6i | 0.215599 | − | 0.689592i | ||||
\(753\) | −17518.8 | + | 35587.7i | −0.847837 | + | 1.72229i | ||||
\(754\) | −40703.4 | + | 31983.9i | −1.96595 | + | 1.54481i | ||||
\(755\) | 26250.4 | 1.26537 | ||||||||
\(756\) | 2759.63 | + | 20437.8i | 0.132760 | + | 0.983221i | ||||
\(757\) | 11747.3 | 0.564019 | 0.282010 | − | 0.959412i | \(-0.408999\pi\) | ||||
0.282010 | + | 0.959412i | \(0.408999\pi\) | |||||||
\(758\) | −13579.3 | + | 10670.3i | −0.650689 | + | 0.511299i | ||||
\(759\) | −50127.2 | + | 3320.88i | −2.39724 | + | 0.158815i | ||||
\(760\) | −2875.01 | − | 798.462i | −0.137221 | − | 0.0381096i | ||||
\(761\) | −344.513 | − | 946.541i | −0.0164107 | − | 0.0450881i | 0.931217 | − | 0.364466i | \(-0.118748\pi\) |
−0.947628 | + | 0.319378i | \(0.896526\pi\) | |||||||
\(762\) | −3227.23 | − | 15248.6i | −0.153425 | − | 0.724931i | ||||
\(763\) | −8793.26 | + | 1550.49i | −0.417218 | + | 0.0735668i | ||||
\(764\) | −6198.09 | − | 12530.3i | −0.293507 | − | 0.593366i | ||||
\(765\) | −12373.2 | − | 7858.15i | −0.584774 | − | 0.371388i | ||||
\(766\) | −16520.3 | − | 10259.1i | −0.779244 | − | 0.483914i | ||||
\(767\) | 30167.3 | + | 10980.0i | 1.42018 | + | 0.516903i | ||||
\(768\) | 7604.14 | − | 19878.7i | 0.357279 | − | 0.933998i | ||||
\(769\) | −155.666 | − | 130.619i | −0.00729969 | − | 0.00612517i | 0.639130 | − | 0.769098i | \(-0.279294\pi\) |
−0.646430 | + | 0.762973i | \(0.723739\pi\) | |||||||
\(770\) | 17381.8 | − | 19412.8i | 0.813500 | − | 0.908559i | ||||
\(771\) | 7600.97 | + | 827.038i | 0.355048 | + | 0.0386317i | ||||
\(772\) | 31800.2 | + | 13946.7i | 1.48253 | + | 0.650196i | ||||
\(773\) | 29447.0 | + | 17001.2i | 1.37016 | + | 0.791063i | 0.990948 | − | 0.134247i | \(-0.0428616\pi\) |
0.379213 | + | 0.925310i | \(0.376195\pi\) | |||||||
\(774\) | 1952.15 | − | 26208.0i | 0.0906573 | − | 1.21709i | ||||
\(775\) | 3560.64 | − | 2055.73i | 0.165035 | − | 0.0952828i | ||||
\(776\) | −19181.6 | + | 1502.45i | −0.887342 | + | 0.0695034i | ||||
\(777\) | −7748.10 | + | 1901.72i | −0.357737 | + | 0.0878042i | ||||
\(778\) | 4453.06 | − | 1460.61i | 0.205206 | − | 0.0673078i | ||||
\(779\) | −109.964 | + | 623.635i | −0.00505759 | + | 0.0286830i | ||||
\(780\) | −45.0484 | − | 23595.3i | −0.00206794 | − | 1.08314i | ||||
\(781\) | 31731.2 | − | 26625.6i | 1.45382 | − | 1.21990i | ||||
\(782\) | −29593.7 | − | 950.925i | −1.35328 | − | 0.0434847i | ||||
\(783\) | 33957.7 | + | 27136.4i | 1.54987 | + | 1.23854i | ||||
\(784\) | 340.754 | + | 44.0248i | 0.0155227 | + | 0.00200550i | ||||
\(785\) | −20944.5 | − | 24960.7i | −0.952284 | − | 1.13489i | ||||
\(786\) | −30705.2 | − | 16360.8i | −1.39341 | − | 0.742455i | ||||
\(787\) | −40818.5 | − | 7197.41i | −1.84882 | − | 0.325997i | −0.864535 | − | 0.502573i | \(-0.832387\pi\) |
−0.984287 | + | 0.176575i | \(0.943498\pi\) | |||||||
\(788\) | −9314.29 | − | 31812.9i | −0.421076 | − | 1.43818i | ||||
\(789\) | 4770.73 | − | 4573.40i | 0.215263 | − | 0.206359i | ||||
\(790\) | −13855.4 | + | 1986.61i | −0.623991 | + | 0.0894691i | ||||
\(791\) | −5041.67 | − | 8732.43i | −0.226626 | − | 0.392528i | ||||
\(792\) | −9819.22 | + | 30327.1i | −0.440544 | + | 1.36064i | ||||
\(793\) | 14817.3 | − | 25664.3i | 0.663527 | − | 1.14926i | ||||
\(794\) | 3523.46 | − | 8791.29i | 0.157485 | − | 0.392936i | ||||
\(795\) | 4463.03 | + | 3267.61i | 0.199104 | + | 0.145774i | ||||
\(796\) | 6922.11 | − | 7248.42i | 0.308226 | − | 0.322756i | ||||
\(797\) | −19521.2 | + | 23264.5i | −0.867600 | + | 1.03396i | 0.131491 | + | 0.991317i | \(0.458024\pi\) |
−0.999090 | + | 0.0426476i | \(0.986421\pi\) | |||||||
\(798\) | −1385.28 | − | 3437.34i | −0.0614515 | − | 0.152482i | ||||
\(799\) | −4498.40 | + | 12359.3i | −0.199176 | + | 0.547233i | ||||
\(800\) | 4582.08 | + | 3737.34i | 0.202501 | + | 0.165169i | ||||
\(801\) | 1751.48 | + | 13160.9i | 0.0772603 | + | 0.580545i | ||||
\(802\) | 18538.2 | + | 34632.3i | 0.816218 | + | 1.52482i | ||||
\(803\) | 4141.49 | + | 23487.6i | 0.182005 | + | 1.03220i | ||||
\(804\) | −3274.20 | + | 9049.52i | −0.143622 | + | 0.396955i | ||||
\(805\) | 30743.5 | − | 11189.7i | 1.34605 | − | 0.489920i | ||||
\(806\) | −4315.02 | + | 20582.2i | −0.188573 | + | 0.899477i | ||||
\(807\) | 18282.3 | − | 12234.4i | 0.797482 | − | 0.533672i | ||||
\(808\) | 1432.27 | − | 983.588i | 0.0623602 | − | 0.0428249i | ||||
\(809\) | − | 17775.6i | − | 0.772504i | −0.922393 | − | 0.386252i | \(-0.873769\pi\) | ||
0.922393 | − | 0.386252i | \(-0.126231\pi\) | |||||||
\(810\) | −19280.2 | + | 4564.97i | −0.836343 | + | 0.198020i | ||||
\(811\) | 34652.0i | 1.50037i | 0.661230 | + | 0.750184i | \(0.270035\pi\) | ||||
−0.661230 | + | 0.750184i | \(0.729965\pi\) | |||||||
\(812\) | −36697.0 | + | 26975.5i | −1.58597 | + | 1.16583i | ||||
\(813\) | −28599.5 | + | 19138.7i | −1.23374 | + | 0.825612i | ||||
\(814\) | −12069.2 | − | 2530.28i | −0.519688 | − | 0.108951i | ||||
\(815\) | −31121.7 | + | 11327.4i | −1.33760 | + | 0.486848i | ||||
\(816\) | −7513.14 | + | 17220.3i | −0.322319 | + | 0.738762i | ||||
\(817\) | 820.073 | + | 4650.86i | 0.0351171 | + | 0.199159i | ||||
\(818\) | 21592.9 | − | 11558.4i | 0.922956 | − | 0.494047i | ||||
\(819\) | 23224.9 | − | 17873.0i | 0.990897 | − | 0.762557i | ||||
\(820\) | −1967.21 | + | 2951.84i | −0.0837781 | + | 0.125711i | ||||
\(821\) | −855.115 | + | 2349.41i | −0.0363504 | + | 0.0998720i | −0.956540 | − | 0.291601i | \(-0.905812\pi\) |
0.920190 | + | 0.391473i | \(0.128034\pi\) | |||||||
\(822\) | −2616.95 | + | 1054.65i | −0.111042 | + | 0.0447508i | ||||
\(823\) | −4403.51 | + | 5247.90i | −0.186509 | + | 0.222273i | −0.851194 | − | 0.524851i | \(-0.824121\pi\) |
0.664685 | + | 0.747123i | \(0.268566\pi\) | |||||||
\(824\) | 12588.8 | + | 12820.0i | 0.532224 | + | 0.541998i | ||||
\(825\) | −7145.63 | − | 5231.67i | −0.301550 | − | 0.220780i | ||||
\(826\) | 26217.9 | + | 10507.9i | 1.10440 | + | 0.442634i | ||||
\(827\) | 13397.3 | − | 23204.8i | 0.563325 | − | 0.975708i | −0.433878 | − | 0.900972i | \(-0.642855\pi\) |
0.997203 | − | 0.0747363i | \(-0.0238115\pi\) | |||||||
\(828\) | −28839.2 | + | 27752.3i | −1.21043 | + | 1.16480i | ||||
\(829\) | −5067.40 | − | 8777.00i | −0.212302 | − | 0.367717i | 0.740133 | − | 0.672461i | \(-0.234763\pi\) |
−0.952435 | + | 0.304743i | \(0.901429\pi\) | |||||||
\(830\) | −865.421 | − | 6035.77i | −0.0361918 | − | 0.252415i | ||||
\(831\) | −17709.6 | + | 16977.1i | −0.739278 | + | 0.708701i | ||||
\(832\) | −29875.3 | + | 4709.02i | −1.24488 | + | 0.196221i | ||||
\(833\) | −298.691 | − | 52.6673i | −0.0124238 | − | 0.00219065i | ||||
\(834\) | 8553.25 | − | 16052.4i | 0.355126 | − | 0.666486i | ||||
\(835\) | 9629.21 | + | 11475.6i | 0.399081 | + | 0.475606i | ||||
\(836\) | 367.751 | − | 5716.47i | 0.0152140 | − | 0.236493i | ||||
\(837\) | 17653.8 | − | 422.438i | 0.729037 | − | 0.0174452i | ||||
\(838\) | −9.09888 | + | 283.166i | −0.000375078 | + | 0.0116728i | ||||
\(839\) | 5834.62 | − | 4895.83i | 0.240087 | − | 0.201457i | −0.514802 | − | 0.857309i | \(-0.672135\pi\) |
0.754890 | + | 0.655852i | \(0.227690\pi\) | |||||||
\(840\) | 627.107 | − | 20750.3i | 0.0257586 | − | 0.852324i | ||||
\(841\) | −12434.6 | + | 70520.2i | −0.509845 | + | 2.89148i | ||||
\(842\) | 7587.78 | + | 23133.4i | 0.310561 | + | 0.946828i | ||||
\(843\) | 31540.7 | − | 7741.45i | 1.28863 | − | 0.316287i | ||||
\(844\) | 21349.9 | − | 2364.26i | 0.870726 | − | 0.0964233i | ||||
\(845\) | −10754.5 | + | 6209.12i | −0.437830 | + | 0.252782i | ||||
\(846\) | 7721.09 | + | 16014.6i | 0.313778 | + | 0.650818i | ||||
\(847\) | 22142.1 | + | 12783.8i | 0.898243 | + | 0.518601i | ||||
\(848\) | 3258.61 | − | 6296.79i | 0.131959 | − | 0.254991i | ||||
\(849\) | 42989.8 | + | 4677.58i | 1.73782 | + | 0.189086i | ||||
\(850\) | −3888.67 | − | 3481.81i | −0.156918 | − | 0.140500i | ||||
\(851\) | −11860.7 | − | 9952.33i | −0.477768 | − | 0.400895i | ||||
\(852\) | 5668.47 | − | 32510.3i | 0.227933 | − | 1.30726i | ||||
\(853\) | −35678.2 | − | 12985.8i | −1.43212 | − | 0.521249i | −0.494582 | − | 0.869131i | \(-0.664679\pi\) |
−0.937538 | + | 0.347882i | \(0.886901\pi\) | |||||||
\(854\) | 13755.0 | − | 22149.6i | 0.551156 | − | 0.887524i | ||||
\(855\) | 3155.83 | − | 1648.46i | 0.126230 | − | 0.0659370i | ||||
\(856\) | −28523.0 | + | 12985.9i | −1.13890 | + | 0.518514i | ||||
\(857\) | −33496.9 | + | 5906.41i | −1.33516 | + | 0.235425i | −0.795242 | − | 0.606292i | \(-0.792656\pi\) |
−0.539919 | + | 0.841717i | \(0.681545\pi\) | |||||||
\(858\) | 44316.3 | − | 9379.16i | 1.76333 | − | 0.373193i | ||||
\(859\) | −7493.33 | − | 20587.8i | −0.297636 | − | 0.817748i | −0.994894 | − | 0.100928i | \(-0.967819\pi\) |
0.697258 | − | 0.716820i | \(-0.254403\pi\) | |||||||
\(860\) | −6256.86 | + | 25704.0i | −0.248090 | + | 1.01918i | ||||
\(861\) | −4396.19 | + | 291.244i | −0.174009 | + | 0.0115279i | ||||
\(862\) | 10511.1 | + | 13376.6i | 0.415324 | + | 0.528549i | ||||
\(863\) | 22243.3 | 0.877371 | 0.438685 | − | 0.898641i | \(-0.355444\pi\) | ||||
0.438685 | + | 0.898641i | \(0.355444\pi\) | |||||||
\(864\) | 9582.87 | + | 23519.0i | 0.377333 | + | 0.926078i | ||||
\(865\) | 9675.22 | 0.380309 | ||||||||
\(866\) | 12201.0 | + | 15527.2i | 0.478759 | + | 0.609278i | ||||
\(867\) | −3950.09 | + | 8024.20i | −0.154731 | + | 0.314321i | ||||
\(868\) | −4376.07 | + | 17977.4i | −0.171122 | + | 0.702989i | ||||
\(869\) | −9190.54 | − | 25250.8i | −0.358766 | − | 0.985702i | ||||
\(870\) | −29250.1 | − | 32542.8i | −1.13985 | − | 1.26817i | ||||
\(871\) | 13467.6 | − | 2374.70i | 0.523918 | − | 0.0923808i | ||||
\(872\) | −10007.1 | + | 4556.01i | −0.388627 | + | 0.176933i | ||||
\(873\) | 15486.6 | − | 16948.5i | 0.600393 | − | 0.657066i | ||||
\(874\) | 3794.29 | − | 6109.94i | 0.146847 | − | 0.236467i | ||||
\(875\) | 26159.3 | + | 9521.20i | 1.01068 | + | 0.367857i | ||||
\(876\) | 14579.0 | + | 12185.9i | 0.562304 | + | 0.470002i | ||||
\(877\) | −545.564 | − | 457.783i | −0.0210062 | − | 0.0176263i | 0.632224 | − | 0.774786i | \(-0.282142\pi\) |
−0.653230 | + | 0.757159i | \(0.726587\pi\) | |||||||
\(878\) | 2405.14 | + | 2153.50i | 0.0924482 | + | 0.0827757i | ||||
\(879\) | −2163.99 | − | 4908.68i | −0.0830370 | − | 0.188357i | ||||
\(880\) | 14747.9 | − | 28498.1i | 0.564944 | − | 1.09167i | ||||
\(881\) | −31196.8 | − | 18011.5i | −1.19302 | − | 0.688788i | −0.234026 | − | 0.972230i | \(-0.575190\pi\) |
−0.958989 | + | 0.283442i | \(0.908524\pi\) | |||||||
\(882\) | −332.772 | + | 239.474i | −0.0127041 | + | 0.00914229i | ||||
\(883\) | 3585.39 | − | 2070.02i | 0.136645 | − | 0.0788923i | −0.430119 | − | 0.902772i | \(-0.641528\pi\) |
0.566764 | + | 0.823880i | \(0.308195\pi\) | |||||||
\(884\) | 26535.7 | − | 2938.54i | 1.00961 | − | 0.111803i | ||||
\(885\) | −7575.10 | + | 26057.1i | −0.287722 | + | 0.989719i | ||||
\(886\) | 4217.20 | + | 12857.3i | 0.159909 | + | 0.487526i | ||||
\(887\) | 7361.54 | − | 41749.4i | 0.278665 | − | 1.58039i | −0.448407 | − | 0.893830i | \(-0.648008\pi\) |
0.727072 | − | 0.686561i | \(-0.240880\pi\) | |||||||
\(888\) | −8652.79 | + | 4653.00i | −0.326992 | + | 0.175839i | ||||
\(889\) | −14927.7 | + | 12525.8i | −0.563171 | + | 0.472556i | ||||
\(890\) | 429.224 | − | 13357.9i | 0.0161659 | − | 0.503098i | ||||
\(891\) | −16172.0 | − | 34428.0i | −0.608061 | − | 1.29448i | ||||
\(892\) | −2716.05 | + | 42219.4i | −0.101951 | + | 1.58476i | ||||
\(893\) | −2053.59 | − | 2447.37i | −0.0769549 | − | 0.0917113i | ||||
\(894\) | −8328.23 | − | 13354.0i | −0.311563 | − | 0.499579i | ||||
\(895\) | 30494.2 | + | 5376.95i | 1.13889 | + | 0.200817i | ||||
\(896\) | −26404.5 | + | 3296.79i | −0.984499 | + | 0.122922i | ||||
\(897\) | 54613.3 | + | 15876.7i | 2.03287 | + | 0.590979i | ||||
\(898\) | −4973.05 | − | 34684.0i | −0.184803 | − | 1.28889i | ||||
\(899\) | 19499.1 | + | 33773.5i | 0.723396 | + | 1.25296i | ||||
\(900\) | −7039.27 | + | 479.846i | −0.260714 | + | 0.0177721i | ||||
\(901\) | −3129.33 | + | 5420.17i | −0.115708 | + | 0.200413i | ||||
\(902\) | −6321.22 | − | 2533.49i | −0.233341 | − | 0.0935209i | ||||
\(903\) | −30065.2 | + | 13254.2i | −1.10798 | + | 0.488454i | ||||
\(904\) | −8699.92 | − | 8859.69i | −0.320083 | − | 0.325961i | ||||
\(905\) | 4082.20 | − | 4864.97i | 0.149941 | − | 0.178693i | ||||
\(906\) | 31616.5 | + | 24746.2i | 1.15937 | + | 0.907435i | ||||
\(907\) | 15323.6 | − | 42101.2i | 0.560983 | − | 1.54129i | −0.257217 | − | 0.966354i | \(-0.582806\pi\) |
0.818200 | − | 0.574934i | \(-0.194972\pi\) | |||||||
\(908\) | 18425.7 | − | 27648.2i | 0.673435 | − | 1.01050i | ||||
\(909\) | −445.886 | + | 2024.72i | −0.0162696 | + | 0.0738787i | ||||
\(910\) | −26008.3 | + | 13921.9i | −0.947435 | + | 0.507149i | ||||
\(911\) | 699.143 | + | 3965.03i | 0.0254266 | + | 0.144201i | 0.994878 | − | 0.101081i | \(-0.0322303\pi\) |
−0.969452 | + | 0.245283i | \(0.921119\pi\) | |||||||
\(912\) | −2710.01 | − | 3671.95i | −0.0983964 | − | 0.133323i | ||||
\(913\) | 10999.9 | − | 4003.64i | 0.398734 | − | 0.145127i | ||||
\(914\) | −16257.0 | − | 3408.23i | −0.588329 | − | 0.123342i | ||||
\(915\) | 22473.6 | + | 11063.1i | 0.811973 | + | 0.399712i | ||||
\(916\) | −28587.3 | + | 21014.2i | −1.03117 | + | 0.758001i | ||||
\(917\) | 43498.5i | 1.56646i | ||||||||
\(918\) | −7494.64 | − | 21128.6i | −0.269455 | − | 0.759639i | ||||
\(919\) | − | 6078.79i | − | 0.218195i | −0.994031 | − | 0.109097i | \(-0.965204\pi\) | ||
0.994031 | − | 0.109097i | \(-0.0347960\pi\) | |||||||
\(920\) | 33211.3 | − | 22807.3i | 1.19016 | − | 0.817320i | ||||
\(921\) | 1846.35 | + | 27869.7i | 0.0660577 | + | 0.997111i | ||||
\(922\) | −2963.81 | + | 14137.1i | −0.105865 | + | 0.504968i | ||||
\(923\) | −44066.6 | + | 16038.9i | −1.57147 | + | 0.571970i | ||||
\(924\) | 39235.4 | − | 6995.51i | 1.39691 | − | 0.249064i | ||||
\(925\) | −473.964 | − | 2687.98i | −0.0168474 | − | 0.0955464i | ||||
\(926\) | −16879.5 | − | 31533.5i | −0.599021 | − | 1.11907i | ||||
\(927\) | −21420.5 | − | 905.082i | −0.758943 | − | 0.0320677i | ||||
\(928\) | −35449.6 | + | 43462.2i | −1.25398 | + | 1.53741i | ||||
\(929\) | −4884.03 | + | 13418.8i | −0.172487 | + | 0.473903i | −0.995571 | − | 0.0940167i | \(-0.970029\pi\) |
0.823084 | + | 0.567919i | \(0.192252\pi\) | |||||||
\(930\) | −17600.5 | − | 2489.31i | −0.620585 | − | 0.0877719i | ||||
\(931\) | 47.3563 | − | 56.4371i | 0.00166707 | − | 0.00198674i | ||||
\(932\) | 2777.38 | − | 2908.31i | 0.0976140 | − | 0.102216i | ||||
\(933\) | 1089.06 | − | 10009.1i | 0.0382144 | − | 0.351214i | ||||
\(934\) | 19233.8 | − | 47989.6i | 0.673821 | − | 1.68123i | ||||
\(935\) | −14162.8 | + | 24530.7i | −0.495372 | + | 0.858010i | ||||
\(936\) | 22189.0 | − | 28461.2i | 0.774860 | − | 0.993892i | ||||
\(937\) | −2706.09 | − | 4687.08i | −0.0943479 | − | 0.163415i | 0.814988 | − | 0.579477i | \(-0.196743\pi\) |
−0.909336 | + | 0.416062i | \(0.863410\pi\) | |||||||
\(938\) | 11910.1 | − | 1707.69i | 0.414582 | − | 0.0594436i | ||||
\(939\) | 2990.56 | + | 12184.3i | 0.103933 | + | 0.423451i | ||||
\(940\) | −5028.64 | − | 17175.3i | −0.174485 | − | 0.595955i | ||||
\(941\) | −13288.4 | − | 2343.10i | −0.460350 | − | 0.0811722i | −0.0613365 | − | 0.998117i | \(-0.519536\pi\) |
−0.399014 | + | 0.916945i | \(0.630647\pi\) | |||||||
\(942\) | −1695.65 | − | 49807.5i | −0.0586488 | − | 1.72274i | ||||
\(943\) | −5496.09 | − | 6549.99i | −0.189796 | − | 0.226190i | ||||
\(944\) | 34495.6 | + | 4456.77i | 1.18934 | + | 0.153661i | ||||
\(945\) | 16372.1 | + | 18589.7i | 0.563583 | + | 0.639917i | ||||
\(946\) | −50760.7 | − | 1631.08i | −1.74458 | − | 0.0560580i | ||||
\(947\) | 22200.6 | − | 18628.5i | 0.761798 | − | 0.639225i | −0.176796 | − | 0.984248i | \(-0.556573\pi\) |
0.938594 | + | 0.345023i | \(0.112129\pi\) | |||||||
\(948\) | −18560.5 | − | 10668.7i | −0.635883 | − | 0.365510i | ||||
\(949\) | 4688.66 | − | 26590.7i | 0.160380 | − | 0.909559i | ||||
\(950\) | 1204.74 | − | 395.156i | 0.0411440 | − | 0.0134953i | ||||
\(951\) | −1993.73 | − | 2079.75i | −0.0679822 | − | 0.0709154i | ||||
\(952\) | 23417.7 | − | 1834.25i | 0.797239 | − | 0.0624459i | ||||
\(953\) | 12811.8 | − | 7396.90i | 0.435483 | − | 0.251426i | −0.266197 | − | 0.963919i | \(-0.585767\pi\) |
0.701680 | + | 0.712493i | \(0.252434\pi\) | |||||||
\(954\) | 2295.00 | + | 8142.85i | 0.0778862 | + | 0.276347i | ||||
\(955\) | −14541.7 | − | 8395.65i | −0.492731 | − | 0.284479i | ||||
\(956\) | −11523.3 | − | 5053.78i | −0.389843 | − | 0.170974i | ||||
\(957\) | 49623.7 | − | 67778.0i | 1.67618 | − | 2.28940i | ||||
\(958\) | −13001.0 | + | 14520.2i | −0.438460 | + | 0.489695i | ||||
\(959\) | 2702.24 | + | 2267.45i | 0.0909906 | + | 0.0763501i | ||||
\(960\) | −5640.97 | − | 24934.3i | −0.189648 | − | 0.838281i | ||||
\(961\) | −13107.0 | − | 4770.55i | −0.439965 | − | 0.160134i | ||||
\(962\) | 11860.0 | + | 7365.11i | 0.397487 | + | 0.246841i | ||||
\(963\) | 14262.4 | − | 34569.7i | 0.477256 | − | 1.15679i | ||||
\(964\) | 9114.14 | + | 18425.6i | 0.304509 | + | 0.615610i | ||||
\(965\) | 41074.9 | − | 7242.61i | 1.37020 | − | 0.241604i | ||||
\(966\) | 47576.6 | + | 15504.7i | 1.58463 | + | 0.516412i | ||||
\(967\) | −12658.0 | − | 34777.7i | −0.420946 | − | 1.15654i | −0.951166 | − | 0.308680i | \(-0.900113\pi\) |
0.530220 | − | 0.847860i | \(-0.322109\pi\) | |||||||
\(968\) | 30336.7 | + | 8425.25i | 1.00729 | + | 0.279750i | ||||
\(969\) | 2240.52 | + | 3348.08i | 0.0742784 | + | 0.110997i | ||||
\(970\) | −18171.5 | + | 14278.8i | −0.601496 | + | 0.472643i | ||||
\(971\) | −43743.8 | −1.44573 | −0.722865 | − | 0.690989i | \(-0.757175\pi\) | ||||
−0.722865 | + | 0.690989i | \(0.757175\pi\) | |||||||
\(972\) | −27524.9 | − | 12677.2i | −0.908292 | − | 0.418336i | ||||
\(973\) | −22740.6 | −0.749260 | ||||||||
\(974\) | −10028.3 | + | 7880.07i | −0.329906 | + | 0.259234i | ||||
\(975\) | 5576.08 | + | 8332.52i | 0.183157 | + | 0.273697i | ||||
\(976\) | 9580.99 | − | 30644.7i | 0.314221 | − | 1.00503i | ||||
\(977\) | −9610.75 | − | 26405.3i | −0.314714 | − | 0.864668i | −0.991688 | − | 0.128662i | \(-0.958932\pi\) |
0.676975 | − | 0.736006i | \(-0.263291\pi\) | |||||||
\(978\) | −48161.9 | − | 15695.4i | −1.57469 | − | 0.513174i | ||||
\(979\) | 25267.6 | − | 4455.36i | 0.824879 | − | 0.145448i | ||||
\(980\) | 369.914 | − | 182.977i | 0.0120576 | − | 0.00596426i | ||||
\(981\) | 5003.85 | − | 12128.5i | 0.162855 | − | 0.394734i | ||||
\(982\) | −14204.1 | − | 8820.82i | −0.461581 | − | 0.286643i | ||||
\(983\) | −10697.2 | − | 3893.46i | −0.347088 | − | 0.126330i | 0.162593 | − | 0.986693i | \(-0.448014\pi\) |
−0.509681 | + | 0.860364i | \(0.670237\pi\) | |||||||
\(984\) | −5152.04 | + | 1700.78i | −0.166912 | + | 0.0551004i | ||||
\(985\) | −30500.8 | − | 25593.2i | −0.986634 | − | 0.827884i | ||||
\(986\) | 33025.8 | − | 36885.0i | 1.06669 | − | 1.19134i | ||||
\(987\) | 13130.8 | − | 17934.6i | 0.423464 | − | 0.578384i | ||||
\(988\) | −2604.69 | + | 5939.04i | −0.0838727 | + | 0.191241i | ||||
\(989\) | −55223.0 | − | 31883.0i | −1.77552 | − | 1.02510i | ||||
\(990\) | 10386.8 | + | 36853.1i | 0.333447 | + | 1.18310i | ||||
\(991\) | −10238.4 | + | 5911.17i | −0.328189 | + | 0.189480i | −0.655037 | − | 0.755597i | \(-0.727347\pi\) |
0.326848 | + | 0.945077i | \(0.394013\pi\) | |||||||
\(992\) | 317.260 | + | 22782.4i | 0.0101543 | + | 0.729175i | ||||
\(993\) | 20412.6 | + | 21293.3i | 0.652340 | + | 0.680485i | ||||
\(994\) | −39204.0 | + | 12859.0i | −1.25098 | + | 0.410324i | ||||
\(995\) | 2090.50 | − | 11855.8i | 0.0666063 | − | 0.377743i | ||||
\(996\) | 4647.57 | − | 8085.44i | 0.147855 | − | 0.257226i | ||||
\(997\) | 33548.9 | − | 28150.9i | 1.06570 | − | 0.894230i | 0.0710461 | − | 0.997473i | \(-0.477366\pi\) |
0.994656 | + | 0.103243i | \(0.0329218\pi\) | |||||||
\(998\) | 20190.4 | + | 648.771i | 0.640396 | + | 0.0205776i | ||||
\(999\) | 3744.84 | − | 11108.8i | 0.118600 | − | 0.351819i |
(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 | 108.4.l.a.59.17 | yes | 312 | |
4.3 | odd | 2 | inner | 108.4.l.a.59.14 | yes | 312 | |
27.11 | odd | 18 | inner | 108.4.l.a.11.14 | ✓ | 312 | |
108.11 | even | 18 | inner | 108.4.l.a.11.17 | yes | 312 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.4.l.a.11.14 | ✓ | 312 | 27.11 | odd | 18 | inner | |
108.4.l.a.11.17 | yes | 312 | 108.11 | even | 18 | inner | |
108.4.l.a.59.14 | yes | 312 | 4.3 | odd | 2 | inner | |
108.4.l.a.59.17 | yes | 312 | 1.1 | even | 1 | trivial |