Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,3,Mod(11,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.t (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.86104277578\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Character | \(\chi\) | \(=\) | 105.11 |
Dual form | 105.3.t.b.86.4 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.46897 | + | 1.42546i | −1.23449 | + | 0.712732i | −0.967962 | − | 0.251096i | \(-0.919209\pi\) |
−0.266525 | + | 0.963828i | \(0.585876\pi\) | |||||||
\(3\) | −2.92531 | − | 0.665249i | −0.975104 | − | 0.221750i | ||||
\(4\) | 2.06389 | − | 3.57476i | 0.515973 | − | 0.893691i | ||||
\(5\) | −1.93649 | + | 1.11803i | −0.387298 | + | 0.223607i | ||||
\(6\) | 8.17081 | − | 2.52744i | 1.36180 | − | 0.421240i | ||||
\(7\) | −5.93505 | − | 3.71149i | −0.847865 | − | 0.530212i | ||||
\(8\) | 0.364297i | 0.0455371i | ||||||||
\(9\) | 8.11489 | + | 3.89212i | 0.901654 | + | 0.432458i | ||||
\(10\) | 3.18743 | − | 5.52080i | 0.318743 | − | 0.552080i | ||||
\(11\) | 8.97923 | + | 5.18416i | 0.816294 | + | 0.471287i | 0.849137 | − | 0.528173i | \(-0.177123\pi\) |
−0.0328429 | + | 0.999461i | \(0.510456\pi\) | |||||||
\(12\) | −8.41563 | + | 9.08430i | −0.701303 | + | 0.757025i | ||||
\(13\) | 11.1104 | 0.854643 | 0.427321 | − | 0.904100i | \(-0.359457\pi\) | ||||
0.427321 | + | 0.904100i | \(0.359457\pi\) | |||||||
\(14\) | 19.9441 | + | 0.703368i | 1.42458 | + | 0.0502405i | ||||
\(15\) | 6.40861 | − | 1.98235i | 0.427241 | − | 0.132157i | ||||
\(16\) | 7.73627 | + | 13.3996i | 0.483517 | + | 0.837476i | ||||
\(17\) | 11.2821 | + | 6.51372i | 0.663653 | + | 0.383160i | 0.793667 | − | 0.608352i | \(-0.208169\pi\) |
−0.130015 | + | 0.991512i | \(0.541502\pi\) | |||||||
\(18\) | −25.5835 | + | 1.95793i | −1.42131 | + | 0.108774i | ||||
\(19\) | −8.07471 | − | 13.9858i | −0.424985 | − | 0.736096i | 0.571434 | − | 0.820648i | \(-0.306387\pi\) |
−0.996419 | + | 0.0845524i | \(0.973054\pi\) | |||||||
\(20\) | 9.23000i | 0.461500i | ||||||||
\(21\) | 14.8928 | + | 14.8055i | 0.709182 | + | 0.705026i | ||||
\(22\) | −29.5593 | −1.34361 | ||||||||
\(23\) | 19.0766 | − | 11.0139i | 0.829419 | − | 0.478865i | −0.0242347 | − | 0.999706i | \(-0.507715\pi\) |
0.853654 | + | 0.520841i | \(0.174382\pi\) | |||||||
\(24\) | 0.242348 | − | 1.06568i | 0.0100978 | − | 0.0444034i | ||||
\(25\) | 2.50000 | − | 4.33013i | 0.100000 | − | 0.173205i | ||||
\(26\) | −27.4312 | + | 15.8374i | −1.05505 | + | 0.609131i | ||||
\(27\) | −21.1493 | − | 16.7841i | −0.783309 | − | 0.621633i | ||||
\(28\) | −25.5170 | + | 13.5563i | −0.911321 | + | 0.484154i | ||||
\(29\) | − | 20.2647i | − | 0.698782i | −0.936977 | − | 0.349391i | \(-0.886389\pi\) | ||
0.936977 | − | 0.349391i | \(-0.113611\pi\) | |||||||
\(30\) | −12.9969 | + | 14.0296i | −0.433231 | + | 0.467654i | ||||
\(31\) | 19.5875 | − | 33.9265i | 0.631853 | − | 1.09440i | −0.355319 | − | 0.934745i | \(-0.615628\pi\) |
0.987173 | − | 0.159657i | \(-0.0510389\pi\) | |||||||
\(32\) | −39.4633 | − | 22.7841i | −1.23323 | − | 0.712004i | ||||
\(33\) | −22.8183 | − | 21.1387i | −0.691463 | − | 0.640567i | ||||
\(34\) | −37.1403 | −1.09236 | ||||||||
\(35\) | 15.6428 | + | 0.551673i | 0.446936 | + | 0.0157621i | ||||
\(36\) | 30.6617 | − | 20.9759i | 0.851713 | − | 0.582664i | ||||
\(37\) | 16.1127 | + | 27.9081i | 0.435480 | + | 0.754273i | 0.997335 | − | 0.0729628i | \(-0.0232454\pi\) |
−0.561855 | + | 0.827236i | \(0.689912\pi\) | |||||||
\(38\) | 39.8725 | + | 23.0204i | 1.04928 | + | 0.605800i | ||||
\(39\) | −32.5012 | − | 7.39115i | −0.833365 | − | 0.189517i | ||||
\(40\) | −0.407296 | − | 0.705457i | −0.0101824 | − | 0.0176364i | ||||
\(41\) | − | 49.3431i | − | 1.20349i | −0.798688 | − | 0.601745i | \(-0.794472\pi\) | ||
0.798688 | − | 0.601745i | \(-0.205528\pi\) | |||||||
\(42\) | −57.8747 | − | 15.3253i | −1.37797 | − | 0.364889i | ||||
\(43\) | 35.3127 | 0.821226 | 0.410613 | − | 0.911810i | \(-0.365315\pi\) | ||||
0.410613 | + | 0.911810i | \(0.365315\pi\) | |||||||
\(44\) | 37.0643 | − | 21.3991i | 0.842371 | − | 0.486343i | ||||
\(45\) | −20.0659 | + | 1.53566i | −0.445910 | + | 0.0341259i | ||||
\(46\) | −31.3998 | + | 54.3861i | −0.682605 | + | 1.18231i | ||||
\(47\) | −72.6572 | + | 41.9486i | −1.54590 | + | 0.892524i | −0.547449 | + | 0.836839i | \(0.684401\pi\) |
−0.998448 | + | 0.0556851i | \(0.982266\pi\) | |||||||
\(48\) | −13.7169 | − | 44.3446i | −0.285769 | − | 0.923846i | ||||
\(49\) | 21.4497 | + | 44.0558i | 0.437749 | + | 0.899097i | ||||
\(50\) | 14.2546i | 0.285093i | ||||||||
\(51\) | −28.6704 | − | 26.5601i | −0.562164 | − | 0.520785i | ||||
\(52\) | 22.9306 | − | 39.7169i | 0.440972 | − | 0.763787i | ||||
\(53\) | 78.3583 | + | 45.2402i | 1.47846 | + | 0.853589i | 0.999703 | − | 0.0243596i | \(-0.00775467\pi\) |
0.478756 | + | 0.877948i | \(0.341088\pi\) | |||||||
\(54\) | 76.1423 | + | 11.2919i | 1.41004 | + | 0.209108i | ||||
\(55\) | −23.1843 | −0.421532 | ||||||||
\(56\) | 1.35208 | − | 2.16212i | 0.0241443 | − | 0.0386093i | ||||
\(57\) | 14.3170 | + | 46.2846i | 0.251176 | + | 0.812010i | ||||
\(58\) | 28.8865 | + | 50.0330i | 0.498044 | + | 0.862637i | ||||
\(59\) | 30.9922 | + | 17.8933i | 0.525291 | + | 0.303277i | 0.739097 | − | 0.673599i | \(-0.235253\pi\) |
−0.213806 | + | 0.976876i | \(0.568586\pi\) | |||||||
\(60\) | 6.14025 | − | 27.0006i | 0.102337 | − | 0.450010i | ||||
\(61\) | −3.02027 | − | 5.23126i | −0.0495126 | − | 0.0857583i | 0.840207 | − | 0.542266i | \(-0.182433\pi\) |
−0.889720 | + | 0.456508i | \(0.849100\pi\) | |||||||
\(62\) | 111.685i | 1.80137i | ||||||||
\(63\) | −33.7167 | − | 53.2182i | −0.535186 | − | 0.844734i | ||||
\(64\) | 68.0216 | 1.06284 | ||||||||
\(65\) | −21.5151 | + | 12.4218i | −0.331002 | + | 0.191104i | ||||
\(66\) | 86.4702 | + | 19.6643i | 1.31015 | + | 0.297944i | ||||
\(67\) | 57.4710 | − | 99.5427i | 0.857776 | − | 1.48571i | −0.0162686 | − | 0.999868i | \(-0.505179\pi\) |
0.874045 | − | 0.485845i | \(-0.161488\pi\) | |||||||
\(68\) | 46.5700 | − | 26.8872i | 0.684853 | − | 0.395400i | ||||
\(69\) | −63.1321 | + | 19.5284i | −0.914958 | + | 0.283020i | ||||
\(70\) | −39.4079 | + | 20.9361i | −0.562971 | + | 0.299087i | ||||
\(71\) | − | 45.9746i | − | 0.647530i | −0.946138 | − | 0.323765i | \(-0.895051\pi\) | ||
0.946138 | − | 0.323765i | \(-0.104949\pi\) | |||||||
\(72\) | −1.41789 | + | 2.95623i | −0.0196929 | + | 0.0410587i | ||||
\(73\) | 16.2758 | − | 28.1905i | 0.222956 | − | 0.386171i | −0.732748 | − | 0.680500i | \(-0.761763\pi\) |
0.955704 | + | 0.294329i | \(0.0950960\pi\) | |||||||
\(74\) | −79.5639 | − | 45.9363i | −1.07519 | − | 0.620760i | ||||
\(75\) | −10.1939 | + | 11.0038i | −0.135919 | + | 0.146718i | ||||
\(76\) | −66.6613 | −0.877123 | ||||||||
\(77\) | −34.0513 | − | 64.0946i | −0.442224 | − | 0.832397i | ||||
\(78\) | 90.7806 | − | 28.0808i | 1.16385 | − | 0.360010i | ||||
\(79\) | 41.0891 | + | 71.1683i | 0.520115 | + | 0.900865i | 0.999727 | + | 0.0233842i | \(0.00744411\pi\) |
−0.479612 | + | 0.877481i | \(0.659223\pi\) | |||||||
\(80\) | −29.9625 | − | 17.2988i | −0.374531 | − | 0.216235i | ||||
\(81\) | 50.7028 | + | 63.1682i | 0.625961 | + | 0.779855i | ||||
\(82\) | 70.3368 | + | 121.827i | 0.857766 | + | 1.48569i | ||||
\(83\) | 0.951632i | 0.0114654i | 0.999984 | + | 0.00573272i | \(0.00182479\pi\) | ||||
−0.999984 | + | 0.00573272i | \(0.998175\pi\) | |||||||
\(84\) | 83.6635 | − | 22.6813i | 0.995994 | − | 0.270015i | ||||
\(85\) | −29.1302 | −0.342709 | ||||||||
\(86\) | −87.1862 | + | 50.3370i | −1.01379 | + | 0.585314i | ||||
\(87\) | −13.4811 | + | 59.2805i | −0.154955 | + | 0.681385i | ||||
\(88\) | −1.88857 | + | 3.27110i | −0.0214611 | + | 0.0371716i | ||||
\(89\) | −14.2959 | + | 8.25374i | −0.160628 | + | 0.0927386i | −0.578159 | − | 0.815924i | \(-0.696229\pi\) |
0.417531 | + | 0.908663i | \(0.362895\pi\) | |||||||
\(90\) | 47.3533 | − | 32.3948i | 0.526147 | − | 0.359942i | ||||
\(91\) | −65.9406 | − | 41.2359i | −0.724622 | − | 0.453142i | ||||
\(92\) | − | 90.9260i | − | 0.988326i | ||||||
\(93\) | −79.8689 | + | 86.2149i | −0.858806 | + | 0.927042i | ||||
\(94\) | 119.592 | − | 207.140i | 1.27226 | − | 2.20362i | ||||
\(95\) | 31.2732 | + | 18.0556i | 0.329192 | + | 0.190059i | ||||
\(96\) | 100.285 | + | 92.9036i | 1.04464 | + | 0.967746i | ||||
\(97\) | 143.204 | 1.47633 | 0.738164 | − | 0.674622i | \(-0.235693\pi\) | ||||
0.738164 | + | 0.674622i | \(0.235693\pi\) | |||||||
\(98\) | −115.759 | − | 78.1967i | −1.18121 | − | 0.797926i | ||||
\(99\) | 52.6881 | + | 77.0171i | 0.532203 | + | 0.777951i | ||||
\(100\) | −10.3195 | − | 17.8738i | −0.103195 | − | 0.178738i | ||||
\(101\) | −83.0925 | − | 47.9735i | −0.822698 | − | 0.474985i | 0.0286482 | − | 0.999590i | \(-0.490880\pi\) |
−0.851346 | + | 0.524605i | \(0.824213\pi\) | |||||||
\(102\) | 108.647 | + | 24.7075i | 1.06517 | + | 0.242231i | ||||
\(103\) | −75.5216 | − | 130.807i | −0.733220 | − | 1.26997i | −0.955500 | − | 0.294991i | \(-0.904683\pi\) |
0.222280 | − | 0.974983i | \(-0.428650\pi\) | |||||||
\(104\) | 4.04747i | 0.0389179i | ||||||||
\(105\) | −45.3929 | − | 12.0201i | −0.432313 | − | 0.114477i | ||||
\(106\) | −257.953 | −2.43352 | ||||||||
\(107\) | 41.0753 | − | 23.7148i | 0.383881 | − | 0.221634i | −0.295624 | − | 0.955304i | \(-0.595528\pi\) |
0.679506 | + | 0.733670i | \(0.262194\pi\) | |||||||
\(108\) | −103.649 | + | 40.9634i | −0.959713 | + | 0.379291i | ||||
\(109\) | −97.7409 | + | 169.292i | −0.896706 | + | 1.55314i | −0.0650270 | + | 0.997884i | \(0.520713\pi\) |
−0.831679 | + | 0.555257i | \(0.812620\pi\) | |||||||
\(110\) | 57.2414 | − | 33.0483i | 0.520376 | − | 0.300439i | ||||
\(111\) | −28.5690 | − | 92.3589i | −0.257378 | − | 0.832062i | ||||
\(112\) | 3.81732 | − | 108.241i | 0.0340832 | − | 0.966433i | ||||
\(113\) | 100.129i | 0.886097i | 0.896498 | + | 0.443049i | \(0.146103\pi\) | ||||
−0.896498 | + | 0.443049i | \(0.853897\pi\) | |||||||
\(114\) | −101.325 | − | 93.8670i | −0.888818 | − | 0.823395i | ||||
\(115\) | −24.6278 | + | 42.6567i | −0.214155 | + | 0.370927i | ||||
\(116\) | −72.4414 | − | 41.8241i | −0.624495 | − | 0.360552i | ||||
\(117\) | 90.1593 | + | 43.2428i | 0.770592 | + | 0.369597i | ||||
\(118\) | −102.025 | −0.864620 | ||||||||
\(119\) | −42.7842 | − | 80.5326i | −0.359531 | − | 0.676745i | ||||
\(120\) | 0.722163 | + | 2.33464i | 0.00601802 | + | 0.0194553i | ||||
\(121\) | −6.74893 | − | 11.6895i | −0.0557763 | − | 0.0966073i | ||||
\(122\) | 14.9139 | + | 8.61056i | 0.122245 | + | 0.0705784i | ||||
\(123\) | −32.8254 | + | 144.344i | −0.266874 | + | 1.17353i | ||||
\(124\) | −80.8527 | − | 140.041i | −0.652038 | − | 1.12936i | ||||
\(125\) | 11.1803i | 0.0894427i | ||||||||
\(126\) | 159.106 | + | 83.3325i | 1.26275 | + | 0.661369i | ||||
\(127\) | −153.104 | −1.20554 | −0.602771 | − | 0.797914i | \(-0.705937\pi\) | ||||
−0.602771 | + | 0.797914i | \(0.705937\pi\) | |||||||
\(128\) | −10.0905 | + | 5.82577i | −0.0788323 | + | 0.0455138i | ||||
\(129\) | −103.301 | − | 23.4917i | −0.800780 | − | 0.182107i | ||||
\(130\) | 35.4135 | − | 61.3380i | 0.272412 | − | 0.471831i | ||||
\(131\) | 123.570 | − | 71.3430i | 0.943281 | − | 0.544603i | 0.0522935 | − | 0.998632i | \(-0.483347\pi\) |
0.890987 | + | 0.454028i | \(0.150014\pi\) | |||||||
\(132\) | −122.660 | + | 37.9420i | −0.929245 | + | 0.287439i | ||||
\(133\) | −3.98431 | + | 112.976i | −0.0299572 | + | 0.849442i | ||||
\(134\) | 327.691i | 2.44546i | ||||||||
\(135\) | 59.7207 | + | 8.85654i | 0.442376 | + | 0.0656040i | ||||
\(136\) | −2.37293 | + | 4.11003i | −0.0174480 | + | 0.0302208i | ||||
\(137\) | −1.15617 | − | 0.667514i | −0.00843918 | − | 0.00487236i | 0.495774 | − | 0.868451i | \(-0.334884\pi\) |
−0.504214 | + | 0.863579i | \(0.668218\pi\) | |||||||
\(138\) | 128.035 | − | 138.208i | 0.927787 | − | 1.00150i | ||||
\(139\) | 42.8276 | 0.308113 | 0.154056 | − | 0.988062i | \(-0.450766\pi\) | ||||
0.154056 | + | 0.988062i | \(0.450766\pi\) | |||||||
\(140\) | 34.2570 | − | 54.7805i | 0.244693 | − | 0.391290i | ||||
\(141\) | 240.451 | − | 74.3777i | 1.70533 | − | 0.527502i | ||||
\(142\) | 65.5351 | + | 113.510i | 0.461515 | + | 0.799367i | ||||
\(143\) | 99.7625 | + | 57.5979i | 0.697640 | + | 0.402782i | ||||
\(144\) | 10.6261 | + | 138.847i | 0.0737922 | + | 0.964214i | ||||
\(145\) | 22.6566 | + | 39.2424i | 0.156252 | + | 0.270637i | ||||
\(146\) | 92.8022i | 0.635632i | ||||||||
\(147\) | −33.4391 | − | 143.146i | −0.227477 | − | 0.973784i | ||||
\(148\) | 133.020 | 0.898783 | ||||||||
\(149\) | 164.476 | − | 94.9604i | 1.10387 | − | 0.637318i | 0.166633 | − | 0.986019i | \(-0.446710\pi\) |
0.937234 | + | 0.348701i | \(0.113377\pi\) | |||||||
\(150\) | 9.48288 | − | 41.6992i | 0.0632192 | − | 0.277995i | ||||
\(151\) | −46.5602 | + | 80.6446i | −0.308346 | + | 0.534070i | −0.978001 | − | 0.208602i | \(-0.933109\pi\) |
0.669655 | + | 0.742672i | \(0.266442\pi\) | |||||||
\(152\) | 5.09499 | − | 2.94159i | 0.0335196 | − | 0.0193526i | ||||
\(153\) | 66.2008 | + | 96.7694i | 0.432685 | + | 0.632479i | ||||
\(154\) | 175.436 | + | 109.709i | 1.13920 | + | 0.712397i | ||||
\(155\) | 87.5978i | 0.565147i | ||||||||
\(156\) | −93.5007 | + | 100.930i | −0.599363 | + | 0.646986i | ||||
\(157\) | −33.4000 | + | 57.8506i | −0.212739 | + | 0.368475i | −0.952571 | − | 0.304317i | \(-0.901572\pi\) |
0.739832 | + | 0.672792i | \(0.234905\pi\) | |||||||
\(158\) | −202.896 | − | 117.142i | −1.28415 | − | 0.741404i | ||||
\(159\) | −199.126 | − | 184.469i | −1.25237 | − | 1.16019i | ||||
\(160\) | 101.894 | 0.636836 | ||||||||
\(161\) | −154.099 | − | 5.43460i | −0.957136 | − | 0.0337553i | ||||
\(162\) | −215.228 | − | 83.6857i | −1.32857 | − | 0.516579i | ||||
\(163\) | −29.0660 | − | 50.3438i | −0.178319 | − | 0.308857i | 0.762986 | − | 0.646415i | \(-0.223733\pi\) |
−0.941305 | + | 0.337558i | \(0.890399\pi\) | |||||||
\(164\) | −176.390 | − | 101.839i | −1.07555 | − | 0.620968i | ||||
\(165\) | 67.8212 | + | 15.4233i | 0.411038 | + | 0.0934746i | ||||
\(166\) | −1.35652 | − | 2.34956i | −0.00817179 | − | 0.0141539i | ||||
\(167\) | − | 102.831i | − | 0.615755i | −0.951426 | − | 0.307877i | \(-0.900381\pi\) | ||
0.951426 | − | 0.307877i | \(-0.0996187\pi\) | |||||||
\(168\) | −5.39361 | + | 5.42540i | −0.0321048 | + | 0.0322941i | ||||
\(169\) | −45.5600 | −0.269586 | ||||||||
\(170\) | 71.9218 | − | 41.5241i | 0.423070 | − | 0.244259i | ||||
\(171\) | −11.0909 | − | 144.921i | −0.0648593 | − | 0.847492i | ||||
\(172\) | 72.8816 | − | 126.235i | 0.423730 | − | 0.733922i | ||||
\(173\) | 95.7931 | − | 55.3062i | 0.553718 | − | 0.319689i | −0.196903 | − | 0.980423i | \(-0.563088\pi\) |
0.750620 | + | 0.660734i | \(0.229755\pi\) | |||||||
\(174\) | −51.2178 | − | 165.579i | −0.294355 | − | 0.951602i | ||||
\(175\) | −30.9088 | + | 16.4208i | −0.176622 | + | 0.0938332i | ||||
\(176\) | 160.424i | 0.911502i | ||||||||
\(177\) | −78.7582 | − | 72.9610i | −0.444961 | − | 0.412209i | ||||
\(178\) | 23.5308 | − | 40.7565i | 0.132196 | − | 0.228969i | ||||
\(179\) | −61.4074 | − | 35.4536i | −0.343058 | − | 0.198065i | 0.318566 | − | 0.947901i | \(-0.396799\pi\) |
−0.661623 | + | 0.749836i | \(0.730132\pi\) | |||||||
\(180\) | −35.9243 | + | 74.9004i | −0.199579 | + | 0.416113i | ||||
\(181\) | 199.219 | 1.10066 | 0.550329 | − | 0.834948i | \(-0.314502\pi\) | ||||
0.550329 | + | 0.834948i | \(0.314502\pi\) | |||||||
\(182\) | 221.586 | + | 7.81467i | 1.21751 | + | 0.0429377i | ||||
\(183\) | 5.35513 | + | 17.3123i | 0.0292630 | + | 0.0946026i | ||||
\(184\) | 4.01233 | + | 6.94955i | 0.0218061 | + | 0.0377693i | ||||
\(185\) | −62.4044 | − | 36.0292i | −0.337321 | − | 0.194752i | ||||
\(186\) | 74.2982 | − | 326.713i | 0.399453 | − | 1.75652i | ||||
\(187\) | 67.5364 | + | 116.976i | 0.361157 | + | 0.625542i | ||||
\(188\) | 346.310i | 1.84207i | ||||||||
\(189\) | 63.2286 | + | 178.110i | 0.334543 | + | 0.942381i | ||||
\(190\) | −102.950 | −0.541844 | ||||||||
\(191\) | 170.185 | − | 98.2561i | 0.891018 | − | 0.514430i | 0.0167430 | − | 0.999860i | \(-0.494670\pi\) |
0.874275 | + | 0.485430i | \(0.161337\pi\) | |||||||
\(192\) | −198.984 | − | 45.2513i | −1.03638 | − | 0.235684i | ||||
\(193\) | 121.341 | − | 210.169i | 0.628711 | − | 1.08896i | −0.359100 | − | 0.933299i | \(-0.616916\pi\) |
0.987811 | − | 0.155660i | \(-0.0497505\pi\) | |||||||
\(194\) | −353.566 | + | 204.132i | −1.82251 | + | 1.05223i | ||||
\(195\) | 71.2020 | − | 22.0246i | 0.365138 | − | 0.112947i | ||||
\(196\) | 201.759 | + | 14.2486i | 1.02938 | + | 0.0726968i | ||||
\(197\) | − | 133.478i | − | 0.677553i | −0.940867 | − | 0.338777i | \(-0.889987\pi\) | ||
0.940867 | − | 0.338777i | \(-0.110013\pi\) | |||||||
\(198\) | −239.871 | − | 115.048i | −1.21147 | − | 0.581053i | ||||
\(199\) | −47.2126 | + | 81.7747i | −0.237249 | + | 0.410928i | −0.959924 | − | 0.280260i | \(-0.909579\pi\) |
0.722675 | + | 0.691188i | \(0.242913\pi\) | |||||||
\(200\) | 1.57745 | + | 0.910741i | 0.00788725 | + | 0.00455371i | ||||
\(201\) | −234.341 | + | 252.961i | −1.16588 | + | 1.25851i | ||||
\(202\) | 273.538 | 1.35415 | ||||||||
\(203\) | −75.2121 | + | 120.272i | −0.370503 | + | 0.592473i | ||||
\(204\) | −154.118 | + | 47.6728i | −0.755483 | + | 0.233690i | ||||
\(205\) | 55.1673 | + | 95.5525i | 0.269109 | + | 0.466110i | ||||
\(206\) | 372.922 | + | 215.307i | 1.81030 | + | 1.04518i | ||||
\(207\) | 197.672 | − | 15.1280i | 0.954938 | − | 0.0730823i | ||||
\(208\) | 85.9527 | + | 148.875i | 0.413234 | + | 0.715743i | ||||
\(209\) | − | 167.443i | − | 0.801160i | ||||||
\(210\) | 129.208 | − | 35.0285i | 0.615277 | − | 0.166802i | ||||
\(211\) | 78.2298 | 0.370758 | 0.185379 | − | 0.982667i | \(-0.440649\pi\) | ||||
0.185379 | + | 0.982667i | \(0.440649\pi\) | |||||||
\(212\) | 323.446 | − | 186.742i | 1.52569 | − | 0.880857i | ||||
\(213\) | −30.5846 | + | 134.490i | −0.143589 | + | 0.631409i | ||||
\(214\) | −67.6092 | + | 117.103i | −0.315931 | + | 0.547209i | ||||
\(215\) | −68.3828 | + | 39.4808i | −0.318059 | + | 0.183632i | ||||
\(216\) | 6.11438 | − | 7.70463i | 0.0283073 | − | 0.0356696i | ||||
\(217\) | −242.170 | + | 128.657i | −1.11599 | + | 0.592889i | ||||
\(218\) | − | 557.305i | − | 2.55644i | ||||||
\(219\) | −66.3655 | + | 71.6386i | −0.303039 | + | 0.327117i | ||||
\(220\) | −47.8498 | + | 82.8783i | −0.217499 | + | 0.376720i | ||||
\(221\) | 125.348 | + | 72.3697i | 0.567186 | + | 0.327465i | ||||
\(222\) | 202.190 | + | 187.308i | 0.910767 | + | 0.843728i | ||||
\(223\) | −302.053 | −1.35450 | −0.677249 | − | 0.735754i | \(-0.736828\pi\) | ||||
−0.677249 | + | 0.735754i | \(0.736828\pi\) | |||||||
\(224\) | 149.654 | + | 281.693i | 0.668097 | + | 1.25756i | ||||
\(225\) | 37.1406 | − | 25.4082i | 0.165069 | − | 0.112925i | ||||
\(226\) | −142.730 | − | 247.216i | −0.631550 | − | 1.09388i | ||||
\(227\) | 278.504 | + | 160.795i | 1.22689 | + | 0.708346i | 0.966378 | − | 0.257124i | \(-0.0827748\pi\) |
0.260514 | + | 0.965470i | \(0.416108\pi\) | |||||||
\(228\) | 195.005 | + | 44.3464i | 0.855286 | + | 0.194502i | ||||
\(229\) | −103.283 | − | 178.891i | −0.451016 | − | 0.781183i | 0.547433 | − | 0.836849i | \(-0.315605\pi\) |
−0.998449 | + | 0.0556665i | \(0.982272\pi\) | |||||||
\(230\) | − | 140.424i | − | 0.610540i | ||||||
\(231\) | 56.9717 | + | 210.149i | 0.246631 | + | 0.909737i | ||||
\(232\) | 7.38235 | 0.0318205 | ||||||||
\(233\) | −198.117 | + | 114.383i | −0.850289 | + | 0.490914i | −0.860748 | − | 0.509031i | \(-0.830004\pi\) |
0.0104596 | + | 0.999945i | \(0.496671\pi\) | |||||||
\(234\) | −284.242 | + | 21.7533i | −1.21471 | + | 0.0929629i | ||||
\(235\) | 93.8000 | − | 162.466i | 0.399149 | − | 0.691346i | ||||
\(236\) | 127.929 | − | 73.8598i | 0.542071 | − | 0.312965i | ||||
\(237\) | −72.8536 | − | 235.524i | −0.307399 | − | 0.993772i | ||||
\(238\) | 220.430 | + | 137.846i | 0.926174 | + | 0.579183i | ||||
\(239\) | 164.805i | 0.689562i | 0.938683 | + | 0.344781i | \(0.112047\pi\) | ||||
−0.938683 | + | 0.344781i | \(0.887953\pi\) | |||||||
\(240\) | 76.1415 | + | 70.5369i | 0.317256 | + | 0.293904i | ||||
\(241\) | −118.758 | + | 205.695i | −0.492772 | + | 0.853507i | −0.999965 | − | 0.00832573i | \(-0.997350\pi\) |
0.507193 | + | 0.861833i | \(0.330683\pi\) | |||||||
\(242\) | 33.3259 | + | 19.2407i | 0.137710 | + | 0.0795070i | ||||
\(243\) | −106.299 | − | 218.517i | −0.437444 | − | 0.899246i | ||||
\(244\) | −24.9340 | −0.102189 | ||||||||
\(245\) | −90.7930 | − | 61.3321i | −0.370584 | − | 0.250335i | ||||
\(246\) | −124.712 | − | 403.173i | −0.506958 | − | 1.63891i | ||||
\(247\) | −89.7130 | − | 155.387i | −0.363210 | − | 0.629099i | ||||
\(248\) | 12.3593 | + | 7.13564i | 0.0498359 | + | 0.0287728i | ||||
\(249\) | 0.633072 | − | 2.78382i | 0.00254246 | − | 0.0111800i | ||||
\(250\) | −15.9372 | − | 27.6040i | −0.0637487 | − | 0.110416i | ||||
\(251\) | 468.137i | 1.86509i | 0.361056 | + | 0.932544i | \(0.382416\pi\) | ||||
−0.361056 | + | 0.932544i | \(0.617584\pi\) | |||||||
\(252\) | −259.830 | + | 10.6928i | −1.03107 | + | 0.0424316i | ||||
\(253\) | 228.391 | 0.902733 | ||||||||
\(254\) | 378.010 | − | 218.244i | 1.48823 | − | 0.859228i | ||||
\(255\) | 85.2150 | + | 19.3789i | 0.334176 | + | 0.0759955i | ||||
\(256\) | −119.434 | + | 206.866i | −0.466541 | + | 0.808072i | ||||
\(257\) | −225.231 | + | 130.037i | −0.876384 | + | 0.505981i | −0.869465 | − | 0.493995i | \(-0.835536\pi\) |
−0.00691968 | + | 0.999976i | \(0.502203\pi\) | |||||||
\(258\) | 288.533 | − | 89.2508i | 1.11835 | − | 0.345933i | ||||
\(259\) | 7.95053 | − | 225.438i | 0.0306970 | − | 0.870418i | ||||
\(260\) | 102.549i | 0.394418i | ||||||||
\(261\) | 78.8725 | − | 164.446i | 0.302194 | − | 0.630060i | ||||
\(262\) | −203.394 | + | 352.288i | −0.776312 | + | 1.34461i | ||||
\(263\) | −192.735 | − | 111.276i | −0.732834 | − | 0.423102i | 0.0866239 | − | 0.996241i | \(-0.472392\pi\) |
−0.819458 | + | 0.573139i | \(0.805725\pi\) | |||||||
\(264\) | 7.70076 | − | 8.31262i | 0.0291695 | − | 0.0314872i | ||||
\(265\) | −202.320 | −0.763473 | ||||||||
\(266\) | −151.206 | − | 284.614i | −0.568442 | − | 1.06998i | ||||
\(267\) | 47.3107 | − | 14.6344i | 0.177194 | − | 0.0548106i | ||||
\(268\) | −237.228 | − | 410.891i | −0.885179 | − | 1.53317i | ||||
\(269\) | 71.2791 | + | 41.1530i | 0.264978 | + | 0.152985i | 0.626603 | − | 0.779338i | \(-0.284445\pi\) |
−0.361625 | + | 0.932324i | \(0.617778\pi\) | |||||||
\(270\) | −160.074 | + | 63.2631i | −0.592865 | + | 0.234308i | ||||
\(271\) | −158.301 | − | 274.186i | −0.584138 | − | 1.01176i | −0.994982 | − | 0.100051i | \(-0.968099\pi\) |
0.410844 | − | 0.911706i | \(-0.365234\pi\) | |||||||
\(272\) | 201.568i | 0.741057i | ||||||||
\(273\) | 165.464 | + | 164.495i | 0.606097 | + | 0.602545i | ||||
\(274\) | 3.80606 | 0.0138907 | ||||||||
\(275\) | 44.8962 | − | 25.9208i | 0.163259 | − | 0.0942575i | ||||
\(276\) | −60.4884 | + | 265.987i | −0.219161 | + | 0.963720i | ||||
\(277\) | 240.836 | − | 417.139i | 0.869442 | − | 1.50592i | 0.00687507 | − | 0.999976i | \(-0.497812\pi\) |
0.862567 | − | 0.505942i | \(-0.168855\pi\) | |||||||
\(278\) | −105.740 | + | 61.0492i | −0.380361 | + | 0.219602i | ||||
\(279\) | 290.996 | − | 199.073i | 1.04300 | − | 0.713523i | ||||
\(280\) | −0.200972 | + | 5.69860i | −0.000717759 | + | 0.0203521i | ||||
\(281\) | − | 219.532i | − | 0.781254i | −0.920549 | − | 0.390627i | \(-0.872258\pi\) | ||
0.920549 | − | 0.390627i | \(-0.127742\pi\) | |||||||
\(282\) | −487.645 | + | 526.391i | −1.72924 | + | 1.86663i | ||||
\(283\) | −188.686 | + | 326.814i | −0.666735 | + | 1.15482i | 0.312076 | + | 0.950057i | \(0.398976\pi\) |
−0.978812 | + | 0.204762i | \(0.934358\pi\) | |||||||
\(284\) | −164.348 | − | 94.8866i | −0.578692 | − | 0.334108i | ||||
\(285\) | −79.4725 | − | 73.6228i | −0.278851 | − | 0.258325i | ||||
\(286\) | −328.415 | −1.14830 | ||||||||
\(287\) | −183.136 | + | 292.854i | −0.638106 | + | 1.02040i | ||||
\(288\) | −231.562 | − | 338.487i | −0.804033 | − | 1.17530i | ||||
\(289\) | −59.6429 | − | 103.305i | −0.206377 | − | 0.357455i | ||||
\(290\) | −111.877 | − | 64.5923i | −0.385783 | − | 0.222732i | ||||
\(291\) | −418.916 | − | 95.2661i | −1.43957 | − | 0.327375i | ||||
\(292\) | −67.1830 | − | 116.364i | −0.230079 | − | 0.398508i | ||||
\(293\) | − | 101.422i | − | 0.346149i | −0.984909 | − | 0.173074i | \(-0.944630\pi\) | ||
0.984909 | − | 0.173074i | \(-0.0553701\pi\) | |||||||
\(294\) | 286.610 | + | 305.758i | 0.974863 | + | 1.03999i | ||||
\(295\) | −80.0214 | −0.271259 | ||||||||
\(296\) | −10.1668 | + | 5.86982i | −0.0343474 | + | 0.0198305i | ||||
\(297\) | −102.893 | − | 260.350i | −0.346443 | − | 0.876598i | ||||
\(298\) | −270.725 | + | 468.910i | −0.908473 | + | 1.57352i | ||||
\(299\) | 211.948 | − | 122.368i | 0.708857 | − | 0.409259i | ||||
\(300\) | 18.2971 | + | 59.1515i | 0.0609903 | + | 0.197172i | ||||
\(301\) | −209.583 | − | 131.063i | −0.696289 | − | 0.435424i | ||||
\(302\) | − | 265.479i | − | 0.879071i | ||||||
\(303\) | 211.157 | + | 195.614i | 0.696888 | + | 0.645592i | ||||
\(304\) | 124.936 | − | 216.396i | 0.410975 | − | 0.711829i | ||||
\(305\) | 11.6974 | + | 6.75352i | 0.0383523 | + | 0.0221427i | ||||
\(306\) | −301.389 | − | 144.554i | −0.984932 | − | 0.472400i | ||||
\(307\) | 418.952 | 1.36467 | 0.682333 | − | 0.731042i | \(-0.260966\pi\) | ||||
0.682333 | + | 0.731042i | \(0.260966\pi\) | |||||||
\(308\) | −299.401 | − | 10.5590i | −0.972082 | − | 0.0342824i | ||||
\(309\) | 133.905 | + | 432.893i | 0.433349 | + | 1.40095i | ||||
\(310\) | −124.867 | − | 216.277i | −0.402798 | − | 0.697667i | ||||
\(311\) | −220.311 | − | 127.197i | −0.708396 | − | 0.408993i | 0.102071 | − | 0.994777i | \(-0.467453\pi\) |
−0.810467 | + | 0.585784i | \(0.800787\pi\) | |||||||
\(312\) | 2.69257 | − | 11.8401i | 0.00863004 | − | 0.0379490i | ||||
\(313\) | 130.448 | + | 225.942i | 0.416765 | + | 0.721859i | 0.995612 | − | 0.0935778i | \(-0.0298304\pi\) |
−0.578847 | + | 0.815436i | \(0.696497\pi\) | |||||||
\(314\) | − | 190.442i | − | 0.606503i | ||||||
\(315\) | 124.792 | + | 65.3602i | 0.396165 | + | 0.207493i | ||||
\(316\) | 339.213 | 1.07346 | ||||||||
\(317\) | −348.433 | + | 201.168i | −1.09916 | + | 0.634599i | −0.936000 | − | 0.352001i | \(-0.885501\pi\) |
−0.163158 | + | 0.986600i | \(0.552168\pi\) | |||||||
\(318\) | 754.593 | + | 171.603i | 2.37293 | + | 0.539632i | ||||
\(319\) | 105.055 | − | 181.961i | 0.329327 | − | 0.570411i | ||||
\(320\) | −131.723 | + | 76.0505i | −0.411635 | + | 0.237658i | ||||
\(321\) | −135.934 | + | 42.0480i | −0.423471 | + | 0.130991i | ||||
\(322\) | 388.213 | − | 206.244i | 1.20563 | − | 0.640510i | ||||
\(323\) | − | 210.386i | − | 0.651349i | ||||||
\(324\) | 330.457 | − | 50.8783i | 1.01993 | − | 0.157032i | ||||
\(325\) | 27.7759 | − | 48.1093i | 0.0854643 | − | 0.148028i | ||||
\(326\) | 143.526 | + | 82.8650i | 0.440265 | + | 0.254187i | ||||
\(327\) | 398.544 | − | 430.211i | 1.21879 | − | 1.31563i | ||||
\(328\) | 17.9755 | 0.0548034 | ||||||||
\(329\) | 586.916 | + | 20.6988i | 1.78394 | + | 0.0629142i | ||||
\(330\) | −189.434 | + | 58.5969i | −0.574043 | + | 0.177566i | ||||
\(331\) | 179.035 | + | 310.098i | 0.540891 | + | 0.936851i | 0.998853 | + | 0.0478793i | \(0.0152463\pi\) |
−0.457962 | + | 0.888972i | \(0.651420\pi\) | |||||||
\(332\) | 3.40186 | + | 1.96406i | 0.0102466 | + | 0.00591586i | ||||
\(333\) | 22.1315 | + | 289.184i | 0.0664610 | + | 0.868420i | ||||
\(334\) | 146.582 | + | 253.887i | 0.438868 | + | 0.760142i | ||||
\(335\) | 257.018i | 0.767219i | ||||||||
\(336\) | −83.1737 | + | 314.098i | −0.247541 | + | 0.934815i | ||||
\(337\) | 84.7770 | 0.251564 | 0.125782 | − | 0.992058i | \(-0.459856\pi\) | ||||
0.125782 | + | 0.992058i | \(0.459856\pi\) | |||||||
\(338\) | 112.486 | − | 64.9441i | 0.332800 | − | 0.192142i | ||||
\(339\) | 66.6107 | − | 292.908i | 0.196492 | − | 0.864037i | ||||
\(340\) | −60.1216 | + | 104.134i | −0.176828 | + | 0.306276i | ||||
\(341\) | 351.761 | − | 203.089i | 1.03156 | − | 0.595569i | ||||
\(342\) | 233.963 | + | 341.997i | 0.684102 | + | 0.999991i | ||||
\(343\) | 36.2071 | − | 341.084i | 0.105560 | − | 0.994413i | ||||
\(344\) | 12.8643i | 0.0373962i | ||||||||
\(345\) | 100.421 | − | 108.400i | 0.291076 | − | 0.314204i | ||||
\(346\) | −157.674 | + | 273.099i | −0.455705 | + | 0.789304i | ||||
\(347\) | −92.7077 | − | 53.5248i | −0.267169 | − | 0.154250i | 0.360431 | − | 0.932786i | \(-0.382630\pi\) |
−0.627601 | + | 0.778536i | \(0.715963\pi\) | |||||||
\(348\) | 184.090 | + | 170.540i | 0.528995 | + | 0.490057i | ||||
\(349\) | 158.877 | 0.455234 | 0.227617 | − | 0.973751i | \(-0.426907\pi\) | ||||
0.227617 | + | 0.973751i | \(0.426907\pi\) | |||||||
\(350\) | 52.9059 | − | 84.6020i | 0.151160 | − | 0.241720i | ||||
\(351\) | −234.977 | − | 186.477i | −0.669449 | − | 0.531274i | ||||
\(352\) | −236.233 | − | 409.168i | −0.671117 | − | 1.16241i | ||||
\(353\) | 259.886 | + | 150.045i | 0.736222 | + | 0.425058i | 0.820694 | − | 0.571368i | \(-0.193587\pi\) |
−0.0844720 | + | 0.996426i | \(0.526920\pi\) | |||||||
\(354\) | 298.455 | + | 67.8721i | 0.843094 | + | 0.191729i | ||||
\(355\) | 51.4012 | + | 89.0295i | 0.144792 | + | 0.250787i | ||||
\(356\) | 68.1393i | 0.191402i | ||||||||
\(357\) | 71.5830 | + | 264.045i | 0.200513 | + | 0.739622i | ||||
\(358\) | 202.151 | 0.564668 | ||||||||
\(359\) | −120.127 | + | 69.3556i | −0.334617 | + | 0.193191i | −0.657889 | − | 0.753115i | \(-0.728550\pi\) |
0.323272 | + | 0.946306i | \(0.395217\pi\) | |||||||
\(360\) | −0.559437 | − | 7.30995i | −0.00155399 | − | 0.0203054i | ||||
\(361\) | 50.0980 | − | 86.7722i | 0.138776 | − | 0.240366i | ||||
\(362\) | −491.867 | + | 283.980i | −1.35875 | + | 0.784474i | ||||
\(363\) | 11.9663 | + | 38.6851i | 0.0329650 | + | 0.106571i | ||||
\(364\) | −283.503 | + | 150.615i | −0.778854 | + | 0.413779i | ||||
\(365\) | 72.7876i | 0.199418i | ||||||||
\(366\) | −37.8997 | − | 35.1100i | −0.103551 | − | 0.0959291i | ||||
\(367\) | −243.334 | + | 421.468i | −0.663036 | + | 1.14841i | 0.316777 | + | 0.948500i | \(0.397399\pi\) |
−0.979814 | + | 0.199913i | \(0.935934\pi\) | |||||||
\(368\) | 295.164 | + | 170.413i | 0.802076 | + | 0.463079i | ||||
\(369\) | 192.049 | − | 400.414i | 0.520459 | − | 1.08513i | ||||
\(370\) | 205.433 | 0.555225 | ||||||||
\(371\) | −297.152 | − | 559.329i | −0.800950 | − | 1.50763i | ||||
\(372\) | 143.357 | + | 463.451i | 0.385369 | + | 1.24584i | ||||
\(373\) | 164.757 | + | 285.367i | 0.441707 | + | 0.765060i | 0.997816 | − | 0.0660498i | \(-0.0210396\pi\) |
−0.556109 | + | 0.831109i | \(0.687706\pi\) | |||||||
\(374\) | −333.491 | − | 192.541i | −0.891687 | − | 0.514816i | ||||
\(375\) | 7.43771 | − | 32.7060i | 0.0198339 | − | 0.0872159i | ||||
\(376\) | −15.2817 | − | 26.4688i | −0.0406429 | − | 0.0703956i | ||||
\(377\) | − | 225.148i | − | 0.597209i | ||||||
\(378\) | −409.999 | − | 349.619i | −1.08465 | − | 0.924918i | ||||
\(379\) | 165.444 | 0.436528 | 0.218264 | − | 0.975890i | \(-0.429961\pi\) | ||||
0.218264 | + | 0.975890i | \(0.429961\pi\) | |||||||
\(380\) | 129.089 | − | 74.5296i | 0.339708 | − | 0.196131i | ||||
\(381\) | 447.877 | + | 101.852i | 1.17553 | + | 0.267329i | ||||
\(382\) | −280.121 | + | 485.184i | −0.733301 | + | 1.27011i | ||||
\(383\) | −39.4178 | + | 22.7579i | −0.102918 | + | 0.0594200i | −0.550576 | − | 0.834785i | \(-0.685592\pi\) |
0.447657 | + | 0.894205i | \(0.352258\pi\) | |||||||
\(384\) | 33.3935 | − | 10.3295i | 0.0869623 | − | 0.0268997i | ||||
\(385\) | 137.600 | + | 86.0482i | 0.357402 | + | 0.223502i | ||||
\(386\) | 691.870i | 1.79241i | ||||||||
\(387\) | 286.559 | + | 137.441i | 0.740462 | + | 0.355145i | ||||
\(388\) | 295.557 | − | 511.920i | 0.761745 | − | 1.31938i | ||||
\(389\) | −221.480 | − | 127.871i | −0.569356 | − | 0.328718i | 0.187536 | − | 0.982258i | \(-0.439950\pi\) |
−0.756892 | + | 0.653540i | \(0.773283\pi\) | |||||||
\(390\) | −144.401 | + | 155.874i | −0.370258 | + | 0.399677i | ||||
\(391\) | 286.966 | 0.733928 | ||||||||
\(392\) | −16.0494 | + | 7.81406i | −0.0409422 | + | 0.0199338i | ||||
\(393\) | −408.941 | + | 126.496i | −1.04056 | + | 0.321873i | ||||
\(394\) | 190.268 | + | 329.554i | 0.482914 | + | 0.836431i | ||||
\(395\) | −159.137 | − | 91.8779i | −0.402879 | − | 0.232602i | ||||
\(396\) | 384.061 | − | 29.3925i | 0.969850 | − | 0.0742235i | ||||
\(397\) | 29.5642 | + | 51.2068i | 0.0744691 | + | 0.128984i | 0.900855 | − | 0.434120i | \(-0.142940\pi\) |
−0.826386 | + | 0.563104i | \(0.809607\pi\) | |||||||
\(398\) | − | 269.200i | − | 0.676381i | ||||||
\(399\) | 86.8124 | − | 327.839i | 0.217575 | − | 0.821651i | ||||
\(400\) | 77.3627 | 0.193407 | ||||||||
\(401\) | −155.996 | + | 90.0643i | −0.389017 | + | 0.224599i | −0.681734 | − | 0.731600i | \(-0.738774\pi\) |
0.292717 | + | 0.956199i | \(0.405441\pi\) | |||||||
\(402\) | 217.996 | − | 958.599i | 0.542279 | − | 2.38457i | ||||
\(403\) | 217.624 | − | 376.935i | 0.540009 | − | 0.935323i | ||||
\(404\) | −342.988 | + | 198.024i | −0.848979 | + | 0.490158i | ||||
\(405\) | −168.810 | − | 65.6373i | −0.416814 | − | 0.162067i | ||||
\(406\) | 14.2535 | − | 404.160i | 0.0351072 | − | 0.995469i | ||||
\(407\) | 334.124i | 0.820944i | ||||||||
\(408\) | 9.67574 | − | 10.4445i | 0.0237150 | − | 0.0255993i | ||||
\(409\) | −72.3928 | + | 125.388i | −0.177000 | + | 0.306572i | −0.940851 | − | 0.338819i | \(-0.889972\pi\) |
0.763852 | + | 0.645392i | \(0.223306\pi\) | |||||||
\(410\) | −272.413 | − | 157.278i | −0.664422 | − | 0.383604i | ||||
\(411\) | 2.93809 | + | 2.72182i | 0.00714863 | + | 0.00662244i | ||||
\(412\) | −623.474 | −1.51329 | ||||||||
\(413\) | −117.529 | − | 221.225i | −0.284574 | − | 0.535653i | ||||
\(414\) | −466.483 | + | 319.125i | −1.12677 | + | 0.770834i | ||||
\(415\) | −1.06396 | − | 1.84283i | −0.00256375 | − | 0.00444055i | ||||
\(416\) | −438.451 | − | 253.140i | −1.05397 | − | 0.608509i | ||||
\(417\) | −125.284 | − | 28.4910i | −0.300442 | − | 0.0683238i | ||||
\(418\) | 238.683 | + | 413.411i | 0.571012 | + | 0.989022i | ||||
\(419\) | 534.928i | 1.27668i | 0.769756 | + | 0.638339i | \(0.220378\pi\) | ||||
−0.769756 | + | 0.638339i | \(0.779622\pi\) | |||||||
\(420\) | −136.655 | + | 137.461i | −0.325369 | + | 0.327287i | ||||
\(421\) | 314.435 | 0.746876 | 0.373438 | − | 0.927655i | \(-0.378179\pi\) | ||||
0.373438 | + | 0.927655i | \(0.378179\pi\) | |||||||
\(422\) | −193.148 | + | 111.514i | −0.457696 | + | 0.264251i | ||||
\(423\) | −752.874 | + | 57.6181i | −1.77984 | + | 0.136213i | ||||
\(424\) | −16.4808 | + | 28.5457i | −0.0388699 | + | 0.0673247i | ||||
\(425\) | 56.4105 | − | 32.5686i | 0.132731 | − | 0.0766320i | ||||
\(426\) | −116.198 | − | 375.650i | −0.272766 | − | 0.881807i | ||||
\(427\) | −1.49029 | + | 42.2575i | −0.00349015 | + | 0.0989636i | ||||
\(428\) | − | 195.779i | − | 0.457428i | ||||||
\(429\) | −253.519 | − | 234.859i | −0.590954 | − | 0.547456i | ||||
\(430\) | 112.557 | − | 194.954i | 0.261760 | − | 0.453382i | ||||
\(431\) | 144.893 | + | 83.6543i | 0.336180 | + | 0.194093i | 0.658581 | − | 0.752510i | \(-0.271157\pi\) |
−0.322402 | + | 0.946603i | \(0.604490\pi\) | |||||||
\(432\) | 61.2831 | − | 413.239i | 0.141859 | − | 0.956572i | ||||
\(433\) | −307.177 | −0.709415 | −0.354707 | − | 0.934977i | \(-0.615420\pi\) | ||||
−0.354707 | + | 0.934977i | \(0.615420\pi\) | |||||||
\(434\) | 414.517 | − | 662.855i | 0.955108 | − | 1.52732i | ||||
\(435\) | −40.1716 | − | 129.868i | −0.0923486 | − | 0.298548i | ||||
\(436\) | 403.453 | + | 698.802i | 0.925352 | + | 1.60276i | ||||
\(437\) | −308.077 | − | 177.868i | −0.704981 | − | 0.407021i | ||||
\(438\) | 61.7366 | − | 271.475i | 0.140951 | − | 0.619807i | ||||
\(439\) | 281.613 | + | 487.769i | 0.641488 | + | 1.11109i | 0.985101 | + | 0.171979i | \(0.0550160\pi\) |
−0.343612 | + | 0.939112i | \(0.611651\pi\) | |||||||
\(440\) | − | 8.44595i | − | 0.0191953i | ||||||
\(441\) | 2.59187 | + | 440.992i | 0.00587726 | + | 0.999983i | ||||
\(442\) | −412.642 | −0.933578 | ||||||||
\(443\) | −275.103 | + | 158.831i | −0.621000 | + | 0.358535i | −0.777258 | − | 0.629182i | \(-0.783390\pi\) |
0.156258 | + | 0.987716i | \(0.450057\pi\) | |||||||
\(444\) | −389.124 | − | 88.4913i | −0.876406 | − | 0.199305i | ||||
\(445\) | 18.4559 | − | 31.9666i | 0.0414740 | − | 0.0718350i | ||||
\(446\) | 745.762 | − | 430.566i | 1.67211 | − | 0.965394i | ||||
\(447\) | −544.316 | + | 168.371i | −1.21771 | + | 0.376669i | ||||
\(448\) | −403.712 | − | 252.461i | −0.901143 | − | 0.563530i | ||||
\(449\) | − | 343.801i | − | 0.765705i | −0.923810 | − | 0.382852i | \(-0.874942\pi\) | ||
0.923810 | − | 0.382852i | \(-0.125058\pi\) | |||||||
\(450\) | −55.4807 | + | 115.675i | −0.123291 | + | 0.257055i | ||||
\(451\) | 255.803 | − | 443.063i | 0.567190 | − | 0.982402i | ||||
\(452\) | 357.938 | + | 206.655i | 0.791897 | + | 0.457202i | ||||
\(453\) | 189.852 | − | 204.936i | 0.419099 | − | 0.452398i | ||||
\(454\) | −916.827 | −2.01944 | ||||||||
\(455\) | 173.797 | + | 6.12928i | 0.381970 | + | 0.0134709i | ||||
\(456\) | −16.8613 | + | 5.21564i | −0.0369765 | + | 0.0114378i | ||||
\(457\) | −238.079 | − | 412.365i | −0.520960 | − | 0.902330i | −0.999703 | − | 0.0243743i | \(-0.992241\pi\) |
0.478743 | − | 0.877955i | \(-0.341093\pi\) | |||||||
\(458\) | 510.005 | + | 294.451i | 1.11355 | + | 0.642907i | ||||
\(459\) | −129.282 | − | 327.120i | −0.281660 | − | 0.712681i | ||||
\(460\) | 101.658 | + | 176.077i | 0.220996 | + | 0.382777i | ||||
\(461\) | 137.889i | 0.299109i | 0.988754 | + | 0.149554i | \(0.0477839\pi\) | ||||
−0.988754 | + | 0.149554i | \(0.952216\pi\) | |||||||
\(462\) | −440.222 | − | 437.642i | −0.952861 | − | 0.947277i | ||||
\(463\) | −436.221 | −0.942163 | −0.471081 | − | 0.882090i | \(-0.656136\pi\) | ||||
−0.471081 | + | 0.882090i | \(0.656136\pi\) | |||||||
\(464\) | 271.539 | − | 156.773i | 0.585213 | − | 0.337873i | ||||
\(465\) | 58.2743 | − | 256.251i | 0.125321 | − | 0.551077i | ||||
\(466\) | 326.098 | − | 564.818i | 0.699780 | − | 1.21206i | ||||
\(467\) | 66.6417 | − | 38.4756i | 0.142702 | − | 0.0823889i | −0.426949 | − | 0.904276i | \(-0.640412\pi\) |
0.569651 | + | 0.821887i | \(0.307078\pi\) | |||||||
\(468\) | 340.662 | − | 233.050i | 0.727910 | − | 0.497970i | ||||
\(469\) | −710.545 | + | 377.488i | −1.51502 | + | 0.804880i | ||||
\(470\) | 534.834i | 1.13794i | ||||||||
\(471\) | 136.191 | − | 147.012i | 0.289152 | − | 0.312126i | ||||
\(472\) | −6.51848 | + | 11.2903i | −0.0138103 | + | 0.0239202i | ||||
\(473\) | 317.081 | + | 183.067i | 0.670362 | + | 0.387034i | ||||
\(474\) | 515.604 | + | 477.652i | 1.08777 | + | 1.00771i | ||||
\(475\) | −80.7471 | −0.169994 | ||||||||
\(476\) | −376.187 | − | 13.2670i | −0.790309 | − | 0.0278718i | ||||
\(477\) | 459.789 | + | 672.099i | 0.963918 | + | 1.40901i | ||||
\(478\) | −234.924 | − | 406.900i | −0.491473 | − | 0.851256i | ||||
\(479\) | −372.658 | − | 215.154i | −0.777992 | − | 0.449174i | 0.0577262 | − | 0.998332i | \(-0.481615\pi\) |
−0.835718 | + | 0.549159i | \(0.814948\pi\) | |||||||
\(480\) | −298.071 | − | 67.7847i | −0.620981 | − | 0.141218i | ||||
\(481\) | 179.018 | + | 310.069i | 0.372180 | + | 0.644634i | ||||
\(482\) | − | 677.141i | − | 1.40486i | ||||||
\(483\) | 447.172 | + | 118.412i | 0.925821 | + | 0.245159i | ||||
\(484\) | −55.7162 | −0.115116 | ||||||||
\(485\) | −277.313 | + | 160.107i | −0.571779 | + | 0.330117i | ||||
\(486\) | 573.937 | + | 387.987i | 1.18094 | + | 0.798327i | ||||
\(487\) | −457.072 | + | 791.671i | −0.938546 | + | 1.62561i | −0.170360 | + | 0.985382i | \(0.554493\pi\) |
−0.768186 | + | 0.640227i | \(0.778840\pi\) | |||||||
\(488\) | 1.90573 | − | 1.10027i | 0.00390518 | − | 0.00225466i | ||||
\(489\) | 51.5359 | + | 166.607i | 0.105390 | + | 0.340710i | ||||
\(490\) | 311.592 | + | 22.0052i | 0.635903 | + | 0.0449086i | ||||
\(491\) | 668.798i | 1.36211i | 0.732230 | + | 0.681057i | \(0.238480\pi\) | ||||
−0.732230 | + | 0.681057i | \(0.761520\pi\) | |||||||
\(492\) | 448.247 | + | 415.253i | 0.911072 | + | 0.844011i | ||||
\(493\) | 131.998 | − | 228.628i | 0.267745 | − | 0.463748i | ||||
\(494\) | 442.998 | + | 255.765i | 0.896757 | + | 0.517743i | ||||
\(495\) | −188.138 | − | 90.2360i | −0.380076 | − | 0.182295i | ||||
\(496\) | 606.136 | 1.22205 | ||||||||
\(497\) | −170.634 | + | 272.862i | −0.343328 | + | 0.549018i | ||||
\(498\) | 2.40519 | + | 7.77560i | 0.00482971 | + | 0.0156137i | ||||
\(499\) | 215.322 | + | 372.948i | 0.431506 | + | 0.747391i | 0.997003 | − | 0.0773597i | \(-0.0246490\pi\) |
−0.565497 | + | 0.824750i | \(0.691316\pi\) | |||||||
\(500\) | 39.9671 | + | 23.0750i | 0.0799342 | + | 0.0461500i | ||||
\(501\) | −68.4082 | + | 300.813i | −0.136543 | + | 0.600425i | ||||
\(502\) | −667.312 | − | 1155.82i | −1.32931 | − | 2.30243i | ||||
\(503\) | 188.768i | 0.375285i | 0.982237 | + | 0.187643i | \(0.0600846\pi\) | ||||
−0.982237 | + | 0.187643i | \(0.939915\pi\) | |||||||
\(504\) | 19.3872 | − | 12.2829i | 0.0384667 | − | 0.0243708i | ||||
\(505\) | 214.544 | 0.424839 | ||||||||
\(506\) | −563.893 | + | 325.564i | −1.11441 | + | 0.643406i | ||||
\(507\) | 133.277 | + | 30.3087i | 0.262874 | + | 0.0597805i | ||||
\(508\) | −315.990 | + | 547.310i | −0.622027 | + | 1.07738i | ||||
\(509\) | 51.9288 | − | 29.9811i | 0.102021 | − | 0.0589019i | −0.448121 | − | 0.893973i | \(-0.647907\pi\) |
0.550142 | + | 0.835071i | \(0.314573\pi\) | |||||||
\(510\) | −238.018 | + | 73.6250i | −0.466701 | + | 0.144363i | ||||
\(511\) | −201.226 | + | 106.905i | −0.393790 | + | 0.209207i | ||||
\(512\) | − | 727.604i | − | 1.42110i | ||||||
\(513\) | −63.9641 | + | 431.317i | −0.124686 | + | 0.840775i | ||||
\(514\) | 370.726 | − | 642.116i | 0.721257 | − | 1.24925i | ||||
\(515\) | 292.494 | + | 168.872i | 0.567950 | + | 0.327906i | ||||
\(516\) | −297.179 | + | 320.791i | −0.575928 | + | 0.621688i | ||||
\(517\) | −869.874 | −1.68254 | ||||||||
\(518\) | 301.724 | + | 567.935i | 0.582480 | + | 1.09640i | ||||
\(519\) | −317.017 | + | 98.0615i | −0.610823 | + | 0.188943i | ||||
\(520\) | −4.52520 | − | 7.83788i | −0.00870231 | − | 0.0150729i | ||||
\(521\) | −162.262 | − | 93.6823i | −0.311444 | − | 0.179812i | 0.336128 | − | 0.941816i | \(-0.390882\pi\) |
−0.647573 | + | 0.762004i | \(0.724216\pi\) | |||||||
\(522\) | 39.6768 | + | 518.442i | 0.0760093 | + | 0.993184i | ||||
\(523\) | −37.8206 | − | 65.5072i | −0.0723147 | − | 0.125253i | 0.827601 | − | 0.561317i | \(-0.189705\pi\) |
−0.899915 | + | 0.436065i | \(0.856372\pi\) | |||||||
\(524\) | − | 588.977i | − | 1.12400i | ||||||
\(525\) | 101.342 | − | 27.4739i | 0.193032 | − | 0.0523313i | ||||
\(526\) | 634.478 | 1.20623 | ||||||||
\(527\) | 441.975 | − | 255.174i | 0.838662 | − | 0.484202i | ||||
\(528\) | 106.722 | − | 469.291i | 0.202125 | − | 0.888809i | ||||
\(529\) | −21.8879 | + | 37.9110i | −0.0413760 | + | 0.0716653i | ||||
\(530\) | 499.524 | − | 288.400i | 0.942498 | − | 0.544151i | ||||
\(531\) | 181.855 | + | 265.828i | 0.342476 | + | 0.500617i | ||||
\(532\) | 395.639 | + | 247.413i | 0.743681 | + | 0.465061i | ||||
\(533\) | − | 548.220i | − | 1.02855i | ||||||
\(534\) | −95.9482 | + | 103.572i | −0.179678 | + | 0.193955i | ||||
\(535\) | −53.0280 | + | 91.8471i | −0.0991177 | + | 0.171677i | ||||
\(536\) | 36.2631 | + | 20.9365i | 0.0676550 | + | 0.0390606i | ||||
\(537\) | 156.050 | + | 144.564i | 0.290596 | + | 0.269206i | ||||
\(538\) | −234.648 | −0.436149 | ||||||||
\(539\) | −35.7901 | + | 506.786i | −0.0664010 | + | 0.940233i | ||||
\(540\) | 154.917 | − | 195.208i | 0.286883 | − | 0.361497i | ||||
\(541\) | −514.257 | − | 890.720i | −0.950568 | − | 1.64643i | −0.744199 | − | 0.667958i | \(-0.767169\pi\) |
−0.206369 | − | 0.978474i | \(-0.566165\pi\) | |||||||
\(542\) | 781.684 | + | 451.306i | 1.44222 | + | 0.832667i | ||||
\(543\) | −582.778 | − | 132.530i | −1.07326 | − | 0.244071i | ||||
\(544\) | −296.819 | − | 514.106i | −0.545623 | − | 0.945047i | ||||
\(545\) | − | 437.111i | − | 0.802038i | ||||||
\(546\) | −643.009 | − | 170.270i | −1.17767 | − | 0.311850i | ||||
\(547\) | 886.579 | 1.62080 | 0.810401 | − | 0.585875i | \(-0.199249\pi\) | ||||
0.810401 | + | 0.585875i | \(0.199249\pi\) | |||||||
\(548\) | −4.77241 | + | 2.75535i | −0.00870877 | + | 0.00502801i | ||||
\(549\) | −4.14846 | − | 54.2063i | −0.00755639 | − | 0.0987364i | ||||
\(550\) | −73.8983 | + | 127.996i | −0.134361 | + | 0.232719i | ||||
\(551\) | −283.418 | + | 163.631i | −0.514370 | + | 0.296972i | ||||
\(552\) | −7.11412 | − | 22.9988i | −0.0128879 | − | 0.0416645i | ||||
\(553\) | 20.2746 | − | 574.889i | 0.0366629 | − | 1.03958i | ||||
\(554\) | 1373.21i | 2.47872i | ||||||||
\(555\) | 158.584 | + | 146.911i | 0.285737 | + | 0.264705i | ||||
\(556\) | 88.3916 | − | 153.099i | 0.158978 | − | 0.275357i | ||||
\(557\) | −938.357 | − | 541.760i | −1.68466 | − | 0.972640i | −0.958490 | − | 0.285126i | \(-0.907964\pi\) |
−0.726172 | − | 0.687513i | \(-0.758702\pi\) | |||||||
\(558\) | −434.691 | + | 906.310i | −0.779015 | + | 1.62421i | ||||
\(559\) | 392.337 | 0.701855 | ||||||||
\(560\) | 113.624 | + | 213.875i | 0.202901 | + | 0.381919i | ||||
\(561\) | −119.746 | − | 387.121i | −0.213452 | − | 0.690055i | ||||
\(562\) | 312.935 | + | 542.020i | 0.556824 | + | 0.964448i | ||||
\(563\) | 522.999 | + | 301.954i | 0.928951 | + | 0.536330i | 0.886480 | − | 0.462768i | \(-0.153144\pi\) |
0.0424714 | + | 0.999098i | \(0.486477\pi\) | |||||||
\(564\) | 230.382 | − | 1013.06i | 0.408479 | − | 1.79621i | ||||
\(565\) | −111.948 | − | 193.899i | −0.198137 | − | 0.343184i | ||||
\(566\) | − | 1075.86i | − | 1.90081i | ||||||
\(567\) | −66.4759 | − | 563.090i | −0.117241 | − | 0.993103i | ||||
\(568\) | 16.7484 | 0.0294866 | ||||||||
\(569\) | −26.9827 | + | 15.5785i | −0.0474213 | + | 0.0273787i | −0.523523 | − | 0.852011i | \(-0.675383\pi\) |
0.476102 | + | 0.879390i | \(0.342049\pi\) | |||||||
\(570\) | 301.162 | + | 68.4877i | 0.528354 | + | 0.120154i | ||||
\(571\) | −118.832 | + | 205.822i | −0.208111 | + | 0.360460i | −0.951120 | − | 0.308823i | \(-0.900065\pi\) |
0.743008 | + | 0.669282i | \(0.233398\pi\) | |||||||
\(572\) | 411.798 | − | 237.752i | 0.719926 | − | 0.415650i | ||||
\(573\) | −563.207 | + | 174.215i | −0.982910 | + | 0.304039i | ||||
\(574\) | 34.7063 | − | 984.103i | 0.0604640 | − | 1.71447i | ||||
\(575\) | − | 110.139i | − | 0.191546i | ||||||
\(576\) | 551.988 | + | 264.748i | 0.958312 | + | 0.459632i | ||||
\(577\) | 423.514 | − | 733.547i | 0.733993 | − | 1.27131i | −0.221171 | − | 0.975235i | \(-0.570988\pi\) |
0.955164 | − | 0.296078i | \(-0.0956787\pi\) | |||||||
\(578\) | 294.514 | + | 170.038i | 0.509539 | + | 0.294183i | ||||
\(579\) | −494.776 | + | 534.088i | −0.854535 | + | 0.922432i | ||||
\(580\) | 187.043 | 0.322488 | ||||||||
\(581\) | 3.53197 | − | 5.64799i | 0.00607912 | − | 0.00972115i | ||||
\(582\) | 1170.09 | − | 361.939i | 2.01046 | − | 0.621888i | ||||
\(583\) | 469.065 | + | 812.444i | 0.804571 | + | 1.39356i | ||||
\(584\) | 10.2697 | + | 5.92922i | 0.0175851 | + | 0.0101528i | ||||
\(585\) | −222.940 | + | 17.0618i | −0.381093 | + | 0.0291654i | ||||
\(586\) | 144.573 | + | 250.407i | 0.246711 | + | 0.427316i | ||||
\(587\) | 741.750i | 1.26363i | 0.775120 | + | 0.631814i | \(0.217689\pi\) | ||||
−0.775120 | + | 0.631814i | \(0.782311\pi\) | |||||||
\(588\) | −580.728 | − | 175.901i | −0.987633 | − | 0.299152i | ||||
\(589\) | −632.653 | −1.07411 | ||||||||
\(590\) | 197.571 | − | 114.068i | 0.334866 | − | 0.193335i | ||||
\(591\) | −88.7961 | + | 390.465i | −0.150247 | + | 0.660685i | ||||
\(592\) | −249.305 | + | 431.809i | −0.421124 | + | 0.729408i | ||||
\(593\) | 228.049 | − | 131.664i | 0.384568 | − | 0.222031i | −0.295236 | − | 0.955424i | \(-0.595398\pi\) |
0.679804 | + | 0.733394i | \(0.262065\pi\) | |||||||
\(594\) | 625.160 | + | 496.126i | 1.05246 | + | 0.835229i | ||||
\(595\) | 172.890 | + | 108.117i | 0.290571 | + | 0.181708i | ||||
\(596\) | − | 783.951i | − | 1.31535i | ||||||
\(597\) | 192.512 | − | 207.808i | 0.322466 | − | 0.348088i | ||||
\(598\) | −348.863 | + | 604.249i | −0.583383 | + | 1.01045i | ||||
\(599\) | −539.808 | − | 311.658i | −0.901182 | − | 0.520298i | −0.0235986 | − | 0.999722i | \(-0.507512\pi\) |
−0.877584 | + | 0.479424i | \(0.840846\pi\) | |||||||
\(600\) | −4.00866 | − | 3.71360i | −0.00668111 | − | 0.00618933i | ||||
\(601\) | 120.748 | 0.200911 | 0.100455 | − | 0.994942i | \(-0.467970\pi\) | ||||
0.100455 | + | 0.994942i | \(0.467970\pi\) | |||||||
\(602\) | 704.280 | + | 24.8378i | 1.16990 | + | 0.0412588i | ||||
\(603\) | 853.803 | − | 584.094i | 1.41593 | − | 0.968647i | ||||
\(604\) | 192.190 | + | 332.883i | 0.318196 | + | 0.551131i | ||||
\(605\) | 26.1385 | + | 15.0911i | 0.0432041 | + | 0.0249439i | ||||
\(606\) | −800.183 | − | 181.971i | −1.32043 | − | 0.300281i | ||||
\(607\) | 61.3136 | + | 106.198i | 0.101011 | + | 0.174956i | 0.912101 | − | 0.409965i | \(-0.134459\pi\) |
−0.811090 | + | 0.584921i | \(0.801126\pi\) | |||||||
\(608\) | 735.902i | 1.21036i | ||||||||
\(609\) | 300.029 | − | 301.798i | 0.492659 | − | 0.495563i | ||||
\(610\) | −38.5076 | −0.0631272 | ||||||||
\(611\) | −807.247 | + | 466.064i | −1.32119 | + | 0.762789i | ||||
\(612\) | 482.559 | − | 36.9307i | 0.788495 | − | 0.0603442i | ||||
\(613\) | 397.390 | − | 688.299i | 0.648271 | − | 1.12284i | −0.335265 | − | 0.942124i | \(-0.608826\pi\) |
0.983536 | − | 0.180714i | \(-0.0578408\pi\) | |||||||
\(614\) | −1034.38 | + | 597.201i | −1.68466 | + | 0.972640i | ||||
\(615\) | −97.8152 | − | 316.221i | −0.159049 | − | 0.514180i | ||||
\(616\) | 23.3494 | − | 12.4048i | 0.0379049 | − | 0.0201376i | ||||
\(617\) | − | 505.078i | − | 0.818603i | −0.912399 | − | 0.409301i | \(-0.865772\pi\) | ||
0.912399 | − | 0.409301i | \(-0.134228\pi\) | |||||||
\(618\) | −947.680 | − | 877.925i | −1.53346 | − | 1.42059i | ||||
\(619\) | −184.318 | + | 319.249i | −0.297768 | + | 0.515749i | −0.975625 | − | 0.219445i | \(-0.929575\pi\) |
0.677857 | + | 0.735194i | \(0.262909\pi\) | |||||||
\(620\) | 313.141 | + | 180.792i | 0.505067 | + | 0.291600i | ||||
\(621\) | −588.317 | − | 87.2470i | −0.947370 | − | 0.140494i | ||||
\(622\) | 725.257 | 1.16601 | ||||||||
\(623\) | 115.481 | + | 4.07265i | 0.185362 | + | 0.00653716i | ||||
\(624\) | −152.400 | − | 492.684i | −0.244231 | − | 0.789558i | ||||
\(625\) | −12.5000 | − | 21.6506i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −644.143 | − | 371.896i | −1.02898 | − | 0.594084i | ||||
\(627\) | −111.391 | + | 489.821i | −0.177657 | + | 0.781214i | ||||
\(628\) | 137.868 | + | 238.794i | 0.219535 | + | 0.380246i | ||||
\(629\) | 419.816i | 0.667434i | ||||||||
\(630\) | −401.277 | + | 16.5137i | −0.636947 | + | 0.0262122i | ||||
\(631\) | −332.061 | −0.526245 | −0.263123 | − | 0.964762i | \(-0.584752\pi\) | ||||
−0.263123 | + | 0.964762i | \(0.584752\pi\) | |||||||
\(632\) | −25.9264 | + | 14.9686i | −0.0410228 | + | 0.0236845i | ||||
\(633\) | −228.847 | − | 52.0423i | −0.361527 | − | 0.0822153i | ||||
\(634\) | 573.515 | − | 993.357i | 0.904598 | − | 1.56681i | ||||
\(635\) | 296.484 | − | 171.175i | 0.466905 | − | 0.269568i | ||||
\(636\) | −1070.41 | + | 331.105i | −1.68303 | + | 0.520606i | ||||
\(637\) | 238.314 | + | 489.475i | 0.374119 | + | 0.768407i | ||||
\(638\) | 599.010i | 0.938887i | ||||||||
\(639\) | 178.939 | − | 373.079i | 0.280029 | − | 0.583848i | ||||
\(640\) | 13.0268 | − | 22.5631i | 0.0203544 | − | 0.0352549i | ||||
\(641\) | 877.294 | + | 506.506i | 1.36863 | + | 0.790181i | 0.990754 | − | 0.135673i | \(-0.0433197\pi\) |
0.377880 | + | 0.925854i | \(0.376653\pi\) | |||||||
\(642\) | 275.680 | − | 297.585i | 0.429409 | − | 0.463527i | ||||
\(643\) | 779.296 | 1.21197 | 0.605984 | − | 0.795477i | \(-0.292779\pi\) | ||||
0.605984 | + | 0.795477i | \(0.292779\pi\) | |||||||
\(644\) | −337.471 | + | 539.651i | −0.524023 | + | 0.837967i | ||||
\(645\) | 226.305 | − | 70.0021i | 0.350861 | − | 0.108530i | ||||
\(646\) | 299.897 | + | 519.437i | 0.464237 | + | 0.804082i | ||||
\(647\) | 1057.92 | + | 610.788i | 1.63511 | + | 0.944031i | 0.982483 | + | 0.186351i | \(0.0596662\pi\) |
0.652626 | + | 0.757680i | \(0.273667\pi\) | |||||||
\(648\) | −23.0120 | + | 18.4709i | −0.0355123 | + | 0.0285044i | ||||
\(649\) | 185.524 | + | 321.337i | 0.285861 | + | 0.495126i | ||||
\(650\) | 158.374i | 0.243652i | ||||||||
\(651\) | 794.012 | − | 215.258i | 1.21968 | − | 0.330657i | ||||
\(652\) | −239.956 | −0.368031 | ||||||||
\(653\) | 91.8529 | − | 53.0313i | 0.140663 | − | 0.0812118i | −0.428017 | − | 0.903771i | \(-0.640788\pi\) |
0.568680 | + | 0.822559i | \(0.307454\pi\) | |||||||
\(654\) | −370.746 | + | 1630.29i | −0.566890 | + | 2.49280i | ||||
\(655\) | −159.528 | + | 276.310i | −0.243554 | + | 0.421848i | ||||
\(656\) | 661.179 | − | 381.732i | 1.00789 | − | 0.581908i | ||||
\(657\) | 241.797 | − | 165.416i | 0.368032 | − | 0.251774i | ||||
\(658\) | −1478.59 | + | 785.523i | −2.24709 | + | 1.19380i | ||||
\(659\) | − | 1145.05i | − | 1.73756i | −0.495202 | − | 0.868778i | \(-0.664906\pi\) | ||
0.495202 | − | 0.868778i | \(-0.335094\pi\) | |||||||
\(660\) | 195.110 | − | 210.613i | 0.295622 | − | 0.319110i | ||||
\(661\) | 32.4640 | − | 56.2292i | 0.0491134 | − | 0.0850669i | −0.840424 | − | 0.541930i | \(-0.817694\pi\) |
0.889537 | + | 0.456863i | \(0.151027\pi\) | |||||||
\(662\) | −884.066 | − | 510.416i | −1.33545 | − | 0.771021i | ||||
\(663\) | −318.538 | − | 295.092i | −0.480450 | − | 0.445085i | ||||
\(664\) | −0.346676 | −0.000522103 | ||||||||
\(665\) | −118.595 | − | 223.231i | −0.178339 | − | 0.335686i | ||||
\(666\) | −466.863 | − | 682.440i | −0.700996 | − | 1.02468i | ||||
\(667\) | −223.193 | − | 386.582i | −0.334622 | − | 0.579583i | ||||
\(668\) | −367.597 | − | 212.232i | −0.550294 | − | 0.317713i | ||||
\(669\) | 883.599 | + | 200.941i | 1.32078 | + | 0.300359i | ||||
\(670\) | −366.370 | − | 634.572i | −0.546821 | − | 0.947122i | ||||
\(671\) | − | 62.6302i | − | 0.0933386i | ||||||
\(672\) | −250.388 | − | 923.595i | −0.372601 | − | 1.37440i | ||||
\(673\) | −414.755 | −0.616278 | −0.308139 | − | 0.951341i | \(-0.599706\pi\) | ||||
−0.308139 | + | 0.951341i | \(0.599706\pi\) | |||||||
\(674\) | −209.312 | + | 120.846i | −0.310552 | + | 0.179297i | ||||
\(675\) | −125.551 | + | 49.6191i | −0.186001 | + | 0.0735098i | ||||
\(676\) | −94.0308 | + | 162.866i | −0.139099 | + | 0.240926i | ||||
\(677\) | −254.799 | + | 147.109i | −0.376366 | + | 0.217295i | −0.676236 | − | 0.736685i | \(-0.736390\pi\) |
0.299870 | + | 0.953980i | \(0.403057\pi\) | |||||||
\(678\) | 253.070 | + | 818.135i | 0.373260 | + | 1.20669i | ||||
\(679\) | −849.922 | − | 531.499i | −1.25173 | − | 0.782767i | ||||
\(680\) | − | 10.6120i | − | 0.0156060i | ||||||
\(681\) | −707.744 | − | 655.649i | −1.03927 | − | 0.962774i | ||||
\(682\) | −578.992 | + | 1002.84i | −0.848962 | + | 1.47045i | ||||
\(683\) | −363.270 | − | 209.734i | −0.531874 | − | 0.307078i | 0.209905 | − | 0.977722i | \(-0.432684\pi\) |
−0.741779 | + | 0.670644i | \(0.766018\pi\) | |||||||
\(684\) | −540.949 | − | 259.454i | −0.790861 | − | 0.379318i | ||||
\(685\) | 2.98521 | 0.00435797 | ||||||||
\(686\) | 396.808 | + | 893.739i | 0.578437 | + | 1.30283i | ||||
\(687\) | 183.127 | + | 592.020i | 0.266560 | + | 0.861747i | ||||
\(688\) | 273.189 | + | 473.177i | 0.397077 | + | 0.687757i | ||||
\(689\) | 870.589 | + | 502.635i | 1.26355 | + | 0.729513i | ||||
\(690\) | −93.4171 | + | 410.785i | −0.135387 | + | 0.595340i | ||||
\(691\) | −65.4780 | − | 113.411i | −0.0947583 | − | 0.164126i | 0.814749 | − | 0.579813i | \(-0.196874\pi\) |
−0.909508 | + | 0.415687i | \(0.863541\pi\) | |||||||
\(692\) | − | 456.584i | − | 0.659803i | ||||||
\(693\) | −26.8585 | − | 652.652i | −0.0387569 | − | 0.941778i | ||||
\(694\) | 305.191 | 0.439756 | ||||||||
\(695\) | −82.9354 | + | 47.8828i | −0.119331 | + | 0.0688961i | ||||
\(696\) | −21.5957 | − | 4.91110i | −0.0310283 | − | 0.00705618i | ||||
\(697\) | 321.407 | − | 556.694i | 0.461129 | − | 0.798699i | ||||
\(698\) | −392.262 | + | 226.473i | −0.561980 | + | 0.324459i | ||||
\(699\) | 655.648 | − | 202.809i | 0.937980 | − | 0.290141i | ||||
\(700\) | −5.09194 | + | 144.383i | −0.00727420 | + | 0.206261i | ||||
\(701\) | − | 585.441i | − | 0.835152i | −0.908642 | − | 0.417576i | \(-0.862880\pi\) | ||
0.908642 | − | 0.417576i | \(-0.137120\pi\) | |||||||
\(702\) | 845.968 | + | 125.457i | 1.20508 | + | 0.178713i | ||||
\(703\) | 260.212 | − | 450.700i | 0.370145 | − | 0.641109i | ||||
\(704\) | 610.782 | + | 352.635i | 0.867588 | + | 0.500902i | ||||
\(705\) | −382.475 | + | 412.864i | −0.542517 | + | 0.585623i | ||||
\(706\) | −855.537 | −1.21181 | ||||||||
\(707\) | 315.105 | + | 593.122i | 0.445694 | + | 0.838927i | ||||
\(708\) | −423.367 | + | 130.958i | −0.597976 | + | 0.184969i | ||||
\(709\) | 458.739 | + | 794.560i | 0.647023 | + | 1.12068i | 0.983830 | + | 0.179103i | \(0.0573196\pi\) |
−0.336807 | + | 0.941574i | \(0.609347\pi\) | |||||||
\(710\) | −253.816 | − | 146.541i | −0.357488 | − | 0.206396i | ||||
\(711\) | 56.4375 | + | 737.447i | 0.0793776 | + | 1.03720i | ||||
\(712\) | −3.00681 | − | 5.20795i | −0.00422305 | − | 0.00731453i | ||||
\(713\) | − | 862.937i | − | 1.21029i | ||||||
\(714\) | −553.123 | − | 549.882i | −0.774682 | − | 0.770143i | ||||
\(715\) | −257.586 | −0.360260 | ||||||||
\(716\) | −253.476 | + | 146.345i | −0.354017 | + | 0.204392i | ||||
\(717\) | 109.637 | − | 482.107i | 0.152910 | − | 0.672395i | ||||
\(718\) | 197.728 | − | 342.474i | 0.275387 | − | 0.476984i | ||||
\(719\) | −115.945 | + | 66.9409i | −0.161259 | + | 0.0931028i | −0.578458 | − | 0.815712i | \(-0.696345\pi\) |
0.417199 | + | 0.908815i | \(0.363012\pi\) | |||||||
\(720\) | −175.813 | − | 256.996i | −0.244185 | − | 0.356938i | ||||
\(721\) | −37.2647 | + | 1056.65i | −0.0516848 | + | 1.46553i | ||||
\(722\) | 285.651i | 0.395639i | ||||||||
\(723\) | 484.243 | − | 522.719i | 0.669769 | − | 0.722986i | ||||
\(724\) | 411.167 | − | 712.161i | 0.567910 | − | 0.983648i | ||||
\(725\) | −87.7486 | − | 50.6617i | −0.121033 | − | 0.0698782i | ||||
\(726\) | −84.6887 | − | 78.4550i | −0.116651 | − | 0.108065i | ||||
\(727\) | −71.4890 | −0.0983343 | −0.0491672 | − | 0.998791i | \(-0.515657\pi\) | ||||
−0.0491672 | + | 0.998791i | \(0.515657\pi\) | |||||||
\(728\) | 15.0221 | − | 24.0219i | 0.0206348 | − | 0.0329971i | ||||
\(729\) | 165.589 | + | 709.944i | 0.227146 | + | 0.973861i | ||||
\(730\) | −103.756 | − | 179.711i | −0.142132 | − | 0.246179i | ||||
\(731\) | 398.401 | + | 230.017i | 0.545009 | + | 0.314661i | ||||
\(732\) | 72.9397 | + | 16.5873i | 0.0996444 | + | 0.0226603i | ||||
\(733\) | −12.2559 | − | 21.2278i | −0.0167201 | − | 0.0289601i | 0.857544 | − | 0.514410i | \(-0.171989\pi\) |
−0.874264 | + | 0.485450i | \(0.838656\pi\) | |||||||
\(734\) | − | 1387.46i | − | 1.89027i | ||||||
\(735\) | 224.797 | + | 239.815i | 0.305846 | + | 0.326279i | ||||
\(736\) | −1003.77 | −1.36382 | ||||||||
\(737\) | 1032.09 | − | 595.878i | 1.40040 | − | 0.808519i | ||||
\(738\) | 96.6104 | + | 1262.37i | 0.130908 | + | 1.71053i | ||||
\(739\) | −492.233 | + | 852.573i | −0.666080 | + | 1.15368i | 0.312911 | + | 0.949782i | \(0.398696\pi\) |
−0.978991 | + | 0.203902i | \(0.934638\pi\) | |||||||
\(740\) | −257.592 | + | 148.721i | −0.348097 | + | 0.200974i | ||||
\(741\) | 159.067 | + | 514.238i | 0.214665 | + | 0.693978i | ||||
\(742\) | 1530.96 | + | 957.389i | 2.06329 | + | 1.29028i | ||||
\(743\) | − | 409.859i | − | 0.551627i | −0.961211 | − | 0.275813i | \(-0.911053\pi\) | ||
0.961211 | − | 0.275813i | \(-0.0889472\pi\) | |||||||
\(744\) | −31.4078 | − | 29.0960i | −0.0422148 | − | 0.0391075i | ||||
\(745\) | −212.338 | + | 367.780i | −0.285017 | + | 0.493664i | ||||
\(746\) | −813.561 | − | 469.710i | −1.09056 | − | 0.629638i | ||||
\(747\) | −3.70387 | + | 7.72239i | −0.00495832 | + | 0.0103379i | ||||
\(748\) | 557.551 | 0.745389 | ||||||||
\(749\) | −331.801 | − | 11.7016i | −0.442992 | − | 0.0156230i | ||||
\(750\) | 28.2576 | + | 91.3524i | 0.0376769 | + | 0.121803i | ||||
\(751\) | −272.435 | − | 471.871i | −0.362762 | − | 0.628323i | 0.625652 | − | 0.780102i | \(-0.284833\pi\) |
−0.988414 | + | 0.151779i | \(0.951500\pi\) | |||||||
\(752\) | −1124.19 | − | 649.052i | −1.49494 | − | 0.863101i | ||||
\(753\) | 311.428 | − | 1369.45i | 0.413583 | − | 1.81865i | ||||
\(754\) | 320.940 | + | 555.884i | 0.425650 | + | 0.737247i | ||||
\(755\) | − | 208.223i | − | 0.275793i | ||||||
\(756\) | 767.198 | + | 141.572i | 1.01481 | + | 0.187265i | ||||
\(757\) | −878.475 | −1.16047 | −0.580234 | − | 0.814450i | \(-0.697039\pi\) | ||||
−0.580234 | + | 0.814450i | \(0.697039\pi\) | |||||||
\(758\) | −408.477 | + | 235.834i | −0.538888 | + | 0.311127i | ||||
\(759\) | −668.116 | − | 151.937i | −0.880258 | − | 0.200181i | ||||
\(760\) | −6.57760 | + | 11.3927i | −0.00865473 | + | 0.0149904i | ||||
\(761\) | −153.563 | + | 88.6596i | −0.201791 | + | 0.116504i | −0.597491 | − | 0.801876i | \(-0.703835\pi\) |
0.395700 | + | 0.918380i | \(0.370502\pi\) | |||||||
\(762\) | −1250.98 | + | 386.961i | −1.64171 | + | 0.507823i | ||||
\(763\) | 1208.42 | − | 641.995i | 1.58378 | − | 0.841408i | ||||
\(764\) | − | 811.159i | − | 1.06173i | ||||||
\(765\) | −236.389 | − | 113.378i | −0.309005 | − | 0.148207i | ||||
\(766\) | 64.8810 | − | 112.377i | 0.0847010 | − | 0.146706i | ||||
\(767\) | 344.334 | + | 198.801i | 0.448936 | + | 0.259193i | ||||
\(768\) | 487.000 | − | 525.695i | 0.634115 | − | 0.684499i | ||||
\(769\) | −504.867 | −0.656524 | −0.328262 | − | 0.944587i | \(-0.606463\pi\) | ||||
−0.328262 | + | 0.944587i | \(0.606463\pi\) | |||||||
\(770\) | −462.389 | − | 16.3071i | −0.600505 | − | 0.0211780i | ||||
\(771\) | 745.377 | − | 230.564i | 0.966766 | − | 0.299046i | ||||
\(772\) | −500.870 | − | 867.533i | −0.648796 | − | 1.12375i | ||||
\(773\) | −791.664 | − | 457.067i | −1.02414 | − | 0.591290i | −0.108843 | − | 0.994059i | \(-0.534715\pi\) |
−0.915302 | + | 0.402769i | \(0.868048\pi\) | |||||||
\(774\) | −903.424 | + | 69.1399i | −1.16721 | + | 0.0893280i | ||||
\(775\) | −97.9373 | − | 169.632i | −0.126371 | − | 0.218880i | ||||
\(776\) | 52.1686i | 0.0672276i | ||||||||
\(777\) | −173.230 | + | 654.188i | −0.222948 | + | 0.841941i | ||||
\(778\) | 729.104 | 0.937151 | ||||||||
\(779\) | −690.104 | + | 398.432i | −0.885884 | + | 0.511465i | ||||
\(780\) | 68.2203 | − | 299.987i | 0.0874620 | − | 0.384598i | ||||
\(781\) | 238.340 | − | 412.817i | 0.305173 | − | 0.528575i | ||||
\(782\) | −708.512 | + | 409.059i | −0.906025 | + | 0.523094i | ||||
\(783\) | −340.124 | + | 428.585i | −0.434386 | + | 0.547362i | ||||
\(784\) | −424.389 | + | 628.245i | −0.541313 | + | 0.801333i | ||||
\(785\) | − | 149.370i | − | 0.190280i | ||||||
\(786\) | 829.349 | − | 895.245i | 1.05515 | − | 1.13899i | ||||
\(787\) | −1.82589 | + | 3.16253i | −0.00232006 | + | 0.00401846i | −0.867183 | − | 0.497989i | \(-0.834072\pi\) |
0.864863 | + | 0.502008i | \(0.167405\pi\) | |||||||
\(788\) | −477.152 | − | 275.484i | −0.605523 | − | 0.349599i | ||||
\(789\) | 489.785 | + | 453.733i | 0.620767 | + | 0.575074i | ||||
\(790\) | 523.874 | 0.663132 | ||||||||
\(791\) | 371.628 | − | 594.271i | 0.469820 | − | 0.751291i | ||||
\(792\) | −28.0571 | + | 19.1941i | −0.0354256 | + | 0.0242350i | ||||
\(793\) | −33.5562 | − | 58.1211i | −0.0423156 | − | 0.0732927i | ||||
\(794\) | −145.987 | − | 84.2855i | −0.183862 | − | 0.106153i | ||||
\(795\) | 591.850 | + | 134.593i | 0.744465 | + | 0.169300i | ||||
\(796\) | 194.883 | + | 337.548i | 0.244828 | + | 0.424055i | ||||
\(797\) | − | 526.602i | − | 0.660730i | −0.943853 | − | 0.330365i | \(-0.892828\pi\) | ||
0.943853 | − | 0.330365i | \(-0.107172\pi\) | |||||||
\(798\) | 252.985 | + | 933.173i | 0.317023 | + | 1.16939i | ||||
\(799\) | −1092.97 | −1.36792 | ||||||||
\(800\) | −197.316 | + | 113.921i | −0.246646 | + | 0.142401i | ||||
\(801\) | −148.134 | + | 11.3368i | −0.184936 | + | 0.0141534i | ||||
\(802\) | 256.767 | − | 444.733i | 0.320158 | − | 0.554530i | ||||
\(803\) | 292.288 | − | 168.753i | 0.363995 | − | 0.210153i | ||||
\(804\) | 420.621 | + | 1359.80i | 0.523160 | + | 1.69129i | ||||
\(805\) | 304.487 | − | 161.764i | 0.378245 | − | 0.200949i | ||||
\(806\) | 1240.86i | 1.53953i | ||||||||
\(807\) | −181.136 | − | 167.804i | −0.224457 | − | 0.207935i | ||||
\(808\) | 17.4766 | − | 30.2703i | 0.0216294 | − | 0.0374632i | ||||
\(809\) | 301.785 | + | 174.236i | 0.373035 | + | 0.215372i | 0.674784 | − | 0.738016i | \(-0.264237\pi\) |
−0.301748 | + | 0.953388i | \(0.597570\pi\) | |||||||
\(810\) | 510.351 | − | 78.5754i | 0.630063 | − | 0.0970067i | ||||
\(811\) | 270.851 | 0.333972 | 0.166986 | − | 0.985959i | \(-0.446597\pi\) | ||||
0.166986 | + | 0.985959i | \(0.446597\pi\) | |||||||
\(812\) | 274.714 | + | 517.094i | 0.338318 | + | 0.636815i | ||||
\(813\) | 280.679 | + | 907.389i | 0.345238 | + | 1.11610i | ||||
\(814\) | −476.282 | − | 824.945i | −0.585113 | − | 1.01345i | ||||
\(815\) | 112.572 | + | 64.9935i | 0.138125 | + | 0.0797466i | ||||
\(816\) | 134.093 | − | 589.648i | 0.164329 | − | 0.722608i | ||||
\(817\) | −285.140 | − | 493.877i | −0.349009 | − | 0.604501i | ||||
\(818\) | − | 412.773i | − | 0.504613i | ||||||
\(819\) | −374.605 | − | 591.274i | −0.457393 | − | 0.721946i | ||||
\(820\) | 455.437 | 0.555411 | ||||||||
\(821\) | −195.919 | + | 113.114i | −0.238635 | + | 0.137776i | −0.614549 | − | 0.788879i | \(-0.710662\pi\) |
0.375914 | + | 0.926654i | \(0.377329\pi\) | |||||||
\(822\) | −11.1339 | − | 2.53198i | −0.0135449 | − | 0.00308027i | ||||
\(823\) | 108.159 | − | 187.337i | 0.131421 | − | 0.227627i | −0.792804 | − | 0.609477i | \(-0.791380\pi\) |
0.924224 | + | 0.381850i | \(0.124713\pi\) | |||||||
\(824\) | 47.6527 | − | 27.5123i | 0.0578309 | − | 0.0333887i | ||||
\(825\) | −148.579 | + | 45.9593i | −0.180096 | + | 0.0557083i | ||||
\(826\) | 605.525 | + | 378.665i | 0.733081 | + | 0.458432i | ||||
\(827\) | − | 282.652i | − | 0.341780i | −0.985290 | − | 0.170890i | \(-0.945336\pi\) | ||
0.985290 | − | 0.170890i | \(-0.0546643\pi\) | |||||||
\(828\) | 353.895 | − | 737.854i | 0.427409 | − | 0.891128i | ||||
\(829\) | 278.798 | − | 482.892i | 0.336306 | − | 0.582499i | −0.647429 | − | 0.762126i | \(-0.724156\pi\) |
0.983735 | + | 0.179627i | \(0.0574890\pi\) | |||||||
\(830\) | 5.25377 | + | 3.03326i | 0.00632984 | + | 0.00365453i | ||||
\(831\) | −982.020 | + | 1060.05i | −1.18173 | + | 1.27563i | ||||
\(832\) | 755.744 | 0.908347 | ||||||||
\(833\) | −44.9690 | + | 636.759i | −0.0539844 | + | 0.764416i | ||||
\(834\) | 349.936 | − | 108.244i | 0.419588 | − | 0.129789i | ||||
\(835\) | 114.969 | + | 199.131i | 0.137687 | + | 0.238481i | ||||
\(836\) | −598.567 | − | 345.583i | −0.715990 | − | 0.413377i | ||||
\(837\) | −983.686 | + | 388.765i | −1.17525 | + | 0.464475i | ||||
\(838\) | −762.520 | − | 1320.72i | −0.909929 | − | 1.57604i | ||||
\(839\) | − | 349.783i | − | 0.416905i | −0.978033 | − | 0.208452i | \(-0.933157\pi\) | ||
0.978033 | − | 0.208452i | \(-0.0668426\pi\) | |||||||
\(840\) | 4.37889 | − | 16.5365i | 0.00521297 | − | 0.0196863i | ||||
\(841\) | 430.343 | 0.511704 | ||||||||
\(842\) | −776.332 | + | 448.215i | −0.922009 | + | 0.532322i | ||||
\(843\) | −146.044 | + | 642.201i | −0.173243 | + | 0.761804i | ||||
\(844\) | 161.458 | − | 279.653i | 0.191301 | − | 0.331343i | ||||
\(845\) | 88.2265 | − | 50.9376i | 0.104410 | − | 0.0602812i | ||||
\(846\) | 1776.69 | − | 1215.45i | 2.10011 | − | 1.43670i | ||||
\(847\) | −3.33013 | + | 94.4263i | −0.00393168 | + | 0.111483i | ||||
\(848\) | 1399.96i | 1.65090i | ||||||||
\(849\) | 769.378 | − | 830.509i | 0.906217 | − | 0.978220i | ||||
\(850\) | −92.8507 | + | 160.822i | −0.109236 | + | 0.189202i | ||||
\(851\) | 614.754 | + | 354.928i | 0.722390 | + | 0.417072i | ||||
\(852\) | 417.647 | + | 386.905i | 0.490196 | + | 0.454114i | ||||
\(853\) | −1140.14 | −1.33662 | −0.668311 | − | 0.743882i | \(-0.732982\pi\) | ||||
−0.668311 | + | 0.743882i | \(0.732982\pi\) | |||||||
\(854\) | −56.5570 | − | 106.457i | −0.0662260 | − | 0.124657i | ||||
\(855\) | 183.504 | + | 268.238i | 0.214625 | + | 0.313729i | ||||
\(856\) | 8.63923 | + | 14.9636i | 0.0100926 | + | 0.0174808i | ||||
\(857\) | −163.544 | − | 94.4224i | −0.190834 | − | 0.110178i | 0.401539 | − | 0.915842i | \(-0.368475\pi\) |
−0.592373 | + | 0.805664i | \(0.701809\pi\) | |||||||
\(858\) | 960.715 | + | 218.477i | 1.11971 | + | 0.254636i | ||||
\(859\) | −173.395 | − | 300.328i | −0.201856 | − | 0.349626i | 0.747270 | − | 0.664520i | \(-0.231364\pi\) |
−0.949127 | + | 0.314895i | \(0.898031\pi\) | |||||||
\(860\) | 325.936i | 0.378996i | ||||||||
\(861\) | 730.551 | − | 734.858i | 0.848492 | − | 0.853493i | ||||
\(862\) | −476.984 | −0.553346 | ||||||||
\(863\) | −326.860 | + | 188.713i | −0.378749 | + | 0.218671i | −0.677274 | − | 0.735731i | \(-0.736839\pi\) |
0.298525 | + | 0.954402i | \(0.403505\pi\) | |||||||
\(864\) | 452.212 | + | 1144.22i | 0.523393 | + | 1.32433i | ||||
\(865\) | −123.668 | + | 214.200i | −0.142969 | + | 0.247630i | ||||
\(866\) | 758.411 | − | 437.869i | 0.875764 | − | 0.505622i | ||||
\(867\) | 105.751 | + | 341.875i | 0.121973 | + | 0.394320i | ||||
\(868\) | −39.8952 | + | 1131.24i | −0.0459623 | + | 1.30327i | ||||
\(869\) | 852.049i | 0.980494i | ||||||||
\(870\) | 284.305 | + | 263.379i | 0.326788 | + | 0.302734i | ||||
\(871\) | 638.524 | − | 1105.96i | 0.733093 | − | 1.26975i | ||||
\(872\) | −61.6726 | − | 35.6067i | −0.0707255 | − | 0.0408334i | ||||
\(873\) | 1162.08 | + | 557.366i | 1.33114 | + | 0.638449i | ||||
\(874\) | 1014.18 | 1.16039 | ||||||||
\(875\) | 41.4957 | − | 66.3559i | 0.0474236 | − | 0.0758353i | ||||
\(876\) | 119.120 | + | 385.095i | 0.135982 | + | 0.439606i | ||||
\(877\) | −275.160 | − | 476.591i | −0.313751 | − | 0.543433i | 0.665420 | − | 0.746469i | \(-0.268252\pi\) |
−0.979171 | + | 0.203036i | \(0.934919\pi\) | |||||||
\(878\) | −1390.59 | − | 802.859i | −1.58382 | − | 0.914418i | ||||
\(879\) | −67.4706 | + | 296.690i | −0.0767584 | + | 0.337531i | ||||
\(880\) | −179.360 | − | 310.660i | −0.203818 | − | 0.353023i | ||||
\(881\) | 713.163i | 0.809492i | 0.914429 | + | 0.404746i | \(0.132640\pi\) | ||||
−0.914429 | + | 0.404746i | \(0.867360\pi\) | |||||||
\(882\) | −635.018 | − | 1085.10i | −0.719975 | − | 1.23028i | ||||
\(883\) | −840.970 | −0.952401 | −0.476201 | − | 0.879337i | \(-0.657986\pi\) | ||||
−0.476201 | + | 0.879337i | \(0.657986\pi\) | |||||||
\(884\) | 517.410 | − | 298.727i | 0.585305 | − | 0.337926i | ||||
\(885\) | 234.087 | + | 53.2341i | 0.264506 | + | 0.0601516i | ||||
\(886\) | 452.815 | − | 784.299i | 0.511078 | − | 0.885213i | ||||
\(887\) | 1009.55 | − | 582.865i | 1.13816 | − | 0.657119i | 0.192189 | − | 0.981358i | \(-0.438441\pi\) |
0.945975 | + | 0.324238i | \(0.105108\pi\) | |||||||
\(888\) | 33.6460 | − | 10.4076i | 0.0378897 | − | 0.0117202i | ||||
\(889\) | 908.680 | + | 568.243i | 1.02214 | + | 0.639194i | ||||
\(890\) | 105.233i | 0.118239i | ||||||||
\(891\) | 127.798 | + | 830.054i | 0.143432 | + | 0.931598i | ||||
\(892\) | −623.405 | + | 1079.77i | −0.698884 | + | 1.21050i | ||||
\(893\) | 1173.37 | + | 677.447i | 1.31397 | + | 0.758619i | ||||
\(894\) | 1103.90 | − | 1191.61i | 1.23478 | − | 1.33289i | ||||
\(895\) | 158.553 | 0.177154 | ||||||||
\(896\) | 81.5101 | + | 2.87462i | 0.0909711 | + | 0.00320828i | ||||
\(897\) | −701.420 | + | 216.967i | −0.781962 | + | 0.241881i | ||||
\(898\) | 490.076 | + | 848.837i | 0.545742 | + | 0.945253i | ||||
\(899\) | −687.509 | − | 396.933i | −0.764748 | − | 0.441528i | ||||
\(900\) | −14.1742 | − | 185.209i | −0.0157491 | − | 0.205787i | ||||
\(901\) | 589.364 | + | 1020.81i | 0.654122 | + | 1.13297i | ||||
\(902\) | 1458.55i | 1.61702i | ||||||||
\(903\) | 525.906 | + | 522.824i | 0.582398 | + | 0.578986i | ||||
\(904\) | −36.4767 | −0.0403503 | ||||||||
\(905\) | −385.786 | + | 222.734i | −0.426283 | + | 0.246115i | ||||
\(906\) | −176.610 | + | 776.610i | −0.194934 | + | 0.857185i | ||||
\(907\) | 105.132 | − | 182.094i | 0.115912 | − | 0.200765i | −0.802232 | − | 0.597012i | \(-0.796354\pi\) |
0.918144 | + | 0.396247i | \(0.129688\pi\) | |||||||
\(908\) | 1149.61 | − | 663.725i | 1.26609 | − | 0.730975i | ||||
\(909\) | −487.568 | − | 712.705i | −0.536378 | − | 0.784054i | ||||
\(910\) | −437.836 | + | 232.608i | −0.481139 | + | 0.255613i | ||||
\(911\) | 397.802i | 0.436665i | 0.975874 | + | 0.218332i | \(0.0700617\pi\) | ||||
−0.975874 | + | 0.218332i | \(0.929938\pi\) | |||||||
\(912\) | −509.435 | + | 549.912i | −0.558591 | + | 0.602974i | ||||
\(913\) | −4.93341 | + | 8.54492i | −0.00540352 | + | 0.00935917i | ||||
\(914\) | 1175.62 | + | 678.745i | 1.28624 | + | 0.742610i | ||||
\(915\) | −29.7259 | − | 27.5379i | −0.0324873 | − | 0.0300960i | ||||
\(916\) | −852.657 | −0.930848 | ||||||||
\(917\) | −998.182 | − | 35.2029i | −1.08853 | − | 0.0383892i | ||||
\(918\) | 785.492 | + | 623.365i | 0.855656 | + | 0.679047i | ||||
\(919\) | 31.2114 | + | 54.0598i | 0.0339624 | + | 0.0588246i | 0.882507 | − | 0.470299i | \(-0.155854\pi\) |
−0.848545 | + | 0.529124i | \(0.822521\pi\) | |||||||
\(920\) | −15.5397 | − | 8.97184i | −0.0168910 | − | 0.00975200i | ||||
\(921\) | −1225.57 | − | 278.707i | −1.33069 | − | 0.302614i | ||||
\(922\) | −196.556 | − | 340.445i | −0.213184 | − | 0.369246i | ||||
\(923\) | − | 510.794i | − | 0.553407i | ||||||
\(924\) | 868.817 | + | 230.065i | 0.940278 | + | 0.248988i | ||||
\(925\) | 161.127 | 0.174192 | ||||||||
\(926\) | 1077.02 | − | 621.818i | 1.16309 | − | 0.671509i | ||||
\(927\) | −103.732 | − | 1355.43i | −0.111901 | − | 1.46216i | ||||
\(928\) | −461.713 | + | 799.711i | −0.497536 | + | 0.861757i | ||||
\(929\) | 462.918 | − | 267.266i | 0.498298 | − | 0.287692i | −0.229713 | − | 0.973258i | \(-0.573779\pi\) |
0.728010 | + | 0.685566i | \(0.240445\pi\) | |||||||
\(930\) | 221.398 | + | 715.744i | 0.238063 | + | 0.769618i | ||||
\(931\) | 442.955 | − | 655.730i | 0.475784 | − | 0.704328i | ||||
\(932\) | 944.297i | 1.01319i | ||||||||
\(933\) | 559.862 | + | 518.652i | 0.600066 | + | 0.555897i | ||||
\(934\) | −109.691 | + | 189.991i | −0.117442 | + | 0.203416i | ||||
\(935\) | −261.567 | − | 151.016i | −0.279751 | − | 0.161514i | ||||
\(936\) | −15.7532 | + | 32.8447i | −0.0168304 | + | 0.0350905i | ||||
\(937\) | 636.881 | 0.679702 | 0.339851 | − | 0.940479i | \(-0.389623\pi\) | ||||
0.339851 | + | 0.940479i | \(0.389623\pi\) | |||||||
\(938\) | 1216.22 | − | 1944.87i | 1.29661 | − | 2.07342i | ||||
\(939\) | −231.292 | − | 747.730i | −0.246317 | − | 0.796305i | ||||
\(940\) | −387.186 | − | 670.626i | −0.411900 | − | 0.713432i | ||||
\(941\) | 200.454 | + | 115.732i | 0.213022 | + | 0.122988i | 0.602715 | − | 0.797956i | \(-0.294086\pi\) |
−0.389693 | + | 0.920945i | \(0.627419\pi\) | |||||||
\(942\) | −126.691 | + | 557.102i | −0.134492 | + | 0.591404i | ||||
\(943\) | −543.460 | − | 941.301i | −0.576310 | − | 0.998198i | ||||
\(944\) | 553.711i | 0.586558i | ||||||||
\(945\) | −321.575 | − | 274.217i | −0.340291 | − | 0.290176i | ||||
\(946\) | −1043.82 | −1.10340 | ||||||||
\(947\) | −747.901 | + | 431.801i | −0.789758 | + | 0.455967i | −0.839877 | − | 0.542776i | \(-0.817373\pi\) |
0.0501195 | + | 0.998743i | \(0.484040\pi\) | |||||||
\(948\) | −992.304 | − | 225.661i | −1.04673 | − | 0.238039i | ||||
\(949\) | 180.830 | − | 313.207i | 0.190548 | − | 0.330039i | ||||
\(950\) | 199.363 | − | 115.102i | 0.209855 | − | 0.121160i | ||||
\(951\) | 1153.10 | − | 356.684i | 1.21252 | − | 0.375062i | ||||
\(952\) | 29.3378 | − | 15.5862i | 0.0308170 | − | 0.0163720i | ||||
\(953\) | − | 3.32904i | − | 0.00349322i | −0.999998 | − | 0.00174661i | \(-0.999444\pi\) | ||
0.999998 | − | 0.00174661i | \(-0.000555964\pi\) | |||||||
\(954\) | −2093.26 | − | 1003.98i | −2.19419 | − | 1.05239i | ||||
\(955\) | −219.707 | + | 380.544i | −0.230060 | + | 0.398476i | ||||
\(956\) | 589.140 | + | 340.140i | 0.616256 | + | 0.355795i | ||||
\(957\) | −428.369 | + | 462.405i | −0.447617 | + | 0.483182i | ||||
\(958\) | 1226.78 | 1.28056 | ||||||||
\(959\) | 4.38445 | + | 8.25283i | 0.00457190 | + | 0.00860566i | ||||
\(960\) | 435.924 | − | 134.843i | 0.454088 | − | 0.140461i | ||||
\(961\) | −286.837 | − | 496.816i | −0.298478 | − | 0.516978i | ||||
\(962\) | −883.984 | − | 510.368i | −0.918902 | − | 0.530528i | ||||
\(963\) | 425.622 | − | 32.5733i | 0.441975 | − | 0.0338248i | ||||
\(964\) | 490.208 | + | 849.065i | 0.508514 | + | 0.880772i | ||||
\(965\) | 542.655i | 0.562336i | ||||||||
\(966\) | −1272.85 | + | 345.071i | −1.31765 | + | 0.357216i | ||||
\(967\) | −970.409 | −1.00353 | −0.501763 | − | 0.865005i | \(-0.667315\pi\) | ||||
−0.501763 | + | 0.865005i | \(0.667315\pi\) | |||||||
\(968\) | 4.25844 | − | 2.45861i | 0.00439922 | − | 0.00253989i | ||||
\(969\) | −139.959 | + | 615.444i | −0.144436 | + | 0.635133i | ||||
\(970\) | 456.452 | − | 790.599i | 0.470569 | − | 0.815050i | ||||
\(971\) | −645.271 | + | 372.548i | −0.664543 | + | 0.383674i | −0.794006 | − | 0.607910i | \(-0.792008\pi\) |
0.129463 | + | 0.991584i | \(0.458675\pi\) | |||||||
\(972\) | −1000.53 | − | 71.0010i | −1.02936 | − | 0.0730463i | ||||
\(973\) | −254.184 | − | 158.954i | −0.261238 | − | 0.163365i | ||||
\(974\) | − | 2606.16i | − | 2.67572i | ||||||
\(975\) | −113.258 | + | 122.257i | −0.116162 | + | 0.125391i | ||||
\(976\) | 46.7312 | − | 80.9408i | 0.0478803 | − | 0.0829312i | ||||
\(977\) | 636.338 | + | 367.390i | 0.651318 | + | 0.376039i | 0.788961 | − | 0.614443i | \(-0.210619\pi\) |
−0.137643 | + | 0.990482i | \(0.543953\pi\) | |||||||
\(978\) | −364.733 | − | 337.887i | −0.372938 | − | 0.345487i | ||||
\(979\) | −171.155 | −0.174826 | ||||||||
\(980\) | −406.635 | + | 197.981i | −0.414933 | + | 0.202021i | ||||
\(981\) | −1452.06 | + | 993.369i | −1.48019 | + | 1.01261i | ||||
\(982\) | −953.347 | − | 1651.25i | −0.970822 | − | 1.68151i | ||||
\(983\) | −1426.91 | − | 823.828i | −1.45159 | − | 0.838075i | −0.453017 | − | 0.891502i | \(-0.649652\pi\) |
−0.998572 | + | 0.0534271i | \(0.982986\pi\) | |||||||
\(984\) | −52.5840 | − | 11.9582i | −0.0534390 | − | 0.0121526i | ||||
\(985\) | 149.233 | + | 258.479i | 0.151506 | + | 0.262415i | ||||
\(986\) | 752.636i | 0.763322i | ||||||||
\(987\) | −1703.14 | − | 450.995i | −1.72557 | − | 0.456936i | ||||
\(988\) | −740.631 | −0.749627 | ||||||||
\(989\) | 673.648 | − | 388.931i | 0.681140 | − | 0.393257i | ||||
\(990\) | 593.136 | − | 45.3932i | 0.599127 | − | 0.0458517i | ||||
\(991\) | −715.404 | + | 1239.12i | −0.721901 | + | 1.25037i | 0.238336 | + | 0.971183i | \(0.423398\pi\) |
−0.960237 | + | 0.279187i | \(0.909935\pi\) | |||||||
\(992\) | −1545.97 | + | 892.567i | −1.55844 | + | 0.899765i | ||||
\(993\) | −317.441 | − | 1026.24i | −0.319679 | − | 1.03347i | ||||
\(994\) | 32.3371 | − | 916.922i | 0.0325323 | − | 0.922457i | ||||
\(995\) | − | 211.141i | − | 0.212202i | ||||||
\(996\) | −8.64491 | − | 8.00858i | −0.00867962 | − | 0.00804075i | ||||
\(997\) | −457.985 | + | 793.254i | −0.459363 | + | 0.795641i | −0.998927 | − | 0.0463038i | \(-0.985256\pi\) |
0.539564 | + | 0.841945i | \(0.318589\pi\) | |||||||
\(998\) | −1063.25 | − | 613.866i | −1.06538 | − | 0.615096i | ||||
\(999\) | 127.638 | − | 860.676i | 0.127765 | − | 0.861537i |
(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 | 105.3.t.b.11.4 | ✓ | 36 | |
3.2 | odd | 2 | inner | 105.3.t.b.11.15 | yes | 36 | |
7.2 | even | 3 | inner | 105.3.t.b.86.15 | yes | 36 | |
21.2 | odd | 6 | inner | 105.3.t.b.86.4 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.t.b.11.4 | ✓ | 36 | 1.1 | even | 1 | trivial | |
105.3.t.b.11.15 | yes | 36 | 3.2 | odd | 2 | inner | |
105.3.t.b.86.4 | yes | 36 | 21.2 | odd | 6 | inner | |
105.3.t.b.86.15 | yes | 36 | 7.2 | even | 3 | inner |