Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,3,Mod(2,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (of order \(28\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.790192766645\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Character | \(\chi\) | \(=\) | 29.11 |
Dual form | 29.3.f.a.8.4 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{25}{28}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.65381 | − | 0.578694i | 0.826906 | − | 0.289347i | 0.116546 | − | 0.993185i | \(-0.462818\pi\) |
0.710360 | + | 0.703838i | \(0.248532\pi\) | |||||||
\(3\) | −0.186386 | − | 1.65422i | −0.0621286 | − | 0.551406i | −0.985764 | − | 0.168134i | \(-0.946226\pi\) |
0.923635 | − | 0.383272i | \(-0.125203\pi\) | |||||||
\(4\) | −0.727117 | + | 0.579856i | −0.181779 | + | 0.144964i | ||||
\(5\) | −0.825315 | + | 1.71379i | −0.165063 | + | 0.342757i | −0.967051 | − | 0.254583i | \(-0.918062\pi\) |
0.801988 | + | 0.597341i | \(0.203776\pi\) | |||||||
\(6\) | −1.26553 | − | 2.62791i | −0.210922 | − | 0.437985i | ||||
\(7\) | −1.24782 | + | 1.56472i | −0.178260 | + | 0.223531i | −0.862932 | − | 0.505320i | \(-0.831374\pi\) |
0.684671 | + | 0.728852i | \(0.259946\pi\) | |||||||
\(8\) | −4.59573 | + | 7.31406i | −0.574466 | + | 0.914257i | ||||
\(9\) | 6.07265 | − | 1.38604i | 0.674739 | − | 0.154005i | ||||
\(10\) | −0.373160 | + | 3.31188i | −0.0373160 | + | 0.331188i | ||||
\(11\) | −6.63034 | − | 10.5521i | −0.602758 | − | 0.959284i | −0.999151 | − | 0.0412032i | \(-0.986881\pi\) |
0.396392 | − | 0.918081i | \(-0.370262\pi\) | |||||||
\(12\) | 1.09473 | + | 1.09473i | 0.0912278 | + | 0.0912278i | ||||
\(13\) | −3.80625 | − | 0.868753i | −0.292789 | − | 0.0668271i | 0.0736036 | − | 0.997288i | \(-0.476550\pi\) |
−0.366392 | + | 0.930460i | \(0.619407\pi\) | |||||||
\(14\) | −1.15817 | + | 3.30986i | −0.0827265 | + | 0.236419i | ||||
\(15\) | 2.98880 | + | 1.04583i | 0.199254 | + | 0.0697218i | ||||
\(16\) | −2.54008 | + | 11.1288i | −0.158755 | + | 0.695550i | ||||
\(17\) | 7.59392 | − | 7.59392i | 0.446701 | − | 0.446701i | −0.447555 | − | 0.894256i | \(-0.647705\pi\) |
0.894256 | + | 0.447555i | \(0.147705\pi\) | |||||||
\(18\) | 9.24093 | − | 5.80646i | 0.513385 | − | 0.322581i | ||||
\(19\) | −0.137534 | − | 0.0154964i | −0.00723865 | − | 0.000815600i | 0.108344 | − | 0.994113i | \(-0.465445\pi\) |
−0.115583 | + | 0.993298i | \(0.536874\pi\) | |||||||
\(20\) | −0.393648 | − | 1.72469i | −0.0196824 | − | 0.0862343i | ||||
\(21\) | 2.82097 | + | 1.77253i | 0.134332 | + | 0.0844062i | ||||
\(22\) | −17.0718 | − | 13.6143i | −0.775991 | − | 0.618832i | ||||
\(23\) | 26.7367 | − | 12.8757i | 1.16247 | − | 0.559814i | 0.249710 | − | 0.968321i | \(-0.419665\pi\) |
0.912755 | + | 0.408507i | \(0.133950\pi\) | |||||||
\(24\) | 12.9556 | + | 6.23910i | 0.539818 | + | 0.259963i | ||||
\(25\) | 13.3313 | + | 16.7170i | 0.533253 | + | 0.668678i | ||||
\(26\) | −6.79757 | + | 0.765903i | −0.261445 | + | 0.0294578i | ||||
\(27\) | −8.37297 | − | 23.9286i | −0.310110 | − | 0.886244i | ||||
\(28\) | − | 1.86129i | − | 0.0664747i | ||||||
\(29\) | 8.15475 | + | 27.8298i | 0.281198 | + | 0.959650i | ||||
\(30\) | 5.54814 | 0.184938 | ||||||||
\(31\) | −54.1874 | + | 18.9610i | −1.74798 | + | 0.611645i | −0.998718 | − | 0.0506263i | \(-0.983878\pi\) |
−0.749264 | + | 0.662272i | \(0.769593\pi\) | |||||||
\(32\) | −1.62926 | − | 14.4601i | −0.0509145 | − | 0.451879i | ||||
\(33\) | −16.2197 | + | 12.9348i | −0.491507 | + | 0.391964i | ||||
\(34\) | 8.16437 | − | 16.9535i | 0.240128 | − | 0.498632i | ||||
\(35\) | −1.65175 | − | 3.42989i | −0.0471928 | − | 0.0979968i | ||||
\(36\) | −3.61182 | + | 4.52908i | −0.100328 | + | 0.125808i | ||||
\(37\) | −29.9166 | + | 47.6121i | −0.808558 | + | 1.28681i | 0.146149 | + | 0.989263i | \(0.453312\pi\) |
−0.954706 | + | 0.297550i | \(0.903831\pi\) | |||||||
\(38\) | −0.236424 | + | 0.0539622i | −0.00622167 | + | 0.00142006i | ||||
\(39\) | −0.727676 | + | 6.45830i | −0.0186584 | + | 0.165597i | ||||
\(40\) | −8.74180 | − | 13.9125i | −0.218545 | − | 0.347812i | ||||
\(41\) | −25.9162 | − | 25.9162i | −0.632101 | − | 0.632101i | 0.316493 | − | 0.948595i | \(-0.397494\pi\) |
−0.948595 | + | 0.316493i | \(0.897494\pi\) | |||||||
\(42\) | 5.69110 | + | 1.29896i | 0.135502 | + | 0.0309276i | ||||
\(43\) | 5.16003 | − | 14.7465i | 0.120001 | − | 0.342943i | −0.868177 | − | 0.496255i | \(-0.834708\pi\) |
0.988178 | + | 0.153312i | \(0.0489940\pi\) | |||||||
\(44\) | 10.9397 | + | 3.82798i | 0.248631 | + | 0.0869996i | ||||
\(45\) | −2.63647 | + | 11.5511i | −0.0585883 | + | 0.256692i | ||||
\(46\) | 36.7664 | − | 36.7664i | 0.799270 | − | 0.799270i | ||||
\(47\) | 55.9924 | − | 35.1824i | 1.19133 | − | 0.748561i | 0.217547 | − | 0.976050i | \(-0.430194\pi\) |
0.973781 | + | 0.227489i | \(0.0730516\pi\) | |||||||
\(48\) | 18.8829 | + | 2.12759i | 0.393394 | + | 0.0443249i | ||||
\(49\) | 10.0122 | + | 43.8665i | 0.204331 | + | 0.895234i | ||||
\(50\) | 31.7215 | + | 19.9320i | 0.634431 | + | 0.398639i | ||||
\(51\) | −13.9774 | − | 11.1466i | −0.274067 | − | 0.218561i | ||||
\(52\) | 3.27134 | − | 1.57540i | 0.0629104 | − | 0.0302961i | ||||
\(53\) | 29.3541 | + | 14.1362i | 0.553851 | + | 0.266720i | 0.689806 | − | 0.723995i | \(-0.257696\pi\) |
−0.135955 | + | 0.990715i | \(0.543410\pi\) | |||||||
\(54\) | −27.6947 | − | 34.7280i | −0.512864 | − | 0.643111i | ||||
\(55\) | 23.5562 | − | 2.65415i | 0.428295 | − | 0.0482572i | ||||
\(56\) | −5.70980 | − | 16.3177i | −0.101961 | − | 0.291387i | ||||
\(57\) | 0.230400i | 0.00404211i | ||||||||
\(58\) | 29.5914 | + | 41.3062i | 0.510196 | + | 0.712176i | ||||
\(59\) | 0.396318 | 0.00671725 | 0.00335862 | − | 0.999994i | \(-0.498931\pi\) | ||||
0.00335862 | + | 0.999994i | \(0.498931\pi\) | |||||||
\(60\) | −2.77964 | + | 0.972637i | −0.0463273 | + | 0.0162106i | ||||
\(61\) | −6.99907 | − | 62.1184i | −0.114739 | − | 1.01834i | −0.910723 | − | 0.413018i | \(-0.864475\pi\) |
0.795984 | − | 0.605317i | \(-0.206954\pi\) | |||||||
\(62\) | −78.6432 | + | 62.7159i | −1.26844 | + | 1.01155i | ||||
\(63\) | −5.40882 | + | 11.2315i | −0.0858543 | + | 0.178278i | ||||
\(64\) | −30.8736 | − | 64.1097i | −0.482400 | − | 1.00171i | ||||
\(65\) | 4.63022 | − | 5.80611i | 0.0712341 | − | 0.0893247i | ||||
\(66\) | −19.3391 | + | 30.7780i | −0.293017 | + | 0.466333i | ||||
\(67\) | −21.7870 | + | 4.97273i | −0.325179 | + | 0.0742199i | −0.381994 | − | 0.924165i | \(-0.624763\pi\) |
0.0568153 | + | 0.998385i | \(0.481905\pi\) | |||||||
\(68\) | −1.11828 | + | 9.92505i | −0.0164454 | + | 0.145957i | ||||
\(69\) | −26.2826 | − | 41.8285i | −0.380907 | − | 0.606211i | ||||
\(70\) | −4.71654 | − | 4.71654i | −0.0673791 | − | 0.0673791i | ||||
\(71\) | −64.8290 | − | 14.7968i | −0.913085 | − | 0.208406i | −0.259928 | − | 0.965628i | \(-0.583699\pi\) |
−0.653157 | + | 0.757222i | \(0.726556\pi\) | |||||||
\(72\) | −17.7706 | + | 50.7856i | −0.246814 | + | 0.705355i | ||||
\(73\) | 76.3640 | + | 26.7209i | 1.04608 | + | 0.366040i | 0.797974 | − | 0.602692i | \(-0.205905\pi\) |
0.248108 | + | 0.968732i | \(0.420191\pi\) | |||||||
\(74\) | −21.9237 | + | 96.0540i | −0.296266 | + | 1.29803i | ||||
\(75\) | 25.1687 | − | 25.1687i | 0.335583 | − | 0.335583i | ||||
\(76\) | 0.108989 | − | 0.0684824i | 0.00143407 | − | 0.000901084i | ||||
\(77\) | 24.7846 | + | 2.79256i | 0.321878 | + | 0.0362670i | ||||
\(78\) | 2.53394 | + | 11.1019i | 0.0324864 | + | 0.142332i | ||||
\(79\) | 67.7630 | + | 42.5783i | 0.857759 | + | 0.538966i | 0.887614 | − | 0.460588i | \(-0.152362\pi\) |
−0.0298547 | + | 0.999554i | \(0.509504\pi\) | |||||||
\(80\) | −16.9760 | − | 13.5379i | −0.212200 | − | 0.169224i | ||||
\(81\) | 12.4852 | − | 6.01257i | 0.154139 | − | 0.0742292i | ||||
\(82\) | −57.8580 | − | 27.8629i | −0.705585 | − | 0.339792i | ||||
\(83\) | −68.4247 | − | 85.8019i | −0.824394 | − | 1.03376i | −0.998795 | − | 0.0490825i | \(-0.984370\pi\) |
0.174401 | − | 0.984675i | \(-0.444201\pi\) | |||||||
\(84\) | −3.07898 | + | 0.346918i | −0.0366546 | + | 0.00412998i | ||||
\(85\) | 6.74697 | + | 19.2817i | 0.0793761 | + | 0.226844i | ||||
\(86\) | − | 27.3741i | − | 0.318303i | ||||||
\(87\) | 44.5167 | − | 18.6768i | 0.511687 | − | 0.214676i | ||||
\(88\) | 107.650 | 1.22330 | ||||||||
\(89\) | −77.7390 | + | 27.2021i | −0.873472 | + | 0.305641i | −0.729533 | − | 0.683945i | \(-0.760263\pi\) |
−0.143939 | + | 0.989587i | \(0.545977\pi\) | |||||||
\(90\) | 2.32434 | + | 20.6291i | 0.0258261 | + | 0.229213i | ||||
\(91\) | 6.10889 | − | 4.87167i | 0.0671306 | − | 0.0535349i | ||||
\(92\) | −11.9746 | + | 24.8656i | −0.130159 | + | 0.270278i | ||||
\(93\) | 41.4654 | + | 86.1038i | 0.445865 | + | 0.925848i | ||||
\(94\) | 72.2411 | − | 90.5875i | 0.768522 | − | 0.963697i | ||||
\(95\) | 0.140067 | − | 0.222915i | 0.00147439 | − | 0.00234647i | ||||
\(96\) | −23.6165 | + | 5.39032i | −0.246006 | + | 0.0561492i | ||||
\(97\) | 19.5392 | − | 173.415i | 0.201435 | − | 1.78778i | −0.333359 | − | 0.942800i | \(-0.608182\pi\) |
0.534794 | − | 0.844983i | \(-0.320389\pi\) | |||||||
\(98\) | 41.9436 | + | 66.7529i | 0.427996 | + | 0.681152i | ||||
\(99\) | −54.8894 | − | 54.8894i | −0.554439 | − | 0.554439i | ||||
\(100\) | −19.3869 | − | 4.42492i | −0.193869 | − | 0.0442492i | ||||
\(101\) | −1.74084 | + | 4.97504i | −0.0172360 | + | 0.0492578i | −0.952180 | − | 0.305538i | \(-0.901164\pi\) |
0.934944 | + | 0.354795i | \(0.115450\pi\) | |||||||
\(102\) | −29.5665 | − | 10.3458i | −0.289868 | − | 0.101429i | ||||
\(103\) | −15.5109 | + | 67.9577i | −0.150591 | + | 0.659783i | 0.842123 | + | 0.539286i | \(0.181306\pi\) |
−0.992714 | + | 0.120497i | \(0.961551\pi\) | |||||||
\(104\) | 23.8466 | − | 23.8466i | 0.229294 | − | 0.229294i | ||||
\(105\) | −5.36593 | + | 3.37163i | −0.0511040 | + | 0.0321108i | ||||
\(106\) | 56.7267 | + | 6.39156i | 0.535157 | + | 0.0602977i | ||||
\(107\) | 18.2372 | + | 79.9024i | 0.170441 | + | 0.746751i | 0.985818 | + | 0.167820i | \(0.0536728\pi\) |
−0.815377 | + | 0.578931i | \(0.803470\pi\) | |||||||
\(108\) | 19.9633 | + | 12.5437i | 0.184845 | + | 0.116146i | ||||
\(109\) | −78.0488 | − | 62.2418i | −0.716044 | − | 0.571026i | 0.196254 | − | 0.980553i | \(-0.437122\pi\) |
−0.912298 | + | 0.409527i | \(0.865694\pi\) | |||||||
\(110\) | 37.4216 | − | 18.0213i | 0.340196 | − | 0.163830i | ||||
\(111\) | 84.3368 | + | 40.6145i | 0.759791 | + | 0.365896i | ||||
\(112\) | −14.2439 | − | 17.8613i | −0.127178 | − | 0.159476i | ||||
\(113\) | 53.9781 | − | 6.08187i | 0.477683 | − | 0.0538219i | 0.130159 | − | 0.991493i | \(-0.458451\pi\) |
0.347524 | + | 0.937671i | \(0.387023\pi\) | |||||||
\(114\) | 0.133331 | + | 0.381039i | 0.00116957 | + | 0.00334245i | ||||
\(115\) | 56.4475i | 0.490848i | ||||||||
\(116\) | −22.0668 | − | 15.5070i | −0.190231 | − | 0.133681i | ||||
\(117\) | −24.3182 | −0.207848 | ||||||||
\(118\) | 0.655435 | − | 0.229347i | 0.00555453 | − | 0.00194362i | ||||
\(119\) | 2.40649 | + | 21.3582i | 0.0202226 | + | 0.179481i | ||||
\(120\) | −21.3850 | + | 17.0539i | −0.178208 | + | 0.142116i | ||||
\(121\) | −14.8860 | + | 30.9112i | −0.123025 | + | 0.255464i | ||||
\(122\) | −47.5227 | − | 98.6819i | −0.389530 | − | 0.808868i | ||||
\(123\) | −38.0406 | + | 47.7014i | −0.309273 | + | 0.387816i | ||||
\(124\) | 28.4059 | − | 45.2078i | 0.229080 | − | 0.364579i | ||||
\(125\) | −86.0135 | + | 19.6320i | −0.688108 | + | 0.157056i | ||||
\(126\) | −2.44556 | + | 21.7049i | −0.0194092 | + | 0.172261i | ||||
\(127\) | 47.8514 | + | 76.1551i | 0.376783 | + | 0.599646i | 0.980255 | − | 0.197738i | \(-0.0633594\pi\) |
−0.603472 | + | 0.797384i | \(0.706217\pi\) | |||||||
\(128\) | −47.0009 | − | 47.0009i | −0.367195 | − | 0.367195i | ||||
\(129\) | −25.3557 | − | 5.78728i | −0.196556 | − | 0.0448627i | ||||
\(130\) | 4.29755 | − | 12.2817i | 0.0330581 | − | 0.0944746i | ||||
\(131\) | −129.814 | − | 45.4240i | −0.990949 | − | 0.346748i | −0.214359 | − | 0.976755i | \(-0.568766\pi\) |
−0.776590 | + | 0.630007i | \(0.783052\pi\) | |||||||
\(132\) | 4.29331 | − | 18.8102i | 0.0325251 | − | 0.142502i | ||||
\(133\) | 0.195866 | − | 0.195866i | 0.00147268 | − | 0.00147268i | ||||
\(134\) | −33.1539 | + | 20.8320i | −0.247417 | + | 0.155462i | ||||
\(135\) | 47.9188 | + | 5.39915i | 0.354954 | + | 0.0399937i | ||||
\(136\) | 20.6428 | + | 90.4420i | 0.151785 | + | 0.665015i | ||||
\(137\) | 100.340 | + | 63.0480i | 0.732411 | + | 0.460204i | 0.845904 | − | 0.533335i | \(-0.179061\pi\) |
−0.113494 | + | 0.993539i | \(0.536204\pi\) | |||||||
\(138\) | −67.6724 | − | 53.9670i | −0.490380 | − | 0.391065i | ||||
\(139\) | −198.977 | + | 95.8224i | −1.43149 | + | 0.689370i | −0.979274 | − | 0.202538i | \(-0.935081\pi\) |
−0.452217 | + | 0.891908i | \(0.649367\pi\) | |||||||
\(140\) | 3.18985 | + | 1.53615i | 0.0227847 | + | 0.0109725i | ||||
\(141\) | −68.6355 | − | 86.0662i | −0.486777 | − | 0.610399i | ||||
\(142\) | −115.778 | + | 13.0450i | −0.815337 | + | 0.0918665i | ||||
\(143\) | 16.0696 | + | 45.9242i | 0.112375 | + | 0.321148i | ||||
\(144\) | 71.1020i | 0.493764i | ||||||||
\(145\) | −54.4246 | − | 8.99291i | −0.375342 | − | 0.0620200i | ||||
\(146\) | 141.755 | 0.970924 | ||||||||
\(147\) | 70.6986 | − | 24.7385i | 0.480943 | − | 0.168289i | ||||
\(148\) | −5.85526 | − | 51.9669i | −0.0395626 | − | 0.351127i | ||||
\(149\) | 195.444 | − | 155.861i | 1.31170 | − | 1.04605i | 0.316462 | − | 0.948605i | \(-0.397505\pi\) |
0.995241 | − | 0.0974435i | \(-0.0310665\pi\) | |||||||
\(150\) | 27.0594 | − | 56.1894i | 0.180396 | − | 0.374596i | ||||
\(151\) | 81.6119 | + | 169.469i | 0.540476 | + | 1.12231i | 0.975114 | + | 0.221705i | \(0.0711622\pi\) |
−0.434638 | + | 0.900605i | \(0.643124\pi\) | |||||||
\(152\) | 0.745412 | − | 0.934717i | 0.00490402 | − | 0.00614945i | ||||
\(153\) | 35.5897 | − | 56.6407i | 0.232613 | − | 0.370201i | ||||
\(154\) | 42.6052 | − | 9.72435i | 0.276657 | − | 0.0631451i | ||||
\(155\) | 12.2266 | − | 108.514i | 0.0788815 | − | 0.700093i | ||||
\(156\) | −3.21578 | − | 5.11789i | −0.0206140 | − | 0.0328070i | ||||
\(157\) | 25.4802 | + | 25.4802i | 0.162294 | + | 0.162294i | 0.783582 | − | 0.621288i | \(-0.213390\pi\) |
−0.621288 | + | 0.783582i | \(0.713390\pi\) | |||||||
\(158\) | 136.707 | + | 31.2025i | 0.865235 | + | 0.197484i | ||||
\(159\) | 17.9132 | − | 51.1929i | 0.112661 | − | 0.321968i | ||||
\(160\) | 26.1262 | + | 9.14195i | 0.163289 | + | 0.0571372i | ||||
\(161\) | −13.2158 | + | 57.9021i | −0.0820856 | + | 0.359640i | ||||
\(162\) | 17.1688 | − | 17.1688i | 0.105980 | − | 0.105980i | ||||
\(163\) | 132.376 | − | 83.1771i | 0.812120 | − | 0.510289i | −0.0608014 | − | 0.998150i | \(-0.519366\pi\) |
0.872921 | + | 0.487861i | \(0.162223\pi\) | |||||||
\(164\) | 33.8717 | + | 3.81642i | 0.206535 | + | 0.0232709i | ||||
\(165\) | −8.78108 | − | 38.4724i | −0.0532187 | − | 0.233166i | ||||
\(166\) | −162.815 | − | 102.303i | −0.980811 | − | 0.616284i | ||||
\(167\) | 159.364 | + | 127.089i | 0.954276 | + | 0.761010i | 0.971057 | − | 0.238849i | \(-0.0767701\pi\) |
−0.0167802 | + | 0.999859i | \(0.505342\pi\) | |||||||
\(168\) | −25.9288 | + | 12.4866i | −0.154338 | + | 0.0743253i | ||||
\(169\) | −138.531 | − | 66.7130i | −0.819709 | − | 0.394751i | ||||
\(170\) | 22.3164 | + | 27.9839i | 0.131273 | + | 0.164611i | ||||
\(171\) | −0.856676 | + | 0.0965242i | −0.00500980 | + | 0.000564469i | ||||
\(172\) | 4.79892 | + | 13.7145i | 0.0279007 | + | 0.0797356i | ||||
\(173\) | − | 108.217i | − | 0.625531i | −0.949830 | − | 0.312765i | \(-0.898745\pi\) | ||
0.949830 | − | 0.312765i | \(-0.101255\pi\) | |||||||
\(174\) | 62.8142 | − | 56.6495i | 0.361001 | − | 0.325572i | ||||
\(175\) | −42.7925 | −0.244529 | ||||||||
\(176\) | 134.274 | − | 46.9845i | 0.762921 | − | 0.266958i | ||||
\(177\) | −0.0738680 | − | 0.655596i | −0.000417333 | − | 0.00370393i | ||||
\(178\) | −112.824 | + | 89.9742i | −0.633843 | + | 0.505473i | ||||
\(179\) | −50.0799 | + | 103.992i | −0.279776 | + | 0.580961i | −0.992746 | − | 0.120234i | \(-0.961635\pi\) |
0.712970 | + | 0.701195i | \(0.247350\pi\) | |||||||
\(180\) | −4.78098 | − | 9.92780i | −0.0265610 | − | 0.0551544i | ||||
\(181\) | −59.6313 | + | 74.7753i | −0.329455 | + | 0.413123i | −0.918778 | − | 0.394774i | \(-0.870823\pi\) |
0.589324 | + | 0.807897i | \(0.299394\pi\) | |||||||
\(182\) | 7.28374 | − | 11.5920i | 0.0400206 | − | 0.0636924i | ||||
\(183\) | −101.453 | + | 23.1560i | −0.554388 | + | 0.126535i | ||||
\(184\) | −28.7009 | + | 254.727i | −0.155983 | + | 1.38439i | ||||
\(185\) | −56.9062 | − | 90.5657i | −0.307601 | − | 0.489544i | ||||
\(186\) | 118.404 | + | 118.404i | 0.636580 | + | 0.636580i | ||||
\(187\) | −130.482 | − | 29.7817i | −0.697766 | − | 0.159261i | ||||
\(188\) | −20.3123 | + | 58.0492i | −0.108044 | + | 0.308772i | ||||
\(189\) | 47.8895 | + | 16.7573i | 0.253384 | + | 0.0886628i | ||||
\(190\) | 0.102645 | − | 0.449715i | 0.000540234 | − | 0.00236692i | ||||
\(191\) | −42.1854 | + | 42.1854i | −0.220866 | + | 0.220866i | −0.808863 | − | 0.587997i | \(-0.799917\pi\) |
0.587997 | + | 0.808863i | \(0.299917\pi\) | |||||||
\(192\) | −100.297 | + | 63.0209i | −0.522381 | + | 0.328234i | ||||
\(193\) | −304.307 | − | 34.2872i | −1.57672 | − | 0.177654i | −0.720201 | − | 0.693766i | \(-0.755950\pi\) |
−0.856521 | + | 0.516112i | \(0.827379\pi\) | |||||||
\(194\) | −68.0401 | − | 298.103i | −0.350722 | − | 1.53661i | ||||
\(195\) | −10.4676 | − | 6.57722i | −0.0536799 | − | 0.0337293i | ||||
\(196\) | −32.7163 | − | 26.0904i | −0.166920 | − | 0.133114i | ||||
\(197\) | 66.4296 | − | 31.9908i | 0.337206 | − | 0.162390i | −0.257616 | − | 0.966247i | \(-0.582937\pi\) |
0.594822 | + | 0.803858i | \(0.297223\pi\) | |||||||
\(198\) | −122.541 | − | 59.0127i | −0.618894 | − | 0.298044i | ||||
\(199\) | 156.727 | + | 196.529i | 0.787571 | + | 0.987583i | 0.999946 | + | 0.0103945i | \(0.00330874\pi\) |
−0.212375 | + | 0.977188i | \(0.568120\pi\) | |||||||
\(200\) | −183.536 | + | 20.6795i | −0.917680 | + | 0.103398i | ||||
\(201\) | 12.2868 | + | 35.1136i | 0.0611282 | + | 0.174694i | ||||
\(202\) | 9.23519i | 0.0457188i | ||||||||
\(203\) | −53.7216 | − | 21.9668i | −0.264638 | − | 0.108211i | ||||
\(204\) | 16.6266 | 0.0815031 | ||||||||
\(205\) | 65.8037 | − | 23.0257i | 0.320994 | − | 0.112321i | ||||
\(206\) | 13.6746 | + | 121.365i | 0.0663815 | + | 0.589152i | ||||
\(207\) | 144.516 | − | 115.248i | 0.698147 | − | 0.556753i | ||||
\(208\) | 19.3364 | − | 40.1524i | 0.0929632 | − | 0.193040i | ||||
\(209\) | 0.748379 | + | 1.55403i | 0.00358076 | + | 0.00743553i | ||||
\(210\) | −6.92309 | + | 8.68128i | −0.0329671 | + | 0.0413394i | ||||
\(211\) | 98.3713 | − | 156.557i | 0.466215 | − | 0.741976i | −0.528017 | − | 0.849234i | \(-0.677064\pi\) |
0.994231 | + | 0.107258i | \(0.0342070\pi\) | |||||||
\(212\) | −29.5408 | + | 6.74249i | −0.139343 | + | 0.0318042i | ||||
\(213\) | −12.3940 | + | 109.999i | −0.0581876 | + | 0.516429i | ||||
\(214\) | 76.3999 | + | 121.590i | 0.357009 | + | 0.568177i | ||||
\(215\) | 21.0137 | + | 21.0137i | 0.0977383 | + | 0.0977383i | ||||
\(216\) | 213.495 | + | 48.7288i | 0.988402 | + | 0.225596i | ||||
\(217\) | 37.9476 | − | 108.448i | 0.174874 | − | 0.499761i | ||||
\(218\) | −165.097 | − | 57.7700i | −0.757326 | − | 0.265000i | ||||
\(219\) | 29.9691 | − | 131.303i | 0.136845 | − | 0.599558i | ||||
\(220\) | −15.5891 | + | 15.5891i | −0.0708595 | + | 0.0708595i | ||||
\(221\) | −35.5016 | + | 22.3072i | −0.160641 | + | 0.100937i | ||||
\(222\) | 162.981 | + | 18.3635i | 0.734147 | + | 0.0827185i | ||||
\(223\) | −15.1512 | − | 66.3816i | −0.0679425 | − | 0.297676i | 0.929528 | − | 0.368750i | \(-0.120214\pi\) |
−0.997471 | + | 0.0710748i | \(0.977357\pi\) | |||||||
\(224\) | 24.6591 | + | 15.4943i | 0.110085 | + | 0.0691711i | ||||
\(225\) | 104.127 | + | 83.0384i | 0.462786 | + | 0.369060i | ||||
\(226\) | 85.7502 | − | 41.2951i | 0.379426 | − | 0.182722i | ||||
\(227\) | 95.4082 | + | 45.9461i | 0.420300 | + | 0.202406i | 0.632066 | − | 0.774915i | \(-0.282207\pi\) |
−0.211766 | + | 0.977320i | \(0.567921\pi\) | |||||||
\(228\) | −0.133599 | − | 0.167528i | −0.000585960 | − | 0.000734771i | ||||
\(229\) | 316.964 | − | 35.7133i | 1.38412 | − | 0.155953i | 0.611714 | − | 0.791079i | \(-0.290480\pi\) |
0.772408 | + | 0.635126i | \(0.219052\pi\) | |||||||
\(230\) | 32.6658 | + | 93.3536i | 0.142025 | + | 0.405885i | ||||
\(231\) | − | 41.5197i | − | 0.179739i | ||||||
\(232\) | −241.026 | − | 68.2540i | −1.03891 | − | 0.294198i | ||||
\(233\) | −279.358 | −1.19896 | −0.599481 | − | 0.800389i | \(-0.704626\pi\) | ||||
−0.599481 | + | 0.800389i | \(0.704626\pi\) | |||||||
\(234\) | −40.2177 | + | 14.0728i | −0.171871 | + | 0.0601401i | ||||
\(235\) | 14.0836 | + | 124.995i | 0.0599302 | + | 0.531896i | ||||
\(236\) | −0.288169 | + | 0.229807i | −0.00122106 | + | 0.000973759i | ||||
\(237\) | 57.8038 | − | 120.031i | 0.243898 | − | 0.506459i | ||||
\(238\) | 16.3398 | + | 33.9299i | 0.0686545 | + | 0.142563i | ||||
\(239\) | −0.0841531 | + | 0.105525i | −0.000352105 | + | 0.000441525i | −0.782008 | − | 0.623269i | \(-0.785804\pi\) |
0.781655 | + | 0.623711i | \(0.214376\pi\) | |||||||
\(240\) | −19.2306 | + | 30.6053i | −0.0801275 | + | 0.127522i | ||||
\(241\) | 457.706 | − | 104.468i | 1.89919 | − | 0.433479i | 0.899202 | − | 0.437533i | \(-0.144148\pi\) |
0.999992 | + | 0.00405456i | \(0.00129061\pi\) | |||||||
\(242\) | −6.73061 | + | 59.7358i | −0.0278124 | + | 0.246842i | ||||
\(243\) | −133.662 | − | 212.722i | −0.550050 | − | 0.875399i | ||||
\(244\) | 41.1089 | + | 41.1089i | 0.168479 | + | 0.168479i | ||||
\(245\) | −83.4410 | − | 19.0449i | −0.340575 | − | 0.0777341i | ||||
\(246\) | −35.3075 | + | 100.903i | −0.143526 | + | 0.410175i | ||||
\(247\) | 0.510028 | + | 0.178467i | 0.00206489 | + | 0.000722536i | ||||
\(248\) | 110.349 | − | 483.470i | 0.444955 | − | 1.94947i | ||||
\(249\) | −129.182 | + | 129.182i | −0.518802 | + | 0.518802i | ||||
\(250\) | −130.889 | + | 82.2432i | −0.523557 | + | 0.328973i | ||||
\(251\) | −275.015 | − | 30.9867i | −1.09568 | − | 0.123453i | −0.454426 | − | 0.890785i | \(-0.650156\pi\) |
−0.641251 | + | 0.767331i | \(0.721584\pi\) | |||||||
\(252\) | −2.57983 | − | 11.3030i | −0.0102374 | − | 0.0448531i | ||||
\(253\) | −313.140 | − | 196.759i | −1.23771 | − | 0.777703i | ||||
\(254\) | 123.208 | + | 98.2549i | 0.485070 | + | 0.386830i | ||||
\(255\) | 30.6387 | − | 14.7548i | 0.120152 | − | 0.0578620i | ||||
\(256\) | 151.509 | + | 72.9629i | 0.591832 | + | 0.285011i | ||||
\(257\) | 256.872 | + | 322.107i | 0.999501 | + | 1.25333i | 0.967242 | + | 0.253854i | \(0.0816984\pi\) |
0.0322581 | + | 0.999480i | \(0.489730\pi\) | |||||||
\(258\) | −45.2827 | + | 5.10214i | −0.175514 | + | 0.0197757i | ||||
\(259\) | −37.1689 | − | 106.223i | −0.143509 | − | 0.410126i | ||||
\(260\) | 6.90658i | 0.0265638i | ||||||||
\(261\) | 88.0943 | + | 157.698i | 0.337526 | + | 0.604207i | ||||
\(262\) | −240.975 | −0.919752 | ||||||||
\(263\) | 80.4619 | − | 28.1548i | 0.305939 | − | 0.107053i | −0.172943 | − | 0.984932i | \(-0.555328\pi\) |
0.478882 | + | 0.877879i | \(0.341042\pi\) | |||||||
\(264\) | −20.0644 | − | 178.077i | −0.0760017 | − | 0.674534i | ||||
\(265\) | −48.4528 | + | 38.6398i | −0.182841 | + | 0.145811i | ||||
\(266\) | 0.210579 | − | 0.437272i | 0.000791651 | − | 0.00164388i | ||||
\(267\) | 59.4876 | + | 123.527i | 0.222800 | + | 0.462649i | ||||
\(268\) | 12.9582 | − | 16.2491i | 0.0483515 | − | 0.0606309i | ||||
\(269\) | −190.483 | + | 303.152i | −0.708116 | + | 1.12696i | 0.277949 | + | 0.960596i | \(0.410345\pi\) |
−0.986064 | + | 0.166364i | \(0.946797\pi\) | |||||||
\(270\) | 82.3732 | − | 18.8011i | 0.305086 | − | 0.0696338i | ||||
\(271\) | 6.38164 | − | 56.6386i | 0.0235485 | − | 0.208999i | −0.976428 | − | 0.215843i | \(-0.930750\pi\) |
0.999977 | + | 0.00684439i | \(0.00217865\pi\) | |||||||
\(272\) | 65.2221 | + | 103.800i | 0.239787 | + | 0.381619i | ||||
\(273\) | −9.19743 | − | 9.19743i | −0.0336902 | − | 0.0336902i | ||||
\(274\) | 202.429 | + | 46.2032i | 0.738794 | + | 0.168625i | ||||
\(275\) | 88.0082 | − | 251.513i | 0.320030 | − | 0.914593i | ||||
\(276\) | 43.3650 | + | 15.1741i | 0.157120 | + | 0.0549786i | ||||
\(277\) | 49.3432 | − | 216.187i | 0.178134 | − | 0.780458i | −0.804357 | − | 0.594147i | \(-0.797490\pi\) |
0.982491 | − | 0.186311i | \(-0.0596531\pi\) | |||||||
\(278\) | −273.619 | + | 273.619i | −0.984242 | + | 0.984242i | ||||
\(279\) | −302.781 | + | 190.250i | −1.08523 | + | 0.681898i | ||||
\(280\) | 32.6774 | + | 3.68186i | 0.116705 | + | 0.0131495i | ||||
\(281\) | −13.4153 | − | 58.7763i | −0.0477413 | − | 0.209168i | 0.945431 | − | 0.325821i | \(-0.105641\pi\) |
−0.993173 | + | 0.116653i | \(0.962784\pi\) | |||||||
\(282\) | −163.316 | − | 102.618i | −0.579136 | − | 0.363895i | ||||
\(283\) | 86.1969 | + | 68.7397i | 0.304583 | + | 0.242897i | 0.763838 | − | 0.645408i | \(-0.223312\pi\) |
−0.459256 | + | 0.888304i | \(0.651884\pi\) | |||||||
\(284\) | 55.7183 | − | 26.8325i | 0.196191 | − | 0.0944807i | ||||
\(285\) | −0.394856 | − | 0.190153i | −0.00138546 | − | 0.000667203i | ||||
\(286\) | 53.1521 | + | 66.6507i | 0.185847 | + | 0.233044i | ||||
\(287\) | 72.8903 | − | 8.21276i | 0.253973 | − | 0.0286159i | ||||
\(288\) | −29.9363 | − | 85.5530i | −0.103945 | − | 0.297059i | ||||
\(289\) | 173.665i | 0.600916i | ||||||||
\(290\) | −95.2123 | + | 16.6226i | −0.328318 | + | 0.0573194i | ||||
\(291\) | −290.508 | −0.998310 | ||||||||
\(292\) | −71.0198 | + | 24.8509i | −0.243218 | + | 0.0851058i | ||||
\(293\) | 27.3886 | + | 243.081i | 0.0934766 | + | 0.829628i | 0.949730 | + | 0.313071i | \(0.101358\pi\) |
−0.856253 | + | 0.516557i | \(0.827214\pi\) | |||||||
\(294\) | 102.606 | − | 81.8258i | 0.349001 | − | 0.278319i | ||||
\(295\) | −0.327087 | + | 0.679203i | −0.00110877 | + | 0.00230238i | ||||
\(296\) | −210.749 | − | 437.624i | −0.711989 | − | 1.47846i | ||||
\(297\) | −196.982 | + | 247.007i | −0.663238 | + | 0.831675i | ||||
\(298\) | 233.031 | − | 370.867i | 0.781985 | − | 1.24452i | ||||
\(299\) | −112.953 | + | 25.7807i | −0.377768 | + | 0.0862230i | ||||
\(300\) | −3.70636 | + | 32.8949i | −0.0123545 | + | 0.109650i | ||||
\(301\) | 16.6354 | + | 26.4751i | 0.0552671 | + | 0.0879570i | ||||
\(302\) | 233.041 | + | 233.041i | 0.771660 | + | 0.771660i | ||||
\(303\) | 8.55427 | + | 1.95246i | 0.0282319 | + | 0.00644375i | ||||
\(304\) | 0.521804 | − | 1.49123i | 0.00171646 | − | 0.00490536i | ||||
\(305\) | 112.234 | + | 39.2724i | 0.367981 | + | 0.128762i | ||||
\(306\) | 26.0811 | − | 114.269i | 0.0852323 | − | 0.373427i | ||||
\(307\) | −94.4266 | + | 94.4266i | −0.307579 | + | 0.307579i | −0.843970 | − | 0.536391i | \(-0.819787\pi\) |
0.536391 | + | 0.843970i | \(0.319787\pi\) | |||||||
\(308\) | −19.6406 | + | 12.3410i | −0.0637681 | + | 0.0400682i | ||||
\(309\) | 115.308 | + | 12.9921i | 0.373165 | + | 0.0420456i | ||||
\(310\) | −42.5761 | − | 186.538i | −0.137342 | − | 0.601736i | ||||
\(311\) | −147.871 | − | 92.9137i | −0.475471 | − | 0.298758i | 0.272896 | − | 0.962044i | \(-0.412019\pi\) |
−0.748366 | + | 0.663286i | \(0.769161\pi\) | |||||||
\(312\) | −43.8922 | − | 35.0029i | −0.140680 | − | 0.112189i | ||||
\(313\) | −1.30805 | + | 0.629925i | −0.00417908 | + | 0.00201254i | −0.435972 | − | 0.899960i | \(-0.643595\pi\) |
0.431793 | + | 0.901973i | \(0.357881\pi\) | |||||||
\(314\) | 56.8847 | + | 27.3942i | 0.181161 | + | 0.0872428i | ||||
\(315\) | −14.7845 | − | 18.5391i | −0.0469348 | − | 0.0588543i | ||||
\(316\) | −73.9609 | + | 8.33339i | −0.234053 | + | 0.0263715i | ||||
\(317\) | −28.4216 | − | 81.2242i | −0.0896579 | − | 0.256228i | 0.890319 | − | 0.455336i | \(-0.150481\pi\) |
−0.979977 | + | 0.199109i | \(0.936195\pi\) | |||||||
\(318\) | − | 95.0297i | − | 0.298835i | ||||||
\(319\) | 239.595 | − | 270.571i | 0.751082 | − | 0.848186i | ||||
\(320\) | 135.351 | 0.422971 | ||||||||
\(321\) | 128.777 | − | 45.0610i | 0.401174 | − | 0.140377i | ||||
\(322\) | 11.6512 | + | 103.407i | 0.0361838 | + | 0.321140i | ||||
\(323\) | −1.16210 | + | 0.926746i | −0.00359784 | + | 0.00286918i | ||||
\(324\) | −5.59179 | + | 11.6115i | −0.0172586 | + | 0.0358379i | ||||
\(325\) | −36.2195 | − | 75.2106i | −0.111445 | − | 0.231417i | ||||
\(326\) | 170.790 | − | 214.164i | 0.523897 | − | 0.656945i | ||||
\(327\) | −88.4145 | + | 140.711i | −0.270381 | + | 0.430308i | ||||
\(328\) | 308.656 | − | 70.4487i | 0.941024 | − | 0.214783i | ||||
\(329\) | −14.8180 | + | 131.514i | −0.0450396 | + | 0.399738i | ||||
\(330\) | −36.7860 | − | 58.5446i | −0.111473 | − | 0.177408i | ||||
\(331\) | 266.303 | + | 266.303i | 0.804542 | + | 0.804542i | 0.983802 | − | 0.179260i | \(-0.0573702\pi\) |
−0.179260 | + | 0.983802i | \(0.557370\pi\) | |||||||
\(332\) | 99.5055 | + | 22.7115i | 0.299715 | + | 0.0684080i | ||||
\(333\) | −115.681 | + | 330.597i | −0.347390 | + | 0.992784i | ||||
\(334\) | 337.104 | + | 117.958i | 1.00929 | + | 0.353167i | ||||
\(335\) | 9.45893 | − | 41.4423i | 0.0282356 | − | 0.123708i | ||||
\(336\) | −26.8916 | + | 26.8916i | −0.0800346 | + | 0.0800346i | ||||
\(337\) | 298.132 | − | 187.329i | 0.884665 | − | 0.555872i | −0.0113300 | − | 0.999936i | \(-0.503607\pi\) |
0.895995 | + | 0.444064i | \(0.146464\pi\) | |||||||
\(338\) | −267.711 | − | 30.1637i | −0.792043 | − | 0.0892418i | ||||
\(339\) | −20.1215 | − | 88.1581i | −0.0593555 | − | 0.260053i | ||||
\(340\) | −16.0865 | − | 10.1078i | −0.0473131 | − | 0.0297288i | ||||
\(341\) | 559.360 | + | 446.075i | 1.64035 | + | 1.30814i | ||||
\(342\) | −1.36092 | + | 0.655386i | −0.00397931 | + | 0.00191633i | ||||
\(343\) | −169.487 | − | 81.6206i | −0.494131 | − | 0.237961i | ||||
\(344\) | 84.1429 | + | 105.512i | 0.244601 | + | 0.306720i | ||||
\(345\) | 93.3766 | − | 10.5210i | 0.270657 | − | 0.0304957i | ||||
\(346\) | −62.6244 | − | 178.970i | −0.180995 | − | 0.517255i | ||||
\(347\) | − | 641.193i | − | 1.84782i | −0.382610 | − | 0.923910i | \(-0.624975\pi\) | ||
0.382610 | − | 0.923910i | \(-0.375025\pi\) | |||||||
\(348\) | −21.5390 | + | 39.3935i | −0.0618936 | + | 0.113200i | ||||
\(349\) | −467.597 | −1.33982 | −0.669910 | − | 0.742443i | \(-0.733667\pi\) | ||||
−0.669910 | + | 0.742443i | \(0.733667\pi\) | |||||||
\(350\) | −70.7708 | + | 24.7638i | −0.202202 | + | 0.0707536i | ||||
\(351\) | 11.0816 | + | 98.3523i | 0.0315716 | + | 0.280206i | ||||
\(352\) | −141.782 | + | 113.068i | −0.402791 | + | 0.321215i | ||||
\(353\) | 89.7057 | − | 186.276i | 0.254124 | − | 0.527694i | −0.734408 | − | 0.678709i | \(-0.762540\pi\) |
0.988531 | + | 0.151015i | \(0.0482542\pi\) | |||||||
\(354\) | −0.501553 | − | 1.04149i | −0.00141682 | − | 0.00294205i | ||||
\(355\) | 78.8630 | − | 98.8910i | 0.222149 | − | 0.278566i | ||||
\(356\) | 40.7521 | − | 64.8565i | 0.114472 | − | 0.182181i | ||||
\(357\) | 34.8827 | − | 7.96174i | 0.0977105 | − | 0.0223018i | ||||
\(358\) | −22.6432 | + | 200.964i | −0.0632492 | + | 0.561353i | ||||
\(359\) | −93.0423 | − | 148.076i | −0.259171 | − | 0.412468i | 0.691639 | − | 0.722243i | \(-0.256889\pi\) |
−0.950810 | + | 0.309775i | \(0.899746\pi\) | |||||||
\(360\) | −72.3692 | − | 72.3692i | −0.201026 | − | 0.201026i | ||||
\(361\) | −351.930 | − | 80.3258i | −0.974876 | − | 0.222509i | ||||
\(362\) | −55.3470 | + | 158.173i | −0.152892 | + | 0.436941i | ||||
\(363\) | 53.9084 | + | 18.8634i | 0.148508 | + | 0.0519652i | ||||
\(364\) | −1.61700 | + | 7.08455i | −0.00444231 | + | 0.0194630i | ||||
\(365\) | −108.818 | + | 108.818i | −0.298132 | + | 0.298132i | ||||
\(366\) | −154.384 | + | 97.0059i | −0.421814 | + | 0.265043i | ||||
\(367\) | −272.112 | − | 30.6597i | −0.741450 | − | 0.0835413i | −0.266844 | − | 0.963740i | \(-0.585981\pi\) |
−0.474606 | + | 0.880198i | \(0.657409\pi\) | |||||||
\(368\) | 75.3781 | + | 330.253i | 0.204832 | + | 0.897426i | ||||
\(369\) | −193.301 | − | 121.459i | −0.523850 | − | 0.329157i | ||||
\(370\) | −146.522 | − | 116.847i | −0.396005 | − | 0.315804i | ||||
\(371\) | −58.7479 | + | 28.2915i | −0.158350 | + | 0.0762574i | ||||
\(372\) | −80.0780 | − | 38.5635i | −0.215264 | − | 0.103665i | ||||
\(373\) | 30.4398 | + | 38.1703i | 0.0816080 | + | 0.102333i | 0.820959 | − | 0.570987i | \(-0.193439\pi\) |
−0.739351 | + | 0.673320i | \(0.764868\pi\) | |||||||
\(374\) | −233.028 | + | 26.2559i | −0.623069 | + | 0.0702030i | ||||
\(375\) | 48.5074 | + | 138.626i | 0.129353 | + | 0.369670i | ||||
\(376\) | 571.220i | 1.51920i | ||||||||
\(377\) | −6.86181 | − | 113.012i | −0.0182011 | − | 0.299766i | ||||
\(378\) | 88.8976 | 0.235179 | ||||||||
\(379\) | 156.410 | − | 54.7303i | 0.412692 | − | 0.144407i | −0.115944 | − | 0.993256i | \(-0.536989\pi\) |
0.528636 | + | 0.848849i | \(0.322704\pi\) | |||||||
\(380\) | 0.0274137 | + | 0.243304i | 7.21414e−5 | + | 0.000640273i | ||||
\(381\) | 117.058 | − | 93.3510i | 0.307240 | − | 0.245016i | ||||
\(382\) | −45.3543 | + | 94.1793i | −0.118729 | + | 0.246543i | ||||
\(383\) | 70.7762 | + | 146.968i | 0.184794 | + | 0.383729i | 0.972700 | − | 0.232067i | \(-0.0745488\pi\) |
−0.787906 | + | 0.615796i | \(0.788835\pi\) | |||||||
\(384\) | −68.9895 | + | 86.5101i | −0.179660 | + | 0.225287i | ||||
\(385\) | −25.2410 | + | 40.1708i | −0.0655610 | + | 0.104340i | ||||
\(386\) | −523.109 | + | 119.396i | −1.35521 | + | 0.309317i | ||||
\(387\) | 10.8958 | − | 96.7025i | 0.0281544 | − | 0.249877i | ||||
\(388\) | 86.3484 | + | 137.423i | 0.222548 | + | 0.354182i | ||||
\(389\) | −309.216 | − | 309.216i | −0.794899 | − | 0.794899i | 0.187387 | − | 0.982286i | \(-0.439998\pi\) |
−0.982286 | + | 0.187387i | \(0.939998\pi\) | |||||||
\(390\) | −21.1176 | − | 4.81996i | −0.0541477 | − | 0.0123589i | ||||
\(391\) | 105.259 | − | 300.814i | 0.269205 | − | 0.769345i | ||||
\(392\) | −366.855 | − | 128.368i | −0.935856 | − | 0.327470i | ||||
\(393\) | −50.9457 | + | 223.208i | −0.129633 | + | 0.567958i | ||||
\(394\) | 91.3492 | − | 91.3492i | 0.231851 | − | 0.231851i | ||||
\(395\) | −128.896 | + | 80.9907i | −0.326319 | + | 0.205040i | ||||
\(396\) | 71.7390 | + | 8.08304i | 0.181159 | + | 0.0204117i | ||||
\(397\) | −22.7855 | − | 99.8297i | −0.0573942 | − | 0.251460i | 0.938090 | − | 0.346393i | \(-0.112594\pi\) |
−0.995484 | + | 0.0949326i | \(0.969736\pi\) | |||||||
\(398\) | 372.927 | + | 234.325i | 0.937002 | + | 0.588757i | ||||
\(399\) | −0.360512 | − | 0.287499i | −0.000903539 | − | 0.000720548i | ||||
\(400\) | −219.902 | + | 105.899i | −0.549756 | + | 0.264748i | ||||
\(401\) | 122.533 | + | 59.0090i | 0.305569 | + | 0.147155i | 0.580384 | − | 0.814343i | \(-0.302902\pi\) |
−0.274815 | + | 0.961497i | \(0.588617\pi\) | |||||||
\(402\) | 40.6401 | + | 50.9610i | 0.101095 | + | 0.126769i | ||||
\(403\) | 222.724 | − | 25.0949i | 0.552664 | − | 0.0622703i | ||||
\(404\) | −1.61901 | − | 4.62687i | −0.00400745 | − | 0.0114526i | ||||
\(405\) | 26.3593i | 0.0650846i | ||||||||
\(406\) | −101.558 | − | 5.24061i | −0.250142 | − | 0.0129079i | ||||
\(407\) | 700.766 | 1.72178 | ||||||||
\(408\) | 145.763 | − | 51.0048i | 0.357263 | − | 0.125012i | ||||
\(409\) | −38.6381 | − | 342.922i | −0.0944696 | − | 0.838441i | −0.948189 | − | 0.317708i | \(-0.897087\pi\) |
0.853719 | − | 0.520734i | \(-0.174342\pi\) | |||||||
\(410\) | 95.5022 | − | 76.1604i | 0.232932 | − | 0.185757i | ||||
\(411\) | 85.5932 | − | 177.736i | 0.208256 | − | 0.432448i | ||||
\(412\) | −28.1274 | − | 58.4072i | −0.0682705 | − | 0.141765i | ||||
\(413\) | −0.494534 | + | 0.620126i | −0.00119742 | + | 0.00150152i | ||||
\(414\) | 172.310 | − | 274.229i | 0.416207 | − | 0.662390i | ||||
\(415\) | 203.518 | − | 46.4516i | 0.490405 | − | 0.111932i | ||||
\(416\) | −6.36087 | + | 56.4543i | −0.0152906 | + | 0.135707i | ||||
\(417\) | 195.598 | + | 311.292i | 0.469059 | + | 0.746504i | ||||
\(418\) | 2.13698 | + | 2.13698i | 0.00511240 | + | 0.00511240i | ||||
\(419\) | 200.129 | + | 45.6781i | 0.477635 | + | 0.109017i | 0.454559 | − | 0.890717i | \(-0.349797\pi\) |
0.0230758 | + | 0.999734i | \(0.492654\pi\) | |||||||
\(420\) | 1.94659 | − | 5.56304i | 0.00463474 | − | 0.0132453i | ||||
\(421\) | −30.0377 | − | 10.5107i | −0.0713485 | − | 0.0249659i | 0.294369 | − | 0.955692i | \(-0.404891\pi\) |
−0.365717 | + | 0.930726i | \(0.619176\pi\) | |||||||
\(422\) | 72.0891 | − | 315.843i | 0.170827 | − | 0.748443i | ||||
\(423\) | 291.258 | − | 291.258i | 0.688553 | − | 0.688553i | ||||
\(424\) | −238.296 | + | 149.731i | −0.562019 | + | 0.353140i | ||||
\(425\) | 228.184 | + | 25.7102i | 0.536904 | + | 0.0604946i | ||||
\(426\) | 43.1587 | + | 189.091i | 0.101312 | + | 0.443875i | ||||
\(427\) | 105.932 | + | 66.5612i | 0.248083 | + | 0.155881i | ||||
\(428\) | −59.5924 | − | 47.5234i | −0.139235 | − | 0.111036i | ||||
\(429\) | 72.9736 | − | 35.1422i | 0.170102 | − | 0.0819166i | ||||
\(430\) | 46.9133 | + | 22.5922i | 0.109101 | + | 0.0525401i | ||||
\(431\) | −404.927 | − | 507.763i | −0.939507 | − | 1.17810i | −0.983833 | − | 0.179087i | \(-0.942686\pi\) |
0.0443267 | − | 0.999017i | \(-0.485886\pi\) | |||||||
\(432\) | 287.564 | − | 32.4007i | 0.665659 | − | 0.0750017i | ||||
\(433\) | 98.3588 | + | 281.093i | 0.227156 | + | 0.649176i | 0.999896 | + | 0.0144521i | \(0.00460042\pi\) |
−0.772739 | + | 0.634724i | \(0.781114\pi\) | |||||||
\(434\) | − | 201.313i | − | 0.463855i | ||||||
\(435\) | −4.73227 | + | 91.7064i | −0.0108788 | + | 0.210819i | ||||
\(436\) | 92.8419 | 0.212940 | ||||||||
\(437\) | −3.87674 | + | 1.35653i | −0.00887126 | + | 0.00310419i | ||||
\(438\) | −26.4211 | − | 234.494i | −0.0603221 | − | 0.535374i | ||||
\(439\) | −104.158 | + | 83.0632i | −0.237262 | + | 0.189210i | −0.734902 | − | 0.678174i | \(-0.762772\pi\) |
0.497640 | + | 0.867384i | \(0.334200\pi\) | |||||||
\(440\) | −88.8453 | + | 184.489i | −0.201921 | + | 0.419294i | ||||
\(441\) | 121.602 | + | 252.508i | 0.275741 | + | 0.572581i | ||||
\(442\) | −45.8040 | + | 57.4364i | −0.103629 | + | 0.129947i | ||||
\(443\) | −174.139 | + | 277.141i | −0.393091 | + | 0.625601i | −0.983373 | − | 0.181596i | \(-0.941874\pi\) |
0.590282 | + | 0.807197i | \(0.299017\pi\) | |||||||
\(444\) | −84.8732 | + | 19.3718i | −0.191156 | + | 0.0436301i | ||||
\(445\) | 17.5407 | − | 155.678i | 0.0394174 | − | 0.349839i | ||||
\(446\) | −63.4719 | − | 101.015i | −0.142314 | − | 0.226491i | ||||
\(447\) | −294.257 | − | 294.257i | −0.658292 | − | 0.658292i | ||||
\(448\) | 138.839 | + | 31.6890i | 0.309908 | + | 0.0707344i | ||||
\(449\) | 73.6423 | − | 210.458i | 0.164014 | − | 0.468725i | −0.832318 | − | 0.554299i | \(-0.812987\pi\) |
0.996332 | + | 0.0855735i | \(0.0272722\pi\) | |||||||
\(450\) | 220.260 | + | 77.0724i | 0.489467 | + | 0.171272i | ||||
\(451\) | −101.638 | + | 445.303i | −0.225361 | + | 0.987369i | ||||
\(452\) | −35.7218 | + | 35.7218i | −0.0790305 | + | 0.0790305i | ||||
\(453\) | 265.127 | − | 166.591i | 0.585270 | − | 0.367750i | ||||
\(454\) | 184.376 | + | 20.7742i | 0.406114 | + | 0.0457581i | ||||
\(455\) | 3.30724 | + | 14.4900i | 0.00726867 | + | 0.0318461i | ||||
\(456\) | −1.68516 | − | 1.05886i | −0.00369553 | − | 0.00232205i | ||||
\(457\) | −606.218 | − | 483.443i | −1.32652 | − | 1.05786i | −0.993367 | − | 0.114988i | \(-0.963317\pi\) |
−0.333150 | − | 0.942874i | \(-0.608112\pi\) | |||||||
\(458\) | 503.532 | − | 242.488i | 1.09941 | − | 0.529450i | ||||
\(459\) | −245.296 | − | 118.128i | −0.534413 | − | 0.257360i | ||||
\(460\) | −32.7314 | − | 41.0439i | −0.0711553 | − | 0.0892259i | ||||
\(461\) | −485.426 | + | 54.6943i | −1.05298 | + | 0.118643i | −0.621450 | − | 0.783454i | \(-0.713456\pi\) |
−0.431534 | + | 0.902097i | \(0.642027\pi\) | |||||||
\(462\) | −24.0272 | − | 68.6658i | −0.0520069 | − | 0.148627i | ||||
\(463\) | 770.815i | 1.66483i | 0.554155 | + | 0.832414i | \(0.313042\pi\) | ||||
−0.554155 | + | 0.832414i | \(0.686958\pi\) | |||||||
\(464\) | −330.426 | + | 20.0627i | −0.712126 | + | 0.0432386i | ||||
\(465\) | −181.786 | −0.390937 | ||||||||
\(466\) | −462.006 | + | 161.663i | −0.991429 | + | 0.346916i | ||||
\(467\) | 93.5969 | + | 830.696i | 0.200422 | + | 1.77879i | 0.543425 | + | 0.839458i | \(0.317127\pi\) |
−0.343003 | + | 0.939334i | \(0.611444\pi\) | |||||||
\(468\) | 17.6821 | − | 14.1010i | 0.0377824 | − | 0.0301304i | ||||
\(469\) | 19.4053 | − | 40.2956i | 0.0413760 | − | 0.0859182i | ||||
\(470\) | 95.6258 | + | 198.569i | 0.203459 | + | 0.422487i | ||||
\(471\) | 37.4007 | − | 46.8990i | 0.0794070 | − | 0.0995732i | ||||
\(472\) | −1.82137 | + | 2.89869i | −0.00385883 | + | 0.00614129i | ||||
\(473\) | −189.820 | + | 43.3252i | −0.401311 | + | 0.0915966i | ||||
\(474\) | 26.1355 | − | 231.959i | 0.0551382 | − | 0.489365i | ||||
\(475\) | −1.57446 | − | 2.50574i | −0.00331466 | − | 0.00527525i | ||||
\(476\) | −14.1345 | − | 14.1345i | −0.0296943 | − | 0.0296943i | ||||
\(477\) | 197.850 | + | 45.1581i | 0.414781 | + | 0.0946710i | ||||
\(478\) | −0.0781069 | + | 0.223217i | −0.000163404 | + | 0.000466981i | ||||
\(479\) | −701.949 | − | 245.623i | −1.46545 | − | 0.512782i | −0.524522 | − | 0.851397i | \(-0.675756\pi\) |
−0.940925 | + | 0.338615i | \(0.890042\pi\) | |||||||
\(480\) | 10.2532 | − | 44.9224i | 0.0213609 | − | 0.0935883i | ||||
\(481\) | 155.233 | − | 155.233i | 0.322731 | − | 0.322731i | ||||
\(482\) | 696.504 | − | 437.643i | 1.44503 | − | 0.907972i | ||||
\(483\) | 98.2460 | + | 11.0697i | 0.203408 | + | 0.0229186i | ||||
\(484\) | −7.10015 | − | 31.1078i | −0.0146697 | − | 0.0642723i | ||||
\(485\) | 281.070 | + | 176.608i | 0.579526 | + | 0.364140i | ||||
\(486\) | −344.153 | − | 274.453i | −0.708134 | − | 0.564718i | ||||
\(487\) | −808.881 | + | 389.537i | −1.66095 | + | 0.799870i | −0.662226 | + | 0.749304i | \(0.730388\pi\) |
−0.998721 | + | 0.0505653i | \(0.983898\pi\) | |||||||
\(488\) | 486.504 | + | 234.288i | 0.996934 | + | 0.480098i | ||||
\(489\) | −162.266 | − | 203.475i | −0.331832 | − | 0.416105i | ||||
\(490\) | −149.017 | + | 16.7902i | −0.304116 | + | 0.0342657i | ||||
\(491\) | 144.911 | + | 414.132i | 0.295135 | + | 0.843446i | 0.991999 | + | 0.126244i | \(0.0402921\pi\) |
−0.696865 | + | 0.717203i | \(0.745422\pi\) | |||||||
\(492\) | − | 56.7425i | − | 0.115330i | ||||||
\(493\) | 273.264 | + | 149.411i | 0.554288 | + | 0.303065i | ||||
\(494\) | 0.946768 | 0.00191653 | ||||||||
\(495\) | 139.370 | − | 48.7676i | 0.281555 | − | 0.0985204i | ||||
\(496\) | −73.3730 | − | 651.204i | −0.147929 | − | 1.31291i | ||||
\(497\) | 104.048 | − | 82.9755i | 0.209352 | − | 0.166953i | ||||
\(498\) | −138.886 | + | 288.399i | −0.278887 | + | 0.579114i | ||||
\(499\) | 275.489 | + | 572.059i | 0.552082 | + | 1.14641i | 0.971153 | + | 0.238457i | \(0.0766416\pi\) |
−0.419071 | + | 0.907954i | \(0.637644\pi\) | |||||||
\(500\) | 51.1581 | − | 64.1502i | 0.102316 | − | 0.128300i | ||||
\(501\) | 180.529 | − | 287.311i | 0.360338 | − | 0.573475i | ||||
\(502\) | −472.755 | + | 107.903i | −0.941743 | + | 0.214947i | ||||
\(503\) | 87.3784 | − | 775.505i | 0.173714 | − | 1.54176i | −0.540207 | − | 0.841532i | \(-0.681654\pi\) |
0.713921 | − | 0.700226i | \(-0.246917\pi\) | |||||||
\(504\) | −57.2906 | − | 91.1775i | −0.113672 | − | 0.180908i | ||||
\(505\) | −7.08940 | − | 7.08940i | −0.0140384 | − | 0.0140384i | ||||
\(506\) | −631.738 | − | 144.190i | −1.24849 | − | 0.284960i | ||||
\(507\) | −84.5377 | + | 241.595i | −0.166741 | + | 0.476518i | ||||
\(508\) | −78.9526 | − | 27.6267i | −0.155418 | − | 0.0543833i | ||||
\(509\) | −219.690 | + | 962.525i | −0.431611 | + | 1.89101i | 0.0218997 | + | 0.999760i | \(0.493029\pi\) |
−0.453511 | + | 0.891251i | \(0.649829\pi\) | |||||||
\(510\) | 42.1321 | − | 42.1321i | 0.0826120 | − | 0.0826120i | ||||
\(511\) | −137.099 | + | 86.1453i | −0.268296 | + | 0.168582i | ||||
\(512\) | 556.996 | + | 62.7584i | 1.08788 | + | 0.122575i | ||||
\(513\) | 0.780764 | + | 3.42075i | 0.00152196 | + | 0.00666813i | ||||
\(514\) | 611.219 | + | 384.054i | 1.18914 | + | 0.747187i | ||||
\(515\) | −103.663 | − | 82.6688i | −0.201288 | − | 0.160522i | ||||
\(516\) | 21.7924 | − | 10.4947i | 0.0422333 | − | 0.0203385i | ||||
\(517\) | −742.497 | − | 357.568i | −1.43617 | − | 0.691621i | ||||
\(518\) | −122.941 | − | 154.163i | −0.237337 | − | 0.297612i | ||||
\(519\) | −179.014 | + | 20.1701i | −0.344922 | + | 0.0388633i | ||||
\(520\) | 21.1870 | + | 60.5490i | 0.0407442 | + | 0.116440i | ||||
\(521\) | − | 535.964i | − | 1.02872i | −0.857574 | − | 0.514361i | \(-0.828029\pi\) | ||
0.857574 | − | 0.514361i | \(-0.171971\pi\) | |||||||
\(522\) | 236.950 | + | 209.823i | 0.453928 | + | 0.401960i | ||||
\(523\) | 915.345 | 1.75018 | 0.875091 | − | 0.483959i | \(-0.160801\pi\) | ||||
0.875091 | + | 0.483959i | \(0.160801\pi\) | |||||||
\(524\) | 120.729 | − | 42.2451i | 0.230400 | − | 0.0806204i | ||||
\(525\) | 7.97591 | + | 70.7882i | 0.0151922 | + | 0.134835i | ||||
\(526\) | 116.776 | − | 93.1257i | 0.222007 | − | 0.177045i | ||||
\(527\) | −267.507 | + | 555.483i | −0.507603 | + | 1.05405i | ||||
\(528\) | −102.750 | − | 213.362i | −0.194601 | − | 0.404094i | ||||
\(529\) | 219.241 | − | 274.920i | 0.414445 | − | 0.519697i | ||||
\(530\) | −57.7712 | + | 91.9423i | −0.109002 | + | 0.173476i | ||||
\(531\) | 2.40670 | − | 0.549313i | 0.00453239 | − | 0.00103449i | ||||
\(532\) | −0.0288433 | + | 0.255991i | −5.42167e−5 | + | 0.000481187i | ||||
\(533\) | 76.1287 | + | 121.158i | 0.142831 | + | 0.227314i | ||||
\(534\) | 169.866 | + | 169.866i | 0.318101 | + | 0.318101i | ||||
\(535\) | −151.987 | − | 34.6900i | −0.284088 | − | 0.0648412i | ||||
\(536\) | 63.7561 | − | 182.205i | 0.118948 | − | 0.339934i | ||||
\(537\) | 181.360 | + | 63.4605i | 0.337728 | + | 0.118176i | ||||
\(538\) | −139.591 | + | 611.588i | −0.259463 | + | 1.13678i | ||||
\(539\) | 396.500 | − | 396.500i | 0.735622 | − | 0.735622i | ||||
\(540\) | −37.9733 | + | 23.8602i | −0.0703209 | + | 0.0441855i | ||||
\(541\) | 28.3793 | + | 3.19758i | 0.0524572 | + | 0.00591051i | 0.138154 | − | 0.990411i | \(-0.455883\pi\) |
−0.0856969 | + | 0.996321i | \(0.527312\pi\) | |||||||
\(542\) | −22.2224 | − | 97.3627i | −0.0410007 | − | 0.179636i | ||||
\(543\) | 134.809 | + | 84.7062i | 0.248267 | + | 0.155997i | ||||
\(544\) | −122.181 | − | 97.4365i | −0.224598 | − | 0.179111i | ||||
\(545\) | 171.084 | − | 82.3897i | 0.313916 | − | 0.151174i | ||||
\(546\) | −20.5333 | − | 9.88832i | −0.0376068 | − | 0.0181105i | ||||
\(547\) | −73.0250 | − | 91.5704i | −0.133501 | − | 0.167405i | 0.710588 | − | 0.703609i | \(-0.248429\pi\) |
−0.844088 | + | 0.536204i | \(0.819858\pi\) | |||||||
\(548\) | −109.518 | + | 12.3397i | −0.199850 | + | 0.0225177i | ||||
\(549\) | −128.602 | − | 367.522i | −0.234247 | − | 0.669440i | ||||
\(550\) | − | 466.885i | − | 0.848882i | ||||||
\(551\) | −0.690296 | − | 3.95393i | −0.00125281 | − | 0.00717591i | ||||
\(552\) | 426.724 | 0.773051 | ||||||||
\(553\) | −151.179 | + | 52.8999i | −0.273380 | + | 0.0956599i | ||||
\(554\) | −43.5016 | − | 386.087i | −0.0785227 | − | 0.696908i | ||||
\(555\) | −139.209 | + | 111.015i | −0.250827 | + | 0.200028i | ||||
\(556\) | 89.1165 | − | 185.052i | 0.160281 | − | 0.332828i | ||||
\(557\) | −376.472 | − | 781.753i | −0.675893 | − | 1.40351i | −0.903002 | − | 0.429636i | \(-0.858642\pi\) |
0.227109 | − | 0.973869i | \(-0.427073\pi\) | |||||||
\(558\) | −390.646 | + | 489.854i | −0.700082 | + | 0.877875i | ||||
\(559\) | −32.4515 | + | 51.6462i | −0.0580527 | + | 0.0923904i | ||||
\(560\) | 42.3661 | − | 9.66979i | 0.0756538 | − | 0.0172675i | ||||
\(561\) | −24.9455 | + | 221.397i | −0.0444661 | + | 0.394648i | ||||
\(562\) | −56.1999 | − | 89.4416i | −0.0999998 | − | 0.159149i | ||||
\(563\) | 66.7692 | + | 66.7692i | 0.118595 | + | 0.118595i | 0.763914 | − | 0.645318i | \(-0.223275\pi\) |
−0.645318 | + | 0.763914i | \(0.723275\pi\) | |||||||
\(564\) | 99.8120 | + | 22.7814i | 0.176972 | + | 0.0403926i | ||||
\(565\) | −34.1260 | + | 97.5264i | −0.0603999 | + | 0.172613i | ||||
\(566\) | 182.333 | + | 63.8010i | 0.322143 | + | 0.112723i | ||||
\(567\) | −6.17136 | + | 27.0385i | −0.0108842 | + | 0.0476870i | ||||
\(568\) | 406.161 | − | 406.161i | 0.715073 | − | 0.715073i | ||||
\(569\) | 586.687 | − | 368.640i | 1.03108 | − | 0.647873i | 0.0934960 | − | 0.995620i | \(-0.470196\pi\) |
0.937589 | + | 0.347746i | \(0.113053\pi\) | |||||||
\(570\) | −0.763059 | − | 0.0859761i | −0.00133870 | − | 0.000150835i | ||||
\(571\) | 122.100 | + | 534.957i | 0.213836 | + | 0.936877i | 0.961933 | + | 0.273287i | \(0.0881109\pi\) |
−0.748096 | + | 0.663590i | \(0.769032\pi\) | |||||||
\(572\) | −38.3139 | − | 24.0742i | −0.0669823 | − | 0.0420878i | ||||
\(573\) | 77.6467 | + | 61.9212i | 0.135509 | + | 0.108065i | ||||
\(574\) | 115.794 | − | 55.7635i | 0.201732 | − | 0.0971490i | ||||
\(575\) | 571.679 | + | 275.306i | 0.994224 | + | 0.478793i | ||||
\(576\) | −276.343 | − | 346.524i | −0.479763 | − | 0.601604i | ||||
\(577\) | 377.501 | − | 42.5342i | 0.654248 | − | 0.0737161i | 0.221400 | − | 0.975183i | \(-0.428937\pi\) |
0.432848 | + | 0.901467i | \(0.357509\pi\) | |||||||
\(578\) | 100.499 | + | 287.209i | 0.173873 | + | 0.496901i | ||||
\(579\) | 509.782i | 0.880452i | ||||||||
\(580\) | 44.7876 | − | 25.0196i | 0.0772201 | − | 0.0431372i | ||||
\(581\) | 219.638 | 0.378034 | ||||||||
\(582\) | −480.446 | + | 168.115i | −0.825509 | + | 0.288858i | ||||
\(583\) | −45.4608 | − | 403.476i | −0.0779774 | − | 0.692068i | ||||
\(584\) | −546.386 | + | 435.728i | −0.935593 | + | 0.746110i | ||||
\(585\) | 20.0702 | − | 41.6761i | 0.0343080 | − | 0.0712413i | ||||
\(586\) | 185.965 | + | 386.161i | 0.317347 | + | 0.658977i | ||||
\(587\) | 227.442 | − | 285.204i | 0.387466 | − | 0.485867i | −0.549398 | − | 0.835561i | \(-0.685143\pi\) |
0.936864 | + | 0.349694i | \(0.113714\pi\) | |||||||
\(588\) | −37.0614 | + | 58.9828i | −0.0630295 | + | 0.100311i | ||||
\(589\) | 7.74646 | − | 1.76808i | 0.0131519 | − | 0.00300183i | ||||
\(590\) | −0.147890 | + | 1.31256i | −0.000250661 | + | 0.00222468i | ||||
\(591\) | −65.3013 | − | 103.926i | −0.110493 | − | 0.175849i | ||||
\(592\) | −453.875 | − | 453.875i | −0.766680 | − | 0.766680i | ||||
\(593\) | −79.2074 | − | 18.0786i | −0.133571 | − | 0.0304866i | 0.155213 | − | 0.987881i | \(-0.450394\pi\) |
−0.288784 | + | 0.957394i | \(0.593251\pi\) | |||||||
\(594\) | −182.829 | + | 522.496i | −0.307793 | + | 0.879623i | ||||
\(595\) | −38.5895 | − | 13.5031i | −0.0648564 | − | 0.0226942i | ||||
\(596\) | −51.7333 | + | 226.659i | −0.0868009 | + | 0.380300i | ||||
\(597\) | 295.890 | − | 295.890i | 0.495629 | − | 0.495629i | ||||
\(598\) | −171.883 | + | 108.001i | −0.287430 | + | 0.180604i | ||||
\(599\) | 110.418 | + | 12.4411i | 0.184337 | + | 0.0207698i | 0.203650 | − | 0.979044i | \(-0.434719\pi\) |
−0.0193132 | + | 0.999813i | \(0.506148\pi\) | |||||||
\(600\) | 68.4170 | + | 299.754i | 0.114028 | + | 0.499591i | ||||
\(601\) | −240.700 | − | 151.242i | −0.400499 | − | 0.251650i | 0.316690 | − | 0.948529i | \(-0.397429\pi\) |
−0.717189 | + | 0.696879i | \(0.754571\pi\) | |||||||
\(602\) | 42.8328 | + | 34.1580i | 0.0711508 | + | 0.0567409i | ||||
\(603\) | −125.412 | + | 60.3954i | −0.207980 | + | 0.100158i | ||||
\(604\) | −157.609 | − | 75.9005i | −0.260942 | − | 0.125663i | ||||
\(605\) | −40.6895 | − | 51.0230i | −0.0672553 | − | 0.0843355i | ||||
\(606\) | 15.2770 | − | 1.72131i | 0.0252096 | − | 0.00284044i | ||||
\(607\) | −103.263 | − | 295.109i | −0.170120 | − | 0.486176i | 0.826984 | − | 0.562226i | \(-0.190055\pi\) |
−0.997104 | + | 0.0760501i | \(0.975769\pi\) | |||||||
\(608\) | 2.01401i | 0.00331252i | ||||||||
\(609\) | −26.3250 | + | 92.9616i | −0.0432266 | + | 0.152646i | ||||
\(610\) | 208.341 | 0.341542 | ||||||||
\(611\) | −243.686 | + | 85.2694i | −0.398832 | + | 0.139557i | ||||
\(612\) | 6.96559 | + | 61.8213i | 0.0113817 | + | 0.101015i | ||||
\(613\) | −109.428 | + | 87.2662i | −0.178513 | + | 0.142359i | −0.708670 | − | 0.705540i | \(-0.750704\pi\) |
0.530157 | + | 0.847899i | \(0.322133\pi\) | |||||||
\(614\) | −101.520 | + | 210.808i | −0.165342 | + | 0.343336i | ||||
\(615\) | −50.3545 | − | 104.562i | −0.0818772 | − | 0.170020i | ||||
\(616\) | −134.328 | + | 168.442i | −0.218065 | + | 0.273445i | ||||
\(617\) | −530.280 | + | 843.935i | −0.859448 | + | 1.36780i | 0.0694948 | + | 0.997582i | \(0.477861\pi\) |
−0.928943 | + | 0.370222i | \(0.879282\pi\) | |||||||
\(618\) | 198.216 | − | 45.2415i | 0.320738 | − | 0.0732063i | ||||
\(619\) | 2.68832 | − | 23.8595i | 0.00434301 | − | 0.0385452i | −0.991354 | − | 0.131216i | \(-0.958112\pi\) |
0.995697 | + | 0.0926708i | \(0.0295404\pi\) | |||||||
\(620\) | 54.0326 | + | 85.9923i | 0.0871493 | + | 0.138697i | ||||
\(621\) | −531.964 | − | 531.964i | −0.856624 | − | 0.856624i | ||||
\(622\) | −298.320 | − | 68.0896i | −0.479614 | − | 0.109469i | ||||
\(623\) | 54.4409 | − | 155.583i | 0.0873851 | − | 0.249732i | ||||
\(624\) | −70.0248 | − | 24.5027i | −0.112219 | − | 0.0392672i | ||||
\(625\) | −81.6042 | + | 357.531i | −0.130567 | + | 0.572050i | ||||
\(626\) | −1.79874 | + | 1.79874i | −0.00287339 | + | 0.00287339i | ||||
\(627\) | 2.43121 | − | 1.52763i | 0.00387753 | − | 0.00243641i | ||||
\(628\) | −33.3019 | − | 3.75222i | −0.0530285 | − | 0.00597488i | ||||
\(629\) | 134.378 | + | 588.747i | 0.213637 | + | 0.936005i | ||||
\(630\) | −35.1792 | − | 22.1046i | −0.0558400 | − | 0.0350866i | ||||
\(631\) | −198.431 | − | 158.243i | −0.314470 | − | 0.250782i | 0.453516 | − | 0.891248i | \(-0.350170\pi\) |
−0.767986 | + | 0.640467i | \(0.778741\pi\) | |||||||
\(632\) | −622.840 | + | 299.944i | −0.985507 | + | 0.474595i | ||||
\(633\) | −277.315 | − | 133.548i | −0.438096 | − | 0.210976i | ||||
\(634\) | −94.0079 | − | 117.882i | −0.148277 | − | 0.185934i | ||||
\(635\) | −170.006 | + | 19.1551i | −0.267726 | + | 0.0301655i | ||||
\(636\) | 16.6595 | + | 47.6102i | 0.0261943 | + | 0.0748589i | ||||
\(637\) | − | 175.665i | − | 0.275769i | ||||||
\(638\) | 239.668 | − | 586.127i | 0.375655 | − | 0.918694i | ||||
\(639\) | −414.193 | −0.648189 | ||||||||
\(640\) | 119.340 | − | 41.7589i | 0.186469 | − | 0.0652483i | ||||
\(641\) | −38.2084 | − | 339.109i | −0.0596075 | − | 0.529031i | −0.987664 | − | 0.156591i | \(-0.949950\pi\) |
0.928056 | − | 0.372440i | \(-0.121479\pi\) | |||||||
\(642\) | 186.896 | − | 149.045i | 0.291116 | − | 0.232157i | ||||
\(643\) | 251.743 | − | 522.750i | 0.391513 | − | 0.812985i | −0.608301 | − | 0.793706i | \(-0.708149\pi\) |
0.999814 | − | 0.0192789i | \(-0.00613705\pi\) | |||||||
\(644\) | −23.9655 | − | 49.7648i | −0.0372135 | − | 0.0772746i | ||||
\(645\) | 30.8447 | − | 38.6780i | 0.0478212 | − | 0.0599659i | ||||
\(646\) | −1.38560 | + | 2.20517i | −0.00214489 | + | 0.00341357i | ||||
\(647\) | −442.664 | + | 101.035i | −0.684179 | + | 0.156160i | −0.550462 | − | 0.834860i | \(-0.685549\pi\) |
−0.133717 | + | 0.991020i | \(0.542691\pi\) | |||||||
\(648\) | −13.4024 | + | 118.950i | −0.0206827 | + | 0.183564i | ||||
\(649\) | −2.62772 | − | 4.18199i | −0.00404888 | − | 0.00644375i | ||||
\(650\) | −103.424 | − | 103.424i | −0.159114 | − | 0.159114i | ||||
\(651\) | −186.470 | − | 42.5605i | −0.286436 | − | 0.0653772i | ||||
\(652\) | −48.0217 | + | 137.238i | −0.0736529 | + | 0.210488i | ||||
\(653\) | −551.878 | − | 193.110i | −0.845142 | − | 0.295728i | −0.127240 | − | 0.991872i | \(-0.540612\pi\) |
−0.717902 | + | 0.696144i | \(0.754898\pi\) | |||||||
\(654\) | −64.7924 | + | 283.874i | −0.0990710 | + | 0.434058i | ||||
\(655\) | 184.985 | − | 184.985i | 0.282419 | − | 0.282419i | ||||
\(656\) | 354.245 | − | 222.587i | 0.540007 | − | 0.339309i | ||||
\(657\) | 500.768 | + | 56.4230i | 0.762204 | + | 0.0858798i | ||||
\(658\) | 51.6000 | + | 226.074i | 0.0784194 | + | 0.343578i | ||||
\(659\) | 761.337 | + | 478.379i | 1.15529 | + | 0.725917i | 0.966643 | − | 0.256128i | \(-0.0824467\pi\) |
0.188648 | + | 0.982045i | \(0.439590\pi\) | |||||||
\(660\) | 28.6933 | + | 22.8822i | 0.0434748 | + | 0.0346700i | ||||
\(661\) | 992.160 | − | 477.799i | 1.50100 | − | 0.722843i | 0.510437 | − | 0.859915i | \(-0.329484\pi\) |
0.990561 | + | 0.137072i | \(0.0437693\pi\) | |||||||
\(662\) | 594.524 | + | 286.308i | 0.898073 | + | 0.432489i | ||||
\(663\) | 43.5179 | + | 54.5698i | 0.0656379 | + | 0.0823073i | ||||
\(664\) | 942.021 | − | 106.140i | 1.41871 | − | 0.159850i | ||||
\(665\) | 0.174021 | + | 0.497323i | 0.000261686 | + | 0.000747855i | ||||
\(666\) | 613.689i | 0.921456i | ||||||||
\(667\) | 576.360 | + | 639.080i | 0.864109 | + | 0.958141i | ||||
\(668\) | −189.569 | −0.283787 | ||||||||
\(669\) | −106.986 | + | 37.4360i | −0.159919 | + | 0.0559581i | ||||
\(670\) | −8.33910 | − | 74.0116i | −0.0124464 | − | 0.110465i | ||||
\(671\) | −609.076 | + | 485.722i | −0.907713 | + | 0.723877i | ||||
\(672\) | 21.0349 | − | 43.6794i | 0.0313019 | − | 0.0649992i | ||||
\(673\) | −231.236 | − | 480.167i | −0.343590 | − | 0.713473i | 0.655540 | − | 0.755160i | \(-0.272441\pi\) |
−0.999131 | + | 0.0416874i | \(0.986727\pi\) | |||||||
\(674\) | 384.649 | − | 482.334i | 0.570695 | − | 0.715629i | ||||
\(675\) | 288.390 | − | 458.971i | 0.427245 | − | 0.679956i | ||||
\(676\) | 139.412 | − | 31.8199i | 0.206231 | − | 0.0470708i | ||||
\(677\) | −0.426844 | + | 3.78834i | −0.000630493 | + | 0.00559578i | −0.994024 | − | 0.109166i | \(-0.965182\pi\) |
0.993393 | + | 0.114762i | \(0.0366105\pi\) | |||||||
\(678\) | −84.2938 | − | 134.153i | −0.124327 | − | 0.197865i | ||||
\(679\) | 246.964 | + | 246.964i | 0.363718 | + | 0.363718i | ||||
\(680\) | −172.035 | − | 39.2659i | −0.252993 | − | 0.0577439i | ||||
\(681\) | 58.2223 | − | 166.390i | 0.0854953 | − | 0.244331i | ||||
\(682\) | 1183.22 | + | 414.026i | 1.73492 | + | 0.607076i | ||||
\(683\) | 122.389 | − | 536.221i | 0.179193 | − | 0.785096i | −0.802810 | − | 0.596234i | \(-0.796663\pi\) |
0.982004 | − | 0.188862i | \(-0.0604799\pi\) | |||||||
\(684\) | 0.566933 | − | 0.566933i | 0.000828850 | − | 0.000828850i | ||||
\(685\) | −190.863 | + | 119.927i | −0.278632 | + | 0.175076i | ||||
\(686\) | −327.533 | − | 36.9041i | −0.477453 | − | 0.0537961i | ||||
\(687\) | −118.155 | − | 517.671i | −0.171987 | − | 0.753525i | ||||
\(688\) | 151.004 | + | 94.8823i | 0.219483 | + | 0.137910i | ||||
\(689\) | −99.4483 | − | 79.3073i | −0.144337 | − | 0.115105i | ||||
\(690\) | 148.339 | − | 71.4362i | 0.214984 | − | 0.103531i | ||||
\(691\) | 689.611 | + | 332.099i | 0.997990 | + | 0.480606i | 0.860256 | − | 0.509863i | \(-0.170304\pi\) |
0.137734 | + | 0.990469i | \(0.456018\pi\) | |||||||
\(692\) | 62.7502 | + | 78.6862i | 0.0906795 | + | 0.113708i | ||||
\(693\) | 154.379 | − | 17.3943i | 0.222769 | − | 0.0251000i | ||||
\(694\) | −371.055 | − | 1060.41i | −0.534661 | − | 1.52797i | ||||
\(695\) | − | 420.088i | − | 0.604443i | ||||||
\(696\) | −67.9833 | + | 411.432i | −0.0976772 | + | 0.591137i | ||||
\(697\) | −393.610 | −0.564721 | ||||||||
\(698\) | −773.318 | + | 270.596i | −1.10790 | + | 0.387673i | ||||
\(699\) | 52.0684 | + | 462.120i | 0.0744898 | + | 0.661115i | ||||
\(700\) | 31.1151 | − | 24.8135i | 0.0444502 | − | 0.0354479i | ||||
\(701\) | 391.731 | − | 813.437i | 0.558817 | − | 1.16040i | −0.409878 | − | 0.912141i | \(-0.634429\pi\) |
0.968695 | − | 0.248255i | \(-0.0798571\pi\) | |||||||
\(702\) | 75.2429 | + | 156.243i | 0.107184 | + | 0.222569i | ||||
\(703\) | 4.85238 | − | 6.08469i | 0.00690239 | − | 0.00865532i | ||||
\(704\) | −471.791 | + | 750.852i | −0.670158 | + | 1.06655i | ||||
\(705\) | 204.145 | − | 46.5948i | 0.289567 | − | 0.0660918i | ||||
\(706\) | 40.5597 | − | 359.978i | 0.0574500 | − | 0.509883i | ||||
\(707\) | −5.61228 | − | 8.93189i | −0.00793816 | − | 0.0126335i | ||||
\(708\) | 0.433862 | + | 0.433862i | 0.000612800 | + | 0.000612800i | ||||
\(709\) | 1016.73 | + | 232.062i | 1.43403 | + | 0.327309i | 0.867791 | − | 0.496929i | \(-0.165539\pi\) |
0.566243 | + | 0.824238i | \(0.308396\pi\) | |||||||
\(710\) | 73.1969 | − | 209.185i | 0.103094 | − | 0.294626i | ||||
\(711\) | 470.516 | + | 164.641i | 0.661767 | + | 0.231562i | ||||
\(712\) | 158.310 | − | 693.601i | 0.222345 | − | 0.974159i | ||||
\(713\) | −1204.66 | + | 1204.66i | −1.68956 | + | 1.68956i | ||||
\(714\) | 53.0820 | − | 33.3536i | 0.0743445 | − | 0.0467138i | ||||
\(715\) | −91.9667 | − | 10.3622i | −0.128625 | − | 0.0144925i | ||||
\(716\) | −23.8865 | − | 104.653i | −0.0333610 | − | 0.146164i | ||||
\(717\) | 0.190246 | + | 0.119539i | 0.000265336 | + | 0.000166722i | ||||
\(718\) | −239.565 | − | 191.047i | −0.333656 | − | 0.266082i | ||||
\(719\) | 623.735 | − | 300.375i | 0.867504 | − | 0.417768i | 0.0534590 | − | 0.998570i | \(-0.482975\pi\) |
0.814045 | + | 0.580802i | \(0.197261\pi\) | |||||||
\(720\) | −121.854 | − | 58.6816i | −0.169241 | − | 0.0815022i | ||||
\(721\) | −86.9799 | − | 109.069i | −0.120638 | − | 0.151275i | ||||
\(722\) | −628.511 | + | 70.8162i | −0.870514 | + | 0.0980833i | ||||
\(723\) | −258.123 | − | 737.674i | −0.357017 | − | 1.02030i | ||||
\(724\) | − | 88.9479i | − | 0.122856i | ||||||
\(725\) | −356.517 | + | 507.331i | −0.491747 | + | 0.699768i | ||||
\(726\) | 100.071 | 0.137838 | ||||||||
\(727\) | −280.613 | + | 98.1906i | −0.385987 | + | 0.135063i | −0.516295 | − | 0.856411i | \(-0.672689\pi\) |
0.130308 | + | 0.991474i | \(0.458403\pi\) | |||||||
\(728\) | 7.55693 | + | 67.0696i | 0.0103804 | + | 0.0921286i | ||||
\(729\) | −229.468 | + | 182.994i | −0.314770 | + | 0.251021i | ||||
\(730\) | −116.993 | + | 242.938i | −0.160264 | + | 0.332791i | ||||
\(731\) | −72.7991 | − | 151.169i | −0.0995884 | − | 0.206797i | ||||
\(732\) | 60.3410 | − | 75.6652i | 0.0824331 | − | 0.103368i | ||||
\(733\) | −270.527 | + | 430.541i | −0.369068 | + | 0.587369i | −0.978695 | − | 0.205320i | \(-0.934177\pi\) |
0.609627 | + | 0.792689i | \(0.291319\pi\) | |||||||
\(734\) | −467.765 | + | 106.764i | −0.637282 | + | 0.145455i | ||||
\(735\) | −15.9522 | + | 141.579i | −0.0217036 | + | 0.192625i | ||||
\(736\) | −229.746 | − | 365.638i | −0.312154 | − | 0.496791i | ||||
\(737\) | 196.928 | + | 196.928i | 0.267202 | + | 0.267202i | ||||
\(738\) | −389.970 | − | 89.0082i | −0.528415 | − | 0.120607i | ||||
\(739\) | −123.481 | + | 352.888i | −0.167092 | + | 0.477521i | −0.996732 | − | 0.0807770i | \(-0.974260\pi\) |
0.829640 | + | 0.558298i | \(0.188546\pi\) | |||||||
\(740\) | 93.8925 | + | 32.8544i | 0.126882 | + | 0.0443978i | ||||
\(741\) | 0.200161 | − | 0.876962i | 0.000270123 | − | 0.00118348i | ||||
\(742\) | −80.7858 | + | 80.7858i | −0.108876 | + | 0.108876i | ||||
\(743\) | −61.7282 | + | 38.7864i | −0.0830797 | + | 0.0522024i | −0.572931 | − | 0.819603i | \(-0.694194\pi\) |
0.489852 | + | 0.871806i | \(0.337051\pi\) | |||||||
\(744\) | −820.332 | − | 92.4292i | −1.10260 | − | 0.124233i | ||||
\(745\) | 105.810 | + | 463.583i | 0.142027 | + | 0.622260i | ||||
\(746\) | 72.4306 | + | 45.5112i | 0.0970920 | + | 0.0610069i | ||||
\(747\) | −534.444 | − | 426.205i | −0.715454 | − | 0.570556i | ||||
\(748\) | 112.145 | − | 54.0062i | 0.149926 | − | 0.0722008i | ||||
\(749\) | −147.782 | − | 71.1679i | −0.197305 | − | 0.0950172i | ||||
\(750\) | 160.444 | + | 201.191i | 0.213926 | + | 0.268254i | ||||
\(751\) | −690.638 | + | 77.8162i | −0.919624 | + | 0.103617i | −0.559069 | − | 0.829121i | \(-0.688841\pi\) |
−0.360555 | + | 0.932738i | \(0.617413\pi\) | |||||||
\(752\) | 249.312 | + | 712.494i | 0.331533 | + | 0.947466i | ||||
\(753\) | 460.710i | 0.611833i | ||||||||
\(754\) | −76.7475 | − | 182.930i | −0.101787 | − | 0.242612i | ||||
\(755\) | −357.789 | −0.473892 | ||||||||
\(756\) | −44.5381 | + | 15.5845i | −0.0589128 | + | 0.0206145i | ||||
\(757\) | −10.1618 | − | 90.1883i | −0.0134238 | − | 0.119139i | 0.985213 | − | 0.171333i | \(-0.0548073\pi\) |
−0.998637 | + | 0.0521936i | \(0.983379\pi\) | |||||||
\(758\) | 227.001 | − | 181.027i | 0.299474 | − | 0.238822i | ||||
\(759\) | −267.117 | + | 554.675i | −0.351933 | + | 0.730797i | ||||
\(760\) | 0.986704 | + | 2.04891i | 0.00129829 | + | 0.00269594i | ||||
\(761\) | 135.413 | − | 169.803i | 0.177941 | − | 0.223131i | −0.684860 | − | 0.728675i | \(-0.740137\pi\) |
0.862801 | + | 0.505543i | \(0.168708\pi\) | |||||||
\(762\) | 139.571 | − | 222.126i | 0.183164 | − | 0.291504i | ||||
\(763\) | 194.782 | − | 44.4578i | 0.255285 | − | 0.0582670i | ||||
\(764\) | 6.21225 | − | 55.1352i | 0.00813121 | − | 0.0721665i | ||||
\(765\) | 67.6973 | + | 107.740i | 0.0884932 | + | 0.140836i | ||||
\(766\) | 202.100 | + | 202.100i | 0.263838 | + | 0.263838i | ||||
\(767\) | −1.50849 | − | 0.344302i | −0.00196673 | − | 0.000448894i | ||||
\(768\) | 92.4575 | − | 264.228i | 0.120387 | − | 0.344047i | ||||
\(769\) | 768.761 | + | 269.001i | 0.999689 | + | 0.349806i | 0.780011 | − | 0.625766i | \(-0.215214\pi\) |
0.219678 | + | 0.975572i | \(0.429499\pi\) | |||||||
\(770\) | −18.4972 | + | 81.0417i | −0.0240224 | + | 0.105249i | ||||
\(771\) | 484.958 | − | 484.958i | 0.628999 | − | 0.628999i | ||||
\(772\) | 241.149 | − | 151.524i | 0.312369 | − | 0.196274i | ||||
\(773\) | 247.757 | + | 27.9155i | 0.320514 | + | 0.0361132i | 0.270756 | − | 0.962648i | \(-0.412726\pi\) |
0.0497581 | + | 0.998761i | \(0.484155\pi\) | |||||||
\(774\) | −37.9416 | − | 166.233i | −0.0490202 | − | 0.214772i | ||||
\(775\) | −1039.36 | − | 653.074i | −1.34111 | − | 0.842676i | ||||
\(776\) | 1178.57 | + | 939.878i | 1.51878 | + | 1.21118i | ||||
\(777\) | −168.788 | + | 81.2839i | −0.217230 | + | 0.104612i | ||||
\(778\) | −690.326 | − | 332.443i | −0.887308 | − | 0.427305i | ||||
\(779\) | 3.16275 | + | 3.96597i | 0.00406002 | + | 0.00509110i | ||||
\(780\) | 11.4250 | − | 1.28729i | 0.0146474 | − | 0.00165037i | ||||
\(781\) | 273.701 | + | 782.192i | 0.350449 | + | 1.00153i | ||||
\(782\) | − | 558.402i | − | 0.714070i | ||||||
\(783\) | 597.649 | − | 428.150i | 0.763281 | − | 0.546807i | ||||
\(784\) | −513.613 | −0.655119 | ||||||||
\(785\) | −64.6968 | + | 22.6384i | −0.0824163 | + | 0.0288387i | ||||
\(786\) | 44.9143 | + | 398.626i | 0.0571429 | + | 0.507157i | ||||
\(787\) | −430.893 | + | 343.626i | −0.547513 | + | 0.436627i | −0.857776 | − | 0.514024i | \(-0.828154\pi\) |
0.310263 | + | 0.950651i | \(0.399583\pi\) | |||||||
\(788\) | −29.7520 | + | 61.7806i | −0.0377563 | + | 0.0784018i | ||||
\(789\) | −61.5712 | − | 127.854i | −0.0780370 | − | 0.162046i | ||||
\(790\) | −166.301 | + | 208.535i | −0.210507 | + | 0.263968i | ||||
\(791\) | −57.8387 | + | 92.0498i | −0.0731210 | + | 0.116371i | ||||
\(792\) | 653.721 | − | 149.208i | 0.825406 | − | 0.188393i | ||||
\(793\) | −27.3253 | + | 242.519i | −0.0344582 | + | 0.305825i | ||||
\(794\) | −95.4538 | − | 151.914i | −0.120219 | − | 0.191327i | ||||
\(795\) | 72.9496 | + | 72.9496i | 0.0917605 | + | 0.0917605i | ||||
\(796\) | −227.917 | − | 52.0206i | −0.286328 | − | 0.0653525i | ||||
\(797\) | 47.2308 | − | 134.978i | 0.0592607 | − | 0.169357i | −0.910447 | − | 0.413626i | \(-0.864262\pi\) |
0.969708 | + | 0.244269i | \(0.0785478\pi\) | |||||||
\(798\) | −0.762593 | − | 0.266843i | −0.000955630 | − | 0.000334389i | ||||
\(799\) | 158.030 | − | 692.374i | 0.197785 | − | 0.866551i | ||||
\(800\) | 220.009 | − | 220.009i | 0.275011 | − | 0.275011i | ||||
\(801\) | −434.379 | + | 272.938i | −0.542296 | + | 0.340747i | ||||
\(802\) | 236.795 | + | 26.6804i | 0.295256 | + | 0.0332674i | ||||
\(803\) | −224.357 | − | 982.971i | −0.279398 | − | 1.22412i | ||||
\(804\) | −29.2947 | − | 18.4071i | −0.0364363 | − | 0.0228944i | ||||
\(805\) | −88.3246 | − | 70.4365i | −0.109720 | − | 0.0874987i | ||||
\(806\) | 353.821 | − | 170.391i | 0.438984 | − | 0.211403i | ||||
\(807\) | 536.983 | + | 258.598i | 0.665407 | + | 0.320443i | ||||
\(808\) | −28.3873 | − | 35.5965i | −0.0351328 | − | 0.0440551i | ||||
\(809\) | 711.150 | − | 80.1274i | 0.879049 | − | 0.0990450i | 0.339107 | − | 0.940748i | \(-0.389875\pi\) |
0.539941 | + | 0.841703i | \(0.318446\pi\) | |||||||
\(810\) | 15.2539 | + | 43.5933i | 0.0188320 | + | 0.0538189i | ||||
\(811\) | 593.293i | 0.731557i | 0.930702 | + | 0.365778i | \(0.119197\pi\) | ||||
−0.930702 | + | 0.365778i | \(0.880803\pi\) | |||||||
\(812\) | 51.7995 | − | 15.1784i | 0.0637924 | − | 0.0186926i | ||||
\(813\) | −94.8821 | −0.116706 | ||||||||
\(814\) | 1158.94 | − | 405.529i | 1.42375 | − | 0.498193i | ||||
\(815\) | 33.2960 | + | 295.511i | 0.0408540 | + | 0.362590i | ||||
\(816\) | 159.552 | − | 127.239i | 0.195530 | − | 0.155930i | ||||
\(817\) | −0.938200 | + | 1.94819i | −0.00114835 | + | 0.00238457i | ||||
\(818\) | −262.347 | − | 544.770i | −0.320718 | − | 0.665978i | ||||
\(819\) | 30.3448 | − | 38.0511i | 0.0370510 | − | 0.0464605i | ||||
\(820\) | −34.4954 | + | 54.8991i | −0.0420675 | + | 0.0669501i | ||||
\(821\) | 431.885 | − | 98.5750i | 0.526048 | − | 0.120067i | 0.0487542 | − | 0.998811i | \(-0.484475\pi\) |
0.477294 | + | 0.878744i | \(0.341618\pi\) | |||||||
\(822\) | 38.7003 | − | 343.474i | 0.0470806 | − | 0.417852i | ||||
\(823\) | −352.647 | − | 561.235i | −0.428490 | − | 0.681938i | 0.560792 | − | 0.827957i | \(-0.310497\pi\) |
−0.989282 | + | 0.146019i | \(0.953354\pi\) | |||||||
\(824\) | −425.762 | − | 425.762i | −0.516702 | − | 0.516702i | ||||
\(825\) | −432.461 | − | 98.7065i | −0.524195 | − | 0.119644i | ||||
\(826\) | −0.459003 | + | 1.31176i | −0.000555694 | + | 0.00158808i | ||||
\(827\) | 64.8282 | + | 22.6844i | 0.0783896 | + | 0.0274297i | 0.369189 | − | 0.929354i | \(-0.379636\pi\) |
−0.290799 | + | 0.956784i | \(0.593921\pi\) | |||||||
\(828\) | −38.2530 | + | 167.597i | −0.0461993 | + | 0.202412i | ||||
\(829\) | −480.642 | + | 480.642i | −0.579785 | + | 0.579785i | −0.934844 | − | 0.355059i | \(-0.884461\pi\) |
0.355059 | + | 0.934844i | \(0.384461\pi\) | |||||||
\(830\) | 309.699 | − | 194.597i | 0.373132 | − | 0.234454i | ||||
\(831\) | −366.817 | − | 41.3304i | −0.441417 | − | 0.0497357i | ||||
\(832\) | 61.8173 | + | 270.839i | 0.0742997 | + | 0.325528i | ||||
\(833\) | 409.151 | + | 257.086i | 0.491177 | + | 0.308627i | ||||
\(834\) | 503.625 | + | 401.627i | 0.603867 | + | 0.481568i | ||||
\(835\) | −349.328 | + | 168.228i | −0.418357 | + | 0.201470i | ||||
\(836\) | −1.44527 | − | 0.696006i | −0.00172879 | − | 0.000832543i | ||||
\(837\) | 907.420 | + | 1137.87i | 1.08413 | + | 1.35946i | ||||
\(838\) | 357.409 | − | 40.2704i | 0.426503 | − | 0.0480553i | ||||
\(839\) | −372.807 | − | 1065.42i | −0.444347 | − | 1.26987i | −0.920581 | − | 0.390551i | \(-0.872284\pi\) |
0.476235 | − | 0.879318i | \(-0.342001\pi\) | |||||||
\(840\) | − | 54.7418i | − | 0.0651688i | ||||||
\(841\) | −708.000 | + | 453.891i | −0.841855 | + | 0.539704i | ||||
\(842\) | −55.7592 | −0.0662224 | ||||||||
\(843\) | −94.7285 | + | 33.1469i | −0.112371 | + | 0.0393202i | ||||
\(844\) | 19.2531 | + | 170.876i | 0.0228118 | + | 0.202460i | ||||
\(845\) | 228.663 | − | 182.353i | 0.270608 | − | 0.215802i | ||||
\(846\) | 313.137 | − | 650.235i | 0.370138 | − | 0.768600i | ||||
\(847\) | −29.7922 | − | 61.8642i | −0.0351738 | − | 0.0730392i | ||||
\(848\) | −231.880 | + | 290.769i | −0.273444 | + | 0.342888i | ||||
\(849\) | 97.6447 | − | 155.401i | 0.115011 | − | 0.183040i | ||||
\(850\) | 392.253 | − | 89.5291i | 0.461474 | − | 0.105328i | ||||
\(851\) | −186.833 | + | 1658.19i | −0.219545 | + | 1.94852i | ||||
\(852\) | −54.7720 | − | 87.1691i | −0.0642863 | − | 0.102311i | ||||
\(853\) | 148.998 | + | 148.998i | 0.174675 | + | 0.174675i | 0.789030 | − | 0.614355i | \(-0.210584\pi\) |
−0.614355 | + | 0.789030i | \(0.710584\pi\) | |||||||
\(854\) | 213.710 | + | 48.7778i | 0.250245 | + | 0.0571169i | ||||
\(855\) | 0.541606 | − | 1.54782i | 0.000633458 | − | 0.00181032i | ||||
\(856\) | −668.224 | − | 233.822i | −0.780635 | − | 0.273156i | ||||
\(857\) | 267.356 | − | 1171.36i | 0.311968 | − | 1.36682i | −0.539311 | − | 0.842106i | \(-0.681315\pi\) |
0.851279 | − | 0.524713i | \(-0.175827\pi\) | |||||||
\(858\) | 100.348 | − | 100.348i | 0.116956 | − | 0.116956i | ||||
\(859\) | −558.360 | + | 350.841i | −0.650012 | + | 0.408430i | −0.816284 | − | 0.577650i | \(-0.803970\pi\) |
0.166272 | + | 0.986080i | \(0.446827\pi\) | |||||||
\(860\) | −27.4644 | − | 3.09449i | −0.0319353 | − | 0.00359825i | ||||
\(861\) | −27.1714 | − | 119.046i | −0.0315580 | − | 0.138265i | ||||
\(862\) | −963.513 | − | 605.416i | −1.11776 | − | 0.702338i | ||||
\(863\) | 158.577 | + | 126.461i | 0.183751 | + | 0.146537i | 0.711046 | − | 0.703146i | \(-0.248222\pi\) |
−0.527294 | + | 0.849683i | \(0.676793\pi\) | |||||||
\(864\) | −332.368 | + | 160.060i | −0.384686 | + | 0.185255i | ||||
\(865\) | 185.460 | + | 89.3130i | 0.214405 | + | 0.103252i | ||||
\(866\) | 325.334 | + | 407.956i | 0.375674 | + | 0.471081i | ||||
\(867\) | 287.279 | − | 32.3686i | 0.331349 | − | 0.0373341i | ||||
\(868\) | 35.2920 | + | 100.859i | 0.0406589 | + | 0.116197i | ||||
\(869\) | − | 997.352i | − | 1.14770i | ||||||
\(870\) | 45.2437 | + | 154.404i | 0.0520042 | + | 0.177476i | ||||
\(871\) | 87.2468 | 0.100169 | ||||||||
\(872\) | 813.931 | − | 284.807i | 0.933408 | − | 0.326613i | ||||
\(873\) | −121.706 | − | 1080.17i | −0.139411 | − | 1.23731i | ||||
\(874\) | −5.62639 | + | 4.48689i | −0.00643752 | + | 0.00513375i | ||||
\(875\) | 76.6110 | − | 159.084i | 0.0875554 | − | 0.181811i | ||||
\(876\) | 54.3459 | + | 112.850i | 0.0620387 | + | 0.128825i | ||||
\(877\) | −860.525 | + | 1079.06i | −0.981215 | + | 1.23040i | −0.00812735 | + | 0.999967i | \(0.502587\pi\) |
−0.973087 | + | 0.230437i | \(0.925984\pi\) | |||||||
\(878\) | −124.190 | + | 197.647i | −0.141446 | + | 0.225110i | ||||
\(879\) | 397.004 | − | 90.6136i | 0.451654 | − | 0.103087i | ||||
\(880\) | −30.2971 | + | 268.894i | −0.0344285 | + | 0.305561i | ||||
\(881\) | 440.390 | + | 700.877i | 0.499875 | + | 0.795547i | 0.997412 | − | 0.0718957i | \(-0.0229049\pi\) |
−0.497537 | + | 0.867443i | \(0.665762\pi\) | |||||||
\(882\) | 347.231 | + | 347.231i | 0.393686 | + | 0.393686i | ||||
\(883\) | 498.415 | + | 113.760i | 0.564457 | + | 0.128834i | 0.495221 | − | 0.868767i | \(-0.335087\pi\) |
0.0692353 | + | 0.997600i | \(0.477944\pi\) | |||||||
\(884\) | 12.8789 | − | 36.8057i | 0.0145689 | − | 0.0416355i | ||||
\(885\) | 1.18452 | + | 0.414480i | 0.00133844 | + | 0.000468339i | ||||
\(886\) | −127.614 | + | 559.113i | −0.144034 | + | 0.631053i | ||||
\(887\) | 62.2928 | − | 62.2928i | 0.0702286 | − | 0.0702286i | −0.671120 | − | 0.741349i | \(-0.734187\pi\) |
0.741349 | + | 0.671120i | \(0.234187\pi\) | |||||||
\(888\) | −684.646 | + | 430.191i | −0.770997 | + | 0.484450i | ||||
\(889\) | −178.872 | − | 20.1540i | −0.201205 | − | 0.0226704i | ||||
\(890\) | −61.0810 | − | 267.613i | −0.0686304 | − | 0.300689i | ||||
\(891\) | −146.227 | − | 91.8803i | −0.164115 | − | 0.103120i | ||||
\(892\) | 49.5085 | + | 39.4817i | 0.0555028 | + | 0.0442620i | ||||
\(893\) | −8.24607 | + | 3.97110i | −0.00923413 | + | 0.00444692i | ||||
\(894\) | −656.930 | − | 316.361i | −0.734821 | − | 0.353871i | ||||
\(895\) | −136.888 | − | 171.652i | −0.152948 | − | 0.191790i | ||||
\(896\) | 132.192 | − | 14.8945i | 0.147536 | − | 0.0166233i | ||||
\(897\) | 63.6996 | + | 182.043i | 0.0710141 | + | 0.202947i | ||||
\(898\) | − | 390.674i | − | 0.435049i | ||||||
\(899\) | −969.567 | − | 1353.41i | −1.07849 | − | 1.50546i | ||||
\(900\) | −123.863 | −0.137625 | ||||||||
\(901\) | 330.262 | − | 115.564i | 0.366550 | − | 0.128261i | ||||
\(902\) | 89.6049 | + | 795.266i | 0.0993403 | + | 0.881669i | ||||
\(903\) | 40.6950 | − | 32.4531i | 0.0450664 | − | 0.0359393i | ||||
\(904\) | −203.586 | + | 422.750i | −0.225205 | + | 0.467644i | ||||
\(905\) | −78.9342 | − | 163.908i | −0.0872201 | − | 0.181114i | ||||
\(906\) | 342.066 | − | 428.937i | 0.377556 | − | 0.473441i | ||||
\(907\) | 689.223 | − | 1096.89i | 0.759893 | − | 1.20936i | −0.212761 | − | 0.977104i | \(-0.568245\pi\) |
0.972654 | − | 0.232259i | \(-0.0746117\pi\) | |||||||
\(908\) | −96.0150 | + | 21.9148i | −0.105743 | + | 0.0241352i | ||||
\(909\) | −3.67590 | + | 32.6245i | −0.00404390 | + | 0.0358906i | ||||
\(910\) | 13.8548 | + | 22.0498i | 0.0152251 | + | 0.0242306i | ||||
\(911\) | 873.971 | + | 873.971i | 0.959354 | + | 0.959354i | 0.999206 | − | 0.0398518i | \(-0.0126886\pi\) |
−0.0398518 | + | 0.999206i | \(0.512689\pi\) | |||||||
\(912\) | −2.56408 | − | 0.585234i | −0.00281149 | − | 0.000641704i | ||||
\(913\) | −451.713 | + | 1290.92i | −0.494757 | + | 1.41393i | ||||
\(914\) | −1282.34 | − | 448.709i | −1.40299 | − | 0.490929i | ||||
\(915\) | 44.0463 | − | 192.980i | 0.0481381 | − | 0.210907i | ||||
\(916\) | −209.761 | + | 209.761i | −0.228997 | + | 0.228997i | ||||
\(917\) | 233.061 | − | 146.442i | 0.254156 | − | 0.159697i | ||||
\(918\) | −474.033 | − | 53.4107i | −0.516376 | − | 0.0581816i | ||||
\(919\) | −144.438 | − | 632.826i | −0.157169 | − | 0.688603i | −0.990693 | − | 0.136119i | \(-0.956537\pi\) |
0.833523 | − | 0.552484i | \(-0.186320\pi\) | |||||||
\(920\) | −412.860 | − | 259.417i | −0.448761 | − | 0.281975i | ||||
\(921\) | 173.802 | + | 138.603i | 0.188710 | + | 0.150491i | ||||
\(922\) | −771.152 | + | 371.367i | −0.836390 | + | 0.402784i | ||||
\(923\) | 233.901 | + | 112.641i | 0.253414 | + | 0.122038i | ||||
\(924\) | 24.0754 | + | 30.1897i | 0.0260557 | + | 0.0326728i | ||||
\(925\) | −1194.76 | + | 134.617i | −1.29163 | + | 0.145532i | ||||
\(926\) | 446.066 | + | 1274.78i | 0.481713 | + | 1.37666i | ||||
\(927\) | 434.182i | 0.468373i | ||||||||
\(928\) | 389.136 | − | 163.261i | 0.419328 | − | 0.175928i | ||||
\(929\) | 668.417 | 0.719502 | 0.359751 | − | 0.933048i | \(-0.382862\pi\) | ||||
0.359751 | + | 0.933048i | \(0.382862\pi\) | |||||||
\(930\) | −300.639 | + | 105.198i | −0.323268 | + | 0.113116i | ||||
\(931\) | −0.697254 | − | 6.18830i | −0.000748930 | − | 0.00664694i | ||||
\(932\) | 203.126 | − | 161.988i | 0.217946 | − | 0.173806i | ||||
\(933\) | −126.139 | + | 261.929i | −0.135197 | + | 0.280739i | ||||
\(934\) | 635.511 | + | 1319.65i | 0.680418 | + | 1.41290i | ||||
\(935\) | 158.729 | − | 199.039i | 0.169763 | − | 0.212876i | ||||
\(936\) | 111.760 | − | 177.865i | 0.119401 | − | 0.190026i | ||||
\(937\) | −835.313 | + | 190.655i | −0.891476 | + | 0.203474i | −0.643640 | − | 0.765328i | \(-0.722577\pi\) |
−0.247836 | + | 0.968802i | \(0.579719\pi\) | |||||||
\(938\) | 8.77397 | − | 77.8712i | 0.00935391 | − | 0.0830183i | ||||
\(939\) | 1.28584 | + | 2.04640i | 0.00136937 | + | 0.00217934i | ||||
\(940\) | −82.7198 | − | 82.7198i | −0.0879998 | − | 0.0879998i | ||||
\(941\) | 261.558 | + | 59.6989i | 0.277957 | + | 0.0634419i | 0.359227 | − | 0.933250i | \(-0.383040\pi\) |
−0.0812697 | + | 0.996692i | \(0.525898\pi\) | |||||||
\(942\) | 34.7136 | − | 99.2057i | 0.0368509 | − | 0.105314i | ||||
\(943\) | −1026.60 | − | 359.223i | −1.08866 | − | 0.380937i | ||||
\(944\) | −1.00668 | + | 4.41054i | −0.00106640 | + | 0.00467218i | ||||
\(945\) | −68.2423 | + | 68.2423i | −0.0722141 | + | 0.0722141i | ||||
\(946\) | −288.855 | + | 181.499i | −0.305343 | + | 0.191860i | ||||
\(947\) | 79.3679 | + | 8.94261i | 0.0838098 | + | 0.00944310i | 0.153770 | − | 0.988107i | \(-0.450859\pi\) |
−0.0699600 | + | 0.997550i | \(0.522287\pi\) | |||||||
\(948\) | 27.5705 | + | 120.794i | 0.0290828 | + | 0.127420i | ||||
\(949\) | −267.447 | − | 168.048i | −0.281820 | − | 0.177079i | ||||
\(950\) | −4.05392 | − | 3.23290i | −0.00426729 | − | 0.00340305i | ||||
\(951\) | −129.065 | + | 62.1545i | −0.135715 | + | 0.0653570i | ||||
\(952\) | −167.275 | − | 80.5554i | −0.175709 | − | 0.0846170i | ||||
\(953\) | 355.706 | + | 446.041i | 0.373249 | + | 0.468039i | 0.932610 | − | 0.360885i | \(-0.117525\pi\) |
−0.559362 | + | 0.828924i | \(0.688954\pi\) | |||||||
\(954\) | 353.340 | − | 39.8119i | 0.370378 | − | 0.0417315i | ||||
\(955\) | −37.4805 | − | 107.113i | −0.0392466 | − | 0.112160i | ||||
\(956\) | − | 0.125525i | − | 0.000131303i | ||||||
\(957\) | −492.241 | − | 345.912i | −0.514359 | − | 0.361455i | ||||
\(958\) | −1303.03 | −1.36016 | ||||||||
\(959\) | −223.859 | + | 78.3318i | −0.233430 | + | 0.0816807i | ||||
\(960\) | −25.2275 | − | 223.900i | −0.0262786 | − | 0.233229i | ||||
\(961\) | 1825.42 | − | 1455.72i | 1.89950 | − | 1.51480i | ||||
\(962\) | 166.894 | − | 346.560i | 0.173487 | − | 0.360249i | ||||
\(963\) | 221.496 | + | 459.942i | 0.230006 | + | 0.477613i | ||||
\(964\) | −272.229 | + | 341.364i | −0.282395 | + | 0.354112i | ||||
\(965\) | 309.911 | − | 493.220i | 0.321151 | − | 0.511109i | ||||
\(966\) | 168.886 | − | 38.5472i | 0.174831 | − | 0.0399040i | ||||
\(967\) | 45.6064 | − | 404.768i | 0.0471627 | − | 0.418581i | −0.947841 | − | 0.318743i | \(-0.896739\pi\) |
0.995004 | − | 0.0998374i | \(-0.0318323\pi\) | |||||||
\(968\) | −157.674 | − | 250.937i | −0.162886 | − | 0.259232i | ||||
\(969\) | 1.74964 | + | 1.74964i | 0.00180562 | + | 0.00180562i | ||||
\(970\) | 567.039 | + | 129.423i | 0.584576 | + | 0.133426i | ||||
\(971\) | 618.736 | − | 1768.25i | 0.637215 | − | 1.82106i | 0.0699011 | − | 0.997554i | \(-0.477732\pi\) |
0.567314 | − | 0.823502i | \(-0.307983\pi\) | |||||||
\(972\) | 220.536 | + | 77.1689i | 0.226889 | + | 0.0793919i | ||||
\(973\) | 98.3531 | − | 430.913i | 0.101082 | − | 0.442871i | ||||
\(974\) | −1112.32 | + | 1112.32i | −1.14201 | + | 1.14201i | ||||
\(975\) | −117.664 | + | 73.9332i | −0.120681 | + | 0.0758290i | ||||
\(976\) | 709.082 | + | 79.8944i | 0.726518 | + | 0.0818590i | ||||
\(977\) | −54.5234 | − | 238.883i | −0.0558070 | − | 0.244506i | 0.939329 | − | 0.343018i | \(-0.111449\pi\) |
−0.995136 | + | 0.0985113i | \(0.968592\pi\) | |||||||
\(978\) | −386.107 | − | 242.607i | −0.394793 | − | 0.248065i | ||||
\(979\) | 802.476 | + | 639.953i | 0.819690 | + | 0.653681i | ||||
\(980\) | 71.7146 | − | 34.5359i | 0.0731782 | − | 0.0352407i | ||||
\(981\) | −560.233 | − | 269.794i | −0.571083 | − | 0.275019i | ||||
\(982\) | 479.312 | + | 601.038i | 0.488097 | + | 0.612055i | ||||
\(983\) | −382.791 | + | 43.1302i | −0.389411 | + | 0.0438761i | −0.304500 | − | 0.952512i | \(-0.598489\pi\) |
−0.0849113 | + | 0.996389i | \(0.527061\pi\) | |||||||
\(984\) | −174.067 | − | 497.454i | −0.176897 | − | 0.505542i | ||||
\(985\) | 140.249i | 0.142384i | ||||||||
\(986\) | 538.391 | + | 88.9616i | 0.546036 | + | 0.0902247i | ||||
\(987\) | 220.315 | 0.223216 | ||||||||
\(988\) | −0.474335 | + | 0.165977i | −0.000480096 | + | 0.000167993i | ||||
\(989\) | −51.9099 | − | 460.713i | −0.0524872 | − | 0.465837i | ||||
\(990\) | 202.270 | − | 161.305i | 0.204313 | − | 0.162934i | ||||
\(991\) | −40.0738 | + | 83.2140i | −0.0404377 | + | 0.0839697i | −0.920209 | − | 0.391428i | \(-0.871981\pi\) |
0.879771 | + | 0.475397i | \(0.157696\pi\) | |||||||
\(992\) | 362.464 | + | 752.664i | 0.365387 | + | 0.758734i | ||||
\(993\) | 390.889 | − | 490.159i | 0.393645 | − | 0.493615i | ||||
\(994\) | 124.058 | − | 197.438i | 0.124807 | − | 0.198630i | ||||
\(995\) | −466.157 | + | 106.397i | −0.468500 | + | 0.106932i | ||||
\(996\) | 19.0234 | − | 168.837i | 0.0190998 | − | 0.169515i | ||||
\(997\) | 837.945 | + | 1333.58i | 0.840466 | + | 1.33759i | 0.939514 | + | 0.342511i | \(0.111277\pi\) |
−0.0990478 | + | 0.995083i | \(0.531580\pi\) | |||||||
\(998\) | 786.654 | + | 786.654i | 0.788231 | + | 0.788231i | ||||
\(999\) | 1389.78 | + | 317.208i | 1.39117 | + | 0.317526i |
(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 | 29.3.f.a.11.4 | yes | 48 | |
3.2 | odd | 2 | 261.3.s.a.127.1 | 48 | |||
29.8 | odd | 28 | inner | 29.3.f.a.8.4 | ✓ | 48 | |
87.8 | even | 28 | 261.3.s.a.37.1 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.3.f.a.8.4 | ✓ | 48 | 29.8 | odd | 28 | inner | |
29.3.f.a.11.4 | yes | 48 | 1.1 | even | 1 | trivial | |
261.3.s.a.37.1 | 48 | 87.8 | even | 28 | |||
261.3.s.a.127.1 | 48 | 3.2 | odd | 2 |