Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(17,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 25]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bg (of order \(42\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 395.12 | ||
Character | \(\chi\) | \(=\) | 441.395 |
Dual form | 441.2.bg.a.278.12 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{42}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.811510 | + | 0.318494i | 0.573825 | + | 0.225210i | 0.634467 | − | 0.772950i | \(-0.281220\pi\) |
−0.0606424 | + | 0.998160i | \(0.519315\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.908993 | − | 0.843422i | −0.454497 | − | 0.421711i | ||||
\(5\) | −0.228773 | − | 0.155975i | −0.102310 | − | 0.0697540i | 0.511084 | − | 0.859531i | \(-0.329244\pi\) |
−0.613395 | + | 0.789777i | \(0.710196\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.58038 | + | 0.584516i | −0.975291 | + | 0.220926i | ||||
\(8\) | −1.22553 | − | 2.54484i | −0.433290 | − | 0.899735i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.135974 | − | 0.199438i | −0.0429989 | − | 0.0630678i | ||||
\(11\) | −0.640710 | − | 4.25083i | −0.193181 | − | 1.28167i | −0.849660 | − | 0.527330i | \(-0.823193\pi\) |
0.656479 | − | 0.754344i | \(-0.272045\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.73796 | − | 2.98092i | 1.03672 | − | 0.826760i | 0.0516106 | − | 0.998667i | \(-0.483565\pi\) |
0.985113 | + | 0.171908i | \(0.0549931\pi\) | |||||||
\(14\) | −2.28017 | − | 0.347495i | −0.609400 | − | 0.0928719i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.00131931 | + | 0.0176050i | 0.000329828 | + | 0.00440124i | ||||
\(17\) | −5.10459 | − | 1.57456i | −1.23804 | − | 0.381886i | −0.394475 | − | 0.918907i | \(-0.629073\pi\) |
−0.843569 | + | 0.537021i | \(0.819550\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.61087 | − | 0.930035i | 0.369558 | − | 0.213365i | −0.303707 | − | 0.952765i | \(-0.598224\pi\) |
0.673266 | + | 0.739401i | \(0.264891\pi\) | |||||||
\(20\) | 0.0764004 | + | 0.334732i | 0.0170837 | + | 0.0748484i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.833924 | − | 3.65366i | 0.177793 | − | 0.778963i | ||||
\(23\) | −0.312885 | − | 1.01435i | −0.0652411 | − | 0.211506i | 0.917082 | − | 0.398698i | \(-0.130538\pi\) |
−0.982323 | + | 0.187191i | \(0.940062\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.79870 | − | 4.58300i | −0.359739 | − | 0.916601i | ||||
\(26\) | 3.98280 | − | 1.22853i | 0.781092 | − | 0.240935i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.83854 | + | 1.64503i | 0.536433 | + | 0.310881i | ||||
\(29\) | −3.23196 | + | 0.737675i | −0.600161 | + | 0.136983i | −0.511798 | − | 0.859106i | \(-0.671020\pi\) |
−0.0883624 | + | 0.996088i | \(0.528163\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.59195 | + | 2.65116i | 0.824738 | + | 0.476163i | 0.852048 | − | 0.523464i | \(-0.175361\pi\) |
−0.0273093 | + | 0.999627i | \(0.508694\pi\) | |||||||
\(32\) | −1.66964 | + | 5.41284i | −0.295154 | + | 0.956864i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.64094 | − | 2.90355i | −0.624416 | − | 0.497955i | ||||
\(35\) | 0.681490 | + | 0.268752i | 0.115193 | + | 0.0454274i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.88543 | + | 5.46088i | −0.967558 | + | 0.897763i | −0.994798 | − | 0.101866i | \(-0.967519\pi\) |
0.0272397 | + | 0.999629i | \(0.491328\pi\) | |||||||
\(38\) | 1.60345 | − | 0.241681i | 0.260113 | − | 0.0392058i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.116562 | + | 0.773341i | −0.0184301 | + | 0.122276i | ||||
\(41\) | −5.58866 | + | 2.69136i | −0.872802 | + | 0.420319i | −0.815990 | − | 0.578066i | \(-0.803808\pi\) |
−0.0568115 | + | 0.998385i | \(0.518093\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 9.74651 | + | 4.69367i | 1.48633 | + | 0.715778i | 0.988461 | − | 0.151475i | \(-0.0484023\pi\) |
0.497867 | + | 0.867253i | \(0.334117\pi\) | |||||||
\(44\) | −3.00285 | + | 4.40437i | −0.452696 | + | 0.663983i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.0691548 | − | 0.922807i | 0.0101963 | − | 0.136060i | ||||
\(47\) | 3.78553 | − | 9.64538i | 0.552177 | − | 1.40692i | −0.333557 | − | 0.942730i | \(-0.608249\pi\) |
0.885734 | − | 0.464194i | \(-0.153656\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.31668 | − | 3.01654i | 0.902383 | − | 0.430934i | ||||
\(50\) | − | 4.29203i | − | 0.606985i | ||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −5.91196 | − | 0.443040i | −0.819841 | − | 0.0614386i | ||||
\(53\) | −2.18512 | + | 2.35500i | −0.300149 | + | 0.323484i | −0.865060 | − | 0.501668i | \(-0.832720\pi\) |
0.564911 | + | 0.825152i | \(0.308911\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.516445 | + | 1.07241i | −0.0696375 | + | 0.144604i | ||||
\(56\) | 4.64982 | + | 5.85029i | 0.621358 | + | 0.781778i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.85772 | − | 0.430732i | −0.375237 | − | 0.0565578i | ||||
\(59\) | 10.0364 | − | 6.84272i | 1.30663 | − | 0.890847i | 0.308457 | − | 0.951238i | \(-0.400187\pi\) |
0.998175 | + | 0.0603916i | \(0.0192350\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.45959 | + | 5.88404i | 0.699029 | + | 0.753374i | 0.978380 | − | 0.206815i | \(-0.0663098\pi\) |
−0.279351 | + | 0.960189i | \(0.590119\pi\) | |||||||
\(62\) | 2.88203 | + | 3.61396i | 0.366019 | + | 0.458973i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.05688 | + | 3.83320i | −0.382109 | + | 0.479150i | ||||
\(65\) | −1.32009 | + | 0.0989272i | −0.163737 | + | 0.0122704i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.64950 | − | 6.32111i | 0.445857 | − | 0.772247i | −0.552255 | − | 0.833676i | \(-0.686232\pi\) |
0.998111 | + | 0.0614287i | \(0.0195657\pi\) | |||||||
\(68\) | 3.31202 | + | 5.73658i | 0.401641 | + | 0.695663i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.467440 | + | 0.435146i | 0.0558698 | + | 0.0520099i | ||||
\(71\) | −4.23060 | − | 0.965606i | −0.502080 | − | 0.114596i | −0.0360224 | − | 0.999351i | \(-0.511469\pi\) |
−0.466057 | + | 0.884755i | \(0.654326\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.31759 | + | 1.69453i | −0.505336 | + | 0.198330i | −0.604293 | − | 0.796762i | \(-0.706544\pi\) |
0.0989576 | + | 0.995092i | \(0.468449\pi\) | |||||||
\(74\) | −6.51535 | + | 2.55708i | −0.757394 | + | 0.297255i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.24868 | − | 0.513247i | −0.257941 | − | 0.0588734i | ||||
\(77\) | 4.13795 | + | 10.5942i | 0.471563 | + | 1.20733i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.86308 | + | 3.22695i | 0.209613 | + | 0.363060i | 0.951593 | − | 0.307362i | \(-0.0994463\pi\) |
−0.741980 | + | 0.670422i | \(0.766113\pi\) | |||||||
\(80\) | 0.00244411 | − | 0.00423332i | 0.000273259 | − | 0.000473299i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −5.39244 | + | 0.404107i | −0.595495 | + | 0.0446262i | ||||
\(83\) | 0.641843 | − | 0.804845i | 0.0704514 | − | 0.0883433i | −0.745357 | − | 0.666666i | \(-0.767721\pi\) |
0.815808 | + | 0.578322i | \(0.196292\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.922200 | + | 1.15640i | 0.100027 | + | 0.125429i | ||||
\(86\) | 6.41449 | + | 6.91317i | 0.691692 | + | 0.745466i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −10.0325 | + | 6.84002i | −1.06946 | + | 0.729148i | ||||
\(89\) | 15.0504 | + | 2.26848i | 1.59534 | + | 0.240459i | 0.885752 | − | 0.464159i | \(-0.153643\pi\) |
0.709587 | + | 0.704617i | \(0.248881\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −7.90295 | + | 9.87680i | −0.828454 | + | 1.03537i | ||||
\(92\) | −0.571114 | + | 1.18593i | −0.0595427 | + | 0.123642i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 6.14400 | − | 6.62166i | 0.633705 | − | 0.682972i | ||||
\(95\) | −0.513585 | − | 0.0384879i | −0.0526927 | − | 0.00394877i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 10.6247i | − | 1.07877i | −0.842059 | − | 0.539385i | \(-0.818657\pi\) | ||
0.842059 | − | 0.539385i | \(-0.181343\pi\) | |||||||
\(98\) | 6.08681 | − | 0.436126i | 0.614860 | − | 0.0440554i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.23041 | + | 5.68298i | −0.223041 | + | 0.568298i | ||||
\(101\) | 1.24376 | − | 16.5969i | 0.123759 | − | 1.65145i | −0.497220 | − | 0.867624i | \(-0.665646\pi\) |
0.620979 | − | 0.783827i | \(-0.286735\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.06150 | − | 1.55694i | 0.104593 | − | 0.153410i | −0.770374 | − | 0.637592i | \(-0.779931\pi\) |
0.874967 | + | 0.484183i | \(0.160883\pi\) | |||||||
\(104\) | −12.1669 | − | 5.85929i | −1.19307 | − | 0.574550i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.52330 | + | 1.21516i | −0.245085 | + | 0.118027i | ||||
\(107\) | −2.47659 | + | 16.4311i | −0.239421 | + | 1.58845i | 0.469350 | + | 0.883012i | \(0.344488\pi\) |
−0.708770 | + | 0.705439i | \(0.750750\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −14.3027 | + | 2.15578i | −1.36995 | + | 0.206487i | −0.792466 | − | 0.609916i | \(-0.791203\pi\) |
−0.577483 | + | 0.816402i | \(0.695965\pi\) | |||||||
\(110\) | −0.760657 | + | 0.705787i | −0.0725258 | + | 0.0672941i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.0136947 | − | 0.0446563i | −0.00129403 | − | 0.00421962i | ||||
\(113\) | −9.63490 | − | 7.68357i | −0.906375 | − | 0.722810i | 0.0548736 | − | 0.998493i | \(-0.482524\pi\) |
−0.961248 | + | 0.275683i | \(0.911096\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.0866331 | + | 0.280858i | −0.00807858 | + | 0.0261901i | ||||
\(116\) | 3.56000 | + | 2.05537i | 0.330538 | + | 0.190836i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 10.3240 | − | 2.35639i | 0.950405 | − | 0.216924i | ||||
\(119\) | 14.0921 | + | 1.07924i | 1.29182 | + | 0.0989335i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.14777 | + | 2.20480i | −0.649798 | + | 0.200436i | ||||
\(122\) | 2.55648 | + | 6.51381i | 0.231453 | + | 0.589733i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.93800 | − | 6.28284i | −0.174038 | − | 0.564216i | ||||
\(125\) | −0.611403 | + | 2.67873i | −0.0546855 | + | 0.239593i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.70552 | − | 11.8537i | −0.240077 | − | 1.05184i | −0.940947 | − | 0.338555i | \(-0.890062\pi\) |
0.700870 | − | 0.713289i | \(-0.252795\pi\) | |||||||
\(128\) | 6.10966 | − | 3.52741i | 0.540023 | − | 0.311782i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.10278 | − | 0.340162i | −0.0967199 | − | 0.0298341i | ||||
\(131\) | 0.180600 | + | 2.40993i | 0.0157791 | + | 0.210557i | 0.999520 | + | 0.0309660i | \(0.00985836\pi\) |
−0.983741 | + | 0.179591i | \(0.942523\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.61303 | + | 3.34142i | −0.313289 | + | 0.289738i | ||||
\(134\) | 4.97484 | − | 3.96731i | 0.429761 | − | 0.342723i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.24883 | + | 14.9200i | 0.192835 | + | 1.27938i | ||||
\(137\) | 5.24492 | + | 7.69289i | 0.448104 | + | 0.657248i | 0.982126 | − | 0.188222i | \(-0.0602726\pi\) |
−0.534022 | + | 0.845470i | \(0.679320\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.735987 | + | 1.52829i | 0.0624256 | + | 0.129628i | 0.929847 | − | 0.367946i | \(-0.119939\pi\) |
−0.867422 | + | 0.497574i | \(0.834224\pi\) | |||||||
\(140\) | −0.392798 | − | 0.819077i | −0.0331975 | − | 0.0692247i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.12563 | − | 2.13102i | −0.262297 | − | 0.178831i | ||||
\(143\) | −15.0664 | − | 13.9795i | −1.25991 | − | 1.16903i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.854444 | + | 0.335345i | 0.0709577 | + | 0.0278489i | ||||
\(146\) | −4.04347 | −0.334640 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 9.95564 | 0.818349 | ||||||||
\(149\) | −3.50677 | − | 1.37630i | −0.287286 | − | 0.112751i | 0.217322 | − | 0.976100i | \(-0.430268\pi\) |
−0.504608 | + | 0.863349i | \(0.668363\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.76478 | + | 4.42107i | 0.387752 | + | 0.359782i | 0.849829 | − | 0.527058i | \(-0.176705\pi\) |
−0.462077 | + | 0.886840i | \(0.652896\pi\) | |||||||
\(152\) | −4.34095 | − | 2.95961i | −0.352098 | − | 0.240056i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.0162164 | + | 9.91525i | −0.00130675 | + | 0.798994i | ||||
\(155\) | −0.636999 | − | 1.32274i | −0.0511650 | − | 0.106245i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.64517 | − | 2.41302i | −0.131299 | − | 0.192580i | 0.754959 | − | 0.655772i | \(-0.227657\pi\) |
−0.886258 | + | 0.463191i | \(0.846704\pi\) | |||||||
\(158\) | 0.484144 | + | 3.21208i | 0.0385164 | + | 0.255540i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.22623 | − | 0.977890i | 0.0969424 | − | 0.0773090i | ||||
\(161\) | 1.40026 | + | 2.43451i | 0.110356 | + | 0.191867i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.954846 | − | 12.7415i | −0.0747893 | − | 0.997994i | −0.900770 | − | 0.434296i | \(-0.856997\pi\) |
0.825981 | − | 0.563698i | \(-0.190622\pi\) | |||||||
\(164\) | 7.35000 | + | 2.26718i | 0.573939 | + | 0.177037i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.777201 | − | 0.448717i | 0.0603225 | − | 0.0348272i | ||||
\(167\) | −1.13054 | − | 4.95320i | −0.0874835 | − | 0.383290i | 0.912164 | − | 0.409824i | \(-0.134410\pi\) |
−0.999648 | + | 0.0265343i | \(0.991553\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.19367 | − | 9.61109i | 0.168744 | − | 0.739314i | ||||
\(170\) | 0.380067 | + | 1.23215i | 0.0291498 | + | 0.0945014i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −4.90076 | − | 12.4869i | −0.373680 | − | 0.952120i | ||||
\(173\) | 11.6361 | − | 3.58926i | 0.884676 | − | 0.272886i | 0.181065 | − | 0.983471i | \(-0.442046\pi\) |
0.703612 | + | 0.710585i | \(0.251570\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 7.32015 | + | 10.7745i | 0.553351 | + | 0.814476i | ||||
\(176\) | 0.0739905 | − | 0.0168878i | 0.00557724 | − | 0.00127297i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 11.4911 | + | 6.63437i | 0.861291 | + | 0.497267i | ||||
\(179\) | 3.24820 | − | 10.5304i | 0.242782 | − | 0.787081i | −0.749382 | − | 0.662138i | \(-0.769649\pi\) |
0.992164 | − | 0.124942i | \(-0.0398746\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.36313 | + | 4.27695i | 0.398638 | + | 0.317903i | 0.802207 | − | 0.597046i | \(-0.203659\pi\) |
−0.403569 | + | 0.914949i | \(0.632230\pi\) | |||||||
\(182\) | −9.55903 | + | 5.49808i | −0.708562 | + | 0.407545i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.19790 | + | 2.03935i | −0.162031 | + | 0.150343i | ||||
\(185\) | 2.19818 | − | 0.331323i | 0.161614 | − | 0.0243594i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.42262 | + | 22.7076i | −0.250287 | + | 1.66054i | ||||
\(188\) | −11.5762 | + | 5.57478i | −0.844278 | + | 0.406583i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.404521 | − | 0.194807i | −0.0293471 | − | 0.0141328i | ||||
\(191\) | −5.80719 | + | 8.51758i | −0.420193 | + | 0.616311i | −0.976720 | − | 0.214519i | \(-0.931181\pi\) |
0.556526 | + | 0.830830i | \(0.312134\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.73566 | − | 23.1608i | 0.124936 | − | 1.66715i | −0.484860 | − | 0.874592i | \(-0.661130\pi\) |
0.609796 | − | 0.792558i | \(-0.291251\pi\) | |||||||
\(194\) | 3.38389 | − | 8.62202i | 0.242949 | − | 0.619025i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −8.28604 | − | 2.58562i | −0.591860 | − | 0.184687i | ||||
\(197\) | 12.5738i | 0.895847i | 0.894072 | + | 0.447923i | \(0.147836\pi\) | ||||
−0.894072 | + | 0.447923i | \(0.852164\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 22.3916 | + | 1.67802i | 1.58730 | + | 0.118952i | 0.838896 | − | 0.544292i | \(-0.183201\pi\) |
0.748404 | + | 0.663243i | \(0.230821\pi\) | |||||||
\(200\) | −9.45864 | + | 10.1940i | −0.668827 | + | 0.720824i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 6.29534 | − | 13.0724i | 0.442939 | − | 0.919772i | ||||
\(203\) | 7.90850 | − | 3.79261i | 0.555068 | − | 0.266189i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.69832 | + | 0.255980i | 0.118616 | + | 0.0178784i | ||||
\(206\) | 1.35730 | − | 0.925388i | 0.0945673 | − | 0.0644749i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.0574106 | + | 0.0618739i | 0.00398071 | + | 0.00429018i | ||||
\(209\) | −4.98552 | − | 6.25165i | −0.344856 | − | 0.432436i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 6.35501 | − | 7.96894i | 0.437497 | − | 0.548604i | −0.513384 | − | 0.858159i | \(-0.671609\pi\) |
0.950882 | + | 0.309555i | \(0.100180\pi\) | |||||||
\(212\) | 3.97252 | − | 0.297699i | 0.272834 | − | 0.0204461i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −7.24298 | + | 12.5452i | −0.495120 | + | 0.857573i | ||||
\(215\) | −1.49764 | − | 2.59399i | −0.102138 | − | 0.176909i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −13.3986 | − | 4.15693i | −0.909556 | − | 0.282191i | ||||
\(218\) | −12.2934 | − | 2.80589i | −0.832613 | − | 0.190039i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.37394 | − | 0.539232i | 0.0926310 | − | 0.0363550i | ||||
\(221\) | −23.7744 | + | 9.33075i | −1.59924 | + | 0.627654i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −12.5054 | − | 2.85429i | −0.837426 | − | 0.191137i | −0.217760 | − | 0.976002i | \(-0.569875\pi\) |
−0.619666 | + | 0.784865i | \(0.712732\pi\) | |||||||
\(224\) | 1.14441 | − | 14.9431i | 0.0764641 | − | 0.998428i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −5.37164 | − | 9.30396i | −0.357316 | − | 0.618890i | ||||
\(227\) | 1.71216 | − | 2.96554i | 0.113640 | − | 0.196830i | −0.803595 | − | 0.595176i | \(-0.797082\pi\) |
0.917235 | + | 0.398346i | \(0.130416\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 19.3879 | − | 1.45292i | 1.28119 | − | 0.0960118i | 0.583323 | − | 0.812241i | \(-0.301752\pi\) |
0.697866 | + | 0.716229i | \(0.254133\pi\) | |||||||
\(230\) | −0.159755 | + | 0.200327i | −0.0105339 | + | 0.0132092i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 5.83812 | + | 7.32078i | 0.383292 | + | 0.480633i | ||||
\(233\) | −11.1624 | − | 12.0302i | −0.731274 | − | 0.788126i | 0.252489 | − | 0.967600i | \(-0.418751\pi\) |
−0.983763 | + | 0.179474i | \(0.942560\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.37046 | + | 1.61615i | −0.154632 | + | 0.105426i | ||||
\(236\) | −14.8944 | − | 2.24496i | −0.969540 | − | 0.146135i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 11.0922 | + | 5.36407i | 0.718998 | + | 0.347701i | ||||
\(239\) | 8.73850 | − | 18.1457i | 0.565247 | − | 1.17375i | −0.400988 | − | 0.916083i | \(-0.631333\pi\) |
0.966235 | − | 0.257664i | \(-0.0829527\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.89741 | − | 5.27815i | 0.315470 | − | 0.339996i | −0.555333 | − | 0.831628i | \(-0.687409\pi\) |
0.870803 | + | 0.491632i | \(0.163600\pi\) | |||||||
\(242\) | −6.50271 | − | 0.487311i | −0.418010 | − | 0.0313255i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 9.95329i | − | 0.637194i | ||||||
\(245\) | −1.91559 | − | 0.295140i | −0.122383 | − | 0.0188558i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.24900 | − | 8.27831i | 0.206729 | − | 0.526736i | ||||
\(248\) | 1.11921 | − | 14.9348i | 0.0710700 | − | 0.948363i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −1.34932 | + | 1.97909i | −0.0853385 | + | 0.125169i | ||||
\(251\) | −13.6920 | − | 6.59370i | −0.864229 | − | 0.416191i | −0.0513894 | − | 0.998679i | \(-0.516365\pi\) |
−0.812839 | + | 0.582488i | \(0.802079\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.11136 | + | 1.97993i | −0.258479 | + | 0.124477i | ||||
\(254\) | 1.57977 | − | 10.4811i | 0.0991235 | − | 0.657641i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 15.7777 | − | 2.37810i | 0.986106 | − | 0.148632i | ||||
\(257\) | −11.8368 | + | 10.9830i | −0.738361 | + | 0.685099i | −0.956799 | − | 0.290752i | \(-0.906095\pi\) |
0.218437 | + | 0.975851i | \(0.429904\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 11.9946 | − | 17.5312i | 0.745311 | − | 1.08934i | ||||
\(260\) | 1.28339 | + | 1.02347i | 0.0795926 | + | 0.0634730i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.620992 | + | 2.01321i | −0.0383650 | + | 0.124376i | ||||
\(263\) | 11.2661 | + | 6.50450i | 0.694699 | + | 0.401084i | 0.805370 | − | 0.592773i | \(-0.201967\pi\) |
−0.110671 | + | 0.993857i | \(0.535300\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.867217 | − | 0.197937i | 0.0532727 | − | 0.0121591i | ||||
\(266\) | −3.99623 | + | 1.56087i | −0.245025 | + | 0.0957029i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −8.64874 | + | 2.66778i | −0.528306 | + | 0.162961i | ||||
\(269\) | 2.21024 | + | 5.63160i | 0.134761 | + | 0.343365i | 0.982285 | − | 0.187391i | \(-0.0600033\pi\) |
−0.847525 | + | 0.530756i | \(0.821908\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.34986 | + | 7.61806i | 0.142744 | + | 0.462764i | 0.998508 | − | 0.0546014i | \(-0.0173888\pi\) |
−0.855764 | + | 0.517366i | \(0.826913\pi\) | |||||||
\(272\) | 0.0209855 | − | 0.0919434i | 0.00127243 | − | 0.00557489i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.80617 | + | 7.91334i | 0.109115 | + | 0.478062i | ||||
\(275\) | −18.3291 | + | 10.5823i | −1.10529 | + | 0.638139i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 14.6743 | + | 4.52643i | 0.881695 | + | 0.271967i | 0.702360 | − | 0.711821i | \(-0.252129\pi\) |
0.179334 | + | 0.983788i | \(0.442606\pi\) | |||||||
\(278\) | 0.110509 | + | 1.47463i | 0.00662786 | + | 0.0884427i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.151255 | − | 2.06364i | −0.00903921 | − | 0.123326i | ||||
\(281\) | −7.00086 | + | 5.58300i | −0.417636 | + | 0.333054i | −0.809658 | − | 0.586902i | \(-0.800347\pi\) |
0.392022 | + | 0.919956i | \(0.371776\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.90781 | − | 19.2921i | −0.172852 | − | 1.14680i | −0.892032 | − | 0.451972i | \(-0.850721\pi\) |
0.719181 | − | 0.694823i | \(-0.244517\pi\) | |||||||
\(284\) | 3.03117 | + | 4.44591i | 0.179867 | + | 0.263816i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −7.77410 | − | 16.1431i | −0.459692 | − | 0.954561i | ||||
\(287\) | 12.8477 | − | 10.2114i | 0.758376 | − | 0.602758i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 9.53151 | + | 6.49847i | 0.560677 | + | 0.382263i | ||||
\(290\) | 0.586585 | + | 0.544271i | 0.0344455 | + | 0.0319607i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 5.35386 | + | 2.10124i | 0.313311 | + | 0.122966i | ||||
\(293\) | 23.9976 | 1.40195 | 0.700977 | − | 0.713183i | \(-0.252747\pi\) | ||||
0.700977 | + | 0.713183i | \(0.252747\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.36335 | −0.195822 | ||||||||
\(296\) | 21.1098 | + | 8.28499i | 1.22698 | + | 0.481555i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −2.40743 | − | 2.23377i | −0.139459 | − | 0.129399i | ||||
\(299\) | −4.19325 | − | 2.85891i | −0.242502 | − | 0.165335i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −27.8932 | − | 6.41445i | −1.60774 | − | 0.369723i | ||||
\(302\) | 2.45858 | + | 5.10530i | 0.141476 | + | 0.293777i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.0184985 | + | 0.0271323i | 0.00106096 | + | 0.00155614i | ||||
\(305\) | −0.331245 | − | 2.19767i | −0.0189670 | − | 0.125838i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −21.5006 | + | 17.1462i | −1.22711 | + | 0.978584i | −0.227116 | + | 0.973868i | \(0.572930\pi\) |
−0.999989 | + | 0.00471621i | \(0.998499\pi\) | |||||||
\(308\) | 5.17405 | − | 13.1201i | 0.294819 | − | 0.747589i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.0956454 | − | 1.27630i | −0.00543229 | − | 0.0724889i | ||||
\(311\) | 15.0023 | + | 4.62759i | 0.850701 | + | 0.262407i | 0.689294 | − | 0.724481i | \(-0.257921\pi\) |
0.161407 | + | 0.986888i | \(0.448397\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −15.8489 | + | 9.15035i | −0.895831 | + | 0.517209i | −0.875845 | − | 0.482592i | \(-0.839696\pi\) |
−0.0199860 | + | 0.999800i | \(0.506362\pi\) | |||||||
\(314\) | −0.566539 | − | 2.48217i | −0.0319717 | − | 0.140077i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.02815 | − | 4.50464i | 0.0578382 | − | 0.253406i | ||||
\(317\) | 4.14770 | + | 13.4465i | 0.232958 | + | 0.755231i | 0.994275 | + | 0.106851i | \(0.0340769\pi\) |
−0.761317 | + | 0.648380i | \(0.775447\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5.20648 | + | 13.2659i | 0.291507 | + | 0.742748i | ||||
\(320\) | 1.29721 | − | 0.400137i | 0.0725164 | − | 0.0223683i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.360950 | + | 2.42161i | 0.0201149 | + | 0.134951i | ||||
\(323\) | −9.68721 | + | 2.21104i | −0.539011 | + | 0.123026i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −20.3850 | − | 11.7693i | −1.13076 | − | 0.652844i | ||||
\(326\) | 3.28324 | − | 10.6440i | 0.181842 | − | 0.589517i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 13.6981 | + | 10.9239i | 0.756352 | + | 0.603171i | ||||
\(329\) | −4.13022 | + | 27.1014i | −0.227707 | + | 1.49415i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.68394 | + | 5.27393i | −0.312418 | + | 0.289881i | −0.820759 | − | 0.571274i | \(-0.806449\pi\) |
0.508341 | + | 0.861156i | \(0.330259\pi\) | |||||||
\(332\) | −1.26226 | + | 0.190254i | −0.0692753 | + | 0.0104416i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.660125 | − | 4.37964i | 0.0361204 | − | 0.239643i | ||||
\(335\) | −1.82084 | + | 0.876870i | −0.0994831 | + | 0.0479085i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −14.8709 | − | 7.16145i | −0.810070 | − | 0.390109i | −0.0174669 | − | 0.999847i | \(-0.505560\pi\) |
−0.792603 | + | 0.609739i | \(0.791274\pi\) | |||||||
\(338\) | 4.84126 | − | 7.10083i | 0.263330 | − | 0.386234i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.137062 | − | 1.82897i | 0.00743323 | − | 0.0991896i | ||||
\(341\) | 8.32754 | − | 21.2182i | 0.450962 | − | 1.14903i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −14.5362 | + | 11.4760i | −0.784881 | + | 0.619646i | ||||
\(344\) | − | 30.5555i | − | 1.64744i | ||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 10.5860 | + | 0.793309i | 0.569105 | + | 0.0426486i | ||||
\(347\) | 4.50396 | − | 4.85411i | 0.241785 | − | 0.260582i | −0.600488 | − | 0.799634i | \(-0.705027\pi\) |
0.842273 | + | 0.539052i | \(0.181217\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −14.2030 | + | 29.4929i | −0.760270 | + | 1.57872i | 0.0542126 | + | 0.998529i | \(0.482735\pi\) |
−0.814483 | + | 0.580188i | \(0.802979\pi\) | |||||||
\(350\) | 2.50876 | + | 11.0751i | 0.134099 | + | 0.591986i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 24.0788 | + | 3.62930i | 1.28341 | + | 0.193442i | ||||
\(353\) | −21.2098 | + | 14.4606i | −1.12889 | + | 0.769661i | −0.975824 | − | 0.218556i | \(-0.929865\pi\) |
−0.153061 | + | 0.988217i | \(0.548913\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.817236 | + | 0.880771i | 0.0433744 | + | 0.0467464i | ||||
\(356\) | −11.7674 | − | 14.7559i | −0.623672 | − | 0.782060i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 5.98983 | − | 7.51101i | 0.316572 | − | 0.396969i | ||||
\(359\) | 34.3431 | − | 2.57366i | 1.81256 | − | 0.135833i | 0.875103 | − | 0.483936i | \(-0.160793\pi\) |
0.937456 | + | 0.348103i | \(0.113174\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −7.77007 | + | 13.4582i | −0.408951 | + | 0.708324i | ||||
\(362\) | 2.99005 | + | 5.17892i | 0.157153 | + | 0.272198i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 15.5140 | − | 2.31242i | 0.813157 | − | 0.121204i | ||||
\(365\) | 1.25205 | + | 0.285772i | 0.0655353 | + | 0.0149580i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.39443 | + | 0.547272i | −0.0727885 | + | 0.0285674i | −0.401456 | − | 0.915878i | \(-0.631496\pi\) |
0.328667 | + | 0.944446i | \(0.393400\pi\) | |||||||
\(368\) | 0.0174448 | − | 0.00684657i | 0.000909372 | − | 0.000356902i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.88937 | + | 0.431237i | 0.0982239 | + | 0.0224190i | ||||
\(371\) | 4.26190 | − | 7.35402i | 0.221267 | − | 0.381802i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −7.15901 | − | 12.3998i | −0.370680 | − | 0.642036i | 0.618991 | − | 0.785398i | \(-0.287542\pi\) |
−0.989670 | + | 0.143362i | \(0.954209\pi\) | |||||||
\(374\) | −10.0097 | + | 17.3374i | −0.517591 | + | 0.896493i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −29.1852 | + | 2.18713i | −1.50511 | + | 0.112792i | ||||
\(377\) | −9.88200 | + | 12.3916i | −0.508949 | + | 0.638202i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −12.2500 | − | 15.3610i | −0.629241 | − | 0.789043i | 0.360371 | − | 0.932809i | \(-0.382650\pi\) |
−0.989612 | + | 0.143766i | \(0.954079\pi\) | |||||||
\(380\) | 0.434384 | + | 0.468154i | 0.0222834 | + | 0.0240158i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −7.42540 | + | 5.06255i | −0.379916 | + | 0.259023i | ||||
\(383\) | 38.4974 | + | 5.80256i | 1.96713 | + | 0.296497i | 0.998927 | + | 0.0463217i | \(0.0147499\pi\) |
0.968201 | + | 0.250175i | \(0.0804882\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.705783 | − | 3.06909i | 0.0359700 | − | 0.156415i | ||||
\(386\) | 8.78509 | − | 18.2424i | 0.447149 | − | 0.928515i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −8.96108 | + | 9.65774i | −0.454930 | + | 0.490298i | ||||
\(389\) | −18.9964 | − | 1.42358i | −0.963155 | − | 0.0721785i | −0.416140 | − | 0.909301i | \(-0.636617\pi\) |
−0.547016 | + | 0.837122i | \(0.684236\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.67048i | 0.286769i | ||||||||
\(392\) | −15.4179 | − | 12.3781i | −0.778720 | − | 0.625187i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −4.00469 | + | 10.2038i | −0.201753 | + | 0.514059i | ||||
\(395\) | 0.0771003 | − | 1.02883i | 0.00387934 | − | 0.0517662i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 21.3628 | − | 31.3335i | 1.07217 | − | 1.57258i | 0.282284 | − | 0.959331i | \(-0.408908\pi\) |
0.789886 | − | 0.613254i | \(-0.210140\pi\) | |||||||
\(398\) | 17.6366 | + | 8.49334i | 0.884043 | + | 0.425733i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.0783106 | − | 0.0377124i | 0.00391553 | − | 0.00188562i | ||||
\(401\) | −1.67231 | + | 11.0951i | −0.0835112 | + | 0.554060i | 0.907476 | + | 0.420104i | \(0.138006\pi\) |
−0.990987 | + | 0.133957i | \(0.957232\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 25.0674 | − | 3.77831i | 1.24870 | − | 0.188211i | ||||
\(404\) | −15.1288 | + | 14.0374i | −0.752684 | + | 0.698388i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 7.62576 | − | 0.558931i | 0.378460 | − | 0.0277393i | ||||
\(407\) | 26.9841 | + | 21.5191i | 1.33755 | + | 1.06666i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.17430 | + | 7.04892i | −0.107512 | + | 0.348547i | −0.993303 | − | 0.115538i | \(-0.963141\pi\) |
0.885791 | + | 0.464085i | \(0.153617\pi\) | |||||||
\(410\) | 1.29667 | + | 0.748635i | 0.0640381 | + | 0.0369724i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.27805 | + | 0.519951i | −0.112232 | + | 0.0256161i | ||||
\(413\) | −21.8981 | + | 23.5232i | −1.07753 | + | 1.15750i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.272372 | + | 0.0840155i | −0.0133702 | + | 0.00412416i | ||||
\(416\) | 9.89422 | + | 25.2101i | 0.485104 | + | 1.23602i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.05469 | − | 6.66114i | −0.100498 | − | 0.325807i | ||||
\(419\) | 3.14968 | − | 13.7996i | 0.153872 | − | 0.674156i | −0.837866 | − | 0.545876i | \(-0.816197\pi\) |
0.991738 | − | 0.128280i | \(-0.0409458\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.174136 | − | 0.762941i | −0.00848688 | − | 0.0371835i | 0.970507 | − | 0.241072i | \(-0.0774991\pi\) |
−0.978994 | + | 0.203889i | \(0.934642\pi\) | |||||||
\(422\) | 7.69522 | − | 4.44284i | 0.374598 | − | 0.216274i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 8.67102 | + | 2.67465i | 0.421102 | + | 0.129893i | ||||
\(425\) | 1.96540 | + | 26.2265i | 0.0953360 | + | 1.27217i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −17.5271 | − | 11.9918i | −0.848196 | − | 0.580325i | ||||
\(428\) | 16.1095 | − | 12.8469i | 0.778684 | − | 0.620980i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.389180 | − | 2.58204i | −0.0187679 | − | 0.124517i | ||||
\(431\) | 9.82949 | + | 14.4172i | 0.473470 | + | 0.694453i | 0.986471 | − | 0.163935i | \(-0.0524187\pi\) |
−0.513001 | + | 0.858388i | \(0.671466\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 13.1419 | + | 27.2894i | 0.631558 | + | 1.31144i | 0.933658 | + | 0.358167i | \(0.116598\pi\) |
−0.302100 | + | 0.953276i | \(0.597688\pi\) | |||||||
\(434\) | −9.54915 | − | 7.64077i | −0.458374 | − | 0.366769i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 14.8193 | + | 10.1036i | 0.709715 | + | 0.483876i | ||||
\(437\) | −1.44740 | − | 1.34299i | −0.0692384 | − | 0.0642438i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 10.1890 | + | 3.99890i | 0.486296 | + | 0.190857i | 0.595806 | − | 0.803129i | \(-0.296833\pi\) |
−0.109510 | + | 0.993986i | \(0.534928\pi\) | |||||||
\(440\) | 3.36202 | 0.160278 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −22.2649 | −1.05904 | ||||||||
\(443\) | −16.2878 | − | 6.39250i | −0.773858 | − | 0.303717i | −0.0546446 | − | 0.998506i | \(-0.517403\pi\) |
−0.719214 | + | 0.694789i | \(0.755498\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.08930 | − | 2.86645i | −0.146447 | − | 0.135883i | ||||
\(446\) | −9.23922 | − | 6.29919i | −0.437490 | − | 0.298276i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 5.64732 | − | 11.6779i | 0.266811 | − | 0.551729i | ||||
\(449\) | 8.43206 | + | 17.5094i | 0.397933 | + | 0.826317i | 0.999619 | + | 0.0275846i | \(0.00878158\pi\) |
−0.601686 | + | 0.798733i | \(0.705504\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 15.0212 | + | 22.0321i | 0.707321 | + | 1.03745i | ||||
\(452\) | 2.27756 | + | 15.1106i | 0.107127 | + | 0.710743i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 2.33394 | − | 1.86126i | 0.109537 | − | 0.0873531i | ||||
\(455\) | 3.34851 | − | 1.02688i | 0.156981 | − | 0.0481411i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.462572 | − | 6.17260i | −0.0216382 | − | 0.288742i | −0.997517 | − | 0.0704283i | \(-0.977563\pi\) |
0.975879 | − | 0.218314i | \(-0.0700556\pi\) | |||||||
\(458\) | 16.1962 | + | 4.99587i | 0.756800 | + | 0.233442i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.315630 | − | 0.182229i | 0.0147163 | − | 0.00849649i | ||||
\(461\) | 5.60182 | + | 24.5432i | 0.260903 | + | 1.14309i | 0.920275 | + | 0.391273i | \(0.127965\pi\) |
−0.659372 | + | 0.751817i | \(0.729178\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.45210 | + | 28.2685i | −0.299854 | + | 1.31375i | 0.570490 | + | 0.821304i | \(0.306753\pi\) |
−0.870344 | + | 0.492443i | \(0.836104\pi\) | |||||||
\(464\) | −0.0172507 | − | 0.0559254i | −0.000800844 | − | 0.00259627i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −5.22686 | − | 13.3178i | −0.242129 | − | 0.616936i | ||||
\(467\) | −30.4671 | + | 9.39786i | −1.40985 | + | 0.434881i | −0.903923 | − | 0.427695i | \(-0.859326\pi\) |
−0.505927 | + | 0.862576i | \(0.668850\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −5.72228 | + | 18.4440i | −0.264231 | + | 0.851667i | ||||
\(470\) | −2.43839 | + | 0.556547i | −0.112475 | + | 0.0256716i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −29.7135 | − | 17.1551i | −1.36768 | − | 0.789628i | ||||
\(473\) | 13.7073 | − | 44.4381i | 0.630264 | − | 2.04326i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −7.15982 | − | 5.70976i | −0.328515 | − | 0.261982i | ||||
\(476\) | −11.8994 | − | 12.8666i | −0.545407 | − | 0.589740i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 12.8707 | − | 11.9423i | 0.588692 | − | 0.546226i | ||||
\(479\) | −13.8989 | + | 2.09492i | −0.635057 | + | 0.0957195i | −0.458678 | − | 0.888603i | \(-0.651677\pi\) |
−0.176380 | + | 0.984322i | \(0.556439\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −5.72103 | + | 37.9566i | −0.260857 | + | 1.73067i | ||||
\(482\) | 5.65536 | − | 2.72348i | 0.257595 | − | 0.124051i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 8.35685 | + | 4.02445i | 0.379857 | + | 0.182929i | ||||
\(485\) | −1.65718 | + | 2.43063i | −0.0752486 | + | 0.110369i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1.41125 | + | 18.8319i | −0.0639500 | + | 0.853353i | 0.869336 | + | 0.494221i | \(0.164547\pi\) |
−0.933286 | + | 0.359133i | \(0.883073\pi\) | |||||||
\(488\) | 8.28303 | − | 21.1048i | 0.374955 | − | 0.955370i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.46052 | − | 0.849614i | −0.0659796 | − | 0.0383816i | ||||
\(491\) | 23.3060i | 1.05179i | 0.850550 | + | 0.525894i | \(0.176269\pi\) | ||||
−0.850550 | + | 0.525894i | \(0.823731\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 17.6593 | + | 1.32339i | 0.795337 | + | 0.0596023i | ||||
\(494\) | 5.27319 | − | 5.68315i | 0.237252 | − | 0.255697i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.0406154 | + | 0.0843388i | −0.00182369 | + | 0.00378693i | ||||
\(497\) | 11.4809 | + | 0.0187771i | 0.514991 | + | 0.000842266i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.48858 | + | 0.224367i | 0.0666379 | + | 0.0100441i | 0.182277 | − | 0.983247i | \(-0.441653\pi\) |
−0.115639 | + | 0.993291i | \(0.536891\pi\) | |||||||
\(500\) | 2.81506 | − | 1.91928i | 0.125893 | − | 0.0858327i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −9.01111 | − | 9.71167i | −0.402186 | − | 0.433453i | ||||
\(503\) | 26.3252 | + | 33.0107i | 1.17378 | + | 1.47187i | 0.850816 | + | 0.525464i | \(0.176108\pi\) |
0.322965 | + | 0.946411i | \(0.395320\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.87323 | + | 3.60292i | −0.127857 | + | 0.160328i | ||||
\(506\) | −3.96701 | + | 0.297286i | −0.176355 | + | 0.0132160i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −7.53836 | + | 13.0568i | −0.334460 | + | 0.579302i | ||||
\(509\) | −7.79004 | − | 13.4927i | −0.345287 | − | 0.598055i | 0.640118 | − | 0.768276i | \(-0.278885\pi\) |
−0.985406 | + | 0.170221i | \(0.945552\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 10.1505 | − | 6.89622i | 0.449033 | − | 0.305071i | ||||
\(512\) | −0.194726 | − | 0.0444450i | −0.00860578 | − | 0.00196421i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −13.1037 | + | 5.14284i | −0.577981 | + | 0.226841i | ||||
\(515\) | −0.485686 | + | 0.190618i | −0.0214019 | + | 0.00839961i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −43.4263 | − | 9.91178i | −1.90989 | − | 0.435920i | ||||
\(518\) | 15.3174 | − | 10.4066i | 0.673007 | − | 0.457238i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.86956 | + | 3.23818i | 0.0819858 | + | 0.142004i | ||||
\(521\) | −4.91771 | + | 8.51773i | −0.215449 | + | 0.373168i | −0.953411 | − | 0.301673i | \(-0.902455\pi\) |
0.737962 | + | 0.674842i | \(0.235788\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.35373 | − | 0.326267i | 0.190375 | − | 0.0142667i | 0.0207989 | − | 0.999784i | \(-0.493379\pi\) |
0.169577 | + | 0.985517i | \(0.445760\pi\) | |||||||
\(524\) | 1.86843 | − | 2.34294i | 0.0816227 | − | 0.102352i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 7.07093 | + | 8.86666i | 0.308307 | + | 0.386605i | ||||
\(527\) | −19.2656 | − | 20.7634i | −0.839222 | − | 0.904467i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 18.0725 | − | 12.3216i | 0.785760 | − | 0.535722i | ||||
\(530\) | 0.766797 | + | 0.115576i | 0.0333075 | + | 0.00502030i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 6.10244 | + | 0.00998053i | 0.264574 | + | 0.000432711i | ||||
\(533\) | −12.8675 | + | 26.7195i | −0.557351 | + | 1.15735i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.12941 | − | 3.37270i | 0.135296 | − | 0.145814i | ||||
\(536\) | −20.5588 | − | 1.54067i | −0.888003 | − | 0.0665466i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 5.27405i | 0.227381i | ||||||||
\(539\) | −16.8700 | − | 24.9184i | −0.726641 | − | 1.07331i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 8.74975 | − | 22.2940i | 0.376181 | − | 0.958494i | −0.609937 | − | 0.792450i | \(-0.708805\pi\) |
0.986118 | − | 0.166044i | \(-0.0530995\pi\) | |||||||
\(542\) | −0.519373 | + | 6.93056i | −0.0223090 | + | 0.297693i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 17.0456 | − | 25.0014i | 0.730826 | − | 1.07192i | ||||
\(545\) | 3.60832 | + | 1.73767i | 0.154563 | + | 0.0744337i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.46836 | − | 3.11500i | 0.276567 | − | 0.133188i | −0.290459 | − | 0.956887i | \(-0.593808\pi\) |
0.567026 | + | 0.823700i | \(0.308094\pi\) | |||||||
\(548\) | 1.72076 | − | 11.4165i | 0.0735071 | − | 0.487688i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −18.2447 | + | 2.74995i | −0.777957 | + | 0.117258i | ||||
\(551\) | −4.52020 | + | 4.19414i | −0.192567 | + | 0.178676i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −6.69365 | − | 7.23775i | −0.284643 | − | 0.307780i | ||||
\(554\) | 10.4667 | + | 8.34693i | 0.444688 | + | 0.354627i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.619990 | − | 2.00996i | 0.0262934 | − | 0.0852411i | ||||
\(557\) | 24.1717 | + | 13.9555i | 1.02419 | + | 0.591315i | 0.915314 | − | 0.402741i | \(-0.131942\pi\) |
0.108873 | + | 0.994056i | \(0.465276\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 50.4235 | − | 11.5088i | 2.13269 | − | 0.486772i | ||||
\(560\) | −0.00383228 | + | 0.0123522i | −0.000161943 | + | 0.000521975i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −7.45942 | + | 2.30093i | −0.314657 | + | 0.0970588i | ||||
\(563\) | −2.96369 | − | 7.55137i | −0.124905 | − | 0.318252i | 0.854720 | − | 0.519090i | \(-0.173729\pi\) |
−0.979625 | + | 0.200837i | \(0.935634\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.00576 | + | 3.26059i | 0.0423126 | + | 0.137174i | ||||
\(566\) | 3.78470 | − | 16.5818i | 0.159083 | − | 0.696987i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 2.72741 | + | 11.9496i | 0.114439 | + | 0.501392i | ||||
\(569\) | 25.8002 | − | 14.8957i | 1.08160 | − | 0.624462i | 0.150272 | − | 0.988645i | \(-0.451985\pi\) |
0.931328 | + | 0.364183i | \(0.118652\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 23.9608 | + | 7.39093i | 1.00273 | + | 0.309301i | 0.752291 | − | 0.658832i | \(-0.228949\pi\) |
0.250439 | + | 0.968132i | \(0.419425\pi\) | |||||||
\(572\) | 1.90456 | + | 25.4146i | 0.0796337 | + | 1.06264i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 13.6783 | − | 4.19471i | 0.570921 | − | 0.175084i | ||||
\(575\) | −4.08598 | + | 3.25846i | −0.170397 | + | 0.135887i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −1.36164 | − | 9.03390i | −0.0566859 | − | 0.376086i | −0.999129 | − | 0.0417207i | \(-0.986716\pi\) |
0.942443 | − | 0.334366i | \(-0.108522\pi\) | |||||||
\(578\) | 5.66519 | + | 8.30931i | 0.235641 | + | 0.345622i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.493847 | − | 1.02548i | −0.0205059 | − | 0.0425809i | ||||
\(581\) | −1.18575 | + | 2.45197i | −0.0491932 | + | 0.101725i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 11.4107 | + | 7.77971i | 0.472585 | + | 0.322203i | ||||
\(584\) | 9.60362 | + | 8.91086i | 0.397401 | + | 0.368734i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 19.4743 | + | 7.64310i | 0.804476 | + | 0.315734i | ||||
\(587\) | −1.41804 | −0.0585289 | −0.0292645 | − | 0.999572i | \(-0.509316\pi\) | ||||
−0.0292645 | + | 0.999572i | \(0.509316\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 9.86270 | 0.406385 | ||||||||
\(590\) | −2.72940 | − | 1.07121i | −0.112367 | − | 0.0441010i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.103903 | − | 0.0964082i | −0.00427040 | − | 0.00396235i | ||||
\(593\) | −36.0642 | − | 24.5882i | −1.48098 | − | 1.00971i | −0.990387 | − | 0.138326i | \(-0.955828\pi\) |
−0.490593 | − | 0.871389i | \(-0.663220\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.05556 | − | 2.44491i | −0.125266 | − | 0.100232i | ||||
\(596\) | 2.02682 | + | 4.20874i | 0.0830218 | + | 0.172397i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −2.49232 | − | 3.65556i | −0.101918 | − | 0.149487i | ||||
\(599\) | −6.45351 | − | 42.8162i | −0.263683 | − | 1.74942i | −0.592999 | − | 0.805203i | \(-0.702056\pi\) |
0.329315 | − | 0.944220i | \(-0.393182\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −2.02198 | + | 1.61248i | −0.0824784 | + | 0.0657743i | −0.663861 | − | 0.747856i | \(-0.731083\pi\) |
0.581383 | + | 0.813630i | \(0.302512\pi\) | |||||||
\(602\) | −20.5926 | − | 14.0892i | −0.839293 | − | 0.574234i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.602323 | − | 8.03745i | −0.0245082 | − | 0.327039i | ||||
\(605\) | 1.97911 | + | 0.610474i | 0.0804622 | + | 0.0248193i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −34.4840 | + | 19.9093i | −1.39966 | + | 0.808095i | −0.994357 | − | 0.106087i | \(-0.966168\pi\) |
−0.405304 | + | 0.914182i | \(0.632834\pi\) | |||||||
\(608\) | 2.34456 | + | 10.2722i | 0.0950846 | + | 0.416593i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.431136 | − | 1.88893i | 0.0174562 | − | 0.0764805i | ||||
\(611\) | −14.6020 | − | 47.3384i | −0.590733 | − | 1.91511i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −12.6903 | − | 32.3343i | −0.512555 | − | 1.30597i | −0.919706 | − | 0.392607i | \(-0.871573\pi\) |
0.407151 | − | 0.913361i | \(-0.366522\pi\) | |||||||
\(614\) | −22.9089 | + | 7.06647i | −0.924530 | + | 0.285180i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 21.8894 | − | 23.5140i | 0.881950 | − | 0.947404i | ||||
\(617\) | −11.6915 | + | 2.66851i | −0.470682 | + | 0.107430i | −0.451282 | − | 0.892382i | \(-0.649033\pi\) |
−0.0194008 | + | 0.999812i | \(0.506176\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −30.5798 | − | 17.6553i | −1.22911 | − | 0.709625i | −0.262263 | − | 0.964996i | \(-0.584469\pi\) |
−0.966843 | + | 0.255372i | \(0.917802\pi\) | |||||||
\(620\) | −0.536602 | + | 1.73962i | −0.0215505 | + | 0.0698649i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 10.7006 | + | 8.53348i | 0.429057 | + | 0.342161i | ||||
\(623\) | −40.1617 | + | 2.94366i | −1.60904 | + | 0.117935i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −17.4876 | + | 16.2261i | −0.699505 | + | 0.649045i | ||||
\(626\) | −15.7759 | + | 2.37783i | −0.630530 | + | 0.0950372i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.539748 | + | 3.58100i | −0.0215383 | + | 0.142897i | ||||
\(629\) | 38.6411 | − | 18.6086i | 1.54072 | − | 0.741973i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −10.0804 | − | 4.85448i | −0.401295 | − | 0.193254i | 0.222340 | − | 0.974969i | \(-0.428631\pi\) |
−0.623635 | + | 0.781716i | \(0.714345\pi\) | |||||||
\(632\) | 5.92880 | − | 8.69595i | 0.235835 | − | 0.345906i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.916736 | + | 12.2330i | −0.0364083 | + | 0.485834i | ||||
\(635\) | −1.22992 | + | 3.13379i | −0.0488080 | + | 0.124361i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 14.6194 | − | 30.1053i | 0.579243 | − | 1.19281i | ||||
\(638\) | 12.4237i | 0.491857i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.94791 | − | 0.145976i | −0.0769980 | − | 0.00577020i | ||||
\(641\) | 27.6812 | − | 29.8332i | 1.09334 | − | 1.17834i | 0.110503 | − | 0.993876i | \(-0.464754\pi\) |
0.982839 | − | 0.184466i | \(-0.0590557\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.78693 | − | 5.78711i | 0.109906 | − | 0.228221i | −0.838761 | − | 0.544500i | \(-0.816719\pi\) |
0.948666 | + | 0.316279i | \(0.102434\pi\) | |||||||
\(644\) | 0.780494 | − | 3.39397i | 0.0307558 | − | 0.133741i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −8.56547 | − | 1.29104i | −0.337004 | − | 0.0507952i | ||||
\(647\) | −0.889227 | + | 0.606265i | −0.0349591 | + | 0.0238347i | −0.580674 | − | 0.814136i | \(-0.697211\pi\) |
0.545714 | + | 0.837971i | \(0.316258\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −35.5177 | − | 38.2790i | −1.39419 | − | 1.50258i | ||||
\(650\) | −12.7942 | − | 16.0434i | −0.501830 | − | 0.629275i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −9.87855 | + | 12.3873i | −0.386874 | + | 0.485125i | ||||
\(653\) | −28.3505 | + | 2.12457i | −1.10944 | + | 0.0831410i | −0.616820 | − | 0.787104i | \(-0.711579\pi\) |
−0.492619 | + | 0.870245i | \(0.663960\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.334572 | − | 0.579496i | 0.0130728 | − | 0.0226428i | ||||
\(656\) | −0.0547544 | − | 0.0948374i | −0.00213780 | − | 0.00370278i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −11.9834 | + | 20.6776i | −0.467160 | + | 0.806098i | ||||
\(659\) | 21.2058 | + | 4.84008i | 0.826060 | + | 0.188543i | 0.614595 | − | 0.788843i | \(-0.289319\pi\) |
0.211465 | + | 0.977386i | \(0.432177\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −15.9421 | + | 6.25682i | −0.620077 | + | 0.243362i | −0.654520 | − | 0.756044i | \(-0.727129\pi\) |
0.0344436 | + | 0.999407i | \(0.489034\pi\) | |||||||
\(662\) | −6.29230 | + | 2.46954i | −0.244557 | + | 0.0959816i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.83480 | − | 0.647024i | −0.110011 | − | 0.0251094i | ||||
\(665\) | 1.34774 | − | 0.200885i | 0.0522631 | − | 0.00778999i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.75949 | + | 3.04753i | 0.0681278 | + | 0.118001i | ||||
\(668\) | −3.14999 | + | 5.45594i | −0.121877 | + | 0.211097i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.75691 | + | 0.131662i | −0.0678753 | + | 0.00508655i | ||||
\(671\) | 21.5141 | − | 26.9778i | 0.830541 | − | 1.04147i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −2.48969 | − | 3.12198i | −0.0959706 | − | 0.120343i | 0.731527 | − | 0.681812i | \(-0.238808\pi\) |
−0.827498 | + | 0.561469i | \(0.810236\pi\) | |||||||
\(674\) | −9.78701 | − | 10.5479i | −0.376982 | − | 0.406289i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −10.1002 | + | 6.88622i | −0.388471 | + | 0.264855i | ||||
\(677\) | −19.0605 | − | 2.87290i | −0.732553 | − | 0.110415i | −0.227836 | − | 0.973699i | \(-0.573165\pi\) |
−0.504717 | + | 0.863285i | \(0.668403\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 6.21028 | + | 27.4156i | 0.238329 | + | 1.05211i | ||||
\(680\) | 1.81267 | − | 3.76405i | 0.0695127 | − | 0.144345i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 13.5158 | − | 14.5665i | 0.517546 | − | 0.557782i | ||||
\(683\) | 16.0986 | + | 1.20642i | 0.615994 | + | 0.0461624i | 0.379074 | − | 0.925367i | \(-0.376243\pi\) |
0.236921 | + | 0.971529i | \(0.423862\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 2.57800i | − | 0.0985003i | ||||||
\(686\) | −15.4513 | + | 4.68320i | −0.589934 | + | 0.178806i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.0697733 | + | 0.177779i | −0.00266008 | + | 0.00677778i | ||||
\(689\) | −1.14782 | + | 15.3166i | −0.0437284 | + | 0.583515i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 18.8400 | − | 27.6332i | 0.716708 | − | 1.05122i | −0.279146 | − | 0.960249i | \(-0.590051\pi\) |
0.995854 | − | 0.0909687i | \(-0.0289963\pi\) | |||||||
\(692\) | −13.6044 | − | 6.55153i | −0.517162 | − | 0.249052i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 5.20101 | − | 2.50468i | 0.197428 | − | 0.0950762i | ||||
\(695\) | 0.0700012 | − | 0.464427i | 0.00265530 | − | 0.0176167i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 32.7655 | − | 4.93860i | 1.24108 | − | 0.187063i | ||||
\(698\) | −20.9192 | + | 19.4102i | −0.791804 | + | 0.734687i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 2.43349 | − | 15.9679i | 0.0919774 | − | 0.603531i | ||||
\(701\) | −26.7063 | − | 21.2976i | −1.00868 | − | 0.804398i | −0.0279223 | − | 0.999610i | \(-0.508889\pi\) |
−0.980761 | + | 0.195212i | \(0.937461\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.40184 | + | 14.2704i | −0.166018 | + | 0.538219i | ||||
\(704\) | 18.2529 | + | 10.5383i | 0.687931 | + | 0.397177i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −21.8176 | + | 4.97973i | −0.821117 | + | 0.187415i | ||||
\(707\) | 6.49176 | + | 43.5532i | 0.244148 | + | 1.63799i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 19.0917 | − | 5.88901i | 0.717004 | − | 0.221167i | 0.0852770 | − | 0.996357i | \(-0.472822\pi\) |
0.631727 | + | 0.775191i | \(0.282346\pi\) | |||||||
\(710\) | 0.382675 | + | 0.975039i | 0.0143615 | + | 0.0365926i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −12.6718 | − | 41.0809i | −0.474895 | − | 1.53957i | ||||
\(713\) | 1.25245 | − | 5.48735i | 0.0469047 | − | 0.205503i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.26632 | + | 5.54811i | 0.0473577 | + | 0.207488i | ||||
\(716\) | −11.8342 | + | 6.83247i | −0.442264 | + | 0.255341i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 28.6895 | + | 8.84953i | 1.07068 | + | 0.330262i | ||||
\(719\) | 0.768305 | + | 10.2523i | 0.0286529 | + | 0.382347i | 0.993034 | + | 0.117829i | \(0.0375936\pi\) |
−0.964381 | + | 0.264517i | \(0.914787\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.82902 | + | 4.63795i | −0.0681163 | + | 0.172726i | ||||
\(722\) | −10.5918 | + | 8.44671i | −0.394187 | + | 0.314354i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1.26777 | − | 8.41110i | −0.0471163 | − | 0.312596i | ||||
\(725\) | 9.19409 | + | 13.4852i | 0.341460 | + | 0.500830i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 8.03723 | + | 16.6895i | 0.298084 | + | 0.618978i | 0.995187 | − | 0.0979928i | \(-0.0312422\pi\) |
−0.697103 | + | 0.716971i | \(0.745528\pi\) | |||||||
\(728\) | 34.8201 | + | 8.00740i | 1.29052 | + | 0.296774i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.925035 | + | 0.630678i | 0.0342371 | + | 0.0233425i | ||||
\(731\) | −42.3614 | − | 39.3057i | −1.56679 | − | 1.45377i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2.10783 | + | 0.827261i | 0.0778544 | + | 0.0305556i | 0.403949 | − | 0.914782i | \(-0.367637\pi\) |
−0.326094 | + | 0.945337i | \(0.605733\pi\) | |||||||
\(734\) | −1.30590 | −0.0482015 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.01291 | 0.221639 | ||||||||
\(737\) | −29.2083 | − | 11.4634i | −1.07590 | − | 0.422260i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.56600 | − | 2.38090i | −0.0943920 | − | 0.0875830i | 0.631566 | − | 0.775322i | \(-0.282413\pi\) |
−0.725958 | + | 0.687739i | \(0.758603\pi\) | |||||||
\(740\) | −2.27758 | − | 1.55283i | −0.0837255 | − | 0.0570831i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 5.80079 | − | 4.61048i | 0.212954 | − | 0.169256i | ||||
\(743\) | 7.79526 | + | 16.1870i | 0.285980 | + | 0.593844i | 0.993626 | − | 0.112723i | \(-0.0359572\pi\) |
−0.707646 | + | 0.706567i | \(0.750243\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.587584 | + | 0.861828i | 0.0215274 | + | 0.0315749i | ||||
\(746\) | −1.86036 | − | 12.3427i | −0.0681124 | − | 0.451897i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 22.2632 | − | 17.7543i | 0.814024 | − | 0.649162i | ||||
\(749\) | −3.21370 | − | 43.8459i | −0.117426 | − | 1.60210i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.07448 | − | 27.6821i | −0.0756990 | − | 1.01013i | −0.897689 | − | 0.440630i | \(-0.854755\pi\) |
0.821990 | − | 0.569502i | \(-0.192864\pi\) | |||||||
\(752\) | 0.174801 | + | 0.0539189i | 0.00637433 | + | 0.00196622i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −11.9660 | + | 6.90858i | −0.435777 | + | 0.251596i | ||||
\(755\) | −0.400477 | − | 1.75461i | −0.0145749 | − | 0.0638566i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 4.94805 | − | 21.6788i | 0.179840 | − | 0.787930i | −0.801863 | − | 0.597508i | \(-0.796157\pi\) |
0.981702 | − | 0.190421i | \(-0.0609854\pi\) | |||||||
\(758\) | −5.04861 | − | 16.3672i | −0.183374 | − | 0.594483i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.531467 | + | 1.35416i | 0.0192783 | + | 0.0491204i | ||||
\(761\) | 30.5910 | − | 9.43607i | 1.10892 | − | 0.342057i | 0.314399 | − | 0.949291i | \(-0.398197\pi\) |
0.794523 | + | 0.607234i | \(0.207721\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 35.6462 | − | 13.9229i | 1.29048 | − | 0.504042i | ||||
\(764\) | 12.4626 | − | 2.84451i | 0.450882 | − | 0.102911i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 29.3930 | + | 16.9701i | 1.06201 | + | 0.613153i | ||||
\(767\) | 17.1181 | − | 55.4957i | 0.618100 | − | 2.00383i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 7.26818 | + | 5.79618i | 0.262097 | + | 0.209016i | 0.745717 | − | 0.666262i | \(-0.232107\pi\) |
−0.483620 | + | 0.875278i | \(0.660678\pi\) | |||||||
\(770\) | 1.55024 | − | 2.26581i | 0.0558667 | − | 0.0816542i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −21.1120 | + | 19.5891i | −0.759839 | + | 0.705027i | ||||
\(773\) | −16.0242 | + | 2.41526i | −0.576350 | + | 0.0868708i | −0.430748 | − | 0.902472i | \(-0.641750\pi\) |
−0.145602 | + | 0.989343i | \(0.546512\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 3.89077 | − | 25.8136i | 0.139760 | − | 0.927250i | ||||
\(776\) | −27.0380 | + | 13.0208i | −0.970608 | + | 0.467420i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −14.9624 | − | 7.20550i | −0.536427 | − | 0.258330i | ||||
\(779\) | −6.49954 | + | 9.53307i | −0.232870 | + | 0.341558i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.39405 | + | 18.6022i | −0.0498829 | + | 0.665640i | ||||
\(782\) | −1.80602 | + | 4.60166i | −0.0645830 | + | 0.164555i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0.0614398 | + | 0.107225i | 0.00219428 | + | 0.00382947i | ||||
\(785\) | 0.808639i | 0.0288616i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −22.4776 | − | 1.68446i | −0.801239 | − | 0.0600446i | −0.332185 | − | 0.943214i | \(-0.607786\pi\) |
−0.469054 | + | 0.883170i | \(0.655405\pi\) | |||||||
\(788\) | 10.6050 | − | 11.4295i | 0.377789 | − | 0.407159i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.390245 | − | 0.810352i | 0.0138843 | − | 0.0288310i | ||||
\(791\) | 29.3528 | + | 14.1948i | 1.04367 | + | 0.504708i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 37.9476 | + | 5.71968i | 1.34756 | + | 0.203112i | ||||
\(794\) | 27.3157 | − | 18.6235i | 0.969399 | − | 0.660925i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −18.9386 | − | 20.4109i | −0.671259 | − | 0.723445i | ||||
\(797\) | 17.3219 | + | 21.7209i | 0.613572 | + | 0.769395i | 0.987424 | − | 0.158093i | \(-0.0505347\pi\) |
−0.373852 | + | 0.927488i | \(0.621963\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −34.5108 | + | 43.2751i | −1.22090 | + | 1.53096i | ||||
\(800\) | 27.8102 | − | 2.08409i | 0.983241 | − | 0.0736837i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −4.89081 | + | 8.47113i | −0.172700 | + | 0.299126i | ||||
\(803\) | 9.96948 | + | 17.2676i | 0.351815 | + | 0.609362i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.0593803 | − | 0.775357i | 0.00209288 | − | 0.0273277i | ||||
\(806\) | 21.5459 | + | 4.91770i | 0.758920 | + | 0.173219i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −43.7606 | + | 17.1748i | −1.53949 | + | 0.604206i | ||||
\(809\) | −37.0259 | + | 14.5316i | −1.30176 | + | 0.510904i | −0.912068 | − | 0.410040i | \(-0.865515\pi\) |
−0.389695 | + | 0.920944i | \(0.627420\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 44.2970 | + | 10.1105i | 1.55548 | + | 0.355028i | 0.911919 | − | 0.410369i | \(-0.134600\pi\) |
0.643558 | + | 0.765397i | \(0.277457\pi\) | |||||||
\(812\) | −10.3875 | − | 3.22275i | −0.364531 | − | 0.113096i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 15.0442 | + | 26.0573i | 0.527299 | + | 0.913308i | ||||
\(815\) | −1.76891 | + | 3.06385i | −0.0619624 | + | 0.107322i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 20.0656 | − | 1.50371i | 0.702007 | − | 0.0526082i | ||||
\(818\) | −4.00951 | + | 5.02777i | −0.140189 | + | 0.175792i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1.32786 | − | 1.66508i | −0.0463708 | − | 0.0581472i | ||||
\(821\) | 3.13956 | + | 3.38364i | 0.109571 | + | 0.118090i | 0.785456 | − | 0.618918i | \(-0.212429\pi\) |
−0.675884 | + | 0.737008i | \(0.736238\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −38.5438 | + | 26.2787i | −1.34355 | + | 0.916018i | −0.999735 | − | 0.0230186i | \(-0.992672\pi\) |
−0.343817 | + | 0.939037i | \(0.611720\pi\) | |||||||
\(824\) | −5.26305 | − | 0.793277i | −0.183347 | − | 0.0276351i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −25.2626 | + | 12.1149i | −0.878997 | + | 0.421533i | ||||
\(827\) | −22.4671 | + | 46.6534i | −0.781257 | + | 1.62230i | 0.00152245 | + | 0.999999i | \(0.499515\pi\) |
−0.782780 | + | 0.622299i | \(0.786199\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 4.19087 | − | 4.51668i | 0.145555 | − | 0.156871i | −0.656066 | − | 0.754703i | \(-0.727781\pi\) |
0.801621 | + | 0.597833i | \(0.203971\pi\) | |||||||
\(830\) | −0.247791 | − | 0.0185694i | −0.00860095 | − | 0.000644552i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 23.4407i | 0.812659i | ||||||||
\(833\) | −36.9938 | + | 5.45222i | −1.28176 | + | 0.188908i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.513938 | + | 1.30949i | −0.0177856 | + | 0.0453168i | ||||
\(836\) | −0.740974 | + | 9.88761i | −0.0256271 | + | 0.341970i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 6.95110 | − | 10.1954i | 0.240122 | − | 0.352194i | ||||
\(839\) | 19.9513 | + | 9.60804i | 0.688796 | + | 0.331706i | 0.745331 | − | 0.666694i | \(-0.232291\pi\) |
−0.0565359 | + | 0.998401i | \(0.518006\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −16.2267 | + | 7.81435i | −0.559540 | + | 0.269460i | ||||
\(842\) | 0.101679 | − | 0.674596i | 0.00350409 | − | 0.0232481i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −12.4978 | + | 1.88375i | −0.430194 | + | 0.0648412i | ||||
\(845\) | −2.00094 | + | 1.85660i | −0.0688343 | + | 0.0638689i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 17.1552 | − | 9.86719i | 0.589460 | − | 0.339041i | ||||
\(848\) | −0.0443426 | − | 0.0353620i | −0.00152273 | − | 0.00121434i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −6.75804 | + | 21.9090i | −0.231799 | + | 0.751474i | ||||
\(851\) | 7.38070 | + | 4.26125i | 0.253007 | + | 0.146074i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −7.76088 | + | 1.77137i | −0.265727 | + | 0.0606506i | −0.353309 | − | 0.935507i | \(-0.614943\pi\) |
0.0875812 | + | 0.996157i | \(0.472086\pi\) | |||||||
\(854\) | −10.4041 | − | 15.3138i | −0.356021 | − | 0.524027i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 44.8495 | − | 13.8342i | 1.53292 | − | 0.472845i | ||||
\(857\) | 17.6938 | + | 45.0832i | 0.604410 | + | 1.54001i | 0.825289 | + | 0.564711i | \(0.191012\pi\) |
−0.220878 | + | 0.975301i | \(0.570892\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −4.62637 | − | 14.9983i | −0.157850 | − | 0.511737i | 0.841755 | − | 0.539860i | \(-0.181523\pi\) |
−0.999604 | + | 0.0281237i | \(0.991047\pi\) | |||||||
\(860\) | −0.826485 | + | 3.62107i | −0.0281829 | + | 0.123477i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 3.38493 | + | 14.8304i | 0.115291 | + | 0.505124i | ||||
\(863\) | 1.05962 | − | 0.611770i | 0.0360698 | − | 0.0208249i | −0.481857 | − | 0.876250i | \(-0.660037\pi\) |
0.517926 | + | 0.855425i | \(0.326704\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −3.22186 | − | 0.993811i | −0.109546 | − | 0.0337906i | ||||
\(866\) | 1.97325 | + | 26.3312i | 0.0670538 | + | 0.894771i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 8.67319 | + | 15.0793i | 0.294387 | + | 0.511825i | ||||
\(869\) | 12.5235 | − | 9.98719i | 0.424832 | − | 0.338792i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −5.20108 | − | 34.5069i | −0.176232 | − | 1.16922i | ||||
\(872\) | 23.0145 | + | 33.7560i | 0.779368 | + | 1.14312i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.746843 | − | 1.55084i | −0.0252624 | − | 0.0524578i | ||||
\(875\) | 0.0118893 | − | 7.26951i | 0.000401930 | − | 0.245754i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.32167 | + | 4.31004i | 0.213468 | + | 0.145540i | 0.665334 | − | 0.746546i | \(-0.268289\pi\) |
−0.451866 | + | 0.892086i | \(0.649242\pi\) | |||||||
\(878\) | 6.99488 | + | 6.49030i | 0.236066 | + | 0.219037i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.0195611 | − | 0.00767716i | −0.000659404 | − | 0.000258797i | ||||
\(881\) | 48.1263 | 1.62142 | 0.810709 | − | 0.585449i | \(-0.199082\pi\) | ||||
0.810709 | + | 0.585449i | \(0.199082\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −42.3669 | −1.42576 | −0.712880 | − | 0.701286i | \(-0.752609\pi\) | ||||
−0.712880 | + | 0.701286i | \(0.752609\pi\) | |||||||
\(884\) | 29.4805 | + | 11.5702i | 0.991537 | + | 0.389149i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −11.1818 | − | 10.3752i | −0.375659 | − | 0.348561i | ||||
\(887\) | 6.80738 | + | 4.64119i | 0.228569 | + | 0.155836i | 0.672190 | − | 0.740379i | \(-0.265354\pi\) |
−0.443621 | + | 0.896215i | \(0.646306\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 13.9099 | + | 29.0055i | 0.466524 | + | 0.972814i | ||||
\(890\) | −1.59405 | − | 3.31008i | −0.0534326 | − | 0.110954i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 8.95999 | + | 13.1419i | 0.300003 | + | 0.440023i | ||||
\(893\) | −2.87255 | − | 19.0581i | −0.0961262 | − | 0.637756i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.38558 | + | 1.90244i | −0.0797411 | + | 0.0635914i | ||||
\(896\) | −13.7034 | + | 12.6732i | −0.457798 | + | 0.423384i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 1.26607 | + | 16.8946i | 0.0422494 | + | 0.563780i | ||||
\(899\) | −16.7967 | − | 5.18110i | −0.560202 | − | 0.172799i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 14.8622 | − | 8.58070i | 0.495132 | − | 0.285865i | ||||
\(902\) | 5.17278 | + | 22.6634i | 0.172235 | + | 0.754610i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −7.74559 | + | 33.9357i | −0.257615 | + | 1.12868i | ||||
\(905\) | −0.559842 | − | 1.81496i | −0.0186098 | − | 0.0603314i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −4.69227 | − | 11.9557i | −0.155804 | − | 0.396982i | 0.831563 | − | 0.555430i | \(-0.187446\pi\) |
−0.987367 | + | 0.158448i | \(0.949351\pi\) | |||||||
\(908\) | −4.05755 | + | 1.25159i | −0.134654 | + | 0.0415354i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 3.04441 | + | 0.233155i | 0.100921 | + | 0.00772900i | ||||
\(911\) | 46.3147 | − | 10.5710i | 1.53448 | − | 0.350234i | 0.629944 | − | 0.776641i | \(-0.283078\pi\) |
0.904532 | + | 0.426406i | \(0.140221\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −3.83250 | − | 2.21269i | −0.126837 | − | 0.0732295i | ||||
\(914\) | 1.59056 | − | 5.15646i | 0.0526109 | − | 0.170560i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −18.8489 | − | 15.0315i | −0.622785 | − | 0.496654i | ||||
\(917\) | −1.87466 | − | 6.11297i | −0.0619067 | − | 0.201868i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 22.4031 | − | 20.7871i | 0.739011 | − | 0.685702i | −0.217937 | − | 0.975963i | \(-0.569933\pi\) |
0.956948 | + | 0.290261i | \(0.0937421\pi\) | |||||||
\(920\) | 0.820908 | − | 0.123732i | 0.0270645 | − | 0.00407932i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −3.27093 | + | 21.7012i | −0.107722 | + | 0.714691i | ||||
\(923\) | −18.6922 | + | 9.00169i | −0.615261 | + | 0.296294i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 35.6133 | + | 17.1505i | 1.17096 | + | 0.563904i | ||||
\(926\) | −14.2393 | + | 20.8852i | −0.467932 | + | 0.686331i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1.40330 | − | 18.7258i | 0.0460656 | − | 0.614703i | ||||
\(929\) | 19.8187 | − | 50.4973i | 0.650232 | − | 1.65676i | −0.0995136 | − | 0.995036i | \(-0.531729\pi\) |
0.749745 | − | 0.661727i | \(-0.230176\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 7.36985 | − | 10.7340i | 0.241537 | − | 0.351792i | ||||
\(932\) | 20.3500i | 0.666587i | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −27.7176 | − | 2.07714i | −0.906946 | − | 0.0679662i | ||||
\(935\) | 4.32481 | − | 4.66104i | 0.141436 | − | 0.152432i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −25.2650 | + | 52.4632i | −0.825370 | + | 1.71390i | −0.134508 | + | 0.990912i | \(0.542945\pi\) |
−0.690862 | + | 0.722987i | \(0.742769\pi\) | |||||||
\(938\) | −10.5180 | + | 13.1450i | −0.343425 | + | 0.429200i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 3.51783 | + | 0.530228i | 0.114739 | + | 0.0172941i | ||||
\(941\) | 46.5259 | − | 31.7208i | 1.51670 | − | 1.03407i | 0.534732 | − | 0.845022i | \(-0.320413\pi\) |
0.981968 | − | 0.189047i | \(-0.0605397\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 4.47858 | + | 4.82676i | 0.145843 | + | 0.157181i | ||||
\(944\) | 0.133707 | + | 0.167663i | 0.00435180 | + | 0.00545698i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 25.2769 | − | 31.6962i | 0.821823 | − | 1.03053i | ||||
\(947\) | −37.8307 | + | 2.83502i | −1.22933 | + | 0.0921257i | −0.673512 | − | 0.739177i | \(-0.735215\pi\) |
−0.555821 | + | 0.831302i | \(0.687596\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −11.0877 | + | 19.2045i | −0.359922 | + | 0.623404i | ||||
\(950\) | −3.99174 | − | 6.91389i | −0.129509 | − | 0.224316i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −14.5238 | − | 37.1847i | −0.470719 | − | 1.20516i | ||||
\(953\) | −13.4026 | − | 3.05906i | −0.434153 | − | 0.0990927i | −0.000141795 | − | 1.00000i | \(-0.500045\pi\) |
−0.434011 | + | 0.900907i | \(0.642902\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 2.65705 | − | 1.04282i | 0.0859803 | − | 0.0337448i | ||||
\(956\) | −23.2477 | + | 9.12406i | −0.751885 | + | 0.295093i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −11.9463 | − | 2.72667i | −0.385968 | − | 0.0880948i | ||||
\(959\) | −18.0305 | − | 16.7848i | −0.582235 | − | 0.542010i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −1.44267 | − | 2.49878i | −0.0465377 | − | 0.0806057i | ||||
\(962\) | −16.7316 | + | 28.9800i | −0.539449 | + | 0.934354i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −8.90343 | + | 0.667219i | −0.286760 | + | 0.0214897i | ||||
\(965\) | −4.00957 | + | 5.02784i | −0.129073 | + | 0.161852i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 11.3125 | + | 14.1855i | 0.363787 | + | 0.456174i | 0.929715 | − | 0.368281i | \(-0.120053\pi\) |
−0.565928 | + | 0.824455i | \(0.691482\pi\) | |||||||
\(968\) | 14.3706 | + | 15.4879i | 0.461890 | + | 0.497799i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −2.11896 | + | 1.44468i | −0.0680357 | + | 0.0463860i | ||||
\(971\) | 57.3740 | + | 8.64775i | 1.84122 | + | 0.277519i | 0.975010 | − | 0.222160i | \(-0.0713107\pi\) |
0.866210 | + | 0.499679i | \(0.166549\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −2.79244 | − | 3.51338i | −0.0895214 | − | 0.112634i | ||||
\(974\) | −7.14309 | + | 14.8328i | −0.228879 | + | 0.475273i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.0963855 | + | 0.103879i | −0.00308522 | + | 0.00332508i | ||||
\(977\) | −30.0970 | − | 2.25546i | −0.962889 | − | 0.0721585i | −0.416001 | − | 0.909364i | \(-0.636569\pi\) |
−0.546888 | + | 0.837206i | \(0.684188\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 65.4302i | − | 2.09116i | ||||||
\(980\) | 1.49233 | + | 1.88393i | 0.0476707 | + | 0.0601800i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −7.42284 | + | 18.9131i | −0.236872 | + | 0.603541i | ||||
\(983\) | 2.83552 | − | 37.8374i | 0.0904390 | − | 1.20682i | −0.748700 | − | 0.662909i | \(-0.769322\pi\) |
0.839139 | − | 0.543916i | \(-0.183059\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.96120 | − | 2.87655i | 0.0624889 | − | 0.0916544i | ||||
\(986\) | 13.9093 | + | 6.69834i | 0.442961 | + | 0.213319i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −9.93543 | + | 4.78465i | −0.316088 | + | 0.152220i | ||||
\(989\) | 1.71148 | − | 11.3549i | 0.0544219 | − | 0.361066i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 11.6432 | − | 1.75492i | 0.369857 | − | 0.0557470i | 0.0385160 | − | 0.999258i | \(-0.487737\pi\) |
0.331341 | + | 0.943511i | \(0.392499\pi\) | |||||||
\(992\) | −22.0172 | + | 20.4290i | −0.699048 | + | 0.648622i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 9.31093 | + | 3.67185i | 0.295325 | + | 0.116464i | ||||
\(995\) | −4.86087 | − | 3.87641i | −0.154100 | − | 0.122891i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −2.18162 | + | 7.07264i | −0.0690926 | + | 0.223993i | −0.983533 | − | 0.180727i | \(-0.942155\pi\) |
0.914441 | + | 0.404720i | \(0.132631\pi\) | |||||||
\(998\) | 1.13654 | + | 0.656180i | 0.0359765 | + | 0.0207710i | ||||
\(999\) | 0 | 0 |
(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 | 441.2.bg.a.395.12 | yes | 216 | |
3.2 | odd | 2 | inner | 441.2.bg.a.395.7 | yes | 216 | |
49.33 | odd | 42 | inner | 441.2.bg.a.278.7 | ✓ | 216 | |
147.131 | even | 42 | inner | 441.2.bg.a.278.12 | yes | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bg.a.278.7 | ✓ | 216 | 49.33 | odd | 42 | inner | |
441.2.bg.a.278.12 | yes | 216 | 147.131 | even | 42 | inner | |
441.2.bg.a.395.7 | yes | 216 | 3.2 | odd | 2 | inner | |
441.2.bg.a.395.12 | yes | 216 | 1.1 | even | 1 | trivial |