Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(157,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([4, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.157");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.cg (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 157.7 | ||
Character | \(\chi\) | \(=\) | 315.157 |
Dual form | 315.2.cg.e.313.7 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.97684 | + | 0.529692i | −1.39784 | + | 0.374549i | −0.877567 | − | 0.479454i | \(-0.840835\pi\) |
−0.520269 | + | 0.854003i | \(0.674168\pi\) | |||||||
\(3\) | −1.08684 | − | 1.34862i | −0.627485 | − | 0.778629i | ||||
\(4\) | 1.89527 | − | 1.09423i | 0.947633 | − | 0.547116i | ||||
\(5\) | 1.45689 | − | 1.69631i | 0.651541 | − | 0.758614i | ||||
\(6\) | 2.86285 | + | 2.09032i | 1.16876 | + | 0.853371i | ||||
\(7\) | −0.793015 | + | 2.52411i | −0.299731 | + | 0.954024i | ||||
\(8\) | −0.272736 | + | 0.272736i | −0.0964267 | + | 0.0964267i | ||||
\(9\) | −0.637576 | + | 2.93147i | −0.212525 | + | 0.977156i | ||||
\(10\) | −1.98151 | + | 4.12504i | −0.626609 | + | 1.30445i | ||||
\(11\) | 3.87584 | 1.16861 | 0.584305 | − | 0.811534i | \(-0.301367\pi\) | ||||
0.584305 | + | 0.811534i | \(0.301367\pi\) | |||||||
\(12\) | −3.53555 | − | 1.36675i | −1.02063 | − | 0.394547i | ||||
\(13\) | 0.521528 | − | 0.139743i | 0.144646 | − | 0.0387577i | −0.185770 | − | 0.982593i | \(-0.559478\pi\) |
0.330415 | + | 0.943836i | \(0.392811\pi\) | |||||||
\(14\) | 0.230661 | − | 5.40981i | 0.0616466 | − | 1.44583i | ||||
\(15\) | −3.87109 | − | 0.121185i | −0.999510 | − | 0.0312899i | ||||
\(16\) | −1.79378 | + | 3.10691i | −0.448444 | + | 0.776728i | ||||
\(17\) | −1.37185 | − | 5.11982i | −0.332723 | − | 1.24174i | −0.906317 | − | 0.422599i | \(-0.861118\pi\) |
0.573594 | − | 0.819140i | \(-0.305549\pi\) | |||||||
\(18\) | −0.292390 | − | 6.13276i | −0.0689169 | − | 1.44550i | ||||
\(19\) | 0.339412 | + | 0.587878i | 0.0778664 | + | 0.134868i | 0.902329 | − | 0.431048i | \(-0.141856\pi\) |
−0.824463 | + | 0.565916i | \(0.808523\pi\) | |||||||
\(20\) | 0.905035 | − | 4.80914i | 0.202372 | − | 1.07536i | ||||
\(21\) | 4.26595 | − | 1.67381i | 0.930907 | − | 0.365256i | ||||
\(22\) | −7.66191 | + | 2.05300i | −1.63352 | + | 0.437702i | ||||
\(23\) | −0.833847 | + | 0.833847i | −0.173869 | + | 0.173869i | −0.788677 | − | 0.614808i | \(-0.789234\pi\) |
0.614808 | + | 0.788677i | \(0.289234\pi\) | |||||||
\(24\) | 0.664237 | + | 0.0713992i | 0.135587 | + | 0.0145743i | ||||
\(25\) | −0.754945 | − | 4.94268i | −0.150989 | − | 0.988535i | ||||
\(26\) | −0.956956 | + | 0.552499i | −0.187674 | + | 0.108354i | ||||
\(27\) | 4.64639 | − | 2.32617i | 0.894198 | − | 0.447672i | ||||
\(28\) | 1.25899 | + | 5.65160i | 0.237926 | + | 1.06805i | ||||
\(29\) | 6.44454 | − | 3.72076i | 1.19672 | − | 0.690928i | 0.236899 | − | 0.971534i | \(-0.423869\pi\) |
0.959823 | + | 0.280607i | \(0.0905356\pi\) | |||||||
\(30\) | 7.71670 | − | 1.81092i | 1.40887 | − | 0.330627i | ||||
\(31\) | 9.47016 | − | 5.46760i | 1.70089 | − | 0.982010i | 0.756032 | − | 0.654535i | \(-0.227136\pi\) |
0.944860 | − | 0.327475i | \(-0.106198\pi\) | |||||||
\(32\) | 2.09996 | − | 7.83714i | 0.371223 | − | 1.38542i | ||||
\(33\) | −4.21240 | − | 5.22705i | −0.733285 | − | 0.909913i | ||||
\(34\) | 5.42386 | + | 9.39440i | 0.930184 | + | 1.61113i | ||||
\(35\) | 3.12634 | + | 5.02255i | 0.528448 | + | 0.848966i | ||||
\(36\) | 1.99933 | + | 6.25357i | 0.333221 | + | 1.04226i | ||||
\(37\) | −0.0266840 | + | 0.0995862i | −0.00438683 | + | 0.0163719i | −0.968085 | − | 0.250624i | \(-0.919364\pi\) |
0.963698 | + | 0.266996i | \(0.0860309\pi\) | |||||||
\(38\) | −0.982356 | − | 0.982356i | −0.159359 | − | 0.159359i | ||||
\(39\) | −0.755276 | − | 0.551468i | −0.120941 | − | 0.0883055i | ||||
\(40\) | 0.0652989 | + | 0.859991i | 0.0103247 | + | 0.135977i | ||||
\(41\) | −8.15896 | − | 4.71058i | −1.27422 | − | 0.735669i | −0.298437 | − | 0.954429i | \(-0.596465\pi\) |
−0.975779 | + | 0.218760i | \(0.929799\pi\) | |||||||
\(42\) | −7.54649 | + | 5.56850i | −1.16445 | + | 0.859238i | ||||
\(43\) | 2.41447 | + | 0.646956i | 0.368204 | + | 0.0986599i | 0.438176 | − | 0.898889i | \(-0.355625\pi\) |
−0.0699727 | + | 0.997549i | \(0.522291\pi\) | |||||||
\(44\) | 7.34575 | − | 4.24107i | 1.10741 | − | 0.639365i | ||||
\(45\) | 4.04380 | + | 5.35235i | 0.602814 | + | 0.797881i | ||||
\(46\) | 1.20670 | − | 2.09006i | 0.177918 | − | 0.308163i | ||||
\(47\) | −0.730743 | − | 2.72717i | −0.106590 | − | 0.397799i | 0.891931 | − | 0.452172i | \(-0.149351\pi\) |
−0.998521 | + | 0.0543730i | \(0.982684\pi\) | |||||||
\(48\) | 6.13960 | − | 0.957572i | 0.886174 | − | 0.138214i | ||||
\(49\) | −5.74226 | − | 4.00331i | −0.820322 | − | 0.571902i | ||||
\(50\) | 4.11050 | + | 9.37099i | 0.581313 | + | 1.32526i | ||||
\(51\) | −5.41374 | + | 7.41451i | −0.758075 | + | 1.03824i | ||||
\(52\) | 0.835523 | − | 0.835523i | 0.115866 | − | 0.115866i | ||||
\(53\) | 0.775624 | + | 2.89467i | 0.106540 | + | 0.397613i | 0.998515 | − | 0.0544712i | \(-0.0173473\pi\) |
−0.891975 | + | 0.452084i | \(0.850681\pi\) | |||||||
\(54\) | −7.95301 | + | 7.05962i | −1.08227 | + | 0.960693i | ||||
\(55\) | 5.64667 | − | 6.57463i | 0.761397 | − | 0.886523i | ||||
\(56\) | −0.472132 | − | 0.904699i | −0.0630913 | − | 0.120895i | ||||
\(57\) | 0.423942 | − | 1.09667i | 0.0561525 | − | 0.145257i | ||||
\(58\) | −10.7690 | + | 10.7690i | −1.41403 | + | 1.41403i | ||||
\(59\) | 0.953526 | + | 1.65155i | 0.124138 | + | 0.215014i | 0.921396 | − | 0.388625i | \(-0.127050\pi\) |
−0.797257 | + | 0.603640i | \(0.793717\pi\) | |||||||
\(60\) | −7.46934 | + | 4.00619i | −0.964288 | + | 0.517197i | ||||
\(61\) | −9.80279 | − | 5.65964i | −1.25512 | − | 0.724643i | −0.282997 | − | 0.959121i | \(-0.591329\pi\) |
−0.972121 | + | 0.234478i | \(0.924662\pi\) | |||||||
\(62\) | −15.8248 | + | 15.8248i | −2.00976 | + | 2.00976i | ||||
\(63\) | −6.89373 | − | 3.93401i | −0.868529 | − | 0.495638i | ||||
\(64\) | 9.42999i | 1.17875i | ||||||||
\(65\) | 0.522761 | − | 1.08826i | 0.0648405 | − | 0.134983i | ||||
\(66\) | 11.0960 | + | 8.10176i | 1.36582 | + | 0.997258i | ||||
\(67\) | −1.12459 | + | 4.19701i | −0.137390 | + | 0.512746i | 0.862587 | + | 0.505909i | \(0.168843\pi\) |
−0.999977 | + | 0.00683703i | \(0.997824\pi\) | |||||||
\(68\) | −8.20230 | − | 8.20230i | −0.994674 | − | 0.994674i | ||||
\(69\) | 2.03080 | + | 0.218292i | 0.244480 | + | 0.0262792i | ||||
\(70\) | −8.84068 | − | 8.27277i | −1.05666 | − | 0.988785i | ||||
\(71\) | −4.74485 | −0.563110 | −0.281555 | − | 0.959545i | \(-0.590850\pi\) | ||||
−0.281555 | + | 0.959545i | \(0.590850\pi\) | |||||||
\(72\) | −0.625626 | − | 0.973406i | −0.0737308 | − | 0.114717i | ||||
\(73\) | 10.8915 | − | 2.91836i | 1.27475 | − | 0.341569i | 0.442902 | − | 0.896570i | \(-0.353949\pi\) |
0.831850 | + | 0.555001i | \(0.187282\pi\) | |||||||
\(74\) | − | 0.211000i | − | 0.0245283i | ||||||
\(75\) | −5.84531 | + | 6.39002i | −0.674959 | + | 0.737855i | ||||
\(76\) | 1.28655 | + | 0.742790i | 0.147577 | + | 0.0852039i | ||||
\(77\) | −3.07360 | + | 9.78304i | −0.350269 | + | 1.11488i | ||||
\(78\) | 1.78517 | + | 0.690099i | 0.202130 | + | 0.0781383i | ||||
\(79\) | 6.88419 | + | 3.97459i | 0.774532 | + | 0.447176i | 0.834489 | − | 0.551025i | \(-0.185763\pi\) |
−0.0599572 | + | 0.998201i | \(0.519096\pi\) | |||||||
\(80\) | 2.65696 | + | 7.56923i | 0.297057 | + | 0.846266i | ||||
\(81\) | −8.18699 | − | 3.73807i | −0.909666 | − | 0.415341i | ||||
\(82\) | 18.6241 | + | 4.99032i | 2.05669 | + | 0.551088i | ||||
\(83\) | 3.62638 | − | 13.5338i | 0.398047 | − | 1.48553i | −0.418480 | − | 0.908226i | \(-0.637437\pi\) |
0.816527 | − | 0.577307i | \(-0.195896\pi\) | |||||||
\(84\) | 6.25357 | − | 7.84026i | 0.682321 | − | 0.855443i | ||||
\(85\) | −10.6834 | − | 5.13192i | −1.15878 | − | 0.556635i | ||||
\(86\) | −5.11571 | −0.551641 | ||||||||
\(87\) | −12.0221 | − | 4.64742i | −1.28890 | − | 0.498255i | ||||
\(88\) | −1.05708 | + | 1.05708i | −0.112685 | + | 0.112685i | ||||
\(89\) | 2.83044 | + | 4.90246i | 0.300026 | + | 0.519660i | 0.976141 | − | 0.217136i | \(-0.0696714\pi\) |
−0.676116 | + | 0.736795i | \(0.736338\pi\) | |||||||
\(90\) | −10.8290 | − | 8.43876i | −1.14148 | − | 0.889524i | ||||
\(91\) | −0.0608527 | + | 1.42721i | −0.00637910 | + | 0.149612i | ||||
\(92\) | −0.667939 | + | 2.49278i | −0.0696375 | + | 0.259891i | ||||
\(93\) | −17.6663 | − | 6.82931i | −1.83191 | − | 0.708166i | ||||
\(94\) | 2.88912 | + | 5.00411i | 0.297990 | + | 0.516134i | ||||
\(95\) | 1.49171 | + | 0.280726i | 0.153046 | + | 0.0288019i | ||||
\(96\) | −12.8517 | + | 5.68563i | −1.31167 | + | 0.580287i | ||||
\(97\) | 8.90909 | + | 2.38718i | 0.904581 | + | 0.242382i | 0.680982 | − | 0.732300i | \(-0.261553\pi\) |
0.223598 | + | 0.974681i | \(0.428220\pi\) | |||||||
\(98\) | 13.4720 | + | 4.87227i | 1.36088 | + | 0.492174i | ||||
\(99\) | −2.47114 | + | 11.3619i | −0.248359 | + | 1.14191i | ||||
\(100\) | −6.83926 | − | 8.54160i | −0.683926 | − | 0.854160i | ||||
\(101\) | 1.02425i | 0.101916i | 0.998701 | + | 0.0509581i | \(0.0162275\pi\) | ||||
−0.998701 | + | 0.0509581i | \(0.983773\pi\) | |||||||
\(102\) | 6.77467 | − | 17.5249i | 0.670793 | − | 1.73523i | ||||
\(103\) | 13.2657 | + | 13.2657i | 1.30711 | + | 1.30711i | 0.923490 | + | 0.383622i | \(0.125323\pi\) |
0.383622 | + | 0.923490i | \(0.374677\pi\) | |||||||
\(104\) | −0.104126 | + | 0.180352i | −0.0102104 | + | 0.0176850i | ||||
\(105\) | 3.37571 | − | 9.67494i | 0.329436 | − | 0.944178i | ||||
\(106\) | −3.06657 | − | 5.31145i | −0.297851 | − | 0.515893i | ||||
\(107\) | −3.68759 | + | 13.7623i | −0.356493 | + | 1.33045i | 0.522103 | + | 0.852882i | \(0.325148\pi\) |
−0.878596 | + | 0.477566i | \(0.841519\pi\) | |||||||
\(108\) | 6.26077 | − | 9.49294i | 0.602443 | − | 0.913459i | ||||
\(109\) | −0.105765 | − | 0.0610637i | −0.0101305 | − | 0.00584884i | 0.494926 | − | 0.868935i | \(-0.335195\pi\) |
−0.505057 | + | 0.863086i | \(0.668528\pi\) | |||||||
\(110\) | −7.68003 | + | 15.9880i | −0.732262 | + | 1.52439i | ||||
\(111\) | 0.163305 | − | 0.0722470i | 0.0155003 | − | 0.00685739i | ||||
\(112\) | −6.41969 | − | 6.99151i | −0.606604 | − | 0.660636i | ||||
\(113\) | −0.611092 | − | 2.28063i | −0.0574867 | − | 0.214543i | 0.931207 | − | 0.364490i | \(-0.118757\pi\) |
−0.988694 | + | 0.149946i | \(0.952090\pi\) | |||||||
\(114\) | −0.257170 | + | 2.39249i | −0.0240862 | + | 0.224077i | ||||
\(115\) | 0.199641 | + | 2.62929i | 0.0186166 | + | 0.245182i | ||||
\(116\) | 8.14275 | − | 14.1037i | 0.756035 | − | 1.30949i | ||||
\(117\) | 0.0771380 | + | 1.61794i | 0.00713141 | + | 0.149578i | ||||
\(118\) | −2.75978 | − | 2.75978i | −0.254059 | − | 0.254059i | ||||
\(119\) | 14.0109 | + | 0.597389i | 1.28438 | + | 0.0547625i | ||||
\(120\) | 1.08884 | − | 1.02273i | 0.0993967 | − | 0.0933623i | ||||
\(121\) | 4.02214 | 0.365649 | ||||||||
\(122\) | 22.3764 | + | 5.99574i | 2.02586 | + | 0.542829i | ||||
\(123\) | 2.51465 | + | 16.1230i | 0.226738 | + | 1.45376i | ||||
\(124\) | 11.9657 | − | 20.7251i | 1.07455 | − | 1.86117i | ||||
\(125\) | −9.48419 | − | 5.92031i | −0.848292 | − | 0.529529i | ||||
\(126\) | 15.7116 | + | 4.12534i | 1.39970 | + | 0.367515i | ||||
\(127\) | −5.76978 | − | 5.76978i | −0.511985 | − | 0.511985i | 0.403149 | − | 0.915134i | \(-0.367916\pi\) |
−0.915134 | + | 0.403149i | \(0.867916\pi\) | |||||||
\(128\) | −0.795080 | − | 2.96728i | −0.0702758 | − | 0.262273i | ||||
\(129\) | −1.75163 | − | 3.95935i | −0.154223 | − | 0.348601i | ||||
\(130\) | −0.456969 | + | 2.42822i | −0.0400788 | + | 0.212969i | ||||
\(131\) | 7.75080i | 0.677191i | 0.940932 | + | 0.338595i | \(0.109952\pi\) | ||||
−0.940932 | + | 0.338595i | \(0.890048\pi\) | |||||||
\(132\) | −13.7032 | − | 5.29731i | −1.19271 | − | 0.461072i | ||||
\(133\) | −1.75303 | + | 0.390516i | −0.152007 | + | 0.0338620i | ||||
\(134\) | − | 8.89250i | − | 0.768195i | ||||||
\(135\) | 2.82336 | − | 11.2707i | 0.242997 | − | 0.970027i | ||||
\(136\) | 1.77051 | + | 1.02221i | 0.151820 | + | 0.0876534i | ||||
\(137\) | 12.6413 | + | 12.6413i | 1.08002 | + | 1.08002i | 0.996507 | + | 0.0835129i | \(0.0266140\pi\) |
0.0835129 | + | 0.996507i | \(0.473386\pi\) | |||||||
\(138\) | −4.13019 | + | 0.644172i | −0.351585 | + | 0.0548355i | ||||
\(139\) | −4.74613 | + | 8.22053i | −0.402561 | + | 0.697256i | −0.994034 | − | 0.109068i | \(-0.965213\pi\) |
0.591473 | + | 0.806325i | \(0.298547\pi\) | |||||||
\(140\) | 11.4211 | + | 6.09812i | 0.965258 | + | 0.515385i | ||||
\(141\) | −2.88373 | + | 3.94949i | −0.242854 | + | 0.332607i | ||||
\(142\) | 9.37980 | − | 2.51331i | 0.787135 | − | 0.210912i | ||||
\(143\) | 2.02136 | − | 0.541621i | 0.169035 | − | 0.0452927i | ||||
\(144\) | −7.96414 | − | 7.23929i | −0.663678 | − | 0.603274i | ||||
\(145\) | 3.07742 | − | 16.3527i | 0.255566 | − | 1.35802i | ||||
\(146\) | −19.9849 | + | 11.5383i | −1.65396 | + | 0.954914i | ||||
\(147\) | 0.841925 | + | 12.0951i | 0.0694408 | + | 0.997586i | ||||
\(148\) | 0.0583971 | + | 0.217941i | 0.00480021 | + | 0.0179146i | ||||
\(149\) | − | 16.9602i | − | 1.38943i | −0.719284 | − | 0.694716i | \(-0.755530\pi\) | ||
0.719284 | − | 0.694716i | \(-0.244470\pi\) | |||||||
\(150\) | 8.17050 | − | 15.7282i | 0.667119 | − | 1.28421i | ||||
\(151\) | 4.57336 | 0.372175 | 0.186087 | − | 0.982533i | \(-0.440419\pi\) | ||||
0.186087 | + | 0.982533i | \(0.440419\pi\) | |||||||
\(152\) | −0.252905 | − | 0.0677658i | −0.0205133 | − | 0.00549653i | ||||
\(153\) | 15.8832 | − | 0.757261i | 1.28408 | − | 0.0612209i | ||||
\(154\) | 0.894004 | − | 20.9676i | 0.0720409 | − | 1.68961i | ||||
\(155\) | 4.52223 | − | 24.0300i | 0.363234 | − | 1.93014i | ||||
\(156\) | −2.03488 | − | 0.218731i | −0.162921 | − | 0.0175125i | ||||
\(157\) | −2.75390 | − | 0.737904i | −0.219785 | − | 0.0588912i | 0.147246 | − | 0.989100i | \(-0.452959\pi\) |
−0.367031 | + | 0.930209i | \(0.619626\pi\) | |||||||
\(158\) | −15.7142 | − | 4.21062i | −1.25016 | − | 0.334979i | ||||
\(159\) | 3.06084 | − | 4.19205i | 0.242741 | − | 0.332451i | ||||
\(160\) | −10.2348 | − | 14.9800i | −0.809134 | − | 1.18427i | ||||
\(161\) | −1.44347 | − | 2.76597i | −0.113761 | − | 0.217989i | ||||
\(162\) | 18.1644 | + | 3.05297i | 1.42713 | + | 0.239864i | ||||
\(163\) | 7.69680 | + | 2.06235i | 0.602860 | + | 0.161536i | 0.547324 | − | 0.836921i | \(-0.315647\pi\) |
0.0555361 | + | 0.998457i | \(0.482313\pi\) | |||||||
\(164\) | −20.6179 | −1.60999 | ||||||||
\(165\) | −15.0037 | − | 0.469695i | −1.16804 | − | 0.0365657i | ||||
\(166\) | 28.6751i | 2.22562i | ||||||||
\(167\) | 0.152831 | + | 0.570372i | 0.0118264 | + | 0.0441367i | 0.971587 | − | 0.236683i | \(-0.0760603\pi\) |
−0.959761 | + | 0.280820i | \(0.909394\pi\) | |||||||
\(168\) | −0.706969 | + | 1.61999i | −0.0545439 | + | 0.124985i | ||||
\(169\) | −11.0059 | + | 6.35424i | −0.846605 | + | 0.488788i | ||||
\(170\) | 23.8378 | + | 4.48605i | 1.82827 | + | 0.344064i | ||||
\(171\) | −1.93975 | + | 0.620157i | −0.148336 | + | 0.0474246i | ||||
\(172\) | 5.28399 | − | 1.41584i | 0.402900 | − | 0.107957i | ||||
\(173\) | 10.0442 | − | 2.69133i | 0.763646 | − | 0.204618i | 0.144083 | − | 0.989566i | \(-0.453977\pi\) |
0.619563 | + | 0.784947i | \(0.287310\pi\) | |||||||
\(174\) | 26.2274 | + | 2.81920i | 1.98829 | + | 0.213723i | ||||
\(175\) | 13.0745 | + | 2.01405i | 0.988342 | + | 0.152248i | ||||
\(176\) | −6.95239 | + | 12.0419i | −0.524056 | + | 0.907692i | ||||
\(177\) | 1.19100 | − | 3.08092i | 0.0895212 | − | 0.231576i | ||||
\(178\) | −8.19211 | − | 8.19211i | −0.614025 | − | 0.614025i | ||||
\(179\) | 2.02003 | + | 1.16627i | 0.150984 | + | 0.0871708i | 0.573589 | − | 0.819143i | \(-0.305551\pi\) |
−0.422605 | + | 0.906314i | \(0.638884\pi\) | |||||||
\(180\) | 13.5208 | + | 5.71927i | 1.00778 | + | 0.426289i | ||||
\(181\) | 11.0706i | 0.822873i | 0.911438 | + | 0.411436i | \(0.134973\pi\) | ||||
−0.911438 | + | 0.411436i | \(0.865027\pi\) | |||||||
\(182\) | −0.635687 | − | 2.85360i | −0.0471203 | − | 0.211523i | ||||
\(183\) | 3.02129 | + | 19.3714i | 0.223340 | + | 1.43197i | ||||
\(184\) | − | 0.454840i | − | 0.0335312i | ||||||
\(185\) | 0.130053 | + | 0.190350i | 0.00956172 | + | 0.0139948i | ||||
\(186\) | 38.5408 | + | 4.14277i | 2.82595 | + | 0.303762i | ||||
\(187\) | −5.31708 | − | 19.8436i | −0.388823 | − | 1.45111i | ||||
\(188\) | −4.36911 | − | 4.36911i | −0.318650 | − | 0.318650i | ||||
\(189\) | 2.18686 | + | 13.5727i | 0.159070 | + | 0.987267i | ||||
\(190\) | −3.09757 | + | 0.235198i | −0.224721 | + | 0.0170630i | ||||
\(191\) | 5.04194 | − | 8.73289i | 0.364822 | − | 0.631890i | −0.623926 | − | 0.781484i | \(-0.714463\pi\) |
0.988748 | + | 0.149594i | \(0.0477965\pi\) | |||||||
\(192\) | 12.7175 | − | 10.2488i | 0.917807 | − | 0.739647i | ||||
\(193\) | −15.9935 | − | 4.28545i | −1.15124 | − | 0.308473i | −0.367777 | − | 0.929914i | \(-0.619881\pi\) |
−0.783461 | + | 0.621441i | \(0.786548\pi\) | |||||||
\(194\) | −18.8763 | −1.35524 | ||||||||
\(195\) | −2.03581 | + | 0.477756i | −0.145788 | + | 0.0342128i | ||||
\(196\) | −15.2637 | − | 1.30398i | −1.09026 | − | 0.0931413i | ||||
\(197\) | −1.28087 | − | 1.28087i | −0.0912585 | − | 0.0912585i | 0.660004 | − | 0.751262i | \(-0.270555\pi\) |
−0.751262 | + | 0.660004i | \(0.770555\pi\) | |||||||
\(198\) | −1.13326 | − | 23.7696i | −0.0805370 | − | 1.68923i | ||||
\(199\) | −7.90739 | + | 13.6960i | −0.560540 | + | 0.970884i | 0.436909 | + | 0.899506i | \(0.356073\pi\) |
−0.997449 | + | 0.0713785i | \(0.977260\pi\) | |||||||
\(200\) | 1.55395 | + | 1.14214i | 0.109881 | + | 0.0807618i | ||||
\(201\) | 6.88243 | − | 3.04482i | 0.485449 | − | 0.214765i | ||||
\(202\) | −0.542535 | − | 2.02477i | −0.0381726 | − | 0.142462i | ||||
\(203\) | 4.28099 | + | 19.2174i | 0.300466 | + | 1.34879i | ||||
\(204\) | −2.14727 | + | 19.9764i | −0.150339 | + | 1.39863i | ||||
\(205\) | −19.8773 | + | 6.97735i | −1.38829 | + | 0.487319i | ||||
\(206\) | −33.2510 | − | 19.1975i | −2.31671 | − | 1.33755i | ||||
\(207\) | −1.91275 | − | 2.97603i | −0.132945 | − | 0.206849i | ||||
\(208\) | −0.501335 | + | 1.87101i | −0.0347613 | + | 0.129731i | ||||
\(209\) | 1.31551 | + | 2.27852i | 0.0909954 | + | 0.157609i | ||||
\(210\) | −1.54850 | + | 20.9139i | −0.106856 | + | 1.44320i | ||||
\(211\) | 7.59921 | − | 13.1622i | 0.523151 | − | 0.906124i | −0.476486 | − | 0.879182i | \(-0.658090\pi\) |
0.999637 | − | 0.0269419i | \(-0.00857692\pi\) | |||||||
\(212\) | 4.63745 | + | 4.63745i | 0.318501 | + | 0.318501i | ||||
\(213\) | 5.15687 | + | 6.39902i | 0.353343 | + | 0.438454i | ||||
\(214\) | − | 29.1591i | − | 1.99327i | ||||||
\(215\) | 4.61506 | − | 3.15315i | 0.314744 | − | 0.215043i | ||||
\(216\) | −0.632807 | + | 1.90167i | −0.0430570 | + | 0.129392i | ||||
\(217\) | 6.29085 | + | 28.2396i | 0.427050 | + | 1.91703i | ||||
\(218\) | 0.241426 | + | 0.0646900i | 0.0163514 | + | 0.00438136i | ||||
\(219\) | −15.7730 | − | 11.5167i | −1.06584 | − | 0.778229i | ||||
\(220\) | 3.50777 | − | 18.6394i | 0.236494 | − | 1.25667i | ||||
\(221\) | −1.43092 | − | 2.47842i | −0.0962539 | − | 0.166717i | ||||
\(222\) | −0.284560 | + | 0.229322i | −0.0190984 | + | 0.0153911i | ||||
\(223\) | −1.25875 | + | 4.69773i | −0.0842923 | + | 0.314583i | −0.995179 | − | 0.0980728i | \(-0.968732\pi\) |
0.910887 | + | 0.412656i | \(0.135399\pi\) | |||||||
\(224\) | 18.1165 | + | 11.5155i | 1.21046 | + | 0.769411i | ||||
\(225\) | 14.9706 | + | 0.938238i | 0.998042 | + | 0.0625492i | ||||
\(226\) | 2.41606 | + | 4.18474i | 0.160714 | + | 0.278365i | ||||
\(227\) | −16.1361 | + | 16.1361i | −1.07099 | + | 1.07099i | −0.0737142 | + | 0.997279i | \(0.523485\pi\) |
−0.997279 | + | 0.0737142i | \(0.976515\pi\) | |||||||
\(228\) | −0.396524 | − | 2.54236i | −0.0262604 | − | 0.168372i | ||||
\(229\) | 18.0304 | 1.19148 | 0.595740 | − | 0.803177i | \(-0.296859\pi\) | ||||
0.595740 | + | 0.803177i | \(0.296859\pi\) | |||||||
\(230\) | −1.78737 | − | 5.09193i | −0.117856 | − | 0.335752i | ||||
\(231\) | 16.5342 | − | 6.48743i | 1.08787 | − | 0.426842i | ||||
\(232\) | −0.742874 | + | 2.77244i | −0.0487721 | + | 0.182020i | ||||
\(233\) | −17.6442 | − | 4.72774i | −1.15591 | − | 0.309724i | −0.370577 | − | 0.928802i | \(-0.620840\pi\) |
−0.785330 | + | 0.619077i | \(0.787507\pi\) | |||||||
\(234\) | −1.00950 | − | 3.15754i | −0.0659930 | − | 0.206415i | ||||
\(235\) | −5.69075 | − | 2.73362i | −0.371223 | − | 0.178322i | ||||
\(236\) | 3.61437 | + | 2.08676i | 0.235275 | + | 0.135836i | ||||
\(237\) | −2.12175 | − | 13.6039i | −0.137823 | − | 0.883669i | ||||
\(238\) | −28.0137 | + | 6.24052i | −1.81586 | + | 0.404513i | ||||
\(239\) | −15.7301 | − | 9.08177i | −1.01750 | − | 0.587451i | −0.104118 | − | 0.994565i | \(-0.533202\pi\) |
−0.913377 | + | 0.407114i | \(0.866535\pi\) | |||||||
\(240\) | 7.32037 | − | 11.8097i | 0.472528 | − | 0.762316i | ||||
\(241\) | − | 4.13409i | − | 0.266300i | −0.991096 | − | 0.133150i | \(-0.957491\pi\) | ||
0.991096 | − | 0.133150i | \(-0.0425093\pi\) | |||||||
\(242\) | −7.95112 | + | 2.13050i | −0.511117 | + | 0.136953i | ||||
\(243\) | 3.85667 | + | 15.1038i | 0.247405 | + | 0.968912i | ||||
\(244\) | −24.7719 | −1.58586 | ||||||||
\(245\) | −15.1567 | + | 3.90827i | −0.968326 | + | 0.249690i | ||||
\(246\) | −13.5113 | − | 30.5406i | −0.861448 | − | 1.94720i | ||||
\(247\) | 0.259164 | + | 0.259164i | 0.0164902 | + | 0.0164902i | ||||
\(248\) | −1.09164 | + | 4.07406i | −0.0693194 | + | 0.258703i | ||||
\(249\) | −22.1934 | + | 9.81844i | −1.40645 | + | 0.622218i | ||||
\(250\) | 21.8847 | + | 6.67980i | 1.38411 | + | 0.422468i | ||||
\(251\) | − | 16.6890i | − | 1.05340i | −0.850051 | − | 0.526700i | \(-0.823429\pi\) | ||
0.850051 | − | 0.526700i | \(-0.176571\pi\) | |||||||
\(252\) | −17.3702 | + | 0.0873551i | −1.09422 | + | 0.00550286i | ||||
\(253\) | −3.23186 | + | 3.23186i | −0.203185 | + | 0.203185i | ||||
\(254\) | 14.4621 | + | 8.34972i | 0.907435 | + | 0.523908i | ||||
\(255\) | 4.69011 | + | 19.9855i | 0.293706 | + | 1.25154i | ||||
\(256\) | −6.28649 | − | 10.8885i | −0.392906 | − | 0.680533i | ||||
\(257\) | −1.37861 | + | 1.37861i | −0.0859952 | + | 0.0859952i | −0.748796 | − | 0.662801i | \(-0.769368\pi\) |
0.662801 | + | 0.748796i | \(0.269368\pi\) | |||||||
\(258\) | 5.55994 | + | 6.89917i | 0.346147 | + | 0.429524i | ||||
\(259\) | −0.230206 | − | 0.146327i | −0.0143043 | − | 0.00909230i | ||||
\(260\) | −0.200042 | − | 2.63457i | −0.0124061 | − | 0.163389i | ||||
\(261\) | 6.79839 | + | 21.2642i | 0.420810 | + | 1.31622i | ||||
\(262\) | −4.10554 | − | 15.3221i | −0.253641 | − | 0.946601i | ||||
\(263\) | −17.1949 | + | 17.1949i | −1.06029 | + | 1.06029i | −0.0622230 | + | 0.998062i | \(0.519819\pi\) |
−0.998062 | + | 0.0622230i | \(0.980181\pi\) | |||||||
\(264\) | 2.57448 | + | 0.276732i | 0.158448 | + | 0.0170317i | ||||
\(265\) | 6.04025 | + | 2.90151i | 0.371050 | + | 0.178238i | ||||
\(266\) | 3.25860 | − | 1.70055i | 0.199797 | − | 0.104268i | ||||
\(267\) | 3.53536 | − | 9.14536i | 0.216360 | − | 0.559687i | ||||
\(268\) | 2.46112 | + | 9.18501i | 0.150337 | + | 0.561064i | ||||
\(269\) | −10.7801 | + | 18.6716i | −0.657271 | + | 1.13843i | 0.324048 | + | 0.946041i | \(0.394956\pi\) |
−0.981319 | + | 0.192387i | \(0.938377\pi\) | |||||||
\(270\) | 0.388666 | + | 23.7759i | 0.0236534 | + | 1.44695i | ||||
\(271\) | −8.24416 | + | 4.75977i | −0.500797 | + | 0.289135i | −0.729043 | − | 0.684468i | \(-0.760034\pi\) |
0.228246 | + | 0.973604i | \(0.426701\pi\) | |||||||
\(272\) | 18.3676 | + | 4.92159i | 1.11370 | + | 0.298415i | ||||
\(273\) | 1.99091 | − | 1.46908i | 0.120495 | − | 0.0889126i | ||||
\(274\) | −31.6858 | − | 18.2938i | −1.91421 | − | 1.10517i | ||||
\(275\) | −2.92605 | − | 19.1570i | −0.176447 | − | 1.15521i | ||||
\(276\) | 4.08777 | − | 1.80845i | 0.246055 | − | 0.108856i | ||||
\(277\) | 9.80319 | + | 9.80319i | 0.589017 | + | 0.589017i | 0.937365 | − | 0.348348i | \(-0.113257\pi\) |
−0.348348 | + | 0.937365i | \(0.613257\pi\) | |||||||
\(278\) | 5.02797 | − | 18.7646i | 0.301558 | − | 1.12543i | ||||
\(279\) | 9.99014 | + | 31.2475i | 0.598094 | + | 1.87074i | ||||
\(280\) | −2.22249 | − | 0.517164i | −0.132819 | − | 0.0309065i | ||||
\(281\) | −0.947488 | − | 1.64110i | −0.0565224 | − | 0.0978996i | 0.836380 | − | 0.548150i | \(-0.184668\pi\) |
−0.892902 | + | 0.450251i | \(0.851335\pi\) | |||||||
\(282\) | 3.60866 | − | 9.33499i | 0.214893 | − | 0.555890i | ||||
\(283\) | 1.75037 | − | 6.53245i | 0.104048 | − | 0.388314i | −0.894187 | − | 0.447694i | \(-0.852246\pi\) |
0.998235 | + | 0.0593795i | \(0.0189122\pi\) | |||||||
\(284\) | −8.99275 | + | 5.19197i | −0.533622 | + | 0.308087i | ||||
\(285\) | −1.24265 | − | 2.31686i | −0.0736082 | − | 0.137239i | ||||
\(286\) | −3.70901 | + | 2.14140i | −0.219318 | + | 0.126623i | ||||
\(287\) | 18.3602 | − | 16.8586i | 1.08377 | − | 0.995129i | ||||
\(288\) | 21.6354 | + | 11.1527i | 1.27488 | + | 0.657181i | ||||
\(289\) | −9.60814 | + | 5.54726i | −0.565185 | + | 0.326310i | ||||
\(290\) | 2.57833 | + | 33.9567i | 0.151404 | + | 1.99401i | ||||
\(291\) | −6.46330 | − | 14.6095i | −0.378885 | − | 0.856423i | ||||
\(292\) | 17.4489 | − | 17.4489i | 1.02112 | − | 1.02112i | ||||
\(293\) | −7.34850 | + | 1.96903i | −0.429304 | + | 0.115032i | −0.466999 | − | 0.884258i | \(-0.654665\pi\) |
0.0376954 | + | 0.999289i | \(0.487998\pi\) | |||||||
\(294\) | −8.07102 | − | 23.4641i | −0.470712 | − | 1.36845i | ||||
\(295\) | 4.19073 | + | 0.788657i | 0.243994 | + | 0.0459174i | ||||
\(296\) | −0.0198830 | − | 0.0344384i | −0.00115568 | − | 0.00200169i | ||||
\(297\) | 18.0087 | − | 9.01587i | 1.04497 | − | 0.523154i | ||||
\(298\) | 8.98368 | + | 33.5276i | 0.520411 | + | 1.94220i | ||||
\(299\) | −0.318350 | + | 0.551398i | −0.0184107 | + | 0.0318882i | ||||
\(300\) | −4.08626 | + | 18.5069i | −0.235921 | + | 1.06850i | ||||
\(301\) | −3.54770 | + | 5.58135i | −0.204486 | + | 0.321703i | ||||
\(302\) | −9.04080 | + | 2.42247i | −0.520239 | + | 0.139398i | ||||
\(303\) | 1.38132 | − | 1.11319i | 0.0793549 | − | 0.0639509i | ||||
\(304\) | −2.43531 | −0.139675 | ||||||||
\(305\) | −23.8821 | + | 8.38311i | −1.36749 | + | 0.480015i | ||||
\(306\) | −30.9975 | + | 9.91021i | −1.77201 | + | 0.566529i | ||||
\(307\) | −5.93836 | + | 5.93836i | −0.338920 | + | 0.338920i | −0.855961 | − | 0.517041i | \(-0.827034\pi\) |
0.517041 | + | 0.855961i | \(0.327034\pi\) | |||||||
\(308\) | 4.87964 | + | 21.9047i | 0.278043 | + | 1.24814i | ||||
\(309\) | 3.47282 | − | 32.3082i | 0.197562 | − | 1.83795i | ||||
\(310\) | 3.78881 | + | 49.8989i | 0.215190 | + | 2.83407i | ||||
\(311\) | 14.1331 | − | 8.15977i | 0.801416 | − | 0.462698i | −0.0425498 | − | 0.999094i | \(-0.513548\pi\) |
0.843966 | + | 0.536396i | \(0.180215\pi\) | |||||||
\(312\) | 0.356396 | − | 0.0555858i | 0.0201769 | − | 0.00314693i | ||||
\(313\) | 9.96326 | − | 2.66965i | 0.563157 | − | 0.150897i | 0.0340005 | − | 0.999422i | \(-0.489175\pi\) |
0.529156 | + | 0.848524i | \(0.322509\pi\) | |||||||
\(314\) | 5.83487 | 0.329281 | ||||||||
\(315\) | −16.7167 | + | 5.96251i | −0.941880 | + | 0.335949i | ||||
\(316\) | 17.3965 | 0.978629 | ||||||||
\(317\) | −8.62323 | + | 2.31059i | −0.484329 | + | 0.129776i | −0.492718 | − | 0.870189i | \(-0.663996\pi\) |
0.00838862 | + | 0.999965i | \(0.497330\pi\) | |||||||
\(318\) | −3.83030 | + | 9.90832i | −0.214792 | + | 0.555631i | ||||
\(319\) | 24.9780 | − | 14.4211i | 1.39850 | − | 0.807425i | ||||
\(320\) | 15.9962 | + | 13.7384i | 0.894214 | + | 0.768003i | ||||
\(321\) | 22.5679 | − | 9.98415i | 1.25962 | − | 0.557261i | ||||
\(322\) | 4.31862 | + | 4.70329i | 0.240667 | + | 0.262104i | ||||
\(323\) | 2.54421 | − | 2.54421i | 0.141563 | − | 0.141563i | ||||
\(324\) | −19.6068 | + | 1.87384i | −1.08927 | + | 0.104102i | ||||
\(325\) | −1.08443 | − | 2.47225i | −0.0601533 | − | 0.137136i | ||||
\(326\) | −16.3077 | −0.903203 | ||||||||
\(327\) | 0.0325976 | + | 0.209004i | 0.00180265 | + | 0.0115580i | ||||
\(328\) | 3.50999 | − | 0.940498i | 0.193807 | − | 0.0519303i | ||||
\(329\) | 7.46317 | + | 0.318211i | 0.411458 | + | 0.0175435i | ||||
\(330\) | 29.9087 | − | 7.01884i | 1.64642 | − | 0.386374i | ||||
\(331\) | −13.8963 | + | 24.0691i | −0.763809 | + | 1.32296i | 0.177066 | + | 0.984199i | \(0.443339\pi\) |
−0.940874 | + | 0.338756i | \(0.889994\pi\) | |||||||
\(332\) | −7.93621 | − | 29.6183i | −0.435556 | − | 1.62552i | ||||
\(333\) | −0.274920 | − | 0.141717i | −0.0150655 | − | 0.00776605i | ||||
\(334\) | −0.604243 | − | 1.04658i | −0.0330627 | − | 0.0572663i | ||||
\(335\) | 5.48104 | + | 8.02223i | 0.299461 | + | 0.438301i | ||||
\(336\) | −2.45177 | + | 16.2564i | −0.133755 | + | 0.886858i | ||||
\(337\) | −27.2948 | + | 7.31363i | −1.48684 | + | 0.398399i | −0.908670 | − | 0.417515i | \(-0.862901\pi\) |
−0.578174 | + | 0.815913i | \(0.696235\pi\) | |||||||
\(338\) | 18.3910 | − | 18.3910i | 1.00034 | − | 1.00034i | ||||
\(339\) | −2.41155 | + | 3.30280i | −0.130978 | + | 0.179384i | ||||
\(340\) | −25.8635 | + | 1.96381i | −1.40264 | + | 0.106502i | ||||
\(341\) | 36.7048 | − | 21.1915i | 1.98768 | − | 1.14759i | ||||
\(342\) | 3.50607 | − | 2.25342i | 0.189587 | − | 0.121851i | ||||
\(343\) | 14.6585 | − | 11.3194i | 0.791484 | − | 0.611190i | ||||
\(344\) | −0.834962 | + | 0.482065i | −0.0450181 | + | 0.0259912i | ||||
\(345\) | 3.32894 | − | 3.12684i | 0.179224 | − | 0.168344i | ||||
\(346\) | −18.4302 | + | 10.6407i | −0.990812 | + | 0.572046i | ||||
\(347\) | −5.69208 | + | 21.2431i | −0.305567 | + | 1.14039i | 0.626889 | + | 0.779108i | \(0.284328\pi\) |
−0.932456 | + | 0.361283i | \(0.882339\pi\) | |||||||
\(348\) | −27.8704 | + | 4.34685i | −1.49401 | + | 0.233015i | ||||
\(349\) | 7.77097 | + | 13.4597i | 0.415970 | + | 0.720482i | 0.995530 | − | 0.0944482i | \(-0.0301087\pi\) |
−0.579559 | + | 0.814930i | \(0.696775\pi\) | |||||||
\(350\) | −26.9131 | + | 2.94403i | −1.43856 | + | 0.157365i | ||||
\(351\) | 2.09816 | − | 1.86246i | 0.111991 | − | 0.0994109i | ||||
\(352\) | 8.13909 | − | 30.3755i | 0.433815 | − | 1.61902i | ||||
\(353\) | 7.95830 | + | 7.95830i | 0.423577 | + | 0.423577i | 0.886433 | − | 0.462856i | \(-0.153175\pi\) |
−0.462856 | + | 0.886433i | \(0.653175\pi\) | |||||||
\(354\) | −0.722480 | + | 6.72134i | −0.0383994 | + | 0.357235i | ||||
\(355\) | −6.91272 | + | 8.04874i | −0.366889 | + | 0.427183i | ||||
\(356\) | 10.7289 | + | 6.19431i | 0.568628 | + | 0.328298i | ||||
\(357\) | −14.4219 | − | 19.5447i | −0.763286 | − | 1.03441i | ||||
\(358\) | −4.61104 | − | 1.23552i | −0.243701 | − | 0.0652995i | ||||
\(359\) | −4.78738 | + | 2.76400i | −0.252668 | + | 0.145878i | −0.620985 | − | 0.783822i | \(-0.713267\pi\) |
0.368317 | + | 0.929700i | \(0.379934\pi\) | |||||||
\(360\) | −2.56267 | − | 0.356888i | −0.135064 | − | 0.0188097i | ||||
\(361\) | 9.26960 | − | 16.0554i | 0.487874 | − | 0.845022i | ||||
\(362\) | −5.86402 | − | 21.8848i | −0.308206 | − | 1.15024i | ||||
\(363\) | −4.37140 | − | 5.42435i | −0.229439 | − | 0.284705i | ||||
\(364\) | 1.44637 | + | 2.77153i | 0.0758103 | + | 0.145268i | ||||
\(365\) | 10.9172 | − | 22.7271i | 0.571434 | − | 1.18959i | ||||
\(366\) | −16.2335 | − | 36.6937i | −0.848537 | − | 1.91801i | ||||
\(367\) | 14.7877 | − | 14.7877i | 0.771913 | − | 0.771913i | −0.206527 | − | 0.978441i | \(-0.566216\pi\) |
0.978441 | + | 0.206527i | \(0.0662162\pi\) | |||||||
\(368\) | −1.09495 | − | 4.08642i | −0.0570784 | − | 0.213019i | ||||
\(369\) | 19.0109 | − | 20.9144i | 0.989666 | − | 1.08876i | ||||
\(370\) | −0.357922 | − | 0.307404i | −0.0186075 | − | 0.0159812i | ||||
\(371\) | −7.92154 | − | 0.337754i | −0.411266 | − | 0.0175353i | ||||
\(372\) | −40.9551 | + | 6.38762i | −2.12342 | + | 0.331183i | ||||
\(373\) | 21.4174 | − | 21.4174i | 1.10895 | − | 1.10895i | 0.115665 | − | 0.993288i | \(-0.463100\pi\) |
0.993288 | − | 0.115665i | \(-0.0368998\pi\) | |||||||
\(374\) | 21.0220 | + | 36.4112i | 1.08702 | + | 1.88278i | ||||
\(375\) | 2.32348 | + | 19.2250i | 0.119984 | + | 0.992776i | ||||
\(376\) | 0.943098 | + | 0.544498i | 0.0486366 | + | 0.0280803i | ||||
\(377\) | 2.84106 | − | 2.84106i | 0.146322 | − | 0.146322i | ||||
\(378\) | −11.5124 | − | 25.6726i | −0.592134 | − | 1.32046i | ||||
\(379\) | 32.5318i | 1.67105i | 0.549455 | + | 0.835523i | \(0.314835\pi\) | ||||
−0.549455 | + | 0.835523i | \(0.685165\pi\) | |||||||
\(380\) | 3.13437 | − | 1.10023i | 0.160790 | − | 0.0564404i | ||||
\(381\) | −1.51046 | + | 14.0521i | −0.0773835 | + | 0.719910i | ||||
\(382\) | −5.34135 | + | 19.9342i | −0.273287 | + | 1.01992i | ||||
\(383\) | −21.8532 | − | 21.8532i | −1.11665 | − | 1.11665i | −0.992230 | − | 0.124417i | \(-0.960294\pi\) |
−0.124417 | − | 0.992230i | \(-0.539706\pi\) | |||||||
\(384\) | −3.13763 | + | 4.29721i | −0.160116 | + | 0.219291i | ||||
\(385\) | 12.1172 | + | 19.4666i | 0.617550 | + | 0.992110i | ||||
\(386\) | 33.8866 | 1.72478 | ||||||||
\(387\) | −3.43594 | + | 6.66546i | −0.174659 | + | 0.338824i | ||||
\(388\) | 19.4972 | − | 5.22426i | 0.989821 | − | 0.265222i | ||||
\(389\) | − | 29.2354i | − | 1.48229i | −0.671344 | − | 0.741146i | \(-0.734283\pi\) | ||
0.671344 | − | 0.741146i | \(-0.265717\pi\) | |||||||
\(390\) | 3.77141 | − | 2.02280i | 0.190973 | − | 0.102429i | ||||
\(391\) | 5.41306 | + | 3.12523i | 0.273750 | + | 0.158050i | ||||
\(392\) | 2.65797 | − | 0.474273i | 0.134248 | − | 0.0239544i | ||||
\(393\) | 10.4529 | − | 8.42385i | 0.527280 | − | 0.424927i | ||||
\(394\) | 3.21055 | + | 1.85361i | 0.161745 | + | 0.0933836i | ||||
\(395\) | 16.7716 | − | 5.88719i | 0.843873 | − | 0.296217i | ||||
\(396\) | 7.74908 | + | 24.2378i | 0.389406 | + | 1.21800i | ||||
\(397\) | −12.5934 | − | 3.37440i | −0.632046 | − | 0.169356i | −0.0714479 | − | 0.997444i | \(-0.522762\pi\) |
−0.560598 | + | 0.828088i | \(0.689429\pi\) | |||||||
\(398\) | 8.37697 | − | 31.2633i | 0.419900 | − | 1.56709i | ||||
\(399\) | 2.43191 | + | 1.93975i | 0.121748 | + | 0.0971089i | ||||
\(400\) | 16.7107 | + | 6.52051i | 0.835533 | + | 0.326025i | ||||
\(401\) | 34.3118 | 1.71345 | 0.856725 | − | 0.515774i | \(-0.172496\pi\) | ||||
0.856725 | + | 0.515774i | \(0.172496\pi\) | |||||||
\(402\) | −11.9926 | + | 9.66468i | −0.598138 | + | 0.482030i | ||||
\(403\) | 4.17490 | − | 4.17490i | 0.207966 | − | 0.207966i | ||||
\(404\) | 1.12076 | + | 1.94122i | 0.0557600 | + | 0.0965792i | ||||
\(405\) | −18.2685 | + | 8.44174i | −0.907768 | + | 0.419473i | ||||
\(406\) | −18.6421 | − | 35.7220i | −0.925192 | − | 1.77285i | ||||
\(407\) | −0.103423 | + | 0.385980i | −0.00512649 | + | 0.0191323i | ||||
\(408\) | −0.545684 | − | 3.49873i | −0.0270154 | − | 0.173213i | ||||
\(409\) | −8.54923 | − | 14.8077i | −0.422732 | − | 0.732194i | 0.573473 | − | 0.819224i | \(-0.305596\pi\) |
−0.996206 | + | 0.0870304i | \(0.972262\pi\) | |||||||
\(410\) | 35.5984 | − | 24.3220i | 1.75808 | − | 1.20118i | ||||
\(411\) | 3.30935 | − | 30.7874i | 0.163238 | − | 1.51863i | ||||
\(412\) | 39.6579 | + | 10.6263i | 1.95380 | + | 0.523520i | ||||
\(413\) | −4.92486 | + | 1.09710i | −0.242337 | + | 0.0539846i | ||||
\(414\) | 5.35759 | + | 4.86997i | 0.263311 | + | 0.239346i | ||||
\(415\) | −17.6744 | − | 25.8688i | −0.867601 | − | 1.26985i | ||||
\(416\) | − | 4.38074i | − | 0.214783i | ||||||
\(417\) | 16.2447 | − | 2.53362i | 0.795505 | − | 0.124072i | ||||
\(418\) | −3.80746 | − | 3.80746i | −0.186229 | − | 0.186229i | ||||
\(419\) | 5.46240 | − | 9.46116i | 0.266856 | − | 0.462208i | −0.701192 | − | 0.712972i | \(-0.747349\pi\) |
0.968048 | + | 0.250764i | \(0.0806819\pi\) | |||||||
\(420\) | −4.18876 | − | 22.0304i | −0.204391 | − | 1.07497i | ||||
\(421\) | 0.816555 | + | 1.41431i | 0.0397964 | + | 0.0689295i | 0.885238 | − | 0.465139i | \(-0.153996\pi\) |
−0.845441 | + | 0.534069i | \(0.820662\pi\) | |||||||
\(422\) | −8.05048 | + | 30.0448i | −0.391891 | + | 1.46256i | ||||
\(423\) | 8.46052 | − | 0.403370i | 0.411364 | − | 0.0196125i | ||||
\(424\) | −1.00102 | − | 0.577939i | −0.0486138 | − | 0.0280672i | ||||
\(425\) | −24.2699 | + | 10.6458i | −1.17727 | + | 0.516397i | ||||
\(426\) | −13.5838 | − | 9.91827i | −0.658138 | − | 0.480542i | ||||
\(427\) | 22.0593 | − | 20.2551i | 1.06752 | − | 0.980215i | ||||
\(428\) | 8.07016 | + | 30.1182i | 0.390086 | + | 1.45582i | ||||
\(429\) | −2.92733 | − | 2.13740i | −0.141333 | − | 0.103195i | ||||
\(430\) | −7.45303 | + | 8.67784i | −0.359417 | + | 0.418482i | ||||
\(431\) | −19.5088 | + | 33.7903i | −0.939707 | + | 1.62762i | −0.173690 | + | 0.984800i | \(0.555569\pi\) |
−0.766017 | + | 0.642820i | \(0.777764\pi\) | |||||||
\(432\) | −1.10737 | + | 18.6085i | −0.0532785 | + | 0.895304i | ||||
\(433\) | −7.59153 | − | 7.59153i | −0.364826 | − | 0.364826i | 0.500760 | − | 0.865586i | \(-0.333054\pi\) |
−0.865586 | + | 0.500760i | \(0.833054\pi\) | |||||||
\(434\) | −27.3943 | − | 52.4929i | −1.31497 | − | 2.51974i | ||||
\(435\) | −25.3983 | + | 13.6224i | −1.21776 | + | 0.653144i | ||||
\(436\) | −0.267272 | −0.0128000 | ||||||||
\(437\) | −0.773217 | − | 0.207183i | −0.0369880 | − | 0.00991091i | ||||
\(438\) | 37.2811 | + | 14.4119i | 1.78136 | + | 0.688626i | ||||
\(439\) | −8.96733 | + | 15.5319i | −0.427987 | + | 0.741295i | −0.996694 | − | 0.0812447i | \(-0.974110\pi\) |
0.568707 | + | 0.822540i | \(0.307444\pi\) | |||||||
\(440\) | 0.253088 | + | 3.33319i | 0.0120655 | + | 0.158904i | ||||
\(441\) | 15.3967 | − | 14.2808i | 0.733176 | − | 0.680039i | ||||
\(442\) | 4.14149 | + | 4.14149i | 0.196991 | + | 0.196991i | ||||
\(443\) | 0.584799 | + | 2.18250i | 0.0277847 | + | 0.103694i | 0.978426 | − | 0.206599i | \(-0.0662396\pi\) |
−0.950641 | + | 0.310293i | \(0.899573\pi\) | |||||||
\(444\) | 0.230452 | − | 0.315622i | 0.0109368 | − | 0.0149787i | ||||
\(445\) | 12.4397 | + | 2.34104i | 0.589700 | + | 0.110976i | ||||
\(446\) | − | 9.95340i | − | 0.471307i | ||||||
\(447\) | −22.8729 | + | 18.4329i | −1.08185 | + | 0.871848i | ||||
\(448\) | −23.8023 | − | 7.47812i | −1.12455 | − | 0.353308i | ||||
\(449\) | 35.8972i | 1.69409i | 0.531518 | + | 0.847047i | \(0.321622\pi\) | ||||
−0.531518 | + | 0.847047i | \(0.678378\pi\) | |||||||
\(450\) | −30.0915 | + | 6.07508i | −1.41853 | + | 0.286382i | ||||
\(451\) | −31.6228 | − | 18.2575i | −1.48906 | − | 0.859710i | ||||
\(452\) | −3.65372 | − | 3.65372i | −0.171856 | − | 0.171856i | ||||
\(453\) | −4.97049 | − | 6.16775i | −0.233534 | − | 0.289786i | ||||
\(454\) | 23.3514 | − | 40.4457i | 1.09593 | − | 1.89821i | ||||
\(455\) | 2.33234 | + | 2.18252i | 0.109342 | + | 0.102318i | ||||
\(456\) | 0.183476 | + | 0.414724i | 0.00859204 | + | 0.0194213i | ||||
\(457\) | 8.70059 | − | 2.33132i | 0.406996 | − | 0.109054i | −0.0495119 | − | 0.998774i | \(-0.515767\pi\) |
0.456508 | + | 0.889719i | \(0.349100\pi\) | |||||||
\(458\) | −35.6431 | + | 9.55055i | −1.66549 | + | 0.446268i | ||||
\(459\) | −18.2837 | − | 20.5975i | −0.853412 | − | 0.961409i | ||||
\(460\) | 3.25542 | + | 4.76474i | 0.151785 | + | 0.222157i | ||||
\(461\) | −13.3561 | + | 7.71113i | −0.622054 | + | 0.359143i | −0.777668 | − | 0.628675i | \(-0.783598\pi\) |
0.155614 | + | 0.987818i | \(0.450264\pi\) | |||||||
\(462\) | −29.2490 | + | 21.5826i | −1.36079 | + | 1.00411i | ||||
\(463\) | 3.25045 | + | 12.1309i | 0.151061 | + | 0.563769i | 0.999410 | + | 0.0343316i | \(0.0109302\pi\) |
−0.848349 | + | 0.529437i | \(0.822403\pi\) | |||||||
\(464\) | 26.6968i | 1.23937i | ||||||||
\(465\) | −37.3224 | + | 20.0179i | −1.73079 | + | 0.928309i | ||||
\(466\) | 37.3839 | 1.73178 | ||||||||
\(467\) | −37.0440 | − | 9.92592i | −1.71419 | − | 0.459317i | −0.737747 | − | 0.675077i | \(-0.764110\pi\) |
−0.976446 | + | 0.215760i | \(0.930777\pi\) | |||||||
\(468\) | 1.91660 | + | 2.98202i | 0.0885948 | + | 0.137844i | ||||
\(469\) | −9.70190 | − | 6.16687i | −0.447992 | − | 0.284759i | ||||
\(470\) | 12.6977 | + | 2.38958i | 0.585699 | + | 0.110223i | ||||
\(471\) | 1.99788 | + | 4.51595i | 0.0920573 | + | 0.208084i | ||||
\(472\) | −0.710499 | − | 0.190378i | −0.0327034 | − | 0.00876284i | ||||
\(473\) | 9.35811 | + | 2.50750i | 0.430286 | + | 0.115295i | ||||
\(474\) | 11.4003 | + | 25.7689i | 0.523631 | + | 1.18360i | ||||
\(475\) | 2.64945 | − | 2.12142i | 0.121565 | − | 0.0973373i | ||||
\(476\) | 27.2080 | − | 14.1989i | 1.24708 | − | 0.650808i | ||||
\(477\) | −8.98014 | + | 0.428144i | −0.411172 | + | 0.0196033i | ||||
\(478\) | 35.9064 | + | 9.62109i | 1.64232 | + | 0.440058i | ||||
\(479\) | −22.4940 | −1.02778 | −0.513888 | − | 0.857857i | \(-0.671795\pi\) | ||||
−0.513888 | + | 0.857857i | \(0.671795\pi\) | |||||||
\(480\) | −9.07886 | + | 30.0838i | −0.414391 | + | 1.37313i | ||||
\(481\) | 0.0556659i | 0.00253815i | ||||||||
\(482\) | 2.18980 | + | 8.17243i | 0.0997425 | + | 0.372244i | ||||
\(483\) | −2.16145 | + | 4.95285i | −0.0983492 | + | 0.225363i | ||||
\(484\) | 7.62302 | − | 4.40115i | 0.346501 | − | 0.200052i | ||||
\(485\) | 17.0290 | − | 11.6347i | 0.773245 | − | 0.528306i | ||||
\(486\) | −15.6244 | − | 27.8150i | −0.708737 | − | 1.26171i | ||||
\(487\) | 5.31757 | − | 1.42484i | 0.240962 | − | 0.0645656i | −0.136317 | − | 0.990665i | \(-0.543526\pi\) |
0.377279 | + | 0.926100i | \(0.376860\pi\) | |||||||
\(488\) | 4.21716 | − | 1.12998i | 0.190902 | − | 0.0511520i | ||||
\(489\) | −5.58382 | − | 12.6215i | −0.252509 | − | 0.570765i | ||||
\(490\) | 27.8922 | − | 15.7544i | 1.26004 | − | 0.711712i | ||||
\(491\) | −8.93608 | + | 15.4777i | −0.403279 | + | 0.698500i | −0.994120 | − | 0.108288i | \(-0.965463\pi\) |
0.590840 | + | 0.806789i | \(0.298796\pi\) | |||||||
\(492\) | 22.4082 | + | 27.8058i | 1.01024 | + | 1.25358i | ||||
\(493\) | −27.8906 | − | 27.8906i | −1.25613 | − | 1.25613i | ||||
\(494\) | −0.649604 | − | 0.375049i | −0.0292271 | − | 0.0168742i | ||||
\(495\) | 15.6731 | + | 20.7449i | 0.704455 | + | 0.932412i | ||||
\(496\) | 39.2306i | 1.76151i | ||||||||
\(497\) | 3.76273 | − | 11.9765i | 0.168782 | − | 0.537220i | ||||
\(498\) | 38.6719 | − | 31.1651i | 1.73293 | − | 1.39654i | ||||
\(499\) | 25.0299i | 1.12049i | 0.828326 | + | 0.560246i | \(0.189293\pi\) | ||||
−0.828326 | + | 0.560246i | \(0.810707\pi\) | |||||||
\(500\) | −24.4533 | − | 0.842659i | −1.09358 | − | 0.0376849i | ||||
\(501\) | 0.603116 | − | 0.826012i | 0.0269452 | − | 0.0369035i | ||||
\(502\) | 8.84004 | + | 32.9915i | 0.394550 | + | 1.47248i | ||||
\(503\) | 6.04983 | + | 6.04983i | 0.269749 | + | 0.269749i | 0.828999 | − | 0.559250i | \(-0.188911\pi\) |
−0.559250 | + | 0.828999i | \(0.688911\pi\) | |||||||
\(504\) | 2.95311 | − | 0.807224i | 0.131542 | − | 0.0359566i | ||||
\(505\) | 1.73744 | + | 1.49221i | 0.0773150 | + | 0.0664026i | ||||
\(506\) | 4.67697 | − | 8.10075i | 0.207917 | − | 0.360122i | ||||
\(507\) | 20.5311 | + | 7.93677i | 0.911816 | + | 0.352484i | ||||
\(508\) | −17.2488 | − | 4.62179i | −0.765290 | − | 0.205059i | ||||
\(509\) | 26.8165 | 1.18862 | 0.594310 | − | 0.804236i | \(-0.297425\pi\) | ||||
0.594310 | + | 0.804236i | \(0.297425\pi\) | |||||||
\(510\) | −19.8578 | − | 37.0238i | −0.879316 | − | 1.63944i | ||||
\(511\) | −1.27084 | + | 29.8056i | −0.0562184 | + | 1.31852i | ||||
\(512\) | 22.5394 | + | 22.5394i | 0.996108 | + | 0.996108i | ||||
\(513\) | 2.94454 | + | 1.94198i | 0.130005 | + | 0.0857405i | ||||
\(514\) | 1.99505 | − | 3.45552i | 0.0879978 | − | 0.152417i | ||||
\(515\) | 41.8295 | − | 3.17611i | 1.84323 | − | 0.139956i | ||||
\(516\) | −7.65226 | − | 5.58733i | −0.336872 | − | 0.245968i | ||||
\(517\) | −2.83225 | − | 10.5701i | −0.124562 | − | 0.464872i | ||||
\(518\) | 0.532587 | + | 0.167326i | 0.0234005 | + | 0.00735189i | ||||
\(519\) | −14.5460 | − | 10.6208i | −0.638498 | − | 0.466202i | ||||
\(520\) | 0.154233 | + | 0.439384i | 0.00676356 | + | 0.0192683i | ||||
\(521\) | 10.0200 | + | 5.78505i | 0.438984 | + | 0.253448i | 0.703167 | − | 0.711025i | \(-0.251769\pi\) |
−0.264182 | + | 0.964473i | \(0.585102\pi\) | |||||||
\(522\) | −24.7028 | − | 38.4349i | −1.08121 | − | 1.68225i | ||||
\(523\) | −7.83272 | + | 29.2321i | −0.342501 | + | 1.27823i | 0.553004 | + | 0.833178i | \(0.313481\pi\) |
−0.895505 | + | 0.445052i | \(0.853185\pi\) | |||||||
\(524\) | 8.48118 | + | 14.6898i | 0.370502 | + | 0.641728i | ||||
\(525\) | −11.4937 | − | 19.8216i | −0.501625 | − | 0.865085i | ||||
\(526\) | 24.8836 | − | 43.0996i | 1.08498 | − | 1.87923i | ||||
\(527\) | −40.9848 | − | 40.9848i | −1.78533 | − | 1.78533i | ||||
\(528\) | 23.7961 | − | 3.71139i | 1.03559 | − | 0.161518i | ||||
\(529\) | 21.6094i | 0.939539i | ||||||||
\(530\) | −13.4775 | − | 2.53634i | −0.585426 | − | 0.110172i | ||||
\(531\) | −5.44942 | + | 1.74224i | −0.236485 | + | 0.0756066i | ||||
\(532\) | −2.89514 | + | 2.65835i | −0.125520 | + | 0.115254i | ||||
\(533\) | −4.91340 | − | 1.31654i | −0.212823 | − | 0.0570257i | ||||
\(534\) | −2.14460 | + | 19.9516i | −0.0928061 | + | 0.863389i | ||||
\(535\) | 17.9727 | + | 26.3054i | 0.777027 | + | 1.13728i | ||||
\(536\) | −0.837961 | − | 1.45139i | −0.0361944 | − | 0.0626905i | ||||
\(537\) | −0.622588 | − | 3.99180i | −0.0268666 | − | 0.172259i | ||||
\(538\) | 11.4202 | − | 42.6209i | 0.492361 | − | 1.83752i | ||||
\(539\) | −22.2561 | − | 15.5162i | −0.958637 | − | 0.668330i | ||||
\(540\) | −6.98173 | − | 24.4504i | −0.300446 | − | 1.05218i | ||||
\(541\) | −1.21305 | − | 2.10107i | −0.0521533 | − | 0.0903321i | 0.838770 | − | 0.544486i | \(-0.183275\pi\) |
−0.890923 | + | 0.454153i | \(0.849942\pi\) | |||||||
\(542\) | 13.7762 | − | 13.7762i | 0.591737 | − | 0.591737i | ||||
\(543\) | 14.9301 | − | 12.0319i | 0.640712 | − | 0.516340i | ||||
\(544\) | −43.0056 | −1.84385 | ||||||||
\(545\) | −0.257672 | + | 0.0904481i | −0.0110374 | + | 0.00387437i | ||||
\(546\) | −3.15755 | + | 3.95870i | −0.135131 | + | 0.169417i | ||||
\(547\) | 5.08234 | − | 18.9675i | 0.217305 | − | 0.810994i | −0.768037 | − | 0.640405i | \(-0.778766\pi\) |
0.985342 | − | 0.170588i | \(-0.0545669\pi\) | |||||||
\(548\) | 37.7912 | + | 10.1261i | 1.61436 | + | 0.432566i | ||||
\(549\) | 22.8411 | − | 25.1281i | 0.974834 | − | 1.07244i | ||||
\(550\) | 15.9317 | + | 36.3204i | 0.679328 | + | 1.54871i | ||||
\(551\) | 4.37471 | + | 2.52574i | 0.186369 | + | 0.107600i | ||||
\(552\) | −0.613408 | + | 0.494336i | −0.0261084 | + | 0.0210403i | ||||
\(553\) | −15.4916 | + | 14.2245i | −0.658768 | + | 0.604889i | ||||
\(554\) | −24.5720 | − | 14.1867i | −1.04396 | − | 0.602733i | ||||
\(555\) | 0.115365 | − | 0.382273i | 0.00489695 | − | 0.0162266i | ||||
\(556\) | 20.7735i | 0.880991i | ||||||||
\(557\) | 0.591109 | − | 0.158387i | 0.0250461 | − | 0.00671109i | −0.246274 | − | 0.969200i | \(-0.579206\pi\) |
0.271320 | + | 0.962489i | \(0.412540\pi\) | |||||||
\(558\) | −36.3004 | − | 56.4795i | −1.53672 | − | 2.39097i | ||||
\(559\) | 1.34962 | 0.0570829 | ||||||||
\(560\) | −21.2126 | + | 0.703936i | −0.896395 | + | 0.0297467i | ||||
\(561\) | −20.9828 | + | 28.7375i | −0.885894 | + | 1.21330i | ||||
\(562\) | 2.74231 | + | 2.74231i | 0.115677 | + | 0.115677i | ||||
\(563\) | −1.45275 | + | 5.42175i | −0.0612262 | + | 0.228499i | −0.989758 | − | 0.142753i | \(-0.954405\pi\) |
0.928532 | + | 0.371252i | \(0.121071\pi\) | |||||||
\(564\) | −1.14379 | + | 10.6408i | −0.0481620 | + | 0.448059i | ||||
\(565\) | −4.75895 | − | 2.28602i | −0.200210 | − | 0.0961736i | ||||
\(566\) | 13.8408i | 0.581771i | ||||||||
\(567\) | 15.9277 | − | 17.7005i | 0.668900 | − | 0.743352i | ||||
\(568\) | 1.29409 | − | 1.29409i | 0.0542988 | − | 0.0542988i | ||||
\(569\) | 31.9665 | + | 18.4558i | 1.34010 | + | 0.773709i | 0.986822 | − | 0.161808i | \(-0.0517326\pi\) |
0.353281 | + | 0.935517i | \(0.385066\pi\) | |||||||
\(570\) | 3.68374 | + | 3.92183i | 0.154295 | + | 0.164268i | ||||
\(571\) | 1.46277 | + | 2.53359i | 0.0612149 | + | 0.106027i | 0.895009 | − | 0.446049i | \(-0.147169\pi\) |
−0.833794 | + | 0.552076i | \(0.813836\pi\) | |||||||
\(572\) | 3.23835 | − | 3.23835i | 0.135402 | − | 0.135402i | ||||
\(573\) | −17.2572 | + | 2.69154i | −0.720928 | + | 0.112441i | ||||
\(574\) | −27.3653 | + | 43.0519i | −1.14221 | + | 1.79695i | ||||
\(575\) | 4.75094 | + | 3.49193i | 0.198128 | + | 0.145623i | ||||
\(576\) | −27.6437 | − | 6.01234i | −1.15182 | − | 0.250514i | ||||
\(577\) | −4.20661 | − | 15.6993i | −0.175123 | − | 0.653570i | −0.996531 | − | 0.0832274i | \(-0.973477\pi\) |
0.821407 | − | 0.570342i | \(-0.193189\pi\) | |||||||
\(578\) | 16.0554 | − | 16.0554i | 0.667817 | − | 0.667817i | ||||
\(579\) | 11.6029 | + | 26.2268i | 0.482198 | + | 1.08995i | ||||
\(580\) | −12.0611 | − | 34.3601i | −0.500810 | − | 1.42673i | ||||
\(581\) | 31.2851 | + | 19.8859i | 1.29793 | + | 0.825007i | ||||
\(582\) | 20.5154 | + | 25.4570i | 0.850392 | + | 1.05523i | ||||
\(583\) | 3.00619 | + | 11.2193i | 0.124504 | + | 0.464655i | ||||
\(584\) | −2.17456 | + | 3.76644i | −0.0899838 | + | 0.155856i | ||||
\(585\) | 2.85691 | + | 2.22631i | 0.118119 | + | 0.0920465i | ||||
\(586\) | 13.4838 | − | 7.78489i | 0.557012 | − | 0.321591i | ||||
\(587\) | 6.76953 | + | 1.81389i | 0.279409 | + | 0.0748673i | 0.395802 | − | 0.918336i | \(-0.370467\pi\) |
−0.116393 | + | 0.993203i | \(0.537133\pi\) | |||||||
\(588\) | 14.8305 | + | 22.0021i | 0.611600 | + | 0.907353i | ||||
\(589\) | 6.42857 | + | 3.71153i | 0.264884 | + | 0.152931i | ||||
\(590\) | −8.70215 | + | 0.660752i | −0.358262 | + | 0.0272027i | ||||
\(591\) | −0.335318 | + | 3.11952i | −0.0137932 | + | 0.128320i | ||||
\(592\) | −0.261540 | − | 0.261540i | −0.0107492 | − | 0.0107492i | ||||
\(593\) | −2.83130 | + | 10.5666i | −0.116268 | + | 0.433917i | −0.999379 | − | 0.0352475i | \(-0.988778\pi\) |
0.883111 | + | 0.469164i | \(0.155445\pi\) | |||||||
\(594\) | −30.8246 | + | 27.3620i | −1.26475 | + | 1.12268i | ||||
\(595\) | 21.4257 | − | 22.8965i | 0.878367 | − | 0.938665i | ||||
\(596\) | −18.5584 | − | 32.1441i | −0.760181 | − | 1.31667i | ||||
\(597\) | 27.0648 | − | 4.22120i | 1.10769 | − | 0.172762i | ||||
\(598\) | 0.337255 | − | 1.25865i | 0.0137914 | − | 0.0514702i | ||||
\(599\) | 7.39003 | − | 4.26663i | 0.301948 | − | 0.174330i | −0.341369 | − | 0.939929i | \(-0.610891\pi\) |
0.643318 | + | 0.765599i | \(0.277557\pi\) | |||||||
\(600\) | −0.148559 | − | 3.33701i | −0.00606492 | − | 0.136233i | ||||
\(601\) | −7.55331 | + | 4.36090i | −0.308106 | + | 0.177885i | −0.646079 | − | 0.763271i | \(-0.723592\pi\) |
0.337973 | + | 0.941156i | \(0.390259\pi\) | |||||||
\(602\) | 4.05683 | − | 12.9126i | 0.165344 | − | 0.526279i | ||||
\(603\) | −11.5864 | − | 5.97260i | −0.471834 | − | 0.243223i | ||||
\(604\) | 8.66774 | − | 5.00432i | 0.352685 | − | 0.203623i | ||||
\(605\) | 5.85981 | − | 6.82280i | 0.238235 | − | 0.277386i | ||||
\(606\) | −2.14100 | + | 2.93227i | −0.0869724 | + | 0.119115i | ||||
\(607\) | 22.7665 | − | 22.7665i | 0.924065 | − | 0.924065i | −0.0732489 | − | 0.997314i | \(-0.523337\pi\) |
0.997314 | + | 0.0732489i | \(0.0233367\pi\) | |||||||
\(608\) | 5.32003 | − | 1.42550i | 0.215756 | − | 0.0578116i | ||||
\(609\) | 21.2643 | − | 26.6595i | 0.861671 | − | 1.08030i | ||||
\(610\) | 42.7706 | − | 29.2222i | 1.73173 | − | 1.18317i | ||||
\(611\) | −0.762206 | − | 1.32018i | −0.0308356 | − | 0.0534088i | ||||
\(612\) | 29.2743 | − | 18.8152i | 1.18335 | − | 0.760558i | ||||
\(613\) | −4.10190 | − | 15.3085i | −0.165674 | − | 0.618305i | −0.997953 | − | 0.0639477i | \(-0.979631\pi\) |
0.832279 | − | 0.554357i | \(-0.187036\pi\) | |||||||
\(614\) | 8.59367 | − | 14.8847i | 0.346812 | − | 0.600697i | ||||
\(615\) | 31.0132 | + | 19.2238i | 1.25057 | + | 0.775179i | ||||
\(616\) | −1.82991 | − | 3.50647i | −0.0737291 | − | 0.141280i | ||||
\(617\) | 12.9104 | − | 3.45933i | 0.519753 | − | 0.139267i | 0.0106005 | − | 0.999944i | \(-0.496626\pi\) |
0.509152 | + | 0.860676i | \(0.329959\pi\) | |||||||
\(618\) | 10.2482 | + | 65.7076i | 0.412242 | + | 2.64315i | ||||
\(619\) | 1.16263 | 0.0467300 | 0.0233650 | − | 0.999727i | \(-0.492562\pi\) | ||||
0.0233650 | + | 0.999727i | \(0.492562\pi\) | |||||||
\(620\) | −17.7236 | − | 50.4917i | −0.711798 | − | 2.02779i | ||||
\(621\) | −1.93471 | + | 5.81405i | −0.0776370 | + | 0.233310i | ||||
\(622\) | −23.6168 | + | 23.6168i | −0.946946 | + | 0.946946i | ||||
\(623\) | −14.6189 | + | 3.25661i | −0.585695 | + | 0.130473i | ||||
\(624\) | 3.06816 | − | 1.35737i | 0.122825 | − | 0.0543381i | ||||
\(625\) | −23.8601 | + | 7.46290i | −0.954405 | + | 0.298516i | ||||
\(626\) | −18.2817 | + | 10.5549i | −0.730682 | + | 0.421860i | ||||
\(627\) | 1.64313 | − | 4.25050i | 0.0656204 | − | 0.169749i | ||||
\(628\) | −6.02680 | + | 1.61488i | −0.240496 | + | 0.0644406i | ||||
\(629\) | 0.546470 | 0.0217892 | ||||||||
\(630\) | 29.8880 | − | 20.6416i | 1.19076 | − | 0.822382i | ||||
\(631\) | −15.0003 | −0.597151 | −0.298576 | − | 0.954386i | \(-0.596512\pi\) | ||||
−0.298576 | + | 0.954386i | \(0.596512\pi\) | |||||||
\(632\) | −2.96158 | + | 0.793552i | −0.117805 | + | 0.0315658i | ||||
\(633\) | −26.0100 | + | 4.05668i | −1.03380 | + | 0.161239i | ||||
\(634\) | 15.8228 | − | 9.13532i | 0.628405 | − | 0.362810i | ||||
\(635\) | −18.1933 | + | 1.38141i | −0.721978 | + | 0.0548196i | ||||
\(636\) | 1.21403 | − | 11.2943i | 0.0481395 | − | 0.447849i | ||||
\(637\) | −3.55418 | − | 1.28540i | −0.140822 | − | 0.0509293i | ||||
\(638\) | −41.7388 | + | 41.7388i | −1.65245 | + | 1.65245i | ||||
\(639\) | 3.02520 | − | 13.9094i | 0.119675 | − | 0.550246i | ||||
\(640\) | −6.19178 | − | 2.97430i | −0.244751 | − | 0.117569i | ||||
\(641\) | 26.1872 | 1.03433 | 0.517166 | − | 0.855885i | \(-0.326987\pi\) | ||||
0.517166 | + | 0.855885i | \(0.326987\pi\) | |||||||
\(642\) | −39.3246 | + | 31.6911i | −1.55202 | + | 1.25075i | ||||
\(643\) | 19.6788 | − | 5.27291i | 0.776055 | − | 0.207943i | 0.151010 | − | 0.988532i | \(-0.451747\pi\) |
0.625045 | + | 0.780589i | \(0.285081\pi\) | |||||||
\(644\) | −5.76237 | − | 3.66276i | −0.227069 | − | 0.144333i | ||||
\(645\) | −9.26823 | − | 2.79702i | −0.364936 | − | 0.110133i | ||||
\(646\) | −3.68184 | + | 6.37713i | −0.144860 | + | 0.250905i | ||||
\(647\) | −3.08501 | − | 11.5134i | −0.121284 | − | 0.452639i | 0.878396 | − | 0.477934i | \(-0.158614\pi\) |
−0.999680 | + | 0.0252949i | \(0.991948\pi\) | |||||||
\(648\) | 3.25239 | − | 1.21338i | 0.127766 | − | 0.0476661i | ||||
\(649\) | 3.69571 | + | 6.40116i | 0.145069 | + | 0.251268i | ||||
\(650\) | 3.45327 | + | 4.31282i | 0.135448 | + | 0.169163i | ||||
\(651\) | 31.2475 | − | 39.1758i | 1.22469 | − | 1.53542i | ||||
\(652\) | 16.8442 | − | 4.51338i | 0.659669 | − | 0.176758i | ||||
\(653\) | −30.5661 | + | 30.5661i | −1.19614 | + | 1.19614i | −0.220833 | + | 0.975312i | \(0.570878\pi\) |
−0.975312 | + | 0.220833i | \(0.929122\pi\) | |||||||
\(654\) | −0.175148 | − | 0.395901i | −0.00684883 | − | 0.0154809i | ||||
\(655\) | 13.1478 | + | 11.2921i | 0.513726 | + | 0.441217i | ||||
\(656\) | 29.2707 | − | 16.8994i | 1.14283 | − | 0.659813i | ||||
\(657\) | 1.61093 | + | 33.7887i | 0.0628485 | + | 1.31822i | ||||
\(658\) | −14.9220 | + | 3.32413i | −0.581722 | + | 0.129588i | ||||
\(659\) | 6.75587 | − | 3.90050i | 0.263171 | − | 0.151942i | −0.362609 | − | 0.931941i | \(-0.618114\pi\) |
0.625780 | + | 0.779999i | \(0.284781\pi\) | |||||||
\(660\) | −28.9500 | + | 15.5274i | −1.12688 | + | 0.604401i | ||||
\(661\) | −38.2727 | + | 22.0968i | −1.48864 | + | 0.859465i | −0.999916 | − | 0.0129756i | \(-0.995870\pi\) |
−0.488721 | + | 0.872440i | \(0.662536\pi\) | |||||||
\(662\) | 14.7215 | − | 54.9414i | 0.572167 | − | 2.13536i | ||||
\(663\) | −1.78729 | + | 4.62341i | −0.0694125 | + | 0.179558i | ||||
\(664\) | 2.70212 | + | 4.68021i | 0.104863 | + | 0.181627i | ||||
\(665\) | −1.89153 | + | 3.54262i | −0.0733504 | + | 0.137377i | ||||
\(666\) | 0.618540 | + | 0.134529i | 0.0239679 | + | 0.00521288i | ||||
\(667\) | −2.27122 | + | 8.47630i | −0.0879419 | + | 0.328204i | ||||
\(668\) | 0.913774 | + | 0.913774i | 0.0353550 | + | 0.0353550i | ||||
\(669\) | 7.70353 | − | 3.40808i | 0.297836 | − | 0.131764i | ||||
\(670\) | −15.0844 | − | 12.9554i | −0.582763 | − | 0.500510i | ||||
\(671\) | −37.9940 | − | 21.9359i | −1.46674 | − | 0.846825i | ||||
\(672\) | −4.15960 | − | 36.9478i | −0.160460 | − | 1.42529i | ||||
\(673\) | 35.7898 | + | 9.58984i | 1.37959 | + | 0.369661i | 0.870974 | − | 0.491330i | \(-0.163489\pi\) |
0.508621 | + | 0.860991i | \(0.330156\pi\) | |||||||
\(674\) | 50.0835 | − | 28.9157i | 1.92914 | − | 1.11379i | ||||
\(675\) | −15.0053 | − | 21.2095i | −0.577554 | − | 0.816353i | ||||
\(676\) | −13.9060 | + | 24.0860i | −0.534847 | + | 0.926383i | ||||
\(677\) | −4.95822 | − | 18.5043i | −0.190560 | − | 0.711179i | −0.993372 | − | 0.114947i | \(-0.963330\pi\) |
0.802812 | − | 0.596233i | \(-0.203336\pi\) | |||||||
\(678\) | 3.01778 | − | 7.80649i | 0.115897 | − | 0.299806i | ||||
\(679\) | −13.0905 | + | 20.5944i | −0.502369 | + | 0.790342i | ||||
\(680\) | 4.31342 | − | 1.51410i | 0.165412 | − | 0.0580630i | ||||
\(681\) | 39.2989 | + | 4.22426i | 1.50594 | + | 0.161874i | ||||
\(682\) | −61.3345 | + | 61.3345i | −2.34862 | + | 2.34862i | ||||
\(683\) | 7.72432 | + | 28.8276i | 0.295563 | + | 1.10306i | 0.940769 | + | 0.339048i | \(0.110105\pi\) |
−0.645206 | + | 0.764008i | \(0.723229\pi\) | |||||||
\(684\) | −2.99774 | + | 3.29789i | −0.114621 | + | 0.126098i | ||||
\(685\) | 39.8606 | − | 3.02660i | 1.52299 | − | 0.115641i | ||||
\(686\) | −22.9817 | + | 30.1411i | −0.877444 | + | 1.15079i | ||||
\(687\) | −19.5960 | − | 24.3162i | −0.747636 | − | 0.927721i | ||||
\(688\) | −6.34106 | + | 6.34106i | −0.241751 | + | 0.241751i | ||||
\(689\) | 0.809019 | + | 1.40126i | 0.0308212 | + | 0.0533838i | ||||
\(690\) | −4.92452 | + | 7.94458i | −0.187473 | + | 0.302445i | ||||
\(691\) | 6.11058 | + | 3.52795i | 0.232457 | + | 0.134209i | 0.611705 | − | 0.791086i | \(-0.290484\pi\) |
−0.379248 | + | 0.925295i | \(0.623817\pi\) | |||||||
\(692\) | 16.0915 | − | 16.0915i | 0.611706 | − | 0.611706i | ||||
\(693\) | −26.7190 | − | 15.2476i | −1.01497 | − | 0.579208i | ||||
\(694\) | − | 45.0093i | − | 1.70853i | ||||||
\(695\) | 7.03000 | + | 20.0273i | 0.266663 | + | 0.759679i | ||||
\(696\) | 4.54637 | − | 2.01133i | 0.172330 | − | 0.0762394i | ||||
\(697\) | −12.9244 | + | 48.2346i | −0.489548 | + | 1.82702i | ||||
\(698\) | −22.4915 | − | 22.4915i | −0.851314 | − | 0.851314i | ||||
\(699\) | 12.8004 | + | 28.9336i | 0.484154 | + | 1.09437i | ||||
\(700\) | 26.9836 | − | 10.4894i | 1.01988 | − | 0.396463i | ||||
\(701\) | 10.3501 | 0.390919 | 0.195460 | − | 0.980712i | \(-0.437380\pi\) | ||||
0.195460 | + | 0.980712i | \(0.437380\pi\) | |||||||
\(702\) | −3.16118 | + | 4.79317i | −0.119311 | + | 0.180906i | ||||
\(703\) | −0.0676014 | + | 0.0181137i | −0.00254963 | + | 0.000683173i | ||||
\(704\) | 36.5491i | 1.37750i | ||||||||
\(705\) | 2.49828 | + | 10.6457i | 0.0940906 | + | 0.400939i | ||||
\(706\) | −19.9477 | − | 11.5168i | −0.750742 | − | 0.433441i | ||||
\(707\) | −2.58531 | − | 0.812241i | −0.0972305 | − | 0.0305475i | ||||
\(708\) | −1.11397 | − | 7.14239i | −0.0418657 | − | 0.268427i | ||||
\(709\) | −29.4017 | − | 16.9751i | −1.10421 | − | 0.637514i | −0.166883 | − | 0.985977i | \(-0.553370\pi\) |
−0.937323 | + | 0.348463i | \(0.886704\pi\) | |||||||
\(710\) | 9.40198 | − | 19.5727i | 0.352850 | − | 0.734549i | ||||
\(711\) | −16.0406 | + | 17.6467i | −0.601568 | + | 0.661802i | ||||
\(712\) | −2.10904 | − | 0.565115i | −0.0790396 | − | 0.0211786i | ||||
\(713\) | −3.33752 | + | 12.4558i | −0.124991 | + | 0.466474i | ||||
\(714\) | 38.8624 | + | 30.9975i | 1.45439 | + | 1.16005i | ||||
\(715\) | 2.02614 | − | 4.21794i | 0.0757733 | − | 0.157742i | ||||
\(716\) | 5.10466 | 0.190770 | ||||||||
\(717\) | 4.84812 | + | 31.0844i | 0.181056 | + | 1.16087i | ||||
\(718\) | 7.99982 | − | 7.99982i | 0.298550 | − | 0.298550i | ||||
\(719\) | −14.8448 | − | 25.7119i | −0.553616 | − | 0.958891i | −0.998010 | − | 0.0630593i | \(-0.979914\pi\) |
0.444394 | − | 0.895831i | \(-0.353419\pi\) | |||||||
\(720\) | −23.8830 | + | 2.96281i | −0.890065 | + | 0.110418i | ||||
\(721\) | −44.0041 | + | 22.9643i | −1.63880 | + | 0.855233i | ||||
\(722\) | −9.82007 | + | 36.6490i | −0.365465 | + | 1.36393i | ||||
\(723\) | −5.57534 | + | 4.49308i | −0.207349 | + | 0.167099i | ||||
\(724\) | 12.1138 | + | 20.9818i | 0.450207 | + | 0.779781i | ||||
\(725\) | −23.2558 | − | 29.0443i | −0.863698 | − | 1.07868i | ||||
\(726\) | 11.5148 | + | 8.40757i | 0.427354 | + | 0.312034i | ||||
\(727\) | −22.6097 | − | 6.05825i | −0.838548 | − | 0.224688i | −0.186108 | − | 0.982529i | \(-0.559588\pi\) |
−0.652439 | + | 0.757841i | \(0.726254\pi\) | |||||||
\(728\) | −0.372655 | − | 0.405849i | −0.0138115 | − | 0.0150418i | ||||
\(729\) | 16.1779 | − | 21.6166i | 0.599180 | − | 0.800615i | ||||
\(730\) | −9.54325 | + | 50.7106i | −0.353212 | + | 1.87688i | ||||
\(731\) | − | 13.2492i | − | 0.490039i | ||||||
\(732\) | 26.9229 | + | 33.4079i | 0.995100 | + | 1.23479i | ||||
\(733\) | −21.0343 | − | 21.0343i | −0.776919 | − | 0.776919i | 0.202387 | − | 0.979306i | \(-0.435130\pi\) |
−0.979306 | + | 0.202387i | \(0.935130\pi\) | |||||||
\(734\) | −21.4000 | + | 37.0659i | −0.789889 | + | 1.36813i | ||||
\(735\) | 21.7436 | + | 16.1930i | 0.802026 | + | 0.597289i | ||||
\(736\) | 4.78393 | + | 8.28601i | 0.176338 | + | 0.305426i | ||||
\(737\) | −4.35871 | + | 16.2669i | −0.160555 | + | 0.599200i | ||||
\(738\) | −26.5032 | + | 51.4143i | −0.975598 | + | 1.89258i | ||||
\(739\) | −23.7383 | − | 13.7053i | −0.873227 | − | 0.504158i | −0.00480748 | − | 0.999988i | \(-0.501530\pi\) |
−0.868419 | + | 0.495831i | \(0.834864\pi\) | |||||||
\(740\) | 0.454774 | + | 0.218456i | 0.0167178 | + | 0.00803060i | ||||
\(741\) | 0.0678464 | − | 0.631185i | 0.00249240 | − | 0.0231872i | ||||
\(742\) | 15.8385 | − | 3.52829i | 0.581450 | − | 0.129528i | ||||
\(743\) | −5.77705 | − | 21.5603i | −0.211940 | − | 0.790969i | −0.987222 | − | 0.159354i | \(-0.949059\pi\) |
0.775282 | − | 0.631615i | \(-0.217608\pi\) | |||||||
\(744\) | 6.68082 | − | 2.95562i | 0.244931 | − | 0.108358i | ||||
\(745\) | −28.7698 | − | 24.7091i | −1.05404 | − | 0.905272i | ||||
\(746\) | −30.9942 | + | 53.6835i | −1.13478 | + | 1.96549i | ||||
\(747\) | 37.3619 | + | 19.2595i | 1.36700 | + | 0.704668i | ||||
\(748\) | −31.7908 | − | 31.7908i | −1.16239 | − | 1.16239i | ||||
\(749\) | −31.8132 | − | 20.2216i | −1.16243 | − | 0.738880i | ||||
\(750\) | −14.7765 | − | 36.7740i | −0.539561 | − | 1.34280i | ||||
\(751\) | 14.9115 | 0.544127 | 0.272064 | − | 0.962279i | \(-0.412294\pi\) | ||||
0.272064 | + | 0.962279i | \(0.412294\pi\) | |||||||
\(752\) | 9.78387 | + | 2.62158i | 0.356781 | + | 0.0955992i | ||||
\(753\) | −22.5072 | + | 18.1382i | −0.820208 | + | 0.660993i | ||||
\(754\) | −4.11143 | + | 7.12120i | −0.149729 | + | 0.259339i | ||||
\(755\) | 6.66288 | − | 7.75785i | 0.242487 | − | 0.282337i | ||||
\(756\) | 18.9963 | + | 23.3309i | 0.690890 | + | 0.848537i | ||||
\(757\) | 28.1705 | + | 28.1705i | 1.02387 | + | 1.02387i | 0.999708 | + | 0.0241653i | \(0.00769279\pi\) |
0.0241653 | + | 0.999708i | \(0.492307\pi\) | |||||||
\(758\) | −17.2319 | − | 64.3101i | −0.625889 | − | 2.33585i | ||||
\(759\) | 7.87106 | + | 0.846064i | 0.285701 | + | 0.0307102i | ||||
\(760\) | −0.483407 | + | 0.330279i | −0.0175350 | + | 0.0119805i | ||||
\(761\) | 23.1201i | 0.838105i | 0.907962 | + | 0.419052i | \(0.137638\pi\) | ||||
−0.907962 | + | 0.419052i | \(0.862362\pi\) | |||||||
\(762\) | −4.45733 | − | 28.5788i | −0.161472 | − | 1.03530i | ||||
\(763\) | 0.238005 | − | 0.218539i | 0.00861636 | − | 0.00791165i | ||||
\(764\) | − | 22.0682i | − | 0.798400i | ||||||
\(765\) | 21.8556 | − | 28.0462i | 0.790190 | − | 1.01401i | ||||
\(766\) | 54.7757 | + | 31.6248i | 1.97913 | + | 1.14265i | ||||
\(767\) | 0.728083 | + | 0.728083i | 0.0262896 | + | 0.0262896i | ||||
\(768\) | −7.85215 | + | 20.3122i | −0.283340 | + | 0.732952i | ||||
\(769\) | 20.6815 | − | 35.8215i | 0.745796 | − | 1.29176i | −0.204027 | − | 0.978965i | \(-0.565403\pi\) |
0.949822 | − | 0.312790i | \(-0.101264\pi\) | |||||||
\(770\) | −34.2650 | − | 32.0639i | −1.23483 | − | 1.15550i | ||||
\(771\) | 3.35755 | + | 0.360904i | 0.120919 | + | 0.0129977i | ||||
\(772\) | −35.0012 | + | 9.37856i | −1.25972 | + | 0.337542i | ||||
\(773\) | −1.52948 | + | 0.409824i | −0.0550117 | + | 0.0147403i | −0.286220 | − | 0.958164i | \(-0.592399\pi\) |
0.231208 | + | 0.972904i | \(0.425732\pi\) | |||||||
\(774\) | 3.26166 | − | 14.9965i | 0.117238 | − | 0.539039i | ||||
\(775\) | −34.1740 | − | 42.6802i | −1.22757 | − | 1.53312i | ||||
\(776\) | −3.08090 | + | 1.77876i | −0.110598 | + | 0.0638537i | ||||
\(777\) | 0.0528558 | + | 0.469494i | 0.00189619 | + | 0.0168430i | ||||
\(778\) | 15.4857 | + | 57.7936i | 0.555191 | + | 2.07200i | ||||
\(779\) | − | 6.39530i | − | 0.229135i | ||||||
\(780\) | −3.33563 | + | 3.13313i | −0.119435 | + | 0.112184i | ||||
\(781\) | −18.3903 | −0.658056 | ||||||||
\(782\) | −12.3562 | − | 3.31082i | −0.441855 | − | 0.118395i | ||||
\(783\) | 21.2887 | − | 32.2792i | 0.760797 | − | 1.15356i | ||||
\(784\) | 22.7383 | − | 10.6596i | 0.812080 | − | 0.380701i | ||||
\(785\) | −5.26384 | + | 3.59642i | −0.187874 | + | 0.128362i | ||||
\(786\) | −16.2017 | + | 22.1894i | −0.577895 | + | 0.791470i | ||||
\(787\) | −2.87465 | − | 0.770260i | −0.102470 | − | 0.0274568i | 0.207220 | − | 0.978294i | \(-0.433559\pi\) |
−0.309690 | + | 0.950838i | \(0.600225\pi\) | |||||||
\(788\) | −3.82917 | − | 1.02602i | −0.136408 | − | 0.0365505i | ||||
\(789\) | 41.8776 | + | 4.50144i | 1.49088 | + | 0.160256i | ||||
\(790\) | −30.0364 | + | 20.5218i | −1.06865 | + | 0.730134i | ||||
\(791\) | 6.24116 | + | 0.266107i | 0.221910 | + | 0.00946168i | ||||
\(792\) | −2.42483 | − | 3.77277i | −0.0861625 | − | 0.134059i | ||||
\(793\) | −5.90332 | − | 1.58179i | −0.209633 | − | 0.0561710i | ||||
\(794\) | 26.6826 | 0.946929 | ||||||||
\(795\) | −2.65172 | − | 11.2995i | −0.0940467 | − | 0.400752i | ||||
\(796\) | 34.6101i | 1.22672i | ||||||||
\(797\) | −2.18664 | − | 8.16065i | −0.0774548 | − | 0.289065i | 0.916324 | − | 0.400438i | \(-0.131142\pi\) |
−0.993779 | + | 0.111373i | \(0.964475\pi\) | |||||||
\(798\) | −5.83497 | − | 2.54640i | −0.206556 | − | 0.0901418i | ||||
\(799\) | −12.9602 | + | 7.48255i | −0.458497 | + | 0.264714i | ||||
\(800\) | −40.3218 | − | 4.46279i | −1.42559 | − | 0.157783i | ||||
\(801\) | −16.1760 | + | 5.17164i | −0.571551 | + | 0.182731i | ||||
\(802\) | −67.8289 | + | 18.1747i | −2.39512 | + | 0.641771i | ||||
\(803\) | 42.2137 | − | 11.3111i | 1.48969 | − | 0.399161i | ||||
\(804\) | 9.71230 | − | 13.3017i | 0.342526 | − | 0.469115i | ||||
\(805\) | −6.79492 | − | 1.58115i | −0.239490 | − | 0.0557281i | ||||
\(806\) | −6.04168 | + | 10.4645i | −0.212809 | + | 0.368596i | ||||
\(807\) | 36.8971 | − | 5.75472i | 1.29884 | − | 0.202576i | ||||
\(808\) | −0.279348 | − | 0.279348i | −0.00982744 | − | 0.00982744i | ||||
\(809\) | 24.6574 | + | 14.2359i | 0.866907 | + | 0.500509i | 0.866319 | − | 0.499491i | \(-0.166480\pi\) |
0.000587613 | 1.00000i | \(0.499813\pi\) | ||||||||
\(810\) | 31.6423 | − | 26.3646i | 1.11180 | − | 0.926358i | ||||
\(811\) | − | 49.5377i | − | 1.73950i | −0.493489 | − | 0.869752i | \(-0.664279\pi\) | ||
0.493489 | − | 0.869752i | \(-0.335721\pi\) | |||||||
\(812\) | 29.1419 | + | 31.7376i | 1.02268 | + | 1.11377i | ||||
\(813\) | 15.3792 | + | 5.94519i | 0.539372 | + | 0.208507i | ||||
\(814\) | − | 0.817803i | − | 0.0286640i | ||||||
\(815\) | 14.7118 | − | 10.0516i | 0.515331 | − | 0.352091i | ||||
\(816\) | −13.3252 | − | 30.1200i | −0.466476 | − | 1.05441i | ||||
\(817\) | 0.439169 | + | 1.63900i | 0.0153646 | + | 0.0573414i | ||||
\(818\) | 24.7440 | + | 24.7440i | 0.865153 | + | 0.865153i | ||||
\(819\) | −4.14503 | − | 1.08834i | −0.144839 | − | 0.0380298i | ||||
\(820\) | −30.0380 | + | 34.9743i | −1.04897 | + | 1.22136i | ||||
\(821\) | −10.0850 | + | 17.4678i | −0.351969 | + | 0.609629i | −0.986594 | − | 0.163191i | \(-0.947821\pi\) |
0.634625 | + | 0.772820i | \(0.281155\pi\) | |||||||
\(822\) | 9.76579 | + | 62.6147i | 0.340621 | + | 2.18394i | ||||
\(823\) | −10.9578 | − | 2.93612i | −0.381964 | − | 0.102347i | 0.0627279 | − | 0.998031i | \(-0.480020\pi\) |
−0.444691 | + | 0.895684i | \(0.646687\pi\) | |||||||
\(824\) | −7.23609 | −0.252081 | ||||||||
\(825\) | −22.6555 | + | 24.7667i | −0.788763 | + | 0.862265i | ||||
\(826\) | 9.15454 | − | 4.77744i | 0.318527 | − | 0.166229i | ||||
\(827\) | 26.2106 | + | 26.2106i | 0.911431 | + | 0.911431i | 0.996385 | − | 0.0849537i | \(-0.0270742\pi\) |
−0.0849537 | + | 0.996385i | \(0.527074\pi\) | |||||||
\(828\) | −6.88165 | − | 3.54738i | −0.239154 | − | 0.123280i | ||||
\(829\) | 1.78274 | − | 3.08780i | 0.0619172 | − | 0.107244i | −0.833405 | − | 0.552663i | \(-0.813612\pi\) |
0.895322 | + | 0.445419i | \(0.146945\pi\) | |||||||
\(830\) | 48.6419 | + | 41.7765i | 1.68839 | + | 1.45008i | ||||
\(831\) | 2.56637 | − | 23.8753i | 0.0890263 | − | 0.828224i | ||||
\(832\) | 1.31777 | + | 4.91800i | 0.0456856 | + | 0.170501i | ||||
\(833\) | −12.6187 | + | 34.8913i | −0.437212 | + | 1.20891i | ||||
\(834\) | −30.7710 | + | 13.6132i | −1.06551 | + | 0.471388i | ||||
\(835\) | 1.19019 | + | 0.571720i | 0.0411881 | + | 0.0197852i | ||||
\(836\) | 4.98646 | + | 2.87894i | 0.172460 | + | 0.0995701i | ||||
\(837\) | 31.2835 | − | 47.4338i | 1.08132 | − | 1.63955i | ||||
\(838\) | −5.78678 | + | 21.5966i | −0.199901 | + | 0.746041i | ||||
\(839\) | −12.0050 | − | 20.7932i | −0.414457 | − | 0.717861i | 0.580914 | − | 0.813965i | \(-0.302695\pi\) |
−0.995371 | + | 0.0961037i | \(0.969362\pi\) | |||||||
\(840\) | 1.71803 | + | 3.55938i | 0.0592776 | + | 0.122810i | ||||
\(841\) | 13.1881 | − | 22.8425i | 0.454762 | − | 0.787671i | ||||
\(842\) | −2.36335 | − | 2.36335i | −0.0814464 | − | 0.0814464i | ||||
\(843\) | −1.18346 | + | 3.06141i | −0.0407605 | + | 0.105440i | ||||
\(844\) | − | 33.2612i | − | 1.14490i | ||||||
\(845\) | −5.25556 | + | 27.9268i | −0.180797 | + | 0.960711i | ||||
\(846\) | −16.5114 | + | 5.27887i | −0.567674 | + | 0.181491i | ||||
\(847\) | −3.18961 | + | 10.1523i | −0.109596 | + | 0.348838i | ||||
\(848\) | −10.3848 | − | 2.78259i | −0.356614 | − | 0.0955545i | ||||
\(849\) | −10.7122 | + | 4.73912i | −0.367641 | + | 0.162646i | ||||
\(850\) | 42.3388 | − | 33.9006i | 1.45221 | − | 1.16278i | ||||
\(851\) | −0.0607892 | − | 0.105290i | −0.00208383 | − | 0.00360929i | ||||
\(852\) | 16.7757 | + | 6.48503i | 0.574724 | + | 0.222173i | ||||
\(853\) | −12.6226 | + | 47.1081i | −0.432189 | + | 1.61295i | 0.315515 | + | 0.948920i | \(0.397823\pi\) |
−0.747705 | + | 0.664031i | \(0.768844\pi\) | |||||||
\(854\) | −32.8787 | + | 51.7258i | −1.12509 | + | 1.77002i | ||||
\(855\) | −1.77402 | + | 4.19391i | −0.0606701 | + | 0.143429i | ||||
\(856\) | −2.74773 | − | 4.75920i | −0.0939154 | − | 0.162666i | ||||
\(857\) | 2.14439 | − | 2.14439i | 0.0732511 | − | 0.0732511i | −0.669532 | − | 0.742783i | \(-0.733505\pi\) |
0.742783 | + | 0.669532i | \(0.233505\pi\) | |||||||
\(858\) | 6.91902 | + | 2.67471i | 0.236212 | + | 0.0913132i | ||||
\(859\) | −16.9376 | −0.577905 | −0.288952 | − | 0.957343i | \(-0.593307\pi\) | ||||
−0.288952 | + | 0.957343i | \(0.593307\pi\) | |||||||
\(860\) | 5.29648 | − | 11.0260i | 0.180609 | − | 0.375984i | ||||
\(861\) | −42.6904 | − | 6.43853i | −1.45488 | − | 0.219425i | ||||
\(862\) | 20.6674 | − | 77.1316i | 0.703933 | − | 2.62711i | ||||
\(863\) | −23.9038 | − | 6.40500i | −0.813694 | − | 0.218029i | −0.172106 | − | 0.985078i | \(-0.555057\pi\) |
−0.641588 | + | 0.767050i | \(0.721724\pi\) | |||||||
\(864\) | −8.47332 | − | 41.2992i | −0.288268 | − | 1.40503i | ||||
\(865\) | 10.0679 | − | 20.9591i | 0.342320 | − | 0.712630i | ||||
\(866\) | 19.0284 | + | 10.9861i | 0.646612 | + | 0.373321i | ||||
\(867\) | 17.9236 | + | 6.92881i | 0.608719 | + | 0.235315i | ||||
\(868\) | 42.8235 | + | 46.6379i | 1.45353 | + | 1.58299i | ||||
\(869\) | 26.6820 | + | 15.4049i | 0.905125 | + | 0.522574i | ||||
\(870\) | 42.9926 | − | 40.3826i | 1.45759 | − | 1.36910i | ||||
\(871\) | 2.34601i | 0.0794915i | ||||||||
\(872\) | 0.0455003 | − | 0.0121918i | 0.00154083 | − | 0.000412865i | ||||
\(873\) | −12.6782 | + | 24.5947i | −0.429091 | + | 0.832404i | ||||
\(874\) | 1.63827 | 0.0554153 | ||||||||
\(875\) | 22.4646 | − | 19.2442i | 0.759443 | − | 0.650574i | ||||
\(876\) | −42.4961 | − | 4.56793i | −1.43581 | − | 0.154336i | ||||
\(877\) | −32.5097 | − | 32.5097i | −1.09777 | − | 1.09777i | −0.994671 | − | 0.103102i | \(-0.967123\pi\) |
−0.103102 | − | 0.994671i | \(-0.532877\pi\) | |||||||
\(878\) | 9.49985 | − | 35.4539i | 0.320604 | − | 1.19651i | ||||
\(879\) | 10.6421 | + | 7.77036i | 0.358949 | + | 0.262088i | ||||
\(880\) | 10.2979 | + | 29.3371i | 0.347143 | + | 0.988954i | ||||
\(881\) | 10.7175i | 0.361083i | 0.983567 | + | 0.180542i | \(0.0577850\pi\) | ||||
−0.983567 | + | 0.180542i | \(0.942215\pi\) | |||||||
\(882\) | −22.8724 | + | 36.3864i | −0.770152 | + | 1.22519i | ||||
\(883\) | 22.8894 | − | 22.8894i | 0.770288 | − | 0.770288i | −0.207868 | − | 0.978157i | \(-0.566653\pi\) |
0.978157 | + | 0.207868i | \(0.0666526\pi\) | |||||||
\(884\) | −5.42394 | − | 3.13151i | −0.182427 | − | 0.105324i | ||||
\(885\) | −3.49104 | − | 6.50887i | −0.117350 | − | 0.218793i | ||||
\(886\) | −2.31211 | − | 4.00469i | −0.0776768 | − | 0.134540i | ||||
\(887\) | −7.95464 | + | 7.95464i | −0.267091 | + | 0.267091i | −0.827927 | − | 0.560836i | \(-0.810480\pi\) |
0.560836 | + | 0.827927i | \(0.310480\pi\) | |||||||
\(888\) | −0.0248349 | + | 0.0642436i | −0.000833405 | + | 0.00215588i | ||||
\(889\) | 19.1391 | − | 9.98804i | 0.641904 | − | 0.334988i | ||||
\(890\) | −25.8314 | + | 1.96137i | −0.865870 | + | 0.0657453i | ||||
\(891\) | −31.7315 | − | 14.4882i | −1.06304 | − | 0.485371i | ||||
\(892\) | 2.75474 | + | 10.2808i | 0.0922354 | + | 0.344227i | ||||
\(893\) | 1.35522 | − | 1.35522i | 0.0453508 | − | 0.0453508i | ||||
\(894\) | 35.4523 | − | 48.5545i | 1.18570 | − | 1.62391i | ||||
\(895\) | 4.92131 | − | 1.72748i | 0.164501 | − | 0.0577434i | ||||
\(896\) | 8.12025 | + | 0.346227i | 0.271279 | + | 0.0115666i | ||||
\(897\) | 1.08962 | − | 0.169945i | 0.0363815 | − | 0.00567429i | ||||
\(898\) | −19.0145 | − | 70.9630i | −0.634521 | − | 2.36807i | ||||
\(899\) | 40.6873 | − | 70.4724i | 1.35700 | − | 2.35039i | ||||
\(900\) | 29.4000 | − | 14.6031i | 0.979999 | − | 0.486771i | ||||
\(901\) | 13.7561 | − | 7.94211i | 0.458283 | − | 0.264590i | ||||
\(902\) | 72.1841 | + | 19.3417i | 2.40347 | + | 0.644007i | ||||
\(903\) | 11.3829 | − | 1.28149i | 0.378799 | − | 0.0426454i | ||||
\(904\) | 0.788676 | + | 0.455342i | 0.0262310 | + | 0.0151445i | ||||
\(905\) | 18.7792 | + | 16.1287i | 0.624242 | + | 0.536135i | ||||
\(906\) | 13.0929 | + | 9.55981i | 0.434981 | + | 0.317603i | ||||
\(907\) | −25.2765 | − | 25.2765i | −0.839294 | − | 0.839294i | 0.149472 | − | 0.988766i | \(-0.452243\pi\) |
−0.988766 | + | 0.149472i | \(0.952243\pi\) | |||||||
\(908\) | −12.9256 | + | 48.2390i | −0.428951 | + | 1.60087i | ||||
\(909\) | −3.00254 | − | 0.653035i | −0.0995880 | − | 0.0216598i | ||||
\(910\) | −5.76672 | − | 3.07906i | −0.191165 | − | 0.102070i | ||||
\(911\) | −6.95831 | − | 12.0521i | −0.230539 | − | 0.399305i | 0.727428 | − | 0.686184i | \(-0.240716\pi\) |
−0.957967 | + | 0.286879i | \(0.907382\pi\) | |||||||
\(912\) | 2.64679 | + | 3.28432i | 0.0876438 | + | 0.108755i | ||||
\(913\) | 14.0553 | − | 52.4550i | 0.465162 | − | 1.73601i | ||||
\(914\) | −15.9648 | + | 9.21727i | −0.528068 | + | 0.304880i | ||||
\(915\) | 37.2616 | + | 23.0969i | 1.23183 | + | 0.763561i | ||||
\(916\) | 34.1723 | − | 19.7294i | 1.12909 | − | 0.651878i | ||||
\(917\) | −19.5639 | − | 6.14650i | −0.646056 | − | 0.202975i | ||||
\(918\) | 47.0543 | + | 31.0332i | 1.55302 | + | 1.02425i | ||||
\(919\) | 37.8669 | − | 21.8624i | 1.24911 | − | 0.721175i | 0.278180 | − | 0.960529i | \(-0.410269\pi\) |
0.970932 | + | 0.239353i | \(0.0769355\pi\) | |||||||
\(920\) | −0.771550 | − | 0.662651i | −0.0254373 | − | 0.0218470i | ||||
\(921\) | 14.4626 | + | 1.55460i | 0.476560 | + | 0.0512257i | ||||
\(922\) | 22.3183 | − | 22.3183i | 0.735012 | − | 0.735012i | ||||
\(923\) | −2.47457 | + | 0.663059i | −0.0814515 | + | 0.0218249i | ||||
\(924\) | 24.2379 | − | 30.3876i | 0.797367 | − | 0.999679i | ||||
\(925\) | 0.512367 | + | 0.0567085i | 0.0168465 | + | 0.00186456i | ||||
\(926\) | −12.8512 | − | 22.2590i | −0.422318 | − | 0.731477i | ||||
\(927\) | −47.3460 | + | 30.4302i | −1.55505 | + | 0.999457i | ||||
\(928\) | −15.6269 | − | 58.3202i | −0.512977 | − | 1.91446i | ||||
\(929\) | −15.5606 | + | 26.9518i | −0.510527 | + | 0.884260i | 0.489398 | + | 0.872060i | \(0.337217\pi\) |
−0.999926 | + | 0.0121990i | \(0.996117\pi\) | |||||||
\(930\) | 63.1771 | − | 59.3416i | 2.07166 | − | 1.94589i | ||||
\(931\) | 0.404471 | − | 4.73452i | 0.0132560 | − | 0.155168i | ||||
\(932\) | −38.6136 | + | 10.3465i | −1.26483 | + | 0.338911i | ||||
\(933\) | −26.3649 | − | 10.1920i | −0.863147 | − | 0.333670i | ||||
\(934\) | 78.4878 | 2.56820 | ||||||||
\(935\) | −41.4073 | − | 19.8905i | −1.35416 | − | 0.650490i | ||||
\(936\) | −0.462308 | − | 0.420232i | −0.0151110 | − | 0.0137357i | ||||
\(937\) | −16.8114 | + | 16.8114i | −0.549206 | + | 0.549206i | −0.926211 | − | 0.377005i | \(-0.876954\pi\) |
0.377005 | + | 0.926211i | \(0.376954\pi\) | |||||||
\(938\) | 22.4456 | + | 7.05188i | 0.732876 | + | 0.230252i | ||||
\(939\) | −14.4288 | − | 10.5352i | −0.470865 | − | 0.343804i | ||||
\(940\) | −13.7767 | + | 1.04606i | −0.449346 | + | 0.0341187i | ||||
\(941\) | −14.3441 | + | 8.28158i | −0.467605 | + | 0.269972i | −0.715237 | − | 0.698882i | \(-0.753681\pi\) |
0.247632 | + | 0.968854i | \(0.420348\pi\) | |||||||
\(942\) | −6.34155 | − | 7.86905i | −0.206619 | − | 0.256388i | ||||
\(943\) | 10.7312 | − | 2.87542i | 0.349457 | − | 0.0936367i | ||||
\(944\) | −6.84165 | −0.222677 | ||||||||
\(945\) | 26.2095 | + | 16.0643i | 0.852595 | + | 0.522572i | ||||
\(946\) | −19.8277 | −0.644653 | ||||||||
\(947\) | −26.5046 | + | 7.10188i | −0.861283 | + | 0.230780i | −0.662315 | − | 0.749226i | \(-0.730426\pi\) |
−0.198968 | + | 0.980006i | \(0.563759\pi\) | |||||||
\(948\) | −18.9071 | − | 23.4613i | −0.614075 | − | 0.761989i | ||||
\(949\) | 5.27239 | − | 3.04402i | 0.171149 | − | 0.0988130i | ||||
\(950\) | −4.11385 | + | 5.59710i | −0.133471 | + | 0.181594i | ||||
\(951\) | 12.4882 | + | 9.11827i | 0.404956 | + | 0.295680i | ||||
\(952\) | −3.98420 | + | 3.65834i | −0.129129 | + | 0.118568i | ||||
\(953\) | 28.4669 | − | 28.4669i | 0.922133 | − | 0.922133i | −0.0750468 | − | 0.997180i | \(-0.523911\pi\) |
0.997180 | + | 0.0750468i | \(0.0239106\pi\) | |||||||
\(954\) | 17.5255 | − | 5.60308i | 0.567409 | − | 0.181406i | ||||
\(955\) | −7.46816 | − | 21.2756i | −0.241664 | − | 0.688461i | ||||
\(956\) | −39.7503 | −1.28562 | ||||||||
\(957\) | −46.5956 | − | 18.0126i | −1.50622 | − | 0.582266i | ||||
\(958\) | 44.4670 | − | 11.9149i | 1.43666 | − | 0.384953i | ||||
\(959\) | −41.9328 | + | 21.8833i | −1.35408 | + | 0.706649i | ||||
\(960\) | 1.14278 | − | 36.5043i | 0.0368829 | − | 1.17817i | ||||
\(961\) | 44.2893 | − | 76.7114i | 1.42869 | − | 2.47456i | ||||
\(962\) | −0.0294858 | − | 0.110042i | −0.000950660 | − | 0.00354791i | ||||
\(963\) | −37.9925 | − | 19.5845i | −1.22429 | − | 0.631103i | ||||
\(964\) | −4.52366 | − | 7.83521i | −0.145697 | − | 0.252355i | ||||
\(965\) | −30.5702 | + | 20.8866i | −0.984091 | + | 0.672362i | ||||
\(966\) | 1.64934 | − | 10.9359i | 0.0530667 | − | 0.351857i | ||||
\(967\) | 6.64248 | − | 1.77985i | 0.213608 | − | 0.0572360i | −0.150428 | − | 0.988621i | \(-0.548065\pi\) |
0.364036 | + | 0.931385i | \(0.381399\pi\) | |||||||
\(968\) | −1.09698 | + | 1.09698i | −0.0352583 | + | 0.0352583i | ||||
\(969\) | −6.19632 | − | 0.666045i | −0.199054 | − | 0.0213965i | ||||
\(970\) | −27.5007 | + | 32.0201i | −0.882994 | + | 1.02810i | ||||
\(971\) | −6.68421 | + | 3.85913i | −0.214507 | + | 0.123845i | −0.603404 | − | 0.797436i | \(-0.706189\pi\) |
0.388897 | + | 0.921281i | \(0.372856\pi\) | |||||||
\(972\) | 23.8365 | + | 24.4057i | 0.764557 | + | 0.782814i | ||||
\(973\) | −16.9858 | − | 18.4987i | −0.544539 | − | 0.593042i | ||||
\(974\) | −9.75725 | + | 5.63335i | −0.312643 | + | 0.180504i | ||||
\(975\) | −2.15553 | + | 4.14941i | −0.0690324 | + | 0.132888i | ||||
\(976\) | 35.1680 | − | 20.3043i | 1.12570 | − | 0.649924i | ||||
\(977\) | −6.30569 | + | 23.5332i | −0.201737 | + | 0.752893i | 0.788682 | + | 0.614801i | \(0.210764\pi\) |
−0.990419 | + | 0.138092i | \(0.955903\pi\) | |||||||
\(978\) | 17.7238 | + | 21.9930i | 0.566746 | + | 0.703259i | ||||
\(979\) | 10.9703 | + | 19.0012i | 0.350613 | + | 0.607279i | ||||
\(980\) | −24.4494 | + | 23.9922i | −0.781008 | + | 0.766401i | ||||
\(981\) | 0.246440 | − | 0.271115i | 0.00786822 | − | 0.00865604i | ||||
\(982\) | 9.46674 | − | 35.3304i | 0.302096 | − | 1.12744i | ||||
\(983\) | 38.7484 | + | 38.7484i | 1.23588 | + | 1.23588i | 0.961669 | + | 0.274213i | \(0.0884172\pi\) |
0.274213 | + | 0.961669i | \(0.411583\pi\) | |||||||
\(984\) | −5.08316 | − | 3.71149i | −0.162045 | − | 0.118318i | ||||
\(985\) | −4.03885 | + | 0.306669i | −0.128689 | + | 0.00977129i | ||||
\(986\) | 69.9086 | + | 40.3617i | 2.22634 | + | 1.28538i | ||||
\(987\) | −7.68209 | − | 10.4109i | −0.244524 | − | 0.331381i | ||||
\(988\) | 0.774772 | + | 0.207599i | 0.0246488 | + | 0.00660462i | ||||
\(989\) | −2.55276 | + | 1.47384i | −0.0811731 | + | 0.0468653i | ||||
\(990\) | −41.9716 | − | 32.7073i | −1.33395 | − | 1.03951i | ||||
\(991\) | 16.1098 | − | 27.9030i | 0.511745 | − | 0.886368i | −0.488163 | − | 0.872753i | \(-0.662333\pi\) |
0.999907 | − | 0.0136150i | \(-0.00433393\pi\) | |||||||
\(992\) | −22.9634 | − | 85.7007i | −0.729090 | − | 2.72100i | ||||
\(993\) | 47.5631 | − | 7.41825i | 1.50937 | − | 0.235411i | ||||
\(994\) | −1.09445 | + | 25.6687i | −0.0347138 | + | 0.814163i | ||||
\(995\) | 11.7125 | + | 33.3670i | 0.371311 | + | 1.05780i | ||||
\(996\) | −31.3187 | + | 42.8933i | −0.992370 | + | 1.35912i | ||||
\(997\) | 15.1252 | − | 15.1252i | 0.479020 | − | 0.479020i | −0.425798 | − | 0.904818i | \(-0.640007\pi\) |
0.904818 | + | 0.425798i | \(0.140007\pi\) | |||||||
\(998\) | −13.2581 | − | 49.4801i | −0.419679 | − | 1.56626i | ||||
\(999\) | 0.107670 | + | 0.524788i | 0.00340653 | + | 0.0166035i |
(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 | 315.2.cg.e.157.7 | yes | 160 | |
3.2 | odd | 2 | 945.2.cj.e.577.34 | 160 | |||
5.3 | odd | 4 | inner | 315.2.cg.e.283.34 | yes | 160 | |
7.5 | odd | 6 | 315.2.bs.e.292.34 | yes | 160 | ||
9.2 | odd | 6 | 945.2.bv.e.262.7 | 160 | |||
9.7 | even | 3 | 315.2.bs.e.52.34 | ✓ | 160 | ||
15.8 | even | 4 | 945.2.cj.e.388.7 | 160 | |||
21.5 | even | 6 | 945.2.bv.e.712.7 | 160 | |||
35.33 | even | 12 | 315.2.bs.e.103.34 | yes | 160 | ||
45.38 | even | 12 | 945.2.bv.e.73.7 | 160 | |||
45.43 | odd | 12 | 315.2.bs.e.178.34 | yes | 160 | ||
63.47 | even | 6 | 945.2.cj.e.397.7 | 160 | |||
63.61 | odd | 6 | inner | 315.2.cg.e.187.34 | yes | 160 | |
105.68 | odd | 12 | 945.2.bv.e.523.7 | 160 | |||
315.173 | odd | 12 | 945.2.cj.e.208.34 | 160 | |||
315.313 | even | 12 | inner | 315.2.cg.e.313.7 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.34 | ✓ | 160 | 9.7 | even | 3 | ||
315.2.bs.e.103.34 | yes | 160 | 35.33 | even | 12 | ||
315.2.bs.e.178.34 | yes | 160 | 45.43 | odd | 12 | ||
315.2.bs.e.292.34 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.157.7 | yes | 160 | 1.1 | even | 1 | trivial | |
315.2.cg.e.187.34 | yes | 160 | 63.61 | odd | 6 | inner | |
315.2.cg.e.283.34 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.cg.e.313.7 | yes | 160 | 315.313 | even | 12 | inner | |
945.2.bv.e.73.7 | 160 | 45.38 | even | 12 | |||
945.2.bv.e.262.7 | 160 | 9.2 | odd | 6 | |||
945.2.bv.e.523.7 | 160 | 105.68 | odd | 12 | |||
945.2.bv.e.712.7 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.208.34 | 160 | 315.173 | odd | 12 | |||
945.2.cj.e.388.7 | 160 | 15.8 | even | 4 | |||
945.2.cj.e.397.7 | 160 | 63.47 | even | 6 | |||
945.2.cj.e.577.34 | 160 | 3.2 | odd | 2 |