Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,2,Mod(37,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.bq (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: | \(2.68297350792\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 37.6 | ||
Character | \(\chi\) | \(=\) | 336.37 |
Dual form | 336.2.bq.b.109.6 |
$q$-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 \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.17868 | − | 0.781485i | −0.833451 | − | 0.552593i | ||||
\(3\) | 0.965926 | + | 0.258819i | 0.557678 | + | 0.149429i | ||||
\(4\) | 0.778563 | + | 1.84224i | 0.389281 | + | 0.921119i | ||||
\(5\) | −1.63016 | + | 0.436800i | −0.729029 | + | 0.195343i | −0.604197 | − | 0.796835i | \(-0.706506\pi\) |
−0.124832 | + | 0.992178i | \(0.539839\pi\) | |||||||
\(6\) | −0.936252 | − | 1.05992i | −0.382223 | − | 0.432711i | ||||
\(7\) | −2.22530 | + | 1.43110i | −0.841084 | + | 0.540904i | ||||
\(8\) | 0.522007 | − | 2.77984i | 0.184557 | − | 0.982822i | ||||
\(9\) | 0.866025 | + | 0.500000i | 0.288675 | + | 0.166667i | ||||
\(10\) | 2.26279 | + | 0.759099i | 0.715556 | + | 0.240048i | ||||
\(11\) | −0.0320168 | + | 0.119488i | −0.00965344 | + | 0.0360271i | −0.970585 | − | 0.240760i | \(-0.922603\pi\) |
0.960931 | + | 0.276788i | \(0.0892698\pi\) | |||||||
\(12\) | 0.275227 | + | 1.98097i | 0.0794513 | + | 0.571857i | ||||
\(13\) | −3.88035 | + | 3.88035i | −1.07621 | + | 1.07621i | −0.0793690 | + | 0.996845i | \(0.525291\pi\) |
−0.996845 | + | 0.0793690i | \(0.974709\pi\) | |||||||
\(14\) | 3.74129 | + | 0.0522342i | 0.999903 | + | 0.0139602i | ||||
\(15\) | −1.68767 | −0.435753 | ||||||||
\(16\) | −2.78768 | + | 2.86859i | −0.696920 | + | 0.717149i | ||||
\(17\) | 0.0515689 | + | 0.0893200i | 0.0125073 | + | 0.0216633i | 0.872211 | − | 0.489129i | \(-0.162685\pi\) |
−0.859704 | + | 0.510793i | \(0.829352\pi\) | |||||||
\(18\) | −0.630022 | − | 1.26612i | −0.148498 | − | 0.298428i | ||||
\(19\) | 0.855270 | + | 3.19191i | 0.196212 | + | 0.732274i | 0.991950 | + | 0.126633i | \(0.0404169\pi\) |
−0.795737 | + | 0.605642i | \(0.792916\pi\) | |||||||
\(20\) | −2.07387 | − | 2.66307i | −0.463732 | − | 0.595480i | ||||
\(21\) | −2.51987 | + | 0.806385i | −0.549881 | + | 0.175968i | ||||
\(22\) | 0.131116 | − | 0.115818i | 0.0279540 | − | 0.0246924i | ||||
\(23\) | −5.38399 | − | 3.10845i | −1.12264 | − | 0.648157i | −0.180567 | − | 0.983563i | \(-0.557793\pi\) |
−0.942074 | + | 0.335406i | \(0.891126\pi\) | |||||||
\(24\) | 1.22370 | − | 2.55001i | 0.249786 | − | 0.520519i | ||||
\(25\) | −1.86350 | + | 1.07589i | −0.372700 | + | 0.215179i | ||||
\(26\) | 7.60611 | − | 1.54125i | 1.49168 | − | 0.302263i | ||||
\(27\) | 0.707107 | + | 0.707107i | 0.136083 | + | 0.136083i | ||||
\(28\) | −4.36896 | − | 2.98533i | −0.825656 | − | 0.564175i | ||||
\(29\) | −2.66015 | + | 2.66015i | −0.493977 | + | 0.493977i | −0.909557 | − | 0.415580i | \(-0.863579\pi\) |
0.415580 | + | 0.909557i | \(0.363579\pi\) | |||||||
\(30\) | 1.98921 | + | 1.31888i | 0.363179 | + | 0.240794i | ||||
\(31\) | 2.17434 | + | 3.76607i | 0.390523 | + | 0.676406i | 0.992519 | − | 0.122093i | \(-0.0389607\pi\) |
−0.601995 | + | 0.798500i | \(0.705627\pi\) | |||||||
\(32\) | 5.52754 | − | 1.20262i | 0.977140 | − | 0.212595i | ||||
\(33\) | −0.0618518 | + | 0.107130i | −0.0107670 | + | 0.0186490i | ||||
\(34\) | 0.00901909 | − | 0.145580i | 0.00154676 | − | 0.0249667i | ||||
\(35\) | 3.00249 | − | 3.30493i | 0.507513 | − | 0.558635i | ||||
\(36\) | −0.246864 | + | 1.98471i | −0.0411440 | + | 0.330784i | ||||
\(37\) | 8.88833 | − | 2.38162i | 1.46123 | − | 0.391536i | 0.561317 | − | 0.827601i | \(-0.310295\pi\) |
0.899915 | + | 0.436065i | \(0.143628\pi\) | |||||||
\(38\) | 1.48634 | − | 4.43061i | 0.241117 | − | 0.718741i | ||||
\(39\) | −4.75243 | + | 2.74382i | −0.760998 | + | 0.439363i | ||||
\(40\) | 0.363280 | + | 4.75959i | 0.0574396 | + | 0.752558i | ||||
\(41\) | 7.82242i | 1.22166i | 0.791763 | + | 0.610828i | \(0.209164\pi\) | ||||
−0.791763 | + | 0.610828i | \(0.790836\pi\) | |||||||
\(42\) | 3.60029 | + | 1.01877i | 0.555537 | + | 0.157200i | ||||
\(43\) | −0.793700 | − | 0.793700i | −0.121038 | − | 0.121038i | 0.643993 | − | 0.765031i | \(-0.277277\pi\) |
−0.765031 | + | 0.643993i | \(0.777277\pi\) | |||||||
\(44\) | −0.245053 | + | 0.0340466i | −0.0369432 | + | 0.00513272i | ||||
\(45\) | −1.63016 | − | 0.436800i | −0.243010 | − | 0.0651143i | ||||
\(46\) | 3.91679 | + | 7.87137i | 0.577499 | + | 1.16057i | ||||
\(47\) | 1.78253 | − | 3.08744i | 0.260009 | − | 0.450349i | −0.706235 | − | 0.707978i | \(-0.749608\pi\) |
0.966244 | + | 0.257628i | \(0.0829410\pi\) | |||||||
\(48\) | −3.43514 | + | 2.04935i | −0.495820 | + | 0.295797i | ||||
\(49\) | 2.90392 | − | 6.36924i | 0.414845 | − | 0.909892i | ||||
\(50\) | 3.03726 | + | 0.188167i | 0.429534 | + | 0.0266108i | ||||
\(51\) | 0.0266940 | + | 0.0996235i | 0.00373791 | + | 0.0139501i | ||||
\(52\) | −10.1696 | − | 4.12743i | −1.41027 | − | 0.572371i | ||||
\(53\) | −3.15822 | + | 11.7866i | −0.433814 | + | 1.61902i | 0.310074 | + | 0.950712i | \(0.399646\pi\) |
−0.743888 | + | 0.668304i | \(0.767020\pi\) | |||||||
\(54\) | −0.280858 | − | 1.38604i | −0.0382199 | − | 0.188617i | ||||
\(55\) | − | 0.208770i | − | 0.0281506i | ||||||
\(56\) | 2.81660 | + | 6.93302i | 0.376384 | + | 0.926464i | ||||
\(57\) | 3.30451i | 0.437693i | ||||||||
\(58\) | 5.21432 | − | 1.05659i | 0.684674 | − | 0.138737i | ||||
\(59\) | 1.76351 | − | 6.58151i | 0.229589 | − | 0.856839i | −0.750924 | − | 0.660388i | \(-0.770392\pi\) |
0.980514 | − | 0.196451i | \(-0.0629416\pi\) | |||||||
\(60\) | −1.31395 | − | 3.10908i | −0.169631 | − | 0.401381i | ||||
\(61\) | 1.64166 | + | 6.12674i | 0.210192 | + | 0.784449i | 0.987804 | + | 0.155704i | \(0.0497645\pi\) |
−0.777611 | + | 0.628745i | \(0.783569\pi\) | |||||||
\(62\) | 0.380279 | − | 6.13820i | 0.0482955 | − | 0.779552i | ||||
\(63\) | −2.64272 | + | 0.126718i | −0.332951 | + | 0.0159649i | ||||
\(64\) | −7.45502 | − | 2.90219i | −0.931877 | − | 0.362774i | ||||
\(65\) | 4.63065 | − | 8.02052i | 0.574361 | − | 0.994823i | ||||
\(66\) | 0.156624 | − | 0.0779360i | 0.0192791 | − | 0.00959326i | ||||
\(67\) | −3.39177 | − | 0.908823i | −0.414371 | − | 0.111030i | 0.0456095 | − | 0.998959i | \(-0.485477\pi\) |
−0.459981 | + | 0.887929i | \(0.652144\pi\) | |||||||
\(68\) | −0.124399 | + | 0.164543i | −0.0150856 | + | 0.0199538i | ||||
\(69\) | −4.39601 | − | 4.39601i | −0.529218 | − | 0.529218i | ||||
\(70\) | −6.12172 | + | 1.54905i | −0.731685 | + | 0.185146i | ||||
\(71\) | − | 11.8749i | − | 1.40930i | −0.709557 | − | 0.704648i | \(-0.751105\pi\) | ||
0.709557 | − | 0.704648i | \(-0.248895\pi\) | |||||||
\(72\) | 1.84199 | − | 2.14641i | 0.217081 | − | 0.252957i | ||||
\(73\) | 8.37816 | − | 4.83713i | 0.980590 | − | 0.566144i | 0.0781416 | − | 0.996942i | \(-0.475101\pi\) |
0.902448 | + | 0.430798i | \(0.141768\pi\) | |||||||
\(74\) | −12.3377 | − | 4.13893i | −1.43423 | − | 0.481141i | ||||
\(75\) | −2.07847 | + | 0.556923i | −0.240001 | + | 0.0643080i | ||||
\(76\) | −5.21438 | + | 4.06071i | −0.598130 | + | 0.465796i | ||||
\(77\) | −0.0997527 | − | 0.311717i | −0.0113679 | − | 0.0355234i | ||||
\(78\) | 7.74584 | + | 0.479877i | 0.877044 | + | 0.0543354i | ||||
\(79\) | 7.10979 | − | 12.3145i | 0.799913 | − | 1.38549i | −0.119759 | − | 0.992803i | \(-0.538212\pi\) |
0.919672 | − | 0.392688i | \(-0.128455\pi\) | |||||||
\(80\) | 3.29136 | − | 5.89393i | 0.367985 | − | 0.658961i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | 6.11310 | − | 9.22011i | 0.675079 | − | 1.01819i | ||||
\(83\) | 3.85826 | − | 3.85826i | 0.423499 | − | 0.423499i | −0.462908 | − | 0.886406i | \(-0.653194\pi\) |
0.886406 | + | 0.462908i | \(0.153194\pi\) | |||||||
\(84\) | −3.44743 | − | 4.01438i | −0.376145 | − | 0.438005i | ||||
\(85\) | −0.123081 | − | 0.123081i | −0.0133500 | − | 0.0133500i | ||||
\(86\) | 0.315252 | + | 1.55578i | 0.0339945 | + | 0.167764i | ||||
\(87\) | −3.25800 | + | 1.88101i | −0.349294 | + | 0.201665i | ||||
\(88\) | 0.315446 | + | 0.151375i | 0.0336266 | + | 0.0161367i | ||||
\(89\) | 2.98637 | + | 1.72418i | 0.316555 | + | 0.182763i | 0.649856 | − | 0.760057i | \(-0.274829\pi\) |
−0.333301 | + | 0.942820i | \(0.608163\pi\) | |||||||
\(90\) | 1.58008 | + | 1.78879i | 0.166555 | + | 0.188555i | ||||
\(91\) | 3.08178 | − | 14.1881i | 0.323058 | − | 1.48732i | ||||
\(92\) | 1.53473 | − | 12.3387i | 0.160006 | − | 1.28640i | ||||
\(93\) | 1.12552 | + | 4.20051i | 0.116711 | + | 0.435572i | ||||
\(94\) | −4.51382 | + | 2.24607i | −0.465565 | + | 0.231665i | ||||
\(95\) | −2.78845 | − | 4.82974i | −0.286089 | − | 0.495521i | ||||
\(96\) | 5.65046 | + | 0.268992i | 0.576697 | + | 0.0274539i | ||||
\(97\) | −16.7914 | −1.70491 | −0.852454 | − | 0.522802i | \(-0.824887\pi\) | ||||
−0.852454 | + | 0.522802i | \(0.824887\pi\) | |||||||
\(98\) | −8.40025 | + | 5.23792i | −0.848553 | + | 0.529110i | ||||
\(99\) | −0.0874716 | + | 0.0874716i | −0.00879123 | + | 0.00879123i | ||||
\(100\) | −3.43290 | − | 2.59536i | −0.343290 | − | 0.259536i | ||||
\(101\) | −4.06013 | + | 15.1526i | −0.403999 | + | 1.50774i | 0.401897 | + | 0.915685i | \(0.368351\pi\) |
−0.805895 | + | 0.592058i | \(0.798316\pi\) | |||||||
\(102\) | 0.0463906 | − | 0.138285i | 0.00459336 | − | 0.0136923i | ||||
\(103\) | −9.96503 | − | 5.75331i | −0.981883 | − | 0.566891i | −0.0790450 | − | 0.996871i | \(-0.525187\pi\) |
−0.902838 | + | 0.429981i | \(0.858520\pi\) | |||||||
\(104\) | 8.76117 | + | 12.8123i | 0.859104 | + | 1.25635i | ||||
\(105\) | 3.75556 | − | 2.41521i | 0.366505 | − | 0.235701i | ||||
\(106\) | 12.9336 | − | 11.4245i | 1.25622 | − | 1.10965i | ||||
\(107\) | −4.44722 | + | 1.19163i | −0.429929 | + | 0.115199i | −0.467293 | − | 0.884103i | \(-0.654771\pi\) |
0.0373637 | + | 0.999302i | \(0.488104\pi\) | |||||||
\(108\) | −0.752132 | + | 1.85319i | −0.0723739 | + | 0.178323i | ||||
\(109\) | 7.22537 | + | 1.93603i | 0.692065 | + | 0.185438i | 0.587674 | − | 0.809098i | \(-0.300044\pi\) |
0.104391 | + | 0.994536i | \(0.466711\pi\) | |||||||
\(110\) | −0.163151 | + | 0.246073i | −0.0155558 | + | 0.0234621i | ||||
\(111\) | 9.20188 | 0.873403 | ||||||||
\(112\) | 2.09818 | − | 10.3729i | 0.198260 | − | 0.980150i | ||||
\(113\) | −7.87902 | −0.741196 | −0.370598 | − | 0.928793i | \(-0.620847\pi\) | ||||
−0.370598 | + | 0.928793i | \(0.620847\pi\) | |||||||
\(114\) | 2.58242 | − | 3.89495i | 0.241866 | − | 0.364796i | ||||
\(115\) | 10.1345 | + | 2.71554i | 0.945051 | + | 0.253226i | ||||
\(116\) | −6.97171 | − | 2.82953i | −0.647307 | − | 0.262715i | ||||
\(117\) | −5.30065 | + | 1.42031i | −0.490045 | + | 0.131307i | ||||
\(118\) | −7.22196 | + | 6.37932i | −0.664835 | + | 0.587264i | ||||
\(119\) | −0.242582 | − | 0.124964i | −0.0222375 | − | 0.0114554i | ||||
\(120\) | −0.880972 | + | 4.69144i | −0.0804214 | + | 0.428268i | ||||
\(121\) | 9.51303 | + | 5.49235i | 0.864821 | + | 0.499304i | ||||
\(122\) | 2.85297 | − | 8.50438i | 0.258296 | − | 0.769951i | ||||
\(123\) | −2.02459 | + | 7.55588i | −0.182551 | + | 0.681291i | ||||
\(124\) | −5.24514 | + | 6.93778i | −0.471027 | + | 0.623031i | ||||
\(125\) | 8.53465 | − | 8.53465i | 0.763362 | − | 0.763362i | ||||
\(126\) | 3.21394 | + | 1.91588i | 0.286320 | + | 0.170680i | ||||
\(127\) | −3.44200 | −0.305429 | −0.152714 | − | 0.988270i | \(-0.548801\pi\) | ||||
−0.152714 | + | 0.988270i | \(0.548801\pi\) | |||||||
\(128\) | 6.51905 | + | 9.24673i | 0.576208 | + | 0.817303i | ||||
\(129\) | −0.561230 | − | 0.972080i | −0.0494136 | − | 0.0855868i | ||||
\(130\) | −11.7260 | + | 5.83482i | −1.02843 | + | 0.511748i | ||||
\(131\) | 3.35250 | + | 12.5117i | 0.292909 | + | 1.09315i | 0.942864 | + | 0.333178i | \(0.108121\pi\) |
−0.649955 | + | 0.759973i | \(0.725212\pi\) | |||||||
\(132\) | −0.245515 | − | 0.0305380i | −0.0213694 | − | 0.00265799i | ||||
\(133\) | −6.47117 | − | 5.87898i | −0.561122 | − | 0.509772i | ||||
\(134\) | 3.28758 | + | 3.72183i | 0.284003 | + | 0.321517i | ||||
\(135\) | −1.46156 | − | 0.843833i | −0.125791 | − | 0.0726255i | ||||
\(136\) | 0.275215 | − | 0.0967277i | 0.0235995 | − | 0.00829433i | ||||
\(137\) | 2.01253 | − | 1.16193i | 0.171942 | − | 0.0992707i | −0.411559 | − | 0.911383i | \(-0.635016\pi\) |
0.583501 | + | 0.812112i | \(0.301682\pi\) | |||||||
\(138\) | 1.74606 | + | 8.61690i | 0.148635 | + | 0.733519i | ||||
\(139\) | 9.76365 | + | 9.76365i | 0.828142 | + | 0.828142i | 0.987260 | − | 0.159118i | \(-0.0508650\pi\) |
−0.159118 | + | 0.987260i | \(0.550865\pi\) | |||||||
\(140\) | 8.42609 | + | 2.95821i | 0.712135 | + | 0.250014i | ||||
\(141\) | 2.52088 | − | 2.52088i | 0.212297 | − | 0.212297i | ||||
\(142\) | −9.28008 | + | 13.9967i | −0.778767 | + | 1.17458i | ||||
\(143\) | −0.339420 | − | 0.587893i | −0.0283837 | − | 0.0491621i | ||||
\(144\) | −3.84850 | + | 1.09044i | −0.320708 | + | 0.0908697i | ||||
\(145\) | 3.17451 | − | 5.49841i | 0.263629 | − | 0.456618i | ||||
\(146\) | −13.6553 | − | 0.845985i | −1.13012 | − | 0.0700142i | ||||
\(147\) | 4.45345 | − | 5.40063i | 0.367314 | − | 0.445436i | ||||
\(148\) | 11.3076 | + | 14.5202i | 0.929482 | + | 1.19355i | ||||
\(149\) | 3.28977 | − | 0.881490i | 0.269508 | − | 0.0722145i | −0.121534 | − | 0.992587i | \(-0.538781\pi\) |
0.391042 | + | 0.920373i | \(0.372115\pi\) | |||||||
\(150\) | 2.88507 | + | 0.967857i | 0.235565 | + | 0.0790252i | ||||
\(151\) | 2.57556 | − | 1.48700i | 0.209596 | − | 0.121010i | −0.391528 | − | 0.920166i | \(-0.628053\pi\) |
0.601124 | + | 0.799156i | \(0.294720\pi\) | |||||||
\(152\) | 9.31946 | − | 0.711315i | 0.755908 | − | 0.0576952i | ||||
\(153\) | 0.103138i | 0.00833820i | ||||||||
\(154\) | −0.126026 | + | 0.445369i | −0.0101554 | + | 0.0358889i | ||||
\(155\) | −5.18954 | − | 5.18954i | −0.416834 | − | 0.416834i | ||||
\(156\) | −8.75483 | − | 6.61888i | −0.700948 | − | 0.529934i | ||||
\(157\) | 7.11322 | + | 1.90598i | 0.567697 | + | 0.152114i | 0.531240 | − | 0.847221i | \(-0.321726\pi\) |
0.0364566 | + | 0.999335i | \(0.488393\pi\) | |||||||
\(158\) | −18.0038 | + | 8.95865i | −1.43230 | + | 0.712712i | ||||
\(159\) | −6.10120 | + | 10.5676i | −0.483857 | + | 0.838065i | ||||
\(160\) | −8.48547 | + | 4.37489i | −0.670835 | + | 0.345865i | ||||
\(161\) | 16.4295 | − | 0.787792i | 1.29483 | − | 0.0620867i | ||||
\(162\) | 0.0874469 | − | 1.41151i | 0.00687048 | − | 0.110898i | ||||
\(163\) | 4.69543 | + | 17.5236i | 0.367774 | + | 1.37255i | 0.863621 | + | 0.504142i | \(0.168191\pi\) |
−0.495846 | + | 0.868410i | \(0.665142\pi\) | |||||||
\(164\) | −14.4108 | + | 6.09024i | −1.12529 | + | 0.475568i | ||||
\(165\) | 0.0540337 | − | 0.201657i | 0.00420652 | − | 0.0156989i | ||||
\(166\) | −7.56281 | + | 1.53247i | −0.586988 | + | 0.118943i | ||||
\(167\) | 7.46904i | 0.577971i | 0.957333 | + | 0.288986i | \(0.0933180\pi\) | ||||
−0.957333 | + | 0.288986i | \(0.906682\pi\) | |||||||
\(168\) | 0.926232 | + | 7.42577i | 0.0714604 | + | 0.572911i | ||||
\(169\) | − | 17.1142i | − | 1.31647i | ||||||
\(170\) | 0.0488867 | + | 0.241258i | 0.00374944 | + | 0.0185036i | ||||
\(171\) | −0.855270 | + | 3.19191i | −0.0654041 | + | 0.244091i | ||||
\(172\) | 0.844239 | − | 2.08013i | 0.0643726 | − | 0.158608i | ||||
\(173\) | 4.70704 | + | 17.5669i | 0.357869 | + | 1.33559i | 0.876835 | + | 0.480792i | \(0.159651\pi\) |
−0.518965 | + | 0.854795i | \(0.673683\pi\) | |||||||
\(174\) | 5.31011 | + | 0.328977i | 0.402559 | + | 0.0249397i | ||||
\(175\) | 2.60714 | − | 5.06104i | 0.197081 | − | 0.382579i | ||||
\(176\) | −0.253511 | − | 0.424939i | −0.0191091 | − | 0.0320310i | ||||
\(177\) | 3.40684 | − | 5.90082i | 0.256074 | − | 0.443532i | ||||
\(178\) | −2.17255 | − | 4.36606i | −0.162839 | − | 0.327250i | ||||
\(179\) | −7.89100 | − | 2.11439i | −0.589801 | − | 0.158037i | −0.0484389 | − | 0.998826i | \(-0.515425\pi\) |
−0.541362 | + | 0.840789i | \(0.682091\pi\) | |||||||
\(180\) | −0.464492 | − | 3.34322i | −0.0346212 | − | 0.249189i | ||||
\(181\) | 7.34788 | + | 7.34788i | 0.546163 | + | 0.546163i | 0.925329 | − | 0.379166i | \(-0.123789\pi\) |
−0.379166 | + | 0.925329i | \(0.623789\pi\) | |||||||
\(182\) | −14.7202 | + | 14.3148i | −1.09113 | + | 1.06109i | ||||
\(183\) | 6.34287i | 0.468878i | ||||||||
\(184\) | −11.4515 | + | 13.3440i | −0.844214 | + | 0.983733i | ||||
\(185\) | −13.4491 | + | 7.76484i | −0.988798 | + | 0.570883i | ||||
\(186\) | 1.95600 | − | 5.83062i | 0.143421 | − | 0.427522i | ||||
\(187\) | −0.0123238 | + | 0.00330215i | −0.000901205 | + | 0.000241477i | ||||
\(188\) | 7.07561 | + | 0.880087i | 0.516042 | + | 0.0641869i | ||||
\(189\) | −2.58546 | − | 0.561585i | −0.188065 | − | 0.0408493i | ||||
\(190\) | −0.487683 | + | 7.87184i | −0.0353803 | + | 0.571083i | ||||
\(191\) | −11.4751 | + | 19.8755i | −0.830311 | + | 1.43814i | 0.0674815 | + | 0.997721i | \(0.478504\pi\) |
−0.897792 | + | 0.440420i | \(0.854830\pi\) | |||||||
\(192\) | −6.44985 | − | 4.73280i | −0.465478 | − | 0.341560i | ||||
\(193\) | −4.23257 | − | 7.33103i | −0.304667 | − | 0.527699i | 0.672520 | − | 0.740079i | \(-0.265212\pi\) |
−0.977187 | + | 0.212380i | \(0.931879\pi\) | |||||||
\(194\) | 19.7917 | + | 13.1222i | 1.42096 | + | 0.942121i | ||||
\(195\) | 6.54872 | − | 6.54872i | 0.468964 | − | 0.468964i | ||||
\(196\) | 13.9945 | + | 0.390847i | 0.999610 | + | 0.0279176i | ||||
\(197\) | −17.4061 | − | 17.4061i | −1.24013 | − | 1.24013i | −0.959945 | − | 0.280190i | \(-0.909603\pi\) |
−0.280190 | − | 0.959945i | \(-0.590397\pi\) | |||||||
\(198\) | 0.171459 | − | 0.0347431i | 0.0121850 | − | 0.00246909i | ||||
\(199\) | 2.12979 | − | 1.22963i | 0.150977 | − | 0.0871665i | −0.422608 | − | 0.906312i | \(-0.638885\pi\) |
0.573585 | + | 0.819146i | \(0.305552\pi\) | |||||||
\(200\) | 2.01805 | + | 5.74186i | 0.142698 | + | 0.406011i | ||||
\(201\) | −3.04098 | − | 1.75571i | −0.214494 | − | 0.123838i | ||||
\(202\) | 16.6271 | − | 14.6871i | 1.16988 | − | 1.03338i | ||||
\(203\) | 2.11269 | − | 9.72655i | 0.148282 | − | 0.682670i | ||||
\(204\) | −0.162747 | + | 0.126740i | −0.0113946 | + | 0.00887357i | ||||
\(205\) | −3.41683 | − | 12.7518i | −0.238642 | − | 0.890624i | ||||
\(206\) | 7.24943 | + | 14.5688i | 0.505092 | + | 1.01506i | ||||
\(207\) | −3.10845 | − | 5.38399i | −0.216052 | − | 0.374213i | ||||
\(208\) | −0.313976 | − | 21.9483i | −0.0217703 | − | 1.52184i | ||||
\(209\) | −0.408780 | −0.0282759 | ||||||||
\(210\) | −6.31405 | − | 0.0881538i | −0.435711 | − | 0.00608319i | ||||
\(211\) | 0.156776 | − | 0.156776i | 0.0107929 | − | 0.0107929i | −0.701690 | − | 0.712483i | \(-0.747571\pi\) |
0.712483 | + | 0.701690i | \(0.247571\pi\) | |||||||
\(212\) | −24.1726 | + | 3.35844i | −1.66018 | + | 0.230658i | ||||
\(213\) | 3.07346 | − | 11.4703i | 0.210590 | − | 0.785932i | ||||
\(214\) | 6.17308 | + | 2.07089i | 0.421983 | + | 0.141563i | ||||
\(215\) | 1.64054 | + | 0.947169i | 0.111884 | + | 0.0645964i | ||||
\(216\) | 2.33476 | − | 1.59653i | 0.158860 | − | 0.108630i | ||||
\(217\) | −10.2282 | − | 5.26894i | −0.694334 | − | 0.357679i | ||||
\(218\) | −7.00340 | − | 7.92847i | −0.474330 | − | 0.536984i | ||||
\(219\) | 9.34463 | − | 2.50389i | 0.631451 | − | 0.169197i | ||||
\(220\) | 0.384604 | − | 0.162541i | 0.0259300 | − | 0.0109585i | ||||
\(221\) | −0.546698 | − | 0.146487i | −0.0367749 | − | 0.00985380i | ||||
\(222\) | −10.8460 | − | 7.19113i | −0.727939 | − | 0.482637i | ||||
\(223\) | 20.1591 | 1.34995 | 0.674975 | − | 0.737840i | \(-0.264154\pi\) | ||||
0.674975 | + | 0.737840i | \(0.264154\pi\) | |||||||
\(224\) | −10.5794 | + | 10.5866i | −0.706864 | + | 0.707350i | ||||
\(225\) | −2.15179 | −0.143452 | ||||||||
\(226\) | 9.28682 | + | 6.15733i | 0.617750 | + | 0.409580i | ||||
\(227\) | 20.1725 | + | 5.40520i | 1.33889 | + | 0.358756i | 0.856024 | − | 0.516936i | \(-0.172927\pi\) |
0.482871 | + | 0.875692i | \(0.339594\pi\) | |||||||
\(228\) | −6.08769 | + | 2.57277i | −0.403167 | + | 0.170386i | ||||
\(229\) | 1.52564 | − | 0.408793i | 0.100817 | − | 0.0270138i | −0.208058 | − | 0.978117i | \(-0.566714\pi\) |
0.308875 | + | 0.951103i | \(0.400048\pi\) | |||||||
\(230\) | −9.82320 | − | 11.1207i | −0.647723 | − | 0.733280i | ||||
\(231\) | −0.0156754 | − | 0.326913i | −0.00103137 | − | 0.0215093i | ||||
\(232\) | 6.00617 | + | 8.78340i | 0.394324 | + | 0.576658i | ||||
\(233\) | 0.208081 | + | 0.120135i | 0.0136318 | + | 0.00787034i | 0.506800 | − | 0.862063i | \(-0.330828\pi\) |
−0.493169 | + | 0.869934i | \(0.664161\pi\) | |||||||
\(234\) | 7.35771 | + | 2.46830i | 0.480988 | + | 0.161358i | ||||
\(235\) | −1.55722 | + | 5.81163i | −0.101582 | + | 0.379109i | ||||
\(236\) | 13.4977 | − | 1.87531i | 0.878625 | − | 0.122072i | ||||
\(237\) | 10.0548 | − | 10.0548i | 0.653127 | − | 0.653127i | ||||
\(238\) | 0.188269 | + | 0.336866i | 0.0122037 | + | 0.0218358i | ||||
\(239\) | −19.4728 | −1.25959 | −0.629794 | − | 0.776762i | \(-0.716861\pi\) | ||||
−0.629794 | + | 0.776762i | \(0.716861\pi\) | |||||||
\(240\) | 4.70467 | − | 4.84123i | 0.303685 | − | 0.312500i | ||||
\(241\) | 7.89042 | + | 13.6666i | 0.508267 | + | 0.880344i | 0.999954 | + | 0.00957192i | \(0.00304688\pi\) |
−0.491688 | + | 0.870772i | \(0.663620\pi\) | |||||||
\(242\) | −6.92061 | − | 13.9080i | −0.444873 | − | 0.894040i | ||||
\(243\) | 0.258819 | + | 0.965926i | 0.0166032 | + | 0.0619642i | ||||
\(244\) | −10.0088 | + | 7.79437i | −0.640747 | + | 0.498983i | ||||
\(245\) | −1.95176 | + | 11.6513i | −0.124693 | + | 0.744375i | ||||
\(246\) | 8.29115 | − | 7.32376i | 0.528624 | − | 0.466946i | ||||
\(247\) | −15.7045 | − | 9.06697i | −0.999251 | − | 0.576918i | ||||
\(248\) | 11.6041 | − | 4.07841i | 0.736861 | − | 0.258979i | ||||
\(249\) | 4.72538 | − | 2.72820i | 0.299459 | − | 0.172893i | ||||
\(250\) | −16.7293 | + | 3.38990i | −1.05805 | + | 0.214396i | ||||
\(251\) | 1.93751 | + | 1.93751i | 0.122294 | + | 0.122294i | 0.765605 | − | 0.643311i | \(-0.222440\pi\) |
−0.643311 | + | 0.765605i | \(0.722440\pi\) | |||||||
\(252\) | −2.29096 | − | 4.76985i | −0.144317 | − | 0.300472i | ||||
\(253\) | 0.543802 | − | 0.543802i | 0.0341886 | − | 0.0341886i | ||||
\(254\) | 4.05701 | + | 2.68987i | 0.254560 | + | 0.168778i | ||||
\(255\) | −0.0870311 | − | 0.150742i | −0.00545010 | − | 0.00943985i | ||||
\(256\) | −0.457674 | − | 15.9935i | −0.0286047 | − | 0.999591i | ||||
\(257\) | −1.93127 | + | 3.34505i | −0.120469 | + | 0.208659i | −0.919953 | − | 0.392029i | \(-0.871773\pi\) |
0.799484 | + | 0.600688i | \(0.205107\pi\) | |||||||
\(258\) | −0.0981557 | + | 1.58436i | −0.00611091 | + | 0.0986381i | ||||
\(259\) | −16.3709 | + | 18.0199i | −1.01724 | + | 1.11970i | ||||
\(260\) | 18.3809 | + | 2.28628i | 1.13994 | + | 0.141789i | ||||
\(261\) | −3.63383 | + | 0.973681i | −0.224928 | + | 0.0602694i | ||||
\(262\) | 5.82618 | − | 17.3672i | 0.359943 | − | 1.07295i | ||||
\(263\) | 24.7833 | − | 14.3086i | 1.52820 | − | 0.882309i | 0.528766 | − | 0.848768i | \(-0.322655\pi\) |
0.999437 | − | 0.0335411i | \(-0.0106785\pi\) | |||||||
\(264\) | 0.265518 | + | 0.227861i | 0.0163415 | + | 0.0140239i | ||||
\(265\) | − | 20.5936i | − | 1.26505i | ||||||
\(266\) | 3.03309 | + | 11.9865i | 0.185971 | + | 0.734942i | ||||
\(267\) | 2.43836 | + | 2.43836i | 0.149225 | + | 0.149225i | ||||
\(268\) | −0.966440 | − | 6.95603i | −0.0590347 | − | 0.424907i | ||||
\(269\) | −12.3604 | − | 3.31195i | −0.753625 | − | 0.201933i | −0.138500 | − | 0.990362i | \(-0.544228\pi\) |
−0.615125 | + | 0.788429i | \(0.710895\pi\) | |||||||
\(270\) | 1.06327 | + | 2.13679i | 0.0647084 | + | 0.130041i | ||||
\(271\) | 10.5175 | − | 18.2168i | 0.638892 | − | 1.10659i | −0.346785 | − | 0.937945i | \(-0.612727\pi\) |
0.985676 | − | 0.168648i | \(-0.0539401\pi\) | |||||||
\(272\) | −0.399981 | − | 0.101065i | −0.0242524 | − | 0.00612798i | ||||
\(273\) | 6.64891 | − | 12.9070i | 0.402411 | − | 0.781168i | ||||
\(274\) | −3.28016 | − | 0.203215i | −0.198161 | − | 0.0122767i | ||||
\(275\) | −0.0688934 | − | 0.257114i | −0.00415443 | − | 0.0155045i | ||||
\(276\) | 4.67593 | − | 11.5211i | 0.281458 | − | 0.693487i | ||||
\(277\) | −8.50264 | + | 31.7323i | −0.510874 | + | 1.90661i | −0.0997937 | + | 0.995008i | \(0.531818\pi\) |
−0.411080 | + | 0.911599i | \(0.634848\pi\) | |||||||
\(278\) | −3.87805 | − | 19.1383i | −0.232590 | − | 1.14784i | ||||
\(279\) | 4.34868i | 0.260349i | ||||||||
\(280\) | −7.61985 | − | 10.0716i | −0.455373 | − | 0.601895i | ||||
\(281\) | 23.1923i | 1.38354i | 0.722120 | + | 0.691768i | \(0.243168\pi\) | ||||
−0.722120 | + | 0.691768i | \(0.756832\pi\) | |||||||
\(282\) | −4.94134 | + | 1.00128i | −0.294253 | + | 0.0596252i | ||||
\(283\) | −3.46652 | + | 12.9372i | −0.206063 | + | 0.769038i | 0.783060 | + | 0.621947i | \(0.213658\pi\) |
−0.989123 | + | 0.147092i | \(0.953009\pi\) | |||||||
\(284\) | 21.8764 | − | 9.24538i | 1.29813 | − | 0.548612i | ||||
\(285\) | −1.44341 | − | 5.38688i | −0.0855002 | − | 0.319091i | ||||
\(286\) | −0.0593625 | + | 0.958188i | −0.00351018 | + | 0.0566589i | ||||
\(287\) | −11.1947 | − | 17.4072i | −0.660800 | − | 1.02752i | ||||
\(288\) | 5.38830 | + | 1.72227i | 0.317509 | + | 0.101486i | ||||
\(289\) | 8.49468 | − | 14.7132i | 0.499687 | − | 0.865484i | ||||
\(290\) | −8.03865 | + | 4.00003i | −0.472046 | + | 0.234890i | ||||
\(291\) | −16.2193 | − | 4.34593i | −0.950789 | − | 0.254763i | ||||
\(292\) | 15.4341 | + | 11.6686i | 0.903211 | + | 0.682851i | ||||
\(293\) | −0.436102 | − | 0.436102i | −0.0254773 | − | 0.0254773i | 0.694253 | − | 0.719731i | \(-0.255735\pi\) |
−0.719731 | + | 0.694253i | \(0.755735\pi\) | |||||||
\(294\) | −9.46969 | + | 2.88530i | −0.552284 | + | 0.168274i | ||||
\(295\) | 11.4992i | 0.669509i | ||||||||
\(296\) | −1.98076 | − | 25.9514i | −0.115129 | − | 1.50839i | ||||
\(297\) | −0.107130 | + | 0.0618518i | −0.00621634 | + | 0.00358901i | ||||
\(298\) | −4.56644 | − | 1.53191i | −0.264527 | − | 0.0887411i | ||||
\(299\) | 32.9536 | − | 8.82990i | 1.90576 | − | 0.510646i | ||||
\(300\) | −2.64420 | − | 3.39543i | −0.152663 | − | 0.196035i | ||||
\(301\) | 2.90208 | + | 0.630357i | 0.167273 | + | 0.0363332i | ||||
\(302\) | −4.19782 | − | 0.260067i | −0.241557 | − | 0.0149652i | ||||
\(303\) | −7.84358 | + | 13.5855i | −0.450602 | + | 0.780465i | ||||
\(304\) | −11.5405 | − | 6.44460i | −0.661894 | − | 0.369623i | ||||
\(305\) | −5.35232 | − | 9.27049i | −0.306473 | − | 0.530827i | ||||
\(306\) | 0.0806007 | − | 0.121566i | 0.00460763 | − | 0.00694948i | ||||
\(307\) | −17.9528 | + | 17.9528i | −1.02462 | + | 1.02462i | −0.0249294 | + | 0.999689i | \(0.507936\pi\) |
−0.999689 | + | 0.0249294i | \(0.992064\pi\) | |||||||
\(308\) | 0.496593 | − | 0.426459i | 0.0282960 | − | 0.0242998i | ||||
\(309\) | −8.13641 | − | 8.13641i | −0.462864 | − | 0.462864i | ||||
\(310\) | 2.06125 | + | 10.1723i | 0.117071 | + | 0.577751i | ||||
\(311\) | −28.1309 | + | 16.2414i | −1.59516 | + | 0.920966i | −0.602758 | + | 0.797924i | \(0.705931\pi\) |
−0.992402 | + | 0.123041i | \(0.960735\pi\) | |||||||
\(312\) | 5.14657 | + | 14.6433i | 0.291367 | + | 0.829013i | ||||
\(313\) | −20.9903 | − | 12.1187i | −1.18644 | − | 0.684991i | −0.228944 | − | 0.973439i | \(-0.573527\pi\) |
−0.957496 | + | 0.288448i | \(0.906861\pi\) | |||||||
\(314\) | −6.89470 | − | 7.80541i | −0.389090 | − | 0.440485i | ||||
\(315\) | 4.25270 | − | 1.36091i | 0.239612 | − | 0.0766785i | ||||
\(316\) | 28.2217 | + | 3.51030i | 1.58759 | + | 0.197470i | ||||
\(317\) | −7.07657 | − | 26.4101i | −0.397460 | − | 1.48334i | −0.817550 | − | 0.575858i | \(-0.804668\pi\) |
0.420090 | − | 0.907482i | \(-0.361998\pi\) | |||||||
\(318\) | 15.4498 | − | 7.68779i | 0.866380 | − | 0.431110i | ||||
\(319\) | −0.232687 | − | 0.403026i | −0.0130280 | − | 0.0225651i | ||||
\(320\) | 13.4205 | + | 1.47468i | 0.750231 | + | 0.0824372i | ||||
\(321\) | −4.60410 | −0.256976 | ||||||||
\(322\) | −19.9807 | − | 11.9109i | −1.11348 | − | 0.663766i | ||||
\(323\) | −0.240996 | + | 0.240996i | −0.0134094 | + | 0.0134094i | ||||
\(324\) | −1.20614 | + | 1.59537i | −0.0670080 | + | 0.0886319i | ||||
\(325\) | 3.05619 | − | 11.4059i | 0.169527 | − | 0.632684i | ||||
\(326\) | 8.16002 | − | 24.3241i | 0.451941 | − | 1.34719i | ||||
\(327\) | 6.47809 | + | 3.74013i | 0.358239 | + | 0.206829i | ||||
\(328\) | 21.7451 | + | 4.08336i | 1.20067 | + | 0.225466i | ||||
\(329\) | 0.451757 | + | 9.42146i | 0.0249062 | + | 0.519422i | ||||
\(330\) | −0.221280 | + | 0.195462i | −0.0121811 | + | 0.0107598i | ||||
\(331\) | −23.4786 | + | 6.29108i | −1.29050 | + | 0.345789i | −0.837851 | − | 0.545899i | \(-0.816188\pi\) |
−0.452651 | + | 0.891688i | \(0.649521\pi\) | |||||||
\(332\) | 10.1117 | + | 4.10393i | 0.554953 | + | 0.225233i | ||||
\(333\) | 8.88833 | + | 2.38162i | 0.487077 | + | 0.130512i | ||||
\(334\) | 5.83694 | − | 8.80359i | 0.319383 | − | 0.481711i | ||||
\(335\) | 5.92611 | 0.323778 | ||||||||
\(336\) | 4.71140 | − | 9.47643i | 0.257028 | − | 0.516982i | ||||
\(337\) | −10.5085 | −0.572436 | −0.286218 | − | 0.958165i | \(-0.592398\pi\) | ||||
−0.286218 | + | 0.958165i | \(0.592398\pi\) | |||||||
\(338\) | −13.3745 | + | 20.1721i | −0.727475 | + | 1.09722i | ||||
\(339\) | −7.61055 | − | 2.03924i | −0.413348 | − | 0.110756i | ||||
\(340\) | 0.130918 | − | 0.322570i | 0.00710001 | − | 0.0174938i | ||||
\(341\) | −0.519618 | + | 0.139231i | −0.0281389 | + | 0.00753979i | ||||
\(342\) | 3.50252 | − | 3.09385i | 0.189394 | − | 0.167296i | ||||
\(343\) | 2.65293 | + | 18.3293i | 0.143245 | + | 0.989687i | ||||
\(344\) | −2.62067 | + | 1.79204i | −0.141297 | + | 0.0966204i | ||||
\(345\) | 9.08638 | + | 5.24602i | 0.489194 | + | 0.282436i | ||||
\(346\) | 8.18019 | − | 24.3842i | 0.439770 | − | 1.31090i | ||||
\(347\) | 1.42988 | − | 5.33640i | 0.0767602 | − | 0.286473i | −0.916866 | − | 0.399194i | \(-0.869290\pi\) |
0.993627 | + | 0.112721i | \(0.0359566\pi\) | |||||||
\(348\) | −6.00182 | − | 4.53753i | −0.321731 | − | 0.243237i | ||||
\(349\) | −15.6808 | + | 15.6808i | −0.839374 | + | 0.839374i | −0.988776 | − | 0.149403i | \(-0.952265\pi\) |
0.149403 | + | 0.988776i | \(0.452265\pi\) | |||||||
\(350\) | −7.02810 | + | 3.92789i | −0.375668 | + | 0.209955i | ||||
\(351\) | −5.48764 | −0.292908 | ||||||||
\(352\) | −0.0332753 | + | 0.698982i | −0.00177358 | + | 0.0372558i | ||||
\(353\) | 5.65204 | + | 9.78962i | 0.300828 | + | 0.521049i | 0.976324 | − | 0.216315i | \(-0.0694038\pi\) |
−0.675496 | + | 0.737364i | \(0.736070\pi\) | |||||||
\(354\) | −8.62696 | + | 4.29277i | −0.458518 | + | 0.228158i | ||||
\(355\) | 5.18697 | + | 19.3580i | 0.275296 | + | 1.02742i | ||||
\(356\) | −0.851277 | + | 6.84399i | −0.0451176 | + | 0.362731i | ||||
\(357\) | −0.201973 | − | 0.183490i | −0.0106896 | − | 0.00971134i | ||||
\(358\) | 7.64859 | + | 8.65888i | 0.404240 | + | 0.457636i | ||||
\(359\) | 25.7294 | + | 14.8549i | 1.35795 | + | 0.784011i | 0.989347 | − | 0.145577i | \(-0.0465039\pi\) |
0.368600 | + | 0.929588i | \(0.379837\pi\) | |||||||
\(360\) | −2.06519 | + | 4.30357i | −0.108845 | + | 0.226818i | ||||
\(361\) | 6.99768 | − | 4.04011i | 0.368299 | − | 0.212637i | ||||
\(362\) | −2.91852 | − | 14.4030i | −0.153394 | − | 0.757007i | ||||
\(363\) | 7.76735 | + | 7.76735i | 0.407680 | + | 0.407680i | ||||
\(364\) | 28.5372 | − | 5.36895i | 1.49576 | − | 0.281410i | ||||
\(365\) | −11.5449 | + | 11.5449i | −0.604287 | + | 0.604287i | ||||
\(366\) | 4.95686 | − | 7.47620i | 0.259099 | − | 0.390787i | ||||
\(367\) | 10.0872 | + | 17.4715i | 0.526546 | + | 0.912004i | 0.999522 | + | 0.0309288i | \(0.00984650\pi\) |
−0.472976 | + | 0.881075i | \(0.656820\pi\) | |||||||
\(368\) | 23.9257 | − | 6.77913i | 1.24722 | − | 0.353387i | ||||
\(369\) | −3.91121 | + | 6.77442i | −0.203609 | + | 0.352662i | ||||
\(370\) | 21.9203 | + | 1.35802i | 1.13958 | + | 0.0706003i | ||||
\(371\) | −9.83984 | − | 30.7485i | −0.510859 | − | 1.59638i | ||||
\(372\) | −6.86204 | + | 5.34384i | −0.355780 | + | 0.277065i | ||||
\(373\) | 20.7768 | − | 5.56713i | 1.07578 | − | 0.288255i | 0.322915 | − | 0.946428i | \(-0.395337\pi\) |
0.752867 | + | 0.658173i | \(0.228670\pi\) | |||||||
\(374\) | 0.0171064 | + | 0.00573869i | 0.000884549 | + | 0.000296740i | ||||
\(375\) | 10.4528 | − | 6.03491i | 0.539779 | − | 0.311641i | ||||
\(376\) | −7.65209 | − | 6.56682i | −0.394626 | − | 0.338658i | ||||
\(377\) | − | 20.6446i | − | 1.06325i | ||||||
\(378\) | 2.60856 | + | 2.68243i | 0.134170 | + | 0.137969i | ||||
\(379\) | 5.58955 | + | 5.58955i | 0.287116 | + | 0.287116i | 0.835939 | − | 0.548823i | \(-0.184924\pi\) |
−0.548823 | + | 0.835939i | \(0.684924\pi\) | |||||||
\(380\) | 6.72655 | − | 8.89725i | 0.345065 | − | 0.456419i | ||||
\(381\) | −3.32472 | − | 0.890856i | −0.170331 | − | 0.0456400i | ||||
\(382\) | 29.0579 | − | 14.4592i | 1.48673 | − | 0.739795i | ||||
\(383\) | 2.27561 | − | 3.94147i | 0.116278 | − | 0.201400i | −0.802012 | − | 0.597308i | \(-0.796237\pi\) |
0.918290 | + | 0.395908i | \(0.129570\pi\) | |||||||
\(384\) | 3.90369 | + | 10.6189i | 0.199209 | + | 0.541894i | ||||
\(385\) | 0.298771 | + | 0.464576i | 0.0152268 | + | 0.0236770i | ||||
\(386\) | −0.740251 | + | 11.9486i | −0.0376778 | + | 0.608169i | ||||
\(387\) | −0.290514 | − | 1.08421i | −0.0147677 | − | 0.0551137i | ||||
\(388\) | −13.0732 | − | 30.9338i | −0.663689 | − | 1.57042i | ||||
\(389\) | 1.00999 | − | 3.76935i | 0.0512088 | − | 0.191114i | −0.935583 | − | 0.353106i | \(-0.885125\pi\) |
0.986792 | + | 0.161993i | \(0.0517921\pi\) | |||||||
\(390\) | −12.8366 | + | 2.60111i | −0.650005 | + | 0.131712i | ||||
\(391\) | − | 0.641198i | − | 0.0324268i | ||||||
\(392\) | −16.1896 | − | 11.3972i | −0.817699 | − | 0.575646i | ||||
\(393\) | 12.9530i | 0.653395i | ||||||||
\(394\) | 6.91358 | + | 34.1188i | 0.348301 | + | 1.71888i | ||||
\(395\) | −6.21111 | + | 23.1802i | −0.312515 | + | 1.16632i | ||||
\(396\) | −0.229246 | − | 0.0930414i | −0.0115200 | − | 0.00467551i | ||||
\(397\) | −1.72860 | − | 6.45122i | −0.0867559 | − | 0.323777i | 0.908885 | − | 0.417047i | \(-0.136935\pi\) |
−0.995641 | + | 0.0932694i | \(0.970268\pi\) | |||||||
\(398\) | −3.47128 | − | 0.215055i | −0.173999 | − | 0.0107798i | ||||
\(399\) | −4.72908 | − | 7.35352i | −0.236750 | − | 0.368137i | ||||
\(400\) | 2.10855 | − | 8.34488i | 0.105427 | − | 0.417244i | ||||
\(401\) | −3.55274 | + | 6.15353i | −0.177416 | + | 0.307293i | −0.940995 | − | 0.338422i | \(-0.890107\pi\) |
0.763579 | + | 0.645714i | \(0.223440\pi\) | |||||||
\(402\) | 2.21228 | + | 4.44590i | 0.110338 | + | 0.221741i | ||||
\(403\) | −23.0509 | − | 6.17646i | −1.14824 | − | 0.307671i | ||||
\(404\) | −31.0758 | + | 4.31754i | −1.54608 | + | 0.214805i | ||||
\(405\) | −1.19336 | − | 1.19336i | −0.0592985 | − | 0.0592985i | ||||
\(406\) | −10.0913 | + | 9.81344i | −0.500825 | + | 0.487033i | ||||
\(407\) | 1.13831i | 0.0564237i | ||||||||
\(408\) | 0.290872 | − | 0.0222010i | 0.0144003 | − | 0.00109911i | ||||
\(409\) | −5.25108 | + | 3.03171i | −0.259649 | + | 0.149908i | −0.624174 | − | 0.781285i | \(-0.714565\pi\) |
0.364525 | + | 0.931193i | \(0.381231\pi\) | |||||||
\(410\) | −5.93799 | + | 17.7005i | −0.293256 | + | 0.874163i | ||||
\(411\) | 2.24468 | − | 0.601461i | 0.110722 | − | 0.0296679i | ||||
\(412\) | 2.84057 | − | 22.8373i | 0.139945 | − | 1.12511i | ||||
\(413\) | 5.49445 | + | 17.1696i | 0.270364 | + | 0.844860i | ||||
\(414\) | −0.543649 | + | 8.77520i | −0.0267189 | + | 0.431278i | ||||
\(415\) | −4.60429 | + | 7.97486i | −0.226016 | + | 0.391471i | ||||
\(416\) | −16.7822 | + | 26.1153i | −0.822815 | + | 1.28041i | ||||
\(417\) | 6.90394 | + | 11.9580i | 0.338087 | + | 0.585585i | ||||
\(418\) | 0.481819 | + | 0.319455i | 0.0235666 | + | 0.0156251i | ||||
\(419\) | −6.93131 | + | 6.93131i | −0.338616 | + | 0.338616i | −0.855846 | − | 0.517230i | \(-0.826963\pi\) |
0.517230 | + | 0.855846i | \(0.326963\pi\) | |||||||
\(420\) | 7.37334 | + | 5.03824i | 0.359782 | + | 0.245841i | ||||
\(421\) | 9.84260 | + | 9.84260i | 0.479699 | + | 0.479699i | 0.905035 | − | 0.425336i | \(-0.139844\pi\) |
−0.425336 | + | 0.905035i | \(0.639844\pi\) | |||||||
\(422\) | −0.307306 | + | 0.0622702i | −0.0149594 | + | 0.00303127i | ||||
\(423\) | 3.08744 | − | 1.78253i | 0.150116 | − | 0.0866698i | ||||
\(424\) | 31.1163 | + | 14.9320i | 1.51114 | + | 0.725163i | ||||
\(425\) | −0.192198 | − | 0.110965i | −0.00932295 | − | 0.00538261i | ||||
\(426\) | −12.5865 | + | 11.1179i | −0.609817 | + | 0.538665i | ||||
\(427\) | −12.4211 | − | 11.2845i | −0.601101 | − | 0.546093i | ||||
\(428\) | −5.65771 | − | 7.26508i | −0.273476 | − | 0.351171i | ||||
\(429\) | −0.175697 | − | 0.655710i | −0.00848272 | − | 0.0316580i | ||||
\(430\) | −1.19348 | − | 2.39847i | −0.0575545 | − | 0.115664i | ||||
\(431\) | 2.75869 | + | 4.77819i | 0.132881 | + | 0.230157i | 0.924786 | − | 0.380487i | \(-0.124244\pi\) |
−0.791905 | + | 0.610645i | \(0.790910\pi\) | |||||||
\(432\) | −3.99959 | + | 0.0572152i | −0.192430 | + | 0.00275277i | ||||
\(433\) | −27.4639 | −1.31983 | −0.659916 | − | 0.751340i | \(-0.729408\pi\) | ||||
−0.659916 | + | 0.751340i | \(0.729408\pi\) | |||||||
\(434\) | 7.93813 | + | 14.2035i | 0.381043 | + | 0.681792i | ||||
\(435\) | 4.48944 | − | 4.48944i | 0.215252 | − | 0.215252i | ||||
\(436\) | 2.05877 | + | 14.8182i | 0.0985972 | + | 0.709661i | ||||
\(437\) | 5.31713 | − | 19.8438i | 0.254353 | − | 0.949257i | ||||
\(438\) | −12.9711 | − | 4.35141i | −0.619781 | − | 0.207918i | ||||
\(439\) | −23.8587 | − | 13.7748i | −1.13871 | − | 0.657436i | −0.192601 | − | 0.981277i | \(-0.561692\pi\) |
−0.946111 | + | 0.323841i | \(0.895026\pi\) | |||||||
\(440\) | −0.580348 | − | 0.108979i | −0.0276670 | − | 0.00519539i | ||||
\(441\) | 5.69949 | − | 4.06397i | 0.271404 | − | 0.193522i | ||||
\(442\) | 0.529903 | + | 0.599897i | 0.0252049 | + | 0.0285342i | ||||
\(443\) | −6.35573 | + | 1.70301i | −0.301970 | + | 0.0809126i | −0.406623 | − | 0.913596i | \(-0.633294\pi\) |
0.104653 | + | 0.994509i | \(0.466627\pi\) | |||||||
\(444\) | 7.16424 | + | 16.9520i | 0.340000 | + | 0.804508i | ||||
\(445\) | −5.62138 | − | 1.50625i | −0.266479 | − | 0.0714029i | ||||
\(446\) | −23.7610 | − | 15.7540i | −1.12512 | − | 0.745973i | ||||
\(447\) | 3.40582 | 0.161090 | ||||||||
\(448\) | 20.7430 | − | 4.21062i | 0.980013 | − | 0.198933i | ||||
\(449\) | 38.2551 | 1.80537 | 0.902684 | − | 0.430304i | \(-0.141594\pi\) | ||||
0.902684 | + | 0.430304i | \(0.141594\pi\) | |||||||
\(450\) | 2.53626 | + | 1.68159i | 0.119561 | + | 0.0792708i | ||||
\(451\) | −0.934689 | − | 0.250449i | −0.0440128 | − | 0.0117932i | ||||
\(452\) | −6.13431 | − | 14.5150i | −0.288534 | − | 0.682729i | ||||
\(453\) | 2.87266 | − | 0.769727i | 0.134969 | − | 0.0361650i | ||||
\(454\) | −19.5528 | − | 22.1355i | −0.917657 | − | 1.03887i | ||||
\(455\) | 1.17357 | + | 24.4750i | 0.0550179 | + | 1.14740i | ||||
\(456\) | 9.18601 | + | 1.72498i | 0.430174 | + | 0.0807794i | ||||
\(457\) | −27.5006 | − | 15.8775i | −1.28643 | − | 0.742718i | −0.308411 | − | 0.951253i | \(-0.599797\pi\) |
−0.978015 | + | 0.208535i | \(0.933131\pi\) | |||||||
\(458\) | −2.11770 | − | 0.710427i | −0.0989536 | − | 0.0331961i | ||||
\(459\) | −0.0266940 | + | 0.0996235i | −0.00124597 | + | 0.00465003i | ||||
\(460\) | 2.88770 | + | 20.7844i | 0.134640 | + | 0.969080i | ||||
\(461\) | 23.4416 | − | 23.4416i | 1.09178 | − | 1.09178i | 0.0964455 | − | 0.995338i | \(-0.469253\pi\) |
0.995338 | − | 0.0964455i | \(-0.0307474\pi\) | |||||||
\(462\) | −0.237002 | + | 0.397576i | −0.0110263 | + | 0.0184969i | ||||
\(463\) | 7.61935 | 0.354101 | 0.177051 | − | 0.984202i | \(-0.443344\pi\) | ||||
0.177051 | + | 0.984202i | \(0.443344\pi\) | |||||||
\(464\) | −0.215244 | − | 15.0465i | −0.00999247 | − | 0.698517i | ||||
\(465\) | −3.66956 | − | 6.35587i | −0.170172 | − | 0.294746i | ||||
\(466\) | −0.151376 | − | 0.304213i | −0.00701236 | − | 0.0140924i | ||||
\(467\) | −8.71034 | − | 32.5074i | −0.403066 | − | 1.50426i | −0.807594 | − | 0.589738i | \(-0.799231\pi\) |
0.404528 | − | 0.914526i | \(-0.367436\pi\) | |||||||
\(468\) | −6.74343 | − | 8.65926i | −0.311715 | − | 0.400275i | ||||
\(469\) | 8.84833 | − | 2.83156i | 0.408578 | − | 0.130749i | ||||
\(470\) | 6.37716 | − | 5.63309i | 0.294157 | − | 0.259835i | ||||
\(471\) | 6.37754 | + | 3.68207i | 0.293861 | + | 0.169661i | ||||
\(472\) | −17.3750 | − | 8.33786i | −0.799748 | − | 0.383781i | ||||
\(473\) | 0.120250 | − | 0.0694262i | 0.00552909 | − | 0.00319222i | ||||
\(474\) | −19.7090 | + | 3.99368i | −0.905262 | + | 0.183436i | ||||
\(475\) | −5.02795 | − | 5.02795i | −0.230698 | − | 0.230698i | ||||
\(476\) | 0.0413473 | − | 0.544186i | 0.00189515 | − | 0.0249427i | ||||
\(477\) | −8.62840 | + | 8.62840i | −0.395067 | + | 0.395067i | ||||
\(478\) | 22.9521 | + | 15.2177i | 1.04981 | + | 0.696040i | ||||
\(479\) | 6.64397 | + | 11.5077i | 0.303571 | + | 0.525800i | 0.976942 | − | 0.213504i | \(-0.0684877\pi\) |
−0.673371 | + | 0.739305i | \(0.735154\pi\) | |||||||
\(480\) | −9.32864 | + | 2.02962i | −0.425792 | + | 0.0926390i | ||||
\(481\) | −25.2483 | + | 43.7313i | −1.15122 | + | 1.99398i | ||||
\(482\) | 1.37999 | − | 22.2748i | 0.0628566 | − | 1.01459i | ||||
\(483\) | 16.0736 | + | 3.49132i | 0.731373 | + | 0.158860i | ||||
\(484\) | −2.71173 | + | 21.8014i | −0.123260 | + | 0.990973i | ||||
\(485\) | 27.3727 | − | 7.33448i | 1.24293 | − | 0.333042i | ||||
\(486\) | 0.449792 | − | 1.34078i | 0.0204030 | − | 0.0608189i | ||||
\(487\) | 29.0890 | − | 16.7946i | 1.31815 | − | 0.761034i | 0.334719 | − | 0.942318i | \(-0.391358\pi\) |
0.983431 | + | 0.181283i | \(0.0580251\pi\) | |||||||
\(488\) | 17.8883 | − | 1.36534i | 0.809766 | − | 0.0618060i | ||||
\(489\) | 18.1417i | 0.820398i | ||||||||
\(490\) | 11.4058 | − | 12.2079i | 0.515262 | − | 0.551496i | ||||
\(491\) | −11.3672 | − | 11.3672i | −0.512994 | − | 0.512994i | 0.402448 | − | 0.915443i | \(-0.368159\pi\) |
−0.915443 | + | 0.402448i | \(0.868159\pi\) | |||||||
\(492\) | −15.4960 | + | 2.15295i | −0.698614 | + | 0.0970623i | ||||
\(493\) | −0.374785 | − | 0.100423i | −0.0168795 | − | 0.00452284i | ||||
\(494\) | 11.4248 | + | 22.9598i | 0.514026 | + | 1.03301i | ||||
\(495\) | 0.104385 | − | 0.180800i | 0.00469176 | − | 0.00812637i | ||||
\(496\) | −16.8647 | − | 4.26130i | −0.757247 | − | 0.191338i | ||||
\(497\) | 16.9942 | + | 26.4253i | 0.762294 | + | 1.18534i | ||||
\(498\) | −7.70175 | − | 0.477145i | −0.345124 | − | 0.0213814i | ||||
\(499\) | −8.46132 | − | 31.5781i | −0.378781 | − | 1.41363i | −0.847741 | − | 0.530410i | \(-0.822038\pi\) |
0.468960 | − | 0.883219i | \(-0.344629\pi\) | |||||||
\(500\) | 22.3676 | + | 9.07810i | 1.00031 | + | 0.405985i | ||||
\(501\) | −1.93313 | + | 7.21454i | −0.0863658 | + | 0.322322i | ||||
\(502\) | −0.769564 | − | 3.79783i | −0.0343473 | − | 0.169505i | ||||
\(503\) | 0.244881i | 0.0109187i | 0.999985 | + | 0.00545936i | \(0.00173778\pi\) | ||||
−0.999985 | + | 0.00545936i | \(0.998262\pi\) | |||||||
\(504\) | −1.02726 | + | 7.41247i | −0.0457578 | + | 0.330178i | ||||
\(505\) | − | 26.4747i | − | 1.17811i | ||||||
\(506\) | −1.06594 | + | 0.215994i | −0.0473869 | + | 0.00960212i | ||||
\(507\) | 4.42947 | − | 16.5310i | 0.196720 | − | 0.734168i | ||||
\(508\) | −2.67982 | − | 6.34099i | −0.118898 | − | 0.281336i | ||||
\(509\) | −5.50661 | − | 20.5510i | −0.244076 | − | 0.910905i | −0.973845 | − | 0.227212i | \(-0.927039\pi\) |
0.729769 | − | 0.683694i | \(-0.239628\pi\) | |||||||
\(510\) | −0.0152212 | + | 0.245690i | −0.000674006 | + | 0.0108793i | ||||
\(511\) | −11.7215 | + | 22.7540i | −0.518529 | + | 1.00658i | ||||
\(512\) | −11.9592 | + | 19.2088i | −0.528527 | + | 0.848917i | ||||
\(513\) | −1.65225 | + | 2.86179i | −0.0729488 | + | 0.126351i | ||||
\(514\) | 4.89045 | − | 2.43348i | 0.215708 | − | 0.107336i | ||||
\(515\) | 18.7576 | + | 5.02609i | 0.826560 | + | 0.221476i | ||||
\(516\) | 1.35385 | − | 1.79074i | 0.0595999 | − | 0.0788331i | ||||
\(517\) | 0.311842 | + | 0.311842i | 0.0137148 | + | 0.0137148i | ||||
\(518\) | 33.3782 | − | 8.44607i | 1.46656 | − | 0.371099i | ||||
\(519\) | 18.1866i | 0.798303i | ||||||||
\(520\) | −19.8785 | − | 17.0592i | −0.871731 | − | 0.748096i | ||||
\(521\) | 4.66396 | − | 2.69274i | 0.204332 | − | 0.117971i | −0.394343 | − | 0.918964i | \(-0.629028\pi\) |
0.598675 | + | 0.800992i | \(0.295694\pi\) | |||||||
\(522\) | 5.04403 | + | 1.69213i | 0.220771 | + | 0.0740623i | ||||
\(523\) | −27.0604 | + | 7.25082i | −1.18327 | + | 0.317056i | −0.796223 | − | 0.605004i | \(-0.793172\pi\) |
−0.387047 | + | 0.922060i | \(0.626505\pi\) | |||||||
\(524\) | −20.4394 | + | 15.9172i | −0.892898 | + | 0.695347i | ||||
\(525\) | 3.82820 | − | 4.21381i | 0.167076 | − | 0.183906i | ||||
\(526\) | −40.3935 | − | 2.50249i | −1.76124 | − | 0.109114i | ||||
\(527\) | −0.224257 | + | 0.388424i | −0.00976879 | + | 0.0169200i | ||||
\(528\) | −0.134891 | − | 0.476073i | −0.00587037 | − | 0.0207184i | ||||
\(529\) | 7.82492 | + | 13.5532i | 0.340214 | + | 0.589268i | ||||
\(530\) | −16.0936 | + | 24.2732i | −0.699060 | + | 1.05436i | ||||
\(531\) | 4.81800 | − | 4.81800i | 0.209083 | − | 0.209083i | ||||
\(532\) | 5.79227 | − | 16.4986i | 0.251127 | − | 0.715305i | ||||
\(533\) | −30.3537 | − | 30.3537i | −1.31476 | − | 1.31476i | ||||
\(534\) | −0.968500 | − | 4.77959i | −0.0419111 | − | 0.206833i | ||||
\(535\) | 6.72918 | − | 3.88509i | 0.290928 | − | 0.167967i | ||||
\(536\) | −4.29691 | + | 8.95418i | −0.185598 | + | 0.386762i | ||||
\(537\) | −7.07488 | − | 4.08468i | −0.305304 | − | 0.176267i | ||||
\(538\) | 11.9807 | + | 13.5632i | 0.516523 | + | 0.584750i | ||||
\(539\) | 0.668077 | + | 0.550908i | 0.0287761 | + | 0.0237293i | ||||
\(540\) | 0.416624 | − | 3.34952i | 0.0179286 | − | 0.144140i | ||||
\(541\) | −5.90886 | − | 22.0522i | −0.254042 | − | 0.948096i | −0.968621 | − | 0.248542i | \(-0.920049\pi\) |
0.714580 | − | 0.699554i | \(-0.246618\pi\) | |||||||
\(542\) | −26.6329 | + | 13.2525i | −1.14398 | + | 0.569244i | ||||
\(543\) | 5.19573 | + | 8.99927i | 0.222970 | + | 0.386196i | ||||
\(544\) | 0.392467 | + | 0.431702i | 0.0168269 | + | 0.0185091i | ||||
\(545\) | −12.6242 | −0.540760 | ||||||||
\(546\) | −17.9236 | + | 10.0172i | −0.767058 | + | 0.428696i | ||||
\(547\) | 12.8978 | − | 12.8978i | 0.551469 | − | 0.551469i | −0.375396 | − | 0.926865i | \(-0.622493\pi\) |
0.926865 | + | 0.375396i | \(0.122493\pi\) | |||||||
\(548\) | 3.70744 | + | 2.80292i | 0.158374 | + | 0.119735i | ||||
\(549\) | −1.64166 | + | 6.12674i | −0.0700641 | + | 0.261483i | ||||
\(550\) | −0.119727 | + | 0.356893i | −0.00510519 | + | 0.0152180i | ||||
\(551\) | −10.7661 | − | 6.21581i | −0.458651 | − | 0.264802i | ||||
\(552\) | −14.5150 | + | 9.92546i | −0.617798 | + | 0.422456i | ||||
\(553\) | 1.80187 | + | 37.5783i | 0.0766234 | + | 1.59799i | ||||
\(554\) | 34.8202 | − | 30.7574i | 1.47937 | − | 1.30676i | ||||
\(555\) | −15.0005 | + | 4.01938i | −0.636737 | + | 0.170613i | ||||
\(556\) | −10.3853 | + | 25.5886i | −0.440437 | + | 1.08520i | ||||
\(557\) | 8.08790 | + | 2.16715i | 0.342695 | + | 0.0918249i | 0.426062 | − | 0.904694i | \(-0.359901\pi\) |
−0.0833667 | + | 0.996519i | \(0.526567\pi\) | |||||||
\(558\) | 3.39843 | − | 5.12570i | 0.143867 | − | 0.216988i | ||||
\(559\) | 6.15966 | 0.260526 | ||||||||
\(560\) | 1.11052 | + | 17.8260i | 0.0469281 | + | 0.753286i | ||||
\(561\) | −0.0127585 | −0.000538665 | ||||||||
\(562\) | 18.1244 | − | 27.3362i | 0.764532 | − | 1.15311i | ||||
\(563\) | 0.464777 | + | 0.124537i | 0.0195880 | + | 0.00524859i | 0.268600 | − | 0.963252i | \(-0.413439\pi\) |
−0.249012 | + | 0.968500i | \(0.580106\pi\) | |||||||
\(564\) | 6.60673 | + | 2.68140i | 0.278194 | + | 0.112907i | ||||
\(565\) | 12.8441 | − | 3.44155i | 0.540353 | − | 0.144787i | ||||
\(566\) | 14.1962 | − | 12.5398i | 0.596709 | − | 0.527087i | ||||
\(567\) | −2.35202 | − | 1.21162i | −0.0987754 | − | 0.0508831i | ||||
\(568\) | −33.0104 | − | 6.19879i | −1.38509 | − | 0.260096i | ||||
\(569\) | 13.2561 | + | 7.65344i | 0.555727 | + | 0.320849i | 0.751428 | − | 0.659815i | \(-0.229365\pi\) |
−0.195702 | + | 0.980663i | \(0.562699\pi\) | |||||||
\(570\) | −2.50845 | + | 7.47739i | −0.105067 | + | 0.313194i | ||||
\(571\) | 3.88358 | − | 14.4937i | 0.162523 | − | 0.606544i | −0.835820 | − | 0.549003i | \(-0.815008\pi\) |
0.998343 | − | 0.0575404i | \(-0.0183258\pi\) | |||||||
\(572\) | 0.818779 | − | 1.08300i | 0.0342349 | − | 0.0452827i | ||||
\(573\) | −16.2283 | + | 16.2283i | −0.677946 | + | 0.677946i | ||||
\(574\) | −0.408598 | + | 29.2660i | −0.0170545 | + | 1.22154i | ||||
\(575\) | 13.3774 | 0.557878 | ||||||||
\(576\) | −5.00514 | − | 6.24088i | −0.208548 | − | 0.260037i | ||||
\(577\) | 16.5411 | + | 28.6501i | 0.688616 | + | 1.19272i | 0.972286 | + | 0.233796i | \(0.0751147\pi\) |
−0.283670 | + | 0.958922i | \(0.591552\pi\) | |||||||
\(578\) | −21.5107 | + | 10.7037i | −0.894725 | + | 0.445214i | ||||
\(579\) | −2.19094 | − | 8.17670i | −0.0910524 | − | 0.339812i | ||||
\(580\) | 12.6009 | + | 1.56734i | 0.523226 | + | 0.0650804i | ||||
\(581\) | −3.06423 | + | 14.1073i | −0.127126 | + | 0.585270i | ||||
\(582\) | 15.7210 | + | 17.7976i | 0.651656 | + | 0.737732i | ||||
\(583\) | −1.30725 | − | 0.754741i | −0.0541407 | − | 0.0312582i | ||||
\(584\) | −9.07300 | − | 25.8150i | −0.375443 | − | 1.06823i | ||||
\(585\) | 8.02052 | − | 4.63065i | 0.331608 | − | 0.191454i | ||||
\(586\) | 0.173216 | + | 0.854830i | 0.00715550 | + | 0.0353127i | ||||
\(587\) | −13.2840 | − | 13.2840i | −0.548290 | − | 0.548290i | 0.377656 | − | 0.925946i | \(-0.376730\pi\) |
−0.925946 | + | 0.377656i | \(0.876730\pi\) | |||||||
\(588\) | 13.4165 | + | 3.99958i | 0.553288 | + | 0.164940i | ||||
\(589\) | −10.1613 | + | 10.1613i | −0.418690 | + | 0.418690i | ||||
\(590\) | 8.98645 | − | 13.5539i | 0.369966 | − | 0.558003i | ||||
\(591\) | −12.3080 | − | 21.3180i | −0.506283 | − | 0.876907i | ||||
\(592\) | −17.9459 | + | 32.1362i | −0.737573 | + | 1.32079i | ||||
\(593\) | −12.6212 | + | 21.8606i | −0.518291 | + | 0.897705i | 0.481484 | + | 0.876455i | \(0.340098\pi\) |
−0.999774 | + | 0.0212504i | \(0.993235\pi\) | |||||||
\(594\) | 0.174609 | + | 0.0108175i | 0.00716427 | + | 0.000443847i | ||||
\(595\) | 0.450031 | + | 0.0977507i | 0.0184495 | + | 0.00400739i | ||||
\(596\) | 4.18520 | + | 5.37423i | 0.171433 | + | 0.220137i | ||||
\(597\) | 2.37547 | − | 0.636506i | 0.0972216 | − | 0.0260504i | ||||
\(598\) | −45.7421 | − | 15.3452i | −1.87053 | − | 0.627510i | ||||
\(599\) | 27.0970 | − | 15.6444i | 1.10715 | − | 0.639215i | 0.169062 | − | 0.985605i | \(-0.445926\pi\) |
0.938090 | + | 0.346391i | \(0.112593\pi\) | |||||||
\(600\) | 0.463184 | + | 6.06852i | 0.0189094 | + | 0.247746i | ||||
\(601\) | 24.3374i | 0.992743i | 0.868110 | + | 0.496371i | \(0.165335\pi\) | ||||
−0.868110 | + | 0.496371i | \(0.834665\pi\) | |||||||
\(602\) | −2.92800 | − | 3.01092i | −0.119337 | − | 0.122716i | ||||
\(603\) | −2.48295 | − | 2.48295i | −0.101114 | − | 0.101114i | ||||
\(604\) | 4.74464 | + | 3.58707i | 0.193057 | + | 0.145956i | ||||
\(605\) | −17.9068 | − | 4.79811i | −0.728015 | − | 0.195071i | ||||
\(606\) | 19.8619 | − | 9.88326i | 0.806834 | − | 0.401480i | ||||
\(607\) | 3.40285 | − | 5.89391i | 0.138117 | − | 0.239227i | −0.788667 | − | 0.614821i | \(-0.789228\pi\) |
0.926784 | + | 0.375595i | \(0.122562\pi\) | |||||||
\(608\) | 8.56619 | + | 16.6149i | 0.347405 | + | 0.673821i | ||||
\(609\) | 4.55812 | − | 8.84832i | 0.184704 | − | 0.358552i | ||||
\(610\) | −0.936088 | + | 15.1097i | −0.0379011 | + | 0.611773i | ||||
\(611\) | 5.06348 | + | 18.8972i | 0.204847 | + | 0.764498i | ||||
\(612\) | −0.190004 | + | 0.0802993i | −0.00768048 | + | 0.00324591i | ||||
\(613\) | −0.103158 | + | 0.384991i | −0.00416652 | + | 0.0155496i | −0.967978 | − | 0.251036i | \(-0.919229\pi\) |
0.963811 | + | 0.266585i | \(0.0858955\pi\) | |||||||
\(614\) | 35.1903 | − | 7.13071i | 1.42017 | − | 0.287772i | ||||
\(615\) | − | 13.2016i | − | 0.532341i | ||||||
\(616\) | −0.918595 | + | 0.114578i | −0.0370112 | + | 0.00461649i | ||||
\(617\) | − | 3.43305i | − | 0.138210i | −0.997609 | − | 0.0691048i | \(-0.977986\pi\) | ||
0.997609 | − | 0.0691048i | \(-0.0220143\pi\) | |||||||
\(618\) | 3.23172 | + | 15.9487i | 0.129999 | + | 0.641550i | ||||
\(619\) | −0.679678 | + | 2.53659i | −0.0273185 | + | 0.101954i | −0.978239 | − | 0.207481i | \(-0.933473\pi\) |
0.950920 | + | 0.309435i | \(0.100140\pi\) | |||||||
\(620\) | 5.51999 | − | 13.6008i | 0.221688 | − | 0.546220i | ||||
\(621\) | −1.60905 | − | 6.00506i | −0.0645690 | − | 0.240975i | ||||
\(622\) | 45.8497 | + | 2.84052i | 1.83841 | + | 0.113895i | ||||
\(623\) | −9.11305 | + | 0.436969i | −0.365106 | + | 0.0175068i | ||||
\(624\) | 5.37736 | − | 21.2817i | 0.215267 | − | 0.851950i | ||||
\(625\) | −4.80544 | + | 8.32327i | −0.192218 | + | 0.332931i | ||||
\(626\) | 15.2702 | + | 30.6877i | 0.610318 | + | 1.22653i | ||||
\(627\) | −0.394851 | − | 0.105800i | −0.0157688 | − | 0.00422524i | ||||
\(628\) | 2.02682 | + | 14.5882i | 0.0808787 | + | 0.582131i | ||||
\(629\) | 0.671088 | + | 0.671088i | 0.0267580 | + | 0.0267580i | ||||
\(630\) | −6.07609 | − | 1.71935i | −0.242077 | − | 0.0685004i | ||||
\(631\) | 14.8712i | 0.592013i | 0.955186 | + | 0.296006i | \(0.0956550\pi\) | ||||
−0.955186 | + | 0.296006i | \(0.904345\pi\) | |||||||
\(632\) | −30.5210 | − | 26.1923i | −1.21406 | − | 1.04187i | ||||
\(633\) | 0.192010 | − | 0.110857i | 0.00763173 | − | 0.00440618i | ||||
\(634\) | −12.2981 | + | 36.6593i | −0.488420 | + | 1.45592i | ||||
\(635\) | 5.61102 | − | 1.50347i | 0.222666 | − | 0.0596633i | ||||
\(636\) | −24.2182 | − | 3.01233i | −0.960314 | − | 0.119447i | ||||
\(637\) | 13.4467 | + | 35.9831i | 0.532777 | + | 1.42570i | ||||
\(638\) | −0.0406956 | + | 0.656880i | −0.00161115 | + | 0.0260061i | ||||
\(639\) | 5.93747 | − | 10.2840i | 0.234883 | − | 0.406828i | ||||
\(640\) | −14.6661 | − | 12.2261i | −0.579727 | − | 0.483280i | ||||
\(641\) | −3.79332 | − | 6.57022i | −0.149827 | − | 0.259508i | 0.781336 | − | 0.624110i | \(-0.214538\pi\) |
−0.931163 | + | 0.364602i | \(0.881205\pi\) | |||||||
\(642\) | 5.42675 | + | 3.59804i | 0.214177 | + | 0.142003i | ||||
\(643\) | 23.0822 | − | 23.0822i | 0.910275 | − | 0.910275i | −0.0860190 | − | 0.996294i | \(-0.527415\pi\) |
0.996294 | + | 0.0860190i | \(0.0274146\pi\) | |||||||
\(644\) | 14.2427 | + | 29.6537i | 0.561241 | + | 1.16852i | ||||
\(645\) | 1.33950 | + | 1.33950i | 0.0527427 | + | 0.0527427i | ||||
\(646\) | 0.472392 | − | 0.0957219i | 0.0185860 | − | 0.00376613i | ||||
\(647\) | 16.9122 | − | 9.76425i | 0.664886 | − | 0.383872i | −0.129250 | − | 0.991612i | \(-0.541257\pi\) |
0.794136 | + | 0.607740i | \(0.207924\pi\) | |||||||
\(648\) | 2.66842 | − | 0.937849i | 0.104825 | − | 0.0368422i | ||||
\(649\) | 0.729952 | + | 0.421438i | 0.0286531 | + | 0.0165429i | ||||
\(650\) | −12.5158 | + | 11.0555i | −0.490909 | + | 0.433631i | ||||
\(651\) | −8.51596 | − | 7.73665i | −0.333767 | − | 0.303223i | ||||
\(652\) | −28.6269 | + | 22.2933i | −1.12112 | + | 0.873073i | ||||
\(653\) | 2.20061 | + | 8.21280i | 0.0861167 | + | 0.321392i | 0.995523 | − | 0.0945163i | \(-0.0301304\pi\) |
−0.909407 | + | 0.415908i | \(0.863464\pi\) | |||||||
\(654\) | −4.71273 | − | 9.47093i | −0.184282 | − | 0.370343i | ||||
\(655\) | −10.9302 | − | 18.9317i | −0.427078 | − | 0.739722i | ||||
\(656\) | −22.4394 | − | 21.8064i | −0.876110 | − | 0.851397i | ||||
\(657\) | 9.67427 | 0.377429 | ||||||||
\(658\) | 6.83025 | − | 11.4579i | 0.266271 | − | 0.446676i | ||||
\(659\) | 14.6992 | − | 14.6992i | 0.572601 | − | 0.572601i | −0.360254 | − | 0.932854i | \(-0.617310\pi\) |
0.932854 | + | 0.360254i | \(0.117310\pi\) | |||||||
\(660\) | 0.413568 | − | 0.0574593i | 0.0160981 | − | 0.00223660i | ||||
\(661\) | 9.09082 | − | 33.9274i | 0.353592 | − | 1.31962i | −0.528655 | − | 0.848837i | \(-0.677304\pi\) |
0.882247 | − | 0.470787i | \(-0.156030\pi\) | |||||||
\(662\) | 32.5901 | + | 10.9330i | 1.26665 | + | 0.424924i | ||||
\(663\) | −0.490156 | − | 0.282992i | −0.0190361 | − | 0.0109905i | ||||
\(664\) | −8.71130 | − | 12.7394i | −0.338064 | − | 0.494384i | ||||
\(665\) | 13.1170 | + | 6.75707i | 0.508655 | + | 0.262028i | ||||
\(666\) | −8.61528 | − | 9.75326i | −0.333835 | − | 0.377931i | ||||
\(667\) | 22.5911 | − | 6.05328i | 0.874733 | − | 0.234384i | ||||
\(668\) | −13.7597 | + | 5.81511i | −0.532380 | + | 0.224993i | ||||
\(669\) | 19.4722 | + | 5.21755i | 0.752837 | + | 0.201722i | ||||
\(670\) | −6.98497 | − | 4.63116i | −0.269853 | − | 0.178917i | ||||
\(671\) | −0.784636 | −0.0302905 | ||||||||
\(672\) | −12.9589 | + | 7.48777i | −0.499901 | + | 0.288847i | ||||
\(673\) | 9.04651 | 0.348717 | 0.174359 | − | 0.984682i | \(-0.444215\pi\) | ||||
0.174359 | + | 0.984682i | \(0.444215\pi\) | |||||||
\(674\) | 12.3862 | + | 8.21226i | 0.477097 | + | 0.316324i | ||||
\(675\) | −2.07847 | − | 0.556923i | −0.0800002 | − | 0.0214360i | ||||
\(676\) | 31.5284 | − | 13.3245i | 1.21263 | − | 0.512479i | ||||
\(677\) | 41.5056 | − | 11.1214i | 1.59519 | − | 0.427430i | 0.651605 | − | 0.758558i | \(-0.274096\pi\) |
0.943586 | + | 0.331128i | \(0.107429\pi\) | |||||||
\(678\) | 7.37675 | + | 8.35113i | 0.283302 | + | 0.320723i | ||||
\(679\) | 37.3659 | − | 24.0301i | 1.43397 | − | 0.922192i | ||||
\(680\) | −0.406393 | + | 0.277895i | −0.0155845 | + | 0.0106568i | ||||
\(681\) | 18.0862 | + | 10.4420i | 0.693063 | + | 0.400140i | ||||
\(682\) | 0.721269 | + | 0.241965i | 0.0276188 | + | 0.00926531i | ||||
\(683\) | −9.63911 | + | 35.9737i | −0.368830 | + | 1.37649i | 0.493323 | + | 0.869846i | \(0.335782\pi\) |
−0.862153 | + | 0.506647i | \(0.830885\pi\) | |||||||
\(684\) | −6.54614 | + | 0.909492i | −0.250298 | + | 0.0347753i | ||||
\(685\) | −2.77321 | + | 2.77321i | −0.105959 | + | 0.105959i | ||||
\(686\) | 11.1971 | − | 23.6775i | 0.427507 | − | 0.904012i | ||||
\(687\) | 1.57946 | 0.0602600 | ||||||||
\(688\) | 4.48938 | − | 0.0642218i | 0.171156 | − | 0.00244843i | ||||
\(689\) | −33.4812 | − | 57.9911i | −1.27553 | − | 2.20929i | ||||
\(690\) | −6.61022 | − | 13.2842i | −0.251647 | − | 0.505722i | ||||
\(691\) | 6.82928 | + | 25.4872i | 0.259798 | + | 0.969579i | 0.965358 | + | 0.260929i | \(0.0840288\pi\) |
−0.705560 | + | 0.708650i | \(0.749305\pi\) | |||||||
\(692\) | −28.6977 | + | 22.3484i | −1.09092 | + | 0.849559i | ||||
\(693\) | 0.0694701 | − | 0.319831i | 0.00263895 | − | 0.0121494i | ||||
\(694\) | −5.85569 | + | 5.17246i | −0.222279 | + | 0.196344i | ||||
\(695\) | −20.1811 | − | 11.6515i | −0.765511 | − | 0.441968i | ||||
\(696\) | 3.52820 | + | 10.0386i | 0.133736 | + | 0.380513i | ||||
\(697\) | −0.698699 | + | 0.403394i | −0.0264651 | + | 0.0152796i | ||||
\(698\) | 30.7369 | − | 6.22830i | 1.16341 | − | 0.235745i | ||||
\(699\) | 0.169897 | + | 0.169897i | 0.00642610 | + | 0.00642610i | ||||
\(700\) | 11.3535 | + | 0.862637i | 0.429120 | + | 0.0326046i | ||||
\(701\) | −9.66959 | + | 9.66959i | −0.365215 | + | 0.365215i | −0.865729 | − | 0.500513i | \(-0.833145\pi\) |
0.500513 | + | 0.865729i | \(0.333145\pi\) | |||||||
\(702\) | 6.46816 | + | 4.28851i | 0.244125 | + | 0.161859i | ||||
\(703\) | 15.2038 | + | 26.3338i | 0.573424 | + | 0.993199i | ||||
\(704\) | 0.585464 | − | 0.797870i | 0.0220655 | − | 0.0300709i | ||||
\(705\) | −3.00832 | + | 5.21056i | −0.113300 | + | 0.196241i | ||||
\(706\) | 0.988507 | − | 15.9558i | 0.0372029 | − | 0.600504i | ||||
\(707\) | −12.6499 | − | 39.5296i | −0.475748 | − | 1.48666i | ||||
\(708\) | 13.5231 | + | 1.68205i | 0.508231 | + | 0.0632153i | ||||
\(709\) | 24.5546 | − | 6.57939i | 0.922169 | − | 0.247094i | 0.233657 | − | 0.972319i | \(-0.424931\pi\) |
0.688512 | + | 0.725225i | \(0.258264\pi\) | |||||||
\(710\) | 9.01425 | − | 26.8704i | 0.338299 | − | 1.00843i | ||||
\(711\) | 12.3145 | − | 7.10979i | 0.461830 | − | 0.266638i | ||||
\(712\) | 6.35186 | − | 7.40160i | 0.238046 | − | 0.277387i | ||||
\(713\) | − | 27.0353i | − | 1.01248i | ||||||
\(714\) | 0.0946665 | + | 0.374115i | 0.00354280 | + | 0.0140009i | ||||
\(715\) | 0.810101 | + | 0.810101i | 0.0302961 | + | 0.0302961i | ||||
\(716\) | −2.24843 | − | 16.1833i | −0.0840280 | − | 0.604798i | ||||
\(717\) | −18.8092 | − | 5.03992i | −0.702444 | − | 0.188219i | ||||
\(718\) | −18.7178 | − | 37.6163i | −0.698543 | − | 1.40383i | ||||
\(719\) | 3.38444 | − | 5.86201i | 0.126218 | − | 0.218616i | −0.795990 | − | 0.605309i | \(-0.793049\pi\) |
0.922208 | + | 0.386693i | \(0.126383\pi\) | |||||||
\(720\) | 5.79737 | − | 3.45861i | 0.216055 | − | 0.128895i | ||||
\(721\) | 30.4087 | − | 1.45809i | 1.13248 | − | 0.0543022i | ||||
\(722\) | −11.4053 | − | 0.706590i | −0.424461 | − | 0.0262966i | ||||
\(723\) | 4.08438 | + | 15.2431i | 0.151900 | + | 0.566898i | ||||
\(724\) | −7.81575 | + | 19.2573i | −0.290470 | + | 0.715693i | ||||
\(725\) | 2.09515 | − | 7.81922i | 0.0778121 | − | 0.290399i | ||||
\(726\) | −3.08514 | − | 15.2253i | −0.114500 | − | 0.565063i | ||||
\(727\) | − | 28.0178i | − | 1.03912i | −0.854434 | − | 0.519561i | \(-0.826096\pi\) | ||
0.854434 | − | 0.519561i | \(-0.173904\pi\) | |||||||
\(728\) | −37.8319 | − | 15.9731i | −1.40214 | − | 0.592003i | ||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | 22.6298 | − | 4.58554i | 0.837568 | − | 0.169719i | ||||
\(731\) | 0.0299630 | − | 0.111824i | 0.00110822 | − | 0.00413594i | ||||
\(732\) | −11.6851 | + | 4.93832i | −0.431893 | + | 0.182526i | ||||
\(733\) | −8.55823 | − | 31.9397i | −0.316105 | − | 1.17972i | −0.922956 | − | 0.384906i | \(-0.874234\pi\) |
0.606851 | − | 0.794816i | \(-0.292433\pi\) | |||||||
\(734\) | 1.76418 | − | 28.4762i | 0.0651172 | − | 1.05108i | ||||
\(735\) | −4.90084 | + | 10.7492i | −0.180770 | + | 0.396488i | ||||
\(736\) | −33.4985 | − | 10.7072i | −1.23477 | − | 0.394672i | ||||
\(737\) | 0.217188 | − | 0.376180i | 0.00800022 | − | 0.0138568i | ||||
\(738\) | 9.90416 | − | 4.92830i | 0.364577 | − | 0.181413i | ||||
\(739\) | −37.9579 | − | 10.1708i | −1.39630 | − | 0.374138i | −0.519287 | − | 0.854600i | \(-0.673802\pi\) |
−0.877016 | + | 0.480462i | \(0.840469\pi\) | |||||||
\(740\) | −24.7757 | − | 18.7310i | −0.910771 | − | 0.688566i | ||||
\(741\) | −12.8226 | − | 12.8226i | −0.471051 | − | 0.471051i | ||||
\(742\) | −12.4315 | + | 43.9322i | −0.456374 | + | 1.61280i | ||||
\(743\) | 19.5296i | 0.716472i | 0.933631 | + | 0.358236i | \(0.116622\pi\) | ||||
−0.933631 | + | 0.358236i | \(0.883378\pi\) | |||||||
\(744\) | 12.2643 | − | 0.936079i | 0.449630 | − | 0.0343183i | ||||
\(745\) | −4.97781 | + | 2.87394i | −0.182373 | + | 0.105293i | ||||
\(746\) | −28.8398 | − | 9.67491i | −1.05590 | − | 0.354224i | ||||
\(747\) | 5.27048 | − | 1.41222i | 0.192837 | − | 0.0516704i | ||||
\(748\) | −0.0156782 | − | 0.0201324i | −0.000573251 | − | 0.000736114i | ||||
\(749\) | 8.19106 | − | 9.01615i | 0.299295 | − | 0.329443i | ||||
\(750\) | −17.0366 | − | 1.05547i | −0.622090 | − | 0.0385403i | ||||
\(751\) | 6.52731 | − | 11.3056i | 0.238185 | − | 0.412548i | −0.722009 | − | 0.691884i | \(-0.756781\pi\) |
0.960194 | + | 0.279336i | \(0.0901142\pi\) | |||||||
\(752\) | 3.88748 | + | 13.7202i | 0.141762 | + | 0.500323i | ||||
\(753\) | 1.37002 | + | 2.37295i | 0.0499265 | + | 0.0864752i | ||||
\(754\) | −16.1334 | + | 24.3333i | −0.587545 | + | 0.886167i | ||||
\(755\) | −3.54905 | + | 3.54905i | −0.129163 | + | 0.129163i | ||||
\(756\) | −0.978372 | − | 5.20027i | −0.0355831 | − | 0.189132i | ||||
\(757\) | 25.7244 | + | 25.7244i | 0.934969 | + | 0.934969i | 0.998011 | − | 0.0630417i | \(-0.0200801\pi\) |
−0.0630417 | + | 0.998011i | \(0.520080\pi\) | |||||||
\(758\) | −2.22013 | − | 10.9564i | −0.0806387 | − | 0.397955i | ||||
\(759\) | 0.666019 | − | 0.384526i | 0.0241750 | − | 0.0139574i | ||||
\(760\) | −14.8815 | + | 5.23029i | −0.539809 | + | 0.189723i | ||||
\(761\) | 7.45453 | + | 4.30388i | 0.270227 | + | 0.156015i | 0.628991 | − | 0.777413i | \(-0.283468\pi\) |
−0.358764 | + | 0.933428i | \(0.616802\pi\) | |||||||
\(762\) | 3.22258 | + | 3.64825i | 0.116742 | + | 0.132162i | ||||
\(763\) | −18.8493 | + | 6.03196i | −0.682389 | + | 0.218372i | ||||
\(764\) | −45.5495 | − | 5.66559i | −1.64792 | − | 0.204974i | ||||
\(765\) | −0.0450506 | − | 0.168131i | −0.00162881 | − | 0.00607880i | ||||
\(766\) | −5.76241 | + | 2.86737i | −0.208204 | + | 0.103602i | ||||
\(767\) | 18.6955 | + | 32.3815i | 0.675055 | + | 1.16923i | ||||
\(768\) | 3.69733 | − | 15.5669i | 0.133416 | − | 0.561724i | ||||
\(769\) | −26.9922 | −0.973362 | −0.486681 | − | 0.873580i | \(-0.661793\pi\) | ||||
−0.486681 | + | 0.873580i | \(0.661793\pi\) | |||||||
\(770\) | 0.0109049 | − | 0.781071i | 0.000392987 | − | 0.0281478i | ||||
\(771\) | −2.73122 | + | 2.73122i | −0.0983626 | + | 0.0983626i | ||||
\(772\) | 10.2102 | − | 13.5051i | 0.367473 | − | 0.486058i | ||||
\(773\) | 1.03541 | − | 3.86422i | 0.0372413 | − | 0.138986i | −0.944802 | − | 0.327641i | \(-0.893746\pi\) |
0.982043 | + | 0.188655i | \(0.0604129\pi\) | |||||||
\(774\) | −0.504874 | + | 1.50497i | −0.0181473 | + | 0.0540951i | ||||
\(775\) | −8.10378 | − | 4.67872i | −0.291096 | − | 0.168065i | ||||
\(776\) | −8.76522 | + | 46.6774i | −0.314653 | + | 1.67562i | ||||
\(777\) | −20.4769 | + | 13.1688i | −0.734606 | + | 0.472428i | ||||
\(778\) | −4.13615 | + | 3.65356i | −0.148288 | + | 0.130986i | ||||
\(779\) | −24.9685 | + | 6.69028i | −0.894588 | + | 0.239704i | ||||
\(780\) | 17.1629 | + | 6.96572i | 0.614530 | + | 0.249413i | ||||
\(781\) | 1.41892 | + | 0.380198i | 0.0507729 | + | 0.0136045i | ||||
\(782\) | −0.501086 | + | 0.755766i | −0.0179188 | + | 0.0270261i | ||||
\(783\) | −3.76202 | −0.134443 | ||||||||
\(784\) | 10.1756 | + | 26.0856i | 0.363414 | + | 0.931628i | ||||
\(785\) | −12.4282 | −0.443582 | ||||||||
\(786\) | 10.1226 | − | 15.2675i | 0.361062 | − | 0.544573i | ||||
\(787\) | −25.4388 | − | 6.81631i | −0.906796 | − | 0.242975i | −0.224863 | − | 0.974390i | \(-0.572194\pi\) |
−0.681933 | + | 0.731415i | \(0.738860\pi\) | |||||||
\(788\) | 18.5145 | − | 45.6180i | 0.659550 | − | 1.62507i | ||||
\(789\) | 27.6422 | − | 7.40670i | 0.984087 | − | 0.263685i | ||||
\(790\) | 25.4358 | − | 22.4681i | 0.904967 | − | 0.799378i | ||||
\(791\) | 17.5332 | − | 11.2757i | 0.623408 | − | 0.400916i | ||||
\(792\) | 0.197496 | + | 0.288818i | 0.00701773 | + | 0.0102627i | ||||
\(793\) | −30.1441 | − | 17.4037i | −1.07045 | − | 0.618023i | ||||
\(794\) | −3.00407 | + | 8.95478i | −0.106610 | + | 0.317793i | ||||
\(795\) | 5.33001 | − | 19.8919i | 0.189036 | − | 0.705492i | ||||
\(796\) | 3.92345 | + | 2.96623i | 0.139063 | + | 0.105135i | ||||
\(797\) | −3.70071 | + | 3.70071i | −0.131086 | + | 0.131086i | −0.769606 | − | 0.638520i | \(-0.779547\pi\) |
0.638520 | + | 0.769606i | \(0.279547\pi\) | |||||||
\(798\) | −0.172608 | + | 12.3631i | −0.00611027 | + | 0.437650i | ||||
\(799\) | 0.367693 | 0.0130081 | ||||||||
\(800\) | −9.00669 | + | 8.18812i | −0.318435 | + | 0.289494i | ||||
\(801\) | 1.72418 | + | 2.98637i | 0.0609210 | + | 0.105518i | ||||
\(802\) | 8.99643 | − | 4.47662i | 0.317675 | − | 0.158075i | ||||
\(803\) | 0.309740 | + | 1.15596i | 0.0109305 | + | 0.0407931i | ||||
\(804\) | 0.866844 | − | 6.96914i | 0.0305712 | − | 0.245783i | ||||
\(805\) | −26.4386 | + | 8.46063i | −0.931838 | + | 0.298198i | ||||
\(806\) | 22.3427 | + | 25.2939i | 0.786989 | + | 0.890941i | ||||
\(807\) | −11.0820 | − | 6.39820i | −0.390105 | − | 0.225227i | ||||
\(808\) | 40.0025 | + | 19.1963i | 1.40728 | + | 0.675323i | ||||
\(809\) | −8.62274 | + | 4.97834i | −0.303159 | + | 0.175029i | −0.643861 | − | 0.765142i | \(-0.722669\pi\) |
0.340702 | + | 0.940171i | \(0.389335\pi\) | |||||||
\(810\) | 0.473994 | + | 2.33918i | 0.0166544 | + | 0.0821904i | ||||
\(811\) | −12.4822 | − | 12.4822i | −0.438308 | − | 0.438308i | 0.453134 | − | 0.891442i | \(-0.350306\pi\) |
−0.891442 | + | 0.453134i | \(0.850306\pi\) | |||||||
\(812\) | 19.5635 | − | 3.68065i | 0.686544 | − | 0.129166i | ||||
\(813\) | 14.8740 | − | 14.8740i | 0.521653 | − | 0.521653i | ||||
\(814\) | 0.889568 | − | 1.34169i | 0.0311794 | − | 0.0470264i | ||||
\(815\) | −15.3086 | − | 26.5153i | −0.536237 | − | 0.928789i | ||||
\(816\) | −0.360194 | − | 0.201144i | −0.0126093 | − | 0.00704145i | ||||
\(817\) | 1.85459 | − | 3.21225i | 0.0648839 | − | 0.112382i | ||||
\(818\) | 8.55856 | + | 0.530227i | 0.299243 | + | 0.0185390i | ||||
\(819\) | 9.76294 | − | 10.7464i | 0.341145 | − | 0.375508i | ||||
\(820\) | 20.8316 | − | 16.2227i | 0.727472 | − | 0.566521i | ||||
\(821\) | −7.04737 | + | 1.88834i | −0.245955 | + | 0.0659034i | −0.379690 | − | 0.925114i | \(-0.623969\pi\) |
0.133735 | + | 0.991017i | \(0.457303\pi\) | |||||||
\(822\) | −3.11579 | − | 1.04526i | −0.108676 | − | 0.0364575i | ||||
\(823\) | −0.153774 | + | 0.0887817i | −0.00536024 | + | 0.00309474i | −0.502678 | − | 0.864474i | \(-0.667652\pi\) |
0.497317 | + | 0.867569i | \(0.334318\pi\) | |||||||
\(824\) | −21.1951 | + | 24.6979i | −0.738366 | + | 0.860392i | ||||
\(825\) | − | 0.266184i | − | 0.00926733i | ||||||
\(826\) | 6.94158 | − | 24.5312i | 0.241529 | − | 0.853550i | ||||
\(827\) | 28.8724 | + | 28.8724i | 1.00399 | + | 1.00399i | 0.999992 | + | 0.00399887i | \(0.00127288\pi\) |
0.00399887 | + | 0.999992i | \(0.498727\pi\) | |||||||
\(828\) | 7.49847 | − | 9.91828i | 0.260590 | − | 0.344684i | ||||
\(829\) | 19.7283 | + | 5.28619i | 0.685194 | + | 0.183597i | 0.584589 | − | 0.811329i | \(-0.301256\pi\) |
0.100604 | + | 0.994927i | \(0.467922\pi\) | |||||||
\(830\) | 11.6592 | − | 5.80161i | 0.404697 | − | 0.201377i | ||||
\(831\) | −16.4258 | + | 28.4504i | −0.569806 | + | 0.986933i | ||||
\(832\) | 40.1896 | − | 17.6665i | 1.39332 | − | 0.612477i | ||||
\(833\) | 0.718653 | − | 0.0690774i | 0.0248998 | − | 0.00239339i | ||||
\(834\) | 1.20746 | − | 19.4899i | 0.0418108 | − | 0.674881i | ||||
\(835\) | −3.26247 | − | 12.1757i | −0.112903 | − | 0.421358i | ||||
\(836\) | −0.318261 | − | 0.753069i | −0.0110073 | − | 0.0260454i | ||||
\(837\) | −1.12552 | + | 4.20051i | −0.0389037 | + | 0.145191i | ||||
\(838\) | 13.5865 | − | 2.75307i | 0.469337 | − | 0.0951031i | ||||
\(839\) | − | 2.84344i | − | 0.0981663i | −0.998795 | − | 0.0490832i | \(-0.984370\pi\) | ||
0.998795 | − | 0.0490832i | \(-0.0156299\pi\) | |||||||
\(840\) | −4.75348 | − | 11.7006i | −0.164011 | − | 0.403710i | ||||
\(841\) | 14.8472i | 0.511974i | ||||||||
\(842\) | −3.90941 | − | 19.2931i | −0.134727 | − | 0.664884i | ||||
\(843\) | −6.00260 | + | 22.4020i | −0.206741 | + | 0.771567i | ||||
\(844\) | 0.410878 | + | 0.166759i | 0.0141430 | + | 0.00574007i | ||||
\(845\) | 7.47547 | + | 27.8988i | 0.257164 | + | 0.959749i | ||||
\(846\) | −5.03212 | − | 0.311754i | −0.173008 | − | 0.0107183i | ||||
\(847\) | −29.0294 | + | 1.39196i | −0.997463 | + | 0.0478282i | ||||
\(848\) | −25.0069 | − | 41.9170i | −0.858742 | − | 1.43943i | ||||
\(849\) | −6.69680 | + | 11.5992i | −0.229834 | + | 0.398084i | ||||
\(850\) | 0.139821 | + | 0.280992i | 0.00479583 | + | 0.00963794i | ||||
\(851\) | −55.2579 | − | 14.8063i | −1.89422 | − | 0.507553i | ||||
\(852\) | 23.5239 | − | 3.26831i | 0.805916 | − | 0.111970i | ||||
\(853\) | 8.51283 | + | 8.51283i | 0.291474 | + | 0.291474i | 0.837662 | − | 0.546188i | \(-0.183922\pi\) |
−0.546188 | + | 0.837662i | \(0.683922\pi\) | |||||||
\(854\) | 5.82189 | + | 23.0077i | 0.199221 | + | 0.787307i | ||||
\(855\) | − | 5.57690i | − | 0.190726i | ||||||
\(856\) | 0.991060 | + | 12.9846i | 0.0338737 | + | 0.443805i | ||||
\(857\) | 35.6618 | − | 20.5893i | 1.21818 | − | 0.703318i | 0.253654 | − | 0.967295i | \(-0.418368\pi\) |
0.964529 | + | 0.263977i | \(0.0850342\pi\) | |||||||
\(858\) | −0.305337 | + | 0.910175i | −0.0104240 | + | 0.0310729i | ||||
\(859\) | 45.8305 | − | 12.2802i | 1.56372 | − | 0.418996i | 0.629878 | − | 0.776694i | \(-0.283105\pi\) |
0.933837 | + | 0.357698i | \(0.116438\pi\) | |||||||
\(860\) | −0.467644 | + | 3.75970i | −0.0159465 | + | 0.128205i | ||||
\(861\) | −6.30788 | − | 19.7115i | −0.214972 | − | 0.671766i | ||||
\(862\) | 0.482477 | − | 7.78781i | 0.0164332 | − | 0.265254i | ||||
\(863\) | −16.3347 | + | 28.2925i | −0.556040 | + | 0.963089i | 0.441782 | + | 0.897122i | \(0.354346\pi\) |
−0.997822 | + | 0.0659665i | \(0.978987\pi\) | |||||||
\(864\) | 4.75894 | + | 3.05818i | 0.161902 | + | 0.104041i | ||||
\(865\) | −15.3464 | − | 26.5808i | −0.521795 | − | 0.903775i | ||||
\(866\) | 32.3711 | + | 21.4626i | 1.10001 | + | 0.729330i | ||||
\(867\) | 12.0133 | − | 12.0133i | 0.407993 | − | 0.407993i | ||||
\(868\) | 1.74336 | − | 22.9449i | 0.0591735 | − | 0.778802i | ||||
\(869\) | 1.24381 | + | 1.24381i | 0.0421933 | + | 0.0421933i | ||||
\(870\) | −8.80003 | + | 1.78317i | −0.298349 | + | 0.0604552i | ||||
\(871\) | 16.6878 | − | 9.63471i | 0.565445 | − | 0.326460i | ||||
\(872\) | 9.15355 | − | 19.0747i | 0.309978 | − | 0.645952i | ||||
\(873\) | −14.5418 | − | 8.39570i | −0.492165 | − | 0.284151i | ||||
\(874\) | −21.7748 | + | 19.2342i | −0.736544 | + | 0.650606i | ||||
\(875\) | −6.77823 | + | 31.2061i | −0.229146 | + | 1.05496i | ||||
\(876\) | 11.8881 | + | 15.2656i | 0.401663 | + | 0.515777i | ||||
\(877\) | 10.8234 | + | 40.3934i | 0.365479 | + | 1.36399i | 0.866770 | + | 0.498709i | \(0.166192\pi\) |
−0.501290 | + | 0.865279i | \(0.667141\pi\) | |||||||
\(878\) | 17.3569 | + | 34.8813i | 0.585766 | + | 1.17719i | ||||
\(879\) | −0.308370 | − | 0.534113i | −0.0104011 | − | 0.0180152i | ||||
\(880\) | 0.598877 | + | 0.581985i | 0.0201881 | + | 0.0196187i | ||||
\(881\) | 0.228752 | 0.00770686 | 0.00385343 | − | 0.999993i | \(-0.498773\pi\) | ||||
0.00385343 | + | 0.999993i | \(0.498773\pi\) | |||||||
\(882\) | −9.89379 | + | 0.336048i | −0.333141 | + | 0.0113153i | ||||
\(883\) | 18.1410 | − | 18.1410i | 0.610492 | − | 0.610492i | −0.332582 | − | 0.943074i | \(-0.607920\pi\) |
0.943074 | + | 0.332582i | \(0.107920\pi\) | |||||||
\(884\) | −0.155774 | − | 1.12120i | −0.00523925 | − | 0.0377099i | ||||
\(885\) | −2.97621 | + | 11.1074i | −0.100044 | + | 0.373370i | ||||
\(886\) | 8.82224 | + | 2.95960i | 0.296389 | + | 0.0994299i | ||||
\(887\) | −39.9928 | − | 23.0899i | −1.34283 | − | 0.775282i | −0.355606 | − | 0.934636i | \(-0.615726\pi\) |
−0.987221 | + | 0.159354i | \(0.949059\pi\) | |||||||
\(888\) | 4.80344 | − | 25.5797i | 0.161193 | − | 0.858400i | ||||
\(889\) | 7.65949 | − | 4.92585i | 0.256891 | − | 0.165208i | ||||
\(890\) | 5.44869 | + | 6.16840i | 0.182641 | + | 0.206765i | ||||
\(891\) | −0.119488 | + | 0.0320168i | −0.00400301 | + | 0.00107260i | ||||
\(892\) | 15.6951 | + | 37.1378i | 0.525510 | + | 1.24346i | ||||
\(893\) | 11.3794 | + | 3.04909i | 0.380796 | + | 0.102034i | ||||
\(894\) | −4.01436 | − | 2.66159i | −0.134260 | − | 0.0890170i | ||||
\(895\) | 13.7872 | 0.460854 | ||||||||
\(896\) | −27.7398 | − | 11.2473i | −0.926722 | − | 0.375748i | ||||
\(897\) | 34.1161 | 1.13910 | ||||||||
\(898\) | −45.0904 | − | 29.8957i | −1.50469 | − | 0.997634i | ||||
\(899\) | −15.8024 | − | 4.23423i | −0.527038 | − | 0.141220i | ||||
\(900\) | −1.67530 | − | 3.96410i | −0.0558433 | − | 0.132137i | ||||
\(901\) | −1.21565 | + | 0.325732i | −0.0404991 | + | 0.0108517i | ||||
\(902\) | 0.905975 | + | 1.02564i | 0.0301657 | + | 0.0341502i | ||||
\(903\) | 2.64005 | + | 1.35999i | 0.0878553 | + | 0.0452577i | ||||
\(904\) | −4.11290 | + | 21.9024i | −0.136793 | + | 0.728463i | ||||
\(905\) | −15.1878 | − | 8.76866i | −0.504858 | − | 0.291480i | ||||
\(906\) | −3.98747 | − | 1.33768i | −0.132475 | − | 0.0444415i | ||||
\(907\) | −6.85745 | + | 25.5923i | −0.227698 | + | 0.849780i | 0.753608 | + | 0.657324i | \(0.228312\pi\) |
−0.981306 | + | 0.192456i | \(0.938355\pi\) | |||||||
\(908\) | 5.74788 | + | 41.3708i | 0.190750 | + | 1.37294i | ||||
\(909\) | −11.0925 | + | 11.0925i | −0.367915 | + | 0.367915i | ||||
\(910\) | 17.7436 | − | 29.7652i | 0.588193 | − | 0.986708i | ||||
\(911\) | 53.1180 | 1.75988 | 0.879938 | − | 0.475088i | \(-0.157584\pi\) | ||||
0.879938 | + | 0.475088i | \(0.157584\pi\) | |||||||
\(912\) | −9.47930 | − | 9.21192i | −0.313891 | − | 0.305037i | ||||
\(913\) | 0.337488 | + | 0.584547i | 0.0111692 | + | 0.0193457i | ||||
\(914\) | 20.0064 | + | 40.2058i | 0.661752 | + | 1.32989i | ||||
\(915\) | −2.77056 | − | 10.3399i | −0.0915920 | − | 0.341826i | ||||
\(916\) | 1.94090 | + | 2.49231i | 0.0641291 | + | 0.0823484i | ||||
\(917\) | −25.3658 | − | 23.0445i | −0.837651 | − | 0.760996i | ||||
\(918\) | 0.109318 | − | 0.0965631i | 0.00360803 | − | 0.00318706i | ||||
\(919\) | −7.57684 | − | 4.37449i | −0.249937 | − | 0.144301i | 0.369798 | − | 0.929112i | \(-0.379427\pi\) |
−0.619735 | + | 0.784811i | \(0.712760\pi\) | |||||||
\(920\) | 12.8391 | − | 26.7549i | 0.423291 | − | 0.882082i | ||||
\(921\) | −21.9876 | + | 12.6945i | −0.724515 | + | 0.418299i | ||||
\(922\) | −45.9493 | + | 9.31083i | −1.51326 | + | 0.306636i | ||||
\(923\) | 46.0788 | + | 46.0788i | 1.51670 | + | 1.51670i | ||||
\(924\) | 0.590048 | − | 0.283400i | 0.0194111 | − | 0.00932319i | ||||
\(925\) | −14.0010 | + | 14.0010i | −0.460352 | + | 0.460352i | ||||
\(926\) | −8.98076 | − | 5.95441i | −0.295126 | − | 0.195674i | ||||
\(927\) | −5.75331 | − | 9.96503i | −0.188964 | − | 0.327294i | ||||
\(928\) | −11.5049 | + | 17.9032i | −0.377668 | + | 0.587702i | ||||
\(929\) | −28.6170 | + | 49.5661i | −0.938893 | + | 1.62621i | −0.171353 | + | 0.985210i | \(0.554814\pi\) |
−0.767540 | + | 0.641001i | \(0.778519\pi\) | |||||||
\(930\) | −0.641784 | + | 10.3592i | −0.0210449 | + | 0.339692i | ||||
\(931\) | 22.8137 | + | 3.82161i | 0.747688 | + | 0.125248i | ||||
\(932\) | −0.0593142 | + | 0.476867i | −0.00194290 | + | 0.0156203i | ||||
\(933\) | −31.3760 | + | 8.40717i | −1.02720 | + | 0.275238i | ||||
\(934\) | −15.1374 | + | 45.1228i | −0.495310 | + | 1.47646i | ||||
\(935\) | 0.0186474 | − | 0.0107661i | 0.000609834 | − | 0.000352088i | ||||
\(936\) | 1.18125 | + | 15.4764i | 0.0386102 | + | 0.505861i | ||||
\(937\) | 12.0202i | 0.392683i | 0.980536 | + | 0.196342i | \(0.0629061\pi\) | ||||
−0.980536 | + | 0.196342i | \(0.937094\pi\) | |||||||
\(938\) | −12.6421 | − | 3.57734i | −0.412781 | − | 0.116804i | ||||
\(939\) | −17.1385 | − | 17.1385i | −0.559293 | − | 0.559293i | ||||
\(940\) | −11.9188 | + | 1.65594i | −0.388748 | + | 0.0540110i | ||||
\(941\) | 8.92984 | + | 2.39274i | 0.291104 | + | 0.0780012i | 0.401416 | − | 0.915896i | \(-0.368518\pi\) |
−0.110312 | + | 0.993897i | \(0.535185\pi\) | |||||||
\(942\) | −4.63958 | − | 9.32393i | −0.151166 | − | 0.303790i | ||||
\(943\) | 24.3156 | − | 42.1159i | 0.791825 | − | 1.37148i | ||||
\(944\) | 13.9636 | + | 23.4059i | 0.454476 | + | 0.761798i | ||||
\(945\) | 4.46002 | − | 0.213857i | 0.145084 | − | 0.00695678i | ||||
\(946\) | −0.195991 | − | 0.0121422i | −0.00637222 | − | 0.000394778i | ||||
\(947\) | 11.9221 | + | 44.4940i | 0.387417 | + | 1.44586i | 0.834321 | + | 0.551279i | \(0.185860\pi\) |
−0.446904 | + | 0.894582i | \(0.647473\pi\) | |||||||
\(948\) | 26.3515 | + | 10.6950i | 0.855857 | + | 0.347357i | ||||
\(949\) | −13.7404 | + | 51.2799i | −0.446033 | + | 1.66462i | ||||
\(950\) | 1.99707 | + | 9.85560i | 0.0647934 | + | 0.319758i | ||||
\(951\) | − | 27.3418i | − | 0.886618i | ||||||
\(952\) | −0.474008 | + | 0.609107i | −0.0153627 | + | 0.0197413i | ||||
\(953\) | 30.5529i | 0.989704i | 0.868977 | + | 0.494852i | \(0.164778\pi\) | ||||
−0.868977 | + | 0.494852i | \(0.835222\pi\) | |||||||
\(954\) | 16.9131 | − | 3.42714i | 0.547581 | − | 0.110958i | ||||
\(955\) | 10.0247 | − | 37.4126i | 0.324390 | − | 1.21064i | ||||
\(956\) | −15.1608 | − | 35.8735i | −0.490334 | − | 1.16023i | ||||
\(957\) | −0.120448 | − | 0.449518i | −0.00389353 | − | 0.0145308i | ||||
\(958\) | 1.16199 | − | 18.7560i | 0.0375422 | − | 0.605980i | ||||
\(959\) | −2.81564 | + | 5.46578i | −0.0909217 | + | 0.176499i | ||||
\(960\) | 12.5816 | + | 4.89792i | 0.406069 | + | 0.158080i | ||||
\(961\) | 6.04448 | − | 10.4693i | 0.194983 | − | 0.337721i | ||||
\(962\) | 63.9349 | − | 31.8140i | 2.06135 | − | 1.02572i | ||||
\(963\) | −4.44722 | − | 1.19163i | −0.143310 | − | 0.0383997i | ||||
\(964\) | −19.0340 | + | 25.1763i | −0.613042 | + | 0.810875i | ||||
\(965\) | 10.1020 | + | 10.1020i | 0.325194 | + | 0.325194i | ||||
\(966\) | −16.2171 | − | 16.6764i | −0.521778 | − | 0.536554i | ||||
\(967\) | 29.3072i | 0.942455i | 0.882012 | + | 0.471228i | \(0.156189\pi\) | ||||
−0.882012 | + | 0.471228i | \(0.843811\pi\) | |||||||
\(968\) | 20.2337 | − | 23.5776i | 0.650336 | − | 0.757814i | ||||
\(969\) | −0.295159 | + | 0.170410i | −0.00948187 | + | 0.00547436i | ||||
\(970\) | −37.9953 | − | 12.7463i | −1.21996 | − | 0.409260i | ||||
\(971\) | −14.7240 | + | 3.94528i | −0.472516 | + | 0.126610i | −0.487216 | − | 0.873282i | \(-0.661987\pi\) |
0.0146998 | + | 0.999892i | \(0.495321\pi\) | |||||||
\(972\) | −1.57796 | + | 1.22884i | −0.0506130 | + | 0.0394151i | ||||
\(973\) | −35.6998 | − | 7.75430i | −1.14448 | − | 0.248591i | ||||
\(974\) | −47.4113 | − | 2.93727i | −1.51916 | − | 0.0941161i | ||||
\(975\) | 5.90411 | − | 10.2262i | 0.189083 | − | 0.327501i | ||||
\(976\) | −22.1516 | − | 12.3702i | −0.709054 | − | 0.395959i | ||||
\(977\) | −15.4876 | − | 26.8253i | −0.495492 | − | 0.858217i | 0.504495 | − | 0.863415i | \(-0.331679\pi\) |
−0.999986 | + | 0.00519784i | \(0.998345\pi\) | |||||||
\(978\) | 14.1775 | − | 21.3833i | 0.453346 | − | 0.683762i | ||||
\(979\) | −0.301634 | + | 0.301634i | −0.00964027 | + | 0.00964027i | ||||
\(980\) | −22.9841 | + | 5.47567i | −0.734199 | + | 0.174914i | ||||
\(981\) | 5.28934 | + | 5.28934i | 0.168875 | + | 0.168875i | ||||
\(982\) | 4.51497 | + | 22.2816i | 0.144078 | + | 0.711033i | ||||
\(983\) | −36.2320 | + | 20.9186i | −1.15562 | + | 0.667199i | −0.950251 | − | 0.311485i | \(-0.899174\pi\) |
−0.205371 | + | 0.978684i | \(0.565840\pi\) | |||||||
\(984\) | 19.9473 | + | 9.57226i | 0.635896 | + | 0.305152i | ||||
\(985\) | 35.9777 | + | 20.7718i | 1.14635 | + | 0.661843i | ||||
\(986\) | 0.363272 | + | 0.411256i | 0.0115689 | + | 0.0130971i | ||||
\(987\) | −2.00209 | + | 9.21735i | −0.0637272 | + | 0.293392i | ||||
\(988\) | 4.47662 | − | 35.9906i | 0.142420 | − | 1.14501i | ||||
\(989\) | 1.80610 | + | 6.74045i | 0.0574306 | + | 0.214334i | ||||
\(990\) | −0.264329 | + | 0.131530i | −0.00840093 | + | 0.00418030i | ||||
\(991\) | −24.9333 | − | 43.1857i | −0.792032 | − | 1.37184i | −0.924707 | − | 0.380680i | \(-0.875690\pi\) |
0.132675 | − | 0.991160i | \(-0.457643\pi\) | |||||||
\(992\) | 16.5479 | + | 18.2022i | 0.525397 | + | 0.577921i | ||||
\(993\) | −24.3069 | −0.771355 | ||||||||
\(994\) | 0.620277 | − | 44.4276i | 0.0196740 | − | 1.40916i | ||||
\(995\) | −2.93479 | + | 2.93479i | −0.0930392 | + | 0.0930392i | ||||
\(996\) | 8.70500 | + | 6.58120i | 0.275828 | + | 0.208533i | ||||
\(997\) | 3.98587 | − | 14.8755i | 0.126234 | − | 0.471111i | −0.873647 | − | 0.486560i | \(-0.838251\pi\) |
0.999881 | + | 0.0154498i | \(0.00491802\pi\) | |||||||
\(998\) | −14.7046 | + | 43.8328i | −0.465467 | + | 1.38750i | ||||
\(999\) | 7.96906 | + | 4.60094i | 0.252130 | + | 0.145567i |
(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 | 336.2.bq.b.37.6 | ✓ | 120 | |
7.4 | even | 3 | inner | 336.2.bq.b.277.24 | yes | 120 | |
16.13 | even | 4 | inner | 336.2.bq.b.205.24 | yes | 120 | |
112.109 | even | 12 | inner | 336.2.bq.b.109.6 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
336.2.bq.b.37.6 | ✓ | 120 | 1.1 | even | 1 | trivial | |
336.2.bq.b.109.6 | yes | 120 | 112.109 | even | 12 | inner | |
336.2.bq.b.205.24 | yes | 120 | 16.13 | even | 4 | inner | |
336.2.bq.b.277.24 | yes | 120 | 7.4 | even | 3 | inner |