Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(67,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.w (of order \(20\), degree \(8\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 67.17 | ||
Character | \(\chi\) | \(=\) | 300.67 |
Dual form | 300.2.w.a.103.17 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{13}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.275181 | + | 1.38718i | 0.194582 | + | 0.980886i | ||||
\(3\) | −0.987688 | − | 0.156434i | −0.570242 | − | 0.0903175i | ||||
\(4\) | −1.84855 | + | 0.763453i | −0.924275 | + | 0.381726i | ||||
\(5\) | −1.17964 | − | 1.89959i | −0.527550 | − | 0.849524i | ||||
\(6\) | −0.0547899 | − | 1.41315i | −0.0223679 | − | 0.576917i | ||||
\(7\) | −1.39751 | + | 1.39751i | −0.528209 | + | 0.528209i | −0.920038 | − | 0.391829i | \(-0.871842\pi\) |
0.391829 | + | 0.920038i | \(0.371842\pi\) | |||||||
\(8\) | −1.56773 | − | 2.35419i | −0.554278 | − | 0.832332i | ||||
\(9\) | 0.951057 | + | 0.309017i | 0.317019 | + | 0.103006i | ||||
\(10\) | 2.31047 | − | 2.15910i | 0.730635 | − | 0.682769i | ||||
\(11\) | 1.17837 | − | 0.382876i | 0.355293 | − | 0.115442i | −0.125932 | − | 0.992039i | \(-0.540192\pi\) |
0.481225 | + | 0.876597i | \(0.340192\pi\) | |||||||
\(12\) | 1.94522 | − | 0.464876i | 0.561537 | − | 0.134198i | ||||
\(13\) | −2.63087 | − | 5.16338i | −0.729673 | − | 1.43206i | −0.895111 | − | 0.445844i | \(-0.852904\pi\) |
0.165438 | − | 0.986220i | \(-0.447096\pi\) | |||||||
\(14\) | −2.32317 | − | 1.55403i | −0.620893 | − | 0.415333i | ||||
\(15\) | 0.867952 | + | 2.06074i | 0.224104 | + | 0.532081i | ||||
\(16\) | 2.83428 | − | 2.82256i | 0.708570 | − | 0.705640i | ||||
\(17\) | −0.916613 | − | 5.78726i | −0.222311 | − | 1.40362i | −0.806132 | − | 0.591735i | \(-0.798443\pi\) |
0.583821 | − | 0.811882i | \(-0.301557\pi\) | |||||||
\(18\) | −0.166950 | + | 1.40432i | −0.0393506 | + | 0.331002i | ||||
\(19\) | −3.68988 | − | 2.68086i | −0.846518 | − | 0.615031i | 0.0776661 | − | 0.996979i | \(-0.475253\pi\) |
−0.924184 | + | 0.381948i | \(0.875253\pi\) | |||||||
\(20\) | 3.63087 | + | 2.61090i | 0.811887 | + | 0.583815i | ||||
\(21\) | 1.59892 | − | 1.16169i | 0.348914 | − | 0.253501i | ||||
\(22\) | 0.855385 | + | 1.52926i | 0.182369 | + | 0.326039i | ||||
\(23\) | −0.0552946 | + | 0.108522i | −0.0115297 | + | 0.0226284i | −0.896700 | − | 0.442640i | \(-0.854042\pi\) |
0.885170 | + | 0.465268i | \(0.154042\pi\) | |||||||
\(24\) | 1.18016 | + | 2.57045i | 0.240898 | + | 0.524692i | ||||
\(25\) | −2.21691 | + | 4.48166i | −0.443383 | + | 0.896332i | ||||
\(26\) | 6.43858 | − | 5.07037i | 1.26271 | − | 0.994380i | ||||
\(27\) | −0.891007 | − | 0.453990i | −0.171474 | − | 0.0873705i | ||||
\(28\) | 1.51644 | − | 3.65030i | 0.286579 | − | 0.689842i | ||||
\(29\) | 3.15410 | + | 4.34124i | 0.585701 | + | 0.806148i | 0.994306 | − | 0.106563i | \(-0.0339847\pi\) |
−0.408605 | + | 0.912711i | \(0.633985\pi\) | |||||||
\(30\) | −2.61978 | + | 1.77108i | −0.478305 | + | 0.323354i | ||||
\(31\) | −6.30517 | + | 8.67832i | −1.13244 | + | 1.55867i | −0.349093 | + | 0.937088i | \(0.613510\pi\) |
−0.783348 | + | 0.621583i | \(0.786490\pi\) | |||||||
\(32\) | 4.69535 | + | 3.15495i | 0.830028 | + | 0.557721i | ||||
\(33\) | −1.22376 | + | 0.193825i | −0.213029 | + | 0.0337405i | ||||
\(34\) | 7.77576 | − | 2.86405i | 1.33353 | − | 0.491181i | ||||
\(35\) | 4.30325 | + | 1.00615i | 0.727383 | + | 0.170070i | ||||
\(36\) | −1.99400 | + | 0.154853i | −0.332333 | + | 0.0258088i | ||||
\(37\) | −3.90325 | + | 1.98881i | −0.641691 | + | 0.326958i | −0.744381 | − | 0.667756i | \(-0.767255\pi\) |
0.102690 | + | 0.994713i | \(0.467255\pi\) | |||||||
\(38\) | 2.70345 | − | 5.85626i | 0.438558 | − | 0.950012i | ||||
\(39\) | 1.79075 | + | 5.51137i | 0.286750 | + | 0.882525i | ||||
\(40\) | −2.62265 | + | 5.75515i | −0.414677 | + | 0.909969i | ||||
\(41\) | 1.88978 | − | 5.81615i | 0.295134 | − | 0.908330i | −0.688042 | − | 0.725671i | \(-0.741530\pi\) |
0.983176 | − | 0.182659i | \(-0.0584704\pi\) | |||||||
\(42\) | 2.05146 | + | 1.89832i | 0.316548 | + | 0.292918i | ||||
\(43\) | −6.87625 | − | 6.87625i | −1.04862 | − | 1.04862i | −0.998756 | − | 0.0498626i | \(-0.984122\pi\) |
−0.0498626 | − | 0.998756i | \(-0.515878\pi\) | |||||||
\(44\) | −1.88597 | + | 1.60740i | −0.284321 | + | 0.242324i | ||||
\(45\) | −0.534894 | − | 2.17115i | −0.0797374 | − | 0.323656i | ||||
\(46\) | −0.165756 | − | 0.0468406i | −0.0244393 | − | 0.00690627i | ||||
\(47\) | −0.721759 | + | 4.55701i | −0.105279 | + | 0.664708i | 0.877451 | + | 0.479666i | \(0.159242\pi\) |
−0.982731 | + | 0.185042i | \(0.940758\pi\) | |||||||
\(48\) | −3.24093 | + | 2.34443i | −0.467788 | + | 0.338390i | ||||
\(49\) | 3.09393i | 0.441990i | ||||||||
\(50\) | −6.82694 | − | 1.84200i | −0.965474 | − | 0.260498i | ||||
\(51\) | 5.85940i | 0.820481i | ||||||||
\(52\) | 8.80530 | + | 7.53622i | 1.22108 | + | 1.04509i | ||||
\(53\) | 0.00324925 | − | 0.0205149i | 0.000446318 | − | 0.00281794i | −0.987464 | − | 0.157843i | \(-0.949546\pi\) |
0.987910 | + | 0.155025i | \(0.0495459\pi\) | |||||||
\(54\) | 0.384580 | − | 1.36092i | 0.0523347 | − | 0.185198i | ||||
\(55\) | −2.11736 | − | 1.78677i | −0.285505 | − | 0.240929i | ||||
\(56\) | 5.48093 | + | 1.09908i | 0.732420 | + | 0.146871i | ||||
\(57\) | 3.22508 | + | 3.22508i | 0.427172 | + | 0.427172i | ||||
\(58\) | −5.15414 | + | 5.56993i | −0.676772 | + | 0.731368i | ||||
\(59\) | 2.84365 | − | 8.75185i | 0.370212 | − | 1.13939i | −0.576441 | − | 0.817139i | \(-0.695559\pi\) |
0.946653 | − | 0.322255i | \(-0.104441\pi\) | |||||||
\(60\) | −3.17773 | − | 3.14675i | −0.410243 | − | 0.406243i | ||||
\(61\) | 0.217081 | + | 0.668108i | 0.0277944 | + | 0.0855424i | 0.963991 | − | 0.265933i | \(-0.0856800\pi\) |
−0.936197 | + | 0.351476i | \(0.885680\pi\) | |||||||
\(62\) | −13.7735 | − | 6.35831i | −1.74923 | − | 0.807506i | ||||
\(63\) | −1.76096 | + | 0.897256i | −0.221861 | + | 0.113044i | ||||
\(64\) | −3.08442 | + | 7.38149i | −0.385552 | + | 0.922686i | ||||
\(65\) | −6.70485 | + | 11.0885i | −0.831634 | + | 1.37536i | ||||
\(66\) | −0.605625 | − | 1.64424i | −0.0745473 | − | 0.202392i | ||||
\(67\) | 7.05089 | − | 1.11675i | 0.861403 | − | 0.136433i | 0.289924 | − | 0.957050i | \(-0.406370\pi\) |
0.571479 | + | 0.820617i | \(0.306370\pi\) | |||||||
\(68\) | 6.11271 | + | 9.99826i | 0.741275 | + | 1.21247i | ||||
\(69\) | 0.0715904 | − | 0.0985357i | 0.00861847 | − | 0.0118623i | ||||
\(70\) | −0.211536 | + | 6.24627i | −0.0252834 | + | 0.746572i | ||||
\(71\) | −4.63594 | − | 6.38083i | −0.550185 | − | 0.757265i | 0.439852 | − | 0.898070i | \(-0.355031\pi\) |
−0.990037 | + | 0.140805i | \(0.955031\pi\) | |||||||
\(72\) | −0.763519 | − | 2.72342i | −0.0899816 | − | 0.320959i | ||||
\(73\) | −4.73873 | − | 2.41450i | −0.554626 | − | 0.282596i | 0.154129 | − | 0.988051i | \(-0.450743\pi\) |
−0.708755 | + | 0.705455i | \(0.750743\pi\) | |||||||
\(74\) | −3.83294 | − | 4.86724i | −0.445570 | − | 0.565805i | ||||
\(75\) | 2.89071 | − | 4.07968i | 0.333790 | − | 0.471081i | ||||
\(76\) | 8.86765 | + | 2.13865i | 1.01719 | + | 0.245320i | ||||
\(77\) | −1.11171 | + | 2.18186i | −0.126692 | + | 0.248646i | ||||
\(78\) | −7.15249 | + | 4.00072i | −0.809860 | + | 0.452993i | ||||
\(79\) | 10.1840 | − | 7.39910i | 1.14579 | − | 0.832463i | 0.157872 | − | 0.987460i | \(-0.449537\pi\) |
0.987915 | + | 0.154996i | \(0.0495365\pi\) | |||||||
\(80\) | −8.70514 | − | 2.05438i | −0.973265 | − | 0.229687i | ||||
\(81\) | 0.809017 | + | 0.587785i | 0.0898908 | + | 0.0653095i | ||||
\(82\) | 8.58809 | + | 1.02098i | 0.948396 | + | 0.112748i | ||||
\(83\) | −0.455567 | − | 2.87634i | −0.0500050 | − | 0.315719i | −0.999994 | − | 0.00343616i | \(-0.998906\pi\) |
0.949989 | − | 0.312283i | \(-0.101094\pi\) | |||||||
\(84\) | −2.06880 | + | 3.36814i | −0.225724 | + | 0.367494i | ||||
\(85\) | −9.91218 | + | 8.56806i | −1.07513 | + | 0.929337i | ||||
\(86\) | 7.64640 | − | 11.4308i | 0.824533 | − | 1.23262i | ||||
\(87\) | −2.43614 | − | 4.78120i | −0.261182 | − | 0.512599i | ||||
\(88\) | −2.74874 | − | 2.17386i | −0.293017 | − | 0.231735i | ||||
\(89\) | 9.16320 | − | 2.97730i | 0.971297 | − | 0.315594i | 0.219958 | − | 0.975509i | \(-0.429408\pi\) |
0.751340 | + | 0.659916i | \(0.229408\pi\) | |||||||
\(90\) | 2.86459 | − | 1.33946i | 0.301954 | − | 0.141191i | ||||
\(91\) | 10.8925 | + | 3.53920i | 1.14185 | + | 0.371009i | ||||
\(92\) | 0.0193637 | − | 0.242823i | 0.00201880 | − | 0.0253160i | ||||
\(93\) | 7.58513 | − | 7.58513i | 0.786541 | − | 0.786541i | ||||
\(94\) | −6.52001 | + | 0.252790i | −0.672488 | + | 0.0260733i | ||||
\(95\) | −0.739818 | + | 10.1717i | −0.0759037 | + | 1.04360i | ||||
\(96\) | −4.14400 | − | 3.85062i | −0.422945 | − | 0.393002i | ||||
\(97\) | −7.28707 | − | 1.15416i | −0.739890 | − | 0.117187i | −0.224898 | − | 0.974382i | \(-0.572205\pi\) |
−0.514992 | + | 0.857195i | \(0.672205\pi\) | |||||||
\(98\) | −4.29185 | + | 0.851392i | −0.433542 | + | 0.0860035i | ||||
\(99\) | 1.23901 | 0.124526 | ||||||||
\(100\) | 0.676542 | − | 9.97709i | 0.0676542 | − | 0.997709i | ||||
\(101\) | −5.34748 | −0.532094 | −0.266047 | − | 0.963960i | \(-0.585718\pi\) | ||||
−0.266047 | + | 0.963960i | \(0.585718\pi\) | |||||||
\(102\) | −8.12806 | + | 1.61240i | −0.804798 | + | 0.159651i | ||||
\(103\) | −1.35980 | − | 0.215371i | −0.133985 | − | 0.0212212i | 0.0890816 | − | 0.996024i | \(-0.471607\pi\) |
−0.223067 | + | 0.974803i | \(0.571607\pi\) | |||||||
\(104\) | −8.03107 | + | 14.2884i | −0.787511 | + | 1.40109i | ||||
\(105\) | −4.09288 | − | 1.66694i | −0.399424 | − | 0.162676i | ||||
\(106\) | 0.0293521 | − | 0.00113802i | 0.00285093 | − | 0.000110534i | ||||
\(107\) | −4.98173 | + | 4.98173i | −0.481602 | + | 0.481602i | −0.905643 | − | 0.424041i | \(-0.860611\pi\) |
0.424041 | + | 0.905643i | \(0.360611\pi\) | |||||||
\(108\) | 1.99367 | + | 0.158983i | 0.191841 | + | 0.0152982i | ||||
\(109\) | 17.6116 | + | 5.72235i | 1.68688 | + | 0.548102i | 0.986227 | − | 0.165397i | \(-0.0528905\pi\) |
0.700657 | + | 0.713499i | \(0.252890\pi\) | |||||||
\(110\) | 1.89592 | − | 3.42885i | 0.180769 | − | 0.326928i | ||||
\(111\) | 4.16632 | − | 1.35372i | 0.395449 | − | 0.128489i | ||||
\(112\) | −0.0163767 | + | 7.90549i | −0.00154746 | + | 0.746999i | ||||
\(113\) | 3.70475 | + | 7.27098i | 0.348514 | + | 0.683997i | 0.997014 | − | 0.0772176i | \(-0.0246036\pi\) |
−0.648501 | + | 0.761214i | \(0.724604\pi\) | |||||||
\(114\) | −3.58629 | + | 5.36125i | −0.335887 | + | 0.502127i | ||||
\(115\) | 0.271375 | − | 0.0229790i | 0.0253058 | − | 0.00214280i | ||||
\(116\) | −9.14484 | − | 5.61700i | −0.849077 | − | 0.521525i | ||||
\(117\) | −0.906537 | − | 5.72365i | −0.0838094 | − | 0.529152i | ||||
\(118\) | 12.9229 | + | 1.53632i | 1.18965 | + | 0.141429i | ||||
\(119\) | 9.36873 | + | 6.80678i | 0.858830 | + | 0.623977i | ||||
\(120\) | 3.49066 | − | 5.27402i | 0.318652 | − | 0.481450i | ||||
\(121\) | −7.65722 | + | 5.56330i | −0.696111 | + | 0.505754i | ||||
\(122\) | −0.867051 | + | 0.484982i | −0.0784991 | + | 0.0439082i | ||||
\(123\) | −2.77636 | + | 5.44892i | −0.250336 | + | 0.491312i | ||||
\(124\) | 5.02994 | − | 20.8560i | 0.451702 | − | 1.87292i | ||||
\(125\) | 11.1285 | − | 1.07550i | 0.995362 | − | 0.0961953i | ||||
\(126\) | −1.72924 | − | 2.19587i | −0.154053 | − | 0.195624i | ||||
\(127\) | −5.50456 | − | 2.80471i | −0.488450 | − | 0.248878i | 0.192378 | − | 0.981321i | \(-0.438380\pi\) |
−0.680828 | + | 0.732443i | \(0.738380\pi\) | |||||||
\(128\) | −11.0882 | − | 2.24741i | −0.980072 | − | 0.198645i | ||||
\(129\) | 5.71591 | + | 7.86728i | 0.503258 | + | 0.692675i | ||||
\(130\) | −17.2268 | − | 6.24950i | −1.51089 | − | 0.548118i | ||||
\(131\) | 1.66608 | − | 2.29316i | 0.145566 | − | 0.200354i | −0.730008 | − | 0.683439i | \(-0.760484\pi\) |
0.875574 | + | 0.483085i | \(0.160484\pi\) | |||||||
\(132\) | 2.11421 | − | 1.29258i | 0.184018 | − | 0.112504i | ||||
\(133\) | 8.90317 | − | 1.41012i | 0.772003 | − | 0.122273i | ||||
\(134\) | 3.48941 | + | 9.47356i | 0.301439 | + | 0.818391i | ||||
\(135\) | 0.188666 | + | 2.22809i | 0.0162378 | + | 0.191764i | ||||
\(136\) | −12.1873 | + | 11.2308i | −1.04505 | + | 0.963031i | ||||
\(137\) | 7.68229 | − | 3.91432i | 0.656342 | − | 0.334423i | −0.0939045 | − | 0.995581i | \(-0.529935\pi\) |
0.750246 | + | 0.661158i | \(0.229935\pi\) | |||||||
\(138\) | 0.156387 | + | 0.0721938i | 0.0133126 | + | 0.00614554i | ||||
\(139\) | −3.17990 | − | 9.78673i | −0.269716 | − | 0.830100i | −0.990569 | − | 0.137012i | \(-0.956250\pi\) |
0.720854 | − | 0.693087i | \(-0.243750\pi\) | |||||||
\(140\) | −8.72293 | + | 1.42542i | −0.737222 | + | 0.120470i | ||||
\(141\) | 1.42575 | − | 4.38799i | 0.120069 | − | 0.369536i | ||||
\(142\) | 7.57565 | − | 8.18678i | 0.635734 | − | 0.687019i | ||||
\(143\) | −5.07708 | − | 5.07708i | −0.424567 | − | 0.424567i | ||||
\(144\) | 3.56778 | − | 1.80858i | 0.297315 | − | 0.150715i | ||||
\(145\) | 4.52591 | − | 11.1126i | 0.375856 | − | 0.922850i | ||||
\(146\) | 2.04535 | − | 7.23790i | 0.169274 | − | 0.599013i | ||||
\(147\) | 0.483998 | − | 3.05584i | 0.0399195 | − | 0.252042i | ||||
\(148\) | 5.69700 | − | 6.65636i | 0.468291 | − | 0.547149i | ||||
\(149\) | − | 21.2963i | − | 1.74466i | −0.488914 | − | 0.872332i | \(-0.662607\pi\) | ||
0.488914 | − | 0.872332i | \(-0.337393\pi\) | |||||||
\(150\) | 6.45473 | + | 2.88729i | 0.527027 | + | 0.235746i | ||||
\(151\) | 3.72566i | 0.303190i | 0.988443 | + | 0.151595i | \(0.0484409\pi\) | ||||
−0.988443 | + | 0.151595i | \(0.951559\pi\) | |||||||
\(152\) | −0.526490 | + | 12.8896i | −0.0427040 | + | 1.04548i | ||||
\(153\) | 0.916613 | − | 5.78726i | 0.0741037 | − | 0.467873i | ||||
\(154\) | −3.33256 | − | 0.941743i | −0.268545 | − | 0.0758878i | ||||
\(155\) | 23.9231 | + | 1.73999i | 1.92155 | + | 0.139760i | ||||
\(156\) | −7.51797 | − | 8.82089i | −0.601919 | − | 0.706236i | ||||
\(157\) | 9.67619 | + | 9.67619i | 0.772244 | + | 0.772244i | 0.978498 | − | 0.206254i | \(-0.0661274\pi\) |
−0.206254 | + | 0.978498i | \(0.566127\pi\) | |||||||
\(158\) | 13.0663 | + | 12.0910i | 1.03950 | + | 0.961904i | ||||
\(159\) | −0.00641848 | + | 0.0197541i | −0.000509019 | + | 0.00156660i | ||||
\(160\) | 0.454316 | − | 12.6409i | 0.0359168 | − | 0.999355i | ||||
\(161\) | −0.0743855 | − | 0.228935i | −0.00586240 | − | 0.0180426i | ||||
\(162\) | −0.592739 | + | 1.28400i | −0.0465700 | + | 0.100881i | ||||
\(163\) | 20.6862 | − | 10.5402i | 1.62027 | − | 0.825569i | 0.621148 | − | 0.783693i | \(-0.286666\pi\) |
0.999123 | − | 0.0418764i | \(-0.0133336\pi\) | |||||||
\(164\) | 0.946997 | + | 12.1942i | 0.0739480 | + | 0.952207i | ||||
\(165\) | 1.81178 | + | 2.09600i | 0.141047 | + | 0.163174i | ||||
\(166\) | 3.86464 | − | 1.42347i | 0.299955 | − | 0.110483i | ||||
\(167\) | −19.6135 | + | 3.10647i | −1.51773 | + | 0.240386i | −0.858995 | − | 0.511985i | \(-0.828910\pi\) |
−0.658740 | + | 0.752370i | \(0.728910\pi\) | |||||||
\(168\) | −5.24151 | − | 1.94295i | −0.404392 | − | 0.149902i | ||||
\(169\) | −12.0978 | + | 16.6512i | −0.930599 | + | 1.28086i | ||||
\(170\) | −14.6131 | − | 11.3922i | −1.12077 | − | 0.873745i | ||||
\(171\) | −2.68086 | − | 3.68988i | −0.205010 | − | 0.282173i | ||||
\(172\) | 17.9608 | + | 7.46141i | 1.36950 | + | 0.568927i | ||||
\(173\) | −0.813910 | − | 0.414708i | −0.0618804 | − | 0.0315297i | 0.422776 | − | 0.906234i | \(-0.361056\pi\) |
−0.484657 | + | 0.874704i | \(0.661056\pi\) | |||||||
\(174\) | 5.96202 | − | 4.69507i | 0.451979 | − | 0.355932i | ||||
\(175\) | −3.16501 | − | 9.36132i | −0.239252 | − | 0.707650i | ||||
\(176\) | 2.25915 | − | 4.41121i | 0.170290 | − | 0.332507i | ||||
\(177\) | −4.17773 | + | 8.19926i | −0.314017 | + | 0.616294i | ||||
\(178\) | 6.65160 | + | 11.8917i | 0.498559 | + | 0.891323i | ||||
\(179\) | 4.51834 | − | 3.28277i | 0.337717 | − | 0.245366i | −0.405981 | − | 0.913882i | \(-0.633070\pi\) |
0.743698 | + | 0.668516i | \(0.233070\pi\) | |||||||
\(180\) | 2.64635 | + | 3.60511i | 0.197247 | + | 0.268709i | ||||
\(181\) | −4.12766 | − | 2.99892i | −0.306807 | − | 0.222908i | 0.423718 | − | 0.905794i | \(-0.360725\pi\) |
−0.730525 | + | 0.682886i | \(0.760725\pi\) | |||||||
\(182\) | −1.91210 | + | 16.0839i | −0.141734 | + | 1.19222i | ||||
\(183\) | −0.109894 | − | 0.693841i | −0.00812357 | − | 0.0512902i | ||||
\(184\) | 0.342168 | − | 0.0399593i | 0.0252250 | − | 0.00294584i | ||||
\(185\) | 8.38235 | + | 5.06853i | 0.616282 | + | 0.372645i | ||||
\(186\) | 12.6092 | + | 8.43467i | 0.924554 | + | 0.618460i | ||||
\(187\) | −3.29592 | − | 6.46860i | −0.241021 | − | 0.473031i | ||||
\(188\) | −2.14485 | − | 8.97489i | −0.156429 | − | 0.654561i | ||||
\(189\) | 1.87965 | − | 0.610734i | 0.136724 | − | 0.0444244i | ||||
\(190\) | −14.3136 | + | 1.77280i | −1.03842 | + | 0.128613i | ||||
\(191\) | 2.86970 | + | 0.932423i | 0.207645 | + | 0.0674678i | 0.410992 | − | 0.911639i | \(-0.365182\pi\) |
−0.203348 | + | 0.979107i | \(0.565182\pi\) | |||||||
\(192\) | 4.20116 | − | 6.80810i | 0.303193 | − | 0.491332i | ||||
\(193\) | 10.1768 | − | 10.1768i | 0.732542 | − | 0.732542i | −0.238581 | − | 0.971123i | \(-0.576682\pi\) |
0.971123 | + | 0.238581i | \(0.0766822\pi\) | |||||||
\(194\) | −0.404235 | − | 10.4261i | −0.0290224 | − | 0.748550i | ||||
\(195\) | 8.35693 | − | 9.90312i | 0.598452 | − | 0.709177i | ||||
\(196\) | −2.36207 | − | 5.71929i | −0.168719 | − | 0.408521i | ||||
\(197\) | 0.100082 | + | 0.0158515i | 0.00713057 | + | 0.00112937i | 0.159999 | − | 0.987117i | \(-0.448851\pi\) |
−0.152868 | + | 0.988247i | \(0.548851\pi\) | |||||||
\(198\) | 0.340953 | + | 1.71874i | 0.0242305 | + | 0.122145i | ||||
\(199\) | −13.0628 | −0.926000 | −0.463000 | − | 0.886358i | \(-0.653227\pi\) | ||||
−0.463000 | + | 0.886358i | \(0.653227\pi\) | |||||||
\(200\) | 14.0262 | − | 1.80702i | 0.991803 | − | 0.127775i | ||||
\(201\) | −7.13878 | −0.503531 | ||||||||
\(202\) | −1.47153 | − | 7.41793i | −0.103536 | − | 0.521924i | ||||
\(203\) | −10.4748 | − | 1.65905i | −0.735187 | − | 0.116442i | ||||
\(204\) | −4.47338 | − | 10.8314i | −0.313199 | − | 0.758350i | ||||
\(205\) | −13.2776 | + | 3.27113i | −0.927346 | + | 0.228465i | ||||
\(206\) | −0.0754320 | − | 1.94556i | −0.00525560 | − | 0.135553i | ||||
\(207\) | −0.0861234 | + | 0.0861234i | −0.00598599 | + | 0.00598599i | ||||
\(208\) | −22.0306 | − | 7.20866i | −1.52755 | − | 0.499831i | ||||
\(209\) | −5.37450 | − | 1.74628i | −0.371762 | − | 0.120793i | ||||
\(210\) | 1.18606 | − | 6.13628i | 0.0818462 | − | 0.423443i | ||||
\(211\) | −26.4223 | + | 8.58513i | −1.81899 | + | 0.591025i | −0.819140 | + | 0.573594i | \(0.805549\pi\) |
−0.999848 | + | 0.0174306i | \(0.994451\pi\) | |||||||
\(212\) | 0.00965578 | + | 0.0404035i | 0.000663162 | + | 0.00277493i | ||||
\(213\) | 3.58068 | + | 7.02749i | 0.245344 | + | 0.481516i | ||||
\(214\) | −8.28144 | − | 5.53969i | −0.566108 | − | 0.378685i | ||||
\(215\) | −4.95061 | + | 21.1736i | −0.337629 | + | 1.44403i | ||||
\(216\) | 0.328082 | + | 2.80933i | 0.0223231 | + | 0.191151i | ||||
\(217\) | −3.31650 | − | 20.9396i | −0.225139 | − | 1.42147i | ||||
\(218\) | −3.09157 | + | 26.0052i | −0.209388 | + | 1.76129i | ||||
\(219\) | 4.30267 | + | 3.12607i | 0.290748 | + | 0.211241i | ||||
\(220\) | 5.27817 | + | 1.68644i | 0.355854 | + | 0.113700i | ||||
\(221\) | −27.4703 | + | 19.9584i | −1.84786 | + | 1.34255i | ||||
\(222\) | 3.02434 | + | 5.40692i | 0.202981 | + | 0.362889i | ||||
\(223\) | 5.31608 | − | 10.4334i | 0.355991 | − | 0.698672i | −0.641673 | − | 0.766978i | \(-0.721759\pi\) |
0.997664 | + | 0.0683061i | \(0.0217595\pi\) | |||||||
\(224\) | −10.9709 | + | 2.15272i | −0.733022 | + | 0.143835i | ||||
\(225\) | −3.49332 | + | 3.57725i | −0.232888 | + | 0.238483i | ||||
\(226\) | −9.06670 | + | 7.14000i | −0.603108 | + | 0.474946i | ||||
\(227\) | 7.65507 | + | 3.90045i | 0.508085 | + | 0.258882i | 0.689189 | − | 0.724582i | \(-0.257967\pi\) |
−0.181104 | + | 0.983464i | \(0.557967\pi\) | |||||||
\(228\) | −8.42391 | − | 3.49953i | −0.557887 | − | 0.231762i | ||||
\(229\) | −4.14701 | − | 5.70787i | −0.274042 | − | 0.377187i | 0.649707 | − | 0.760185i | \(-0.274892\pi\) |
−0.923749 | + | 0.382998i | \(0.874892\pi\) | |||||||
\(230\) | 0.106553 | + | 0.370123i | 0.00702591 | + | 0.0244052i | ||||
\(231\) | 1.43934 | − | 1.98109i | 0.0947019 | − | 0.130346i | ||||
\(232\) | 5.27532 | − | 14.2312i | 0.346342 | − | 0.934327i | ||||
\(233\) | 17.7542 | − | 2.81199i | 1.16312 | − | 0.184220i | 0.455117 | − | 0.890432i | \(-0.349597\pi\) |
0.708000 | + | 0.706212i | \(0.249597\pi\) | |||||||
\(234\) | 7.69029 | − | 2.83257i | 0.502730 | − | 0.185171i | ||||
\(235\) | 9.50787 | − | 4.00456i | 0.620225 | − | 0.261229i | ||||
\(236\) | 1.42499 | + | 18.3492i | 0.0927592 | + | 1.19443i | ||||
\(237\) | −11.2161 | + | 5.71488i | −0.728562 | + | 0.371221i | ||||
\(238\) | −6.86415 | + | 14.8692i | −0.444937 | + | 0.963830i | ||||
\(239\) | −3.97832 | − | 12.2440i | −0.257336 | − | 0.792000i | −0.993360 | − | 0.115045i | \(-0.963299\pi\) |
0.736024 | − | 0.676956i | \(-0.236701\pi\) | |||||||
\(240\) | 8.27659 | + | 3.39088i | 0.534252 | + | 0.218880i | ||||
\(241\) | 3.86025 | − | 11.8806i | 0.248661 | − | 0.765298i | −0.746352 | − | 0.665551i | \(-0.768197\pi\) |
0.995013 | − | 0.0997473i | \(-0.0318034\pi\) | |||||||
\(242\) | −9.82443 | − | 9.09105i | −0.631538 | − | 0.584395i | ||||
\(243\) | −0.707107 | − | 0.707107i | −0.0453609 | − | 0.0453609i | ||||
\(244\) | −0.911355 | − | 1.06930i | −0.0583435 | − | 0.0684549i | ||||
\(245\) | 5.87722 | − | 3.64972i | 0.375482 | − | 0.233172i | ||||
\(246\) | −8.32264 | − | 2.35188i | −0.530632 | − | 0.149950i | ||||
\(247\) | −4.13467 | + | 26.1053i | −0.263083 | + | 1.66104i | ||||
\(248\) | 30.3152 | + | 1.23826i | 1.92502 | + | 0.0786298i | ||||
\(249\) | 2.91219i | 0.184553i | ||||||||
\(250\) | 4.55426 | + | 15.1413i | 0.288037 | + | 0.957619i | ||||
\(251\) | − | 7.61447i | − | 0.480621i | −0.970696 | − | 0.240310i | \(-0.922751\pi\) | ||
0.970696 | − | 0.240310i | \(-0.0772492\pi\) | |||||||
\(252\) | 2.57022 | − | 3.00304i | 0.161909 | − | 0.189174i | ||||
\(253\) | −0.0236072 | + | 0.149050i | −0.00148417 | + | 0.00937070i | ||||
\(254\) | 2.37590 | − | 8.40763i | 0.149077 | − | 0.527541i | ||||
\(255\) | 11.1305 | − | 6.91197i | 0.697018 | − | 0.432844i | ||||
\(256\) | 0.0662898 | − | 15.9999i | 0.00414311 | − | 0.999991i | ||||
\(257\) | 2.44416 | + | 2.44416i | 0.152462 | + | 0.152462i | 0.779217 | − | 0.626755i | \(-0.215617\pi\) |
−0.626755 | + | 0.779217i | \(0.715617\pi\) | |||||||
\(258\) | −9.34044 | + | 10.0939i | −0.581510 | + | 0.628421i | ||||
\(259\) | 2.67546 | − | 8.23421i | 0.166245 | − | 0.511649i | ||||
\(260\) | 3.92871 | − | 25.6165i | 0.243648 | − | 1.58867i | ||||
\(261\) | 1.65821 | + | 5.10343i | 0.102640 | + | 0.315895i | ||||
\(262\) | 3.63950 | + | 1.68012i | 0.224849 | + | 0.103798i | ||||
\(263\) | −15.1052 | + | 7.69647i | −0.931424 | + | 0.474584i | −0.852752 | − | 0.522316i | \(-0.825068\pi\) |
−0.0786724 | + | 0.996901i | \(0.525068\pi\) | |||||||
\(264\) | 2.37483 | + | 2.57710i | 0.146161 | + | 0.158609i | ||||
\(265\) | −0.0428030 | + | 0.0180279i | −0.00262937 | + | 0.00110745i | ||||
\(266\) | 4.40608 | + | 11.9623i | 0.270154 | + | 0.733455i | ||||
\(267\) | −9.51614 | + | 1.50721i | −0.582378 | + | 0.0922397i | ||||
\(268\) | −12.1813 | + | 7.44739i | −0.744094 | + | 0.454922i | ||||
\(269\) | −8.95792 | + | 12.3295i | −0.546174 | + | 0.751744i | −0.989487 | − | 0.144623i | \(-0.953803\pi\) |
0.443313 | + | 0.896367i | \(0.353803\pi\) | |||||||
\(270\) | −3.03886 | + | 0.874844i | −0.184939 | + | 0.0532413i | ||||
\(271\) | 18.2940 | + | 25.1795i | 1.11128 | + | 1.52954i | 0.819519 | + | 0.573052i | \(0.194241\pi\) |
0.291759 | + | 0.956492i | \(0.405759\pi\) | |||||||
\(272\) | −18.9328 | − | 13.8155i | −1.14797 | − | 0.837690i | ||||
\(273\) | −10.2048 | − | 5.19960i | −0.617622 | − | 0.314694i | ||||
\(274\) | 7.54389 | + | 9.57959i | 0.455743 | + | 0.578724i | ||||
\(275\) | −0.896428 | + | 6.12987i | −0.0540566 | + | 0.369645i | ||||
\(276\) | −0.0571111 | + | 0.236804i | −0.00343768 | + | 0.0142539i | ||||
\(277\) | −3.66725 | + | 7.19739i | −0.220344 | + | 0.432449i | −0.974544 | − | 0.224195i | \(-0.928025\pi\) |
0.754200 | + | 0.656644i | \(0.228025\pi\) | |||||||
\(278\) | 12.7009 | − | 7.10423i | 0.761752 | − | 0.426083i | ||||
\(279\) | −8.67832 | + | 6.30517i | −0.519557 | + | 0.377480i | ||||
\(280\) | −4.37770 | − | 11.7080i | −0.261618 | − | 0.699690i | ||||
\(281\) | −7.55906 | − | 5.49198i | −0.450936 | − | 0.327624i | 0.339029 | − | 0.940776i | \(-0.389901\pi\) |
−0.789965 | + | 0.613152i | \(0.789901\pi\) | |||||||
\(282\) | 6.47929 | + | 0.770277i | 0.385836 | + | 0.0458693i | ||||
\(283\) | 2.54702 | + | 16.0813i | 0.151405 | + | 0.955933i | 0.940038 | + | 0.341069i | \(0.110789\pi\) |
−0.788633 | + | 0.614864i | \(0.789211\pi\) | |||||||
\(284\) | 13.4412 | + | 8.25596i | 0.797590 | + | 0.489901i | ||||
\(285\) | 2.32192 | − | 9.93076i | 0.137539 | − | 0.588247i | ||||
\(286\) | 5.64573 | − | 8.43996i | 0.333839 | − | 0.499065i | ||||
\(287\) | 5.48714 | + | 10.7691i | 0.323895 | + | 0.635681i | ||||
\(288\) | 3.49061 | + | 4.45148i | 0.205686 | + | 0.262306i | ||||
\(289\) | −16.4843 | + | 5.35607i | −0.969664 | + | 0.315063i | ||||
\(290\) | 16.6606 | + | 3.22028i | 0.978346 | + | 0.189102i | ||||
\(291\) | 7.01680 | + | 2.27990i | 0.411332 | + | 0.133650i | ||||
\(292\) | 10.6031 | + | 0.845536i | 0.620501 | + | 0.0494813i | ||||
\(293\) | −12.7759 | + | 12.7759i | −0.746377 | + | 0.746377i | −0.973797 | − | 0.227420i | \(-0.926971\pi\) |
0.227420 | + | 0.973797i | \(0.426971\pi\) | |||||||
\(294\) | 4.37220 | − | 0.169516i | 0.254992 | − | 0.00988639i | ||||
\(295\) | −19.9794 | + | 4.92223i | −1.16325 | + | 0.286583i | ||||
\(296\) | 10.8013 | + | 6.07108i | 0.627812 | + | 0.352874i | ||||
\(297\) | −1.22376 | − | 0.193825i | −0.0710097 | − | 0.0112468i | ||||
\(298\) | 29.5419 | − | 5.86035i | 1.71132 | − | 0.339481i | ||||
\(299\) | 0.705812 | 0.0408182 | ||||||||
\(300\) | −2.22897 | + | 9.74842i | −0.128690 | + | 0.562825i | ||||
\(301\) | 19.2193 | 1.10778 | ||||||||
\(302\) | −5.16817 | + | 1.02523i | −0.297395 | + | 0.0589954i | ||||
\(303\) | 5.28164 | + | 0.836530i | 0.303423 | + | 0.0480574i | ||||
\(304\) | −18.0251 | + | 2.81662i | −1.03381 | + | 0.161544i | ||||
\(305\) | 1.01306 | − | 1.20049i | 0.0580074 | − | 0.0687399i | ||||
\(306\) | 8.28023 | − | 0.321036i | 0.473349 | − | 0.0183524i | ||||
\(307\) | 0.652214 | − | 0.652214i | 0.0372238 | − | 0.0372238i | −0.688250 | − | 0.725474i | \(-0.741621\pi\) |
0.725474 | + | 0.688250i | \(0.241621\pi\) | |||||||
\(308\) | 0.389312 | − | 4.88202i | 0.0221831 | − | 0.278179i | ||||
\(309\) | 1.30937 | + | 0.425439i | 0.0744873 | + | 0.0242024i | ||||
\(310\) | 4.16949 | + | 33.6645i | 0.236811 | + | 1.91201i | ||||
\(311\) | 12.8402 | − | 4.17202i | 0.728098 | − | 0.236573i | 0.0785675 | − | 0.996909i | \(-0.474965\pi\) |
0.649531 | + | 0.760335i | \(0.274965\pi\) | |||||||
\(312\) | 10.1674 | − | 12.8561i | 0.575615 | − | 0.727835i | ||||
\(313\) | 6.05363 | + | 11.8809i | 0.342171 | + | 0.671549i | 0.996403 | − | 0.0847455i | \(-0.0270077\pi\) |
−0.654231 | + | 0.756295i | \(0.727008\pi\) | |||||||
\(314\) | −10.7599 | + | 16.0854i | −0.607219 | + | 0.907749i | ||||
\(315\) | 3.78172 | + | 2.28668i | 0.213076 | + | 0.128840i | ||||
\(316\) | −13.1767 | + | 21.4526i | −0.741250 | + | 1.20680i | ||||
\(317\) | −4.07058 | − | 25.7006i | −0.228627 | − | 1.44349i | −0.788562 | − | 0.614956i | \(-0.789174\pi\) |
0.559935 | − | 0.828536i | \(-0.310826\pi\) | |||||||
\(318\) | −0.0291687 | − | 0.00346767i | −0.00163570 | − | 0.000194457i | ||||
\(319\) | 5.37886 | + | 3.90797i | 0.301158 | + | 0.218804i | ||||
\(320\) | 17.6603 | − | 2.84833i | 0.987242 | − | 0.159227i | ||||
\(321\) | 5.69971 | − | 4.14108i | 0.318127 | − | 0.231133i | ||||
\(322\) | 0.297105 | − | 0.166185i | 0.0165570 | − | 0.00926112i | ||||
\(323\) | −12.1326 | + | 23.8116i | −0.675078 | + | 1.32492i | ||||
\(324\) | −1.94426 | − | 0.468905i | −0.108014 | − | 0.0260503i | ||||
\(325\) | 28.9729 | − | 0.343915i | 1.60713 | − | 0.0190770i | ||||
\(326\) | 20.3136 | + | 25.7951i | 1.12507 | + | 1.42866i | ||||
\(327\) | −16.4996 | − | 8.40696i | −0.912429 | − | 0.464906i | ||||
\(328\) | −16.6550 | + | 4.66927i | −0.919618 | + | 0.257817i | ||||
\(329\) | −5.35980 | − | 7.37713i | −0.295495 | − | 0.406714i | ||||
\(330\) | −2.40897 | + | 3.09005i | −0.132610 | + | 0.170102i | ||||
\(331\) | −2.57253 | + | 3.54078i | −0.141399 | + | 0.194619i | −0.873843 | − | 0.486208i | \(-0.838380\pi\) |
0.732444 | + | 0.680827i | \(0.238380\pi\) | |||||||
\(332\) | 3.03809 | + | 4.96926i | 0.166737 | + | 0.272723i | ||||
\(333\) | −4.32679 | + | 0.685296i | −0.237107 | + | 0.0375540i | ||||
\(334\) | −9.70649 | − | 26.3526i | −0.531115 | − | 1.44195i | ||||
\(335\) | −10.4389 | − | 12.0765i | −0.570336 | − | 0.659808i | ||||
\(336\) | 1.25287 | − | 7.80560i | 0.0683495 | − | 0.425830i | ||||
\(337\) | 18.8970 | − | 9.62852i | 1.02939 | − | 0.524499i | 0.144109 | − | 0.989562i | \(-0.453968\pi\) |
0.885278 | + | 0.465063i | \(0.153968\pi\) | |||||||
\(338\) | −26.4273 | − | 12.1997i | −1.43746 | − | 0.663579i | ||||
\(339\) | −2.52171 | − | 7.76102i | −0.136960 | − | 0.421521i | ||||
\(340\) | 11.7819 | − | 23.4060i | 0.638961 | − | 1.26937i | ||||
\(341\) | −4.10711 | + | 12.6404i | −0.222413 | + | 0.684515i | ||||
\(342\) | 4.38082 | − | 4.73423i | 0.236888 | − | 0.255998i | ||||
\(343\) | −14.1064 | − | 14.1064i | −0.761672 | − | 0.761672i | ||||
\(344\) | −5.40787 | + | 26.9681i | −0.291573 | + | 1.45402i | ||||
\(345\) | −0.271628 | − | 0.0197563i | −0.0146240 | − | 0.00106364i | ||||
\(346\) | 0.351303 | − | 1.24316i | 0.0188862 | − | 0.0668328i | ||||
\(347\) | 5.32267 | − | 33.6060i | 0.285736 | − | 1.80407i | −0.259457 | − | 0.965755i | \(-0.583544\pi\) |
0.545193 | − | 0.838311i | \(-0.316456\pi\) | |||||||
\(348\) | 8.15356 | + | 6.97841i | 0.437076 | + | 0.374082i | ||||
\(349\) | − | 30.3857i | − | 1.62651i | −0.581907 | − | 0.813255i | \(-0.697693\pi\) | ||
0.581907 | − | 0.813255i | \(-0.302307\pi\) | |||||||
\(350\) | 12.1149 | − | 6.96650i | 0.647570 | − | 0.372375i | ||||
\(351\) | 5.79500i | 0.309314i | ||||||||
\(352\) | 6.74083 | + | 1.91997i | 0.359287 | + | 0.102335i | ||||
\(353\) | −2.80838 | + | 17.7314i | −0.149475 | + | 0.943750i | 0.792939 | + | 0.609301i | \(0.208550\pi\) |
−0.942414 | + | 0.334448i | \(0.891450\pi\) | |||||||
\(354\) | −12.5235 | − | 3.53899i | −0.665616 | − | 0.188095i | ||||
\(355\) | −6.65225 | + | 16.3335i | −0.353065 | + | 0.866890i | ||||
\(356\) | −14.6656 | + | 12.4994i | −0.777276 | + | 0.662465i | ||||
\(357\) | −8.18857 | − | 8.18857i | −0.433385 | − | 0.433385i | ||||
\(358\) | 5.79716 | + | 5.36441i | 0.306390 | + | 0.283518i | ||||
\(359\) | −8.29609 | + | 25.5327i | −0.437851 | + | 1.34757i | 0.452286 | + | 0.891873i | \(0.350609\pi\) |
−0.890137 | + | 0.455694i | \(0.849391\pi\) | |||||||
\(360\) | −4.27272 | + | 4.66303i | −0.225192 | + | 0.245763i | ||||
\(361\) | 0.556924 | + | 1.71404i | 0.0293118 | + | 0.0902124i | ||||
\(362\) | 3.02420 | − | 6.55107i | 0.158948 | − | 0.344317i | ||||
\(363\) | 8.43324 | − | 4.29695i | 0.442630 | − | 0.225531i | ||||
\(364\) | −22.8374 | + | 1.77355i | −1.19701 | + | 0.0929591i | ||||
\(365\) | 1.00340 | + | 11.8499i | 0.0525205 | + | 0.620251i | ||||
\(366\) | 0.932244 | − | 0.343375i | 0.0487292 | − | 0.0179485i | ||||
\(367\) | 13.8004 | − | 2.18576i | 0.720373 | − | 0.114096i | 0.214525 | − | 0.976719i | \(-0.431180\pi\) |
0.505848 | + | 0.862623i | \(0.331180\pi\) | |||||||
\(368\) | 0.149589 | + | 0.463653i | 0.00779786 | + | 0.0241696i | ||||
\(369\) | 3.59458 | − | 4.94751i | 0.187126 | − | 0.257557i | ||||
\(370\) | −4.72431 | + | 13.0226i | −0.245605 | + | 0.677013i | ||||
\(371\) | 0.0241290 | + | 0.0332107i | 0.00125271 | + | 0.00172421i | ||||
\(372\) | −8.23061 | + | 19.8124i | −0.426737 | + | 1.02722i | ||||
\(373\) | −15.0990 | − | 7.69335i | −0.781799 | − | 0.398346i | 0.0170680 | − | 0.999854i | \(-0.494567\pi\) |
−0.798867 | + | 0.601508i | \(0.794567\pi\) | |||||||
\(374\) | 8.06616 | − | 6.35208i | 0.417091 | − | 0.328458i | ||||
\(375\) | −11.1597 | − | 0.678624i | −0.576286 | − | 0.0350440i | ||||
\(376\) | 11.8596 | − | 5.44502i | 0.611611 | − | 0.280805i | ||||
\(377\) | 14.1174 | − | 27.7070i | 0.727085 | − | 1.42699i | ||||
\(378\) | 1.36444 | + | 2.43935i | 0.0701794 | + | 0.125467i | ||||
\(379\) | −1.79232 | + | 1.30219i | −0.0920651 | + | 0.0668892i | −0.632866 | − | 0.774262i | \(-0.718121\pi\) |
0.540800 | + | 0.841151i | \(0.318121\pi\) | |||||||
\(380\) | −6.39803 | − | 19.3678i | −0.328212 | − | 0.993545i | ||||
\(381\) | 4.99803 | + | 3.63128i | 0.256057 | + | 0.186036i | ||||
\(382\) | −0.503753 | + | 4.23739i | −0.0257743 | + | 0.216804i | ||||
\(383\) | −3.80588 | − | 24.0294i | −0.194471 | − | 1.22784i | −0.870946 | − | 0.491378i | \(-0.836493\pi\) |
0.676475 | − | 0.736465i | \(-0.263507\pi\) | |||||||
\(384\) | 10.6002 | + | 3.95432i | 0.540937 | + | 0.201793i | ||||
\(385\) | 5.45607 | − | 0.461999i | 0.278067 | − | 0.0235456i | ||||
\(386\) | 16.9175 | + | 11.3166i | 0.861080 | + | 0.576000i | ||||
\(387\) | −4.41483 | − | 8.66458i | −0.224418 | − | 0.440446i | ||||
\(388\) | 14.3517 | − | 3.42981i | 0.728595 | − | 0.174122i | ||||
\(389\) | −25.8405 | + | 8.39608i | −1.31016 | + | 0.425698i | −0.879106 | − | 0.476626i | \(-0.841860\pi\) |
−0.431058 | + | 0.902324i | \(0.641860\pi\) | |||||||
\(390\) | 16.0371 | + | 8.86743i | 0.812070 | + | 0.449020i | ||||
\(391\) | 0.678728 | + | 0.220532i | 0.0343247 | + | 0.0111528i | ||||
\(392\) | 7.28371 | − | 4.85046i | 0.367883 | − | 0.244985i | ||||
\(393\) | −2.00429 | + | 2.00429i | −0.101103 | + | 0.101103i | ||||
\(394\) | 0.00555186 | + | 0.143195i | 0.000279698 | + | 0.00721404i | ||||
\(395\) | −26.0687 | − | 10.6172i | −1.31166 | − | 0.534209i | ||||
\(396\) | −2.29038 | + | 0.945929i | −0.115096 | + | 0.0475347i | ||||
\(397\) | −9.09792 | − | 1.44097i | −0.456611 | − | 0.0723201i | −0.0761078 | − | 0.997100i | \(-0.524249\pi\) |
−0.380504 | + | 0.924779i | \(0.624249\pi\) | |||||||
\(398\) | −3.59464 | − | 18.1205i | −0.180183 | − | 0.908300i | ||||
\(399\) | −9.01415 | −0.451272 | ||||||||
\(400\) | 6.36641 | + | 18.9597i | 0.318321 | + | 0.947983i | ||||
\(401\) | −29.1170 | −1.45404 | −0.727018 | − | 0.686619i | \(-0.759094\pi\) | ||||
−0.727018 | + | 0.686619i | \(0.759094\pi\) | |||||||
\(402\) | −1.96446 | − | 9.90279i | −0.0979782 | − | 0.493906i | ||||
\(403\) | 61.3975 | + | 9.72441i | 3.05843 | + | 0.484408i | ||||
\(404\) | 9.88509 | − | 4.08255i | 0.491802 | − | 0.203114i | ||||
\(405\) | 0.162207 | − | 2.23018i | 0.00806014 | − | 0.110818i | ||||
\(406\) | −0.581067 | − | 14.9870i | −0.0288379 | − | 0.743792i | ||||
\(407\) | −3.83802 | + | 3.83802i | −0.190244 | + | 0.190244i | ||||
\(408\) | 13.7941 | − | 9.18599i | 0.682912 | − | 0.454774i | ||||
\(409\) | 15.5052 | + | 5.03794i | 0.766682 | + | 0.249110i | 0.666144 | − | 0.745823i | \(-0.267944\pi\) |
0.100538 | + | 0.994933i | \(0.467944\pi\) | |||||||
\(410\) | −8.19139 | − | 17.5183i | −0.404544 | − | 0.865166i | ||||
\(411\) | −8.20004 | + | 2.66435i | −0.404478 | + | 0.131423i | ||||
\(412\) | 2.67809 | − | 0.640019i | 0.131940 | − | 0.0315314i | ||||
\(413\) | 8.25677 | + | 16.2048i | 0.406289 | + | 0.797387i | ||||
\(414\) | −0.143168 | − | 0.0957693i | −0.00703634 | − | 0.00470680i | ||||
\(415\) | −4.92647 | + | 4.25843i | −0.241831 | + | 0.209038i | ||||
\(416\) | 3.93733 | − | 32.5441i | 0.193044 | − | 1.59561i | ||||
\(417\) | 1.60977 | + | 10.1637i | 0.0788308 | + | 0.497718i | ||||
\(418\) | 0.943449 | − | 7.93595i | 0.0461456 | − | 0.388160i | ||||
\(419\) | 12.1001 | + | 8.79126i | 0.591130 | + | 0.429481i | 0.842720 | − | 0.538353i | \(-0.180953\pi\) |
−0.251589 | + | 0.967834i | \(0.580953\pi\) | |||||||
\(420\) | 8.83852 | − | 0.0433006i | 0.431276 | − | 0.00211285i | ||||
\(421\) | 8.70096 | − | 6.32162i | 0.424059 | − | 0.308097i | −0.355210 | − | 0.934787i | \(-0.615591\pi\) |
0.779269 | + | 0.626690i | \(0.215591\pi\) | |||||||
\(422\) | −19.1801 | − | 34.2901i | −0.933671 | − | 1.66922i | ||||
\(423\) | −2.09463 | + | 4.11093i | −0.101844 | + | 0.199880i | ||||
\(424\) | −0.0533900 | + | 0.0245126i | −0.00259285 | + | 0.00119044i | ||||
\(425\) | 27.9686 | + | 8.72192i | 1.35668 | + | 0.423075i | ||||
\(426\) | −8.76307 | + | 6.90089i | −0.424572 | + | 0.334349i | ||||
\(427\) | −1.23706 | − | 0.630314i | −0.0598656 | − | 0.0305030i | ||||
\(428\) | 5.40566 | − | 13.0123i | 0.261293 | − | 0.628973i | ||||
\(429\) | 4.22035 | + | 5.80881i | 0.203760 | + | 0.280452i | ||||
\(430\) | −30.7339 | − | 1.04083i | −1.48212 | − | 0.0501934i | ||||
\(431\) | 3.12873 | − | 4.30632i | 0.150705 | − | 0.207428i | −0.726989 | − | 0.686649i | \(-0.759081\pi\) |
0.877694 | + | 0.479221i | \(0.159081\pi\) | |||||||
\(432\) | −3.80678 | + | 1.22818i | −0.183154 | + | 0.0590911i | ||||
\(433\) | −10.9195 | + | 1.72947i | −0.524755 | + | 0.0831131i | −0.413191 | − | 0.910644i | \(-0.635586\pi\) |
−0.111564 | + | 0.993757i | \(0.535586\pi\) | |||||||
\(434\) | 28.1344 | − | 10.3628i | 1.35049 | − | 0.497428i | ||||
\(435\) | −6.20858 | + | 10.2678i | −0.297678 | + | 0.492302i | ||||
\(436\) | −36.9247 | + | 2.86755i | −1.76837 | + | 0.137331i | ||||
\(437\) | 0.494962 | − | 0.252196i | 0.0236772 | − | 0.0120642i | ||||
\(438\) | −3.15242 | + | 6.82883i | −0.150629 | + | 0.326294i | ||||
\(439\) | 3.08468 | + | 9.49368i | 0.147224 | + | 0.453109i | 0.997290 | − | 0.0735669i | \(-0.0234383\pi\) |
−0.850066 | + | 0.526676i | \(0.823438\pi\) | |||||||
\(440\) | −0.886946 | + | 7.78586i | −0.0422835 | + | 0.371176i | ||||
\(441\) | −0.956078 | + | 2.94251i | −0.0455275 | + | 0.140119i | ||||
\(442\) | −35.2452 | − | 32.6142i | −1.67644 | − | 1.55130i | ||||
\(443\) | −18.8815 | − | 18.8815i | −0.897089 | − | 0.897089i | 0.0980884 | − | 0.995178i | \(-0.468727\pi\) |
−0.995178 | + | 0.0980884i | \(0.968727\pi\) | |||||||
\(444\) | −6.66815 | + | 5.68320i | −0.316456 | + | 0.269713i | ||||
\(445\) | −16.4649 | − | 13.8942i | −0.780512 | − | 0.658649i | ||||
\(446\) | 15.9359 | + | 4.50330i | 0.754587 | + | 0.213238i | ||||
\(447\) | −3.33148 | + | 21.0341i | −0.157574 | + | 0.994881i | ||||
\(448\) | −6.00519 | − | 14.6262i | −0.283719 | − | 0.691023i | ||||
\(449\) | − | 37.5326i | − | 1.77127i | −0.464381 | − | 0.885635i | \(-0.653723\pi\) | ||
0.464381 | − | 0.885635i | \(-0.346277\pi\) | |||||||
\(450\) | −5.92359 | − | 3.86148i | −0.279241 | − | 0.182032i | ||||
\(451\) | − | 7.57714i | − | 0.356794i | ||||||
\(452\) | −12.3995 | − | 10.6124i | −0.583222 | − | 0.499164i | ||||
\(453\) | 0.582821 | − | 3.67979i | 0.0273833 | − | 0.172892i | ||||
\(454\) | −3.30411 | + | 11.6923i | −0.155070 | + | 0.548747i | ||||
\(455\) | −6.12620 | − | 24.8664i | −0.287201 | − | 1.16575i | ||||
\(456\) | 2.53638 | − | 12.6485i | 0.118777 | − | 0.592321i | ||||
\(457\) | −5.19425 | − | 5.19425i | −0.242977 | − | 0.242977i | 0.575104 | − | 0.818081i | \(-0.304962\pi\) |
−0.818081 | + | 0.575104i | \(0.804962\pi\) | |||||||
\(458\) | 6.77668 | − | 7.32336i | 0.316654 | − | 0.342198i | ||||
\(459\) | −1.81066 | + | 5.57262i | −0.0845141 | + | 0.260108i | ||||
\(460\) | −0.484107 | + | 0.249660i | −0.0225716 | + | 0.0116404i | ||||
\(461\) | −0.978097 | − | 3.01027i | −0.0455545 | − | 0.140202i | 0.925692 | − | 0.378278i | \(-0.123484\pi\) |
−0.971247 | + | 0.238075i | \(0.923484\pi\) | |||||||
\(462\) | 3.14421 | + | 1.45148i | 0.146282 | + | 0.0675288i | ||||
\(463\) | −13.3799 | + | 6.81738i | −0.621815 | + | 0.316830i | −0.736362 | − | 0.676587i | \(-0.763458\pi\) |
0.114548 | + | 0.993418i | \(0.463458\pi\) | |||||||
\(464\) | 21.1930 | + | 3.40166i | 0.983861 | + | 0.157918i | ||||
\(465\) | −23.3564 | − | 5.46097i | −1.08312 | − | 0.253246i | ||||
\(466\) | 8.78637 | + | 23.8545i | 0.407021 | + | 1.10504i | ||||
\(467\) | 28.7602 | − | 4.55517i | 1.33086 | − | 0.210788i | 0.549830 | − | 0.835276i | \(-0.314692\pi\) |
0.781034 | + | 0.624488i | \(0.214692\pi\) | |||||||
\(468\) | 6.04552 | + | 9.88836i | 0.279454 | + | 0.457090i | ||||
\(469\) | −8.29302 | + | 11.4144i | −0.382936 | + | 0.527066i | ||||
\(470\) | 8.17145 | + | 12.0872i | 0.376921 | + | 0.557540i | ||||
\(471\) | −8.04337 | − | 11.0708i | −0.370619 | − | 0.510113i | ||||
\(472\) | −25.0616 | + | 7.02609i | −1.15355 | + | 0.323402i | ||||
\(473\) | −10.7355 | − | 5.47003i | −0.493621 | − | 0.251512i | ||||
\(474\) | −11.0140 | − | 13.9861i | −0.505891 | − | 0.642404i | ||||
\(475\) | 20.1949 | − | 10.5936i | 0.926603 | − | 0.486067i | ||||
\(476\) | −22.5152 | − | 5.43010i | −1.03198 | − | 0.248888i | ||||
\(477\) | 0.00942968 | − | 0.0185068i | 0.000431755 | − | 0.000847368i | ||||
\(478\) | 15.8899 | − | 8.88799i | 0.726789 | − | 0.406527i | ||||
\(479\) | 28.4711 | − | 20.6854i | 1.30088 | − | 0.945142i | 0.300913 | − | 0.953652i | \(-0.402709\pi\) |
0.999964 | + | 0.00850960i | \(0.00270872\pi\) | |||||||
\(480\) | −2.42620 | + | 12.4142i | −0.110740 | + | 0.566630i | ||||
\(481\) | 20.5379 | + | 14.9217i | 0.936449 | + | 0.680370i | ||||
\(482\) | 17.5429 | + | 2.08555i | 0.799056 | + | 0.0949941i | ||||
\(483\) | 0.0376563 | + | 0.237753i | 0.00171342 | + | 0.0108181i | ||||
\(484\) | 9.90745 | − | 16.1300i | 0.450339 | − | 0.733180i | ||||
\(485\) | 6.40366 | + | 15.2040i | 0.290775 | + | 0.690376i | ||||
\(486\) | 0.786304 | − | 1.17547i | 0.0356675 | − | 0.0533203i | ||||
\(487\) | 1.88944 | + | 3.70823i | 0.0856186 | + | 0.168036i | 0.929846 | − | 0.367950i | \(-0.119940\pi\) |
−0.844227 | + | 0.535986i | \(0.819940\pi\) | |||||||
\(488\) | 1.23253 | − | 1.55847i | 0.0557939 | − | 0.0705485i | ||||
\(489\) | −22.0804 | + | 7.17436i | −0.998510 | + | 0.324436i | ||||
\(490\) | 6.68012 | + | 7.14844i | 0.301777 | + | 0.322934i | ||||
\(491\) | −38.8459 | − | 12.6218i | −1.75309 | − | 0.569614i | −0.756645 | − | 0.653826i | \(-0.773163\pi\) |
−0.996448 | + | 0.0842114i | \(0.973163\pi\) | |||||||
\(492\) | 0.972256 | − | 12.1922i | 0.0438327 | − | 0.549668i | ||||
\(493\) | 22.2328 | − | 22.2328i | 1.00132 | − | 1.00132i | ||||
\(494\) | −37.3506 | + | 1.44813i | −1.68048 | + | 0.0651546i | ||||
\(495\) | −1.46159 | − | 2.35362i | −0.0656934 | − | 0.105788i | ||||
\(496\) | 6.62448 | + | 42.3935i | 0.297448 | + | 1.90352i | ||||
\(497\) | 15.3960 | + | 2.43849i | 0.690607 | + | 0.109381i | ||||
\(498\) | −4.03974 | + | 0.801380i | −0.181025 | + | 0.0359107i | ||||
\(499\) | −26.9181 | −1.20502 | −0.602510 | − | 0.798111i | \(-0.705833\pi\) | ||||
−0.602510 | + | 0.798111i | \(0.705833\pi\) | |||||||
\(500\) | −19.7505 | + | 10.4842i | −0.883269 | + | 0.468867i | ||||
\(501\) | 19.8579 | 0.887187 | ||||||||
\(502\) | 10.5627 | − | 2.09536i | 0.471434 | − | 0.0935203i | ||||
\(503\) | 15.6815 | + | 2.48371i | 0.699205 | + | 0.110743i | 0.495909 | − | 0.868374i | \(-0.334835\pi\) |
0.203296 | + | 0.979117i | \(0.434835\pi\) | |||||||
\(504\) | 4.87304 | + | 2.73899i | 0.217062 | + | 0.122004i | ||||
\(505\) | 6.30809 | + | 10.1580i | 0.280706 | + | 0.452027i | ||||
\(506\) | −0.213256 | + | 0.00826823i | −0.00948038 | + | 0.000367568i | ||||
\(507\) | 14.5537 | − | 14.5537i | 0.646351 | − | 0.646351i | ||||
\(508\) | 12.3167 | + | 0.982184i | 0.546466 | + | 0.0435774i | ||||
\(509\) | −16.5749 | − | 5.38552i | −0.734670 | − | 0.238709i | −0.0822982 | − | 0.996608i | \(-0.526226\pi\) |
−0.652372 | + | 0.757899i | \(0.726226\pi\) | |||||||
\(510\) | 12.6511 | + | 13.5380i | 0.560198 | + | 0.599472i | ||||
\(511\) | 9.99670 | − | 3.24813i | 0.442228 | − | 0.143689i | ||||
\(512\) | 22.2130 | − | 4.31090i | 0.981684 | − | 0.190517i | ||||
\(513\) | 2.07063 | + | 4.06383i | 0.0914204 | + | 0.179423i | ||||
\(514\) | −2.71791 | + | 4.06308i | −0.119882 | + | 0.179215i | ||||
\(515\) | 1.19495 | + | 2.83713i | 0.0526559 | + | 0.125019i | ||||
\(516\) | −16.5724 | − | 10.1792i | −0.729561 | − | 0.448116i | ||||
\(517\) | 0.894269 | + | 5.64620i | 0.0393299 | + | 0.248319i | ||||
\(518\) | 12.1586 | + | 1.44545i | 0.534218 | + | 0.0635094i | ||||
\(519\) | 0.739015 | + | 0.536926i | 0.0324392 | + | 0.0235684i | ||||
\(520\) | 36.6159 | − | 1.59934i | 1.60571 | − | 0.0701356i | ||||
\(521\) | 33.3910 | − | 24.2600i | 1.46289 | − | 1.06285i | 0.480286 | − | 0.877112i | \(-0.340533\pi\) |
0.982600 | − | 0.185737i | \(-0.0594672\pi\) | |||||||
\(522\) | −6.62309 | + | 3.70460i | −0.289885 | + | 0.162146i | ||||
\(523\) | −13.4688 | + | 26.4340i | −0.588950 | + | 1.15588i | 0.383668 | + | 0.923471i | \(0.374661\pi\) |
−0.972618 | + | 0.232409i | \(0.925339\pi\) | |||||||
\(524\) | −1.32911 | + | 5.51099i | −0.0580624 | + | 0.240749i | ||||
\(525\) | 1.66161 | + | 9.74119i | 0.0725184 | + | 0.425140i | ||||
\(526\) | −14.8331 | − | 18.8357i | −0.646752 | − | 0.821275i | ||||
\(527\) | 56.0031 | + | 28.5350i | 2.43953 | + | 1.24300i | ||||
\(528\) | −2.92140 | + | 4.00349i | −0.127137 | + | 0.174230i | ||||
\(529\) | 13.5103 | + | 18.5954i | 0.587406 | + | 0.808495i | ||||
\(530\) | −0.0367866 | − | 0.0544146i | −0.00159791 | − | 0.00236362i | ||||
\(531\) | 5.40894 | − | 7.44477i | 0.234728 | − | 0.323075i | ||||
\(532\) | −15.3814 | + | 9.40384i | −0.666869 | + | 0.407708i | ||||
\(533\) | −35.0028 | + | 5.54389i | −1.51614 | + | 0.240133i | ||||
\(534\) | −4.70943 | − | 12.7859i | −0.203797 | − | 0.553299i | ||||
\(535\) | 15.3399 | + | 3.58663i | 0.663201 | + | 0.155064i | ||||
\(536\) | −13.6830 | − | 14.8484i | −0.591014 | − | 0.641352i | ||||
\(537\) | −4.97625 | + | 2.53553i | −0.214741 | + | 0.109416i | ||||
\(538\) | −19.5683 | − | 9.03342i | −0.843651 | − | 0.389458i | ||||
\(539\) | 1.18459 | + | 3.64581i | 0.0510241 | + | 0.157036i | ||||
\(540\) | −2.04980 | − | 3.97471i | −0.0882095 | − | 0.171044i | ||||
\(541\) | −1.34195 | + | 4.13009i | −0.0576948 | + | 0.177566i | −0.975751 | − | 0.218884i | \(-0.929758\pi\) |
0.918056 | + | 0.396451i | \(0.129758\pi\) | |||||||
\(542\) | −29.8944 | + | 32.3060i | −1.28407 | + | 1.38766i | ||||
\(543\) | 3.60771 | + | 3.60771i | 0.154822 | + | 0.154822i | ||||
\(544\) | 13.9547 | − | 30.0651i | 0.598303 | − | 1.28903i | ||||
\(545\) | −9.90513 | − | 40.2052i | −0.424289 | − | 1.72220i | ||||
\(546\) | 4.40463 | − | 15.5867i | 0.188501 | − | 0.667050i | ||||
\(547\) | 2.17145 | − | 13.7100i | 0.0928447 | − | 0.586198i | −0.896775 | − | 0.442487i | \(-0.854096\pi\) |
0.989620 | − | 0.143711i | \(-0.0459037\pi\) | |||||||
\(548\) | −11.2127 | + | 13.1009i | −0.478983 | + | 0.559642i | ||||
\(549\) | 0.702490i | 0.0299815i | ||||||||
\(550\) | −8.74993 | + | 0.443315i | −0.373098 | + | 0.0189030i | ||||
\(551\) | − | 24.4744i | − | 1.04264i | ||||||
\(552\) | −0.344206 | − | 0.0140595i | −0.0146504 | − | 0.000598414i | ||||
\(553\) | −3.89191 | + | 24.5725i | −0.165501 | + | 1.04493i | ||||
\(554\) | −10.9933 | − | 3.10656i | −0.467058 | − | 0.131985i | ||||
\(555\) | −7.48625 | − | 6.31741i | −0.317774 | − | 0.268159i | ||||
\(556\) | 13.3499 | + | 15.6636i | 0.566163 | + | 0.664283i | ||||
\(557\) | 16.1147 | + | 16.1147i | 0.682801 | + | 0.682801i | 0.960630 | − | 0.277830i | \(-0.0896150\pi\) |
−0.277830 | + | 0.960630i | \(0.589615\pi\) | |||||||
\(558\) | −11.1345 | − | 10.3033i | −0.471362 | − | 0.436175i | ||||
\(559\) | −17.4142 | + | 53.5952i | −0.736540 | + | 2.26684i | ||||
\(560\) | 15.0365 | − | 9.29450i | 0.635410 | − | 0.392764i | ||||
\(561\) | 2.24343 | + | 6.90456i | 0.0947176 | + | 0.291511i | ||||
\(562\) | 5.53827 | − | 11.9971i | 0.233618 | − | 0.506066i | ||||
\(563\) | 19.6615 | − | 10.0181i | 0.828635 | − | 0.422211i | 0.0123950 | − | 0.999923i | \(-0.496054\pi\) |
0.816240 | + | 0.577712i | \(0.196054\pi\) | |||||||
\(564\) | 0.714462 | + | 9.19992i | 0.0300843 | + | 0.387386i | ||||
\(565\) | 9.44166 | − | 15.6146i | 0.397213 | − | 0.656913i | ||||
\(566\) | −21.6068 | + | 7.95845i | −0.908200 | + | 0.334519i | ||||
\(567\) | −1.95204 | + | 0.309174i | −0.0819782 | + | 0.0129841i | ||||
\(568\) | −7.75375 | + | 20.9173i | −0.325340 | + | 0.877672i | ||||
\(569\) | 1.69582 | − | 2.33410i | 0.0710926 | − | 0.0978505i | −0.771990 | − | 0.635635i | \(-0.780738\pi\) |
0.843083 | + | 0.537784i | \(0.180738\pi\) | |||||||
\(570\) | 14.4147 | + | 0.488168i | 0.603766 | + | 0.0204471i | ||||
\(571\) | −9.81495 | − | 13.5091i | −0.410743 | − | 0.565339i | 0.552657 | − | 0.833409i | \(-0.313614\pi\) |
−0.963399 | + | 0.268070i | \(0.913614\pi\) | |||||||
\(572\) | 13.2614 | + | 5.50914i | 0.554485 | + | 0.230349i | ||||
\(573\) | −2.68851 | − | 1.36986i | −0.112314 | − | 0.0572269i | ||||
\(574\) | −13.4288 | + | 10.5751i | −0.560506 | + | 0.441397i | ||||
\(575\) | −0.363774 | − | 0.488395i | −0.0151704 | − | 0.0203675i | ||||
\(576\) | −5.21446 | + | 6.06707i | −0.217269 | + | 0.252795i | ||||
\(577\) | −18.6192 | + | 36.5421i | −0.775126 | + | 1.52127i | 0.0764710 | + | 0.997072i | \(0.475635\pi\) |
−0.851597 | + | 0.524198i | \(0.824365\pi\) | |||||||
\(578\) | −11.9660 | − | 21.3928i | −0.497720 | − | 0.889824i | ||||
\(579\) | −11.6435 | + | 8.45950i | −0.483888 | + | 0.351565i | ||||
\(580\) | 0.117566 | + | 23.9975i | 0.00488165 | + | 0.996442i | ||||
\(581\) | 4.65637 | + | 3.38305i | 0.193179 | + | 0.140353i | ||||
\(582\) | −1.23174 | + | 10.3610i | −0.0510574 | + | 0.429476i | ||||
\(583\) | −0.00402586 | − | 0.0254183i | −0.000166734 | − | 0.00105272i | ||||
\(584\) | 1.74487 | + | 14.9412i | 0.0722031 | + | 0.618269i | ||||
\(585\) | −9.80323 | + | 8.47388i | −0.405314 | + | 0.350352i | ||||
\(586\) | −21.2382 | − | 14.2068i | −0.877343 | − | 0.586879i | ||||
\(587\) | −11.6401 | − | 22.8450i | −0.480439 | − | 0.942915i | −0.996275 | − | 0.0862280i | \(-0.972519\pi\) |
0.515836 | − | 0.856687i | \(-0.327481\pi\) | |||||||
\(588\) | 1.43830 | + | 6.01839i | 0.0593143 | + | 0.248194i | ||||
\(589\) | 46.5307 | − | 15.1187i | 1.91726 | − | 0.622956i | ||||
\(590\) | −12.3260 | − | 26.3606i | −0.507453 | − | 1.08525i | ||||
\(591\) | −0.0963705 | − | 0.0313127i | −0.00396415 | − | 0.00128803i | ||||
\(592\) | −5.44938 | + | 16.6540i | −0.223968 | + | 0.684476i | ||||
\(593\) | 5.99382 | − | 5.99382i | 0.246137 | − | 0.246137i | −0.573246 | − | 0.819383i | \(-0.694316\pi\) |
0.819383 | + | 0.573246i | \(0.194316\pi\) | |||||||
\(594\) | −0.0678855 | − | 1.75092i | −0.00278537 | − | 0.0718409i | ||||
\(595\) | 1.87842 | − | 25.8263i | 0.0770078 | − | 1.05878i | ||||
\(596\) | 16.2587 | + | 39.3674i | 0.665984 | + | 1.61255i | ||||
\(597\) | 12.9020 | + | 2.04348i | 0.528044 | + | 0.0836339i | ||||
\(598\) | 0.194226 | + | 0.979090i | 0.00794249 | + | 0.0400380i | ||||
\(599\) | 0.175663 | 0.00717738 | 0.00358869 | − | 0.999994i | \(-0.498858\pi\) | ||||
0.00358869 | + | 0.999994i | \(0.498858\pi\) | |||||||
\(600\) | −14.1362 | − | 0.409413i | −0.577108 | − | 0.0167142i | ||||
\(601\) | 11.4170 | 0.465710 | 0.232855 | − | 0.972511i | \(-0.425193\pi\) | ||||
0.232855 | + | 0.972511i | \(0.425193\pi\) | |||||||
\(602\) | 5.28878 | + | 26.6606i | 0.215554 | + | 1.08661i | ||||
\(603\) | 7.05089 | + | 1.11675i | 0.287134 | + | 0.0454776i | ||||
\(604\) | −2.84436 | − | 6.88707i | −0.115735 | − | 0.280231i | ||||
\(605\) | 19.6007 | + | 7.98294i | 0.796883 | + | 0.324553i | ||||
\(606\) | 0.292988 | + | 7.55680i | 0.0119018 | + | 0.306974i | ||||
\(607\) | 10.6407 | − | 10.6407i | 0.431893 | − | 0.431893i | −0.457379 | − | 0.889272i | \(-0.651212\pi\) |
0.889272 | + | 0.457379i | \(0.151212\pi\) | |||||||
\(608\) | −8.86732 | − | 24.2290i | −0.359617 | − | 0.982614i | ||||
\(609\) | 10.0863 | + | 3.27724i | 0.408718 | + | 0.132800i | ||||
\(610\) | 1.94407 | + | 1.07494i | 0.0787133 | + | 0.0435231i | ||||
\(611\) | 25.4284 | − | 8.26219i | 1.02872 | − | 0.334252i | ||||
\(612\) | 2.72390 | + | 11.3978i | 0.110107 | + | 0.460730i | ||||
\(613\) | 0.467306 | + | 0.917140i | 0.0188743 | + | 0.0370429i | 0.900251 | − | 0.435371i | \(-0.143383\pi\) |
−0.881377 | + | 0.472414i | \(0.843383\pi\) | |||||||
\(614\) | 1.08422 | + | 0.725263i | 0.0437554 | + | 0.0292692i | ||||
\(615\) | 13.6258 | − | 1.15378i | 0.549446 | − | 0.0465250i | ||||
\(616\) | 6.87939 | − | 0.803393i | 0.277178 | − | 0.0323696i | ||||
\(617\) | 6.87162 | + | 43.3857i | 0.276641 | + | 1.74664i | 0.599665 | + | 0.800251i | \(0.295300\pi\) |
−0.323024 | + | 0.946391i | \(0.604700\pi\) | |||||||
\(618\) | −0.229849 | + | 1.93340i | −0.00924588 | + | 0.0777729i | ||||
\(619\) | −15.7867 | − | 11.4697i | −0.634520 | − | 0.461006i | 0.223443 | − | 0.974717i | \(-0.428270\pi\) |
−0.857963 | + | 0.513711i | \(0.828270\pi\) | |||||||
\(620\) | −45.5514 | + | 15.0477i | −1.82939 | + | 0.604329i | ||||
\(621\) | 0.0985357 | − | 0.0715904i | 0.00395410 | − | 0.00287282i | ||||
\(622\) | 9.32072 | + | 16.6636i | 0.373727 | + | 0.668149i | ||||
\(623\) | −8.64485 | + | 16.9665i | −0.346349 | + | 0.679747i | ||||
\(624\) | 20.6317 | + | 10.5663i | 0.825928 | + | 0.422989i | ||||
\(625\) | −15.1706 | − | 19.8709i | −0.606823 | − | 0.794837i | ||||
\(626\) | −14.8152 | + | 11.6669i | −0.592133 | + | 0.466303i | ||||
\(627\) | 5.03515 | + | 2.56554i | 0.201084 | + | 0.102458i | ||||
\(628\) | −25.2743 | − | 10.4996i | −1.00855 | − | 0.418980i | ||||
\(629\) | 15.0875 | + | 20.7662i | 0.601579 | + | 0.828002i | ||||
\(630\) | −2.13139 | + | 5.87519i | −0.0849165 | + | 0.234073i | ||||
\(631\) | 19.8296 | − | 27.2931i | 0.789403 | − | 1.08652i | −0.204779 | − | 0.978808i | \(-0.565647\pi\) |
0.994182 | − | 0.107712i | \(-0.0343525\pi\) | |||||||
\(632\) | −33.3847 | − | 12.3752i | −1.32797 | − | 0.492259i | ||||
\(633\) | 27.4400 | − | 4.34607i | 1.09064 | − | 0.172741i | ||||
\(634\) | 34.5313 | − | 12.7190i | 1.37141 | − | 0.505135i | ||||
\(635\) | 1.16556 | + | 13.7650i | 0.0462540 | + | 0.546246i | ||||
\(636\) | −0.00321640 | − | 0.0414166i | −0.000127538 | − | 0.00164228i | ||||
\(637\) | 15.9752 | − | 8.13975i | 0.632958 | − | 0.322508i | ||||
\(638\) | −3.94091 | + | 8.53686i | −0.156022 | + | 0.337977i | ||||
\(639\) | −2.43726 | − | 7.50111i | −0.0964165 | − | 0.296739i | ||||
\(640\) | 8.81094 | + | 23.7143i | 0.348283 | + | 0.937389i | ||||
\(641\) | −6.34839 | + | 19.5383i | −0.250746 | + | 0.771718i | 0.743892 | + | 0.668300i | \(0.232978\pi\) |
−0.994638 | + | 0.103418i | \(0.967022\pi\) | |||||||
\(642\) | 7.31288 | + | 6.76699i | 0.288617 | + | 0.267072i | ||||
\(643\) | −7.64052 | − | 7.64052i | −0.301313 | − | 0.301313i | 0.540215 | − | 0.841527i | \(-0.318343\pi\) |
−0.841527 | + | 0.540215i | \(0.818343\pi\) | |||||||
\(644\) | 0.312286 | + | 0.366408i | 0.0123058 | + | 0.0144385i | ||||
\(645\) | 8.20193 | − | 20.1384i | 0.322951 | − | 0.792950i | ||||
\(646\) | −36.3698 | − | 10.2777i | −1.43095 | − | 0.404370i | ||||
\(647\) | 0.562777 | − | 3.55324i | 0.0221251 | − | 0.139692i | −0.974153 | − | 0.225889i | \(-0.927471\pi\) |
0.996278 | + | 0.0861968i | \(0.0274714\pi\) | |||||||
\(648\) | 0.115434 | − | 2.82607i | 0.00453469 | − | 0.111019i | ||||
\(649\) | − | 11.4017i | − | 0.447556i | ||||||
\(650\) | 8.44988 | + | 40.0961i | 0.331431 | + | 1.57270i | ||||
\(651\) | 21.2006i | 0.830916i | ||||||||
\(652\) | −30.1926 | + | 35.2770i | −1.18244 | + | 1.38155i | ||||
\(653\) | −5.01226 | + | 31.6462i | −0.196145 | + | 1.23841i | 0.671417 | + | 0.741080i | \(0.265686\pi\) |
−0.867562 | + | 0.497330i | \(0.834314\pi\) | |||||||
\(654\) | 7.12161 | − | 25.2014i | 0.278477 | − | 0.985451i | ||||
\(655\) | −6.32143 | − | 0.459776i | −0.246999 | − | 0.0179649i | ||||
\(656\) | −11.0603 | − | 21.8186i | −0.431831 | − | 0.851874i | ||||
\(657\) | −3.76067 | − | 3.76067i | −0.146718 | − | 0.146718i | ||||
\(658\) | 8.75851 | − | 9.46506i | 0.341442 | − | 0.368986i | ||||
\(659\) | 8.42444 | − | 25.9278i | 0.328170 | − | 1.01000i | −0.641820 | − | 0.766856i | \(-0.721820\pi\) |
0.969989 | − | 0.243147i | \(-0.0781797\pi\) | |||||||
\(660\) | −4.94937 | − | 2.49136i | −0.192654 | − | 0.0969761i | ||||
\(661\) | 4.18817 | + | 12.8899i | 0.162901 | + | 0.501358i | 0.998875 | − | 0.0474105i | \(-0.0150969\pi\) |
−0.835974 | + | 0.548768i | \(0.815097\pi\) | |||||||
\(662\) | −5.61962 | − | 2.59421i | −0.218413 | − | 0.100827i | ||||
\(663\) | 30.2543 | − | 15.4153i | 1.17498 | − | 0.598682i | ||||
\(664\) | −6.05724 | + | 5.58183i | −0.235067 | + | 0.216617i | ||||
\(665\) | −13.1812 | − | 15.2490i | −0.511144 | − | 0.591330i | ||||
\(666\) | −2.14128 | − | 5.81347i | −0.0829730 | − | 0.225267i | ||||
\(667\) | −0.645523 | + | 0.102241i | −0.0249948 | + | 0.00395878i | ||||
\(668\) | 33.8848 | − | 20.7164i | 1.31104 | − | 0.801542i | ||||
\(669\) | −6.88277 | + | 9.47333i | −0.266103 | + | 0.366260i | ||||
\(670\) | 13.8797 | − | 17.8038i | 0.536219 | − | 0.687822i | ||||
\(671\) | 0.511605 | + | 0.704165i | 0.0197503 | + | 0.0271840i | ||||
\(672\) | 11.1726 | − | 0.409998i | 0.430991 | − | 0.0158160i | ||||
\(673\) | −10.6723 | − | 5.43780i | −0.411387 | − | 0.209612i | 0.236034 | − | 0.971745i | \(-0.424152\pi\) |
−0.647421 | + | 0.762133i | \(0.724152\pi\) | |||||||
\(674\) | 18.5566 | + | 23.5641i | 0.714774 | + | 0.907653i | ||||
\(675\) | 4.00992 | − | 2.98673i | 0.154342 | − | 0.114959i | ||||
\(676\) | 9.65099 | − | 40.0166i | 0.371192 | − | 1.53910i | ||||
\(677\) | −10.4290 | + | 20.4681i | −0.400819 | + | 0.786652i | −0.999902 | − | 0.0140353i | \(-0.995532\pi\) |
0.599082 | + | 0.800688i | \(0.295532\pi\) | |||||||
\(678\) | 10.0720 | − | 5.63375i | 0.386814 | − | 0.216363i | ||||
\(679\) | 11.7967 | − | 8.57080i | 0.452716 | − | 0.328917i | ||||
\(680\) | 35.7105 | + | 9.90271i | 1.36944 | + | 0.379752i | ||||
\(681\) | −6.95065 | − | 5.04995i | −0.266350 | − | 0.193514i | ||||
\(682\) | −18.6647 | − | 2.21892i | −0.714709 | − | 0.0849668i | ||||
\(683\) | 7.59793 | + | 47.9715i | 0.290727 | + | 1.83558i | 0.510319 | + | 0.859985i | \(0.329527\pi\) |
−0.219592 | + | 0.975592i | \(0.570473\pi\) | |||||||
\(684\) | 7.77275 | + | 4.77423i | 0.297199 | + | 0.182547i | ||||
\(685\) | −16.4979 | − | 9.97575i | −0.630353 | − | 0.381154i | ||||
\(686\) | 15.6863 | − | 23.4499i | 0.598906 | − | 0.895322i | ||||
\(687\) | 3.20305 | + | 6.28633i | 0.122204 | + | 0.239839i | ||||
\(688\) | −38.8979 | − | 0.0805794i | −1.48297 | − | 0.00307206i | ||||
\(689\) | −0.114475 | + | 0.0371951i | −0.00436114 | + | 0.00141702i | ||||
\(690\) | −0.0473414 | − | 0.382235i | −0.00180226 | − | 0.0145514i | ||||
\(691\) | 15.8467 | + | 5.14891i | 0.602838 | + | 0.195874i | 0.594506 | − | 0.804091i | \(-0.297348\pi\) |
0.00833210 | + | 0.999965i | \(0.497348\pi\) | |||||||
\(692\) | 1.82116 | + | 0.145227i | 0.0692303 | + | 0.00552070i | ||||
\(693\) | −1.73153 | + | 1.73153i | −0.0657756 | + | 0.0657756i | ||||
\(694\) | 48.0824 | − | 1.86422i | 1.82518 | − | 0.0707649i | ||||
\(695\) | −14.8397 | + | 17.5853i | −0.562902 | + | 0.667049i | ||||
\(696\) | −7.43663 | + | 13.2308i | −0.281885 | + | 0.501512i | ||||
\(697\) | −35.3918 | − | 5.60551i | −1.34056 | − | 0.212324i | ||||
\(698\) | 42.1505 | − | 8.36157i | 1.59542 | − | 0.316490i | ||||
\(699\) | −17.9755 | −0.679897 | ||||||||
\(700\) | 12.9976 | + | 14.8886i | 0.491263 | + | 0.562734i | ||||
\(701\) | −11.4107 | −0.430977 | −0.215488 | − | 0.976506i | \(-0.569134\pi\) | ||||
−0.215488 | + | 0.976506i | \(0.569134\pi\) | |||||||
\(702\) | −8.03872 | + | 1.59467i | −0.303402 | + | 0.0601870i | ||||
\(703\) | 19.7343 | + | 3.12560i | 0.744292 | + | 0.117884i | ||||
\(704\) | −0.808397 | + | 9.87909i | −0.0304676 | + | 0.372332i | ||||
\(705\) | −10.0173 | + | 2.46790i | −0.377272 | + | 0.0929465i | ||||
\(706\) | −25.3696 | + | 0.983614i | −0.954796 | + | 0.0370188i | ||||
\(707\) | 7.47316 | − | 7.47316i | 0.281057 | − | 0.281057i | ||||
\(708\) | 1.46300 | − | 18.3462i | 0.0549830 | − | 0.689494i | ||||
\(709\) | −22.2796 | − | 7.23907i | −0.836727 | − | 0.271869i | −0.140851 | − | 0.990031i | \(-0.544984\pi\) |
−0.695876 | + | 0.718162i | \(0.744984\pi\) | |||||||
\(710\) | −24.4881 | − | 4.73323i | −0.919021 | − | 0.177635i | ||||
\(711\) | 11.9720 | − | 3.88994i | 0.448985 | − | 0.145884i | ||||
\(712\) | −21.3746 | − | 16.9043i | −0.801047 | − | 0.633515i | ||||
\(713\) | −0.593144 | − | 1.16411i | −0.0222134 | − | 0.0435963i | ||||
\(714\) | 9.10571 | − | 13.6124i | 0.340772 | − | 0.509431i | ||||
\(715\) | −3.65528 | + | 15.6335i | −0.136700 | + | 0.584660i | ||||
\(716\) | −5.84615 | + | 9.51791i | −0.218481 | + | 0.355701i | ||||
\(717\) | 2.01396 | + | 12.7156i | 0.0752126 | + | 0.474874i | ||||
\(718\) | −37.7015 | − | 4.48207i | −1.40701 | − | 0.167269i | ||||
\(719\) | 37.2385 | + | 27.0554i | 1.38876 | + | 1.00900i | 0.996000 | + | 0.0893562i | \(0.0284809\pi\) |
0.392764 | + | 0.919639i | \(0.371519\pi\) | |||||||
\(720\) | −7.64424 | − | 4.64387i | −0.284884 | − | 0.173067i | ||||
\(721\) | 2.20132 | − | 1.59935i | 0.0819814 | − | 0.0595629i | ||||
\(722\) | −2.22443 | + | 1.24423i | −0.0827846 | + | 0.0463053i | ||||
\(723\) | −5.67126 | + | 11.1305i | −0.210917 | + | 0.413947i | ||||
\(724\) | 9.91973 | + | 2.39239i | 0.368664 | + | 0.0889123i | ||||
\(725\) | −26.4483 | + | 4.51143i | −0.982266 | + | 0.167550i | ||||
\(726\) | 8.28132 | + | 10.5160i | 0.307349 | + | 0.390285i | ||||
\(727\) | −38.1000 | − | 19.4129i | −1.41305 | − | 0.719985i | −0.429916 | − | 0.902869i | \(-0.641457\pi\) |
−0.983135 | + | 0.182884i | \(0.941457\pi\) | |||||||
\(728\) | −8.74466 | − | 31.1916i | −0.324099 | − | 1.15604i | ||||
\(729\) | 0.587785 | + | 0.809017i | 0.0217698 | + | 0.0299636i | ||||
\(730\) | −16.1618 | + | 4.65277i | −0.598177 | + | 0.172207i | ||||
\(731\) | −33.4918 | + | 46.0975i | −1.23874 | + | 1.70498i | ||||
\(732\) | 0.732859 | + | 1.19870i | 0.0270872 | + | 0.0443053i | ||||
\(733\) | −18.1115 | + | 2.86857i | −0.668962 | + | 0.105953i | −0.481672 | − | 0.876352i | \(-0.659970\pi\) |
−0.187290 | + | 0.982305i | \(0.559970\pi\) | |||||||
\(734\) | 6.82965 | + | 18.5421i | 0.252087 | + | 0.684403i | ||||
\(735\) | −6.37580 | + | 2.68538i | −0.235175 | + | 0.0990519i | ||||
\(736\) | −0.602008 | + | 0.335096i | −0.0221903 | + | 0.0123518i | ||||
\(737\) | 7.88100 | − | 4.01557i | 0.290300 | − | 0.147915i | ||||
\(738\) | 7.85226 | + | 3.62487i | 0.289046 | + | 0.133433i | ||||
\(739\) | −1.37964 | − | 4.24609i | −0.0507508 | − | 0.156195i | 0.922469 | − | 0.386071i | \(-0.126168\pi\) |
−0.973220 | + | 0.229876i | \(0.926168\pi\) | |||||||
\(740\) | −19.3648 | − | 2.96990i | −0.711863 | − | 0.109176i | ||||
\(741\) | 8.16753 | − | 25.1371i | 0.300042 | − | 0.923433i | ||||
\(742\) | −0.0394294 | + | 0.0426102i | −0.00144750 | + | 0.00156427i | ||||
\(743\) | −9.34530 | − | 9.34530i | −0.342846 | − | 0.342846i | 0.514590 | − | 0.857436i | \(-0.327944\pi\) |
−0.857436 | + | 0.514590i | \(0.827944\pi\) | |||||||
\(744\) | −29.7483 | − | 5.96536i | −1.09063 | − | 0.218701i | ||||
\(745\) | −40.4544 | + | 25.1219i | −1.48213 | + | 0.920397i | ||||
\(746\) | 6.51711 | − | 23.0622i | 0.238608 | − | 0.844367i | ||||
\(747\) | 0.455567 | − | 2.87634i | 0.0166683 | − | 0.105240i | ||||
\(748\) | 11.0311 | + | 9.44126i | 0.403339 | + | 0.345207i | ||||
\(749\) | − | 13.9240i | − | 0.508773i | ||||||
\(750\) | −2.12957 | − | 15.6673i | −0.0777608 | − | 0.572090i | ||||
\(751\) | − | 34.9526i | − | 1.27544i | −0.770269 | − | 0.637719i | \(-0.779878\pi\) | ||
0.770269 | − | 0.637719i | \(-0.220122\pi\) | |||||||
\(752\) | 10.8168 | + | 14.9530i | 0.394447 | + | 0.545281i | ||||
\(753\) | −1.19117 | + | 7.52072i | −0.0434085 | + | 0.274070i | ||||
\(754\) | 42.3196 | + | 11.9590i | 1.54119 | + | 0.435522i | ||||
\(755\) | 7.07724 | − | 4.39492i | 0.257567 | − | 0.159948i | ||||
\(756\) | −3.00836 | + | 2.56399i | −0.109413 | + | 0.0932516i | ||||
\(757\) | 21.7005 | + | 21.7005i | 0.788717 | + | 0.788717i | 0.981284 | − | 0.192567i | \(-0.0616812\pi\) |
−0.192567 | + | 0.981284i | \(0.561681\pi\) | |||||||
\(758\) | −2.29959 | − | 2.12793i | −0.0835249 | − | 0.0772899i | ||||
\(759\) | 0.0466331 | − | 0.143522i | 0.00169268 | − | 0.00520952i | ||||
\(760\) | 25.1060 | − | 14.2049i | 0.910690 | − | 0.515265i | ||||
\(761\) | 0.680896 | + | 2.09558i | 0.0246825 | + | 0.0759648i | 0.962639 | − | 0.270788i | \(-0.0872843\pi\) |
−0.937957 | + | 0.346753i | \(0.887284\pi\) | |||||||
\(762\) | −3.66189 | + | 7.93244i | −0.132656 | + | 0.287362i | ||||
\(763\) | −32.6094 | + | 16.6153i | −1.18054 | + | 0.601515i | ||||
\(764\) | −6.01666 | + | 0.467251i | −0.217675 | + | 0.0169045i | ||||
\(765\) | −12.0747 | + | 5.08568i | −0.436562 | + | 0.183873i | ||||
\(766\) | 32.2858 | − | 11.8919i | 1.16653 | − | 0.429671i | ||||
\(767\) | −52.6704 | + | 8.34217i | −1.90182 | + | 0.301218i | ||||
\(768\) | −2.56840 | + | 15.7925i | −0.0926793 | + | 0.569863i | ||||
\(769\) | −14.1415 | + | 19.4641i | −0.509955 | + | 0.701893i | −0.983912 | − | 0.178655i | \(-0.942825\pi\) |
0.473956 | + | 0.880548i | \(0.342825\pi\) | |||||||
\(770\) | 2.14228 | + | 7.44143i | 0.0772025 | + | 0.268170i | ||||
\(771\) | −2.03171 | − | 2.79641i | −0.0731704 | − | 0.100710i | ||||
\(772\) | −11.0428 | + | 26.5818i | −0.397440 | + | 0.956701i | ||||
\(773\) | −16.2534 | − | 8.28151i | −0.584594 | − | 0.297865i | 0.136570 | − | 0.990630i | \(-0.456392\pi\) |
−0.721163 | + | 0.692765i | \(0.756392\pi\) | |||||||
\(774\) | 10.8045 | − | 8.50850i | 0.388359 | − | 0.305832i | ||||
\(775\) | −24.9153 | − | 47.4967i | −0.894983 | − | 1.70613i | ||||
\(776\) | 8.70708 | + | 18.9646i | 0.312566 | + | 0.680788i | ||||
\(777\) | −3.93063 | + | 7.71430i | −0.141011 | + | 0.276749i | ||||
\(778\) | −18.7577 | − | 33.5350i | −0.672496 | − | 1.20229i | ||||
\(779\) | −22.5653 | + | 16.3947i | −0.808487 | + | 0.587400i | ||||
\(780\) | −7.88764 | + | 24.6865i | −0.282423 | + | 0.883920i | ||||
\(781\) | −7.90593 | − | 5.74400i | −0.282897 | − | 0.205536i | ||||
\(782\) | −0.119145 | + | 1.00221i | −0.00426062 | + | 0.0358388i | ||||
\(783\) | −0.839438 | − | 5.30000i | −0.0299991 | − | 0.189407i | ||||
\(784\) | 8.73282 | + | 8.76907i | 0.311886 | + | 0.313181i | ||||
\(785\) | 6.96644 | − | 29.7952i | 0.248643 | − | 1.06344i | ||||
\(786\) | −3.33186 | − | 2.22878i | −0.118844 | − | 0.0794979i | ||||
\(787\) | 12.5600 | + | 24.6504i | 0.447716 | + | 0.878692i | 0.999015 | + | 0.0443837i | \(0.0141324\pi\) |
−0.551299 | + | 0.834308i | \(0.685868\pi\) | |||||||
\(788\) | −0.197109 | + | 0.0471058i | −0.00702172 | + | 0.00167808i | ||||
\(789\) | 16.1232 | − | 5.23874i | 0.574001 | − | 0.186504i | ||||
\(790\) | 7.55437 | − | 39.0837i | 0.268772 | − | 1.39053i | ||||
\(791\) | −15.3387 | − | 4.98384i | −0.545381 | − | 0.177205i | ||||
\(792\) | −1.94244 | − | 2.91687i | −0.0690218 | − | 0.103647i | ||||
\(793\) | 2.87858 | − | 2.87858i | 0.102221 | − | 0.102221i | ||||
\(794\) | −0.504688 | − | 13.0170i | −0.0179107 | − | 0.461956i | ||||
\(795\) | 0.0450962 | − | 0.0111101i | 0.00159940 | − | 0.000394035i | ||||
\(796\) | 24.1473 | − | 9.97285i | 0.855879 | − | 0.353478i | ||||
\(797\) | −28.7658 | − | 4.55606i | −1.01894 | − | 0.161384i | −0.375452 | − | 0.926842i | \(-0.622513\pi\) |
−0.643486 | + | 0.765458i | \(0.722513\pi\) | |||||||
\(798\) | −2.48052 | − | 12.5043i | −0.0878096 | − | 0.442647i | ||||
\(799\) | 27.0342 | 0.956400 | ||||||||
\(800\) | −24.5486 | + | 14.0487i | −0.867924 | + | 0.496697i | ||||
\(801\) | 9.63476 | 0.340428 | ||||||||
\(802\) | −8.01246 | − | 40.3906i | −0.282930 | − | 1.42624i | ||||
\(803\) | −6.50844 | − | 1.03084i | −0.229678 | − | 0.0363774i | ||||
\(804\) | 13.1964 | − | 5.45012i | 0.465401 | − | 0.192211i | ||||
\(805\) | −0.347136 | + | 0.411362i | −0.0122349 | + | 0.0144986i | ||||
\(806\) | 3.40590 | + | 87.8455i | 0.119968 | + | 3.09423i | ||||
\(807\) | 10.7764 | − | 10.7764i | 0.379347 | − | 0.379347i | ||||
\(808\) | 8.38343 | + | 12.5890i | 0.294928 | + | 0.442879i | ||||
\(809\) | 14.4231 | + | 4.68634i | 0.507088 | + | 0.164763i | 0.551377 | − | 0.834256i | \(-0.314102\pi\) |
−0.0442896 | + | 0.999019i | \(0.514102\pi\) | |||||||
\(810\) | 3.13830 | − | 0.388691i | 0.110269 | − | 0.0136572i | ||||
\(811\) | −20.0242 | + | 6.50627i | −0.703146 | + | 0.228466i | −0.638701 | − | 0.769455i | \(-0.720528\pi\) |
−0.0644451 | + | 0.997921i | \(0.520528\pi\) | |||||||
\(812\) | 20.6298 | − | 4.93019i | 0.723964 | − | 0.173016i | ||||
\(813\) | −14.1298 | − | 27.7313i | −0.495553 | − | 0.972578i | ||||
\(814\) | −6.38018 | − | 4.26788i | −0.223625 | − | 0.149589i | ||||
\(815\) | −44.4243 | − | 26.8619i | −1.55611 | − | 0.940931i | ||||
\(816\) | 16.5385 | + | 16.6072i | 0.578964 | + | 0.581368i | ||||
\(817\) | 6.93832 | + | 43.8068i | 0.242741 | + | 1.53261i | ||||
\(818\) | −2.72181 | + | 22.8949i | −0.0951658 | + | 0.800500i | ||||
\(819\) | 9.26575 | + | 6.73196i | 0.323772 | + | 0.235234i | ||||
\(820\) | 22.0469 | − | 16.1836i | 0.769912 | − | 0.565157i | ||||
\(821\) | 36.0784 | − | 26.2125i | 1.25915 | − | 0.914823i | 0.260430 | − | 0.965493i | \(-0.416136\pi\) |
0.998715 | + | 0.0506698i | \(0.0161356\pi\) | |||||||
\(822\) | −5.95244 | − | 10.6418i | −0.207615 | − | 0.371174i | ||||
\(823\) | −4.13086 | + | 8.10727i | −0.143993 | + | 0.282602i | −0.951727 | − | 0.306945i | \(-0.900693\pi\) |
0.807735 | + | 0.589546i | \(0.200693\pi\) | |||||||
\(824\) | 1.62478 | + | 3.53887i | 0.0566019 | + | 0.123282i | ||||
\(825\) | 1.84431 | − | 5.91417i | 0.0642108 | − | 0.205905i | ||||
\(826\) | −20.2069 | + | 15.9129i | −0.703089 | + | 0.553681i | ||||
\(827\) | 39.4863 | + | 20.1193i | 1.37307 | + | 0.699615i | 0.975918 | − | 0.218137i | \(-0.0699979\pi\) |
0.397154 | + | 0.917752i | \(0.369998\pi\) | |||||||
\(828\) | 0.0934523 | − | 0.224954i | 0.00324769 | − | 0.00781771i | ||||
\(829\) | −24.4195 | − | 33.6105i | −0.848123 | − | 1.16734i | −0.984273 | − | 0.176653i | \(-0.943473\pi\) |
0.136150 | − | 0.990688i | \(-0.456527\pi\) | |||||||
\(830\) | −7.26289 | − | 5.66208i | −0.252099 | − | 0.196534i | ||||
\(831\) | 4.74802 | − | 6.53509i | 0.164707 | − | 0.226700i | ||||
\(832\) | 46.2281 | − | 3.49373i | 1.60267 | − | 0.121123i | ||||
\(833\) | 17.9054 | − | 2.83594i | 0.620386 | − | 0.0982594i | ||||
\(834\) | −13.6559 | + | 5.02990i | −0.472866 | + | 0.174171i | ||||
\(835\) | 29.0378 | + | 33.5931i | 1.00489 | + | 1.16254i | ||||
\(836\) | 11.2682 | − | 0.875086i | 0.389720 | − | 0.0302655i | ||||
\(837\) | 9.55782 | − | 4.86995i | 0.330366 | − | 0.168330i | ||||
\(838\) | −8.86536 | + | 19.2043i | −0.306249 | + | 0.663401i | ||||
\(839\) | −7.90159 | − | 24.3186i | −0.272793 | − | 0.839571i | −0.989795 | − | 0.142500i | \(-0.954486\pi\) |
0.717002 | − | 0.697071i | \(-0.245514\pi\) | |||||||
\(840\) | 2.49226 | + | 12.2487i | 0.0859911 | + | 0.422621i | ||||
\(841\) | 0.0634479 | − | 0.195272i | 0.00218786 | − | 0.00673353i | ||||
\(842\) | 11.1636 | + | 10.3302i | 0.384722 | + | 0.356003i | ||||
\(843\) | 6.60686 | + | 6.60686i | 0.227552 | + | 0.227552i | ||||
\(844\) | 42.2887 | − | 36.0422i | 1.45564 | − | 1.24063i | ||||
\(845\) | 45.9015 | + | 3.33854i | 1.57906 | + | 0.114849i | ||||
\(846\) | −6.27902 | − | 1.77438i | −0.215877 | − | 0.0610043i | ||||
\(847\) | 2.92628 | − | 18.4758i | 0.100548 | − | 0.634836i | ||||
\(848\) | −0.0486954 | − | 0.0673163i | −0.00167221 | − | 0.00231165i | ||||
\(849\) | − | 16.2817i | − | 0.558788i | ||||||
\(850\) | −4.40247 | + | 41.1977i | −0.151003 | + | 1.41307i | ||||
\(851\) | − | 0.533558i | − | 0.0182901i | ||||||
\(852\) | −11.9842 | − | 10.2570i | −0.410573 | − | 0.351399i | ||||
\(853\) | 5.86386 | − | 37.0230i | 0.200775 | − | 1.26764i | −0.657108 | − | 0.753797i | \(-0.728220\pi\) |
0.857883 | − | 0.513846i | \(-0.171780\pi\) | |||||||
\(854\) | 0.533945 | − | 1.88948i | 0.0182712 | − | 0.0646566i | ||||
\(855\) | −3.84684 | + | 9.44526i | −0.131559 | + | 0.323021i | ||||
\(856\) | 19.5380 | + | 3.91791i | 0.667793 | + | 0.133911i | ||||
\(857\) | −1.38959 | − | 1.38959i | −0.0474676 | − | 0.0474676i | 0.682975 | − | 0.730442i | \(-0.260686\pi\) |
−0.730442 | + | 0.682975i | \(0.760686\pi\) | |||||||
\(858\) | −6.89652 | + | 7.45286i | −0.235443 | + | 0.254437i | ||||
\(859\) | −6.44537 | + | 19.8368i | −0.219913 | + | 0.676824i | 0.778855 | + | 0.627204i | \(0.215801\pi\) |
−0.998768 | + | 0.0496195i | \(0.984199\pi\) | |||||||
\(860\) | −7.01357 | − | 42.9200i | −0.239161 | − | 1.46356i | ||||
\(861\) | −3.73492 | − | 11.4949i | −0.127286 | − | 0.391745i | ||||
\(862\) | 6.83462 | + | 3.15510i | 0.232788 | + | 0.107463i | ||||
\(863\) | 21.9733 | − | 11.1960i | 0.747980 | − | 0.381115i | −0.0380720 | − | 0.999275i | \(-0.512122\pi\) |
0.786052 | + | 0.618160i | \(0.212122\pi\) | |||||||
\(864\) | −2.75127 | − | 4.94272i | −0.0936001 | − | 0.168155i | ||||
\(865\) | 0.172342 | + | 2.03530i | 0.00585979 | + | 0.0692024i | ||||
\(866\) | −5.40392 | − | 14.6714i | −0.183633 | − | 0.498553i | ||||
\(867\) | 17.1192 | − | 2.71142i | 0.581399 | − | 0.0920845i | ||||
\(868\) | 22.1171 | + | 36.1759i | 0.750703 | + | 1.22789i | ||||
\(869\) | 9.16758 | − | 12.6181i | 0.310989 | − | 0.428040i | ||||
\(870\) | −15.9517 | − | 5.78693i | −0.540815 | − | 0.196195i | ||||
\(871\) | −24.3162 | − | 33.4684i | −0.823923 | − | 1.13403i | ||||
\(872\) | −14.1388 | − | 50.4321i | −0.478800 | − | 1.70785i | ||||
\(873\) | −6.57376 | − | 3.34950i | −0.222488 | − | 0.113363i | ||||
\(874\) | 0.486046 | + | 0.617203i | 0.0164407 | + | 0.0208772i | ||||
\(875\) | −14.0492 | + | 17.0552i | −0.474948 | + | 0.576571i | ||||
\(876\) | −10.3403 | − | 2.49382i | −0.349367 | − | 0.0842584i | ||||
\(877\) | −8.82783 | + | 17.3256i | −0.298095 | + | 0.585044i | −0.990667 | − | 0.136305i | \(-0.956477\pi\) |
0.692572 | + | 0.721349i | \(0.256477\pi\) | |||||||
\(878\) | −12.3206 | + | 6.89150i | −0.415801 | + | 0.232577i | ||||
\(879\) | 14.6172 | − | 10.6200i | 0.493027 | − | 0.358205i | ||||
\(880\) | −11.0445 | + | 0.912164i | −0.372309 | + | 0.0307491i | ||||
\(881\) | 2.94832 | + | 2.14208i | 0.0993315 | + | 0.0721686i | 0.636342 | − | 0.771407i | \(-0.280447\pi\) |
−0.537011 | + | 0.843575i | \(0.680447\pi\) | |||||||
\(882\) | −4.34489 | − | 0.516533i | −0.146300 | − | 0.0173926i | ||||
\(883\) | 1.16799 | + | 7.37438i | 0.0393059 | + | 0.248168i | 0.999516 | − | 0.0311112i | \(-0.00990460\pi\) |
−0.960210 | + | 0.279279i | \(0.909905\pi\) | |||||||
\(884\) | 35.5431 | − | 57.8664i | 1.19544 | − | 1.94626i | ||||
\(885\) | 20.5035 | − | 1.73615i | 0.689216 | − | 0.0583602i | ||||
\(886\) | 20.9963 | − | 31.3880i | 0.705385 | − | 1.05450i | ||||
\(887\) | 12.7429 | + | 25.0093i | 0.427864 | + | 0.839729i | 0.999811 | + | 0.0194392i | \(0.00618809\pi\) |
−0.571948 | + | 0.820290i | \(0.693812\pi\) | |||||||
\(888\) | −9.71858 | − | 7.68603i | −0.326134 | − | 0.257926i | ||||
\(889\) | 11.6123 | − | 3.77306i | 0.389463 | − | 0.126544i | ||||
\(890\) | 14.7430 | − | 26.6633i | 0.494186 | − | 0.893755i | ||||
\(891\) | 1.17837 | + | 0.382876i | 0.0394770 | + | 0.0128268i | ||||
\(892\) | −1.86164 | + | 23.3452i | −0.0623324 | + | 0.781657i | ||||
\(893\) | 14.8799 | − | 14.8799i | 0.497937 | − | 0.497937i | ||||
\(894\) | −30.0950 | + | 1.16682i | −1.00653 | + | 0.0390244i | ||||
\(895\) | −11.5659 | − | 4.71054i | −0.386607 | − | 0.157456i | ||||
\(896\) | 18.6367 | − | 12.3552i | 0.622609 | − | 0.412757i | ||||
\(897\) | −0.697122 | − | 0.110413i | −0.0232762 | − | 0.00368659i | ||||
\(898\) | 52.0645 | − | 10.3282i | 1.73741 | − | 0.344658i | ||||
\(899\) | −57.5617 | −1.91979 | ||||||||
\(900\) | 3.72652 | − | 9.27971i | 0.124217 | − | 0.309324i | ||||
\(901\) | −0.121704 | −0.00405454 | ||||||||
\(902\) | 10.5109 | − | 2.08509i | 0.349974 | − | 0.0694258i | ||||
\(903\) | −18.9826 | − | 3.00655i | −0.631703 | − | 0.100052i | ||||
\(904\) | 11.3092 | − | 20.1207i | 0.376139 | − | 0.669203i | ||||
\(905\) | −0.827593 | + | 11.3785i | −0.0275101 | + | 0.378235i | ||||
\(906\) | 5.26492 | − | 0.204128i | 0.174915 | − | 0.00678171i | ||||
\(907\) | 4.22368 | − | 4.22368i | 0.140245 | − | 0.140245i | −0.633499 | − | 0.773744i | \(-0.718382\pi\) |
0.773744 | + | 0.633499i | \(0.218382\pi\) | |||||||
\(908\) | −17.1286 | − | 1.36590i | −0.568432 | − | 0.0453290i | ||||
\(909\) | −5.08576 | − | 1.65246i | −0.168684 | − | 0.0548087i | ||||
\(910\) | 32.8084 | − | 15.3409i | 1.08759 | − | 0.508546i | ||||
\(911\) | 17.2161 | − | 5.59384i | 0.570394 | − | 0.185332i | −0.00959850 | − | 0.999954i | \(-0.503055\pi\) |
0.579993 | + | 0.814622i | \(0.303055\pi\) | |||||||
\(912\) | 18.2438 | + | 0.0377931i | 0.604111 | + | 0.00125145i | ||||
\(913\) | −1.63811 | − | 3.21497i | −0.0542136 | − | 0.106400i | ||||
\(914\) | 5.77602 | − | 8.63474i | 0.191054 | − | 0.285612i | ||||
\(915\) | −1.18838 | + | 1.02723i | −0.0392867 | + | 0.0339593i | ||||
\(916\) | 12.0237 | + | 7.38524i | 0.397273 | + | 0.244015i | ||||
\(917\) | 0.876352 | + | 5.53307i | 0.0289397 | + | 0.182718i | ||||
\(918\) | −8.22850 | − | 0.978229i | −0.271581 | − | 0.0322864i | ||||
\(919\) | 2.80257 | + | 2.03619i | 0.0924483 | + | 0.0671676i | 0.633049 | − | 0.774112i | \(-0.281803\pi\) |
−0.540601 | + | 0.841279i | \(0.681803\pi\) | |||||||
\(920\) | −0.479540 | − | 0.602843i | −0.0158100 | − | 0.0198751i | ||||
\(921\) | −0.746213 | + | 0.542155i | −0.0245885 | + | 0.0178646i | ||||
\(922\) | 3.90664 | − | 2.18517i | 0.128658 | − | 0.0719647i | ||||
\(923\) | −20.7501 | + | 40.7243i | −0.682996 | + | 1.34046i | ||||
\(924\) | −1.14824 | + | 4.76101i | −0.0377742 | + | 0.156626i | ||||
\(925\) | −0.259982 | − | 21.9021i | −0.00854816 | − | 0.720136i | ||||
\(926\) | −13.1388 | − | 16.6843i | −0.431769 | − | 0.548280i | ||||
\(927\) | −1.22669 | − | 0.625032i | −0.0402899 | − | 0.0205287i | ||||
\(928\) | 1.11319 | + | 30.3346i | 0.0365422 | + | 0.995783i | ||||
\(929\) | −11.6360 | − | 16.0155i | −0.381764 | − | 0.525453i | 0.574287 | − | 0.818654i | \(-0.305279\pi\) |
−0.956051 | + | 0.293201i | \(0.905279\pi\) | |||||||
\(930\) | 1.14813 | − | 33.9023i | 0.0376487 | − | 1.11170i | ||||
\(931\) | 8.29439 | − | 11.4163i | 0.271838 | − | 0.374153i | ||||
\(932\) | −30.6727 | + | 18.7526i | −1.00472 | + | 0.614262i | ||||
\(933\) | −13.3347 | + | 2.11201i | −0.436559 | + | 0.0691442i | ||||
\(934\) | 14.2331 | + | 38.6422i | 0.465722 | + | 1.26441i | ||||
\(935\) | −8.39973 | + | 13.8915i | −0.274701 | + | 0.454301i | ||||
\(936\) | −12.0533 | + | 11.1073i | −0.393976 | + | 0.363054i | ||||
\(937\) | 0.205689 | − | 0.104804i | 0.00671957 | − | 0.00342379i | −0.450627 | − | 0.892712i | \(-0.648800\pi\) |
0.457347 | + | 0.889288i | \(0.348800\pi\) | |||||||
\(938\) | −18.1159 | − | 8.36291i | −0.591504 | − | 0.273059i | ||||
\(939\) | −4.12051 | − | 12.6816i | −0.134468 | − | 0.413850i | ||||
\(940\) | −14.5185 | + | 14.6615i | −0.473541 | + | 0.478204i | ||||
\(941\) | 8.65557 | − | 26.6391i | 0.282163 | − | 0.868410i | −0.705071 | − | 0.709137i | \(-0.749085\pi\) |
0.987235 | − | 0.159273i | \(-0.0509150\pi\) | |||||||
\(942\) | 13.1438 | − | 14.2041i | 0.428247 | − | 0.462794i | ||||
\(943\) | 0.526684 | + | 0.526684i | 0.0171512 | + | 0.0171512i | ||||
\(944\) | −16.6429 | − | 32.8316i | −0.541682 | − | 1.06858i | ||||
\(945\) | −3.37745 | − | 2.85012i | −0.109868 | − | 0.0927144i | ||||
\(946\) | 4.63372 | − | 16.3974i | 0.150655 | − | 0.533126i | ||||
\(947\) | −4.02669 | + | 25.4235i | −0.130850 | + | 0.826152i | 0.831735 | + | 0.555172i | \(0.187348\pi\) |
−0.962585 | + | 0.270980i | \(0.912652\pi\) | |||||||
\(948\) | 16.3704 | − | 19.1272i | 0.531687 | − | 0.621222i | ||||
\(949\) | 30.8201i | 1.00046i | ||||||||
\(950\) | 20.2525 | + | 25.0988i | 0.657077 | + | 0.814313i | ||||
\(951\) | 26.0210i | 0.843789i | ||||||||
\(952\) | 1.33678 | − | 32.7270i | 0.0433252 | − | 1.06069i | ||||
\(953\) | 1.46424 | − | 9.24486i | 0.0474314 | − | 0.299470i | −0.952557 | − | 0.304361i | \(-0.901557\pi\) |
0.999988 | + | 0.00489121i | \(0.00155693\pi\) | |||||||
\(954\) | 0.0282672 | + | 0.00798797i | 0.000915183 | + | 0.000258620i | ||||
\(955\) | −1.61398 | − | 6.55119i | −0.0522273 | − | 0.211992i | ||||
\(956\) | 16.7019 | + | 19.5964i | 0.540177 | + | 0.633794i | ||||
\(957\) | −4.70129 | − | 4.70129i | −0.151971 | − | 0.151971i | ||||
\(958\) | 36.5292 | + | 33.8023i | 1.18020 | + | 1.09210i | ||||
\(959\) | −5.26577 | + | 16.2064i | −0.170041 | + | 0.523331i | ||||
\(960\) | −17.8885 | + | 0.0505794i | −0.577348 | + | 0.00163244i | ||||
\(961\) | −25.9785 | − | 79.9537i | −0.838017 | − | 2.57915i | ||||
\(962\) | −15.0474 | + | 32.5960i | −0.485149 | + | 1.05094i | ||||
\(963\) | −6.27734 | + | 3.19847i | −0.202285 | + | 0.103069i | ||||
\(964\) | 1.93443 | + | 24.9091i | 0.0623037 | + | 0.802267i | ||||
\(965\) | −31.3367 | − | 7.32686i | −1.00876 | − | 0.235860i | ||||
\(966\) | −0.319444 | + | 0.117661i | −0.0102780 | + | 0.00378569i | ||||
\(967\) | 18.9790 | − | 3.00598i | 0.610325 | − | 0.0966659i | 0.156382 | − | 0.987697i | \(-0.450017\pi\) |
0.453943 | + | 0.891031i | \(0.350017\pi\) | |||||||
\(968\) | 25.1015 | + | 9.30478i | 0.806794 | + | 0.299067i | ||||
\(969\) | 15.7082 | − | 21.6205i | 0.504621 | − | 0.694551i | ||||
\(970\) | −19.3285 | + | 13.0669i | −0.620601 | + | 0.419553i | ||||
\(971\) | 6.41370 | + | 8.82770i | 0.205825 | + | 0.283294i | 0.899433 | − | 0.437059i | \(-0.143980\pi\) |
−0.693608 | + | 0.720353i | \(0.743980\pi\) | |||||||
\(972\) | 1.84697 | + | 0.767280i | 0.0592414 | + | 0.0246105i | ||||
\(973\) | 18.1210 | + | 9.23311i | 0.580933 | + | 0.296000i | ||||
\(974\) | −4.62406 | + | 3.64143i | −0.148164 | + | 0.116679i | ||||
\(975\) | −28.6700 | − | 4.19269i | −0.918176 | − | 0.134273i | ||||
\(976\) | 2.50105 | + | 1.28088i | 0.0800565 | + | 0.0409999i | ||||
\(977\) | 21.8301 | − | 42.8440i | 0.698408 | − | 1.37070i | −0.220170 | − | 0.975461i | \(-0.570661\pi\) |
0.918578 | − | 0.395241i | \(-0.129339\pi\) | |||||||
\(978\) | −16.0282 | − | 28.6553i | −0.512527 | − | 0.916295i | ||||
\(979\) | 9.65772 | − | 7.01675i | 0.308662 | − | 0.224256i | ||||
\(980\) | −8.07795 | + | 11.2337i | −0.258041 | + | 0.358846i | ||||
\(981\) | 14.9813 | + | 10.8846i | 0.478316 | + | 0.347517i | ||||
\(982\) | 6.81909 | − | 57.3597i | 0.217606 | − | 1.83042i | ||||
\(983\) | −6.21015 | − | 39.2093i | −0.198073 | − | 1.25058i | −0.863588 | − | 0.504199i | \(-0.831788\pi\) |
0.665515 | − | 0.746385i | \(-0.268212\pi\) | |||||||
\(984\) | 17.1804 | − | 2.00637i | 0.547690 | − | 0.0639607i | ||||
\(985\) | −0.0879494 | − | 0.208815i | −0.00280230 | − | 0.00665339i | ||||
\(986\) | 36.9590 | + | 24.7229i | 1.17702 | + | 0.787338i | ||||
\(987\) | 4.13977 | + | 8.12476i | 0.131770 | + | 0.258614i | ||||
\(988\) | −12.2870 | − | 51.4135i | −0.390901 | − | 1.63568i | ||||
\(989\) | 1.12644 | − | 0.366003i | 0.0358188 | − | 0.0116382i | ||||
\(990\) | 2.86270 | − | 2.67516i | 0.0909827 | − | 0.0850222i | ||||
\(991\) | 14.6891 | + | 4.77277i | 0.466614 | + | 0.151612i | 0.532881 | − | 0.846190i | \(-0.321109\pi\) |
−0.0662677 | + | 0.997802i | \(0.521109\pi\) | |||||||
\(992\) | −56.9846 | + | 20.8552i | −1.80926 | + | 0.662155i | ||||
\(993\) | 3.09476 | − | 3.09476i | 0.0982092 | − | 0.0982092i | ||||
\(994\) | 0.854063 | + | 22.0281i | 0.0270892 | + | 0.698690i | ||||
\(995\) | 15.4094 | + | 24.8141i | 0.488511 | + | 0.786659i | ||||
\(996\) | −2.22332 | − | 5.38334i | −0.0704486 | − | 0.170578i | ||||
\(997\) | 4.13055 | + | 0.654215i | 0.130816 | + | 0.0207192i | 0.221499 | − | 0.975161i | \(-0.428905\pi\) |
−0.0906832 | + | 0.995880i | \(0.528905\pi\) | |||||||
\(998\) | −7.40736 | − | 37.3403i | −0.234476 | − | 1.18199i | ||||
\(999\) | 4.38072 | 0.138600 |
(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 | 300.2.w.a.67.17 | yes | 240 | |
3.2 | odd | 2 | 900.2.bj.f.667.14 | 240 | |||
4.3 | odd | 2 | inner | 300.2.w.a.67.6 | ✓ | 240 | |
12.11 | even | 2 | 900.2.bj.f.667.25 | 240 | |||
25.3 | odd | 20 | inner | 300.2.w.a.103.6 | yes | 240 | |
75.53 | even | 20 | 900.2.bj.f.703.25 | 240 | |||
100.3 | even | 20 | inner | 300.2.w.a.103.17 | yes | 240 | |
300.203 | odd | 20 | 900.2.bj.f.703.14 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.67.6 | ✓ | 240 | 4.3 | odd | 2 | inner | |
300.2.w.a.67.17 | yes | 240 | 1.1 | even | 1 | trivial | |
300.2.w.a.103.6 | yes | 240 | 25.3 | odd | 20 | inner | |
300.2.w.a.103.17 | yes | 240 | 100.3 | even | 20 | inner | |
900.2.bj.f.667.14 | 240 | 3.2 | odd | 2 | |||
900.2.bj.f.667.25 | 240 | 12.11 | even | 2 | |||
900.2.bj.f.703.14 | 240 | 300.203 | odd | 20 | |||
900.2.bj.f.703.25 | 240 | 75.53 | even | 20 |