Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [135,2,Mod(2,135)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(135, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([2, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("135.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 135 = 3^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 135.q (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.07798042729\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 2.1 | ||
Character | \(\chi\) | \(=\) | 135.2 |
Dual form | 135.2.q.a.68.1 |
$q$-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 \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).
\(n\) | \(56\) | \(82\) |
\(\chi(n)\) | \(e\left(\frac{1}{18}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.52658 | − | 2.18018i | −1.07945 | − | 1.54162i | −0.816969 | − | 0.576682i | \(-0.804347\pi\) |
−0.262484 | − | 0.964936i | \(-0.584542\pi\) | |||||||
\(3\) | 1.25829 | + | 1.19025i | 0.726474 | + | 0.687193i | ||||
\(4\) | −1.73870 | + | 4.77703i | −0.869348 | + | 2.38851i | ||||
\(5\) | −1.77382 | + | 1.36146i | −0.793274 | + | 0.608864i | ||||
\(6\) | 0.674088 | − | 4.56031i | 0.275195 | − | 1.86174i | ||||
\(7\) | 2.78918 | + | 1.30062i | 1.05421 | + | 0.491587i | 0.870896 | − | 0.491468i | \(-0.163539\pi\) |
0.183315 | + | 0.983054i | \(0.441317\pi\) | |||||||
\(8\) | 7.92739 | − | 2.12414i | 2.80276 | − | 0.750996i | ||||
\(9\) | 0.166591 | + | 2.99537i | 0.0555302 | + | 0.998457i | ||||
\(10\) | 5.67609 | + | 1.78885i | 1.79494 | + | 0.565686i | ||||
\(11\) | −0.426793 | + | 0.508631i | −0.128683 | + | 0.153358i | −0.826538 | − | 0.562880i | \(-0.809693\pi\) |
0.697856 | + | 0.716238i | \(0.254138\pi\) | |||||||
\(12\) | −7.87366 | + | 3.94140i | −2.27293 | + | 1.13778i | ||||
\(13\) | 0.384347 | + | 0.269123i | 0.106599 | + | 0.0746412i | 0.625660 | − | 0.780096i | \(-0.284830\pi\) |
−0.519062 | + | 0.854737i | \(0.673718\pi\) | |||||||
\(14\) | −1.42232 | − | 8.06640i | −0.380132 | − | 2.15584i | ||||
\(15\) | −3.85246 | − | 0.398175i | −0.994701 | − | 0.102808i | ||||
\(16\) | −8.94423 | − | 7.50510i | −2.23606 | − | 1.87627i | ||||
\(17\) | 4.50051 | + | 1.20591i | 1.09153 | + | 0.292476i | 0.759313 | − | 0.650726i | \(-0.225535\pi\) |
0.332221 | + | 0.943201i | \(0.392202\pi\) | |||||||
\(18\) | 6.27613 | − | 4.93586i | 1.47930 | − | 1.16339i | ||||
\(19\) | −4.80938 | − | 2.77670i | −1.10335 | − | 0.637018i | −0.166249 | − | 0.986084i | \(-0.553166\pi\) |
−0.937098 | + | 0.349066i | \(0.886499\pi\) | |||||||
\(20\) | −3.41962 | − | 10.8407i | −0.764650 | − | 2.42406i | ||||
\(21\) | 1.96154 | + | 4.95639i | 0.428042 | + | 1.08157i | ||||
\(22\) | 1.76044 | + | 0.154018i | 0.375327 | + | 0.0328368i | ||||
\(23\) | 0.0280775 | + | 0.0602123i | 0.00585456 | + | 0.0125551i | 0.909213 | − | 0.416331i | \(-0.136684\pi\) |
−0.903359 | + | 0.428886i | \(0.858906\pi\) | |||||||
\(24\) | 12.5032 | + | 6.76283i | 2.55221 | + | 1.38046i | ||||
\(25\) | 1.29284 | − | 4.82997i | 0.258568 | − | 0.965993i | ||||
\(26\) | − | 1.24878i | − | 0.244906i | ||||||
\(27\) | −3.35563 | + | 3.96733i | −0.645792 | + | 0.763513i | ||||
\(28\) | −11.0626 | + | 11.0626i | −2.09064 | + | 2.09064i | ||||
\(29\) | −0.434735 | + | 2.46551i | −0.0807283 | + | 0.457833i | 0.917469 | + | 0.397808i | \(0.130229\pi\) |
−0.998197 | + | 0.0600247i | \(0.980882\pi\) | |||||||
\(30\) | 5.01298 | + | 9.00689i | 0.915241 | + | 1.64443i | ||||
\(31\) | 1.76652 | + | 0.642961i | 0.317276 | + | 0.115479i | 0.495749 | − | 0.868466i | \(-0.334893\pi\) |
−0.178473 | + | 0.983945i | \(0.557116\pi\) | |||||||
\(32\) | −1.27781 | + | 14.6055i | −0.225888 | + | 2.58191i | ||||
\(33\) | −1.14243 | + | 0.132015i | −0.198871 | + | 0.0229808i | ||||
\(34\) | −4.24128 | − | 11.6528i | −0.727373 | − | 1.99844i | ||||
\(35\) | −6.71823 | + | 1.49031i | −1.13559 | + | 0.251909i | ||||
\(36\) | −14.5986 | − | 4.41223i | −2.43310 | − | 0.735372i | ||||
\(37\) | 0.656295 | − | 2.44933i | 0.107894 | − | 0.402667i | −0.890763 | − | 0.454468i | \(-0.849830\pi\) |
0.998657 | + | 0.0518010i | \(0.0164962\pi\) | |||||||
\(38\) | 1.28820 | + | 14.7241i | 0.208973 | + | 2.38857i | ||||
\(39\) | 0.163296 | + | 0.796105i | 0.0261483 | + | 0.127479i | ||||
\(40\) | −11.1698 | + | 14.5607i | −1.76610 | + | 2.30224i | ||||
\(41\) | 1.62695 | − | 0.286875i | 0.254087 | − | 0.0448023i | −0.0451539 | − | 0.998980i | \(-0.514378\pi\) |
0.299241 | + | 0.954178i | \(0.403267\pi\) | |||||||
\(42\) | 7.81137 | − | 11.8428i | 1.20532 | − | 1.82738i | ||||
\(43\) | 8.36925 | − | 0.732214i | 1.27630 | − | 0.111662i | 0.571224 | − | 0.820794i | \(-0.306469\pi\) |
0.705075 | + | 0.709133i | \(0.250913\pi\) | |||||||
\(44\) | −1.68769 | − | 2.92316i | −0.254428 | − | 0.440682i | ||||
\(45\) | −4.37359 | − | 5.08643i | −0.651976 | − | 0.758240i | ||||
\(46\) | 0.0884111 | − | 0.153133i | 0.0130355 | − | 0.0225782i | ||||
\(47\) | 1.73166 | − | 3.71355i | 0.252588 | − | 0.541677i | −0.738599 | − | 0.674145i | \(-0.764512\pi\) |
0.991187 | + | 0.132468i | \(0.0422902\pi\) | |||||||
\(48\) | −2.32146 | − | 20.0895i | −0.335075 | − | 2.89967i | ||||
\(49\) | 1.58841 | + | 1.89299i | 0.226916 | + | 0.270428i | ||||
\(50\) | −12.5038 | + | 4.55469i | −1.76830 | + | 0.644131i | ||||
\(51\) | 4.22761 | + | 6.87413i | 0.591984 | + | 0.962571i | ||||
\(52\) | −1.95387 | + | 1.36812i | −0.270953 | + | 0.189723i | ||||
\(53\) | −7.52870 | − | 7.52870i | −1.03415 | − | 1.03415i | −0.999396 | − | 0.0347509i | \(-0.988936\pi\) |
−0.0347509 | − | 0.999396i | \(-0.511064\pi\) | |||||||
\(54\) | 13.7721 | + | 1.25944i | 1.87415 | + | 0.171388i | ||||
\(55\) | 0.0645683 | − | 1.48328i | 0.00870639 | − | 0.200005i | ||||
\(56\) | 24.8736 | + | 4.38589i | 3.32388 | + | 0.586089i | ||||
\(57\) | −2.74662 | − | 9.21828i | −0.363799 | − | 1.22099i | ||||
\(58\) | 6.03890 | − | 2.81598i | 0.792946 | − | 0.369757i | ||||
\(59\) | 3.49452 | − | 2.93225i | 0.454948 | − | 0.381747i | −0.386320 | − | 0.922365i | \(-0.626254\pi\) |
0.841268 | + | 0.540618i | \(0.181810\pi\) | |||||||
\(60\) | 8.60036 | − | 17.7110i | 1.11030 | − | 2.28648i | ||||
\(61\) | −5.84534 | + | 2.12753i | −0.748419 | + | 0.272402i | −0.687940 | − | 0.725767i | \(-0.741485\pi\) |
−0.0604785 | + | 0.998169i | \(0.519263\pi\) | |||||||
\(62\) | −1.29496 | − | 4.83286i | −0.164460 | − | 0.613773i | ||||
\(63\) | −3.43118 | + | 8.57130i | −0.432288 | + | 1.07988i | ||||
\(64\) | 13.5701 | − | 7.83468i | 1.69626 | − | 0.979335i | ||||
\(65\) | −1.04816 | + | 0.0459001i | −0.130008 | + | 0.00569321i | ||||
\(66\) | 2.03182 | + | 2.28917i | 0.250100 | + | 0.281777i | ||||
\(67\) | 3.13881 | − | 4.48268i | 0.383466 | − | 0.547646i | −0.580297 | − | 0.814405i | \(-0.697064\pi\) |
0.963763 | + | 0.266758i | \(0.0859525\pi\) | |||||||
\(68\) | −13.5857 | + | 19.4024i | −1.64751 | + | 2.35288i | ||||
\(69\) | −0.0363384 | + | 0.109184i | −0.00437462 | + | 0.0131442i | ||||
\(70\) | 13.5050 | + | 12.3719i | 1.61416 | + | 1.47872i | ||||
\(71\) | −5.33043 | + | 3.07752i | −0.632605 | + | 0.365235i | −0.781760 | − | 0.623579i | \(-0.785678\pi\) |
0.149155 | + | 0.988814i | \(0.452345\pi\) | |||||||
\(72\) | 7.68321 | + | 23.3916i | 0.905475 | + | 2.75673i | ||||
\(73\) | −3.64803 | − | 13.6146i | −0.426970 | − | 1.59347i | −0.759583 | − | 0.650410i | \(-0.774597\pi\) |
0.332613 | − | 0.943063i | \(-0.392070\pi\) | |||||||
\(74\) | −6.34185 | + | 2.30824i | −0.737225 | + | 0.268328i | ||||
\(75\) | 7.37565 | − | 4.53869i | 0.851667 | − | 0.524083i | ||||
\(76\) | 21.6264 | − | 18.1467i | 2.48072 | − | 2.08157i | ||||
\(77\) | −1.85194 | + | 0.863572i | −0.211048 | + | 0.0984131i | ||||
\(78\) | 1.48637 | − | 1.57133i | 0.168298 | − | 0.177918i | ||||
\(79\) | 5.34198 | + | 0.941936i | 0.601020 | + | 0.105976i | 0.465876 | − | 0.884850i | \(-0.345739\pi\) |
0.135144 | + | 0.990826i | \(0.456850\pi\) | |||||||
\(80\) | 26.0833 | + | 1.13543i | 2.91620 | + | 0.126945i | ||||
\(81\) | −8.94450 | + | 0.998001i | −0.993833 | + | 0.110889i | ||||
\(82\) | −3.10910 | − | 3.10910i | −0.343343 | − | 0.343343i | ||||
\(83\) | 4.64599 | − | 3.25316i | 0.509964 | − | 0.357081i | −0.290099 | − | 0.956997i | \(-0.593688\pi\) |
0.800063 | + | 0.599916i | \(0.204799\pi\) | |||||||
\(84\) | −27.0873 | + | 0.752663i | −2.95547 | + | 0.0821222i | ||||
\(85\) | −9.62487 | + | 3.98822i | −1.04396 | + | 0.432583i | ||||
\(86\) | −14.3727 | − | 17.1287i | −1.54984 | − | 1.84703i | ||||
\(87\) | −3.48160 | + | 2.58488i | −0.373267 | + | 0.277128i | ||||
\(88\) | −2.30295 | + | 4.93869i | −0.245495 | + | 0.526466i | ||||
\(89\) | 3.08131 | − | 5.33699i | 0.326619 | − | 0.565720i | −0.655220 | − | 0.755438i | \(-0.727424\pi\) |
0.981839 | + | 0.189718i | \(0.0607574\pi\) | |||||||
\(90\) | −4.41270 | + | 17.3000i | −0.465139 | + | 1.82358i | ||||
\(91\) | 0.721988 | + | 1.25052i | 0.0756849 | + | 0.131090i | ||||
\(92\) | −0.336454 | + | 0.0294359i | −0.0350778 | + | 0.00306891i | ||||
\(93\) | 1.45751 | + | 2.91164i | 0.151137 | + | 0.301923i | ||||
\(94\) | −10.7397 | + | 1.89370i | −1.10772 | + | 0.195320i | ||||
\(95\) | 12.3113 | − | 1.62244i | 1.26312 | − | 0.166459i | ||||
\(96\) | −18.9921 | + | 16.8570i | −1.93837 | + | 1.72046i | ||||
\(97\) | −1.18828 | − | 13.5821i | −0.120652 | − | 1.37906i | −0.779321 | − | 0.626625i | \(-0.784436\pi\) |
0.658669 | − | 0.752433i | \(-0.271120\pi\) | |||||||
\(98\) | 1.70223 | − | 6.35281i | 0.171951 | − | 0.641731i | ||||
\(99\) | −1.59464 | − | 1.19367i | −0.160267 | − | 0.119968i | ||||
\(100\) | 20.8250 | + | 14.5738i | 2.08250 | + | 1.45738i | ||||
\(101\) | −0.629841 | − | 1.73048i | −0.0626716 | − | 0.172189i | 0.904405 | − | 0.426676i | \(-0.140316\pi\) |
−0.967076 | + | 0.254487i | \(0.918093\pi\) | |||||||
\(102\) | 8.53305 | − | 19.7108i | 0.844898 | − | 1.95166i | ||||
\(103\) | −1.42347 | + | 16.2704i | −0.140259 | + | 1.60317i | 0.521368 | + | 0.853332i | \(0.325422\pi\) |
−0.661627 | + | 0.749833i | \(0.730134\pi\) | |||||||
\(104\) | 3.61852 | + | 1.31704i | 0.354826 | + | 0.129146i | ||||
\(105\) | −10.2273 | − | 6.12116i | −0.998086 | − | 0.597364i | ||||
\(106\) | −4.92077 | + | 27.9071i | −0.477947 | + | 2.71057i | ||||
\(107\) | −10.4880 | + | 10.4880i | −1.01391 | + | 1.01391i | −0.0140087 | + | 0.999902i | \(0.504459\pi\) |
−0.999902 | + | 0.0140087i | \(0.995541\pi\) | |||||||
\(108\) | −13.1176 | − | 22.9279i | −1.26225 | − | 2.20624i | ||||
\(109\) | 9.34913i | 0.895484i | 0.894163 | + | 0.447742i | \(0.147772\pi\) | ||||
−0.894163 | + | 0.447742i | \(0.852228\pi\) | |||||||
\(110\) | −3.33238 | + | 2.12357i | −0.317730 | + | 0.202474i | ||||
\(111\) | 3.74113 | − | 2.30081i | 0.355092 | − | 0.218383i | ||||
\(112\) | −15.1858 | − | 32.5661i | −1.43492 | − | 3.07721i | ||||
\(113\) | 20.6993 | + | 1.81095i | 1.94722 | + | 0.170360i | 0.992064 | − | 0.125734i | \(-0.0401285\pi\) |
0.955159 | + | 0.296094i | \(0.0956841\pi\) | |||||||
\(114\) | −15.9045 | + | 20.0605i | −1.48960 | + | 1.87884i | ||||
\(115\) | −0.131781 | − | 0.0685791i | −0.0122886 | − | 0.00639504i | ||||
\(116\) | −11.0219 | − | 6.36351i | −1.02336 | − | 0.590837i | ||||
\(117\) | −0.742094 | + | 1.19610i | −0.0686066 | + | 0.110579i | ||||
\(118\) | −11.7275 | − | 3.14237i | −1.07960 | − | 0.289278i | ||||
\(119\) | 10.9843 | + | 9.21693i | 1.00693 | + | 0.844915i | ||||
\(120\) | −31.3857 | + | 5.02667i | −2.86511 | + | 0.458870i | ||||
\(121\) | 1.83358 | + | 10.3987i | 0.166689 | + | 0.945339i | ||||
\(122\) | 13.5617 | + | 9.49604i | 1.22782 | + | 0.859731i | ||||
\(123\) | 2.38863 | + | 1.57551i | 0.215375 | + | 0.142059i | ||||
\(124\) | −6.14289 | + | 7.32081i | −0.551648 | + | 0.657428i | ||||
\(125\) | 4.28256 | + | 10.3276i | 0.383043 | + | 0.923730i | ||||
\(126\) | 23.9249 | − | 5.60417i | 2.13140 | − | 0.499259i | ||||
\(127\) | 7.35416 | − | 1.97054i | 0.652576 | − | 0.174857i | 0.0826829 | − | 0.996576i | \(-0.473651\pi\) |
0.569893 | + | 0.821719i | \(0.306984\pi\) | |||||||
\(128\) | −11.2214 | − | 5.23265i | −0.991845 | − | 0.462505i | ||||
\(129\) | 11.4025 | + | 9.04019i | 1.00393 | + | 0.795945i | ||||
\(130\) | 1.70017 | + | 2.21511i | 0.149115 | + | 0.194278i | ||||
\(131\) | 4.01388 | − | 11.0280i | 0.350694 | − | 0.963524i | −0.631454 | − | 0.775414i | \(-0.717541\pi\) |
0.982148 | − | 0.188111i | \(-0.0602363\pi\) | |||||||
\(132\) | 1.35570 | − | 5.68695i | 0.117999 | − | 0.494986i | ||||
\(133\) | −9.80281 | − | 13.9999i | −0.850012 | − | 1.21394i | ||||
\(134\) | −14.5647 | −1.25820 | ||||||||
\(135\) | 0.550899 | − | 11.6059i | 0.0474138 | − | 0.998875i | ||||
\(136\) | 38.2388 | 3.27895 | ||||||||
\(137\) | 3.85643 | + | 5.50755i | 0.329477 | + | 0.470542i | 0.949377 | − | 0.314139i | \(-0.101716\pi\) |
−0.619900 | + | 0.784681i | \(0.712827\pi\) | |||||||
\(138\) | 0.293514 | − | 0.0874536i | 0.0249855 | − | 0.00744454i | ||||
\(139\) | 0.519349 | − | 1.42690i | 0.0440506 | − | 0.121028i | −0.915717 | − | 0.401824i | \(-0.868376\pi\) |
0.959767 | + | 0.280796i | \(0.0905985\pi\) | |||||||
\(140\) | 4.56170 | − | 34.6844i | 0.385534 | − | 2.93137i | ||||
\(141\) | 6.59899 | − | 2.61161i | 0.555735 | − | 0.219937i | ||||
\(142\) | 14.8468 | + | 6.92320i | 1.24592 | + | 0.580982i | ||||
\(143\) | −0.300921 | + | 0.0806315i | −0.0251643 | + | 0.00674274i | ||||
\(144\) | 20.9905 | − | 28.0416i | 1.74921 | − | 2.33680i | ||||
\(145\) | −2.58555 | − | 4.96523i | −0.214719 | − | 0.412340i | ||||
\(146\) | −24.1133 | + | 28.7372i | −1.99563 | + | 2.37830i | ||||
\(147\) | −0.254462 | + | 4.27255i | −0.0209876 | + | 0.352394i | ||||
\(148\) | 10.5594 | + | 7.39377i | 0.867978 | + | 0.607764i | ||||
\(149\) | −3.69731 | − | 20.9685i | −0.302895 | − | 1.71780i | −0.633250 | − | 0.773947i | \(-0.718280\pi\) |
0.330355 | − | 0.943857i | \(-0.392832\pi\) | |||||||
\(150\) | −21.1547 | − | 9.15157i | −1.72727 | − | 0.747223i | ||||
\(151\) | 6.08208 | + | 5.10347i | 0.494952 | + | 0.415314i | 0.855797 | − | 0.517312i | \(-0.173067\pi\) |
−0.360845 | + | 0.932626i | \(0.617512\pi\) | |||||||
\(152\) | −44.0239 | − | 11.7962i | −3.57081 | − | 0.956797i | ||||
\(153\) | −2.86240 | + | 13.6816i | −0.231411 | + | 1.10609i | ||||
\(154\) | 4.70986 | + | 2.71924i | 0.379531 | + | 0.219123i | ||||
\(155\) | −4.00885 | + | 1.26456i | −0.321998 | + | 0.101572i | ||||
\(156\) | −4.08694 | − | 0.604116i | −0.327217 | − | 0.0483680i | ||||
\(157\) | −13.6200 | − | 1.19160i | −1.08699 | − | 0.0950997i | −0.470455 | − | 0.882424i | \(-0.655910\pi\) |
−0.616539 | + | 0.787324i | \(0.711466\pi\) | |||||||
\(158\) | −6.10136 | − | 13.0844i | −0.485398 | − | 1.04094i | ||||
\(159\) | −0.512227 | − | 18.4344i | −0.0406223 | − | 1.46194i | ||||
\(160\) | −17.6182 | − | 27.6471i | −1.39284 | − | 2.18570i | ||||
\(161\) | 0.204461i | 0.0161138i | ||||||||
\(162\) | 15.8303 | + | 17.9771i | 1.24374 | + | 1.41241i | ||||
\(163\) | 13.8462 | − | 13.8462i | 1.08452 | − | 1.08452i | 0.0884330 | − | 0.996082i | \(-0.471814\pi\) |
0.996082 | − | 0.0884330i | \(-0.0281859\pi\) | |||||||
\(164\) | −1.45836 | + | 8.27077i | −0.113879 | + | 0.645839i | ||||
\(165\) | 1.84673 | − | 1.78954i | 0.143767 | − | 0.139316i | ||||
\(166\) | −14.1849 | − | 5.16289i | −1.10096 | − | 0.400718i | ||||
\(167\) | −1.91506 | + | 21.8892i | −0.148192 | + | 1.69384i | 0.450435 | + | 0.892809i | \(0.351269\pi\) |
−0.598627 | + | 0.801028i | \(0.704287\pi\) | |||||||
\(168\) | 26.0779 | + | 35.1246i | 2.01195 | + | 2.70992i | ||||
\(169\) | −4.37097 | − | 12.0091i | −0.336228 | − | 0.923779i | ||||
\(170\) | 23.3881 | + | 14.8956i | 1.79379 | + | 1.14244i | ||||
\(171\) | 7.51604 | − | 14.8685i | 0.574766 | − | 1.13702i | ||||
\(172\) | −11.0538 | + | 41.2533i | −0.842842 | + | 3.14553i | ||||
\(173\) | −0.327061 | − | 3.73833i | −0.0248660 | − | 0.284220i | −0.998439 | − | 0.0558456i | \(-0.982215\pi\) |
0.973573 | − | 0.228374i | \(-0.0733410\pi\) | |||||||
\(174\) | 10.9504 | + | 3.64450i | 0.830149 | + | 0.276288i | ||||
\(175\) | 9.88789 | − | 11.7902i | 0.747455 | − | 0.891252i | ||||
\(176\) | 7.63466 | − | 1.34620i | 0.575484 | − | 0.101473i | ||||
\(177\) | 7.88725 | + | 0.469743i | 0.592842 | + | 0.0353081i | ||||
\(178\) | −16.3394 | + | 1.42952i | −1.22469 | + | 0.107147i | ||||
\(179\) | 7.21345 | + | 12.4941i | 0.539158 | + | 0.933850i | 0.998950 | + | 0.0458226i | \(0.0145909\pi\) |
−0.459791 | + | 0.888027i | \(0.652076\pi\) | |||||||
\(180\) | 31.9024 | − | 12.0490i | 2.37786 | − | 0.898079i | ||||
\(181\) | −7.06370 | + | 12.2347i | −0.525041 | + | 0.909397i | 0.474534 | + | 0.880237i | \(0.342617\pi\) |
−0.999575 | + | 0.0291599i | \(0.990717\pi\) | |||||||
\(182\) | 1.62419 | − | 3.48308i | 0.120393 | − | 0.258183i | ||||
\(183\) | −9.88743 | − | 4.28039i | −0.730900 | − | 0.316415i | ||||
\(184\) | 0.350480 | + | 0.417686i | 0.0258378 | + | 0.0307922i | ||||
\(185\) | 2.17052 | + | 5.23817i | 0.159580 | + | 0.385118i | ||||
\(186\) | 4.12289 | − | 7.62247i | 0.302305 | − | 0.558907i | ||||
\(187\) | −2.53415 | + | 1.77443i | −0.185315 | + | 0.129759i | ||||
\(188\) | 14.7289 | + | 14.7289i | 1.07422 | + | 1.07422i | ||||
\(189\) | −14.5194 | + | 6.70121i | −1.05613 | + | 0.487442i | ||||
\(190\) | −22.3314 | − | 24.3641i | −1.62009 | − | 1.76756i | ||||
\(191\) | −2.54718 | − | 0.449136i | −0.184307 | − | 0.0324983i | 0.0807326 | − | 0.996736i | \(-0.474274\pi\) |
−0.265040 | + | 0.964237i | \(0.585385\pi\) | |||||||
\(192\) | 26.4003 | + | 6.29352i | 1.90528 | + | 0.454195i | ||||
\(193\) | −12.9195 | + | 6.02445i | −0.929963 | + | 0.433649i | −0.827740 | − | 0.561112i | \(-0.810374\pi\) |
−0.102224 | + | 0.994761i | \(0.532596\pi\) | |||||||
\(194\) | −27.7975 | + | 23.3248i | −1.99574 | + | 1.67463i | ||||
\(195\) | −1.37352 | − | 1.18982i | −0.0983601 | − | 0.0852050i | ||||
\(196\) | −11.8046 | + | 4.29654i | −0.843189 | + | 0.306896i | ||||
\(197\) | −2.16013 | − | 8.06170i | −0.153903 | − | 0.574372i | −0.999197 | − | 0.0400711i | \(-0.987242\pi\) |
0.845294 | − | 0.534301i | \(-0.179425\pi\) | |||||||
\(198\) | −0.168070 | + | 5.29882i | −0.0119442 | + | 0.376571i | ||||
\(199\) | −3.27312 | + | 1.88973i | −0.232025 | + | 0.133960i | −0.611506 | − | 0.791240i | \(-0.709436\pi\) |
0.379481 | + | 0.925200i | \(0.376103\pi\) | |||||||
\(200\) | −0.0106623 | − | 41.0352i | −0.000753936 | − | 2.90163i | ||||
\(201\) | 9.28506 | − | 1.90454i | 0.654917 | − | 0.134336i | ||||
\(202\) | −2.81124 | + | 4.01487i | −0.197798 | + | 0.282485i | ||||
\(203\) | −4.41923 | + | 6.31132i | −0.310169 | + | 0.442968i | ||||
\(204\) | −40.1885 | + | 8.24340i | −2.81376 | + | 0.577153i | ||||
\(205\) | −2.49534 | + | 2.72389i | −0.174282 | + | 0.190245i | ||||
\(206\) | 37.6453 | − | 21.7345i | 2.62287 | − | 1.51432i | ||||
\(207\) | −0.175681 | + | 0.0941332i | −0.0122107 | + | 0.00654271i | ||||
\(208\) | −1.41790 | − | 5.29166i | −0.0983134 | − | 0.366911i | ||||
\(209\) | 3.46492 | − | 1.26113i | 0.239674 | − | 0.0872341i | ||||
\(210\) | 2.26761 | + | 31.6418i | 0.156480 | + | 2.18349i | ||||
\(211\) | −13.6392 | + | 11.4447i | −0.938964 | + | 0.787885i | −0.977405 | − | 0.211376i | \(-0.932205\pi\) |
0.0384403 | + | 0.999261i | \(0.487761\pi\) | |||||||
\(212\) | 49.0550 | − | 22.8747i | 3.36911 | − | 1.57104i | ||||
\(213\) | −10.3703 | − | 2.47214i | −0.710558 | − | 0.169388i | ||||
\(214\) | 38.8763 | + | 6.85495i | 2.65753 | + | 0.468594i | ||||
\(215\) | −13.8486 | + | 12.6932i | −0.944468 | + | 0.865671i | ||||
\(216\) | −18.1743 | + | 38.5784i | −1.23660 | + | 2.62493i | ||||
\(217\) | 4.09090 | + | 4.09090i | 0.277708 | + | 0.277708i | ||||
\(218\) | 20.3828 | − | 14.2722i | 1.38049 | − | 0.966633i | ||||
\(219\) | 11.6146 | − | 21.4733i | 0.784842 | − | 1.45103i | ||||
\(220\) | 6.97341 | + | 2.88742i | 0.470147 | + | 0.194670i | ||||
\(221\) | 1.40522 | + | 1.67468i | 0.0945254 | + | 0.112651i | ||||
\(222\) | −10.7273 | − | 4.64397i | −0.719968 | − | 0.311683i | ||||
\(223\) | −8.09113 | + | 17.3515i | −0.541822 | + | 1.16194i | 0.424694 | + | 0.905337i | \(0.360382\pi\) |
−0.966516 | + | 0.256605i | \(0.917396\pi\) | |||||||
\(224\) | −22.5602 | + | 39.0754i | −1.50737 | + | 2.61083i | ||||
\(225\) | 14.6829 | + | 3.06791i | 0.978861 | + | 0.204527i | ||||
\(226\) | −27.6508 | − | 47.8926i | −1.83930 | − | 3.18577i | ||||
\(227\) | 0.480953 | − | 0.0420779i | 0.0319220 | − | 0.00279281i | −0.0711836 | − | 0.997463i | \(-0.522678\pi\) |
0.103106 | + | 0.994670i | \(0.467122\pi\) | |||||||
\(228\) | 48.8115 | + | 2.90709i | 3.23262 | + | 0.192526i | ||||
\(229\) | −14.7979 | + | 2.60927i | −0.977875 | + | 0.172426i | −0.639672 | − | 0.768648i | \(-0.720930\pi\) |
−0.338203 | + | 0.941073i | \(0.609819\pi\) | |||||||
\(230\) | 0.0516592 | + | 0.391997i | 0.00340631 | + | 0.0258475i | ||||
\(231\) | −3.35814 | − | 1.11765i | −0.220950 | − | 0.0735359i | ||||
\(232\) | 1.79076 | + | 20.4685i | 0.117569 | + | 1.34382i | ||||
\(233\) | −0.143242 | + | 0.534587i | −0.00938411 | + | 0.0350220i | −0.970459 | − | 0.241266i | \(-0.922438\pi\) |
0.961075 | + | 0.276287i | \(0.0891042\pi\) | |||||||
\(234\) | 3.74056 | − | 0.208035i | 0.244528 | − | 0.0135997i | ||||
\(235\) | 1.98422 | + | 8.94473i | 0.129436 | + | 0.583490i | ||||
\(236\) | 7.93154 | + | 21.7917i | 0.516299 | + | 1.41852i | ||||
\(237\) | 5.60062 | + | 7.54355i | 0.363800 | + | 0.490006i | ||||
\(238\) | 3.32615 | − | 38.0181i | 0.215602 | − | 2.46435i | ||||
\(239\) | 5.32354 | + | 1.93761i | 0.344351 | + | 0.125334i | 0.508406 | − | 0.861118i | \(-0.330235\pi\) |
−0.164054 | + | 0.986451i | \(0.552457\pi\) | |||||||
\(240\) | 31.4689 | + | 32.4745i | 2.03131 | + | 2.09622i | ||||
\(241\) | 0.317967 | − | 1.80328i | 0.0204821 | − | 0.116160i | −0.972853 | − | 0.231426i | \(-0.925661\pi\) |
0.993335 | + | 0.115266i | \(0.0367721\pi\) | |||||||
\(242\) | 19.8720 | − | 19.8720i | 1.27742 | − | 1.27742i | ||||
\(243\) | −12.4426 | − | 9.39045i | −0.798196 | − | 0.602397i | ||||
\(244\) | − | 31.6225i | − | 2.02442i | ||||||
\(245\) | −5.39478 | − | 1.19526i | −0.344660 | − | 0.0763623i | ||||
\(246\) | −0.211532 | − | 7.61277i | −0.0134868 | − | 0.485372i | ||||
\(247\) | −1.10120 | − | 2.36153i | −0.0700677 | − | 0.150261i | ||||
\(248\) | 15.3696 | + | 1.34467i | 0.975973 | + | 0.0853866i | ||||
\(249\) | 9.71810 | + | 1.43649i | 0.615859 | + | 0.0910340i | ||||
\(250\) | 15.9784 | − | 25.1026i | 1.01056 | − | 1.58763i | ||||
\(251\) | −16.8470 | − | 9.72663i | −1.06337 | − | 0.613939i | −0.137011 | − | 0.990570i | \(-0.543749\pi\) |
−0.926364 | + | 0.376630i | \(0.877083\pi\) | |||||||
\(252\) | −34.9796 | − | 31.2937i | −2.20351 | − | 1.97132i | ||||
\(253\) | −0.0426091 | − | 0.0114171i | −0.00267881 | − | 0.000717786i | ||||
\(254\) | −15.5228 | − | 13.0252i | −0.973988 | − | 0.817273i | ||||
\(255\) | −16.8579 | − | 6.43771i | −1.05568 | − | 0.403145i | ||||
\(256\) | 0.280392 | + | 1.59018i | 0.0175245 | + | 0.0993864i | ||||
\(257\) | −24.5109 | − | 17.1627i | −1.52895 | − | 1.07058i | −0.970518 | − | 0.241027i | \(-0.922516\pi\) |
−0.558428 | − | 0.829553i | \(-0.688595\pi\) | |||||||
\(258\) | 2.30248 | − | 38.6600i | 0.143346 | − | 2.40686i | ||||
\(259\) | 5.01616 | − | 5.97802i | 0.311689 | − | 0.371456i | ||||
\(260\) | 1.60317 | − | 5.08690i | 0.0994243 | − | 0.315476i | ||||
\(261\) | −7.45753 | − | 0.891463i | −0.461609 | − | 0.0551802i | ||||
\(262\) | −30.1706 | + | 8.08418i | −1.86394 | + | 0.499442i | ||||
\(263\) | 7.60797 | + | 3.54766i | 0.469128 | + | 0.218758i | 0.642782 | − | 0.766049i | \(-0.277780\pi\) |
−0.173655 | + | 0.984807i | \(0.555558\pi\) | |||||||
\(264\) | −8.77607 | + | 3.47321i | −0.540130 | + | 0.213761i | ||||
\(265\) | 23.6046 | + | 3.10448i | 1.45002 | + | 0.190707i | ||||
\(266\) | −15.5574 | + | 42.7437i | −0.953888 | + | 2.62079i | ||||
\(267\) | 10.2296 | − | 3.04794i | 0.626039 | − | 0.186531i | ||||
\(268\) | 15.9565 | + | 22.7882i | 0.974696 | + | 1.39201i | ||||
\(269\) | 2.21545 | 0.135079 | 0.0675393 | − | 0.997717i | \(-0.478485\pi\) | ||||
0.0675393 | + | 0.997717i | \(0.478485\pi\) | |||||||
\(270\) | −26.1439 | + | 16.5162i | −1.59107 | + | 1.00514i | ||||
\(271\) | −5.87725 | −0.357017 | −0.178509 | − | 0.983938i | \(-0.557127\pi\) | ||||
−0.178509 | + | 0.983938i | \(0.557127\pi\) | |||||||
\(272\) | −31.2031 | − | 44.5627i | −1.89197 | − | 2.70201i | ||||
\(273\) | −0.579966 | + | 2.43287i | −0.0351011 | + | 0.147244i | ||||
\(274\) | 6.12031 | − | 16.8154i | 0.369741 | − | 1.01586i | ||||
\(275\) | 1.90490 | + | 2.71897i | 0.114870 | + | 0.163960i | ||||
\(276\) | −0.458394 | − | 0.363427i | −0.0275920 | − | 0.0218757i | ||||
\(277\) | 10.2541 | + | 4.78156i | 0.616108 | + | 0.287296i | 0.705510 | − | 0.708700i | \(-0.250718\pi\) |
−0.0894020 | + | 0.995996i | \(0.528496\pi\) | |||||||
\(278\) | −3.90372 | + | 1.04600i | −0.234130 | + | 0.0627348i | ||||
\(279\) | −1.63162 | + | 5.39850i | −0.0976826 | + | 0.323199i | ||||
\(280\) | −50.0924 | + | 26.0847i | −2.99359 | + | 1.55886i | ||||
\(281\) | 13.9719 | − | 16.6511i | 0.833496 | − | 0.993322i | −0.166478 | − | 0.986045i | \(-0.553239\pi\) |
0.999974 | − | 0.00727642i | \(-0.00231618\pi\) | |||||||
\(282\) | −15.7676 | − | 10.4001i | −0.938950 | − | 0.619320i | ||||
\(283\) | 10.7514 | + | 7.52820i | 0.639103 | + | 0.447505i | 0.847685 | − | 0.530500i | \(-0.177996\pi\) |
−0.208582 | + | 0.978005i | \(0.566885\pi\) | |||||||
\(284\) | −5.43342 | − | 30.8145i | −0.322414 | − | 1.82850i | ||||
\(285\) | 17.4223 | + | 12.6121i | 1.03201 | + | 0.747076i | ||||
\(286\) | 0.635170 | + | 0.532971i | 0.0375584 | + | 0.0315152i | ||||
\(287\) | 4.91097 | + | 1.31589i | 0.289885 | + | 0.0776745i | ||||
\(288\) | −43.9617 | − | 1.39439i | −2.59047 | − | 0.0821654i | ||||
\(289\) | 4.07794 | + | 2.35440i | 0.239879 | + | 0.138494i | ||||
\(290\) | −6.87803 | + | 13.2168i | −0.403892 | + | 0.776115i | ||||
\(291\) | 14.6710 | − | 18.5046i | 0.860029 | − | 1.08476i | ||||
\(292\) | 71.3804 | + | 6.24497i | 4.17722 | + | 0.365460i | ||||
\(293\) | 1.80181 | + | 3.86399i | 0.105263 | + | 0.225736i | 0.951884 | − | 0.306460i | \(-0.0991446\pi\) |
−0.846621 | + | 0.532196i | \(0.821367\pi\) | |||||||
\(294\) | 9.70336 | − | 5.96760i | 0.565912 | − | 0.348037i | ||||
\(295\) | −2.20648 | + | 9.95893i | −0.128466 | + | 0.579831i | ||||
\(296\) | − | 20.8108i | − | 1.20960i | ||||||
\(297\) | −0.585751 | − | 3.40001i | −0.0339887 | − | 0.197288i | ||||
\(298\) | −40.0708 | + | 40.0708i | −2.32124 | + | 2.32124i | ||||
\(299\) | −0.00541301 | + | 0.0306987i | −0.000313043 | + | 0.00177535i | ||||
\(300\) | 8.85744 | + | 43.1251i | 0.511384 | + | 2.48983i | ||||
\(301\) | 24.2957 | + | 8.84290i | 1.40038 | + | 0.509696i | ||||
\(302\) | 1.84171 | − | 21.0508i | 0.105978 | − | 1.21134i | ||||
\(303\) | 1.26718 | − | 2.92711i | 0.0727977 | − | 0.168158i | ||||
\(304\) | 22.1768 | + | 60.9303i | 1.27193 | + | 3.49459i | ||||
\(305\) | 7.47200 | − | 11.7320i | 0.427845 | − | 0.671775i | ||||
\(306\) | 34.1980 | − | 14.6455i | 1.95497 | − | 0.837225i | ||||
\(307\) | −4.82189 | + | 17.9955i | −0.275200 | + | 1.02706i | 0.680508 | + | 0.732741i | \(0.261759\pi\) |
−0.955707 | + | 0.294318i | \(0.904907\pi\) | |||||||
\(308\) | −0.905354 | − | 10.3482i | −0.0515873 | − | 0.589646i | ||||
\(309\) | −21.1570 | + | 18.7785i | −1.20358 | + | 1.06827i | ||||
\(310\) | 8.87677 | + | 6.80956i | 0.504167 | + | 0.386757i | ||||
\(311\) | −8.07539 | + | 1.42391i | −0.457913 | + | 0.0807425i | −0.397847 | − | 0.917452i | \(-0.630242\pi\) |
−0.0600667 | + | 0.998194i | \(0.519131\pi\) | |||||||
\(312\) | 2.98555 | + | 5.96418i | 0.169023 | + | 0.337655i | ||||
\(313\) | −18.9940 | + | 1.66176i | −1.07360 | + | 0.0939283i | −0.610222 | − | 0.792230i | \(-0.708920\pi\) |
−0.463382 | + | 0.886158i | \(0.653364\pi\) | |||||||
\(314\) | 18.1941 | + | 31.5131i | 1.02675 | + | 1.77839i | ||||
\(315\) | −5.58323 | − | 19.8753i | −0.314579 | − | 1.11985i | ||||
\(316\) | −13.7877 | + | 23.8811i | −0.775621 | + | 1.34342i | ||||
\(317\) | −7.17642 | + | 15.3899i | −0.403068 | + | 0.864382i | 0.595087 | + | 0.803661i | \(0.297118\pi\) |
−0.998155 | + | 0.0607206i | \(0.980660\pi\) | |||||||
\(318\) | −39.4082 | + | 29.2582i | −2.20990 | + | 1.64072i | ||||
\(319\) | −1.06849 | − | 1.27338i | −0.0598241 | − | 0.0712956i | ||||
\(320\) | −13.4042 | + | 32.3724i | −0.749315 | + | 1.80967i | ||||
\(321\) | −25.6803 | + | 0.713566i | −1.43333 | + | 0.0398274i | ||||
\(322\) | 0.445761 | − | 0.312125i | 0.0248413 | − | 0.0173941i | ||||
\(323\) | −18.2962 | − | 18.2962i | −1.01803 | − | 1.01803i | ||||
\(324\) | 10.7843 | − | 44.4633i | 0.599127 | − | 2.47019i | ||||
\(325\) | 1.79675 | − | 1.50845i | 0.0996659 | − | 0.0836738i | ||||
\(326\) | −51.3243 | − | 9.04986i | −2.84259 | − | 0.501225i | ||||
\(327\) | −11.1278 | + | 11.7639i | −0.615371 | + | 0.650546i | ||||
\(328\) | 12.2881 | − | 5.73003i | 0.678497 | − | 0.316388i | ||||
\(329\) | 9.65980 | − | 8.10554i | 0.532562 | − | 0.446873i | ||||
\(330\) | −6.72069 | − | 1.29431i | −0.369962 | − | 0.0712496i | ||||
\(331\) | 13.3657 | − | 4.86470i | 0.734643 | − | 0.267388i | 0.0525142 | − | 0.998620i | \(-0.483277\pi\) |
0.682129 | + | 0.731232i | \(0.261054\pi\) | |||||||
\(332\) | 7.46247 | + | 27.8503i | 0.409556 | + | 1.52848i | ||||
\(333\) | 7.44597 | + | 1.55781i | 0.408037 | + | 0.0853676i | ||||
\(334\) | 50.6458 | − | 29.2404i | 2.77122 | − | 1.59996i | ||||
\(335\) | 0.535338 | + | 12.2248i | 0.0292486 | + | 0.667913i | ||||
\(336\) | 19.6537 | − | 59.0526i | 1.07220 | − | 3.22158i | ||||
\(337\) | −3.90887 | + | 5.58245i | −0.212930 | + | 0.304095i | −0.911382 | − | 0.411561i | \(-0.864984\pi\) |
0.698452 | + | 0.715657i | \(0.253872\pi\) | |||||||
\(338\) | −19.5094 | + | 27.8623i | −1.06117 | + | 1.51551i | ||||
\(339\) | 23.8902 | + | 26.9161i | 1.29754 | + | 1.46188i | ||||
\(340\) | −2.31710 | − | 52.9126i | −0.125662 | − | 2.86959i | ||||
\(341\) | −1.08097 | + | 0.624097i | −0.0585377 | + | 0.0337968i | ||||
\(342\) | −43.8897 | + | 6.31153i | −2.37328 | + | 0.341288i | ||||
\(343\) | −3.60734 | − | 13.4628i | −0.194778 | − | 0.726922i | ||||
\(344\) | 64.7910 | − | 23.5820i | 3.49330 | − | 1.27146i | ||||
\(345\) | −0.0841923 | − | 0.243145i | −0.00453276 | − | 0.0130905i | ||||
\(346\) | −7.65094 | + | 6.41990i | −0.411317 | + | 0.345136i | ||||
\(347\) | −12.4642 | + | 5.81216i | −0.669114 | + | 0.312013i | −0.727327 | − | 0.686291i | \(-0.759238\pi\) |
0.0582130 | + | 0.998304i | \(0.481460\pi\) | |||||||
\(348\) | −6.29459 | − | 21.1260i | −0.337425 | − | 1.13247i | ||||
\(349\) | −26.3484 | − | 4.64594i | −1.41040 | − | 0.248691i | −0.583990 | − | 0.811761i | \(-0.698509\pi\) |
−0.826409 | + | 0.563070i | \(0.809620\pi\) | |||||||
\(350\) | −40.7993 | − | 3.55879i | −2.18081 | − | 0.190225i | ||||
\(351\) | −2.35743 | + | 0.621756i | −0.125830 | + | 0.0331869i | ||||
\(352\) | −6.88345 | − | 6.88345i | −0.366889 | − | 0.366889i | ||||
\(353\) | −0.0387563 | + | 0.0271374i | −0.00206279 | + | 0.00144438i | −0.574607 | − | 0.818429i | \(-0.694845\pi\) |
0.572545 | + | 0.819874i | \(0.305956\pi\) | |||||||
\(354\) | −11.0164 | − | 17.9127i | −0.585513 | − | 0.952049i | ||||
\(355\) | 5.26526 | − | 12.7161i | 0.279451 | − | 0.674902i | ||||
\(356\) | 20.1375 | + | 23.9989i | 1.06729 | + | 1.27194i | ||||
\(357\) | 2.85097 | + | 24.6717i | 0.150889 | + | 1.30576i | ||||
\(358\) | 16.2274 | − | 34.7997i | 0.857644 | − | 1.83922i | ||||
\(359\) | 9.42597 | − | 16.3263i | 0.497484 | − | 0.861667i | −0.502512 | − | 0.864570i | \(-0.667591\pi\) |
0.999996 | + | 0.00290290i | \(0.000924023\pi\) | |||||||
\(360\) | −45.4754 | − | 31.0320i | −2.39676 | − | 1.63553i | ||||
\(361\) | 5.92010 | + | 10.2539i | 0.311584 | + | 0.539680i | ||||
\(362\) | 37.4571 | − | 3.27707i | 1.96870 | − | 0.172239i | ||||
\(363\) | −10.0700 | + | 15.2670i | −0.528535 | + | 0.801312i | ||||
\(364\) | −7.22909 | + | 1.27468i | −0.378907 | + | 0.0668116i | ||||
\(365\) | 25.0068 | + | 19.1832i | 1.30891 | + | 1.00409i | ||||
\(366\) | 5.76192 | + | 28.0907i | 0.301180 | + | 1.46832i | ||||
\(367\) | −1.72794 | − | 19.7504i | −0.0901977 | − | 1.03096i | −0.897555 | − | 0.440902i | \(-0.854659\pi\) |
0.807357 | − | 0.590063i | \(-0.200897\pi\) | |||||||
\(368\) | 0.200768 | − | 0.749277i | 0.0104658 | − | 0.0390588i | ||||
\(369\) | 1.13033 | + | 4.82552i | 0.0588427 | + | 0.251207i | ||||
\(370\) | 8.10668 | − | 12.7286i | 0.421446 | − | 0.661728i | ||||
\(371\) | −11.2070 | − | 30.7909i | −0.581836 | − | 1.59858i | ||||
\(372\) | −16.4432 | + | 1.90011i | −0.852538 | + | 0.0985160i | ||||
\(373\) | 1.84840 | − | 21.1273i | 0.0957063 | − | 1.09393i | −0.784754 | − | 0.619808i | \(-0.787211\pi\) |
0.880460 | − | 0.474120i | \(-0.157234\pi\) | |||||||
\(374\) | 7.73714 | + | 2.81609i | 0.400078 | + | 0.145616i | ||||
\(375\) | −6.90379 | + | 18.0925i | −0.356510 | + | 0.934291i | ||||
\(376\) | 5.83943 | − | 33.1170i | 0.301145 | − | 1.70788i | ||||
\(377\) | −0.830613 | + | 0.830613i | −0.0427788 | + | 0.0427788i | ||||
\(378\) | 36.7749 | + | 21.4250i | 1.89150 | + | 1.10199i | ||||
\(379\) | 4.95221i | 0.254378i | 0.991878 | + | 0.127189i | \(0.0405955\pi\) | ||||
−0.991878 | + | 0.127189i | \(0.959405\pi\) | |||||||
\(380\) | −13.6552 | + | 61.6325i | −0.700497 | + | 3.16168i | ||||
\(381\) | 11.5991 | + | 6.27381i | 0.594241 | + | 0.321417i | ||||
\(382\) | 2.90926 | + | 6.23894i | 0.148851 | + | 0.319212i | ||||
\(383\) | −28.1753 | − | 2.46502i | −1.43969 | − | 0.125957i | −0.659596 | − | 0.751620i | \(-0.729273\pi\) |
−0.780093 | + | 0.625663i | \(0.784828\pi\) | |||||||
\(384\) | −7.89166 | − | 19.9406i | −0.402720 | − | 1.01759i | ||||
\(385\) | 2.10927 | − | 4.05316i | 0.107498 | − | 0.206568i | ||||
\(386\) | 32.8569 | + | 18.9699i | 1.67237 | + | 0.965545i | ||||
\(387\) | 3.58749 | + | 24.9470i | 0.182362 | + | 1.26813i | ||||
\(388\) | 66.9484 | + | 17.9388i | 3.39879 | + | 0.910703i | ||||
\(389\) | −22.5434 | − | 18.9162i | −1.14300 | − | 0.959088i | −0.143463 | − | 0.989656i | \(-0.545824\pi\) |
−0.999533 | + | 0.0305681i | \(0.990268\pi\) | |||||||
\(390\) | −0.497234 | + | 4.81088i | −0.0251784 | + | 0.243608i | ||||
\(391\) | 0.0537524 | + | 0.304845i | 0.00271838 | + | 0.0154167i | ||||
\(392\) | 16.6129 | + | 11.6325i | 0.839080 | + | 0.587530i | ||||
\(393\) | 18.1768 | − | 9.09894i | 0.916898 | − | 0.458981i | ||||
\(394\) | −14.2783 | + | 17.0163i | −0.719332 | + | 0.857267i | ||||
\(395\) | −10.7581 | + | 5.60209i | −0.541299 | + | 0.281872i | ||||
\(396\) | 8.47479 | − | 5.54221i | 0.425874 | − | 0.278507i | ||||
\(397\) | 18.9334 | − | 5.07320i | 0.950242 | − | 0.254616i | 0.249777 | − | 0.968303i | \(-0.419643\pi\) |
0.700465 | + | 0.713687i | \(0.252976\pi\) | |||||||
\(398\) | 9.11662 | + | 4.25115i | 0.456975 | + | 0.213091i | ||||
\(399\) | 4.32861 | − | 29.2837i | 0.216702 | − | 1.46602i | ||||
\(400\) | −47.8128 | + | 33.4974i | −2.39064 | + | 1.67487i | ||||
\(401\) | −0.0115561 | + | 0.0317502i | −0.000577086 | + | 0.00158553i | −0.939981 | − | 0.341227i | \(-0.889157\pi\) |
0.939404 | + | 0.342813i | \(0.111380\pi\) | |||||||
\(402\) | −18.3266 | − | 17.3356i | −0.914047 | − | 0.864624i | ||||
\(403\) | 0.505922 | + | 0.722531i | 0.0252018 | + | 0.0359918i | ||||
\(404\) | 9.36163 | 0.465759 | ||||||||
\(405\) | 14.5071 | − | 13.9479i | 0.720866 | − | 0.693075i | ||||
\(406\) | 20.5061 | 1.01770 | ||||||||
\(407\) | 0.965702 | + | 1.37917i | 0.0478681 | + | 0.0683627i | ||||
\(408\) | 48.1156 | + | 45.5139i | 2.38207 | + | 2.25327i | ||||
\(409\) | −3.01485 | + | 8.28322i | −0.149075 | + | 0.409579i | −0.991643 | − | 0.129010i | \(-0.958820\pi\) |
0.842569 | + | 0.538589i | \(0.181042\pi\) | |||||||
\(410\) | 9.74789 | + | 1.28205i | 0.481414 | + | 0.0633157i | ||||
\(411\) | −1.70288 | + | 11.5202i | −0.0839967 | + | 0.568251i | ||||
\(412\) | −75.2490 | − | 35.0892i | −3.70725 | − | 1.72872i | ||||
\(413\) | 13.5606 | − | 3.63355i | 0.667272 | − | 0.178795i | ||||
\(414\) | 0.473417 | + | 0.239314i | 0.0232672 | + | 0.0117616i | ||||
\(415\) | −3.81208 | + | 12.0959i | −0.187128 | + | 0.593762i | ||||
\(416\) | −4.42180 | + | 5.26969i | −0.216796 | + | 0.258368i | ||||
\(417\) | 2.35187 | − | 1.17730i | 0.115171 | − | 0.0576525i | ||||
\(418\) | −8.03896 | − | 5.62894i | −0.393198 | − | 0.275320i | ||||
\(419\) | 5.75122 | + | 32.6168i | 0.280966 | + | 1.59344i | 0.719350 | + | 0.694648i | \(0.244440\pi\) |
−0.438384 | + | 0.898788i | \(0.644449\pi\) | |||||||
\(420\) | 47.0232 | − | 38.2134i | 2.29450 | − | 1.86463i | ||||
\(421\) | 12.7180 | + | 10.6716i | 0.619835 | + | 0.520104i | 0.897752 | − | 0.440502i | \(-0.145199\pi\) |
−0.277916 | + | 0.960605i | \(0.589644\pi\) | |||||||
\(422\) | 45.7728 | + | 12.2648i | 2.22819 | + | 0.597040i | ||||
\(423\) | 11.4119 | + | 4.56831i | 0.554867 | + | 0.222119i | ||||
\(424\) | −75.6750 | − | 43.6910i | −3.67510 | − | 2.12182i | ||||
\(425\) | 11.6429 | − | 20.1783i | 0.564765 | − | 0.978789i | ||||
\(426\) | 10.4413 | + | 26.3829i | 0.505882 | + | 1.27826i | ||||
\(427\) | −19.0708 | − | 1.66848i | −0.922901 | − | 0.0807433i | ||||
\(428\) | −31.8660 | − | 68.3368i | −1.54030 | − | 3.30318i | ||||
\(429\) | −0.474618 | − | 0.256714i | −0.0229148 | − | 0.0123943i | ||||
\(430\) | 48.8145 | + | 10.8153i | 2.35404 | + | 0.521558i | ||||
\(431\) | 14.4385i | 0.695480i | 0.937591 | + | 0.347740i | \(0.113051\pi\) | ||||
−0.937591 | + | 0.347740i | \(0.886949\pi\) | |||||||
\(432\) | 59.7888 | − | 10.3004i | 2.87659 | − | 0.495577i | ||||
\(433\) | 16.4822 | − | 16.4822i | 0.792085 | − | 0.792085i | −0.189748 | − | 0.981833i | \(-0.560767\pi\) |
0.981833 | + | 0.189748i | \(0.0607670\pi\) | |||||||
\(434\) | 2.67381 | − | 15.1640i | 0.128347 | − | 0.727893i | ||||
\(435\) | 2.65650 | − | 9.32517i | 0.127370 | − | 0.447107i | ||||
\(436\) | −44.6611 | − | 16.2553i | −2.13888 | − | 0.778488i | ||||
\(437\) | 0.0321562 | − | 0.367547i | 0.00153824 | − | 0.0175821i | ||||
\(438\) | −64.5461 | + | 7.45870i | −3.08413 | + | 0.356390i | ||||
\(439\) | 10.9388 | + | 30.0541i | 0.522080 | + | 1.43440i | 0.868201 | + | 0.496213i | \(0.165277\pi\) |
−0.346121 | + | 0.938190i | \(0.612501\pi\) | |||||||
\(440\) | −2.63883 | − | 11.8957i | −0.125801 | − | 0.567105i | ||||
\(441\) | −5.40560 | + | 5.07323i | −0.257410 | + | 0.241582i | ||||
\(442\) | 1.50592 | − | 5.62015i | 0.0716291 | − | 0.267323i | ||||
\(443\) | −1.56526 | − | 17.8910i | −0.0743677 | − | 0.850027i | −0.938165 | − | 0.346188i | \(-0.887476\pi\) |
0.863798 | − | 0.503839i | \(-0.168080\pi\) | |||||||
\(444\) | 4.48633 | + | 21.8719i | 0.212912 | + | 1.03799i | ||||
\(445\) | 1.80043 | + | 13.6619i | 0.0853487 | + | 0.647638i | ||||
\(446\) | 50.1811 | − | 8.84827i | 2.37614 | − | 0.418978i | ||||
\(447\) | 20.3055 | − | 30.7852i | 0.960418 | − | 1.45609i | ||||
\(448\) | 48.0392 | − | 4.20289i | 2.26964 | − | 0.198568i | ||||
\(449\) | 6.63475 | + | 11.4917i | 0.313113 | + | 0.542328i | 0.979035 | − | 0.203694i | \(-0.0652947\pi\) |
−0.665921 | + | 0.746022i | \(0.731961\pi\) | |||||||
\(450\) | −15.7260 | − | 36.6948i | −0.741331 | − | 1.72981i | ||||
\(451\) | −0.548456 | + | 0.949953i | −0.0258258 | + | 0.0447316i | ||||
\(452\) | −44.6407 | + | 95.7323i | −2.09972 | + | 4.50287i | ||||
\(453\) | 1.57860 | + | 13.6609i | 0.0741689 | + | 0.641843i | ||||
\(454\) | −0.825948 | − | 0.984327i | −0.0387637 | − | 0.0461968i | ||||
\(455\) | −2.98321 | − | 1.23523i | −0.139855 | − | 0.0579086i | ||||
\(456\) | −41.3545 | − | 67.2427i | −1.93660 | − | 3.14893i | ||||
\(457\) | 6.59496 | − | 4.61784i | 0.308499 | − | 0.216013i | −0.409066 | − | 0.912505i | \(-0.634145\pi\) |
0.717565 | + | 0.696491i | \(0.245257\pi\) | |||||||
\(458\) | 28.2789 | + | 28.2789i | 1.32138 | + | 1.32138i | ||||
\(459\) | −19.8863 | + | 13.8084i | −0.928213 | + | 0.644522i | ||||
\(460\) | 0.556732 | − | 0.510284i | 0.0259578 | − | 0.0237921i | ||||
\(461\) | −14.1578 | − | 2.49640i | −0.659393 | − | 0.116269i | −0.166068 | − | 0.986114i | \(-0.553107\pi\) |
−0.493324 | + | 0.869846i | \(0.664218\pi\) | |||||||
\(462\) | 2.68979 | + | 9.02752i | 0.125140 | + | 0.419998i | ||||
\(463\) | 18.8558 | − | 8.79261i | 0.876304 | − | 0.408627i | 0.0682032 | − | 0.997671i | \(-0.478273\pi\) |
0.808101 | + | 0.589044i | \(0.200496\pi\) | |||||||
\(464\) | 22.3922 | − | 18.7893i | 1.03953 | − | 0.872272i | ||||
\(465\) | −6.54944 | − | 3.18037i | −0.303723 | − | 0.147486i | ||||
\(466\) | 1.38417 | − | 0.503795i | 0.0641202 | − | 0.0233378i | ||||
\(467\) | −6.38314 | − | 23.8222i | −0.295376 | − | 1.10236i | −0.940918 | − | 0.338635i | \(-0.890035\pi\) |
0.645542 | − | 0.763725i | \(-0.276632\pi\) | |||||||
\(468\) | −4.42351 | − | 5.62465i | −0.204477 | − | 0.260000i | ||||
\(469\) | 14.5849 | − | 8.42062i | 0.673470 | − | 0.388828i | ||||
\(470\) | 16.4720 | − | 17.9808i | 0.759799 | − | 0.829391i | ||||
\(471\) | −15.7196 | − | 17.7106i | −0.724322 | − | 0.816063i | ||||
\(472\) | 21.4739 | − | 30.6679i | 0.988418 | − | 1.41161i | ||||
\(473\) | −3.19951 | + | 4.56937i | −0.147113 | + | 0.210100i | ||||
\(474\) | 7.89648 | − | 23.7262i | 0.362698 | − | 1.08978i | ||||
\(475\) | −19.6291 | + | 19.6393i | −0.900646 | + | 0.901114i | ||||
\(476\) | −63.1279 | + | 36.4469i | −2.89346 | + | 1.67054i | ||||
\(477\) | 21.2970 | − | 23.8055i | 0.975125 | − | 1.08998i | ||||
\(478\) | −3.90246 | − | 14.5642i | −0.178494 | − | 0.666150i | ||||
\(479\) | −25.2593 | + | 9.19362i | −1.15412 | + | 0.420067i | −0.846995 | − | 0.531601i | \(-0.821591\pi\) |
−0.307130 | + | 0.951668i | \(0.599368\pi\) | |||||||
\(480\) | 10.7383 | − | 55.7583i | 0.490133 | − | 2.54501i | ||||
\(481\) | 0.911414 | − | 0.764768i | 0.0415569 | − | 0.0348704i | ||||
\(482\) | −4.41687 | + | 2.05962i | −0.201183 | + | 0.0938132i | ||||
\(483\) | −0.243361 | + | 0.257271i | −0.0110733 | + | 0.0117063i | ||||
\(484\) | −52.8631 | − | 9.32118i | −2.40287 | − | 0.423690i | ||||
\(485\) | 20.5994 | + | 22.4744i | 0.935369 | + | 1.02051i | ||||
\(486\) | −1.47818 | + | 41.4624i | −0.0670516 | + | 1.88077i | ||||
\(487\) | 1.39406 | + | 1.39406i | 0.0631711 | + | 0.0631711i | 0.737987 | − | 0.674815i | \(-0.235777\pi\) |
−0.674815 | + | 0.737987i | \(0.735777\pi\) | |||||||
\(488\) | −41.8191 | + | 29.2821i | −1.89306 | + | 1.32554i | ||||
\(489\) | 33.9029 | − | 0.942045i | 1.53314 | − | 0.0426008i | ||||
\(490\) | 5.62967 | + | 13.5862i | 0.254323 | + | 0.613764i | ||||
\(491\) | −15.2423 | − | 18.1651i | −0.687875 | − | 0.819777i | 0.303222 | − | 0.952920i | \(-0.401938\pi\) |
−0.991097 | + | 0.133143i | \(0.957493\pi\) | |||||||
\(492\) | −11.6794 | + | 8.67121i | −0.526546 | + | 0.390928i | ||||
\(493\) | −4.92970 | + | 10.5718i | −0.222023 | + | 0.476129i | ||||
\(494\) | −3.46749 | + | 6.00587i | −0.156010 | + | 0.270217i | ||||
\(495\) | 4.45373 | − | 0.0536944i | 0.200180 | − | 0.00241338i | ||||
\(496\) | −10.9747 | − | 19.0087i | −0.492778 | − | 0.853516i | ||||
\(497\) | −18.8702 | + | 1.65093i | −0.846444 | + | 0.0740542i | ||||
\(498\) | −11.7036 | − | 23.3801i | −0.524451 | − | 1.04769i | ||||
\(499\) | −30.8900 | + | 5.44673i | −1.38282 | + | 0.243829i | −0.815067 | − | 0.579366i | \(-0.803300\pi\) |
−0.567758 | + | 0.823196i | \(0.692189\pi\) | |||||||
\(500\) | −56.7814 | + | 2.50130i | −2.53934 | + | 0.111862i | ||||
\(501\) | −28.4634 | + | 25.2636i | −1.27165 | + | 1.12869i | ||||
\(502\) | 4.51248 | + | 51.5779i | 0.201402 | + | 2.30204i | ||||
\(503\) | −1.59547 | + | 5.95437i | −0.0711385 | + | 0.265492i | −0.992330 | − | 0.123617i | \(-0.960551\pi\) |
0.921192 | + | 0.389109i | \(0.127217\pi\) | |||||||
\(504\) | −8.99365 | + | 75.2363i | −0.400609 | + | 3.35129i | ||||
\(505\) | 3.47320 | + | 2.21204i | 0.154555 | + | 0.0984344i | ||||
\(506\) | 0.0401548 | + | 0.110325i | 0.00178510 | + | 0.00490452i | ||||
\(507\) | 8.79397 | − | 20.3135i | 0.390554 | − | 0.902156i | ||||
\(508\) | −3.37332 | + | 38.5572i | −0.149667 | + | 1.71070i | ||||
\(509\) | −18.3832 | − | 6.69092i | −0.814819 | − | 0.296570i | −0.0992061 | − | 0.995067i | \(-0.531630\pi\) |
−0.715613 | + | 0.698497i | \(0.753853\pi\) | |||||||
\(510\) | 11.6995 | + | 46.5808i | 0.518063 | + | 2.06263i | ||||
\(511\) | 7.53240 | − | 42.7184i | 0.333214 | − | 1.88975i | ||||
\(512\) | −14.4712 | + | 14.4712i | −0.639545 | + | 0.639545i | ||||
\(513\) | 27.1546 | − | 9.76284i | 1.19890 | − | 0.431040i | ||||
\(514\) | 79.6382i | 3.51269i | ||||||||
\(515\) | −19.6265 | − | 30.7986i | −0.864847 | − | 1.35715i | ||||
\(516\) | −63.0107 | + | 38.7518i | −2.77389 | + | 1.70595i | ||||
\(517\) | 1.14977 | + | 2.46569i | 0.0505668 | + | 0.108441i | ||||
\(518\) | −20.6907 | − | 1.81020i | −0.909097 | − | 0.0795357i | ||||
\(519\) | 4.03802 | − | 5.09319i | 0.177250 | − | 0.223566i | ||||
\(520\) | −8.21169 | + | 2.59031i | −0.360106 | + | 0.113593i | ||||
\(521\) | 1.02507 | + | 0.591824i | 0.0449091 | + | 0.0259283i | 0.522286 | − | 0.852770i | \(-0.325079\pi\) |
−0.477377 | + | 0.878698i | \(0.658413\pi\) | |||||||
\(522\) | 9.44094 | + | 17.6196i | 0.413219 | + | 0.771190i | ||||
\(523\) | 43.1925 | + | 11.5734i | 1.88868 | + | 0.506069i | 0.998751 | + | 0.0499636i | \(0.0159105\pi\) |
0.889926 | + | 0.456106i | \(0.150756\pi\) | |||||||
\(524\) | 45.7023 | + | 38.3488i | 1.99652 | + | 1.67528i | ||||
\(525\) | 26.4751 | − | 3.06633i | 1.15547 | − | 0.133826i | ||||
\(526\) | −3.87963 | − | 22.0025i | −0.169160 | − | 0.959354i | ||||
\(527\) | 7.17489 | + | 5.02391i | 0.312543 | + | 0.218845i | ||||
\(528\) | 11.2089 | + | 7.39328i | 0.487806 | + | 0.321751i | ||||
\(529\) | 14.7813 | − | 17.6156i | 0.642664 | − | 0.765897i | ||||
\(530\) | −29.2659 | − | 56.2014i | −1.27123 | − | 2.44123i | ||||
\(531\) | 9.36533 | + | 9.97890i | 0.406421 | + | 0.433047i | ||||
\(532\) | 83.9219 | − | 22.4868i | 3.63848 | − | 0.974927i | ||||
\(533\) | 0.702518 | + | 0.327589i | 0.0304294 | + | 0.0141895i | ||||
\(534\) | −22.2613 | − | 17.6493i | −0.963339 | − | 0.763762i | ||||
\(535\) | 4.32474 | − | 32.8827i | 0.186975 | − | 1.42164i | ||||
\(536\) | 15.3607 | − | 42.2032i | 0.663482 | − | 1.82290i | ||||
\(537\) | −5.79449 | + | 24.3070i | −0.250051 | + | 1.04892i | ||||
\(538\) | −3.38206 | − | 4.83008i | −0.145811 | − | 0.208240i | ||||
\(539\) | −1.64076 | −0.0706724 | ||||||||
\(540\) | 54.4838 | + | 22.8108i | 2.34461 | + | 0.981619i | ||||
\(541\) | −0.781277 | −0.0335897 | −0.0167949 | − | 0.999859i | \(-0.505346\pi\) | ||||
−0.0167949 | + | 0.999859i | \(0.505346\pi\) | |||||||
\(542\) | 8.97207 | + | 12.8134i | 0.385383 | + | 0.550384i | ||||
\(543\) | −23.4506 | + | 6.98719i | −1.00636 | + | 0.299849i | ||||
\(544\) | −23.3637 | + | 64.1912i | −1.00171 | + | 2.75218i | ||||
\(545\) | −12.7285 | − | 16.5836i | −0.545229 | − | 0.710365i | ||||
\(546\) | 6.18944 | − | 2.44953i | 0.264884 | − | 0.104830i | ||||
\(547\) | −10.0522 | − | 4.68743i | −0.429802 | − | 0.200420i | 0.195665 | − | 0.980671i | \(-0.437314\pi\) |
−0.625467 | + | 0.780251i | \(0.715091\pi\) | |||||||
\(548\) | −33.0149 | + | 8.84632i | −1.41033 | + | 0.377896i | ||||
\(549\) | −7.34652 | − | 17.1545i | −0.313542 | − | 0.732137i | ||||
\(550\) | 3.01987 | − | 8.30373i | 0.128768 | − | 0.354072i | ||||
\(551\) | 8.93677 | − | 10.6504i | 0.380719 | − | 0.453724i | ||||
\(552\) | −0.0561466 | + | 0.942732i | −0.00238976 | + | 0.0401253i | ||||
\(553\) | 13.6747 | + | 9.57510i | 0.581505 | + | 0.407175i | ||||
\(554\) | −5.22900 | − | 29.6551i | −0.222159 | − | 1.25993i | ||||
\(555\) | −3.50361 | + | 9.17461i | −0.148720 | + | 0.389441i | ||||
\(556\) | 5.91335 | + | 4.96189i | 0.250782 | + | 0.210431i | ||||
\(557\) | 13.0192 | + | 3.48849i | 0.551642 | + | 0.147812i | 0.523864 | − | 0.851802i | \(-0.324490\pi\) |
0.0277782 | + | 0.999614i | \(0.491157\pi\) | |||||||
\(558\) | 14.2605 | − | 4.68399i | 0.603694 | − | 0.198289i | ||||
\(559\) | 3.41375 | + | 1.97093i | 0.144386 | + | 0.0833615i | ||||
\(560\) | 71.2743 | + | 37.0913i | 3.01189 | + | 1.56739i | ||||
\(561\) | −5.30071 | − | 0.783531i | −0.223796 | − | 0.0330807i | ||||
\(562\) | −57.6316 | − | 5.04211i | −2.43104 | − | 0.212689i | ||||
\(563\) | 15.8881 | + | 34.0720i | 0.669601 | + | 1.43596i | 0.887878 | + | 0.460078i | \(0.152179\pi\) |
−0.218277 | + | 0.975887i | \(0.570044\pi\) | |||||||
\(564\) | 1.00210 | + | 36.0644i | 0.0421962 | + | 1.51858i | ||||
\(565\) | −39.1822 | + | 24.9690i | −1.64841 | + | 1.05045i | ||||
\(566\) | − | 34.9323i | − | 1.46831i | ||||||
\(567\) | −26.2458 | − | 8.84975i | −1.10222 | − | 0.371654i | ||||
\(568\) | −35.7193 | + | 35.7193i | −1.49875 | + | 1.49875i | ||||
\(569\) | −2.09817 | + | 11.8993i | −0.0879598 | + | 0.498845i | 0.908719 | + | 0.417409i | \(0.137062\pi\) |
−0.996679 | + | 0.0814360i | \(0.974049\pi\) | |||||||
\(570\) | 0.900067 | − | 57.2371i | 0.0376996 | − | 2.39740i | ||||
\(571\) | 0.672547 | + | 0.244787i | 0.0281452 | + | 0.0102440i | 0.356054 | − | 0.934465i | \(-0.384122\pi\) |
−0.327909 | + | 0.944709i | \(0.606344\pi\) | |||||||
\(572\) | 0.138031 | − | 1.57770i | 0.00577137 | − | 0.0659670i | ||||
\(573\) | −2.67050 | − | 3.59693i | −0.111562 | − | 0.150264i | ||||
\(574\) | −4.62809 | − | 12.7156i | −0.193173 | − | 0.530738i | ||||
\(575\) | 0.327123 | − | 0.0577683i | 0.0136420 | − | 0.00240910i | ||||
\(576\) | 25.7284 | + | 39.3422i | 1.07202 | + | 1.63926i | ||||
\(577\) | 9.67417 | − | 36.1045i | 0.402741 | − | 1.50305i | −0.405443 | − | 0.914120i | \(-0.632883\pi\) |
0.808184 | − | 0.588930i | \(-0.200451\pi\) | |||||||
\(578\) | −1.09228 | − | 12.4848i | −0.0454328 | − | 0.519300i | ||||
\(579\) | −23.4271 | − | 7.79694i | −0.973596 | − | 0.324030i | ||||
\(580\) | 28.2145 | − | 3.71824i | 1.17154 | − | 0.154392i | ||||
\(581\) | 17.1896 | − | 3.03100i | 0.713146 | − | 0.125747i | ||||
\(582\) | −62.7398 | − | 3.73662i | −2.60065 | − | 0.154888i | ||||
\(583\) | 7.04253 | − | 0.616142i | 0.291672 | − | 0.0255180i | ||||
\(584\) | −57.8388 | − | 100.180i | −2.39339 | − | 4.14547i | ||||
\(585\) | −0.312102 | − | 3.13199i | −0.0129038 | − | 0.129492i | ||||
\(586\) | 5.67358 | − | 9.82693i | 0.234373 | − | 0.405947i | ||||
\(587\) | 3.89170 | − | 8.34577i | 0.160628 | − | 0.344467i | −0.809478 | − | 0.587150i | \(-0.800250\pi\) |
0.970106 | + | 0.242683i | \(0.0780276\pi\) | |||||||
\(588\) | −19.9677 | − | 8.64423i | −0.823452 | − | 0.356482i | ||||
\(589\) | −6.71056 | − | 7.99734i | −0.276504 | − | 0.329525i | ||||
\(590\) | 25.0806 | − | 10.3925i | 1.03255 | − | 0.427854i | ||||
\(591\) | 6.87740 | − | 12.7151i | 0.282899 | − | 0.523028i | ||||
\(592\) | −24.2525 | + | 16.9818i | −0.996771 | + | 0.697946i | ||||
\(593\) | −9.96484 | − | 9.96484i | −0.409207 | − | 0.409207i | 0.472255 | − | 0.881462i | \(-0.343440\pi\) |
−0.881462 | + | 0.472255i | \(0.843440\pi\) | |||||||
\(594\) | −6.51843 | + | 6.46741i | −0.267454 | + | 0.265361i | ||||
\(595\) | −32.0326 | − | 1.39441i | −1.31321 | − | 0.0571651i | ||||
\(596\) | 106.595 | + | 18.7957i | 4.36632 | + | 0.769900i | ||||
\(597\) | −6.36780 | − | 1.51800i | −0.260617 | − | 0.0621278i | ||||
\(598\) | 0.0751920 | − | 0.0350626i | 0.00307483 | − | 0.00143382i | ||||
\(599\) | 5.73610 | − | 4.81316i | 0.234371 | − | 0.196660i | −0.518037 | − | 0.855358i | \(-0.673337\pi\) |
0.752407 | + | 0.658698i | \(0.228893\pi\) | |||||||
\(600\) | 48.8289 | − | 51.6469i | 1.99343 | − | 2.10848i | ||||
\(601\) | −20.4882 | + | 7.45708i | −0.835730 | + | 0.304181i | −0.724208 | − | 0.689581i | \(-0.757795\pi\) |
−0.111522 | + | 0.993762i | \(0.535572\pi\) | |||||||
\(602\) | −17.8101 | − | 66.4682i | −0.725886 | − | 2.70904i | ||||
\(603\) | 13.9502 | + | 8.65512i | 0.568095 | + | 0.352464i | ||||
\(604\) | −34.9543 | + | 20.1809i | −1.42227 | + | 0.821148i | ||||
\(605\) | −17.4099 | − | 15.9491i | −0.707813 | − | 0.648422i | ||||
\(606\) | −8.31607 | + | 1.70578i | −0.337817 | + | 0.0692926i | ||||
\(607\) | 13.1267 | − | 18.7469i | 0.532796 | − | 0.760912i | −0.459042 | − | 0.888415i | \(-0.651807\pi\) |
0.991838 | + | 0.127503i | \(0.0406961\pi\) | |||||||
\(608\) | 46.7005 | − | 66.6953i | 1.89396 | − | 2.70485i | ||||
\(609\) | −13.0727 | + | 2.68146i | −0.529734 | + | 0.108658i | ||||
\(610\) | −36.9845 | + | 1.61959i | −1.49746 | + | 0.0655754i | ||||
\(611\) | 1.66496 | − | 0.961264i | 0.0673570 | − | 0.0388886i | ||||
\(612\) | −60.3805 | − | 37.4619i | −2.44074 | − | 1.51431i | ||||
\(613\) | 3.87633 | + | 14.4667i | 0.156564 | + | 0.584303i | 0.998966 | + | 0.0454549i | \(0.0144737\pi\) |
−0.842403 | + | 0.538848i | \(0.818860\pi\) | |||||||
\(614\) | 46.5944 | − | 16.9590i | 1.88040 | − | 0.684409i | ||||
\(615\) | −6.38198 | + | 0.457364i | −0.257346 | + | 0.0184427i | ||||
\(616\) | −12.8467 | + | 10.7796i | −0.517607 | + | 0.434324i | ||||
\(617\) | −0.430054 | + | 0.200538i | −0.0173133 | + | 0.00807334i | −0.431256 | − | 0.902230i | \(-0.641929\pi\) |
0.413942 | + | 0.910303i | \(0.364152\pi\) | |||||||
\(618\) | 73.2383 | + | 17.4591i | 2.94608 | + | 0.702309i | ||||
\(619\) | 10.1152 | + | 1.78359i | 0.406565 | + | 0.0716885i | 0.373191 | − | 0.927754i | \(-0.378264\pi\) |
0.0333743 | + | 0.999443i | \(0.489375\pi\) | |||||||
\(620\) | 0.929342 | − | 21.3491i | 0.0373233 | − | 0.857399i | ||||
\(621\) | −0.333100 | − | 0.0906578i | −0.0133668 | − | 0.00363797i | ||||
\(622\) | 15.4321 | + | 15.4321i | 0.618770 | + | 0.618770i | ||||
\(623\) | 15.5357 | − | 10.8782i | 0.622425 | − | 0.435827i | ||||
\(624\) | 4.51429 | − | 8.34610i | 0.180716 | − | 0.334111i | ||||
\(625\) | −21.6571 | − | 12.4887i | −0.866285 | − | 0.499550i | ||||
\(626\) | 32.6187 | + | 38.8735i | 1.30371 | + | 1.55370i | ||||
\(627\) | 5.86095 | + | 2.53727i | 0.234064 | + | 0.101329i | ||||
\(628\) | 29.3733 | − | 62.9913i | 1.17212 | − | 2.51363i | ||||
\(629\) | 5.90732 | − | 10.2318i | 0.235540 | − | 0.407968i | ||||
\(630\) | −34.8085 | + | 42.5136i | −1.38680 | + | 1.69378i | ||||
\(631\) | −6.48152 | − | 11.2263i | −0.258025 | − | 0.446913i | 0.707688 | − | 0.706526i | \(-0.249738\pi\) |
−0.965713 | + | 0.259613i | \(0.916405\pi\) | |||||||
\(632\) | 44.3488 | − | 3.88002i | 1.76410 | − | 0.154339i | ||||
\(633\) | −30.7842 | − | 1.83343i | −1.22356 | − | 0.0728722i | ||||
\(634\) | 44.5080 | − | 7.84797i | 1.76764 | − | 0.311683i | ||||
\(635\) | −10.3621 | + | 13.5078i | −0.411208 | + | 0.536040i | ||||
\(636\) | 88.9521 | + | 29.6048i | 3.52718 | + | 1.17391i | ||||
\(637\) | 0.101053 | + | 1.15504i | 0.00400388 | + | 0.0457645i | ||||
\(638\) | −1.14506 | + | 4.27341i | −0.0453333 | + | 0.169186i | ||||
\(639\) | −10.1063 | − | 15.4539i | −0.399800 | − | 0.611347i | ||||
\(640\) | 27.0288 | − | 5.99583i | 1.06841 | − | 0.237006i | ||||
\(641\) | 16.0051 | + | 43.9737i | 0.632164 | + | 1.73686i | 0.675045 | + | 0.737777i | \(0.264124\pi\) |
−0.0428806 | + | 0.999080i | \(0.513653\pi\) | |||||||
\(642\) | 40.7586 | + | 54.8982i | 1.60861 | + | 2.16666i | ||||
\(643\) | −1.93250 | + | 22.0886i | −0.0762103 | + | 0.871088i | 0.857833 | + | 0.513928i | \(0.171810\pi\) |
−0.934043 | + | 0.357160i | \(0.883745\pi\) | |||||||
\(644\) | −0.976716 | − | 0.355496i | −0.0384880 | − | 0.0140085i | ||||
\(645\) | −32.5338 | − | 0.511601i | −1.28102 | − | 0.0201443i | ||||
\(646\) | −11.9584 | + | 67.8196i | −0.470498 | + | 2.66833i | ||||
\(647\) | 23.9696 | − | 23.9696i | 0.942341 | − | 0.942341i | −0.0560849 | − | 0.998426i | \(-0.517862\pi\) |
0.998426 | + | 0.0560849i | \(0.0178617\pi\) | |||||||
\(648\) | −68.7866 | + | 26.9109i | −2.70219 | + | 1.05716i | ||||
\(649\) | 3.02889i | 0.118894i | ||||||||
\(650\) | −6.03157 | − | 1.61448i | −0.236578 | − | 0.0633249i | ||||
\(651\) | 0.278331 | + | 10.0167i | 0.0109086 | + | 0.392587i | ||||
\(652\) | 42.0693 | + | 90.2178i | 1.64756 | + | 3.53320i | ||||
\(653\) | 9.67068 | + | 0.846075i | 0.378443 | + | 0.0331095i | 0.274791 | − | 0.961504i | \(-0.411391\pi\) |
0.103652 | + | 0.994614i | \(0.466947\pi\) | |||||||
\(654\) | 42.6349 | + | 6.30213i | 1.66716 | + | 0.246433i | ||||
\(655\) | 7.89438 | + | 25.0264i | 0.308459 | + | 0.977864i | ||||
\(656\) | −16.7048 | − | 9.64453i | −0.652214 | − | 0.376556i | ||||
\(657\) | 40.1732 | − | 13.1953i | 1.56731 | − | 0.514797i | ||||
\(658\) | −32.4179 | − | 8.68636i | −1.26378 | − | 0.338629i | ||||
\(659\) | 15.9731 | + | 13.4030i | 0.622224 | + | 0.522108i | 0.898502 | − | 0.438970i | \(-0.144657\pi\) |
−0.276278 | + | 0.961078i | \(0.589101\pi\) | |||||||
\(660\) | 5.33781 | + | 11.9333i | 0.207774 | + | 0.464505i | ||||
\(661\) | −6.68365 | − | 37.9049i | −0.259964 | − | 1.47433i | −0.783002 | − | 0.622020i | \(-0.786312\pi\) |
0.523038 | − | 0.852310i | \(-0.324799\pi\) | |||||||
\(662\) | −31.0096 | − | 21.7132i | −1.20522 | − | 0.843906i | ||||
\(663\) | −0.225115 | + | 3.77980i | −0.00874274 | + | 0.146795i | ||||
\(664\) | 29.9205 | − | 35.6578i | 1.16114 | − | 1.38379i | ||||
\(665\) | 36.4487 | + | 11.4870i | 1.41342 | + | 0.445447i | ||||
\(666\) | −7.97054 | − | 18.6117i | −0.308852 | − | 0.721187i | ||||
\(667\) | −0.160660 | + | 0.0430488i | −0.00622079 | + | 0.00166685i | ||||
\(668\) | −101.236 | − | 47.2070i | −3.91693 | − | 1.82649i | ||||
\(669\) | −30.8337 | + | 12.2027i | −1.19210 | + | 0.471784i | ||||
\(670\) | 25.8350 | − | 19.8292i | 0.998094 | − | 0.766070i | ||||
\(671\) | 1.41262 | − | 3.88114i | 0.0545335 | − | 0.149830i | ||||
\(672\) | −74.8969 | + | 22.3158i | −2.88921 | + | 0.860853i | ||||
\(673\) | −11.8077 | − | 16.8631i | −0.455153 | − | 0.650026i | 0.524339 | − | 0.851510i | \(-0.324313\pi\) |
−0.979492 | + | 0.201484i | \(0.935424\pi\) | |||||||
\(674\) | 18.1379 | 0.698646 | ||||||||
\(675\) | 14.8238 | + | 21.3367i | 0.570568 | + | 0.821251i | ||||
\(676\) | 64.9678 | 2.49876 | ||||||||
\(677\) | 13.0007 | + | 18.5670i | 0.499659 | + | 0.713588i | 0.987195 | − | 0.159515i | \(-0.0509931\pi\) |
−0.487536 | + | 0.873103i | \(0.662104\pi\) | |||||||
\(678\) | 22.2116 | − | 93.1743i | 0.853032 | − | 3.57834i | ||||
\(679\) | 14.3508 | − | 39.4285i | 0.550734 | − | 1.51313i | ||||
\(680\) | −67.8286 | + | 52.0607i | −2.60111 | + | 1.99644i | ||||
\(681\) | 0.655262 | + | 0.519510i | 0.0251097 | + | 0.0199077i | ||||
\(682\) | 3.01082 | + | 1.40397i | 0.115290 | + | 0.0537608i | ||||
\(683\) | 7.91835 | − | 2.12172i | 0.302987 | − | 0.0811852i | −0.104122 | − | 0.994564i | \(-0.533203\pi\) |
0.407110 | + | 0.913379i | \(0.366537\pi\) | |||||||
\(684\) | 57.9589 | + | 61.7561i | 2.21611 | + | 2.36130i | ||||
\(685\) | −14.3389 | − | 4.51900i | −0.547862 | − | 0.172662i | ||||
\(686\) | −23.8444 | + | 28.4166i | −0.910382 | + | 1.08495i | ||||
\(687\) | −21.7258 | − | 14.3301i | −0.828891 | − | 0.546726i | ||||
\(688\) | −80.3518 | − | 56.2630i | −3.06338 | − | 2.14500i | ||||
\(689\) | −0.867490 | − | 4.91978i | −0.0330487 | − | 0.187429i | ||||
\(690\) | −0.401574 | + | 0.554734i | −0.0152877 | + | 0.0211184i | ||||
\(691\) | 2.09562 | + | 1.75844i | 0.0797212 | + | 0.0668941i | 0.681777 | − | 0.731560i | \(-0.261207\pi\) |
−0.602056 | + | 0.798454i | \(0.705652\pi\) | |||||||
\(692\) | 18.4268 | + | 4.93744i | 0.700481 | + | 0.187693i | ||||
\(693\) | −2.89523 | − | 5.40337i | −0.109981 | − | 0.205257i | ||||
\(694\) | 31.6991 | + | 18.3015i | 1.20328 | + | 0.694715i | ||||
\(695\) | 1.02144 | + | 3.23813i | 0.0387455 | + | 0.122829i | ||||
\(696\) | −22.1094 | + | 27.8867i | −0.838054 | + | 1.05704i | ||||
\(697\) | 7.66804 | + | 0.670867i | 0.290448 | + | 0.0254109i | ||||
\(698\) | 30.0939 | + | 64.5366i | 1.13907 | + | 2.44275i | ||||
\(699\) | −0.816535 | + | 0.502171i | −0.0308842 | + | 0.0189939i | ||||
\(700\) | 39.1299 | + | 67.7343i | 1.47897 | + | 2.56011i | ||||
\(701\) | 45.2015i | 1.70724i | 0.520899 | + | 0.853618i | \(0.325597\pi\) | ||||
−0.520899 | + | 0.853618i | \(0.674403\pi\) | |||||||
\(702\) | 4.95433 | + | 4.19045i | 0.186989 | + | 0.158158i | ||||
\(703\) | −9.95741 | + | 9.95741i | −0.375551 | + | 0.375551i | ||||
\(704\) | −1.80664 | + | 10.2459i | −0.0680901 | + | 0.386158i | ||||
\(705\) | −8.14978 | + | 13.6168i | −0.306938 | + | 0.512838i | ||||
\(706\) | 0.118329 | + | 0.0430682i | 0.00445337 | + | 0.00162089i | ||||
\(707\) | 0.493942 | − | 5.64579i | 0.0185766 | − | 0.212332i | ||||
\(708\) | −15.9575 | + | 36.8609i | −0.599720 | + | 1.38532i | ||||
\(709\) | 6.90171 | + | 18.9623i | 0.259199 | + | 0.712144i | 0.999217 | + | 0.0395569i | \(0.0125946\pi\) |
−0.740018 | + | 0.672587i | \(0.765183\pi\) | |||||||
\(710\) | −35.7612 | + | 7.93295i | −1.34210 | + | 0.297718i | ||||
\(711\) | −1.93152 | + | 16.1581i | −0.0724378 | + | 0.605978i | ||||
\(712\) | 13.0903 | − | 48.8536i | 0.490579 | − | 1.83086i | ||||
\(713\) | 0.0108853 | + | 0.124419i | 0.000407656 | + | 0.00465953i | ||||
\(714\) | 49.4365 | − | 43.8788i | 1.85011 | − | 1.64212i | ||||
\(715\) | 0.424001 | − | 0.552718i | 0.0158567 | − | 0.0206705i | ||||
\(716\) | −72.2265 | + | 12.7355i | −2.69923 | + | 0.475947i | ||||
\(717\) | 4.39231 | + | 8.77444i | 0.164034 | + | 0.327688i | ||||
\(718\) | −49.9836 | + | 4.37300i | −1.86537 | + | 0.163199i | ||||
\(719\) | −18.2157 | − | 31.5505i | −0.679331 | − | 1.17664i | −0.975183 | − | 0.221402i | \(-0.928937\pi\) |
0.295852 | − | 0.955234i | \(-0.404396\pi\) | |||||||
\(720\) | 0.944210 | + | 78.3184i | 0.0351886 | + | 2.91875i | ||||
\(721\) | −25.1318 | + | 43.5295i | −0.935957 | + | 1.62113i | ||||
\(722\) | 13.3179 | − | 28.5603i | 0.495640 | − | 1.06290i | ||||
\(723\) | 2.54646 | − | 1.89059i | 0.0947037 | − | 0.0703118i | ||||
\(724\) | −46.1638 | − | 55.0159i | −1.71566 | − | 2.04465i | ||||
\(725\) | 11.3463 | + | 5.28726i | 0.421390 | + | 0.196364i | ||||
\(726\) | 48.6574 | − | 1.35202i | 1.80585 | − | 0.0501782i | ||||
\(727\) | 10.9561 | − | 7.67153i | 0.406338 | − | 0.284521i | −0.352485 | − | 0.935817i | \(-0.614663\pi\) |
0.758824 | + | 0.651296i | \(0.225774\pi\) | |||||||
\(728\) | 8.37976 | + | 8.37976i | 0.310575 | + | 0.310575i | ||||
\(729\) | −4.47945 | − | 26.6258i | −0.165906 | − | 0.986142i | ||||
\(730\) | 3.64805 | − | 83.8038i | 0.135020 | − | 3.10172i | ||||
\(731\) | 38.5489 | + | 6.79721i | 1.42578 | + | 0.251404i | ||||
\(732\) | 37.6388 | − | 39.7903i | 1.39117 | − | 1.47069i | ||||
\(733\) | −38.0568 | + | 17.7462i | −1.40566 | + | 0.655470i | −0.969656 | − | 0.244474i | \(-0.921385\pi\) |
−0.436005 | + | 0.899944i | \(0.643607\pi\) | |||||||
\(734\) | −40.4216 | + | 33.9178i | −1.49199 | + | 1.25193i | ||||
\(735\) | −5.36554 | − | 7.92515i | −0.197911 | − | 0.292323i | ||||
\(736\) | −0.915308 | + | 0.333145i | −0.0337387 | + | 0.0122799i | ||||
\(737\) | 0.940413 | + | 3.50967i | 0.0346406 | + | 0.129280i | ||||
\(738\) | 8.79496 | − | 9.83085i | 0.323747 | − | 0.361879i | ||||
\(739\) | −34.0711 | + | 19.6709i | −1.25332 | + | 0.723607i | −0.971768 | − | 0.235938i | \(-0.924184\pi\) |
−0.281556 | + | 0.959545i | \(0.590850\pi\) | |||||||
\(740\) | −28.7968 | + | 1.26104i | −1.05859 | + | 0.0463569i | ||||
\(741\) | 1.42519 | − | 4.28220i | 0.0523557 | − | 0.157310i | ||||
\(742\) | −50.0213 | + | 71.4378i | −1.83634 | + | 2.62256i | ||||
\(743\) | 7.43173 | − | 10.6136i | 0.272644 | − | 0.389376i | −0.659358 | − | 0.751829i | \(-0.729172\pi\) |
0.932002 | + | 0.362453i | \(0.118061\pi\) | |||||||
\(744\) | 17.7390 | + | 19.9858i | 0.650342 | + | 0.732714i | ||||
\(745\) | 35.1061 | + | 32.1604i | 1.28619 | + | 1.17827i | ||||
\(746\) | −48.8829 | + | 28.2225i | −1.78973 | + | 1.03330i | ||||
\(747\) | 10.5184 | + | 13.3745i | 0.384848 | + | 0.489349i | ||||
\(748\) | −4.07039 | − | 15.1909i | −0.148828 | − | 0.555434i | ||||
\(749\) | −42.8937 | + | 15.6120i | −1.56730 | + | 0.570451i | ||||
\(750\) | 49.9840 | − | 12.5681i | 1.82516 | − | 0.458921i | ||||
\(751\) | 30.6700 | − | 25.7352i | 1.11916 | − | 0.939089i | 0.120601 | − | 0.992701i | \(-0.461518\pi\) |
0.998562 | + | 0.0536119i | \(0.0170734\pi\) | |||||||
\(752\) | −43.3589 | + | 20.2186i | −1.58114 | + | 0.737296i | ||||
\(753\) | −9.62128 | − | 32.2912i | −0.350619 | − | 1.17676i | ||||
\(754\) | 3.07888 | + | 0.542889i | 0.112126 | + | 0.0197709i | ||||
\(755\) | −17.7367 | − | 0.772091i | −0.645503 | − | 0.0280993i | ||||
\(756\) | −6.76700 | − | 81.0112i | −0.246113 | − | 2.94635i | ||||
\(757\) | 0.846964 | + | 0.846964i | 0.0307834 | + | 0.0307834i | 0.722331 | − | 0.691548i | \(-0.243071\pi\) |
−0.691548 | + | 0.722331i | \(0.743071\pi\) | |||||||
\(758\) | 10.7967 | − | 7.55993i | 0.392154 | − | 0.274589i | ||||
\(759\) | −0.0400255 | − | 0.0650817i | −0.00145283 | − | 0.00236232i | ||||
\(760\) | 94.1504 | − | 39.0127i | 3.41519 | − | 1.41514i | ||||
\(761\) | −3.25980 | − | 3.88488i | −0.118168 | − | 0.140827i | 0.703718 | − | 0.710480i | \(-0.251522\pi\) |
−0.821885 | + | 0.569653i | \(0.807078\pi\) | |||||||
\(762\) | −4.02893 | − | 34.8656i | −0.145953 | − | 1.26305i | ||||
\(763\) | −12.1596 | + | 26.0764i | −0.440208 | + | 0.944029i | ||||
\(764\) | 6.57430 | − | 11.3870i | 0.237850 | − | 0.411968i | ||||
\(765\) | −13.5496 | − | 28.1657i | −0.489887 | − | 1.01833i | ||||
\(766\) | 37.6375 | + | 65.1901i | 1.35990 | + | 2.35542i | ||||
\(767\) | 2.13224 | − | 0.186547i | 0.0769909 | − | 0.00673583i | ||||
\(768\) | −1.53991 | + | 2.33465i | −0.0555666 | + | 0.0842444i | ||||
\(769\) | −26.0795 | + | 4.59852i | −0.940451 | + | 0.165827i | −0.622800 | − | 0.782381i | \(-0.714005\pi\) |
−0.317651 | + | 0.948208i | \(0.602894\pi\) | |||||||
\(770\) | −12.0566 | + | 1.58887i | −0.434488 | + | 0.0572589i | ||||
\(771\) | −10.4138 | − | 50.7698i | −0.375045 | − | 1.82843i | ||||
\(772\) | −6.31593 | − | 72.1914i | −0.227315 | − | 2.59822i | ||||
\(773\) | −2.81189 | + | 10.4941i | −0.101137 | + | 0.377447i | −0.997878 | − | 0.0651074i | \(-0.979261\pi\) |
0.896742 | + | 0.442555i | \(0.145928\pi\) | |||||||
\(774\) | 48.9124 | − | 45.9049i | 1.75812 | − | 1.65002i | ||||
\(775\) | 5.38931 | − | 7.70099i | 0.193590 | − | 0.276628i | ||||
\(776\) | −38.2703 | − | 105.147i | −1.37383 | − | 3.77455i | ||||
\(777\) | 13.4271 | − | 1.55159i | 0.481696 | − | 0.0556629i | ||||
\(778\) | −6.82635 | + | 78.0256i | −0.244737 | + | 2.79735i | ||||
\(779\) | −8.62118 | − | 3.13785i | −0.308886 | − | 0.112425i | ||||
\(780\) | 8.07196 | − | 4.49263i | 0.289023 | − | 0.160862i | ||||
\(781\) | 0.709661 | − | 4.02469i | 0.0253937 | − | 0.144015i | ||||
\(782\) | 0.582559 | − | 0.582559i | 0.0208323 | − | 0.0208323i | ||||
\(783\) | −8.32267 | − | 9.99807i | −0.297428 | − | 0.357302i | ||||
\(784\) | − | 28.8525i | − | 1.03045i | ||||||
\(785\) | 25.7817 | − | 16.4294i | 0.920187 | − | 0.586392i | ||||
\(786\) | −47.5856 | − | 25.7384i | −1.69732 | − | 0.918058i | ||||
\(787\) | 3.36829 | + | 7.22332i | 0.120067 | + | 0.257484i | 0.957151 | − | 0.289591i | \(-0.0935192\pi\) |
−0.837084 | + | 0.547074i | \(0.815741\pi\) | |||||||
\(788\) | 42.2668 | + | 3.69786i | 1.50569 | + | 0.131731i | ||||
\(789\) | 5.35043 | + | 13.5194i | 0.190480 | + | 0.481303i | ||||
\(790\) | 28.6366 | + | 14.9025i | 1.01884 | + | 0.530209i | ||||
\(791\) | 55.3786 | + | 31.9729i | 1.96904 | + | 1.13682i | ||||
\(792\) | −15.1769 | − | 6.07544i | −0.539286 | − | 0.215882i | ||||
\(793\) | −2.81921 | − | 0.755404i | −0.100113 | − | 0.0268252i | ||||
\(794\) | −39.9638 | − | 33.5336i | −1.41826 | − | 1.19006i | ||||
\(795\) | 26.0063 | + | 32.0018i | 0.922348 | + | 1.13499i | ||||
\(796\) | −3.33636 | − | 18.9215i | −0.118254 | − | 0.670653i | ||||
\(797\) | −0.621792 | − | 0.435383i | −0.0220250 | − | 0.0154221i | 0.562512 | − | 0.826789i | \(-0.309835\pi\) |
−0.584537 | + | 0.811367i | \(0.698724\pi\) | |||||||
\(798\) | −70.4517 | + | 35.2667i | −2.49396 | + | 1.24843i | ||||
\(799\) | 12.2715 | − | 14.6246i | 0.434136 | − | 0.517383i | ||||
\(800\) | 68.8920 | + | 25.0544i | 2.43570 | + | 0.885806i | ||||
\(801\) | 16.4996 | + | 8.34059i | 0.582984 | + | 0.294700i | ||||
\(802\) | 0.0868625 | − | 0.0232747i | 0.00306722 | − | 0.000821859i | ||||
\(803\) | 8.48179 | + | 3.95512i | 0.299316 | + | 0.139573i | ||||
\(804\) | −7.04587 | + | 47.6664i | −0.248489 | + | 1.68106i | ||||
\(805\) | −0.278366 | − | 0.362676i | −0.00981111 | − | 0.0127827i | ||||
\(806\) | 0.802918 | − | 2.20600i | 0.0282816 | − | 0.0777030i | ||||
\(807\) | 2.78768 | + | 2.63695i | 0.0981311 | + | 0.0928251i | ||||
\(808\) | −8.66877 | − | 12.3803i | −0.304966 | − | 0.435537i | ||||
\(809\) | 3.88327 | 0.136528 | 0.0682642 | − | 0.997667i | \(-0.478254\pi\) | ||||
0.0682642 | + | 0.997667i | \(0.478254\pi\) | |||||||
\(810\) | −52.5551 | − | 10.3357i | −1.84660 | − | 0.363158i | ||||
\(811\) | −22.9810 | −0.806974 | −0.403487 | − | 0.914985i | \(-0.632202\pi\) | ||||
−0.403487 | + | 0.914985i | \(0.632202\pi\) | |||||||
\(812\) | −22.4656 | − | 32.0843i | −0.788390 | − | 1.12594i | ||||
\(813\) | −7.39528 | − | 6.99542i | −0.259364 | − | 0.245340i | ||||
\(814\) | 1.53261 | − | 4.21081i | 0.0537179 | − | 0.147589i | ||||
\(815\) | −5.70950 | + | 43.4116i | −0.199995 | + | 1.52064i | ||||
\(816\) | 13.7783 | − | 93.2125i | 0.482337 | − | 3.26309i | ||||
\(817\) | −42.2840 | − | 19.7174i | −1.47933 | − | 0.689824i | ||||
\(818\) | 22.6613 | − | 6.07207i | 0.792333 | − | 0.212305i | ||||
\(819\) | −3.62550 | + | 2.37095i | −0.126685 | + | 0.0828476i | ||||
\(820\) | −8.67348 | − | 16.6563i | −0.302891 | − | 0.581664i | ||||
\(821\) | −1.59034 | + | 1.89529i | −0.0555031 | + | 0.0661461i | −0.793082 | − | 0.609115i | \(-0.791525\pi\) |
0.737579 | + | 0.675261i | \(0.235969\pi\) | |||||||
\(822\) | 27.7157 | − | 13.8739i | 0.966697 | − | 0.483909i | ||||
\(823\) | 26.9245 | + | 18.8527i | 0.938528 | + | 0.657164i | 0.939396 | − | 0.342835i | \(-0.111387\pi\) |
−0.000867529 | 1.00000i | \(0.500276\pi\) | ||||||||
\(824\) | 23.2761 | + | 132.005i | 0.810860 | + | 4.59862i | ||||
\(825\) | −0.839353 | + | 5.68857i | −0.0292225 | + | 0.198051i | ||||
\(826\) | −28.6230 | − | 24.0176i | −0.995923 | − | 0.835678i | ||||
\(827\) | 8.32126 | + | 2.22968i | 0.289359 | + | 0.0775334i | 0.400579 | − | 0.916262i | \(-0.368809\pi\) |
−0.111220 | + | 0.993796i | \(0.535476\pi\) | |||||||
\(828\) | −0.144222 | − | 1.00290i | −0.00501205 | − | 0.0348532i | ||||
\(829\) | 7.38409 | + | 4.26321i | 0.256460 | + | 0.148067i | 0.622719 | − | 0.782446i | \(-0.286028\pi\) |
−0.366259 | + | 0.930513i | \(0.619361\pi\) | |||||||
\(830\) | 32.1905 | − | 10.1542i | 1.11735 | − | 0.352459i | ||||
\(831\) | 7.21135 | + | 18.2216i | 0.250159 | + | 0.632099i | ||||
\(832\) | 7.32410 | + | 0.640776i | 0.253918 | + | 0.0222149i | ||||
\(833\) | 4.86588 | + | 10.4349i | 0.168593 | + | 0.361548i | ||||
\(834\) | −6.15702 | − | 3.33025i | −0.213200 | − | 0.115317i | ||||
\(835\) | −26.4044 | − | 41.4347i | −0.913761 | − | 1.43391i | ||||
\(836\) | 18.7448i | 0.648301i | ||||||||
\(837\) | −8.47863 | + | 4.85083i | −0.293064 | + | 0.167669i | ||||
\(838\) | 62.3307 | − | 62.3307i | 2.15318 | − | 2.15318i | ||||
\(839\) | −8.06541 | + | 45.7412i | −0.278449 | + | 1.57916i | 0.449340 | + | 0.893361i | \(0.351659\pi\) |
−0.727789 | + | 0.685802i | \(0.759452\pi\) | |||||||
\(840\) | −94.0783 | − | 26.8005i | −3.24601 | − | 0.924706i | ||||
\(841\) | 21.3614 | + | 7.77490i | 0.736599 | + | 0.268100i | ||||
\(842\) | 3.85112 | − | 44.0185i | 0.132718 | − | 1.51698i | ||||
\(843\) | 37.3998 | − | 4.32178i | 1.28812 | − | 0.148850i | ||||
\(844\) | −30.9571 | − | 85.0539i | −1.06559 | − | 2.92768i | ||||
\(845\) | 24.1033 | + | 15.3511i | 0.829178 | + | 0.528093i | ||||
\(846\) | −7.46146 | − | 31.8539i | −0.256530 | − | 1.09516i | ||||
\(847\) | −8.41058 | + | 31.3887i | −0.288991 | + | 1.07853i | ||||
\(848\) | 10.8348 | + | 123.842i | 0.372068 | + | 4.25276i | ||||
\(849\) | 4.56789 | + | 22.2695i | 0.156770 | + | 0.764288i | ||||
\(850\) | −61.7660 | + | 5.42000i | −2.11856 | + | 0.185904i | ||||
\(851\) | 0.165907 | − | 0.0292538i | 0.00568721 | − | 0.00100281i | ||||
\(852\) | 29.8402 | − | 45.2407i | 1.02231 | − | 1.54992i | ||||
\(853\) | 20.6498 | − | 1.80662i | 0.707035 | − | 0.0618575i | 0.272034 | − | 0.962288i | \(-0.412304\pi\) |
0.435001 | + | 0.900430i | \(0.356748\pi\) | |||||||
\(854\) | 25.4755 | + | 44.1248i | 0.871752 | + | 1.50992i | ||||
\(855\) | 6.91077 | + | 36.6067i | 0.236343 | + | 1.25192i | ||||
\(856\) | −60.8644 | + | 105.420i | −2.08030 | + | 3.60319i | ||||
\(857\) | −1.85929 | + | 3.98725i | −0.0635120 | + | 0.136202i | −0.935502 | − | 0.353322i | \(-0.885052\pi\) |
0.871990 | + | 0.489524i | \(0.162830\pi\) | |||||||
\(858\) | 0.164858 | + | 1.42665i | 0.00562814 | + | 0.0487049i | ||||
\(859\) | 27.5782 | + | 32.8664i | 0.940956 | + | 1.12139i | 0.992442 | + | 0.122714i | \(0.0391598\pi\) |
−0.0514862 | + | 0.998674i | \(0.516396\pi\) | |||||||
\(860\) | −36.5574 | − | 88.2249i | −1.24660 | − | 3.00845i | ||||
\(861\) | 4.61318 | + | 7.50107i | 0.157217 | + | 0.255636i | ||||
\(862\) | 31.4786 | − | 22.0415i | 1.07217 | − | 0.750738i | ||||
\(863\) | −29.7115 | − | 29.7115i | −1.01139 | − | 1.01139i | −0.999934 | − | 0.0114553i | \(-0.996354\pi\) |
−0.0114553 | − | 0.999934i | \(-0.503646\pi\) | |||||||
\(864\) | −53.6570 | − | 54.0802i | −1.82545 | − | 1.83985i | ||||
\(865\) | 5.66974 | + | 6.18582i | 0.192777 | + | 0.210324i | ||||
\(866\) | −61.0955 | − | 10.7728i | −2.07611 | − | 0.366074i | ||||
\(867\) | 2.32890 | + | 7.81631i | 0.0790936 | + | 0.265456i | ||||
\(868\) | −26.6552 | + | 12.4295i | −0.904736 | + | 0.421885i | ||||
\(869\) | −2.75902 | + | 2.31509i | −0.0935932 | + | 0.0785340i | ||||
\(870\) | −24.3859 | + | 8.44393i | −0.826758 | + | 0.286276i | ||||
\(871\) | 2.41278 | − | 0.878181i | 0.0817540 | − | 0.0297560i | ||||
\(872\) | 19.8588 | + | 74.1142i | 0.672505 | + | 2.50982i | ||||
\(873\) | 40.4856 | − | 5.82201i | 1.37023 | − | 0.197045i | ||||
\(874\) | −0.850406 | + | 0.490982i | −0.0287654 | + | 0.0166077i | ||||
\(875\) | −1.48745 | + | 34.3755i | −0.0502848 | + | 1.16211i | ||||
\(876\) | 82.3842 | + | 92.8188i | 2.78350 | + | 3.13606i | ||||
\(877\) | 6.63310 | − | 9.47306i | 0.223984 | − | 0.319882i | −0.691394 | − | 0.722478i | \(-0.743003\pi\) |
0.915378 | + | 0.402596i | \(0.131892\pi\) | |||||||
\(878\) | 48.8243 | − | 69.7284i | 1.64774 | − | 2.35322i | ||||
\(879\) | −2.33193 | + | 7.00662i | −0.0786540 | + | 0.236328i | ||||
\(880\) | −11.7097 | + | 12.7822i | −0.394733 | + | 0.430888i | ||||
\(881\) | 12.7653 | − | 7.37007i | 0.430075 | − | 0.248304i | −0.269304 | − | 0.963055i | \(-0.586794\pi\) |
0.699379 | + | 0.714751i | \(0.253460\pi\) | |||||||
\(882\) | 19.3126 | + | 4.04050i | 0.650289 | + | 0.136051i | ||||
\(883\) | 4.11349 | + | 15.3517i | 0.138430 | + | 0.516627i | 0.999960 | + | 0.00892106i | \(0.00283970\pi\) |
−0.861530 | + | 0.507706i | \(0.830494\pi\) | |||||||
\(884\) | −10.4432 | + | 3.80103i | −0.351244 | + | 0.127842i | ||||
\(885\) | −14.6301 | + | 9.90495i | −0.491784 | + | 0.332951i | ||||
\(886\) | −36.6160 | + | 30.7245i | −1.23014 | + | 1.03221i | ||||
\(887\) | −6.76369 | + | 3.15396i | −0.227102 | + | 0.105900i | −0.532839 | − | 0.846216i | \(-0.678875\pi\) |
0.305737 | + | 0.952116i | \(0.401097\pi\) | |||||||
\(888\) | 24.7702 | − | 26.1861i | 0.831232 | − | 0.878747i | ||||
\(889\) | 23.0750 | + | 4.06875i | 0.773911 | + | 0.136461i | ||||
\(890\) | 27.0369 | − | 24.7812i | 0.906280 | − | 0.830669i | ||||
\(891\) | 3.30983 | − | 4.97539i | 0.110883 | − | 0.166682i | ||||
\(892\) | −68.8206 | − | 68.8206i | −2.30428 | − | 2.30428i | ||||
\(893\) | −18.6396 | + | 13.0516i | −0.623750 | + | 0.436755i | ||||
\(894\) | −98.1150 | + | 2.72628i | −3.28146 | + | 0.0911803i | ||||
\(895\) | −29.8055 | − | 12.3413i | −0.996288 | − | 0.412524i | ||||
\(896\) | −24.4930 | − | 29.1896i | −0.818253 | − | 0.975156i | ||||
\(897\) | −0.0433504 | + | 0.0321851i | −0.00144743 | + | 0.00107463i | ||||
\(898\) | 14.9255 | − | 32.0079i | 0.498072 | − | 1.06812i | ||||
\(899\) | −2.35319 | + | 4.07585i | −0.0784834 | + | 0.135937i | ||||
\(900\) | −40.1846 | + | 64.8065i | −1.33949 | + | 2.16022i | ||||
\(901\) | −24.8041 | − | 42.9619i | −0.826344 | − | 1.43127i | ||||
\(902\) | 2.90833 | − | 0.254446i | 0.0968367 | − | 0.00847211i | ||||
\(903\) | 20.0457 | + | 40.0450i | 0.667080 | + | 1.33261i | ||||
\(904\) | 167.938 | − | 29.6120i | 5.58553 | − | 0.984880i | ||||
\(905\) | −4.12737 | − | 31.3190i | −0.137198 | − | 1.04108i | ||||
\(906\) | 27.3733 | − | 24.2960i | 0.909415 | − | 0.807180i | ||||
\(907\) | 1.42792 | + | 16.3212i | 0.0474134 | + | 0.541937i | 0.982341 | + | 0.187099i | \(0.0599085\pi\) |
−0.934928 | + | 0.354838i | \(0.884536\pi\) | |||||||
\(908\) | −0.635223 | + | 2.37069i | −0.0210806 | + | 0.0786740i | ||||
\(909\) | 5.07849 | − | 2.17489i | 0.168443 | − | 0.0721365i | ||||
\(910\) | 1.86107 | + | 8.38960i | 0.0616940 | + | 0.278113i | ||||
\(911\) | −0.825532 | − | 2.26813i | −0.0273511 | − | 0.0751465i | 0.925266 | − | 0.379320i | \(-0.123842\pi\) |
−0.952617 | + | 0.304173i | \(0.901620\pi\) | |||||||
\(912\) | −44.6177 | + | 103.064i | −1.47744 | + | 3.41279i | ||||
\(913\) | −0.328216 | + | 3.75152i | −0.0108624 | + | 0.124157i | ||||
\(914\) | −20.1354 | − | 7.32869i | −0.666020 | − | 0.242412i | ||||
\(915\) | 23.3661 | − | 5.86875i | 0.772458 | − | 0.194015i | ||||
\(916\) | 13.2645 | − | 75.2269i | 0.438273 | − | 2.48557i | ||||
\(917\) | 25.5387 | − | 25.5387i | 0.843361 | − | 0.843361i | ||||
\(918\) | 60.4628 | + | 22.2760i | 1.99557 | + | 0.735218i | ||||
\(919\) | − | 5.68243i | − | 0.187446i | −0.995598 | − | 0.0937230i | \(-0.970123\pi\) | ||
0.995598 | − | 0.0937230i | \(-0.0298768\pi\) | |||||||
\(920\) | −1.19035 | − | 0.263732i | −0.0392447 | − | 0.00869500i | ||||
\(921\) | −27.4866 | + | 16.9043i | −0.905714 | + | 0.557017i | ||||
\(922\) | 16.1703 | + | 34.6774i | 0.532541 | + | 1.14204i | ||||
\(923\) | −2.87697 | − | 0.251702i | −0.0946965 | − | 0.00828487i | ||||
\(924\) | 11.1778 | − | 14.0987i | 0.367724 | − | 0.463813i | ||||
\(925\) | −10.9817 | − | 6.33647i | −0.361075 | − | 0.208342i | ||||
\(926\) | −47.9543 | − | 27.6864i | −1.57588 | − | 0.909832i | ||||
\(927\) | −48.9729 | − | 1.55334i | −1.60848 | − | 0.0510183i | ||||
\(928\) | −35.4544 | − | 9.49998i | −1.16385 | − | 0.311852i | ||||
\(929\) | 31.5686 | + | 26.4892i | 1.03573 | + | 0.869082i | 0.991522 | − | 0.129941i | \(-0.0414787\pi\) |
0.0442093 | + | 0.999022i | \(0.485923\pi\) | |||||||
\(930\) | 3.06446 | + | 19.1340i | 0.100488 | + | 0.627429i | ||||
\(931\) | −2.38300 | − | 13.5147i | −0.0780996 | − | 0.442925i | ||||
\(932\) | −2.30468 | − | 1.61376i | −0.0754924 | − | 0.0528604i | ||||
\(933\) | −11.8560 | − | 7.82008i | −0.388148 | − | 0.256018i | ||||
\(934\) | −42.1923 | + | 50.2828i | −1.38057 | + | 1.64530i | ||||
\(935\) | 2.07929 | − | 6.59765i | 0.0680001 | − | 0.215766i | ||||
\(936\) | −3.34220 | + | 11.0582i | −0.109243 | + | 0.361450i | ||||
\(937\) | 7.80116 | − | 2.09031i | 0.254853 | − | 0.0682876i | −0.129131 | − | 0.991628i | \(-0.541219\pi\) |
0.383983 | + | 0.923340i | \(0.374552\pi\) | |||||||
\(938\) | −40.6235 | − | 18.9430i | −1.32640 | − | 0.618512i | ||||
\(939\) | −25.8779 | − | 20.5167i | −0.844493 | − | 0.669538i | ||||
\(940\) | −46.1792 | − | 6.07350i | −1.50620 | − | 0.198096i | ||||
\(941\) | 17.0461 | − | 46.8337i | 0.555686 | − | 1.52673i | −0.270147 | − | 0.962819i | \(-0.587072\pi\) |
0.825833 | − | 0.563915i | \(-0.190706\pi\) | |||||||
\(942\) | −14.6151 | + | 61.3082i | −0.476186 | + | 1.99753i | ||||
\(943\) | 0.0629540 | + | 0.0899076i | 0.00205006 | + | 0.00292780i | ||||
\(944\) | −53.2626 | −1.73355 | ||||||||
\(945\) | 16.6314 | − | 31.6544i | 0.541018 | − | 1.02972i | ||||
\(946\) | 14.8463 | 0.482696 | ||||||||
\(947\) | −27.9030 | − | 39.8496i | −0.906726 | − | 1.29494i | −0.955153 | − | 0.296112i | \(-0.904310\pi\) |
0.0484276 | − | 0.998827i | \(-0.484579\pi\) | |||||||
\(948\) | −45.7735 | + | 13.6384i | −1.48666 | + | 0.442955i | ||||
\(949\) | 2.26190 | − | 6.21452i | 0.0734244 | − | 0.201732i | ||||
\(950\) | 72.7825 | + | 12.8140i | 2.36138 | + | 0.415742i | ||||
\(951\) | −27.3479 | + | 10.8232i | −0.886816 | + | 0.350966i | ||||
\(952\) | 106.655 | + | 49.7340i | 3.45671 | + | 1.61189i | ||||
\(953\) | −48.5541 | + | 13.0100i | −1.57282 | + | 0.421436i | −0.936694 | − | 0.350148i | \(-0.886131\pi\) |
−0.636127 | + | 0.771584i | \(0.719465\pi\) | |||||||
\(954\) | −84.4117 | − | 10.0905i | −2.73293 | − | 0.326691i | ||||
\(955\) | 5.12970 | − | 2.67120i | 0.165993 | − | 0.0864380i | ||||
\(956\) | −18.5120 | + | 22.0618i | −0.598722 | + | 0.713529i | ||||
\(957\) | 0.171171 | − | 2.87406i | 0.00553318 | − | 0.0929051i | ||||
\(958\) | 58.6039 | + | 41.0349i | 1.89341 | + | 1.32578i | ||||
\(959\) | 3.59307 | + | 20.3773i | 0.116026 | + | 0.658017i | ||||
\(960\) | −55.3977 | + | 24.7795i | −1.78795 | + | 0.799756i | ||||
\(961\) | −21.0402 | − | 17.6548i | −0.678716 | − | 0.569510i | ||||
\(962\) | −3.05867 | − | 0.819569i | −0.0986156 | − | 0.0264240i | ||||
\(963\) | −33.1626 | − | 29.6682i | −1.06865 | − | 0.956043i | ||||
\(964\) | 8.06148 | + | 4.65430i | 0.259643 | + | 0.149905i | ||||
\(965\) | 14.7147 | − | 28.2756i | 0.473683 | − | 0.910224i | ||||
\(966\) | 0.932406 | + | 0.137825i | 0.0299997 | + | 0.00443444i | ||||
\(967\) | −49.5607 | − | 4.33600i | −1.59377 | − | 0.139436i | −0.744581 | − | 0.667533i | \(-0.767350\pi\) |
−0.849185 | + | 0.528096i | \(0.822906\pi\) | |||||||
\(968\) | 36.6238 | + | 78.5400i | 1.17713 | + | 2.52437i | ||||
\(969\) | −1.24481 | − | 44.7991i | −0.0399891 | − | 1.43916i | ||||
\(970\) | 17.5517 | − | 79.2192i | 0.563550 | − | 2.54357i | ||||
\(971\) | 40.2818i | 1.29270i | 0.763039 | + | 0.646352i | \(0.223706\pi\) | ||||
−0.763039 | + | 0.646352i | \(0.776294\pi\) | |||||||
\(972\) | 66.4924 | − | 43.1118i | 2.13275 | − | 1.38281i | ||||
\(973\) | 3.30441 | − | 3.30441i | 0.105934 | − | 0.105934i | ||||
\(974\) | 0.911162 | − | 5.16745i | 0.0291955 | − | 0.165576i | ||||
\(975\) | 4.05628 | + | 0.240523i | 0.129905 | + | 0.00770291i | ||||
\(976\) | 68.2493 | + | 24.8407i | 2.18461 | + | 0.795132i | ||||
\(977\) | 3.30670 | − | 37.7958i | 0.105791 | − | 1.20919i | −0.738854 | − | 0.673866i | \(-0.764633\pi\) |
0.844644 | − | 0.535328i | \(-0.179812\pi\) | |||||||
\(978\) | −53.8093 | − | 72.4763i | −1.72063 | − | 2.31754i | ||||
\(979\) | 1.39948 | + | 3.84504i | 0.0447276 | + | 0.122888i | ||||
\(980\) | 15.0897 | − | 23.6929i | 0.482022 | − | 0.756840i | ||||
\(981\) | −28.0041 | + | 1.55748i | −0.894102 | + | 0.0497264i | ||||
\(982\) | −16.3345 | + | 60.9612i | −0.521255 | + | 1.94535i | ||||
\(983\) | 3.12235 | + | 35.6886i | 0.0995874 | + | 1.13829i | 0.867399 | + | 0.497614i | \(0.165790\pi\) |
−0.767811 | + | 0.640676i | \(0.778654\pi\) | |||||||
\(984\) | 22.2822 | + | 7.41591i | 0.710330 | + | 0.236411i | ||||
\(985\) | 14.8074 | + | 11.3590i | 0.471802 | + | 0.361929i | ||||
\(986\) | 30.5739 | − | 5.39101i | 0.973672 | − | 0.171685i | ||||
\(987\) | 21.8025 | + | 1.29850i | 0.693981 | + | 0.0413316i | ||||
\(988\) | 13.1958 | − | 1.15448i | 0.419813 | − | 0.0367289i | ||||
\(989\) | 0.279076 | + | 0.483373i | 0.00887409 | + | 0.0153704i | ||||
\(990\) | −6.91602 | − | 9.62795i | −0.219806 | − | 0.305996i | ||||
\(991\) | 21.8850 | − | 37.9060i | 0.695201 | − | 1.20412i | −0.274912 | − | 0.961469i | \(-0.588649\pi\) |
0.970113 | − | 0.242654i | \(-0.0780179\pi\) | |||||||
\(992\) | −11.6480 | + | 24.9793i | −0.369826 | + | 0.793094i | ||||
\(993\) | 22.6081 | + | 9.78732i | 0.717447 | + | 0.310591i | ||||
\(994\) | 32.4061 | + | 38.6201i | 1.02786 | + | 1.22495i | ||||
\(995\) | 3.23310 | − | 7.80827i | 0.102496 | − | 0.247539i | ||||
\(996\) | −23.7590 | + | 43.9260i | −0.752833 | + | 1.39185i | ||||
\(997\) | −19.9603 | + | 13.9764i | −0.632150 | + | 0.442636i | −0.845233 | − | 0.534398i | \(-0.820538\pi\) |
0.213083 | + | 0.977034i | \(0.431649\pi\) | |||||||
\(998\) | 59.0307 | + | 59.0307i | 1.86859 | + | 1.86859i | ||||
\(999\) | 7.51500 | + | 10.8228i | 0.237764 | + | 0.342418i |
(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 | 135.2.q.a.2.1 | ✓ | 192 | |
3.2 | odd | 2 | 405.2.r.a.332.16 | 192 | |||
5.2 | odd | 4 | 675.2.ba.b.218.16 | 192 | |||
5.3 | odd | 4 | inner | 135.2.q.a.83.1 | yes | 192 | |
5.4 | even | 2 | 675.2.ba.b.407.16 | 192 | |||
15.8 | even | 4 | 405.2.r.a.8.16 | 192 | |||
27.13 | even | 9 | 405.2.r.a.152.16 | 192 | |||
27.14 | odd | 18 | inner | 135.2.q.a.122.1 | yes | 192 | |
135.13 | odd | 36 | 405.2.r.a.233.16 | 192 | |||
135.14 | odd | 18 | 675.2.ba.b.257.16 | 192 | |||
135.68 | even | 36 | inner | 135.2.q.a.68.1 | yes | 192 | |
135.122 | even | 36 | 675.2.ba.b.68.16 | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
135.2.q.a.2.1 | ✓ | 192 | 1.1 | even | 1 | trivial | |
135.2.q.a.68.1 | yes | 192 | 135.68 | even | 36 | inner | |
135.2.q.a.83.1 | yes | 192 | 5.3 | odd | 4 | inner | |
135.2.q.a.122.1 | yes | 192 | 27.14 | odd | 18 | inner | |
405.2.r.a.8.16 | 192 | 15.8 | even | 4 | |||
405.2.r.a.152.16 | 192 | 27.13 | even | 9 | |||
405.2.r.a.233.16 | 192 | 135.13 | odd | 36 | |||
405.2.r.a.332.16 | 192 | 3.2 | odd | 2 | |||
675.2.ba.b.68.16 | 192 | 135.122 | even | 36 | |||
675.2.ba.b.218.16 | 192 | 5.2 | odd | 4 | |||
675.2.ba.b.257.16 | 192 | 135.14 | odd | 18 | |||
675.2.ba.b.407.16 | 192 | 5.4 | even | 2 |