Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [164,2,Mod(7,164)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(164, base_ring=CyclotomicField(40))
chi = DirichletCharacter(H, H._module([20, 39]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("164.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 164 = 2^{2} \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 164.o (of order \(40\), degree \(16\), 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: | \(1.30954659315\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{40})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{40}]$ |
Embedding invariants
Embedding label | 11.18 | ||
Character | \(\chi\) | \(=\) | 164.11 |
Dual form | 164.2.o.b.15.18 |
$q$-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 \(\left(\mathbb{Z}/164\mathbb{Z}\right)^\times\).
\(n\) | \(83\) | \(129\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{40}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.40600 | + | 0.152222i | 0.994190 | + | 0.107637i | ||||
\(3\) | 0.756584 | − | 1.82656i | 0.436814 | − | 1.05456i | −0.540229 | − | 0.841518i | \(-0.681662\pi\) |
0.977043 | − | 0.213044i | \(-0.0683377\pi\) | |||||||
\(4\) | 1.95366 | + | 0.428048i | 0.976828 | + | 0.214024i | ||||
\(5\) | −1.28598 | + | 2.52388i | −0.575109 | + | 1.12871i | 0.401933 | + | 0.915669i | \(0.368338\pi\) |
−0.977042 | + | 0.213046i | \(0.931662\pi\) | |||||||
\(6\) | 1.34180 | − | 2.45296i | 0.547786 | − | 1.00142i | ||||
\(7\) | −0.634663 | − | 2.64356i | −0.239880 | − | 0.999172i | −0.954156 | − | 0.299308i | \(-0.903244\pi\) |
0.714276 | − | 0.699864i | \(-0.246756\pi\) | |||||||
\(8\) | 2.68168 | + | 0.899225i | 0.948116 | + | 0.317924i | ||||
\(9\) | −0.642564 | − | 0.642564i | −0.214188 | − | 0.214188i | ||||
\(10\) | −2.19228 | + | 3.35282i | −0.693260 | + | 1.06025i | ||||
\(11\) | −3.28267 | + | 3.84351i | −0.989762 | + | 1.15886i | −0.00246234 | + | 0.999997i | \(0.500784\pi\) |
−0.987300 | + | 0.158866i | \(0.949216\pi\) | |||||||
\(12\) | 2.25996 | − | 3.24461i | 0.652394 | − | 0.936637i | ||||
\(13\) | −2.94163 | − | 4.80031i | −0.815862 | − | 1.33137i | −0.940717 | − | 0.339191i | \(-0.889847\pi\) |
0.124855 | − | 0.992175i | \(-0.460153\pi\) | |||||||
\(14\) | −0.489925 | − | 3.81345i | −0.130938 | − | 1.01919i | ||||
\(15\) | 3.63706 | + | 4.25845i | 0.939084 | + | 1.09953i | ||||
\(16\) | 3.63355 | + | 1.67252i | 0.908387 | + | 0.418130i | ||||
\(17\) | 0.0571608 | + | 0.726296i | 0.0138635 | + | 0.176153i | 0.999951 | + | 0.00992409i | \(0.00315899\pi\) |
−0.986087 | + | 0.166229i | \(0.946841\pi\) | |||||||
\(18\) | −0.805631 | − | 1.00126i | −0.189889 | − | 0.235998i | ||||
\(19\) | −0.531502 | − | 0.325705i | −0.121935 | − | 0.0747218i | 0.460194 | − | 0.887819i | \(-0.347780\pi\) |
−0.582129 | + | 0.813097i | \(0.697780\pi\) | |||||||
\(20\) | −3.59271 | + | 4.38034i | −0.803355 | + | 0.979473i | ||||
\(21\) | −5.30879 | − | 0.840829i | −1.15847 | − | 0.183484i | ||||
\(22\) | −5.20049 | + | 4.90427i | −1.10875 | + | 1.04559i | ||||
\(23\) | −0.882818 | − | 0.641405i | −0.184080 | − | 0.133742i | 0.491929 | − | 0.870635i | \(-0.336292\pi\) |
−0.676009 | + | 0.736893i | \(0.736292\pi\) | |||||||
\(24\) | 3.67140 | − | 4.21789i | 0.749421 | − | 0.860974i | ||||
\(25\) | −1.77731 | − | 2.44625i | −0.355461 | − | 0.489251i | ||||
\(26\) | −3.40522 | − | 7.19701i | −0.667818 | − | 1.41145i | ||||
\(27\) | 3.81983 | − | 1.58223i | 0.735127 | − | 0.304500i | ||||
\(28\) | −0.108342 | − | 5.43628i | −0.0204747 | − | 1.02736i | ||||
\(29\) | −0.452928 | + | 5.75499i | −0.0841066 | + | 1.06868i | 0.799569 | + | 0.600575i | \(0.205062\pi\) |
−0.883675 | + | 0.468101i | \(0.844938\pi\) | |||||||
\(30\) | 4.46546 | + | 6.54101i | 0.815278 | + | 1.19422i | ||||
\(31\) | −2.23549 | + | 6.88014i | −0.401506 | + | 1.23571i | 0.522271 | + | 0.852780i | \(0.325085\pi\) |
−0.923777 | + | 0.382930i | \(0.874915\pi\) | |||||||
\(32\) | 4.85417 | + | 2.90466i | 0.858103 | + | 0.513477i | ||||
\(33\) | 4.53677 | + | 8.90392i | 0.789751 | + | 1.54997i | ||||
\(34\) | −0.0301906 | + | 1.02987i | −0.00517765 | + | 0.176622i | ||||
\(35\) | 7.48820 | + | 1.79776i | 1.26574 | + | 0.303877i | ||||
\(36\) | −0.980301 | − | 1.53040i | −0.163384 | − | 0.255066i | ||||
\(37\) | −1.79487 | − | 5.52404i | −0.295075 | − | 0.908147i | −0.983196 | − | 0.182552i | \(-0.941564\pi\) |
0.688121 | − | 0.725596i | \(-0.258436\pi\) | |||||||
\(38\) | −0.697710 | − | 0.538846i | −0.113184 | − | 0.0874124i | ||||
\(39\) | −10.9936 | + | 1.74122i | −1.76039 | + | 0.278818i | ||||
\(40\) | −5.71813 | + | 5.61185i | −0.904115 | + | 0.887312i | ||||
\(41\) | 4.55866 | − | 4.49651i | 0.711943 | − | 0.702237i | ||||
\(42\) | −7.33615 | − | 1.99032i | −1.13199 | − | 0.307113i | ||||
\(43\) | 0.642081 | + | 4.05394i | 0.0979164 | + | 0.618220i | 0.987030 | + | 0.160534i | \(0.0513216\pi\) |
−0.889114 | + | 0.457686i | \(0.848678\pi\) | |||||||
\(44\) | −8.05842 | + | 6.10377i | −1.21485 | + | 0.920177i | ||||
\(45\) | 2.44808 | − | 0.795430i | 0.364939 | − | 0.118576i | ||||
\(46\) | −1.14360 | − | 1.03620i | −0.168615 | − | 0.152779i | ||||
\(47\) | 2.91790 | − | 12.1539i | 0.425619 | − | 1.77283i | −0.186903 | − | 0.982378i | \(-0.559845\pi\) |
0.612522 | − | 0.790454i | \(-0.290155\pi\) | |||||||
\(48\) | 5.80403 | − | 5.37148i | 0.837740 | − | 0.775306i | ||||
\(49\) | −0.348572 | + | 0.177606i | −0.0497960 | + | 0.0253723i | ||||
\(50\) | −2.12651 | − | 3.70997i | −0.300735 | − | 0.524669i | ||||
\(51\) | 1.36987 | + | 0.445097i | 0.191820 | + | 0.0623260i | ||||
\(52\) | −3.69218 | − | 10.6373i | −0.512013 | − | 1.47513i | ||||
\(53\) | −7.02659 | − | 0.553004i | −0.965176 | − | 0.0759610i | −0.413934 | − | 0.910307i | \(-0.635846\pi\) |
−0.551242 | + | 0.834346i | \(0.685846\pi\) | |||||||
\(54\) | 5.61152 | − | 1.64314i | 0.763632 | − | 0.223603i | ||||
\(55\) | −5.47912 | − | 13.2278i | −0.738805 | − | 1.78363i | ||||
\(56\) | 0.675194 | − | 7.65988i | 0.0902266 | − | 1.02359i | ||||
\(57\) | −0.997043 | + | 0.724394i | −0.132062 | + | 0.0959484i | ||||
\(58\) | −1.51285 | + | 8.02256i | −0.198647 | + | 1.05341i | ||||
\(59\) | 2.32978 | − | 3.20667i | 0.303312 | − | 0.417473i | −0.629969 | − | 0.776620i | \(-0.716932\pi\) |
0.933281 | + | 0.359147i | \(0.116932\pi\) | |||||||
\(60\) | 5.28274 | + | 9.87638i | 0.681999 | + | 1.27504i | ||||
\(61\) | −0.330485 | + | 2.08660i | −0.0423142 | + | 0.267162i | −0.999771 | − | 0.0214164i | \(-0.993182\pi\) |
0.957456 | + | 0.288578i | \(0.0931824\pi\) | |||||||
\(62\) | −4.19041 | + | 9.33317i | −0.532182 | + | 1.18531i | ||||
\(63\) | −1.29085 | + | 2.10647i | −0.162631 | + | 0.265390i | ||||
\(64\) | 6.38279 | + | 4.82286i | 0.797849 | + | 0.602858i | ||||
\(65\) | 15.8983 | − | 1.25122i | 1.97194 | − | 0.155195i | ||||
\(66\) | 5.02332 | + | 13.2095i | 0.618328 | + | 1.62598i | ||||
\(67\) | 2.50427 | − | 2.13885i | 0.305945 | − | 0.261302i | −0.483198 | − | 0.875511i | \(-0.660525\pi\) |
0.789143 | + | 0.614209i | \(0.210525\pi\) | |||||||
\(68\) | −0.199217 | + | 1.44340i | −0.0241587 | + | 0.175038i | ||||
\(69\) | −1.83949 | + | 1.12724i | −0.221448 | + | 0.135704i | ||||
\(70\) | 10.2547 | + | 3.66751i | 1.22568 | + | 0.438352i | ||||
\(71\) | −9.35782 | − | 7.99233i | −1.11057 | − | 0.948515i | −0.111592 | − | 0.993754i | \(-0.535595\pi\) |
−0.998976 | + | 0.0452390i | \(0.985595\pi\) | |||||||
\(72\) | −1.14534 | − | 2.30096i | −0.134980 | − | 0.271171i | ||||
\(73\) | 3.14718 | − | 3.14718i | 0.368349 | − | 0.368349i | −0.498526 | − | 0.866875i | \(-0.666125\pi\) |
0.866875 | + | 0.498526i | \(0.166125\pi\) | |||||||
\(74\) | −1.68270 | − | 8.04001i | −0.195610 | − | 0.934632i | ||||
\(75\) | −5.81290 | + | 1.39555i | −0.671216 | + | 0.161145i | ||||
\(76\) | −0.898955 | − | 0.863823i | −0.103117 | − | 0.0990873i | ||||
\(77\) | 12.2440 | + | 6.23860i | 1.39533 | + | 0.710955i | ||||
\(78\) | −15.7221 | + | 0.774675i | −1.78017 | + | 0.0877146i | ||||
\(79\) | 14.9861 | + | 6.20746i | 1.68607 | + | 0.698394i | 0.999587 | − | 0.0287504i | \(-0.00915279\pi\) |
0.686485 | + | 0.727144i | \(0.259153\pi\) | |||||||
\(80\) | −8.89392 | + | 7.01982i | −0.994371 | + | 0.784840i | ||||
\(81\) | − | 10.9004i | − | 1.21115i | ||||||
\(82\) | 7.09393 | − | 5.62815i | 0.783394 | − | 0.621526i | ||||
\(83\) | 6.63164i | 0.727917i | 0.931415 | + | 0.363958i | \(0.118575\pi\) | ||||
−0.931415 | + | 0.363958i | \(0.881425\pi\) | |||||||
\(84\) | −10.0116 | − | 3.91511i | −1.09236 | − | 0.427173i | ||||
\(85\) | −1.90659 | − | 0.789737i | −0.206799 | − | 0.0856591i | ||||
\(86\) | 0.285664 | + | 5.79756i | 0.0308039 | + | 0.625167i | ||||
\(87\) | 10.1691 | + | 5.18143i | 1.09025 | + | 0.555508i | ||||
\(88\) | −12.2592 | + | 7.35521i | −1.30684 | + | 0.784068i | ||||
\(89\) | 7.99728 | − | 1.91998i | 0.847710 | − | 0.203517i | 0.213755 | − | 0.976887i | \(-0.431430\pi\) |
0.633955 | + | 0.773370i | \(0.281430\pi\) | |||||||
\(90\) | 3.56308 | − | 0.745720i | 0.375582 | − | 0.0786058i | ||||
\(91\) | −10.8230 | + | 10.8230i | −1.13456 | + | 1.13456i | ||||
\(92\) | −1.45017 | − | 1.63097i | −0.151191 | − | 0.170041i | ||||
\(93\) | 10.8756 | + | 9.28865i | 1.12775 | + | 0.963189i | ||||
\(94\) | 5.95266 | − | 16.6442i | 0.613970 | − | 1.71672i | ||||
\(95\) | 1.50554 | − | 0.922597i | 0.154465 | − | 0.0946565i | ||||
\(96\) | 8.97811 | − | 6.66878i | 0.916325 | − | 0.680630i | ||||
\(97\) | −8.34861 | + | 7.13039i | −0.847673 | + | 0.723981i | −0.963045 | − | 0.269341i | \(-0.913194\pi\) |
0.115372 | + | 0.993322i | \(0.463194\pi\) | |||||||
\(98\) | −0.517126 | + | 0.196653i | −0.0522377 | + | 0.0198650i | ||||
\(99\) | 4.57903 | − | 0.360378i | 0.460210 | − | 0.0362193i | ||||
\(100\) | −2.42513 | − | 5.53991i | −0.242513 | − | 0.553991i | ||||
\(101\) | −5.80846 | + | 9.47855i | −0.577963 | + | 0.943151i | 0.421379 | + | 0.906885i | \(0.361546\pi\) |
−0.999342 | + | 0.0362659i | \(0.988454\pi\) | |||||||
\(102\) | 1.85828 | + | 0.834329i | 0.183997 | + | 0.0826109i | ||||
\(103\) | 0.586386 | − | 3.70230i | 0.0577784 | − | 0.364798i | −0.941811 | − | 0.336143i | \(-0.890877\pi\) |
0.999589 | − | 0.0286553i | \(-0.00912251\pi\) | |||||||
\(104\) | −3.57196 | − | 15.5181i | −0.350259 | − | 1.52167i | ||||
\(105\) | 8.94916 | − | 12.3175i | 0.873349 | − | 1.20206i | ||||
\(106\) | −9.79518 | − | 1.84713i | −0.951392 | − | 0.179409i | ||||
\(107\) | 4.95050 | − | 3.59675i | 0.478583 | − | 0.347711i | −0.322194 | − | 0.946674i | \(-0.604420\pi\) |
0.800777 | + | 0.598963i | \(0.204420\pi\) | |||||||
\(108\) | 8.13991 | − | 1.45606i | 0.783263 | − | 0.140109i | ||||
\(109\) | 2.08867 | + | 5.04249i | 0.200058 | + | 0.482983i | 0.991789 | − | 0.127888i | \(-0.0408196\pi\) |
−0.791731 | + | 0.610870i | \(0.790820\pi\) | |||||||
\(110\) | −5.69007 | − | 19.4323i | −0.542527 | − | 1.85279i | ||||
\(111\) | −11.4479 | − | 0.900972i | −1.08659 | − | 0.0855165i | ||||
\(112\) | 2.11533 | − | 10.6670i | 0.199880 | − | 1.00794i | ||||
\(113\) | 3.65621 | + | 1.18798i | 0.343947 | + | 0.111755i | 0.475897 | − | 0.879501i | \(-0.342124\pi\) |
−0.131949 | + | 0.991256i | \(0.542124\pi\) | |||||||
\(114\) | −1.51211 | + | 0.866724i | −0.141622 | + | 0.0811761i | ||||
\(115\) | 2.75412 | − | 1.40329i | 0.256823 | − | 0.130858i | ||||
\(116\) | −3.34828 | + | 11.0494i | −0.310880 | + | 1.02591i | ||||
\(117\) | −1.19432 | + | 4.97470i | −0.110415 | + | 0.459911i | ||||
\(118\) | 3.76380 | − | 4.15393i | 0.346486 | − | 0.382400i | ||||
\(119\) | 1.88373 | − | 0.612061i | 0.172681 | − | 0.0561076i | ||||
\(120\) | 5.92411 | + | 14.6903i | 0.540795 | + | 1.34104i | ||||
\(121\) | −2.27589 | − | 14.3694i | −0.206899 | − | 1.30631i | ||||
\(122\) | −0.782287 | + | 2.88344i | −0.0708250 | + | 0.261055i | ||||
\(123\) | −4.76412 | − | 11.7286i | −0.429566 | − | 1.05754i | ||||
\(124\) | −7.31242 | + | 12.4845i | −0.656674 | + | 1.12114i | ||||
\(125\) | −5.52908 | + | 0.875721i | −0.494536 | + | 0.0783269i | ||||
\(126\) | −2.13558 | + | 2.76519i | −0.190252 | + | 0.246343i | ||||
\(127\) | −2.62707 | − | 8.08529i | −0.233115 | − | 0.717453i | −0.997366 | − | 0.0725347i | \(-0.976891\pi\) |
0.764251 | − | 0.644919i | \(-0.223109\pi\) | |||||||
\(128\) | 8.24004 | + | 7.75253i | 0.728323 | + | 0.685234i | ||||
\(129\) | 7.89053 | + | 1.89435i | 0.694722 | + | 0.166788i | ||||
\(130\) | 22.5434 | + | 0.660859i | 1.97719 | + | 0.0579612i | ||||
\(131\) | 1.26693 | + | 2.48649i | 0.110692 | + | 0.217246i | 0.939707 | − | 0.341981i | \(-0.111098\pi\) |
−0.829015 | + | 0.559227i | \(0.811098\pi\) | |||||||
\(132\) | 5.05199 | + | 19.3372i | 0.439719 | + | 1.68308i | ||||
\(133\) | −0.523696 | + | 1.61177i | −0.0454102 | + | 0.139758i | ||||
\(134\) | 3.84657 | − | 2.62601i | 0.332293 | − | 0.226852i | ||||
\(135\) | −0.918884 | + | 11.6755i | −0.0790849 | + | 1.00487i | ||||
\(136\) | −0.499817 | + | 1.99909i | −0.0428589 | + | 0.171421i | ||||
\(137\) | −19.8790 | + | 8.23413i | −1.69837 | + | 0.703489i | −0.999926 | − | 0.0121718i | \(-0.996126\pi\) |
−0.698448 | + | 0.715661i | \(0.746126\pi\) | |||||||
\(138\) | −2.75791 | + | 1.30488i | −0.234768 | + | 0.111079i | ||||
\(139\) | −1.29283 | − | 1.77942i | −0.109656 | − | 0.150929i | 0.750662 | − | 0.660687i | \(-0.229735\pi\) |
−0.860318 | + | 0.509758i | \(0.829735\pi\) | |||||||
\(140\) | 13.8599 | + | 6.71752i | 1.17137 | + | 0.567734i | ||||
\(141\) | −19.9922 | − | 14.5252i | −1.68365 | − | 1.22324i | ||||
\(142\) | −11.9405 | − | 12.6617i | −1.00202 | − | 1.06254i | ||||
\(143\) | 28.1065 | + | 4.45163i | 2.35038 | + | 0.372264i | ||||
\(144\) | −1.26009 | − | 3.40949i | −0.105007 | − | 0.284124i | ||||
\(145\) | −13.9425 | − | 8.54396i | −1.15786 | − | 0.709537i | ||||
\(146\) | 4.90399 | − | 3.94585i | 0.405857 | − | 0.326561i | ||||
\(147\) | 0.0606837 | + | 0.771059i | 0.00500511 | + | 0.0635959i | ||||
\(148\) | −1.14200 | − | 11.5604i | −0.0938721 | − | 0.950257i | ||||
\(149\) | 7.79130 | + | 9.12244i | 0.638288 | + | 0.747339i | 0.981404 | − | 0.191954i | \(-0.0614824\pi\) |
−0.343116 | + | 0.939293i | \(0.611482\pi\) | |||||||
\(150\) | −8.38535 | + | 1.07729i | −0.684661 | + | 0.0879605i | ||||
\(151\) | 3.89605 | + | 6.35778i | 0.317056 | + | 0.517388i | 0.970977 | − | 0.239175i | \(-0.0768769\pi\) |
−0.653920 | + | 0.756563i | \(0.726877\pi\) | |||||||
\(152\) | −1.13243 | − | 1.35137i | −0.0918526 | − | 0.109611i | ||||
\(153\) | 0.429963 | − | 0.503421i | 0.0347604 | − | 0.0406992i | ||||
\(154\) | 16.2653 | + | 10.6353i | 1.31070 | + | 0.857014i | ||||
\(155\) | −14.4899 | − | 14.4899i | −1.16385 | − | 1.16385i | ||||
\(156\) | −22.2231 | − | 1.30406i | −1.77927 | − | 0.104408i | ||||
\(157\) | −4.46047 | − | 18.5792i | −0.355984 | − | 1.48278i | −0.807153 | − | 0.590342i | \(-0.798993\pi\) |
0.451169 | − | 0.892439i | \(-0.351007\pi\) | |||||||
\(158\) | 20.1255 | + | 11.0089i | 1.60110 | + | 0.875821i | ||||
\(159\) | −6.32630 | + | 12.4161i | −0.501708 | + | 0.984657i | ||||
\(160\) | −13.5734 | + | 8.51600i | −1.07307 | + | 0.673249i | ||||
\(161\) | −1.13530 | + | 2.74086i | −0.0894743 | + | 0.216010i | ||||
\(162\) | 1.65928 | − | 15.3259i | 0.130366 | − | 1.20412i | ||||
\(163\) | −24.4302 | −1.91352 | −0.956760 | − | 0.290880i | \(-0.906052\pi\) | ||||
−0.956760 | + | 0.290880i | \(0.906052\pi\) | |||||||
\(164\) | 10.8308 | − | 6.83331i | 0.845742 | − | 0.533592i | ||||
\(165\) | −28.3067 | −2.20367 | ||||||||
\(166\) | −1.00948 | + | 9.32406i | −0.0783510 | + | 0.723688i | ||||
\(167\) | −7.00002 | + | 16.8995i | −0.541678 | + | 1.30773i | 0.381861 | + | 0.924220i | \(0.375283\pi\) |
−0.923539 | + | 0.383506i | \(0.874717\pi\) | |||||||
\(168\) | −13.4804 | − | 7.02862i | −1.04003 | − | 0.542270i | ||||
\(169\) | −8.48789 | + | 16.6584i | −0.652915 | + | 1.28142i | ||||
\(170\) | −2.56045 | − | 1.40059i | −0.196378 | − | 0.107421i | ||||
\(171\) | 0.132238 | + | 0.550810i | 0.0101125 | + | 0.0421215i | ||||
\(172\) | −0.480876 | + | 8.19484i | −0.0366664 | + | 0.624851i | ||||
\(173\) | −2.96217 | − | 2.96217i | −0.225210 | − | 0.225210i | 0.585478 | − | 0.810688i | \(-0.300907\pi\) |
−0.810688 | + | 0.585478i | \(0.800907\pi\) | |||||||
\(174\) | 13.5090 | + | 8.83305i | 1.02412 | + | 0.669632i | ||||
\(175\) | −5.33883 | + | 6.25097i | −0.403578 | + | 0.472529i | ||||
\(176\) | −18.3561 | + | 8.47527i | −1.38364 | + | 0.638847i | ||||
\(177\) | −4.09449 | − | 6.68159i | −0.307760 | − | 0.502219i | ||||
\(178\) | 11.5364 | − | 1.48212i | 0.864691 | − | 0.111089i | ||||
\(179\) | 7.74208 | + | 9.06482i | 0.578671 | + | 0.677536i | 0.970109 | − | 0.242668i | \(-0.0780226\pi\) |
−0.391439 | + | 0.920204i | \(0.628023\pi\) | |||||||
\(180\) | 5.12320 | − | 0.506100i | 0.381860 | − | 0.0377225i | ||||
\(181\) | −0.507298 | − | 6.44584i | −0.0377072 | − | 0.479115i | −0.986560 | − | 0.163397i | \(-0.947755\pi\) |
0.948853 | − | 0.315718i | \(-0.102245\pi\) | |||||||
\(182\) | −16.8646 | + | 13.5696i | −1.25008 | + | 1.00584i | ||||
\(183\) | 3.56125 | + | 2.18234i | 0.263255 | + | 0.161323i | ||||
\(184\) | −1.79067 | − | 2.51389i | −0.132010 | − | 0.185327i | ||||
\(185\) | 16.2502 | + | 2.57378i | 1.19474 | + | 0.189228i | ||||
\(186\) | 13.8771 | + | 14.7153i | 1.01752 | + | 1.07898i | ||||
\(187\) | −2.97917 | − | 2.16449i | −0.217859 | − | 0.158283i | ||||
\(188\) | 10.9030 | − | 22.4956i | 0.795186 | − | 1.64066i | ||||
\(189\) | −6.60702 | − | 9.09378i | −0.480590 | − | 0.661475i | ||||
\(190\) | 2.25723 | − | 1.06799i | 0.163757 | − | 0.0774803i | ||||
\(191\) | 2.82698 | − | 1.17097i | 0.204553 | − | 0.0847287i | −0.278055 | − | 0.960565i | \(-0.589690\pi\) |
0.482608 | + | 0.875837i | \(0.339690\pi\) | |||||||
\(192\) | 13.6383 | − | 8.00962i | 0.984262 | − | 0.578044i | ||||
\(193\) | −0.690746 | + | 8.77676i | −0.0497210 | + | 0.631765i | 0.920688 | + | 0.390299i | \(0.127628\pi\) |
−0.970409 | + | 0.241466i | \(0.922372\pi\) | |||||||
\(194\) | −12.8235 | + | 8.75446i | −0.920676 | + | 0.628534i | ||||
\(195\) | 9.74298 | − | 29.9858i | 0.697709 | − | 2.14733i | ||||
\(196\) | −0.757013 | + | 0.197776i | −0.0540724 | + | 0.0141269i | ||||
\(197\) | 9.01440 | + | 17.6918i | 0.642249 | + | 1.26049i | 0.950955 | + | 0.309328i | \(0.100104\pi\) |
−0.308706 | + | 0.951158i | \(0.599896\pi\) | |||||||
\(198\) | 6.49296 | + | 0.190341i | 0.461435 | + | 0.0135269i | ||||
\(199\) | 4.66888 | + | 1.12090i | 0.330968 | + | 0.0794585i | 0.395524 | − | 0.918456i | \(-0.370563\pi\) |
−0.0645557 | + | 0.997914i | \(0.520563\pi\) | |||||||
\(200\) | −2.56643 | − | 8.15826i | −0.181474 | − | 0.576876i | ||||
\(201\) | −2.01203 | − | 6.19240i | −0.141918 | − | 0.436778i | ||||
\(202\) | −9.60953 | + | 12.4426i | −0.676124 | + | 0.875461i | ||||
\(203\) | 15.5011 | − | 2.45514i | 1.08797 | − | 0.172317i | ||||
\(204\) | 2.48573 | + | 1.45594i | 0.174036 | + | 0.101936i | ||||
\(205\) | 5.48631 | + | 17.2880i | 0.383181 | + | 1.20744i | ||||
\(206\) | 1.38803 | − | 5.11616i | 0.0967086 | − | 0.356460i | ||||
\(207\) | 0.155123 | + | 0.979411i | 0.0107818 | + | 0.0680738i | ||||
\(208\) | −2.65996 | − | 22.3621i | −0.184435 | − | 1.55053i | ||||
\(209\) | 2.99660 | − | 0.973653i | 0.207279 | − | 0.0673490i | ||||
\(210\) | 14.4575 | − | 15.9561i | 0.997661 | − | 1.10107i | ||||
\(211\) | −1.07793 | + | 4.48989i | −0.0742076 | + | 0.309097i | −0.997113 | − | 0.0759294i | \(-0.975808\pi\) |
0.922906 | + | 0.385026i | \(0.125808\pi\) | |||||||
\(212\) | −13.4908 | − | 4.08810i | −0.926554 | − | 0.280772i | ||||
\(213\) | −21.6784 | + | 11.0457i | −1.48538 | + | 0.756839i | ||||
\(214\) | 7.50790 | − | 4.30344i | 0.513229 | − | 0.294177i | ||||
\(215\) | −11.0574 | − | 3.59276i | −0.754106 | − | 0.245024i | ||||
\(216\) | 11.6663 | − | 0.808134i | 0.793794 | − | 0.0549865i | ||||
\(217\) | 19.6069 | + | 1.54309i | 1.33100 | + | 0.104752i | ||||
\(218\) | 2.16908 | + | 7.40767i | 0.146909 | + | 0.501711i | ||||
\(219\) | −3.36739 | − | 8.12959i | −0.227547 | − | 0.549347i | ||||
\(220\) | −5.04220 | − | 28.1878i | −0.339945 | − | 1.90042i | ||||
\(221\) | 3.31830 | − | 2.41089i | 0.223213 | − | 0.162174i | ||||
\(222\) | −15.9586 | − | 3.00940i | −1.07107 | − | 0.201977i | ||||
\(223\) | 0.321267 | − | 0.442186i | 0.0215136 | − | 0.0296110i | −0.798125 | − | 0.602492i | \(-0.794174\pi\) |
0.819638 | + | 0.572881i | \(0.194174\pi\) | |||||||
\(224\) | 4.59790 | − | 14.6758i | 0.307210 | − | 0.980566i | ||||
\(225\) | −0.429841 | + | 2.71391i | −0.0286561 | + | 0.180927i | ||||
\(226\) | 4.95979 | + | 2.22685i | 0.329920 | + | 0.148128i | ||||
\(227\) | −6.99372 | + | 11.4127i | −0.464189 | + | 0.757488i | −0.995998 | − | 0.0893763i | \(-0.971513\pi\) |
0.531808 | + | 0.846865i | \(0.321513\pi\) | |||||||
\(228\) | −2.25796 | + | 0.988435i | −0.149537 | + | 0.0654607i | ||||
\(229\) | −6.15178 | + | 0.484155i | −0.406521 | + | 0.0319939i | −0.280071 | − | 0.959979i | \(-0.590358\pi\) |
−0.126449 | + | 0.991973i | \(0.540358\pi\) | |||||||
\(230\) | 4.08590 | − | 1.55379i | 0.269416 | − | 0.102454i | ||||
\(231\) | 20.6587 | − | 17.6442i | 1.35924 | − | 1.16090i | ||||
\(232\) | −6.38964 | + | 15.0258i | −0.419500 | + | 0.986489i | ||||
\(233\) | 13.6270 | − | 8.35062i | 0.892733 | − | 0.547067i | 0.00118778 | − | 0.999999i | \(-0.499622\pi\) |
0.891545 | + | 0.452932i | \(0.149622\pi\) | |||||||
\(234\) | −2.43647 | + | 6.81261i | −0.159277 | + | 0.445354i | ||||
\(235\) | 26.9227 | + | 22.9942i | 1.75624 | + | 1.49997i | ||||
\(236\) | 5.92421 | − | 5.26748i | 0.385633 | − | 0.342884i | ||||
\(237\) | 22.6765 | − | 22.6765i | 1.47300 | − | 1.47300i | ||||
\(238\) | 2.74169 | − | 0.573811i | 0.177717 | − | 0.0371946i | ||||
\(239\) | −10.2595 | + | 2.46308i | −0.663630 | + | 0.159324i | −0.551248 | − | 0.834342i | \(-0.685848\pi\) |
−0.112382 | + | 0.993665i | \(0.535848\pi\) | |||||||
\(240\) | 6.09310 | + | 21.5563i | 0.393308 | + | 1.39145i | ||||
\(241\) | −18.0033 | − | 9.17316i | −1.15970 | − | 0.590895i | −0.235148 | − | 0.971959i | \(-0.575558\pi\) |
−0.924548 | + | 0.381064i | \(0.875558\pi\) | |||||||
\(242\) | −1.01255 | − | 20.5498i | −0.0650893 | − | 1.32099i | ||||
\(243\) | −8.45067 | − | 3.50038i | −0.542111 | − | 0.224550i | ||||
\(244\) | −1.53882 | + | 3.93503i | −0.0985128 | + | 0.251915i | ||||
\(245\) | − | 1.10815i | − | 0.0707973i | ||||||
\(246\) | −4.91298 | − | 17.2156i | −0.313240 | − | 1.09763i | ||||
\(247\) | 3.50948i | 0.223303i | ||||||||
\(248\) | −12.1817 | + | 16.4401i | −0.773536 | + | 1.04395i | ||||
\(249\) | 12.1130 | + | 5.01739i | 0.767633 | + | 0.317964i | ||||
\(250\) | −7.90718 | + | 0.389612i | −0.500094 | + | 0.0246412i | ||||
\(251\) | −15.4993 | − | 7.89729i | −0.978308 | − | 0.498473i | −0.109696 | − | 0.993965i | \(-0.534988\pi\) |
−0.868612 | + | 0.495493i | \(0.834988\pi\) | |||||||
\(252\) | −3.42354 | + | 3.56277i | −0.215663 | + | 0.224434i | ||||
\(253\) | 5.36325 | − | 1.28760i | 0.337185 | − | 0.0809509i | ||||
\(254\) | −2.46289 | − | 11.7678i | −0.154536 | − | 0.738377i | ||||
\(255\) | −2.88500 | + | 2.88500i | −0.180666 | + | 0.180666i | ||||
\(256\) | 10.4054 | + | 12.1544i | 0.650335 | + | 0.759647i | ||||
\(257\) | 4.29097 | + | 3.66483i | 0.267663 | + | 0.228606i | 0.773142 | − | 0.634233i | \(-0.218684\pi\) |
−0.505479 | + | 0.862839i | \(0.668684\pi\) | |||||||
\(258\) | 10.8057 | + | 3.86456i | 0.672733 | + | 0.240597i | ||||
\(259\) | −13.4640 | + | 8.25075i | −0.836613 | + | 0.512677i | ||||
\(260\) | 31.5954 | + | 4.36078i | 1.95947 | + | 0.270444i | ||||
\(261\) | 3.98899 | − | 3.40692i | 0.246912 | − | 0.210883i | ||||
\(262\) | 1.40280 | + | 3.68885i | 0.0866654 | + | 0.227898i | ||||
\(263\) | −11.8015 | + | 0.928800i | −0.727713 | + | 0.0572723i | −0.436903 | − | 0.899509i | \(-0.643925\pi\) |
−0.290810 | + | 0.956781i | \(0.593925\pi\) | |||||||
\(264\) | 4.15954 | + | 27.9570i | 0.256002 | + | 1.72064i | ||||
\(265\) | 10.4318 | − | 17.0231i | 0.640820 | − | 1.04572i | ||||
\(266\) | −0.981662 | + | 2.18643i | −0.0601896 | + | 0.134058i | ||||
\(267\) | 2.54367 | − | 16.0601i | 0.155670 | − | 0.982862i | ||||
\(268\) | 5.80801 | − | 3.10662i | 0.354780 | − | 0.189767i | ||||
\(269\) | 2.08329 | − | 2.86741i | 0.127021 | − | 0.174829i | −0.740770 | − | 0.671759i | \(-0.765539\pi\) |
0.867791 | + | 0.496930i | \(0.165539\pi\) | |||||||
\(270\) | −3.06922 | + | 16.2759i | −0.186787 | + | 0.990519i | ||||
\(271\) | 21.9850 | − | 15.9731i | 1.33550 | − | 0.970294i | 0.335899 | − | 0.941898i | \(-0.390960\pi\) |
0.999597 | − | 0.0283965i | \(-0.00904011\pi\) | |||||||
\(272\) | −1.00705 | + | 2.73464i | −0.0610612 | + | 0.165812i | ||||
\(273\) | 11.5803 | + | 27.9572i | 0.700869 | + | 1.69205i | ||||
\(274\) | −29.2032 | + | 8.55115i | −1.76423 | + | 0.516594i | ||||
\(275\) | 15.2365 | + | 1.19914i | 0.918797 | + | 0.0723109i | ||||
\(276\) | −4.07624 | + | 1.41485i | −0.245361 | + | 0.0851639i | ||||
\(277\) | 8.05122 | + | 2.61600i | 0.483751 | + | 0.157180i | 0.540732 | − | 0.841195i | \(-0.318147\pi\) |
−0.0569809 | + | 0.998375i | \(0.518147\pi\) | |||||||
\(278\) | −1.54684 | − | 2.69866i | −0.0927735 | − | 0.161855i | ||||
\(279\) | 5.85738 | − | 2.98448i | 0.350672 | − | 0.178676i | ||||
\(280\) | 18.4644 | + | 11.5546i | 1.10346 | + | 0.690519i | ||||
\(281\) | 2.66467 | − | 11.0991i | 0.158961 | − | 0.662119i | −0.834797 | − | 0.550558i | \(-0.814415\pi\) |
0.993758 | − | 0.111561i | \(-0.0355850\pi\) | |||||||
\(282\) | −25.8979 | − | 23.4656i | −1.54220 | − | 1.39736i | ||||
\(283\) | −5.11521 | + | 1.66203i | −0.304068 | + | 0.0987976i | −0.457077 | − | 0.889427i | \(-0.651104\pi\) |
0.153009 | + | 0.988225i | \(0.451104\pi\) | |||||||
\(284\) | −14.8609 | − | 19.6199i | −0.881830 | − | 1.16422i | ||||
\(285\) | −0.546106 | − | 3.44798i | −0.0323485 | − | 0.204241i | ||||
\(286\) | 38.8400 | + | 10.5374i | 2.29666 | + | 0.623090i | ||||
\(287\) | −14.7800 | − | 9.19733i | −0.872437 | − | 0.542901i | ||||
\(288\) | −1.25268 | − | 4.98555i | −0.0738149 | − | 0.293776i | ||||
\(289\) | 16.2665 | − | 2.57635i | 0.956851 | − | 0.151550i | ||||
\(290\) | −18.3025 | − | 14.1351i | −1.07476 | − | 0.830044i | ||||
\(291\) | 6.70762 | + | 20.6439i | 0.393208 | + | 1.21017i | ||||
\(292\) | 7.49565 | − | 4.80136i | 0.438649 | − | 0.280978i | ||||
\(293\) | 5.38474 | + | 1.29276i | 0.314580 | + | 0.0755240i | 0.387661 | − | 0.921802i | \(-0.373283\pi\) |
−0.0730809 | + | 0.997326i | \(0.523283\pi\) | |||||||
\(294\) | −0.0320513 | + | 1.09334i | −0.00186927 | + | 0.0637652i | ||||
\(295\) | 5.09720 | + | 10.0038i | 0.296771 | + | 0.582445i | ||||
\(296\) | 0.154092 | − | 16.4277i | 0.00895642 | − | 0.954840i | ||||
\(297\) | −6.45794 | + | 19.8755i | −0.374728 | + | 1.15329i | ||||
\(298\) | 9.56591 | + | 14.0121i | 0.554138 | + | 0.811701i | ||||
\(299\) | −0.482015 | + | 6.12458i | −0.0278756 | + | 0.354194i | ||||
\(300\) | −11.9538 | + | 0.238232i | −0.690151 | + | 0.0137543i | ||||
\(301\) | 10.3093 | − | 4.27026i | 0.594220 | − | 0.246134i | ||||
\(302\) | 4.51004 | + | 9.53208i | 0.259524 | + | 0.548510i | ||||
\(303\) | 12.9185 | + | 17.7808i | 0.742148 | + | 1.02148i | ||||
\(304\) | −1.38649 | − | 2.07241i | −0.0795207 | − | 0.118861i | ||||
\(305\) | −4.84133 | − | 3.51743i | −0.277214 | − | 0.201408i | ||||
\(306\) | 0.681158 | − | 0.642359i | 0.0389392 | − | 0.0367212i | ||||
\(307\) | −12.5849 | − | 1.99325i | −0.718259 | − | 0.113761i | −0.213402 | − | 0.976964i | \(-0.568455\pi\) |
−0.504856 | + | 0.863203i | \(0.668455\pi\) | |||||||
\(308\) | 21.2501 | + | 17.4291i | 1.21083 | + | 0.993115i | ||||
\(309\) | −6.31880 | − | 3.87217i | −0.359464 | − | 0.220280i | ||||
\(310\) | −18.1670 | − | 22.5784i | −1.03182 | − | 1.28237i | ||||
\(311\) | −1.10426 | − | 14.0309i | −0.0626166 | − | 0.795620i | −0.945415 | − | 0.325868i | \(-0.894343\pi\) |
0.882799 | − | 0.469752i | \(-0.155657\pi\) | |||||||
\(312\) | −31.0471 | − | 5.21635i | −1.75770 | − | 0.295318i | ||||
\(313\) | 20.7317 | + | 24.2736i | 1.17182 | + | 1.37203i | 0.913939 | + | 0.405851i | \(0.133025\pi\) |
0.257883 | + | 0.966176i | \(0.416975\pi\) | |||||||
\(314\) | −3.44324 | − | 26.8013i | −0.194313 | − | 1.51248i | ||||
\(315\) | −3.65648 | − | 5.96683i | −0.206019 | − | 0.336193i | ||||
\(316\) | 26.6207 | + | 18.5420i | 1.49753 | + | 1.04307i | ||||
\(317\) | −12.3631 | + | 14.4753i | −0.694379 | + | 0.813013i | −0.989817 | − | 0.142349i | \(-0.954534\pi\) |
0.295438 | + | 0.955362i | \(0.404534\pi\) | |||||||
\(318\) | −10.7848 | + | 16.4939i | −0.604779 | + | 0.924934i | ||||
\(319\) | −20.6326 | − | 20.6326i | −1.15520 | − | 1.15520i | ||||
\(320\) | −20.3805 | + | 9.90730i | −1.13930 | + | 0.553835i | ||||
\(321\) | −2.82419 | − | 11.7636i | −0.157631 | − | 0.656581i | ||||
\(322\) | −2.01345 | + | 3.68082i | −0.112205 | + | 0.205124i | ||||
\(323\) | 0.206177 | − | 0.404645i | 0.0114720 | − | 0.0225151i | ||||
\(324\) | 4.66589 | − | 21.2956i | 0.259216 | − | 1.18309i | ||||
\(325\) | −6.51459 | + | 15.7276i | −0.361364 | + | 0.872411i | ||||
\(326\) | −34.3488 | − | 3.71882i | −1.90240 | − | 0.205966i | ||||
\(327\) | 10.7906 | 0.596724 | ||||||||
\(328\) | 16.2682 | − | 7.95893i | 0.898263 | − | 0.439459i | ||||
\(329\) | −33.9815 | −1.87346 | ||||||||
\(330\) | −39.7991 | − | 4.30890i | −2.19087 | − | 0.237197i | ||||
\(331\) | 4.30582 | − | 10.3952i | 0.236669 | − | 0.571371i | −0.760265 | − | 0.649613i | \(-0.774931\pi\) |
0.996934 | + | 0.0782425i | \(0.0249309\pi\) | |||||||
\(332\) | −2.83866 | + | 12.9559i | −0.155792 | + | 0.711050i | ||||
\(333\) | −2.39623 | + | 4.70287i | −0.131313 | + | 0.257716i | ||||
\(334\) | −12.4145 | + | 22.6951i | −0.679291 | + | 1.24182i | ||||
\(335\) | 2.17775 | + | 9.07099i | 0.118983 | + | 0.495601i | ||||
\(336\) | −17.8834 | − | 11.9342i | −0.975621 | − | 0.651066i | ||||
\(337\) | 7.28737 | + | 7.28737i | 0.396968 | + | 0.396968i | 0.877162 | − | 0.480194i | \(-0.159434\pi\) |
−0.480194 | + | 0.877162i | \(0.659434\pi\) | |||||||
\(338\) | −14.4697 | + | 22.1297i | −0.787050 | + | 1.20369i | ||||
\(339\) | 4.93613 | − | 5.77947i | 0.268094 | − | 0.313898i | ||||
\(340\) | −3.38679 | − | 2.35899i | −0.183674 | − | 0.127934i | ||||
\(341\) | −19.1055 | − | 31.1774i | −1.03462 | − | 1.68835i | ||||
\(342\) | 0.102080 | + | 0.794567i | 0.00551988 | + | 0.0429653i | ||||
\(343\) | −11.6687 | − | 13.6623i | −0.630053 | − | 0.737697i | ||||
\(344\) | −1.92355 | + | 11.4487i | −0.103711 | + | 0.617274i | ||||
\(345\) | −0.479471 | − | 6.09226i | −0.0258139 | − | 0.327996i | ||||
\(346\) | −3.71389 | − | 4.61571i | −0.199660 | − | 0.248142i | ||||
\(347\) | −12.8925 | − | 7.90055i | −0.692107 | − | 0.424124i | 0.131476 | − | 0.991319i | \(-0.458028\pi\) |
−0.823583 | + | 0.567196i | \(0.808028\pi\) | |||||||
\(348\) | 17.6491 | + | 14.4756i | 0.946091 | + | 0.775975i | ||||
\(349\) | 18.8446 | + | 2.98470i | 1.00873 | + | 0.159767i | 0.638866 | − | 0.769318i | \(-0.279404\pi\) |
0.369865 | + | 0.929085i | \(0.379404\pi\) | |||||||
\(350\) | −8.45792 | + | 7.97615i | −0.452095 | + | 0.426343i | ||||
\(351\) | −18.8317 | − | 13.6821i | −1.00516 | − | 0.730294i | ||||
\(352\) | −27.0987 | + | 9.12200i | −1.44437 | + | 0.486204i | ||||
\(353\) | −11.5751 | − | 15.9318i | −0.616081 | − | 0.847963i | 0.380979 | − | 0.924584i | \(-0.375587\pi\) |
−0.997060 | + | 0.0766208i | \(0.975587\pi\) | |||||||
\(354\) | −4.73975 | − | 10.0176i | −0.251915 | − | 0.532428i | ||||
\(355\) | 32.2057 | − | 13.3400i | 1.70930 | − | 0.708016i | ||||
\(356\) | 16.4458 | − | 0.327755i | 0.871625 | − | 0.0173710i | ||||
\(357\) | 0.307237 | − | 3.90381i | 0.0162607 | − | 0.206612i | ||||
\(358\) | 9.50548 | + | 13.9236i | 0.502380 | + | 0.735886i | ||||
\(359\) | −2.00210 | + | 6.16183i | −0.105667 | + | 0.325209i | −0.989886 | − | 0.141862i | \(-0.954691\pi\) |
0.884220 | + | 0.467071i | \(0.154691\pi\) | |||||||
\(360\) | 7.28024 | + | 0.0682888i | 0.383702 | + | 0.00359914i | ||||
\(361\) | −8.44941 | − | 16.5829i | −0.444706 | − | 0.872784i | ||||
\(362\) | 0.267940 | − | 9.14005i | 0.0140826 | − | 0.480390i | ||||
\(363\) | −27.9684 | − | 6.71462i | −1.46796 | − | 0.352426i | ||||
\(364\) | −25.7771 | + | 16.5116i | −1.35109 | + | 0.865444i | ||||
\(365\) | 3.89589 | + | 11.9903i | 0.203920 | + | 0.627602i | ||||
\(366\) | 4.67490 | + | 3.61046i | 0.244361 | + | 0.188722i | ||||
\(367\) | 4.12337 | − | 0.653077i | 0.215238 | − | 0.0340903i | −0.0478841 | − | 0.998853i | \(-0.515248\pi\) |
0.263122 | + | 0.964763i | \(0.415248\pi\) | |||||||
\(368\) | −2.13500 | − | 3.80711i | −0.111295 | − | 0.198459i | ||||
\(369\) | −5.81853 | − | 0.0399347i | −0.302900 | − | 0.00207892i | ||||
\(370\) | 22.4560 | + | 6.09237i | 1.16743 | + | 0.316727i | ||||
\(371\) | 2.99761 | + | 18.9262i | 0.155628 | + | 0.982598i | ||||
\(372\) | 17.2712 | + | 22.8021i | 0.895472 | + | 1.18224i | ||||
\(373\) | 28.3511 | − | 9.21184i | 1.46797 | − | 0.476971i | 0.537473 | − | 0.843281i | \(-0.319379\pi\) |
0.930493 | + | 0.366310i | \(0.119379\pi\) | |||||||
\(374\) | −3.85922 | − | 3.49677i | −0.199556 | − | 0.180814i | ||||
\(375\) | −2.58366 | + | 10.7617i | −0.133420 | + | 0.555734i | ||||
\(376\) | 18.7540 | − | 29.9691i | 0.967162 | − | 1.54554i | ||||
\(377\) | 28.9581 | − | 14.7549i | 1.49142 | − | 0.759916i | ||||
\(378\) | −7.90517 | − | 13.7916i | −0.406598 | − | 0.709362i | ||||
\(379\) | 7.77898 | + | 2.52754i | 0.399579 | + | 0.129831i | 0.501911 | − | 0.864919i | \(-0.332630\pi\) |
−0.102332 | + | 0.994750i | \(0.532630\pi\) | |||||||
\(380\) | 3.33623 | − | 1.15799i | 0.171145 | − | 0.0594038i | ||||
\(381\) | −16.7558 | − | 1.31871i | −0.858427 | − | 0.0675597i | ||||
\(382\) | 4.15298 | − | 1.21606i | 0.212485 | − | 0.0622189i | ||||
\(383\) | 10.2389 | + | 24.7188i | 0.523182 | + | 1.26307i | 0.935917 | + | 0.352222i | \(0.114574\pi\) |
−0.412735 | + | 0.910851i | \(0.635426\pi\) | |||||||
\(384\) | 20.3947 | − | 9.18544i | 1.04076 | − | 0.468743i | ||||
\(385\) | −31.4910 | + | 22.8796i | −1.60493 | + | 1.16605i | ||||
\(386\) | −2.30720 | + | 12.2350i | −0.117434 | + | 0.622743i | ||||
\(387\) | 2.19234 | − | 3.01749i | 0.111443 | − | 0.153388i | ||||
\(388\) | −19.3625 | + | 10.3567i | −0.982981 | + | 0.525783i | ||||
\(389\) | −2.79246 | + | 17.6309i | −0.141583 | + | 0.893923i | 0.809977 | + | 0.586461i | \(0.199479\pi\) |
−0.951561 | + | 0.307461i | \(0.900521\pi\) | |||||||
\(390\) | 18.2631 | − | 40.6768i | 0.924788 | − | 2.05975i | ||||
\(391\) | 0.415388 | − | 0.677851i | 0.0210071 | − | 0.0342804i | ||||
\(392\) | −1.09446 | + | 0.162838i | −0.0552788 | + | 0.00822457i | ||||
\(393\) | 5.50025 | − | 0.432879i | 0.277451 | − | 0.0218359i | ||||
\(394\) | 9.98114 | + | 26.2468i | 0.502843 | + | 1.32229i | ||||
\(395\) | −34.9388 | + | 29.8406i | −1.75796 | + | 1.50144i | ||||
\(396\) | 9.10011 | + | 1.25599i | 0.457298 | + | 0.0631160i | ||||
\(397\) | 0.556106 | − | 0.340782i | 0.0279102 | − | 0.0171034i | −0.508473 | − | 0.861078i | \(-0.669790\pi\) |
0.536384 | + | 0.843974i | \(0.319790\pi\) | |||||||
\(398\) | 6.39381 | + | 2.28669i | 0.320493 | + | 0.114621i | ||||
\(399\) | 2.54777 | + | 2.17600i | 0.127548 | + | 0.108936i | ||||
\(400\) | −2.36653 | − | 11.8612i | −0.118326 | − | 0.593058i | ||||
\(401\) | −9.35216 | + | 9.35216i | −0.467024 | + | 0.467024i | −0.900949 | − | 0.433925i | \(-0.857128\pi\) |
0.433925 | + | 0.900949i | \(0.357128\pi\) | |||||||
\(402\) | −1.88629 | − | 9.01277i | −0.0940796 | − | 0.449516i | ||||
\(403\) | 39.6028 | − | 9.50779i | 1.97276 | − | 0.473617i | ||||
\(404\) | −15.4050 | + | 16.0315i | −0.766428 | + | 0.797598i | ||||
\(405\) | 27.5113 | + | 14.0177i | 1.36705 | + | 0.696546i | ||||
\(406\) | 22.1683 | − | 1.09230i | 1.10019 | − | 0.0542099i | ||||
\(407\) | 27.1237 | + | 11.2350i | 1.34447 | + | 0.556899i | ||||
\(408\) | 3.27330 | + | 2.42542i | 0.162053 | + | 0.120076i | ||||
\(409\) | − | 13.3975i | − | 0.662465i | −0.943549 | − | 0.331233i | \(-0.892535\pi\) | ||
0.943549 | − | 0.331233i | \(-0.107465\pi\) | |||||||
\(410\) | 5.08212 | + | 25.1420i | 0.250988 | + | 1.24167i | ||||
\(411\) | 42.5398i | 2.09833i | ||||||||
\(412\) | 2.73036 | − | 6.98202i | 0.134515 | − | 0.343979i | ||||
\(413\) | −9.95566 | − | 4.12377i | −0.489886 | − | 0.202917i | ||||
\(414\) | 0.0690150 | + | 1.40066i | 0.00339190 | + | 0.0688388i | ||||
\(415\) | −16.7375 | − | 8.52817i | −0.821610 | − | 0.418631i | ||||
\(416\) | −0.335893 | − | 31.8460i | −0.0164685 | − | 1.56138i | ||||
\(417\) | −4.22835 | + | 1.01514i | −0.207063 | + | 0.0497114i | ||||
\(418\) | 4.36142 | − | 0.912805i | 0.213324 | − | 0.0446467i | ||||
\(419\) | 9.87852 | − | 9.87852i | 0.482597 | − | 0.482597i | −0.423363 | − | 0.905960i | \(-0.639150\pi\) |
0.905960 | + | 0.423363i | \(0.139150\pi\) | |||||||
\(420\) | 22.7561 | − | 20.2334i | 1.11038 | − | 0.987290i | ||||
\(421\) | −7.93410 | − | 6.77636i | −0.386684 | − | 0.330260i | 0.434762 | − | 0.900545i | \(-0.356832\pi\) |
−0.821446 | + | 0.570286i | \(0.806832\pi\) | |||||||
\(422\) | −2.19903 | + | 6.14869i | −0.107047 | + | 0.299314i | ||||
\(423\) | −9.68461 | + | 5.93474i | −0.470882 | + | 0.288557i | ||||
\(424\) | −18.3458 | − | 7.80146i | −0.890949 | − | 0.378872i | ||||
\(425\) | 1.67511 | − | 1.43068i | 0.0812549 | − | 0.0693983i | ||||
\(426\) | −32.1612 | + | 12.2303i | −1.55821 | + | 0.592559i | ||||
\(427\) | 5.72580 | − | 0.450630i | 0.277091 | − | 0.0218075i | ||||
\(428\) | 11.2112 | − | 4.90776i | 0.541912 | − | 0.237226i | ||||
\(429\) | 29.3960 | − | 47.9700i | 1.41925 | − | 2.31601i | ||||
\(430\) | −14.9997 | − | 6.73458i | −0.723351 | − | 0.324770i | ||||
\(431\) | 1.99028 | − | 12.5661i | 0.0958684 | − | 0.605289i | −0.892244 | − | 0.451554i | \(-0.850870\pi\) |
0.988112 | − | 0.153735i | \(-0.0491302\pi\) | |||||||
\(432\) | 16.5259 | + | 0.639643i | 0.795101 | + | 0.0307748i | ||||
\(433\) | −14.8987 | + | 20.5062i | −0.715984 | + | 0.985467i | 0.283664 | + | 0.958924i | \(0.408450\pi\) |
−0.999648 | + | 0.0265431i | \(0.991550\pi\) | |||||||
\(434\) | 27.3323 | + | 5.15418i | 1.31199 | + | 0.247409i | ||||
\(435\) | −26.1547 | + | 19.0025i | −1.25402 | + | 0.911099i | ||||
\(436\) | 1.92211 | + | 10.7453i | 0.0920524 | + | 0.514609i | ||||
\(437\) | 0.260311 | + | 0.628446i | 0.0124524 | + | 0.0300626i | ||||
\(438\) | −3.49703 | − | 11.9428i | −0.167095 | − | 0.570648i | ||||
\(439\) | −8.13307 | − | 0.640087i | −0.388170 | − | 0.0305497i | −0.117127 | − | 0.993117i | \(-0.537369\pi\) |
−0.271043 | + | 0.962567i | \(0.587369\pi\) | |||||||
\(440\) | −2.79850 | − | 40.3996i | −0.133413 | − | 1.92597i | ||||
\(441\) | 0.338103 | + | 0.109856i | 0.0161001 | + | 0.00523125i | ||||
\(442\) | 5.03251 | − | 2.88458i | 0.239372 | − | 0.137206i | ||||
\(443\) | 36.7216 | − | 18.7106i | 1.74470 | − | 0.888968i | 0.779929 | − | 0.625868i | \(-0.215255\pi\) |
0.964768 | − | 0.263100i | \(-0.0847450\pi\) | |||||||
\(444\) | −21.9797 | − | 6.66046i | −1.04311 | − | 0.316091i | ||||
\(445\) | −5.43857 | + | 22.6533i | −0.257813 | + | 1.07387i | ||||
\(446\) | 0.519011 | − | 0.572808i | 0.0245759 | − | 0.0271233i | ||||
\(447\) | 22.5574 | − | 7.32935i | 1.06693 | − | 0.346666i | ||||
\(448\) | 8.69861 | − | 19.9342i | 0.410971 | − | 0.941802i | ||||
\(449\) | −0.342383 | − | 2.16172i | −0.0161580 | − | 0.102018i | 0.978291 | − | 0.207235i | \(-0.0664463\pi\) |
−0.994449 | + | 0.105217i | \(0.966446\pi\) | |||||||
\(450\) | −1.01747 | + | 3.75032i | −0.0479641 | + | 0.176792i | ||||
\(451\) | 2.31782 | + | 32.2818i | 0.109142 | + | 1.52009i | ||||
\(452\) | 6.63447 | + | 3.88593i | 0.312059 | + | 0.182779i | ||||
\(453\) | 14.5605 | − | 2.30616i | 0.684113 | − | 0.108353i | ||||
\(454\) | −11.5704 | + | 14.9816i | −0.543027 | + | 0.703123i | ||||
\(455\) | −13.3978 | − | 41.2340i | −0.628096 | − | 1.93308i | ||||
\(456\) | −3.32514 | + | 1.04603i | −0.155714 | + | 0.0489847i | ||||
\(457\) | 13.9523 | + | 3.34965i | 0.652662 | + | 0.156690i | 0.546237 | − | 0.837631i | \(-0.316060\pi\) |
0.106424 | + | 0.994321i | \(0.466060\pi\) | |||||||
\(458\) | −8.72308 | − | 0.255716i | −0.407603 | − | 0.0119488i | ||||
\(459\) | 1.36751 | + | 2.68389i | 0.0638299 | + | 0.125273i | ||||
\(460\) | 5.98128 | − | 1.56266i | 0.278879 | − | 0.0728593i | ||||
\(461\) | 11.1103 | − | 34.1941i | 0.517460 | − | 1.59258i | −0.261300 | − | 0.965258i | \(-0.584151\pi\) |
0.778760 | − | 0.627321i | \(-0.215849\pi\) | |||||||
\(462\) | 31.7320 | − | 21.6630i | 1.47630 | − | 1.00785i | ||||
\(463\) | 0.631098 | − | 8.01886i | 0.0293296 | − | 0.372668i | −0.964684 | − | 0.263411i | \(-0.915153\pi\) |
0.994013 | − | 0.109258i | \(-0.0348474\pi\) | |||||||
\(464\) | −11.2711 | + | 20.1535i | −0.523246 | + | 0.935604i | ||||
\(465\) | −37.4293 | + | 15.5037i | −1.73574 | + | 0.718968i | ||||
\(466\) | 20.4306 | − | 9.66662i | 0.946431 | − | 0.447798i | ||||
\(467\) | −15.2064 | − | 20.9298i | −0.703667 | − | 0.968514i | −0.999910 | − | 0.0134017i | \(-0.995734\pi\) |
0.296244 | − | 0.955112i | \(-0.404266\pi\) | |||||||
\(468\) | −4.46270 | + | 9.20762i | −0.206288 | + | 0.425622i | ||||
\(469\) | −7.24353 | − | 5.26273i | −0.334475 | − | 0.243011i | ||||
\(470\) | 34.3530 | + | 36.4280i | 1.58459 | + | 1.68030i | ||||
\(471\) | −37.3106 | − | 5.90942i | −1.71918 | − | 0.272292i | ||||
\(472\) | 9.13125 | − | 6.50426i | 0.420300 | − | 0.299383i | ||||
\(473\) | −17.6891 | − | 10.8399i | −0.813346 | − | 0.498419i | ||||
\(474\) | 35.3350 | − | 28.4313i | 1.62299 | − | 1.30589i | ||||
\(475\) | 0.147886 | + | 1.87907i | 0.00678546 | + | 0.0862174i | ||||
\(476\) | 3.94216 | − | 0.389430i | 0.180688 | − | 0.0178495i | ||||
\(477\) | 4.15969 | + | 4.87037i | 0.190459 | + | 0.222999i | ||||
\(478\) | −14.7997 | + | 1.90137i | −0.676924 | + | 0.0869665i | ||||
\(479\) | 1.60696 | + | 2.62232i | 0.0734238 | + | 0.119817i | 0.887245 | − | 0.461299i | \(-0.152616\pi\) |
−0.813821 | + | 0.581116i | \(0.802616\pi\) | |||||||
\(480\) | 5.28552 | + | 31.2356i | 0.241250 | + | 1.42571i | ||||
\(481\) | −21.2373 | + | 24.8656i | −0.968336 | + | 1.13378i | ||||
\(482\) | −23.9163 | − | 15.6379i | −1.08936 | − | 0.712289i | ||||
\(483\) | 4.14738 | + | 4.14738i | 0.188712 | + | 0.188712i | ||||
\(484\) | 1.70449 | − | 29.0471i | 0.0774768 | − | 1.32032i | ||||
\(485\) | −7.26010 | − | 30.2405i | −0.329664 | − | 1.37315i | ||||
\(486\) | −11.3488 | − | 6.20791i | −0.514791 | − | 0.281596i | ||||
\(487\) | −5.28944 | + | 10.3811i | −0.239687 | + | 0.470413i | −0.979245 | − | 0.202681i | \(-0.935035\pi\) |
0.739558 | + | 0.673093i | \(0.235035\pi\) | |||||||
\(488\) | −2.76257 | + | 5.29840i | −0.125056 | + | 0.239847i | ||||
\(489\) | −18.4835 | + | 44.6231i | −0.835852 | + | 2.01792i | ||||
\(490\) | 0.168685 | − | 1.55806i | 0.00762043 | − | 0.0703859i | ||||
\(491\) | 20.0584 | 0.905222 | 0.452611 | − | 0.891708i | \(-0.350493\pi\) | ||||
0.452611 | + | 0.891708i | \(0.350493\pi\) | |||||||
\(492\) | −4.28703 | − | 24.9530i | −0.193274 | − | 1.12497i | ||||
\(493\) | −4.20572 | −0.189416 | ||||||||
\(494\) | −0.534220 | + | 4.93431i | −0.0240357 | + | 0.222005i | ||||
\(495\) | −4.97900 | + | 12.0204i | −0.223790 | + | 0.540276i | ||||
\(496\) | −19.6299 | + | 21.2604i | −0.881410 | + | 0.954621i | ||||
\(497\) | −15.1892 | + | 29.8104i | −0.681327 | + | 1.33718i | ||||
\(498\) | 16.2672 | + | 8.89831i | 0.728949 | + | 0.398743i | ||||
\(499\) | −10.3645 | − | 43.1711i | −0.463977 | − | 1.93260i | −0.340447 | − | 0.940264i | \(-0.610578\pi\) |
−0.123531 | − | 0.992341i | \(-0.539422\pi\) | |||||||
\(500\) | −11.1768 | − | 0.655857i | −0.499841 | − | 0.0293308i | ||||
\(501\) | 25.5718 | + | 25.5718i | 1.14247 | + | 1.14247i | ||||
\(502\) | −20.5898 | − | 13.4629i | −0.918970 | − | 0.600879i | ||||
\(503\) | 4.45713 | − | 5.21863i | 0.198734 | − | 0.232687i | −0.652086 | − | 0.758145i | \(-0.726106\pi\) |
0.850820 | + | 0.525458i | \(0.176106\pi\) | |||||||
\(504\) | −5.35582 | + | 4.48811i | −0.238567 | + | 0.199916i | ||||
\(505\) | −16.4532 | − | 26.8491i | −0.732156 | − | 1.19477i | ||||
\(506\) | 7.73672 | − | 0.993959i | 0.343939 | − | 0.0441869i | ||||
\(507\) | 24.0057 | + | 28.1071i | 1.06613 | + | 1.24828i | ||||
\(508\) | −1.67150 | − | 16.9204i | −0.0741608 | − | 0.750721i | ||||
\(509\) | −0.905115 | − | 11.5006i | −0.0401185 | − | 0.509754i | −0.983844 | − | 0.179025i | \(-0.942706\pi\) |
0.943726 | − | 0.330729i | \(-0.107294\pi\) | |||||||
\(510\) | −4.49546 | + | 3.61714i | −0.199062 | + | 0.160170i | ||||
\(511\) | −10.3171 | − | 6.32236i | −0.456404 | − | 0.279685i | ||||
\(512\) | 12.7797 | + | 18.6729i | 0.564790 | + | 0.825234i | ||||
\(513\) | −2.54559 | − | 0.403181i | −0.112390 | − | 0.0178009i | ||||
\(514\) | 5.47522 | + | 5.80592i | 0.241501 | + | 0.256088i | ||||
\(515\) | 8.59008 | + | 6.24106i | 0.378524 | + | 0.275014i | ||||
\(516\) | 14.6045 | + | 7.07843i | 0.642928 | + | 0.311611i | ||||
\(517\) | 37.1353 | + | 51.1123i | 1.63321 | + | 2.24792i | ||||
\(518\) | −20.1863 | + | 9.55102i | −0.886935 | + | 0.419648i | ||||
\(519\) | −7.65170 | + | 3.16944i | −0.335872 | + | 0.139123i | ||||
\(520\) | 43.7593 | + | 10.9408i | 1.91897 | + | 0.479785i | ||||
\(521\) | 1.86742 | − | 23.7279i | 0.0818133 | − | 1.03954i | −0.809790 | − | 0.586720i | \(-0.800419\pi\) |
0.891603 | − | 0.452817i | \(-0.149581\pi\) | |||||||
\(522\) | 6.12711 | − | 4.18290i | 0.268177 | − | 0.183081i | ||||
\(523\) | −0.794080 | + | 2.44393i | −0.0347227 | + | 0.106865i | −0.966916 | − | 0.255096i | \(-0.917893\pi\) |
0.932193 | + | 0.361962i | \(0.117893\pi\) | |||||||
\(524\) | 1.41081 | + | 5.40006i | 0.0616315 | + | 0.235903i | ||||
\(525\) | 7.37846 | + | 14.4810i | 0.322022 | + | 0.632005i | ||||
\(526\) | −16.7343 | − | 0.490564i | −0.729650 | − | 0.0213896i | ||||
\(527\) | −5.12480 | − | 1.23036i | −0.223240 | − | 0.0535952i | ||||
\(528\) | 1.59262 | + | 39.9407i | 0.0693099 | + | 1.73819i | ||||
\(529\) | −6.73942 | − | 20.7418i | −0.293018 | − | 0.901818i | ||||
\(530\) | 17.2584 | − | 22.3465i | 0.749655 | − | 0.970671i | ||||
\(531\) | −3.55753 | + | 0.563457i | −0.154384 | + | 0.0244520i | ||||
\(532\) | −1.71304 | + | 2.92468i | −0.0742696 | + | 0.126801i | ||||
\(533\) | −34.9946 | − | 8.65589i | −1.51578 | − | 0.374928i | ||||
\(534\) | 6.02110 | − | 22.1933i | 0.260558 | − | 0.960396i | ||||
\(535\) | 2.71152 | + | 17.1198i | 0.117229 | + | 0.740156i | ||||
\(536\) | 8.63894 | − | 3.48380i | 0.373145 | − | 0.150477i | ||||
\(537\) | 22.4149 | − | 7.28305i | 0.967275 | − | 0.314287i | ||||
\(538\) | 3.36559 | − | 3.71445i | 0.145101 | − | 0.160141i | ||||
\(539\) | 0.461614 | − | 1.92276i | 0.0198831 | − | 0.0828192i | ||||
\(540\) | −6.79287 | + | 22.4166i | −0.292319 | + | 0.964659i | ||||
\(541\) | 3.81669 | − | 1.94470i | 0.164092 | − | 0.0836093i | −0.370015 | − | 0.929026i | \(-0.620648\pi\) |
0.534108 | + | 0.845416i | \(0.320648\pi\) | |||||||
\(542\) | 33.3424 | − | 19.1115i | 1.43218 | − | 0.820908i | ||||
\(543\) | −12.1575 | − | 3.95021i | −0.521728 | − | 0.169520i | ||||
\(544\) | −1.83218 | + | 3.69160i | −0.0785540 | + | 0.158276i | ||||
\(545\) | −15.4126 | − | 1.21300i | −0.660205 | − | 0.0519593i | ||||
\(546\) | 12.0261 | + | 41.0706i | 0.514670 | + | 1.75766i | ||||
\(547\) | 7.69475 | + | 18.5768i | 0.329004 | + | 0.794285i | 0.998667 | + | 0.0516203i | \(0.0164385\pi\) |
−0.669663 | + | 0.742665i | \(0.733561\pi\) | |||||||
\(548\) | −42.3613 | + | 7.57752i | −1.80958 | + | 0.323695i | ||||
\(549\) | 1.55313 | − | 1.12842i | 0.0662860 | − | 0.0481596i | ||||
\(550\) | 21.2400 | + | 4.00533i | 0.905676 | + | 0.170788i | ||||
\(551\) | 2.11516 | − | 2.91127i | 0.0901088 | − | 0.124024i | ||||
\(552\) | −5.94655 | + | 1.36878i | −0.253102 | + | 0.0582591i | ||||
\(553\) | 6.89866 | − | 43.5564i | 0.293361 | − | 1.85221i | ||||
\(554\) | 10.9218 | + | 4.90366i | 0.464022 | + | 0.208337i | ||||
\(555\) | 16.9958 | − | 27.7346i | 0.721431 | − | 1.17727i | ||||
\(556\) | −1.76406 | − | 4.02978i | −0.0748128 | − | 0.170901i | ||||
\(557\) | −13.2413 | + | 1.04212i | −0.561053 | + | 0.0441559i | −0.355815 | − | 0.934556i | \(-0.615797\pi\) |
−0.205238 | + | 0.978712i | \(0.565797\pi\) | |||||||
\(558\) | 8.68976 | − | 3.30455i | 0.367867 | − | 0.139893i | ||||
\(559\) | 17.5714 | − | 15.0074i | 0.743191 | − | 0.634745i | ||||
\(560\) | 24.2020 | + | 19.0564i | 1.02272 | + | 0.805280i | ||||
\(561\) | −6.20756 | + | 3.80400i | −0.262083 | + | 0.160605i | ||||
\(562\) | 5.43605 | − | 15.1997i | 0.229306 | − | 0.641162i | ||||
\(563\) | −16.3853 | − | 13.9944i | −0.690558 | − | 0.589792i | 0.233356 | − | 0.972391i | \(-0.425029\pi\) |
−0.923915 | + | 0.382599i | \(0.875029\pi\) | |||||||
\(564\) | −32.8404 | − | 36.9348i | −1.38283 | − | 1.55524i | ||||
\(565\) | −7.70013 | + | 7.70013i | −0.323947 | + | 0.323947i | ||||
\(566\) | −7.44497 | + | 1.55816i | −0.312936 | + | 0.0654945i | ||||
\(567\) | −28.8158 | + | 6.91807i | −1.21015 | + | 0.290532i | ||||
\(568\) | −17.9077 | − | 29.8476i | −0.751392 | − | 1.25238i | ||||
\(569\) | 9.76143 | + | 4.97370i | 0.409220 | + | 0.208508i | 0.646468 | − | 0.762941i | \(-0.276245\pi\) |
−0.237248 | + | 0.971449i | \(0.576245\pi\) | |||||||
\(570\) | −0.242965 | − | 4.93098i | −0.0101767 | − | 0.206536i | ||||
\(571\) | −21.0442 | − | 8.71679i | −0.880672 | − | 0.364786i | −0.103915 | − | 0.994586i | \(-0.533137\pi\) |
−0.776757 | + | 0.629800i | \(0.783137\pi\) | |||||||
\(572\) | 53.0049 | + | 20.7279i | 2.21625 | + | 0.866676i | ||||
\(573\) | − | 6.04958i | − | 0.252725i | ||||||
\(574\) | −19.3806 | − | 15.1813i | −0.808932 | − | 0.633654i | ||||
\(575\) | 3.29957i | 0.137602i | ||||||||
\(576\) | −1.00235 | − | 7.20035i | −0.0417647 | − | 0.300015i | ||||
\(577\) | −37.8164 | − | 15.6641i | −1.57432 | − | 0.652104i | −0.586818 | − | 0.809719i | \(-0.699620\pi\) |
−0.987501 | + | 0.157615i | \(0.949620\pi\) | |||||||
\(578\) | 23.2628 | − | 1.14623i | 0.967604 | − | 0.0476769i | ||||
\(579\) | 15.5086 | + | 7.90204i | 0.644516 | + | 0.328398i | ||||
\(580\) | −23.5816 | − | 22.6600i | −0.979172 | − | 0.940906i | ||||
\(581\) | 17.5311 | − | 4.20885i | 0.727314 | − | 0.174613i | ||||
\(582\) | 6.28843 | + | 30.0464i | 0.260664 | + | 1.24546i | ||||
\(583\) | 25.1915 | − | 25.1915i | 1.04332 | − | 1.04332i | ||||
\(584\) | 11.2697 | − | 5.60969i | 0.466345 | − | 0.232131i | ||||
\(585\) | −11.0197 | − | 9.41169i | −0.455607 | − | 0.389126i | ||||
\(586\) | 7.37415 | + | 2.63730i | 0.304623 | + | 0.108946i | ||||
\(587\) | −7.99125 | + | 4.89704i | −0.329834 | + | 0.202123i | −0.677549 | − | 0.735478i | \(-0.736958\pi\) |
0.347715 | + | 0.937600i | \(0.386958\pi\) | |||||||
\(588\) | −0.211495 | + | 1.53236i | −0.00872193 | + | 0.0631935i | ||||
\(589\) | 3.42906 | − | 2.92870i | 0.141292 | − | 0.120675i | ||||
\(590\) | 5.64385 | + | 14.8413i | 0.232354 | + | 0.611005i | ||||
\(591\) | 39.1351 | − | 3.08000i | 1.60980 | − | 0.126694i | ||||
\(592\) | 2.71731 | − | 23.0738i | 0.111681 | − | 0.948329i | ||||
\(593\) | −6.44326 | + | 10.5145i | −0.264593 | + | 0.431777i | −0.957153 | − | 0.289584i | \(-0.906483\pi\) |
0.692559 | + | 0.721361i | \(0.256483\pi\) | |||||||
\(594\) | −12.1053 | + | 26.9619i | −0.496688 | + | 1.10626i | ||||
\(595\) | −0.877674 | + | 5.54142i | −0.0359811 | + | 0.227176i | ||||
\(596\) | 11.3167 | + | 21.1572i | 0.463549 | + | 0.866631i | ||||
\(597\) | 5.57979 | − | 7.67992i | 0.228365 | − | 0.314318i | ||||
\(598\) | −1.61001 | + | 8.53777i | −0.0658382 | + | 0.349135i | ||||
\(599\) | −25.6621 | + | 18.6446i | −1.04852 | + | 0.761797i | −0.971931 | − | 0.235266i | \(-0.924404\pi\) |
−0.0765920 | + | 0.997063i | \(0.524404\pi\) | |||||||
\(600\) | −16.8432 | − | 1.48468i | −0.687622 | − | 0.0606117i | ||||
\(601\) | 16.2201 | + | 39.1587i | 0.661631 | + | 1.59732i | 0.795248 | + | 0.606285i | \(0.207341\pi\) |
−0.133617 | + | 0.991033i | \(0.542659\pi\) | |||||||
\(602\) | 15.1449 | − | 4.43467i | 0.617261 | − | 0.180744i | ||||
\(603\) | −2.98350 | − | 0.234806i | −0.121497 | − | 0.00956205i | ||||
\(604\) | 4.89011 | + | 14.0886i | 0.198976 | + | 0.573257i | ||||
\(605\) | 39.1935 | + | 12.7347i | 1.59344 | + | 0.517740i | ||||
\(606\) | 15.4567 | + | 26.9662i | 0.627887 | + | 1.09543i | ||||
\(607\) | −34.0026 | + | 17.3252i | −1.38012 | + | 0.703207i | −0.977258 | − | 0.212053i | \(-0.931985\pi\) |
−0.402864 | + | 0.915260i | \(0.631985\pi\) | |||||||
\(608\) | −1.63393 | − | 3.12486i | −0.0662648 | − | 0.126730i | ||||
\(609\) | 7.24346 | − | 30.1712i | 0.293520 | − | 1.22260i | ||||
\(610\) | −6.27147 | − | 5.68246i | −0.253924 | − | 0.230076i | ||||
\(611\) | −66.9260 | + | 21.7456i | −2.70754 | + | 0.879732i | ||||
\(612\) | 1.05549 | − | 0.799468i | 0.0426656 | − | 0.0323166i | ||||
\(613\) | 0.878651 | + | 5.54758i | 0.0354884 | + | 0.224065i | 0.999058 | − | 0.0433924i | \(-0.0138166\pi\) |
−0.963570 | + | 0.267457i | \(0.913817\pi\) | |||||||
\(614\) | −17.3909 | − | 4.71821i | −0.701841 | − | 0.190412i | ||||
\(615\) | 35.7283 | + | 3.05874i | 1.44070 | + | 0.123340i | ||||
\(616\) | 27.2244 | + | 27.7400i | 1.09690 | + | 1.11768i | ||||
\(617\) | −21.1341 | + | 3.34731i | −0.850827 | + | 0.134758i | −0.566593 | − | 0.823998i | \(-0.691739\pi\) |
−0.284233 | + | 0.958755i | \(0.591739\pi\) | |||||||
\(618\) | −8.29478 | − | 6.40612i | −0.333665 | − | 0.257692i | ||||
\(619\) | 1.59079 | + | 4.89595i | 0.0639393 | + | 0.196785i | 0.977923 | − | 0.208966i | \(-0.0670099\pi\) |
−0.913984 | + | 0.405751i | \(0.867010\pi\) | |||||||
\(620\) | −22.1059 | − | 34.5106i | −0.887793 | − | 1.38598i | ||||
\(621\) | −4.38707 | − | 1.05324i | −0.176047 | − | 0.0422651i | ||||
\(622\) | 0.583235 | − | 19.8955i | 0.0233856 | − | 0.797737i | ||||
\(623\) | −10.1512 | − | 19.9228i | −0.406697 | − | 0.798189i | ||||
\(624\) | −42.8581 | − | 12.0602i | −1.71570 | − | 0.482796i | ||||
\(625\) | 9.57202 | − | 29.4596i | 0.382881 | − | 1.17839i | ||||
\(626\) | 25.4537 | + | 37.2845i | 1.01733 | + | 1.49019i | ||||
\(627\) | 0.488745 | − | 6.21010i | 0.0195186 | − | 0.248007i | ||||
\(628\) | −0.761436 | − | 38.2067i | −0.0303846 | − | 1.52461i | ||||
\(629\) | 3.90950 | − | 1.61937i | 0.155882 | − | 0.0645684i | ||||
\(630\) | −4.23271 | − | 8.94594i | −0.168635 | − | 0.356415i | ||||
\(631\) | 11.5974 | + | 15.9625i | 0.461687 | + | 0.635457i | 0.974857 | − | 0.222829i | \(-0.0715292\pi\) |
−0.513171 | + | 0.858287i | \(0.671529\pi\) | |||||||
\(632\) | 34.6061 | + | 30.1223i | 1.37656 | + | 1.19820i | ||||
\(633\) | 7.38549 | + | 5.36588i | 0.293547 | + | 0.213274i | ||||
\(634\) | −19.5859 | + | 18.4703i | −0.777855 | + | 0.733548i | ||||
\(635\) | 23.7847 | + | 3.76712i | 0.943867 | + | 0.149494i | ||||
\(636\) | −17.6741 | + | 21.5487i | −0.700823 | + | 0.854463i | ||||
\(637\) | 1.87793 | + | 1.15080i | 0.0744065 | + | 0.0455964i | ||||
\(638\) | −25.8686 | − | 32.1501i | −1.02415 | − | 1.27283i | ||||
\(639\) | 0.877412 | + | 11.1486i | 0.0347099 | + | 0.441031i | ||||
\(640\) | −30.1630 | + | 10.8273i | −1.19230 | + | 0.427985i | ||||
\(641\) | −1.63876 | − | 1.91874i | −0.0647271 | − | 0.0757857i | 0.727098 | − | 0.686534i | \(-0.240869\pi\) |
−0.791825 | + | 0.610748i | \(0.790869\pi\) | |||||||
\(642\) | −2.18012 | − | 16.9695i | −0.0860426 | − | 0.669733i | ||||
\(643\) | 4.45384 | + | 7.26801i | 0.175642 | + | 0.286622i | 0.928331 | − | 0.371754i | \(-0.121244\pi\) |
−0.752689 | + | 0.658376i | \(0.771244\pi\) | |||||||
\(644\) | −3.39121 | + | 4.86873i | −0.133632 | + | 0.191855i | ||||
\(645\) | −14.9282 | + | 17.4787i | −0.587797 | + | 0.688222i | ||||
\(646\) | 0.351480 | − | 0.537545i | 0.0138288 | − | 0.0211494i | ||||
\(647\) | 33.1653 | + | 33.1653i | 1.30386 | + | 1.30386i | 0.925765 | + | 0.378099i | \(0.123422\pi\) |
0.378099 | + | 0.925765i | \(0.376578\pi\) | |||||||
\(648\) | 9.80190 | − | 29.2313i | 0.385055 | − | 1.14832i | ||||
\(649\) | 4.67698 | + | 19.4810i | 0.183587 | + | 0.764696i | ||||
\(650\) | −11.5536 | + | 21.1213i | −0.453169 | + | 0.828446i | ||||
\(651\) | 17.6528 | − | 34.6455i | 0.691867 | − | 1.35786i | ||||
\(652\) | −47.7282 | − | 10.4573i | −1.86918 | − | 0.409539i | ||||
\(653\) | 7.49515 | − | 18.0949i | 0.293308 | − | 0.708108i | −0.706692 | − | 0.707521i | \(-0.749813\pi\) |
1.00000 | 0.000586444i | \(-0.000186671\pi\) | ||||||||
\(654\) | 15.1716 | + | 1.64258i | 0.593257 | + | 0.0642298i | ||||
\(655\) | −7.90486 | −0.308868 | ||||||||
\(656\) | 24.0846 | − | 8.71385i | 0.940346 | − | 0.340219i | ||||
\(657\) | −4.04453 | −0.157792 | ||||||||
\(658\) | −47.7779 | − | 5.17274i | −1.86258 | − | 0.201655i | ||||
\(659\) | 14.3361 | − | 34.6103i | 0.558454 | − | 1.34823i | −0.352536 | − | 0.935798i | \(-0.614680\pi\) |
0.910990 | − | 0.412429i | \(-0.135320\pi\) | |||||||
\(660\) | −55.3015 | − | 12.1166i | −2.15261 | − | 0.471639i | ||||
\(661\) | −17.8575 | + | 35.0473i | −0.694575 | + | 1.36318i | 0.226582 | + | 0.973992i | \(0.427245\pi\) |
−0.921158 | + | 0.389189i | \(0.872755\pi\) | |||||||
\(662\) | 7.63635 | − | 13.9602i | 0.296795 | − | 0.542577i | ||||
\(663\) | −1.89305 | − | 7.88510i | −0.0735198 | − | 0.306232i | ||||
\(664\) | −5.96333 | + | 17.7839i | −0.231422 | + | 0.690149i | ||||
\(665\) | −3.39445 | − | 3.39445i | −0.131631 | − | 0.131631i | ||||
\(666\) | −4.08498 | + | 6.24746i | −0.158290 | + | 0.242084i | ||||
\(667\) | 4.09113 | − | 4.79010i | 0.158409 | − | 0.185474i | ||||
\(668\) | −20.9094 | + | 30.0195i | −0.809011 | + | 1.16149i | ||||
\(669\) | −0.564612 | − | 0.921362i | −0.0218291 | − | 0.0356219i | ||||
\(670\) | 1.68111 | + | 13.0853i | 0.0649468 | + | 0.505529i | ||||
\(671\) | −6.93500 | − | 8.11984i | −0.267723 | − | 0.313463i | ||||
\(672\) | −23.3274 | − | 19.5018i | −0.899874 | − | 0.752297i | ||||
\(673\) | 2.07791 | + | 26.4024i | 0.0800977 | + | 1.01774i | 0.897310 | + | 0.441401i | \(0.145518\pi\) |
−0.817212 | + | 0.576337i | \(0.804482\pi\) | |||||||
\(674\) | 9.13672 | + | 11.3553i | 0.351933 | + | 0.437391i | ||||
\(675\) | −10.6595 | − | 6.53218i | −0.410286 | − | 0.251424i | ||||
\(676\) | −23.7130 | + | 28.9116i | −0.912040 | + | 1.11199i | ||||
\(677\) | −26.6632 | − | 4.22303i | −1.02475 | − | 0.162304i | −0.378635 | − | 0.925546i | \(-0.623607\pi\) |
−0.646113 | + | 0.763242i | \(0.723607\pi\) | |||||||
\(678\) | 7.81995 | − | 7.37453i | 0.300324 | − | 0.283217i | ||||
\(679\) | 24.1482 | + | 17.5447i | 0.926722 | + | 0.673303i | ||||
\(680\) | −4.40272 | − | 3.83228i | −0.168837 | − | 0.146961i | ||||
\(681\) | 15.5546 | + | 21.4091i | 0.596054 | + | 0.820398i | ||||
\(682\) | −22.1164 | − | 46.7436i | −0.846882 | − | 1.78990i | ||||
\(683\) | 8.77240 | − | 3.63365i | 0.335666 | − | 0.139038i | −0.208483 | − | 0.978026i | \(-0.566853\pi\) |
0.544149 | + | 0.838988i | \(0.316853\pi\) | |||||||
\(684\) | 0.0225740 | + | 1.13270i | 0.000863138 | + | 0.0433098i | ||||
\(685\) | 4.78200 | − | 60.7611i | 0.182711 | − | 2.32156i | ||||
\(686\) | −14.3265 | − | 20.9855i | −0.546989 | − | 0.801229i | ||||
\(687\) | −3.77000 | + | 11.6029i | −0.143834 | + | 0.442677i | ||||
\(688\) | −4.44725 | + | 15.8041i | −0.169550 | + | 0.602525i | ||||
\(689\) | 18.0151 | + | 35.3565i | 0.686319 | + | 1.34698i | ||||
\(690\) | 0.253242 | − | 8.63869i | 0.00964077 | − | 0.328869i | ||||
\(691\) | −4.80124 | − | 1.15268i | −0.182648 | − | 0.0438499i | 0.141090 | − | 0.989997i | \(-0.454939\pi\) |
−0.323737 | + | 0.946147i | \(0.604939\pi\) | |||||||
\(692\) | −4.51911 | − | 7.05501i | −0.171791 | − | 0.268191i | ||||
\(693\) | −3.85882 | − | 11.8762i | −0.146584 | − | 0.451141i | ||||
\(694\) | −16.9242 | − | 13.0707i | −0.642434 | − | 0.496156i | ||||
\(695\) | 6.15361 | − | 0.974636i | 0.233420 | − | 0.0369700i | ||||
\(696\) | 22.6111 | + | 23.0393i | 0.857070 | + | 0.873301i | ||||
\(697\) | 3.52638 | + | 3.05391i | 0.133571 | + | 0.115675i | ||||
\(698\) | 26.0412 | + | 7.06505i | 0.985673 | + | 0.267416i | ||||
\(699\) | −4.94292 | − | 31.2084i | −0.186958 | − | 1.18041i | ||||
\(700\) | −13.1060 | + | 9.92697i | −0.495359 | + | 0.375204i | ||||
\(701\) | 17.9627 | − | 5.83644i | 0.678442 | − | 0.220439i | 0.0505289 | − | 0.998723i | \(-0.483909\pi\) |
0.627913 | + | 0.778283i | \(0.283909\pi\) | |||||||
\(702\) | −24.3946 | − | 22.1035i | −0.920717 | − | 0.834244i | ||||
\(703\) | −0.845230 | + | 3.52064i | −0.0318784 | + | 0.132783i | ||||
\(704\) | −39.4893 | + | 8.70047i | −1.48831 | + | 0.327911i | ||||
\(705\) | 62.3694 | − | 31.7788i | 2.34897 | − | 1.19686i | ||||
\(706\) | −13.8494 | − | 24.1620i | −0.521229 | − | 0.909350i | ||||
\(707\) | 28.7435 | + | 9.33934i | 1.08101 | + | 0.351242i | ||||
\(708\) | −5.13918 | − | 14.8062i | −0.193142 | − | 0.556450i | ||||
\(709\) | 22.0561 | + | 1.73585i | 0.828335 | + | 0.0651914i | 0.485535 | − | 0.874217i | \(-0.338625\pi\) |
0.342800 | + | 0.939408i | \(0.388625\pi\) | |||||||
\(710\) | 47.3118 | − | 13.8536i | 1.77558 | − | 0.519917i | ||||
\(711\) | −5.64086 | − | 13.6182i | −0.211549 | − | 0.510724i | ||||
\(712\) | 23.1726 | + | 2.04259i | 0.868431 | + | 0.0765494i | ||||
\(713\) | 6.38649 | − | 4.64006i | 0.239176 | − | 0.173771i | ||||
\(714\) | 1.02622 | − | 5.44198i | 0.0384054 | − | 0.203661i | ||||
\(715\) | −47.3798 | + | 65.2127i | −1.77190 | + | 2.43882i | ||||
\(716\) | 11.2452 | + | 21.0235i | 0.420253 | + | 0.785686i | ||||
\(717\) | −3.26320 | + | 20.6030i | −0.121866 | + | 0.769434i | ||||
\(718\) | −3.75291 | + | 8.35875i | −0.140058 | + | 0.311946i | ||||
\(719\) | −18.6415 | + | 30.4201i | −0.695210 | + | 1.13448i | 0.288975 | + | 0.957337i | \(0.406686\pi\) |
−0.984185 | + | 0.177143i | \(0.943314\pi\) | |||||||
\(720\) | 10.2256 | + | 1.20423i | 0.381086 | + | 0.0448789i | ||||
\(721\) | −10.1594 | + | 0.799563i | −0.378356 | + | 0.0297773i | ||||
\(722\) | −9.35556 | − | 24.6017i | −0.348178 | − | 0.915580i | ||||
\(723\) | −30.3763 | + | 25.9438i | −1.12971 | + | 0.964861i | ||||
\(724\) | 1.76804 | − | 12.8101i | 0.0657088 | − | 0.476084i | ||||
\(725\) | 14.8832 | − | 9.12042i | 0.552747 | − | 0.338724i | ||||
\(726\) | −38.3014 | − | 13.6982i | −1.42150 | − | 0.508386i | ||||
\(727\) | −8.78570 | − | 7.50370i | −0.325844 | − | 0.278297i | 0.471444 | − | 0.881896i | \(-0.343733\pi\) |
−0.797288 | + | 0.603599i | \(0.793733\pi\) | |||||||
\(728\) | −38.7560 | + | 19.2914i | −1.43639 | + | 0.714988i | ||||
\(729\) | 10.3359 | − | 10.3359i | 0.382813 | − | 0.382813i | ||||
\(730\) | 3.65242 | + | 17.4514i | 0.135182 | + | 0.645905i | ||||
\(731\) | −2.90766 | + | 0.698067i | −0.107544 | + | 0.0258189i | ||||
\(732\) | 6.02331 | + | 5.78792i | 0.222628 | + | 0.213928i | ||||
\(733\) | 4.65376 | + | 2.37121i | 0.171891 | + | 0.0875827i | 0.537819 | − | 0.843060i | \(-0.319248\pi\) |
−0.365928 | + | 0.930643i | \(0.619248\pi\) | |||||||
\(734\) | 5.89685 | − | 0.290556i | 0.217657 | − | 0.0107246i | ||||
\(735\) | −2.02410 | − | 0.838410i | −0.0746601 | − | 0.0309252i | ||||
\(736\) | −2.42228 | − | 5.67778i | −0.0892864 | − | 0.209286i | ||||
\(737\) | 16.6463i | 0.613175i | ||||||||
\(738\) | −8.17476 | − | 0.941858i | −0.300917 | − | 0.0346703i | ||||
\(739\) | − | 29.2677i | − | 1.07663i | −0.842744 | − | 0.538315i | \(-0.819061\pi\) | ||
0.842744 | − | 0.538315i | \(-0.180939\pi\) | |||||||
\(740\) | 30.6456 | + | 11.9842i | 1.12656 | + | 0.440546i | ||||
\(741\) | 6.41025 | + | 2.65521i | 0.235487 | + | 0.0975417i | ||||
\(742\) | 1.33365 | + | 27.0665i | 0.0489598 | + | 0.993641i | ||||
\(743\) | 38.7076 | + | 19.7225i | 1.42004 | + | 0.723549i | 0.984297 | − | 0.176520i | \(-0.0564842\pi\) |
0.435747 | + | 0.900069i | \(0.356484\pi\) | |||||||
\(744\) | 20.8123 | + | 34.6888i | 0.763016 | + | 1.27175i | ||||
\(745\) | −33.0434 | + | 7.93303i | −1.21062 | + | 0.290644i | ||||
\(746\) | 41.2639 | − | 8.63615i | 1.51078 | − | 0.316192i | ||||
\(747\) | 4.26125 | − | 4.26125i | 0.155911 | − | 0.155911i | ||||
\(748\) | −4.89377 | − | 5.50391i | −0.178934 | − | 0.201243i | ||||
\(749\) | −12.6501 | − | 10.8042i | −0.462226 | − | 0.394778i | ||||
\(750\) | −5.27080 | + | 14.7377i | −0.192462 | + | 0.538144i | ||||
\(751\) | 7.37569 | − | 4.51983i | 0.269143 | − | 0.164931i | −0.381378 | − | 0.924419i | \(-0.624550\pi\) |
0.650521 | + | 0.759488i | \(0.274550\pi\) | |||||||
\(752\) | 30.9300 | − | 39.2816i | 1.12790 | − | 1.43245i | ||||
\(753\) | −26.1514 | + | 22.3354i | −0.953009 | + | 0.813946i | ||||
\(754\) | 42.9610 | − | 16.3373i | 1.56455 | − | 0.594968i | ||||
\(755\) | −21.0565 | + | 1.65719i | −0.766326 | + | 0.0603111i | ||||
\(756\) | −9.01527 | − | 20.5942i | −0.327882 | − | 0.749006i | ||||
\(757\) | 27.2402 | − | 44.4520i | 0.990062 | − | 1.61564i | 0.222220 | − | 0.974997i | \(-0.428670\pi\) |
0.767843 | − | 0.640638i | \(-0.221330\pi\) | |||||||
\(758\) | 10.5525 | + | 4.73785i | 0.383283 | + | 0.172086i | ||||
\(759\) | 1.70587 | − | 10.7705i | 0.0619192 | − | 0.390943i | ||||
\(760\) | 4.86700 | − | 1.12029i | 0.176545 | − | 0.0406371i | ||||
\(761\) | −13.1818 | + | 18.1431i | −0.477839 | + | 0.657688i | −0.978088 | − | 0.208193i | \(-0.933242\pi\) |
0.500249 | + | 0.865881i | \(0.333242\pi\) | |||||||
\(762\) | −23.3579 | − | 4.40472i | −0.846168 | − | 0.159566i | ||||
\(763\) | 12.0045 | − | 8.72180i | 0.434593 | − | 0.315750i | ||||
\(764\) | 6.02419 | − | 1.07760i | 0.217947 | − | 0.0389861i | ||||
\(765\) | 0.717652 | + | 1.73257i | 0.0259468 | + | 0.0626411i | ||||
\(766\) | 10.6331 | + | 36.3132i | 0.384189 | + | 1.31205i | ||||
\(767\) | −22.2464 | − | 1.75083i | −0.803271 | − | 0.0632188i | ||||
\(768\) | 30.0731 | − | 9.81018i | 1.08517 | − | 0.353994i | ||||
\(769\) | −34.1687 | − | 11.1021i | −1.23215 | − | 0.400351i | −0.380660 | − | 0.924715i | \(-0.624303\pi\) |
−0.851494 | + | 0.524364i | \(0.824303\pi\) | |||||||
\(770\) | −47.7591 | + | 27.3750i | −1.72112 | + | 0.986525i | ||||
\(771\) | 9.94049 | − | 5.06493i | 0.357998 | − | 0.182409i | ||||
\(772\) | −5.10636 | + | 16.8511i | −0.183782 | + | 0.606484i | ||||
\(773\) | 4.89576 | − | 20.3923i | 0.176088 | − | 0.733460i | −0.812518 | − | 0.582936i | \(-0.801904\pi\) |
0.988606 | − | 0.150524i | \(-0.0480961\pi\) | |||||||
\(774\) | 3.54175 | − | 3.90886i | 0.127306 | − | 0.140501i | ||||
\(775\) | 20.8037 | − | 6.75954i | 0.747292 | − | 0.242810i | ||||
\(776\) | −28.8001 | + | 11.6141i | −1.03386 | + | 0.416923i | ||||
\(777\) | 4.88381 | + | 30.8351i | 0.175206 | + | 1.10620i | ||||
\(778\) | −6.61001 | + | 24.3639i | −0.236980 | + | 0.873490i | ||||
\(779\) | −3.88747 | + | 0.905126i | −0.139283 | + | 0.0324295i | ||||
\(780\) | 31.8698 | − | 54.4115i | 1.14112 | − | 1.94824i | ||||
\(781\) | 61.4373 | − | 9.73071i | 2.19840 | − | 0.348192i | ||||
\(782\) | 0.687218 | − | 0.889825i | 0.0245749 | − | 0.0318201i | ||||
\(783\) | 7.37560 | + | 22.6997i | 0.263582 | + | 0.811223i | ||||
\(784\) | −1.56360 | + | 0.0623481i | −0.0558429 | + | 0.00222672i | ||||
\(785\) | 52.6278 | + | 12.6348i | 1.87837 | + | 0.450956i | ||||
\(786\) | 7.79923 | + | 0.228634i | 0.278189 | + | 0.00815510i | ||||
\(787\) | −21.7189 | − | 42.6257i | −0.774194 | − | 1.51944i | −0.852626 | − | 0.522522i | \(-0.824991\pi\) |
0.0784319 | − | 0.996919i | \(-0.475009\pi\) | |||||||
\(788\) | 10.0381 | + | 38.4222i | 0.357593 | + | 1.36873i | ||||
\(789\) | −7.23234 | + | 22.2589i | −0.257478 | + | 0.792436i | ||||
\(790\) | −53.6663 | + | 36.6373i | −1.90936 | + | 1.30350i | ||||
\(791\) | 0.820023 | − | 10.4194i | 0.0291567 | − | 0.370471i | ||||
\(792\) | 12.6035 | + | 3.15116i | 0.447847 | + | 0.111972i | ||||
\(793\) | 10.9885 | − | 4.55158i | 0.390213 | − | 0.161631i | ||||
\(794\) | 0.833759 | − | 0.394487i | 0.0295890 | − | 0.0139998i | ||||
\(795\) | −23.2012 | − | 31.9337i | −0.822860 | − | 1.13257i | ||||
\(796\) | 8.64159 | + | 4.18836i | 0.306293 | + | 0.148452i | ||||
\(797\) | 15.1228 | + | 10.9873i | 0.535676 | + | 0.389191i | 0.822477 | − | 0.568799i | \(-0.192592\pi\) |
−0.286801 | + | 0.957990i | \(0.592592\pi\) | |||||||
\(798\) | 3.25092 | + | 3.44727i | 0.115081 | + | 0.122032i | ||||
\(799\) | 8.99414 | + | 1.42453i | 0.318190 | + | 0.0503963i | ||||
\(800\) | −1.52180 | − | 17.0370i | −0.0538038 | − | 0.602349i | ||||
\(801\) | −6.37247 | − | 3.90506i | −0.225160 | − | 0.137978i | ||||
\(802\) | −14.5727 | + | 11.7255i | −0.514580 | + | 0.414042i | ||||
\(803\) | 1.76507 | + | 22.4274i | 0.0622880 | + | 0.791444i | ||||
\(804\) | −1.28017 | − | 12.9591i | −0.0451483 | − | 0.457031i | ||||
\(805\) | −5.45763 | − | 6.39006i | −0.192356 | − | 0.225220i | ||||
\(806\) | 57.1287 | − | 7.33950i | 2.01227 | − | 0.258523i | ||||
\(807\) | −3.66129 | − | 5.97469i | −0.128884 | − | 0.210319i | ||||
\(808\) | −24.0998 | + | 20.1953i | −0.847827 | + | 0.710468i | ||||
\(809\) | 7.20366 | − | 8.43441i | 0.253267 | − | 0.296538i | −0.619177 | − | 0.785251i | \(-0.712534\pi\) |
0.872444 | + | 0.488714i | \(0.162534\pi\) | |||||||
\(810\) | 36.5470 | + | 23.8967i | 1.28413 | + | 0.839644i | ||||
\(811\) | 15.4961 | + | 15.4961i | 0.544143 | + | 0.544143i | 0.924741 | − | 0.380598i | \(-0.124282\pi\) |
−0.380598 | + | 0.924741i | \(0.624282\pi\) | |||||||
\(812\) | 31.3348 | + | 1.83873i | 1.09964 | + | 0.0645269i | ||||
\(813\) | −12.5422 | − | 52.2418i | −0.439873 | − | 1.83220i | ||||
\(814\) | 36.4256 | + | 19.9252i | 1.27672 | + | 0.698379i | ||||
\(815\) | 31.4168 | − | 61.6589i | 1.10048 | − | 2.15982i | ||||
\(816\) | 4.23305 | + | 3.90841i | 0.148186 | + | 0.136822i | ||||
\(817\) | 0.979119 | − | 2.36380i | 0.0342550 | − | 0.0826990i | ||||
\(818\) | 2.03940 | − | 18.8369i | 0.0713061 | − | 0.658617i | ||||
\(819\) | 13.9089 | 0.486016 | ||||||||
\(820\) | 3.31829 | + | 36.1231i | 0.115880 | + | 1.26147i | ||||
\(821\) | −20.7056 | −0.722631 | −0.361316 | − | 0.932444i | \(-0.617672\pi\) | ||||
−0.361316 | + | 0.932444i | \(0.617672\pi\) | |||||||
\(822\) | −6.47551 | + | 59.8109i | −0.225859 | + | 2.08614i | ||||
\(823\) | 2.47391 | − | 5.97256i | 0.0862352 | − | 0.208190i | −0.874879 | − | 0.484342i | \(-0.839059\pi\) |
0.961114 | + | 0.276151i | \(0.0890591\pi\) | |||||||
\(824\) | 4.90170 | − | 9.40107i | 0.170759 | − | 0.327502i | ||||
\(825\) | 13.7180 | − | 26.9231i | 0.477600 | − | 0.937342i | ||||
\(826\) | −13.3699 | − | 7.31348i | −0.465198 | − | 0.254469i | ||||
\(827\) | 2.44994 | + | 10.2048i | 0.0851929 | + | 0.354854i | 0.998642 | − | 0.0520992i | \(-0.0165912\pi\) |
−0.913449 | + | 0.406953i | \(0.866591\pi\) | |||||||
\(828\) | −0.116177 | + | 1.97983i | −0.00403743 | + | 0.0688040i | ||||
\(829\) | 15.3889 | + | 15.3889i | 0.534478 | + | 0.534478i | 0.921902 | − | 0.387424i | \(-0.126635\pi\) |
−0.387424 | + | 0.921902i | \(0.626635\pi\) | |||||||
\(830\) | −22.2347 | − | 14.5384i | −0.771776 | − | 0.504635i | ||||
\(831\) | 10.8697 | − | 12.7268i | 0.377065 | − | 0.441487i | ||||
\(832\) | 4.37540 | − | 44.8265i | 0.151690 | − | 1.55408i | ||||
\(833\) | −0.148919 | − | 0.243014i | −0.00515975 | − | 0.00841995i | ||||
\(834\) | −6.09957 | + | 0.783630i | −0.211211 | + | 0.0271349i | ||||
\(835\) | −33.6505 | − | 39.3997i | −1.16453 | − | 1.36348i | ||||
\(836\) | 6.27109 | − | 0.619496i | 0.216890 | − | 0.0214257i | ||||
\(837\) | 2.34673 | + | 29.8180i | 0.0811149 | + | 1.03066i | ||||
\(838\) | 15.3929 | − | 12.3854i | 0.531739 | − | 0.427848i | ||||
\(839\) | 9.05214 | + | 5.54716i | 0.312514 | + | 0.191509i | 0.669907 | − | 0.742445i | \(-0.266334\pi\) |
−0.357392 | + | 0.933954i | \(0.616334\pi\) | |||||||
\(840\) | 35.0749 | − | 24.9842i | 1.21020 | − | 0.862035i | ||||
\(841\) | −4.27185 | − | 0.676594i | −0.147305 | − | 0.0233308i | ||||
\(842\) | −10.1238 | − | 10.7353i | −0.348890 | − | 0.369963i | ||||
\(843\) | −18.2571 | − | 13.2646i | −0.628809 | − | 0.456857i | ||||
\(844\) | −4.02779 | + | 8.31030i | −0.138642 | + | 0.286052i | ||||
\(845\) | −31.1286 | − | 42.8449i | −1.07086 | − | 1.47391i | ||||
\(846\) | −14.5199 | + | 6.87001i | −0.499206 | + | 0.236196i | ||||
\(847\) | −36.5420 | + | 15.1362i | −1.25560 | + | 0.520085i | ||||
\(848\) | −24.6065 | − | 13.7615i | −0.844992 | − | 0.472571i | ||||
\(849\) | −0.834292 | + | 10.6007i | −0.0286328 | + | 0.363814i | ||||
\(850\) | 2.57299 | − | 1.75655i | 0.0882527 | − | 0.0602490i | ||||
\(851\) | −1.95860 | + | 6.02796i | −0.0671401 | + | 0.206636i | ||||
\(852\) | −47.0803 | + | 12.3001i | −1.61294 | + | 0.421395i | ||||
\(853\) | 8.84839 | + | 17.3659i | 0.302963 | + | 0.594599i | 0.991425 | − | 0.130673i | \(-0.0417139\pi\) |
−0.688462 | + | 0.725272i | \(0.741714\pi\) | |||||||
\(854\) | 8.11905 | + | 0.238009i | 0.277828 | + | 0.00814451i | ||||
\(855\) | −1.56024 | − | 0.374579i | −0.0533589 | − | 0.0128103i | ||||
\(856\) | 16.5099 | − | 5.19371i | 0.564298 | − | 0.177517i | ||||
\(857\) | 6.41597 | + | 19.7463i | 0.219165 | + | 0.674522i | 0.998832 | + | 0.0483265i | \(0.0153888\pi\) |
−0.779666 | + | 0.626195i | \(0.784611\pi\) | |||||||
\(858\) | 48.6329 | − | 62.9709i | 1.66030 | − | 2.14979i | ||||
\(859\) | 19.1389 | − | 3.03130i | 0.653009 | − | 0.103426i | 0.178865 | − | 0.983874i | \(-0.442758\pi\) |
0.474144 | + | 0.880447i | \(0.342758\pi\) | |||||||
\(860\) | −20.0644 | − | 11.7521i | −0.684191 | − | 0.400743i | ||||
\(861\) | −27.9817 | + | 20.0380i | −0.953615 | + | 0.682892i | ||||
\(862\) | 4.71117 | − | 17.3650i | 0.160463 | − | 0.591453i | ||||
\(863\) | −5.66701 | − | 35.7801i | −0.192907 | − | 1.21797i | −0.874057 | − | 0.485824i | \(-0.838520\pi\) |
0.681150 | − | 0.732144i | \(-0.261480\pi\) | |||||||
\(864\) | 23.1379 | + | 3.41494i | 0.787169 | + | 0.116179i | ||||
\(865\) | 11.2855 | − | 3.66687i | 0.383717 | − | 0.124677i | ||||
\(866\) | −24.0690 | + | 26.5638i | −0.817897 | + | 0.902675i | ||||
\(867\) | 7.60109 | − | 31.6608i | 0.258147 | − | 1.07526i | ||||
\(868\) | 37.6445 | + | 11.4074i | 1.27774 | + | 0.387191i | ||||
\(869\) | −73.0530 | + | 37.2224i | −2.47815 | + | 1.26268i | ||||
\(870\) | −39.6660 | + | 22.7361i | −1.34480 | + | 0.770826i | ||||
\(871\) | −17.6338 | − | 5.72955i | −0.597497 | − | 0.194139i | ||||
\(872\) | 1.06680 | + | 15.4005i | 0.0361265 | + | 0.521527i | ||||
\(873\) | 9.94625 | + | 0.782787i | 0.336630 | + | 0.0264933i | ||||
\(874\) | 0.270333 | + | 0.923218i | 0.00914414 | + | 0.0312283i | ||||
\(875\) | 5.82413 | + | 14.0607i | 0.196891 | + | 0.475338i | ||||
\(876\) | −3.09886 | − | 17.3238i | −0.104701 | − | 0.585318i | ||||
\(877\) | 24.2703 | − | 17.6334i | 0.819551 | − | 0.595439i | −0.0970325 | − | 0.995281i | \(-0.530935\pi\) |
0.916584 | + | 0.399842i | \(0.130935\pi\) | |||||||
\(878\) | −11.3376 | − | 2.13799i | −0.382627 | − | 0.0721538i | ||||
\(879\) | 6.43531 | − | 8.85745i | 0.217058 | − | 0.298754i | ||||
\(880\) | 2.21503 | − | 57.2277i | 0.0746687 | − | 1.92914i | ||||
\(881\) | −0.466405 | + | 2.94477i | −0.0157136 | + | 0.0992117i | −0.994299 | − | 0.106631i | \(-0.965994\pi\) |
0.978585 | + | 0.205843i | \(0.0659936\pi\) | |||||||
\(882\) | 0.458649 | + | 0.205924i | 0.0154435 | + | 0.00693384i | ||||
\(883\) | −12.3771 | + | 20.1977i | −0.416524 | + | 0.679705i | −0.990244 | − | 0.139346i | \(-0.955500\pi\) |
0.573720 | + | 0.819052i | \(0.305500\pi\) | |||||||
\(884\) | 7.51480 | − | 3.28965i | 0.252750 | − | 0.110643i | ||||
\(885\) | 22.1290 | − | 1.74159i | 0.743858 | − | 0.0585429i | ||||
\(886\) | 54.4787 | − | 20.7172i | 1.83025 | − | 0.696008i | ||||
\(887\) | 14.0083 | − | 11.9642i | 0.470354 | − | 0.401720i | −0.382430 | − | 0.923985i | \(-0.624913\pi\) |
0.852784 | + | 0.522265i | \(0.174913\pi\) | |||||||
\(888\) | −29.8895 | − | 12.7104i | −1.00303 | − | 0.426533i | ||||
\(889\) | −19.7067 | + | 12.0763i | −0.660940 | + | 0.405025i | ||||
\(890\) | −11.0949 | + | 31.0226i | −0.371903 | + | 1.03988i | ||||
\(891\) | 41.8958 | + | 35.7824i | 1.40356 | + | 1.19876i | ||||
\(892\) | 0.816922 | − | 0.726362i | 0.0273526 | − | 0.0243204i | ||||
\(893\) | −5.50946 | + | 5.50946i | −0.184367 | + | 0.184367i | ||||
\(894\) | 32.8313 | − | 6.87130i | 1.09804 | − | 0.229811i | ||||
\(895\) | −32.8347 | + | 7.88292i | −1.09754 | + | 0.263497i | ||||
\(896\) | 15.2646 | − | 26.7033i | 0.509956 | − | 0.892094i | ||||
\(897\) | 10.8222 | + | 5.51418i | 0.361343 | + | 0.184113i | ||||
\(898\) | −0.152327 | − | 3.09149i | −0.00508323 | − | 0.103164i | ||||
\(899\) | −38.5826 | − | 15.9815i | −1.28680 | − | 0.533011i | ||||
\(900\) | −2.00145 | + | 5.11805i | −0.0667148 | + | 0.170602i | ||||
\(901\) | − | 5.13500i | − | 0.171071i | ||||||
\(902\) | −1.65516 | + | 45.7410i | −0.0551109 | + | 1.52301i | ||||
\(903\) | − | 22.0614i | − | 0.734156i | ||||||
\(904\) | 8.73652 | + | 6.47352i | 0.290572 | + | 0.215306i | ||||
\(905\) | 16.9209 | + | 7.00887i | 0.562470 | + | 0.232983i | ||||
\(906\) | 20.8231 | − | 1.02602i | 0.691801 | − | 0.0340872i | ||||
\(907\) | 36.7094 | + | 18.7044i | 1.21891 | + | 0.621068i | 0.940631 | − | 0.339431i | \(-0.110234\pi\) |
0.278284 | + | 0.960499i | \(0.410234\pi\) | |||||||
\(908\) | −18.5485 | + | 19.3029i | −0.615554 | + | 0.640588i | ||||
\(909\) | 9.82288 | − | 2.35827i | 0.325804 | − | 0.0782187i | ||||
\(910\) | −12.5605 | − | 60.0144i | −0.416375 | − | 1.98946i | ||||
\(911\) | 0.623160 | − | 0.623160i | 0.0206462 | − | 0.0206462i | −0.696708 | − | 0.717355i | \(-0.745353\pi\) |
0.717355 | + | 0.696708i | \(0.245353\pi\) | |||||||
\(912\) | −4.83437 | + | 0.964549i | −0.160082 | + | 0.0319394i | ||||
\(913\) | −25.4888 | − | 21.7695i | −0.843556 | − | 0.720464i | ||||
\(914\) | 19.1070 | + | 6.83346i | 0.632004 | + | 0.226031i | ||||
\(915\) | −10.0877 | + | 6.18173i | −0.333488 | + | 0.204362i | ||||
\(916\) | −12.2257 | − | 1.68738i | −0.403949 | − | 0.0557527i | ||||
\(917\) | 5.76912 | − | 4.92729i | 0.190513 | − | 0.162713i | ||||
\(918\) | 1.51417 | + | 3.98171i | 0.0499750 | + | 0.131416i | ||||
\(919\) | −3.04641 | + | 0.239758i | −0.100492 | + | 0.00790888i | −0.128605 | − | 0.991696i | \(-0.541050\pi\) |
0.0281135 | + | 0.999605i | \(0.491050\pi\) | |||||||
\(920\) | 8.64754 | − | 1.28661i | 0.285101 | − | 0.0424183i | ||||
\(921\) | −13.1623 | + | 21.4790i | −0.433714 | + | 0.707756i | ||||
\(922\) | 20.8262 | − | 46.3856i | 0.685875 | − | 1.52763i | ||||
\(923\) | −10.8384 | + | 68.4309i | −0.356750 | + | 2.25243i | ||||
\(924\) | 47.9127 | − | 25.6278i | 1.57621 | − | 0.843094i | ||||
\(925\) | −10.3232 | + | 14.2086i | −0.339424 | + | 0.467177i | ||||
\(926\) | 2.10797 | − | 11.1784i | 0.0692723 | − | 0.367346i | ||||
\(927\) | −2.75575 | + | 2.00217i | −0.0905108 | + | 0.0657600i | ||||
\(928\) | −18.9149 | + | 26.6201i | −0.620912 | + | 0.873847i | ||||
\(929\) | 15.7525 | + | 38.0299i | 0.516822 | + | 1.24772i | 0.939845 | + | 0.341601i | \(0.110969\pi\) |
−0.423023 | + | 0.906119i | \(0.639031\pi\) | |||||||
\(930\) | −54.9855 | + | 16.1006i | −1.80305 | + | 0.527961i | ||||
\(931\) | 0.243114 | + | 0.0191335i | 0.00796773 | + | 0.000627074i | ||||
\(932\) | 30.1969 | − | 10.4812i | 0.989132 | − | 0.343325i | ||||
\(933\) | −26.4637 | − | 8.59857i | −0.866382 | − | 0.281505i | ||||
\(934\) | −18.1941 | − | 31.7419i | −0.595330 | − | 1.03863i | ||||
\(935\) | 9.29409 | − | 4.73558i | 0.303949 | − | 0.154870i | ||||
\(936\) | −7.67615 | + | 12.2666i | −0.250903 | + | 0.400945i | ||||
\(937\) | 11.4057 | − | 47.5082i | 0.372608 | − | 1.55203i | −0.399620 | − | 0.916681i | \(-0.630858\pi\) |
0.772229 | − | 0.635345i | \(-0.219142\pi\) | |||||||
\(938\) | −9.38328 | − | 8.50202i | −0.306375 | − | 0.277601i | ||||
\(939\) | 60.0224 | − | 19.5025i | 1.95876 | − | 0.636439i | ||||
\(940\) | 42.7551 | + | 56.4469i | 1.39452 | + | 1.84110i | ||||
\(941\) | 2.87736 | + | 18.1670i | 0.0937994 | + | 0.592226i | 0.989155 | + | 0.146874i | \(0.0469213\pi\) |
−0.895356 | + | 0.445352i | \(0.853079\pi\) | |||||||
\(942\) | −51.5591 | − | 13.9881i | −1.67989 | − | 0.455758i | ||||
\(943\) | −6.90855 | + | 1.04565i | −0.224973 | + | 0.0340512i | ||||
\(944\) | 13.8286 | − | 7.75499i | 0.450083 | − | 0.252404i | ||||
\(945\) | 31.4481 | − | 4.98090i | 1.02301 | − | 0.162029i | ||||
\(946\) | −23.2208 | − | 17.9335i | −0.754972 | − | 0.583070i | ||||
\(947\) | 3.53461 | + | 10.8784i | 0.114859 | + | 0.353501i | 0.991918 | − | 0.126883i | \(-0.0404974\pi\) |
−0.877058 | + | 0.480384i | \(0.840497\pi\) | |||||||
\(948\) | 54.0088 | − | 34.5955i | 1.75412 | − | 1.12361i | ||||
\(949\) | −24.3653 | − | 5.84958i | −0.790930 | − | 0.189885i | ||||
\(950\) | −0.0781088 | + | 2.66447i | −0.00253418 | + | 0.0864469i | ||||
\(951\) | 17.0862 | + | 33.5336i | 0.554058 | + | 1.08740i | ||||
\(952\) | 5.60194 | + | 0.0525463i | 0.181560 | + | 0.00170304i | ||||
\(953\) | −3.25321 | + | 10.0123i | −0.105382 | + | 0.324332i | −0.989820 | − | 0.142326i | \(-0.954542\pi\) |
0.884438 | + | 0.466658i | \(0.154542\pi\) | |||||||
\(954\) | 5.10714 | + | 7.48093i | 0.165350 | + | 0.242204i | ||||
\(955\) | −0.680047 | + | 8.64082i | −0.0220058 | + | 0.279610i | ||||
\(956\) | −21.0978 | + | 0.420467i | −0.682352 | + | 0.0135989i | ||||
\(957\) | −53.2968 | + | 22.0763i | −1.72284 | + | 0.713625i | ||||
\(958\) | 1.86020 | + | 3.93158i | 0.0601004 | + | 0.127024i | ||||
\(959\) | 34.3839 | + | 47.3253i | 1.11031 | + | 1.52821i | ||||
\(960\) | 2.67667 | + | 44.7218i | 0.0863892 | + | 1.44339i | ||||
\(961\) | −17.2594 | − | 12.5397i | −0.556754 | − | 0.404505i | ||||
\(962\) | −33.6446 | + | 31.7282i | −1.08475 | + | 1.02296i | ||||
\(963\) | −5.49216 | − | 0.869872i | −0.176982 | − | 0.0280312i | ||||
\(964\) | −31.2458 | − | 25.6275i | −1.00636 | − | 0.825406i | ||||
\(965\) | −21.2632 | − | 13.0301i | −0.684487 | − | 0.419454i | ||||
\(966\) | 5.19988 | + | 6.46253i | 0.167303 | + | 0.207928i | ||||
\(967\) | 2.25579 | + | 28.6626i | 0.0725414 | + | 0.921726i | 0.920267 | + | 0.391291i | \(0.127971\pi\) |
−0.847726 | + | 0.530435i | \(0.822029\pi\) | |||||||
\(968\) | 6.81812 | − | 40.5807i | 0.219143 | − | 1.30431i | ||||
\(969\) | −0.583117 | − | 0.682742i | −0.0187324 | − | 0.0219328i | ||||
\(970\) | −5.60440 | − | 43.6232i | −0.179946 | − | 1.40066i | ||||
\(971\) | −7.73945 | − | 12.6296i | −0.248371 | − | 0.405304i | 0.704022 | − | 0.710178i | \(-0.251386\pi\) |
−0.952393 | + | 0.304874i | \(0.901386\pi\) | |||||||
\(972\) | −15.0114 | − | 10.4558i | −0.481490 | − | 0.335371i | ||||
\(973\) | −3.88351 | + | 4.54700i | −0.124499 | + | 0.145770i | ||||
\(974\) | −9.01717 | + | 13.7906i | −0.288929 | + | 0.441880i | ||||
\(975\) | 23.7985 | + | 23.7985i | 0.762162 | + | 0.762162i | ||||
\(976\) | −4.69071 | + | 7.02902i | −0.150146 | + | 0.224993i | ||||
\(977\) | −2.35266 | − | 9.79953i | −0.0752682 | − | 0.313515i | 0.922017 | − | 0.387149i | \(-0.126540\pi\) |
−0.997285 | + | 0.0736345i | \(0.976540\pi\) | |||||||
\(978\) | −32.7803 | + | 59.9263i | −1.04820 | + | 1.91623i | ||||
\(979\) | −18.8730 | + | 37.0403i | −0.603183 | + | 1.18381i | ||||
\(980\) | 0.474343 | − | 2.16495i | 0.0151523 | − | 0.0691568i | ||||
\(981\) | 1.89802 | − | 4.58223i | 0.0605991 | − | 0.146299i | ||||
\(982\) | 28.2020 | + | 3.05333i | 0.899963 | + | 0.0974357i | ||||
\(983\) | −43.4797 | −1.38679 | −0.693394 | − | 0.720559i | \(-0.743885\pi\) | ||||
−0.693394 | + | 0.720559i | \(0.743885\pi\) | |||||||
\(984\) | −2.22915 | − | 35.7364i | −0.0710627 | − | 1.13924i | ||||
\(985\) | −56.2443 | −1.79209 | ||||||||
\(986\) | −5.91323 | − | 0.640204i | −0.188316 | − | 0.0203883i | ||||
\(987\) | −25.7099 | + | 62.0691i | −0.818354 | + | 1.97568i | ||||
\(988\) | −1.50223 | + | 6.85631i | −0.0477921 | + | 0.218128i | ||||
\(989\) | 2.03338 | − | 3.99072i | 0.0646576 | − | 0.126898i | ||||
\(990\) | −8.83023 | + | 16.1427i | −0.280643 | + | 0.513049i | ||||
\(991\) | 6.96145 | + | 28.9965i | 0.221138 | + | 0.921105i | 0.966953 | + | 0.254953i | \(0.0820600\pi\) |
−0.745816 | + | 0.666152i | \(0.767940\pi\) | |||||||
\(992\) | −30.8359 | + | 26.9040i | −0.979042 | + | 0.854202i | ||||
\(993\) | −15.7296 | − | 15.7296i | −0.499165 | − | 0.499165i | ||||
\(994\) | −25.8937 | + | 39.6012i | −0.821299 | + | 1.25607i | ||||
\(995\) | −8.83312 | + | 10.3423i | −0.280029 | + | 0.327872i | ||||
\(996\) | 21.5171 | + | 14.9872i | 0.681794 | + | 0.474888i | ||||
\(997\) | 1.80751 | + | 2.94958i | 0.0572443 | + | 0.0934142i | 0.879982 | − | 0.475007i | \(-0.157554\pi\) |
−0.822738 | + | 0.568421i | \(0.807554\pi\) | |||||||
\(998\) | −8.00081 | − | 62.2762i | −0.253261 | − | 1.97132i | ||||
\(999\) | −15.5964 | − | 18.2610i | −0.493448 | − | 0.577753i |
(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 | 164.2.o.b.11.18 | yes | 288 | |
4.3 | odd | 2 | inner | 164.2.o.b.11.17 | ✓ | 288 | |
41.15 | odd | 40 | inner | 164.2.o.b.15.17 | yes | 288 | |
164.15 | even | 40 | inner | 164.2.o.b.15.18 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
164.2.o.b.11.17 | ✓ | 288 | 4.3 | odd | 2 | inner | |
164.2.o.b.11.18 | yes | 288 | 1.1 | even | 1 | trivial | |
164.2.o.b.15.17 | yes | 288 | 41.15 | odd | 40 | inner | |
164.2.o.b.15.18 | yes | 288 | 164.15 | even | 40 | inner |