Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [666,2,Mod(17,666)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(666, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("666.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 666 = 2 \cdot 3^{2} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 666.bs (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: | \(5.31803677462\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 89.2 | ||
Character | \(\chi\) | \(=\) | 666.89 |
Dual form | 666.2.bs.b.449.2 |
$q$-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 \(\left(\mathbb{Z}/666\mathbb{Z}\right)^\times\).
\(n\) | \(371\) | \(631\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{36}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.906308 | + | 0.422618i | −0.640856 | + | 0.298836i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.642788 | − | 0.766044i | 0.321394 | − | 0.383022i | ||||
\(5\) | −1.52173 | + | 1.06553i | −0.680538 | + | 0.476518i | −0.862019 | − | 0.506876i | \(-0.830800\pi\) |
0.181480 | + | 0.983395i | \(0.441911\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.800320 | − | 4.53884i | 0.302492 | − | 1.71552i | −0.332587 | − | 0.943073i | \(-0.607921\pi\) |
0.635079 | − | 0.772447i | \(-0.280968\pi\) | |||||||
\(8\) | −0.258819 | + | 0.965926i | −0.0915064 | + | 0.341506i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.928845 | − | 1.60881i | 0.293727 | − | 0.508749i | ||||
\(11\) | 0.382482 | + | 0.662479i | 0.115323 | + | 0.199745i | 0.917909 | − | 0.396792i | \(-0.129876\pi\) |
−0.802586 | + | 0.596537i | \(0.796543\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.11437 | + | 0.447449i | −1.41847 | + | 0.124100i | −0.770439 | − | 0.637513i | \(-0.779963\pi\) |
−0.648032 | + | 0.761613i | \(0.724408\pi\) | |||||||
\(14\) | 1.19286 | + | 4.45181i | 0.318805 | + | 1.18980i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.173648 | − | 0.984808i | −0.0434120 | − | 0.246202i | ||||
\(17\) | 1.69790 | + | 0.148547i | 0.411802 | + | 0.0360280i | 0.291175 | − | 0.956670i | \(-0.405954\pi\) |
0.120627 | + | 0.992698i | \(0.461509\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.29378 | + | 4.91902i | −0.526229 | + | 1.12850i | 0.446121 | + | 0.894973i | \(0.352805\pi\) |
−0.972350 | + | 0.233529i | \(0.924973\pi\) | |||||||
\(20\) | −0.161908 | + | 1.85062i | −0.0362038 | + | 0.413811i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.626623 | − | 0.438766i | −0.133596 | − | 0.0935452i | ||||
\(23\) | −3.89704 | + | 1.04421i | −0.812589 | + | 0.217732i | −0.641104 | − | 0.767454i | \(-0.721523\pi\) |
−0.171485 | + | 0.985187i | \(0.554856\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.529786 | + | 1.45557i | −0.105957 | + | 0.291115i | ||||
\(26\) | 4.44609 | − | 2.56695i | 0.871950 | − | 0.503421i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.96252 | − | 3.53059i | −0.559863 | − | 0.667219i | ||||
\(29\) | −9.12762 | − | 2.44574i | −1.69496 | − | 0.454162i | −0.723295 | − | 0.690539i | \(-0.757373\pi\) |
−0.971661 | + | 0.236377i | \(0.924040\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.11289 | + | 1.11289i | 0.199881 | + | 0.199881i | 0.799949 | − | 0.600068i | \(-0.204860\pi\) |
−0.600068 | + | 0.799949i | \(0.704860\pi\) | |||||||
\(32\) | 0.573576 | + | 0.819152i | 0.101395 | + | 0.144807i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.60160 | + | 0.582935i | −0.274672 | + | 0.0999725i | ||||
\(35\) | 3.61838 | + | 7.75965i | 0.611619 | + | 1.31162i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.35851 | − | 5.92912i | −0.223338 | − | 0.974741i | ||||
\(38\) | − | 5.42754i | − | 0.880463i | ||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.635367 | − | 1.74566i | −0.100460 | − | 0.276013i | ||||
\(41\) | −1.15055 | − | 0.965428i | −0.179686 | − | 0.150775i | 0.548508 | − | 0.836145i | \(-0.315196\pi\) |
−0.728195 | + | 0.685370i | \(0.759640\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.40814 | − | 5.40814i | 0.824733 | − | 0.824733i | −0.162049 | − | 0.986783i | \(-0.551810\pi\) |
0.986783 | + | 0.162049i | \(0.0518103\pi\) | |||||||
\(44\) | 0.753343 | + | 0.132835i | 0.113571 | + | 0.0200256i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.09061 | − | 2.59333i | 0.455686 | − | 0.382366i | ||||
\(47\) | −4.91397 | − | 2.83708i | −0.716777 | − | 0.413831i | 0.0967885 | − | 0.995305i | \(-0.469143\pi\) |
−0.813565 | + | 0.581474i | \(0.802476\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −13.3827 | − | 4.87090i | −1.91181 | − | 0.695843i | ||||
\(50\) | −0.135003 | − | 1.54310i | −0.0190924 | − | 0.218227i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.94469 | + | 4.20545i | −0.408355 | + | 0.583191i | ||||
\(53\) | −8.79657 | + | 1.55107i | −1.20830 | + | 0.213056i | −0.741284 | − | 0.671192i | \(-0.765783\pi\) |
−0.467018 | + | 0.884248i | \(0.654672\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.28792 | − | 0.600569i | −0.173664 | − | 0.0809807i | ||||
\(56\) | 4.17704 | + | 1.94779i | 0.558181 | + | 0.260284i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 9.30605 | − | 1.64091i | 1.22194 | − | 0.215462i | ||||
\(59\) | −4.19571 | + | 5.99209i | −0.546234 | + | 0.780104i | −0.993443 | − | 0.114326i | \(-0.963529\pi\) |
0.447209 | + | 0.894430i | \(0.352418\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.804553 | + | 9.19608i | 0.103012 | + | 1.17744i | 0.855132 | + | 0.518411i | \(0.173476\pi\) |
−0.752119 | + | 0.659027i | \(0.770968\pi\) | |||||||
\(62\) | −1.47895 | − | 0.538293i | −0.187826 | − | 0.0683632i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.866025 | − | 0.500000i | −0.108253 | − | 0.0625000i | ||||
\(65\) | 7.30592 | − | 6.13040i | 0.906188 | − | 0.760382i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.71231 | + | 1.18356i | 0.820040 | + | 0.144595i | 0.567902 | − | 0.823096i | \(-0.307755\pi\) |
0.252138 | + | 0.967691i | \(0.418866\pi\) | |||||||
\(68\) | 1.20518 | − | 1.20518i | 0.146150 | − | 0.146150i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −6.55874 | − | 5.50344i | −0.783919 | − | 0.657786i | ||||
\(71\) | −2.79944 | − | 7.69139i | −0.332232 | − | 0.912800i | −0.987530 | − | 0.157430i | \(-0.949679\pi\) |
0.655298 | − | 0.755370i | \(-0.272543\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.36965i | 0.277347i | 0.990338 | + | 0.138673i | \(0.0442838\pi\) | ||||
−0.990338 | + | 0.138673i | \(0.955716\pi\) | |||||||
\(74\) | 3.73698 | + | 4.79947i | 0.434416 | + | 0.557928i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.29378 | + | 4.91902i | 0.263114 | + | 0.564251i | ||||
\(77\) | 3.31299 | − | 1.20583i | 0.377551 | − | 0.137417i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.40635 | − | 4.86478i | −0.383245 | − | 0.547330i | 0.580464 | − | 0.814286i | \(-0.302871\pi\) |
−0.963709 | + | 0.266956i | \(0.913982\pi\) | |||||||
\(80\) | 1.31358 | + | 1.31358i | 0.146863 | + | 0.146863i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.45076 | + | 0.388731i | 0.160210 | + | 0.0429281i | ||||
\(83\) | −6.85600 | − | 8.17067i | −0.752544 | − | 0.896847i | 0.244808 | − | 0.969572i | \(-0.421275\pi\) |
−0.997352 | + | 0.0727245i | \(0.976831\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.74203 | + | 1.58311i | −0.297415 | + | 0.171713i | ||||
\(86\) | −2.61586 | + | 7.18702i | −0.282075 | + | 0.774996i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.738899 | + | 0.197987i | −0.0787669 | + | 0.0211055i | ||||
\(89\) | 6.10056 | + | 4.27166i | 0.646658 | + | 0.452795i | 0.850334 | − | 0.526243i | \(-0.176400\pi\) |
−0.203676 | + | 0.979038i | \(0.565289\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.06223 | + | 23.5714i | −0.216180 | + | 2.47095i | ||||
\(92\) | −1.70506 | + | 3.65651i | −0.177765 | + | 0.381217i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 5.65258 | + | 0.494536i | 0.583019 | + | 0.0510075i | ||||
\(95\) | −1.75084 | − | 9.92951i | −0.179632 | − | 1.01875i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.70181 | − | 13.8154i | −0.375862 | − | 1.40274i | −0.852081 | − | 0.523410i | \(-0.824660\pi\) |
0.476219 | − | 0.879327i | \(-0.342007\pi\) | |||||||
\(98\) | 14.1874 | − | 1.24123i | 1.43314 | − | 0.125384i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.774495 | + | 1.34146i | 0.0774495 | + | 0.134146i | ||||
\(101\) | 3.19546 | − | 5.53469i | 0.317960 | − | 0.550722i | −0.662102 | − | 0.749413i | \(-0.730336\pi\) |
0.980062 | + | 0.198691i | \(0.0636690\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.61420 | + | 9.75634i | −0.257585 | + | 0.961321i | 0.709049 | + | 0.705159i | \(0.249125\pi\) |
−0.966634 | + | 0.256161i | \(0.917542\pi\) | |||||||
\(104\) | 0.891493 | − | 5.05591i | 0.0874181 | − | 0.495773i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.31689 | − | 5.12334i | 0.710679 | − | 0.497623i | ||||
\(107\) | −13.2614 | + | 15.8043i | −1.28203 | + | 1.52786i | −0.584143 | + | 0.811651i | \(0.698569\pi\) |
−0.697885 | + | 0.716210i | \(0.745875\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −10.6648 | + | 4.97310i | −1.02151 | + | 0.476336i | −0.859870 | − | 0.510514i | \(-0.829455\pi\) |
−0.161637 | + | 0.986850i | \(0.551677\pi\) | |||||||
\(110\) | 1.42107 | 0.135493 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −4.60886 | −0.435496 | ||||||||
\(113\) | 16.8033 | − | 7.83553i | 1.58073 | − | 0.737104i | 0.583541 | − | 0.812084i | \(-0.301667\pi\) |
0.997185 | + | 0.0749795i | \(0.0238891\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.81761 | − | 5.74140i | 0.449244 | − | 0.535389i | ||||
\(116\) | −7.74067 | + | 5.42007i | −0.718703 | + | 0.503241i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.27023 | − | 7.20386i | 0.116935 | − | 0.663169i | ||||
\(119\) | 2.03310 | − | 7.58762i | 0.186374 | − | 0.695556i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.20741 | − | 9.01951i | 0.473401 | − | 0.819955i | ||||
\(122\) | −4.61560 | − | 7.99446i | −0.417877 | − | 0.723784i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.56787 | − | 0.137171i | 0.140799 | − | 0.0123183i | ||||
\(125\) | −3.14879 | − | 11.7514i | −0.281636 | − | 1.05108i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.597958 | + | 3.39119i | 0.0530602 | + | 0.300919i | 0.999776 | − | 0.0211499i | \(-0.00673272\pi\) |
−0.946716 | + | 0.322069i | \(0.895622\pi\) | |||||||
\(128\) | 0.996195 | + | 0.0871557i | 0.0880520 | + | 0.00770355i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −4.03060 | + | 8.64364i | −0.353507 | + | 0.758097i | ||||
\(131\) | −0.0480530 | + | 0.549249i | −0.00419841 | + | 0.0479881i | −0.998005 | − | 0.0631364i | \(-0.979890\pi\) |
0.993806 | + | 0.111124i | \(0.0354452\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 20.4909 | + | 14.3479i | 1.77679 | + | 1.24412i | ||||
\(134\) | −6.58362 | + | 1.76407i | −0.568738 | + | 0.152393i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.582935 | + | 1.60160i | −0.0499863 | + | 0.137336i | ||||
\(137\) | 10.9115 | − | 6.29975i | 0.932231 | − | 0.538224i | 0.0447146 | − | 0.999000i | \(-0.485762\pi\) |
0.887517 | + | 0.460776i | \(0.152429\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.32113 | + | 6.34148i | 0.451332 | + | 0.537877i | 0.942950 | − | 0.332934i | \(-0.108039\pi\) |
−0.491618 | + | 0.870811i | \(0.663594\pi\) | |||||||
\(140\) | 8.27009 | + | 2.21596i | 0.698950 | + | 0.187283i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 5.78768 | + | 5.78768i | 0.485691 | + | 0.485691i | ||||
\(143\) | −2.25258 | − | 3.21702i | −0.188370 | − | 0.269021i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 16.4958 | − | 6.00397i | 1.36990 | − | 0.498603i | ||||
\(146\) | −1.00146 | − | 2.14763i | −0.0828813 | − | 0.177739i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −5.41520 | − | 2.77048i | −0.445127 | − | 0.227732i | ||||
\(149\) | 7.29821i | 0.597892i | 0.954270 | + | 0.298946i | \(0.0966351\pi\) | ||||
−0.954270 | + | 0.298946i | \(0.903365\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.78811 | + | 10.4078i | 0.308272 | + | 0.846971i | 0.992994 | + | 0.118166i | \(0.0377016\pi\) |
−0.684721 | + | 0.728805i | \(0.740076\pi\) | |||||||
\(152\) | −4.15774 | − | 3.48876i | −0.337237 | − | 0.282975i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.49299 | + | 2.49299i | −0.200891 | + | 0.200891i | ||||
\(155\) | −2.87933 | − | 0.507703i | −0.231273 | − | 0.0407797i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 8.86534 | − | 7.43891i | 0.707531 | − | 0.593689i | −0.216374 | − | 0.976311i | \(-0.569423\pi\) |
0.923905 | + | 0.382621i | \(0.124979\pi\) | |||||||
\(158\) | 5.14315 | + | 2.96940i | 0.409167 | + | 0.236233i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.74566 | − | 0.635367i | −0.138006 | − | 0.0502302i | ||||
\(161\) | 1.62062 | + | 18.5237i | 0.127722 | + | 1.45987i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −11.4113 | + | 16.2971i | −0.893806 | + | 1.27649i | 0.0665709 | + | 0.997782i | \(0.478794\pi\) |
−0.960377 | + | 0.278705i | \(0.910095\pi\) | |||||||
\(164\) | −1.47912 | + | 0.260809i | −0.115500 | + | 0.0203658i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 9.66672 | + | 4.50767i | 0.750283 | + | 0.349863i | ||||
\(167\) | 15.4398 | + | 7.19968i | 1.19477 | + | 0.557128i | 0.915201 | − | 0.402999i | \(-0.132032\pi\) |
0.279565 | + | 0.960127i | \(0.409810\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 13.1541 | − | 2.31942i | 1.01185 | − | 0.178417i | ||||
\(170\) | 1.81607 | − | 2.59362i | 0.139286 | − | 0.198921i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.666590 | − | 7.61916i | −0.0508270 | − | 0.580955i | ||||
\(173\) | 19.4091 | + | 7.06432i | 1.47564 | + | 0.537090i | 0.949627 | − | 0.313384i | \(-0.101463\pi\) |
0.526017 | + | 0.850474i | \(0.323685\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 6.18262 | + | 3.56954i | 0.467362 | + | 0.269832i | ||||
\(176\) | 0.585997 | − | 0.491710i | 0.0441712 | − | 0.0370640i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −7.33427 | − | 1.29323i | −0.549727 | − | 0.0969316i | ||||
\(179\) | 12.2715 | − | 12.2715i | 0.917214 | − | 0.917214i | −0.0796123 | − | 0.996826i | \(-0.525368\pi\) |
0.996826 | + | 0.0796123i | \(0.0253682\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.13211 | − | 1.78905i | −0.158478 | − | 0.132979i | 0.560100 | − | 0.828425i | \(-0.310763\pi\) |
−0.718579 | + | 0.695446i | \(0.755207\pi\) | |||||||
\(182\) | −8.09269 | − | 22.2345i | −0.599870 | − | 1.64813i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | − | 4.03451i | − | 0.297428i | ||||||
\(185\) | 8.38492 | + | 7.57499i | 0.616472 | + | 0.556924i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.551008 | + | 1.18164i | 0.0402937 | + | 0.0864102i | ||||
\(188\) | −5.33197 | + | 1.94068i | −0.388874 | + | 0.141539i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 5.78319 | + | 8.25925i | 0.419557 | + | 0.599189i | ||||
\(191\) | −6.90030 | − | 6.90030i | −0.499288 | − | 0.499288i | 0.411928 | − | 0.911216i | \(-0.364855\pi\) |
−0.911216 | + | 0.411928i | \(0.864855\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.43915 | − | 0.921516i | −0.247555 | − | 0.0663322i | 0.132908 | − | 0.991128i | \(-0.457569\pi\) |
−0.380463 | + | 0.924796i | \(0.624235\pi\) | |||||||
\(194\) | 9.19361 | + | 10.9565i | 0.660062 | + | 0.786632i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −12.3336 | + | 7.12079i | −0.880969 | + | 0.508628i | ||||
\(197\) | −0.132447 | + | 0.363896i | −0.00943648 | + | 0.0259265i | −0.944321 | − | 0.329024i | \(-0.893280\pi\) |
0.934885 | + | 0.354951i | \(0.115502\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.37182 | + | 1.17143i | −0.309910 | + | 0.0830402i | −0.410422 | − | 0.911896i | \(-0.634619\pi\) |
0.100512 | + | 0.994936i | \(0.467952\pi\) | |||||||
\(200\) | −1.26886 | − | 0.888464i | −0.0897218 | − | 0.0628239i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.557005 | + | 6.36659i | −0.0391907 | + | 0.447952i | ||||
\(203\) | −18.4058 | + | 39.4714i | −1.29184 | + | 2.77035i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.77952 | + | 0.243176i | 0.194130 | + | 0.0169842i | ||||
\(206\) | −1.75393 | − | 9.94706i | −0.122202 | − | 0.693044i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.32875 | + | 4.95897i | 0.0921324 | + | 0.343843i | ||||
\(209\) | −4.13608 | + | 0.361860i | −0.286099 | + | 0.0250304i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.83213 | − | 15.2977i | −0.608029 | − | 1.05314i | −0.991565 | − | 0.129611i | \(-0.958627\pi\) |
0.383536 | − | 0.923526i | \(-0.374706\pi\) | |||||||
\(212\) | −4.46614 | + | 7.73558i | −0.306736 | + | 0.531281i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 5.33971 | − | 19.9281i | 0.365015 | − | 1.36226i | ||||
\(215\) | −2.46721 | + | 13.9922i | −0.168262 | + | 0.954263i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.94189 | − | 4.16056i | 0.403362 | − | 0.282437i | ||||
\(218\) | 7.56391 | − | 9.01432i | 0.512293 | − | 0.610527i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.28792 | + | 0.600569i | −0.0868318 | + | 0.0404904i | ||||
\(221\) | −8.75016 | −0.588600 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.00255 | 0.602855 | 0.301428 | − | 0.953489i | \(-0.402537\pi\) | ||||
0.301428 | + | 0.953489i | \(0.402537\pi\) | |||||||
\(224\) | 4.17704 | − | 1.94779i | 0.279090 | − | 0.130142i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −11.9176 | + | 14.2028i | −0.792745 | + | 0.944756i | ||||
\(227\) | 13.2961 | − | 9.31000i | 0.882490 | − | 0.617926i | −0.0420063 | − | 0.999117i | \(-0.513375\pi\) |
0.924496 | + | 0.381191i | \(0.124486\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.05335 | − | 5.97383i | 0.0696072 | − | 0.394762i | −0.930021 | − | 0.367506i | \(-0.880212\pi\) |
0.999628 | − | 0.0272564i | \(-0.00867705\pi\) | |||||||
\(230\) | −1.93981 | + | 7.23949i | −0.127908 | + | 0.477358i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 4.72480 | − | 8.18360i | 0.310199 | − | 0.537280i | ||||
\(233\) | 2.02597 | + | 3.50909i | 0.132726 | + | 0.229888i | 0.924726 | − | 0.380632i | \(-0.124294\pi\) |
−0.792000 | + | 0.610520i | \(0.790960\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 10.5007 | − | 0.918695i | 0.684992 | − | 0.0599290i | ||||
\(236\) | 1.89326 | + | 7.06574i | 0.123241 | + | 0.459940i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.36406 | + | 7.73594i | 0.0884186 | + | 0.501447i | ||||
\(239\) | −3.23584 | − | 0.283099i | −0.209309 | − | 0.0183122i | −0.0179811 | − | 0.999838i | \(-0.505724\pi\) |
−0.191328 | + | 0.981526i | \(0.561279\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −11.9282 | + | 25.5802i | −0.768365 | + | 1.64776i | −0.00654205 | + | 0.999979i | \(0.502082\pi\) |
−0.761823 | + | 0.647785i | \(0.775695\pi\) | |||||||
\(242\) | −0.907712 | + | 10.3752i | −0.0583499 | + | 0.666943i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 7.56176 | + | 5.29480i | 0.484092 | + | 0.338965i | ||||
\(245\) | 25.5549 | − | 6.84742i | 1.63265 | − | 0.437466i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 9.53021 | − | 26.1840i | 0.606393 | − | 1.66605i | ||||
\(248\) | −1.36300 | + | 0.786931i | −0.0865509 | + | 0.0499702i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 7.82015 | + | 9.31969i | 0.494590 | + | 0.589429i | ||||
\(251\) | −18.5648 | − | 4.97444i | −1.17180 | − | 0.313984i | −0.380132 | − | 0.924932i | \(-0.624122\pi\) |
−0.791670 | + | 0.610948i | \(0.790788\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.18232 | − | 2.18232i | −0.137201 | − | 0.137201i | ||||
\(254\) | −1.97511 | − | 2.82075i | −0.123930 | − | 0.176990i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | −7.42240 | − | 15.9174i | −0.462996 | − | 0.992899i | −0.989741 | − | 0.142875i | \(-0.954365\pi\) |
0.526744 | − | 0.850024i | \(-0.323413\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −27.9986 | + | 1.42088i | −1.73975 | + | 0.0882889i | ||||
\(260\) | − | 9.53720i | − | 0.591472i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.188572 | − | 0.518096i | −0.0116500 | − | 0.0320081i | ||||
\(263\) | −13.0732 | − | 10.9697i | −0.806130 | − | 0.676424i | 0.143551 | − | 0.989643i | \(-0.454148\pi\) |
−0.949681 | + | 0.313219i | \(0.898592\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 11.7333 | − | 11.7333i | 0.720771 | − | 0.720771i | ||||
\(266\) | −24.6347 | − | 4.34377i | −1.51045 | − | 0.266333i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.22125 | − | 4.38115i | 0.318939 | − | 0.267621i | ||||
\(269\) | 5.55459 | + | 3.20694i | 0.338669 | + | 0.195531i | 0.659683 | − | 0.751544i | \(-0.270690\pi\) |
−0.321014 | + | 0.947074i | \(0.604024\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −9.08775 | − | 3.30767i | −0.552041 | − | 0.200927i | 0.0509119 | − | 0.998703i | \(-0.483787\pi\) |
−0.602953 | + | 0.797777i | \(0.706009\pi\) | |||||||
\(272\) | −0.148547 | − | 1.69790i | −0.00900699 | − | 0.102950i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −7.22678 | + | 10.3209i | −0.436585 | + | 0.623509i | ||||
\(275\) | −1.16692 | + | 0.205760i | −0.0703680 | + | 0.0124078i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −25.6525 | − | 11.9620i | −1.54131 | − | 0.718725i | −0.548248 | − | 0.836316i | \(-0.684705\pi\) |
−0.993062 | + | 0.117591i | \(0.962483\pi\) | |||||||
\(278\) | −7.50261 | − | 3.49852i | −0.449976 | − | 0.209827i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −8.43175 | + | 1.48675i | −0.503894 | + | 0.0888500i | ||||
\(281\) | 10.9768 | − | 15.6765i | 0.654823 | − | 0.935184i | −0.345171 | − | 0.938540i | \(-0.612179\pi\) |
0.999994 | + | 0.00335557i | \(0.00106811\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.198981 | − | 2.27437i | −0.0118282 | − | 0.135197i | 0.987984 | − | 0.154553i | \(-0.0493939\pi\) |
−0.999813 | + | 0.0193563i | \(0.993838\pi\) | |||||||
\(284\) | −7.69139 | − | 2.79944i | −0.456400 | − | 0.166116i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3.40110 | + | 1.96363i | 0.201112 | + | 0.116112i | ||||
\(287\) | −5.30273 | + | 4.44952i | −0.313010 | + | 0.262647i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.8809 | − | 2.44758i | −0.816525 | − | 0.143975i | ||||
\(290\) | −12.4129 | + | 12.4129i | −0.728908 | + | 0.728908i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.81526 | + | 1.52318i | 0.106230 | + | 0.0891375i | ||||
\(293\) | 0.338573 | + | 0.930221i | 0.0197796 | + | 0.0543441i | 0.949190 | − | 0.314705i | \(-0.101906\pi\) |
−0.929410 | + | 0.369049i | \(0.879683\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 13.5890i | − | 0.791181i | ||||||
\(296\) | 6.07870 | + | 0.222347i | 0.353317 | + | 0.0129237i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −3.08436 | − | 6.61442i | −0.178672 | − | 0.383163i | ||||
\(299\) | 19.4637 | − | 7.08419i | 1.12561 | − | 0.409690i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −20.2184 | − | 28.8749i | −1.16537 | − | 1.66432i | ||||
\(302\) | −7.83170 | − | 7.83170i | −0.450664 | − | 0.450664i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 5.24260 | + | 1.40475i | 0.300684 | + | 0.0805680i | ||||
\(305\) | −11.0230 | − | 13.1367i | −0.631174 | − | 0.752204i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 23.7471 | − | 13.7104i | 1.35532 | − | 0.782494i | 0.366330 | − | 0.930485i | \(-0.380614\pi\) |
0.988989 | + | 0.147991i | \(0.0472807\pi\) | |||||||
\(308\) | 1.20583 | − | 3.31299i | 0.0687086 | − | 0.188775i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.82412 | − | 0.756722i | 0.160399 | − | 0.0429789i | ||||
\(311\) | 3.46322 | + | 2.42497i | 0.196381 | + | 0.137508i | 0.667631 | − | 0.744492i | \(-0.267308\pi\) |
−0.471250 | + | 0.882000i | \(0.656197\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.70566 | − | 19.4958i | 0.0964095 | − | 1.10197i | −0.781748 | − | 0.623594i | \(-0.785672\pi\) |
0.878158 | − | 0.478371i | \(-0.158773\pi\) | |||||||
\(314\) | −4.89091 | + | 10.4886i | −0.276010 | + | 0.591906i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.91620 | − | 0.517600i | −0.332812 | − | 0.0291173i | ||||
\(317\) | −2.29959 | − | 13.0416i | −0.129158 | − | 0.732490i | −0.978751 | − | 0.205052i | \(-0.934264\pi\) |
0.849593 | − | 0.527438i | \(-0.176847\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.87090 | − | 6.98231i | −0.104751 | − | 0.390934i | ||||
\(320\) | 1.85062 | − | 0.161908i | 0.103453 | − | 0.00905095i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −9.29724 | − | 16.1033i | −0.518115 | − | 0.897402i | ||||
\(323\) | −4.62532 | + | 8.01128i | −0.257359 | + | 0.445760i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.05822 | − | 7.68140i | 0.114170 | − | 0.426087i | ||||
\(326\) | 3.45474 | − | 19.5928i | 0.191341 | − | 1.08515i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.23032 | − | 0.861477i | 0.0679329 | − | 0.0475671i | ||||
\(329\) | −16.8098 | + | 20.0332i | −0.926755 | + | 1.10446i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.23623 | − | 1.97539i | 0.232844 | − | 0.108577i | −0.302695 | − | 0.953088i | \(-0.597886\pi\) |
0.535539 | + | 0.844511i | \(0.320108\pi\) | |||||||
\(332\) | −10.6660 | −0.585375 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −17.0359 | −0.932163 | ||||||||
\(335\) | −11.4754 | + | 5.35109i | −0.626971 | + | 0.292361i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −11.9468 | + | 14.2376i | −0.650784 | + | 0.775574i | −0.986032 | − | 0.166556i | \(-0.946735\pi\) |
0.335248 | + | 0.942130i | \(0.391180\pi\) | |||||||
\(338\) | −10.9414 | + | 7.66125i | −0.595134 | + | 0.416717i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.549809 | + | 3.11812i | −0.0298176 | + | 0.169104i | ||||
\(341\) | −0.311605 | + | 1.16293i | −0.0168744 | + | 0.0629760i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −16.6877 | + | 28.9039i | −0.901050 | + | 1.56066i | ||||
\(344\) | 3.82413 | + | 6.62359i | 0.206183 | + | 0.357120i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −20.5761 | + | 1.80017i | −1.10618 | + | 0.0967780i | ||||
\(347\) | 6.04031 | + | 22.5427i | 0.324261 | + | 1.21016i | 0.915053 | + | 0.403334i | \(0.132149\pi\) |
−0.590792 | + | 0.806824i | \(0.701185\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.04704 | + | 17.2806i | 0.163104 | + | 0.925011i | 0.950997 | + | 0.309199i | \(0.100061\pi\) |
−0.787893 | + | 0.615812i | \(0.788828\pi\) | |||||||
\(350\) | −7.11191 | − | 0.622211i | −0.380147 | − | 0.0332586i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.323288 | + | 0.693294i | −0.0172313 | + | 0.0369527i | ||||
\(353\) | 2.09495 | − | 23.9453i | 0.111503 | − | 1.27448i | −0.709969 | − | 0.704233i | \(-0.751291\pi\) |
0.821472 | − | 0.570249i | \(-0.193153\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 12.4554 | + | 8.72135i | 0.661063 | + | 0.462881i | ||||
\(356\) | 7.19365 | − | 1.92753i | 0.381263 | − | 0.102159i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −5.93559 | + | 16.3079i | −0.313706 | + | 0.861899i | ||||
\(359\) | 9.52698 | − | 5.50040i | 0.502815 | − | 0.290300i | −0.227061 | − | 0.973881i | \(-0.572912\pi\) |
0.729875 | + | 0.683581i | \(0.239578\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.72240 | − | 8.01144i | −0.353810 | − | 0.421655i | ||||
\(362\) | 2.68843 | + | 0.720362i | 0.141301 | + | 0.0378614i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 16.7312 | + | 16.7312i | 0.876951 | + | 0.876951i | ||||
\(365\) | −2.52493 | − | 3.60597i | −0.132161 | − | 0.188745i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −15.0689 | + | 5.48462i | −0.786589 | + | 0.286295i | −0.703917 | − | 0.710282i | \(-0.748567\pi\) |
−0.0826716 | + | 0.996577i | \(0.526345\pi\) | |||||||
\(368\) | 1.70506 | + | 3.65651i | 0.0888823 | + | 0.190609i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −10.8007 | − | 3.32165i | −0.561499 | − | 0.172684i | ||||
\(371\) | 41.1676i | 2.13731i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3.24957 | − | 8.92813i | −0.168256 | − | 0.462281i | 0.826694 | − | 0.562652i | \(-0.190219\pi\) |
−0.994950 | + | 0.100372i | \(0.967997\pi\) | |||||||
\(374\) | −0.998766 | − | 0.838064i | −0.0516450 | − | 0.0433353i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 4.01224 | − | 4.01224i | 0.206916 | − | 0.206916i | ||||
\(377\) | 47.7764 | + | 8.42426i | 2.46061 | + | 0.433872i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −14.8365 | + | 12.4493i | −0.762102 | + | 0.639479i | −0.938673 | − | 0.344808i | \(-0.887944\pi\) |
0.176571 | + | 0.984288i | \(0.443499\pi\) | |||||||
\(380\) | −8.73186 | − | 5.04134i | −0.447935 | − | 0.258615i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 9.16999 | + | 3.33760i | 0.469177 | + | 0.170767i | ||||
\(383\) | 2.25137 | + | 25.7333i | 0.115040 | + | 1.31491i | 0.805956 | + | 0.591976i | \(0.201652\pi\) |
−0.690916 | + | 0.722935i | \(0.742792\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.75664 | + | 5.36503i | −0.191456 | + | 0.273427i | ||||
\(386\) | 3.50637 | − | 0.618268i | 0.178470 | − | 0.0314690i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −12.9627 | − | 6.04459i | −0.658079 | − | 0.306867i | ||||
\(389\) | −18.2289 | − | 8.50030i | −0.924244 | − | 0.430982i | −0.0985704 | − | 0.995130i | \(-0.531427\pi\) |
−0.825674 | + | 0.564148i | \(0.809205\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.77190 | + | 1.19407i | −0.342470 | + | 0.0603867i | ||||
\(392\) | 8.16863 | − | 11.6660i | 0.412578 | − | 0.589223i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.0337510 | − | 0.385776i | −0.00170035 | − | 0.0194351i | ||||
\(395\) | 10.3671 | + | 3.77332i | 0.521626 | + | 0.189856i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 28.8505 | + | 16.6568i | 1.44796 | + | 0.835982i | 0.998360 | − | 0.0572466i | \(-0.0182321\pi\) |
0.449603 | + | 0.893228i | \(0.351565\pi\) | |||||||
\(398\) | 3.46715 | − | 2.90929i | 0.173793 | − | 0.145829i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.52546 | + | 0.268979i | 0.0762728 | + | 0.0134490i | ||||
\(401\) | −18.0069 | + | 18.0069i | −0.899222 | + | 0.899222i | −0.995367 | − | 0.0961456i | \(-0.969349\pi\) |
0.0961456 | + | 0.995367i | \(0.469349\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.18969 | − | 5.19376i | −0.308330 | − | 0.258720i | ||||
\(404\) | −2.18582 | − | 6.00549i | −0.108749 | − | 0.298784i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | − | 43.5519i | − | 2.16144i | ||||||
\(407\) | 3.40831 | − | 3.16777i | 0.168944 | − | 0.157021i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −7.43585 | − | 15.9462i | −0.367679 | − | 0.788491i | −0.999906 | − | 0.0137073i | \(-0.995637\pi\) |
0.632227 | − | 0.774783i | \(-0.282141\pi\) | |||||||
\(410\) | −2.62187 | + | 0.954283i | −0.129485 | + | 0.0471287i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 5.79341 | + | 8.27385i | 0.285421 | + | 0.407623i | ||||
\(413\) | 23.8392 | + | 23.8392i | 1.17305 | + | 1.17305i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 19.1391 | + | 5.12829i | 0.939499 | + | 0.251738i | ||||
\(416\) | −3.30001 | − | 3.93280i | −0.161796 | − | 0.192821i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 3.59563 | − | 2.07594i | 0.175868 | − | 0.101537i | ||||
\(419\) | 0.504021 | − | 1.38479i | 0.0246230 | − | 0.0676513i | −0.926772 | − | 0.375624i | \(-0.877428\pi\) |
0.951395 | + | 0.307973i | \(0.0996506\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.9886 | − | 2.94438i | 0.535550 | − | 0.143500i | 0.0191003 | − | 0.999818i | \(-0.493920\pi\) |
0.516450 | + | 0.856317i | \(0.327253\pi\) | |||||||
\(422\) | 14.4697 | + | 10.1318i | 0.704375 | + | 0.493209i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.778499 | − | 8.89828i | 0.0378072 | − | 0.432139i | ||||
\(425\) | −1.11575 | + | 2.39272i | −0.0541216 | + | 0.116064i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 42.3834 | + | 3.70807i | 2.05108 | + | 0.179446i | ||||
\(428\) | 3.58255 | + | 20.3176i | 0.173169 | + | 0.982090i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −3.67733 | − | 13.7240i | −0.177336 | − | 0.661829i | ||||
\(431\) | −37.3119 | + | 3.26437i | −1.79725 | + | 0.157239i | −0.936244 | − | 0.351352i | \(-0.885722\pi\) |
−0.861008 | + | 0.508591i | \(0.830167\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −13.9608 | − | 24.1808i | −0.670914 | − | 1.16206i | −0.977645 | − | 0.210260i | \(-0.932569\pi\) |
0.306732 | − | 0.951796i | \(-0.400765\pi\) | |||||||
\(434\) | −3.62685 | + | 6.28190i | −0.174095 | + | 0.301541i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.04562 | + | 11.3664i | −0.145859 | + | 0.544351i | ||||
\(437\) | 3.80246 | − | 21.5648i | 0.181896 | − | 1.03158i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −7.11627 | + | 4.98287i | −0.339641 | + | 0.237819i | −0.730936 | − | 0.682446i | \(-0.760916\pi\) |
0.391295 | + | 0.920265i | \(0.372027\pi\) | |||||||
\(440\) | 0.913445 | − | 1.08860i | 0.0435468 | − | 0.0518970i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 7.93034 | − | 3.69798i | 0.377208 | − | 0.175895i | ||||
\(443\) | −37.9608 | −1.80357 | −0.901785 | − | 0.432185i | \(-0.857743\pi\) | ||||
−0.901785 | + | 0.432185i | \(0.857743\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −13.8350 | −0.655841 | ||||||||
\(446\) | −8.15908 | + | 3.80464i | −0.386344 | + | 0.180155i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.96252 | + | 3.53059i | −0.139966 | + | 0.166805i | ||||
\(449\) | 13.9590 | − | 9.77422i | 0.658768 | − | 0.461274i | −0.195779 | − | 0.980648i | \(-0.562724\pi\) |
0.854547 | + | 0.519374i | \(0.173835\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.199510 | − | 1.13148i | 0.00939455 | − | 0.0532791i | ||||
\(452\) | 4.79862 | − | 17.9087i | 0.225708 | − | 0.842354i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −8.11574 | + | 14.0569i | −0.380891 | + | 0.659722i | ||||
\(455\) | −21.9778 | − | 38.0667i | −1.03034 | − | 1.78459i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 7.04378 | − | 0.616251i | 0.329494 | − | 0.0288270i | 0.0787915 | − | 0.996891i | \(-0.474894\pi\) |
0.250703 | + | 0.968064i | \(0.419338\pi\) | |||||||
\(458\) | 1.56999 | + | 5.85930i | 0.0733610 | + | 0.273787i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.30147 | − | 7.38101i | −0.0606814 | − | 0.344141i | ||||
\(461\) | −19.0599 | − | 1.66753i | −0.887709 | − | 0.0776645i | −0.365828 | − | 0.930683i | \(-0.619214\pi\) |
−0.521881 | + | 0.853018i | \(0.674770\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.94832 | − | 12.7562i | 0.276442 | − | 0.592831i | −0.718244 | − | 0.695792i | \(-0.755054\pi\) |
0.994685 | + | 0.102960i | \(0.0328315\pi\) | |||||||
\(464\) | −0.823588 | + | 9.41365i | −0.0382341 | + | 0.437018i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.31916 | − | 2.32410i | −0.153757 | − | 0.107662i | ||||
\(467\) | 3.56658 | − | 0.955662i | 0.165042 | − | 0.0442227i | −0.175352 | − | 0.984506i | \(-0.556106\pi\) |
0.340394 | + | 0.940283i | \(0.389440\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 10.7440 | − | 29.5189i | 0.496112 | − | 1.36306i | ||||
\(470\) | −9.12864 | + | 5.27042i | −0.421073 | + | 0.243106i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −4.70199 | − | 5.60361i | −0.216426 | − | 0.257927i | ||||
\(473\) | 5.65130 | + | 1.51426i | 0.259847 | + | 0.0696258i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −5.94479 | − | 5.94479i | −0.272766 | − | 0.272766i | ||||
\(476\) | −4.50560 | − | 6.43467i | −0.206514 | − | 0.294933i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 3.05231 | − | 1.11095i | 0.139609 | − | 0.0508137i | ||||
\(479\) | 15.1175 | + | 32.4195i | 0.690734 | + | 1.48128i | 0.867711 | + | 0.497070i | \(0.165591\pi\) |
−0.176976 | + | 0.984215i | \(0.556632\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 9.60091 | + | 29.7158i | 0.437764 | + | 1.35493i | ||||
\(482\) | − | 28.2246i | − | 1.28560i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −3.56208 | − | 9.78674i | −0.161913 | − | 0.444852i | ||||
\(485\) | 20.3538 | + | 17.0789i | 0.924218 | + | 0.775511i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 27.1187 | − | 27.1187i | 1.22886 | − | 1.22886i | 0.264469 | − | 0.964394i | \(-0.414803\pi\) |
0.964394 | − | 0.264469i | \(-0.0851968\pi\) | |||||||
\(488\) | −9.09097 | − | 1.60298i | −0.411529 | − | 0.0725636i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −20.2668 | + | 17.0059i | −0.915560 | + | 0.768246i | ||||
\(491\) | 23.6745 | + | 13.6685i | 1.06842 | + | 0.616851i | 0.927748 | − | 0.373206i | \(-0.121742\pi\) |
0.140668 | + | 0.990057i | \(0.455075\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −15.1345 | − | 5.50851i | −0.681623 | − | 0.248091i | ||||
\(494\) | 2.42855 | + | 27.7584i | 0.109266 | + | 1.24891i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.902730 | − | 1.28923i | 0.0405338 | − | 0.0578883i | ||||
\(497\) | −37.1504 | + | 6.55063i | −1.66643 | + | 0.293836i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10.9377 | + | 5.10035i | 0.489641 | + | 0.228323i | 0.651727 | − | 0.758453i | \(-0.274045\pi\) |
−0.162087 | + | 0.986777i | \(0.551822\pi\) | |||||||
\(500\) | −11.0261 | − | 5.14157i | −0.493104 | − | 0.229938i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 18.9278 | − | 3.33747i | 0.844787 | − | 0.148959i | ||||
\(503\) | 20.1856 | − | 28.8280i | 0.900032 | − | 1.28538i | −0.0578826 | − | 0.998323i | \(-0.518435\pi\) |
0.957914 | − | 0.287055i | \(-0.0926762\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.03474 | + | 11.8272i | 0.0460454 | + | 0.526301i | ||||
\(506\) | 2.90014 | + | 1.05556i | 0.128927 | + | 0.0469255i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.98216 | + | 1.72175i | 0.132312 | + | 0.0763904i | ||||
\(509\) | 10.9848 | − | 9.21733i | 0.486892 | − | 0.408551i | −0.366019 | − | 0.930607i | \(-0.619279\pi\) |
0.852911 | + | 0.522056i | \(0.174835\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 10.7555 | + | 1.89648i | 0.475794 | + | 0.0838953i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 13.4540 | + | 11.2892i | 0.593428 | + | 0.497946i | ||||
\(515\) | −6.41753 | − | 17.6320i | −0.282790 | − | 0.776960i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 4.34054i | − | 0.190897i | ||||||
\(518\) | 24.7748 | − | 13.1205i | 1.08854 | − | 0.576480i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 4.03060 | + | 8.64364i | 0.176753 | + | 0.379049i | ||||
\(521\) | −31.2612 | + | 11.3782i | −1.36958 | + | 0.498486i | −0.919003 | − | 0.394252i | \(-0.871004\pi\) |
−0.450577 | + | 0.892738i | \(0.648782\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 13.4137 | + | 19.1567i | 0.586538 | + | 0.837663i | 0.997251 | − | 0.0741018i | \(-0.0236090\pi\) |
−0.410713 | + | 0.911765i | \(0.634720\pi\) | |||||||
\(524\) | 0.389861 | + | 0.389861i | 0.0170312 | + | 0.0170312i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 16.4844 | + | 4.41698i | 0.718754 | + | 0.192589i | ||||
\(527\) | 1.72426 | + | 2.05489i | 0.0751099 | + | 0.0895125i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −5.82205 | + | 3.36136i | −0.253132 | + | 0.146146i | ||||
\(530\) | −5.67527 | + | 15.5927i | −0.246518 | + | 0.677303i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 24.1624 | − | 6.47430i | 1.04757 | − | 0.280696i | ||||
\(533\) | 6.31633 | + | 4.42274i | 0.273591 | + | 0.191570i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.34034 | − | 38.1803i | 0.144416 | − | 1.65068i | ||||
\(536\) | −2.88051 | + | 6.17727i | −0.124419 | + | 0.266817i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −6.38948 | − | 0.559007i | −0.275470 | − | 0.0241005i | ||||
\(539\) | −1.89178 | − | 10.7288i | −0.0814846 | − | 0.462122i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 0.508352 | + | 1.89720i | 0.0218558 | + | 0.0815669i | 0.975992 | − | 0.217805i | \(-0.0698896\pi\) |
−0.954137 | + | 0.299372i | \(0.903223\pi\) | |||||||
\(542\) | 9.63418 | − | 0.842881i | 0.413823 | − | 0.0362049i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.852194 | + | 1.47604i | 0.0365375 | + | 0.0632848i | ||||
\(545\) | 10.9300 | − | 18.9314i | 0.468192 | − | 0.810932i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.68799 | + | 32.4240i | −0.371471 | + | 1.38635i | 0.486961 | + | 0.873424i | \(0.338105\pi\) |
−0.858432 | + | 0.512927i | \(0.828561\pi\) | |||||||
\(548\) | 2.18788 | − | 12.4081i | 0.0934616 | − | 0.530047i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.970632 | − | 0.679644i | 0.0413879 | − | 0.0289801i | ||||
\(551\) | 32.9674 | − | 39.2890i | 1.40446 | − | 1.67377i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −24.8066 | + | 11.5675i | −1.05488 | + | 0.491901i | ||||
\(554\) | 28.3044 | 1.20254 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 8.27821 | 0.351074 | ||||||||
\(557\) | 22.6070 | − | 10.5418i | 0.957889 | − | 0.446671i | 0.120158 | − | 0.992755i | \(-0.461660\pi\) |
0.837731 | + | 0.546084i | \(0.183882\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −25.2394 | + | 30.0791i | −1.06751 | + | 1.27221i | ||||
\(560\) | 7.01344 | − | 4.91086i | 0.296372 | − | 0.207522i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −3.32320 | + | 18.8468i | −0.140181 | + | 0.795004i | ||||
\(563\) | −2.87368 | + | 10.7247i | −0.121111 | + | 0.451993i | −0.999671 | − | 0.0256388i | \(-0.991838\pi\) |
0.878560 | + | 0.477632i | \(0.158505\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −17.2212 | + | 29.8280i | −0.724501 | + | 1.25487i | ||||
\(566\) | 1.14153 | + | 1.97718i | 0.0479819 | + | 0.0831072i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 8.15386 | − | 0.713371i | 0.342129 | − | 0.0299324i | ||||
\(569\) | 5.37581 | + | 20.0628i | 0.225366 | + | 0.841076i | 0.982258 | + | 0.187536i | \(0.0600502\pi\) |
−0.756892 | + | 0.653540i | \(0.773283\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.08335 | − | 23.1578i | −0.170883 | − | 0.969126i | −0.942789 | − | 0.333389i | \(-0.891808\pi\) |
0.771906 | − | 0.635736i | \(-0.219303\pi\) | |||||||
\(572\) | −3.91231 | − | 0.342283i | −0.163582 | − | 0.0143116i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 2.92546 | − | 6.27367i | 0.122106 | − | 0.261858i | ||||
\(575\) | 0.544672 | − | 6.22563i | 0.0227144 | − | 0.259627i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 13.1061 | + | 9.17696i | 0.545612 | + | 0.382042i | 0.813640 | − | 0.581369i | \(-0.197483\pi\) |
−0.268027 | + | 0.963411i | \(0.586372\pi\) | |||||||
\(578\) | 13.6148 | − | 3.64807i | 0.566300 | − | 0.151740i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 6.00397 | − | 16.4958i | 0.249301 | − | 0.684950i | ||||
\(581\) | −42.5723 | + | 24.5791i | −1.76620 | + | 1.01971i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.39209 | − | 5.23429i | −0.181902 | − | 0.216782i | ||||
\(584\) | −2.28891 | − | 0.613311i | −0.0947157 | − | 0.0253790i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.699979 | − | 0.699979i | −0.0289159 | − | 0.0289159i | ||||
\(587\) | −13.9431 | − | 19.9128i | −0.575493 | − | 0.821889i | 0.420868 | − | 0.907122i | \(-0.361725\pi\) |
−0.996361 | + | 0.0852329i | \(0.972837\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.02704 | + | 2.92160i | −0.330749 | + | 0.120383i | ||||
\(590\) | 5.74295 | + | 12.3158i | 0.236434 | + | 0.507033i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −5.60314 | + | 2.36745i | −0.230288 | + | 0.0973017i | ||||
\(593\) | − | 25.3065i | − | 1.03921i | −0.854406 | − | 0.519606i | \(-0.826079\pi\) | ||
0.854406 | − | 0.519606i | \(-0.173921\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.99099 | + | 13.7126i | 0.204611 | + | 0.562163i | ||||
\(596\) | 5.59075 | + | 4.69120i | 0.229006 | + | 0.192159i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −14.6462 | + | 14.6462i | −0.598926 | + | 0.598926i | ||||
\(599\) | 15.5557 | + | 2.74289i | 0.635589 | + | 0.112072i | 0.482153 | − | 0.876087i | \(-0.339855\pi\) |
0.153436 | + | 0.988159i | \(0.450966\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.59494 | + | 6.37291i | −0.309804 | + | 0.259956i | −0.784411 | − | 0.620241i | \(-0.787035\pi\) |
0.474607 | + | 0.880198i | \(0.342590\pi\) | |||||||
\(602\) | 30.5272 | + | 17.6249i | 1.24420 | + | 0.718337i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 10.4078 | + | 3.78811i | 0.423486 | + | 0.154136i | ||||
\(605\) | 1.68625 | + | 19.2739i | 0.0685557 | + | 0.783595i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −14.9621 | + | 21.3681i | −0.607293 | + | 0.867304i | −0.998597 | − | 0.0529575i | \(-0.983135\pi\) |
0.391304 | + | 0.920261i | \(0.372024\pi\) | |||||||
\(608\) | −5.34508 | + | 0.942482i | −0.216772 | + | 0.0382227i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 15.5420 | + | 7.24736i | 0.629278 | + | 0.293437i | ||||
\(611\) | 26.4013 | + | 12.3111i | 1.06808 | + | 0.498055i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −15.2226 | + | 2.68416i | −0.614837 | + | 0.108412i | −0.472389 | − | 0.881390i | \(-0.656608\pi\) |
−0.142447 | + | 0.989802i | \(0.545497\pi\) | |||||||
\(614\) | −15.7279 | + | 22.4618i | −0.634727 | + | 0.906485i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.307278 | + | 3.51220i | 0.0123806 | + | 0.141511i | ||||
\(617\) | −22.9292 | − | 8.34555i | −0.923096 | − | 0.335979i | −0.163626 | − | 0.986522i | \(-0.552319\pi\) |
−0.759469 | + | 0.650543i | \(0.774541\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.94091 | + | 5.73939i | 0.399559 | + | 0.230685i | 0.686294 | − | 0.727325i | \(-0.259236\pi\) |
−0.286735 | + | 0.958010i | \(0.592570\pi\) | |||||||
\(620\) | −2.23972 | + | 1.87935i | −0.0899493 | + | 0.0754765i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −4.16358 | − | 0.734152i | −0.166944 | − | 0.0294368i | ||||
\(623\) | 24.2708 | − | 24.2708i | 0.972388 | − | 0.972388i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 11.3801 | + | 9.54905i | 0.455205 | + | 0.381962i | ||||
\(626\) | 6.69341 | + | 18.3900i | 0.267522 | + | 0.735012i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 11.5729i | − | 0.461808i | ||||||
\(629\) | −1.42587 | − | 10.2689i | −0.0568530 | − | 0.409446i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.54890 | + | 20.4777i | 0.380136 | + | 0.815204i | 0.999546 | + | 0.0301361i | \(0.00959408\pi\) |
−0.619410 | + | 0.785068i | \(0.712628\pi\) | |||||||
\(632\) | 5.58064 | − | 2.03119i | 0.221986 | − | 0.0807963i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 7.59576 | + | 10.8479i | 0.301666 | + | 0.430824i | ||||
\(635\) | −4.52333 | − | 4.52333i | −0.179503 | − | 0.179503i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 70.6235 | + | 18.9235i | 2.79821 | + | 0.749777i | ||||
\(638\) | 4.64647 | + | 5.53744i | 0.183955 | + | 0.219229i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.60881 | + | 0.928845i | −0.0635937 | + | 0.0367158i | ||||
\(641\) | −5.01750 | + | 13.7855i | −0.198179 | + | 0.544493i | −0.998481 | − | 0.0551051i | \(-0.982451\pi\) |
0.800301 | + | 0.599598i | \(0.204673\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −8.32101 | + | 2.22961i | −0.328149 | + | 0.0879272i | −0.419132 | − | 0.907925i | \(-0.637666\pi\) |
0.0909834 | + | 0.995852i | \(0.470999\pi\) | |||||||
\(644\) | 15.2317 | + | 10.6654i | 0.600214 | + | 0.420274i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.806246 | − | 9.21543i | 0.0317213 | − | 0.362576i | ||||
\(647\) | 1.17711 | − | 2.52433i | 0.0462771 | − | 0.0992416i | −0.881810 | − | 0.471605i | \(-0.843675\pi\) |
0.928087 | + | 0.372364i | \(0.121453\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −5.57442 | − | 0.487698i | −0.218815 | − | 0.0191438i | ||||
\(650\) | 1.38091 | + | 7.83155i | 0.0541639 | + | 0.307179i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 5.14923 | + | 19.2172i | 0.201659 | + | 0.752603i | ||||
\(653\) | 22.4490 | − | 1.96403i | 0.878497 | − | 0.0768585i | 0.361023 | − | 0.932557i | \(-0.382428\pi\) |
0.517475 | + | 0.855699i | \(0.326872\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.512115 | − | 0.887010i | −0.0200100 | − | 0.0346584i | ||||
\(656\) | −0.750970 | + | 1.30072i | −0.0293204 | + | 0.0507845i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 6.76849 | − | 25.2603i | 0.263863 | − | 0.984751i | ||||
\(659\) | −2.76539 | + | 15.6833i | −0.107724 | + | 0.610934i | 0.882373 | + | 0.470551i | \(0.155945\pi\) |
−0.990097 | + | 0.140384i | \(0.955166\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5.25363 | + | 3.67863i | −0.204342 | + | 0.143082i | −0.671269 | − | 0.741214i | \(-0.734250\pi\) |
0.466926 | + | 0.884296i | \(0.345361\pi\) | |||||||
\(662\) | −3.00449 | + | 3.58062i | −0.116773 | + | 0.139165i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 9.66672 | − | 4.50767i | 0.375142 | − | 0.174931i | ||||
\(665\) | −46.4697 | −1.80202 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 38.1245 | 1.47619 | ||||||||
\(668\) | 15.4398 | − | 7.19968i | 0.597383 | − | 0.278564i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 8.13882 | − | 9.69947i | 0.314430 | − | 0.374723i | ||||
\(671\) | −5.78448 | + | 4.05034i | −0.223308 | + | 0.156362i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −2.21557 | + | 12.5651i | −0.0854040 | + | 0.484350i | 0.911865 | + | 0.410491i | \(0.134643\pi\) |
−0.997269 | + | 0.0738591i | \(0.976468\pi\) | |||||||
\(674\) | 4.81039 | − | 17.9526i | 0.185289 | − | 0.691509i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 6.67849 | − | 11.5675i | 0.256865 | − | 0.444903i | ||||
\(677\) | −14.5240 | − | 25.1563i | −0.558203 | − | 0.966836i | −0.997647 | − | 0.0685661i | \(-0.978158\pi\) |
0.439443 | − | 0.898270i | \(-0.355176\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −65.6683 | + | 5.74523i | −2.52012 | + | 0.220482i | ||||
\(680\) | −0.819479 | − | 3.05834i | −0.0314256 | − | 0.117282i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.209064 | − | 1.18566i | −0.00800546 | − | 0.0454012i | ||||
\(683\) | −43.6471 | − | 3.81863i | −1.67011 | − | 0.146116i | −0.787530 | − | 0.616277i | \(-0.788640\pi\) |
−0.882581 | + | 0.470161i | \(0.844196\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −9.89178 | + | 21.2130i | −0.377946 | + | 0.810507i | ||||
\(686\) | 2.90886 | − | 33.2484i | 0.111061 | − | 1.26943i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −6.26509 | − | 4.38686i | −0.238854 | − | 0.167248i | ||||
\(689\) | 44.2949 | − | 11.8688i | 1.68750 | − | 0.452165i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 7.28398 | − | 20.0126i | 0.277096 | − | 0.761314i | −0.720593 | − | 0.693359i | \(-0.756130\pi\) |
0.997688 | − | 0.0679555i | \(-0.0216476\pi\) | |||||||
\(692\) | 17.8875 | − | 10.3273i | 0.679980 | − | 0.392587i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −15.0014 | − | 17.8779i | −0.569444 | − | 0.678636i | ||||
\(695\) | −14.8543 | − | 3.98021i | −0.563457 | − | 0.150978i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.81011 | − | 1.81011i | −0.0685629 | − | 0.0685629i | ||||
\(698\) | −10.0647 | − | 14.3738i | −0.380953 | − | 0.544058i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 6.70853 | − | 2.44171i | 0.253559 | − | 0.0922878i | ||||
\(701\) | −18.9227 | − | 40.5800i | −0.714702 | − | 1.53268i | −0.841204 | − | 0.540718i | \(-0.818153\pi\) |
0.126502 | − | 0.991966i | \(-0.459625\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 32.2816 | + | 6.91753i | 1.21752 | + | 0.260900i | ||||
\(704\) | − | 0.764965i | − | 0.0288307i | ||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 8.22107 | + | 22.5872i | 0.309404 | + | 0.850081i | ||||
\(707\) | −22.5637 | − | 18.9332i | −0.848595 | − | 0.712056i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 15.5236 | − | 15.5236i | 0.583000 | − | 0.583000i | −0.352727 | − | 0.935726i | \(-0.614745\pi\) |
0.935726 | + | 0.352727i | \(0.114745\pi\) | |||||||
\(710\) | −14.9742 | − | 2.64036i | −0.561972 | − | 0.0990908i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −5.70505 | + | 4.78710i | −0.213806 | + | 0.179404i | ||||
\(713\) | −5.49906 | − | 3.17488i | −0.205941 | − | 0.118900i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.85565 | + | 2.49525i | 0.256387 | + | 0.0933171i | ||||
\(716\) | −1.51254 | − | 17.2885i | −0.0565264 | − | 0.646100i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −6.30980 | + | 9.01133i | −0.235480 | + | 0.336300i | ||||
\(719\) | 13.8634 | − | 2.44448i | 0.517016 | − | 0.0911638i | 0.0909490 | − | 0.995856i | \(-0.471010\pi\) |
0.426067 | + | 0.904692i | \(0.359899\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 42.1903 | + | 19.6736i | 1.57125 | + | 0.732685i | ||||
\(722\) | 9.47834 | + | 4.41982i | 0.352747 | + | 0.164489i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −2.74098 | + | 0.483309i | −0.101868 | + | 0.0179620i | ||||
\(725\) | 8.39564 | − | 11.9902i | 0.311806 | − | 0.445305i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −0.0777661 | − | 0.888870i | −0.00288418 | − | 0.0329664i | 0.994616 | − | 0.103627i | \(-0.0330448\pi\) |
−0.997500 | + | 0.0706606i | \(0.977489\pi\) | |||||||
\(728\) | −22.2345 | − | 8.09269i | −0.824065 | − | 0.299935i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 3.81231 | + | 2.20104i | 0.141100 | + | 0.0814641i | ||||
\(731\) | 9.98585 | − | 8.37913i | 0.369340 | − | 0.309913i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 26.1844 | + | 4.61701i | 0.967142 | + | 0.170533i | 0.634843 | − | 0.772641i | \(-0.281065\pi\) |
0.332299 | + | 0.943174i | \(0.392176\pi\) | |||||||
\(734\) | 11.3391 | − | 11.3391i | 0.418535 | − | 0.418535i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.09061 | − | 2.59333i | −0.113922 | − | 0.0955915i | ||||
\(737\) | 1.78326 | + | 4.89946i | 0.0656871 | + | 0.180474i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − | 46.7086i | − | 1.71820i | −0.511805 | − | 0.859102i | \(-0.671023\pi\) | ||
0.511805 | − | 0.859102i | \(-0.328977\pi\) | |||||||
\(740\) | 11.1925 | − | 1.55412i | 0.411445 | − | 0.0571305i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −17.3982 | − | 37.3105i | −0.638707 | − | 1.36971i | ||||
\(743\) | −6.10600 | + | 2.22240i | −0.224007 | + | 0.0815321i | −0.451586 | − | 0.892228i | \(-0.649141\pi\) |
0.227578 | + | 0.973760i | \(0.426919\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −7.77644 | − | 11.1059i | −0.284907 | − | 0.406889i | ||||
\(746\) | 6.71830 | + | 6.71830i | 0.245975 | + | 0.245975i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.25937 | + | 0.337447i | 0.0460472 | + | 0.0123383i | ||||
\(749\) | 61.1199 | + | 72.8398i | 2.23327 | + | 2.66151i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −41.9214 | + | 24.2034i | −1.52974 | + | 0.883193i | −0.530363 | + | 0.847771i | \(0.677944\pi\) |
−0.999372 | + | 0.0354225i | \(0.988722\pi\) | |||||||
\(752\) | −1.94068 | + | 5.33197i | −0.0707693 | + | 0.194437i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −46.8603 | + | 12.5562i | −1.70655 | + | 0.457269i | ||||
\(755\) | −16.8542 | − | 11.8015i | −0.613388 | − | 0.429499i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.70655 | − | 30.9360i | 0.0983711 | − | 1.12439i | −0.773215 | − | 0.634144i | \(-0.781352\pi\) |
0.871586 | − | 0.490243i | \(-0.163092\pi\) | |||||||
\(758\) | 8.18516 | − | 17.5531i | 0.297298 | − | 0.637558i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 10.0443 | + | 0.878764i | 0.364346 | + | 0.0318761i | ||||
\(761\) | 8.10617 | + | 45.9724i | 0.293848 | + | 1.66650i | 0.671846 | + | 0.740691i | \(0.265502\pi\) |
−0.377998 | + | 0.925807i | \(0.623387\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 14.0368 | + | 52.3861i | 0.508167 | + | 1.89650i | ||||
\(764\) | −9.72136 | + | 0.850509i | −0.351707 | + | 0.0307703i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −12.9158 | − | 22.3708i | −0.466667 | − | 0.808291i | ||||
\(767\) | 18.7772 | − | 32.5231i | 0.678007 | − | 1.17434i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −7.15193 | + | 26.6914i | −0.257905 | + | 0.962515i | 0.708546 | + | 0.705665i | \(0.249351\pi\) |
−0.966451 | + | 0.256850i | \(0.917315\pi\) | |||||||
\(770\) | 1.13731 | − | 6.45000i | 0.0409857 | − | 0.232442i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −2.91656 | + | 2.04220i | −0.104969 | + | 0.0735003i | ||||
\(773\) | −27.2484 | + | 32.4734i | −0.980057 | + | 1.16799i | 0.00573006 | + | 0.999984i | \(0.498176\pi\) |
−0.985787 | + | 0.168002i | \(0.946268\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −2.20948 | + | 1.03030i | −0.0793670 | + | 0.0370094i | ||||
\(776\) | 14.3027 | 0.513437 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 20.1134 | 0.721101 | ||||||||
\(779\) | 7.38807 | − | 3.44511i | 0.264705 | − | 0.123434i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 4.02465 | − | 4.79639i | 0.144013 | − | 0.171628i | ||||
\(782\) | 5.63279 | − | 3.94412i | 0.201428 | − | 0.141042i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −2.47302 | + | 14.0252i | −0.0883222 | + | 0.500900i | ||||
\(785\) | −5.56431 | + | 20.7663i | −0.198599 | + | 0.741180i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 7.76945 | − | 13.4571i | 0.276951 | − | 0.479693i | −0.693674 | − | 0.720289i | \(-0.744009\pi\) |
0.970626 | + | 0.240595i | \(0.0773427\pi\) | |||||||
\(788\) | 0.193625 | + | 0.335368i | 0.00689760 | + | 0.0119470i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −10.9905 | + | 0.961541i | −0.391023 | + | 0.0342101i | ||||
\(791\) | −22.1162 | − | 82.5386i | −0.786360 | − | 2.93473i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −8.22956 | − | 46.6722i | −0.292240 | − | 1.65738i | ||||
\(794\) | −33.1869 | − | 2.90348i | −1.17776 | − | 0.103040i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.91279 | + | 4.10199i | −0.0677970 | + | 0.145391i | ||||
\(797\) | 2.86500 | − | 32.7471i | 0.101484 | − | 1.15996i | −0.759213 | − | 0.650843i | \(-0.774416\pi\) |
0.860696 | − | 0.509119i | \(-0.170029\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −7.92200 | − | 5.54705i | −0.280260 | − | 0.196240i | ||||
\(800\) | −1.49621 | + | 0.400908i | −0.0528990 | + | 0.0141742i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 8.70975 | − | 23.9298i | 0.307552 | − | 0.844992i | ||||
\(803\) | −1.56984 | + | 0.906350i | −0.0553986 | + | 0.0319844i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −22.2037 | − | 26.4613i | −0.782577 | − | 0.932639i | ||||
\(806\) | 7.80474 | + | 2.09127i | 0.274910 | + | 0.0736620i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 4.51906 | + | 4.51906i | 0.158980 | + | 0.158980i | ||||
\(809\) | −6.26031 | − | 8.94065i | −0.220101 | − | 0.314337i | 0.693883 | − | 0.720088i | \(-0.255899\pi\) |
−0.913983 | + | 0.405752i | \(0.867010\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −20.0302 | + | 7.29041i | −0.703356 | + | 0.256001i | −0.668843 | − | 0.743403i | \(-0.733210\pi\) |
−0.0345131 | + | 0.999404i | \(0.510988\pi\) | |||||||
\(812\) | 18.4058 | + | 39.4714i | 0.645918 | + | 1.38518i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −1.75022 | + | 4.31139i | −0.0613452 | + | 0.151114i | ||||
\(815\) | − | 36.9589i | − | 1.29461i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 14.1977 | + | 39.0078i | 0.496714 | + | 1.36471i | ||||
\(818\) | 13.4783 | + | 11.3097i | 0.471259 | + | 0.395433i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 1.97292 | − | 1.97292i | 0.0688975 | − | 0.0688975i | ||||
\(821\) | 8.08927 | + | 1.42636i | 0.282318 | + | 0.0497802i | 0.313014 | − | 0.949749i | \(-0.398661\pi\) |
−0.0306963 | + | 0.999529i | \(0.509772\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −35.0370 | + | 29.3995i | −1.22131 | + | 1.02480i | −0.222558 | + | 0.974919i | \(0.571441\pi\) |
−0.998755 | + | 0.0498838i | \(0.984115\pi\) | |||||||
\(824\) | −8.74730 | − | 5.05025i | −0.304726 | − | 0.175934i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −31.6806 | − | 11.5308i | −1.10231 | − | 0.401207i | ||||
\(827\) | 4.49919 | + | 51.4260i | 0.156452 | + | 1.78826i | 0.517475 | + | 0.855698i | \(0.326872\pi\) |
−0.361023 | + | 0.932557i | \(0.617572\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −20.3619 | + | 29.0798i | −0.707197 | + | 1.00998i | 0.291377 | + | 0.956608i | \(0.405886\pi\) |
−0.998575 | + | 0.0533740i | \(0.983002\pi\) | |||||||
\(830\) | −19.5132 | + | 3.44070i | −0.677312 | + | 0.119428i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 4.65290 | + | 2.16968i | 0.161310 | + | 0.0752202i | ||||
\(833\) | −21.9989 | − | 10.2583i | −0.762218 | − | 0.355428i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −31.1666 | + | 5.49552i | −1.07857 | + | 0.190180i | ||||
\(836\) | −2.38142 | + | 3.40102i | −0.0823631 | + | 0.117627i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0.128438 | + | 1.46805i | 0.00443681 | + | 0.0507130i | ||||
\(839\) | 10.9056 | + | 3.96931i | 0.376503 | + | 0.137036i | 0.523338 | − | 0.852125i | \(-0.324686\pi\) |
−0.146835 | + | 0.989161i | \(0.546909\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 52.2171 | + | 30.1475i | 1.80059 | + | 1.03957i | ||||
\(842\) | −8.71468 | + | 7.31249i | −0.300328 | + | 0.252005i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −17.3959 | − | 3.06737i | −0.598792 | − | 0.105583i | ||||
\(845\) | −17.5455 | + | 17.5455i | −0.603585 | + | 0.603585i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −36.7705 | − | 30.8541i | −1.26345 | − | 1.06016i | ||||
\(848\) | 3.05502 | + | 8.39359i | 0.104910 | + | 0.288237i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | − | 2.64008i | − | 0.0905539i | ||||||
\(851\) | 11.4854 | + | 21.6874i | 0.393715 | + | 0.743436i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 4.66876 | + | 10.0122i | 0.159855 | + | 0.342811i | 0.969879 | − | 0.243586i | \(-0.0783238\pi\) |
−0.810024 | + | 0.586397i | \(0.800546\pi\) | |||||||
\(854\) | −39.9795 | + | 14.5514i | −1.36807 | + | 0.497937i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −11.8335 | − | 16.9000i | −0.404461 | − | 0.577630i | ||||
\(857\) | −39.5995 | − | 39.5995i | −1.35269 | − | 1.35269i | −0.882635 | − | 0.470059i | \(-0.844232\pi\) |
−0.470059 | − | 0.882635i | \(-0.655768\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 17.8671 | + | 4.78747i | 0.609617 | + | 0.163346i | 0.550403 | − | 0.834899i | \(-0.314474\pi\) |
0.0592139 | + | 0.998245i | \(0.481141\pi\) | |||||||
\(860\) | 9.13279 | + | 10.8840i | 0.311426 | + | 0.371143i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 32.4365 | − | 18.7272i | 1.10479 | − | 0.637852i | ||||
\(863\) | −15.2588 | + | 41.9233i | −0.519417 | + | 1.42709i | 0.351747 | + | 0.936095i | \(0.385588\pi\) |
−0.871164 | + | 0.490992i | \(0.836634\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −37.0626 | + | 9.93089i | −1.26017 | + | 0.337660i | ||||
\(866\) | 22.8720 | + | 16.0152i | 0.777224 | + | 0.544218i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.632202 | − | 7.22611i | 0.0214583 | − | 0.245270i | ||||
\(869\) | 1.91994 | − | 4.11733i | 0.0651296 | − | 0.139671i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −34.8588 | − | 3.04975i | −1.18115 | − | 0.103337i | ||||
\(872\) | −2.04338 | − | 11.5886i | −0.0691976 | − | 0.392439i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 5.66748 | + | 21.1513i | 0.191705 | + | 0.715455i | ||||
\(875\) | −55.8579 | + | 4.88694i | −1.88834 | + | 0.165209i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −20.9170 | − | 36.2294i | −0.706319 | − | 1.22338i | −0.966214 | − | 0.257743i | \(-0.917021\pi\) |
0.259895 | − | 0.965637i | \(-0.416312\pi\) | |||||||
\(878\) | 4.34368 | − | 7.52347i | 0.146592 | − | 0.253905i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.367799 | + | 1.37265i | −0.0123985 | + | 0.0462719i | ||||
\(881\) | −2.32008 | + | 13.1578i | −0.0781656 | + | 0.443299i | 0.920458 | + | 0.390842i | \(0.127816\pi\) |
−0.998623 | + | 0.0524567i | \(0.983295\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 19.1640 | − | 13.4188i | 0.644920 | − | 0.451578i | −0.204806 | − | 0.978803i | \(-0.565656\pi\) |
0.849726 | + | 0.527225i | \(0.176767\pi\) | |||||||
\(884\) | −5.62450 | + | 6.70301i | −0.189172 | + | 0.225447i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 34.4041 | − | 16.0429i | 1.15583 | − | 0.538972i | ||||
\(887\) | 45.4923 | 1.52748 | 0.763742 | − | 0.645522i | \(-0.223360\pi\) | ||||
0.763742 | + | 0.645522i | \(0.223360\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 15.8706 | 0.532283 | ||||||||
\(890\) | 12.5387 | − | 5.84691i | 0.420300 | − | 0.195989i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 5.78673 | − | 6.89635i | 0.193754 | − | 0.230907i | ||||
\(893\) | 25.2272 | − | 17.6643i | 0.844197 | − | 0.591113i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −5.59829 | + | 31.7495i | −0.187130 | + | 1.06127i | ||||
\(896\) | 1.19286 | − | 4.45181i | 0.0398507 | − | 0.148725i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −8.52042 | + | 14.7578i | −0.284330 | + | 0.492474i | ||||
\(899\) | −7.43619 | − | 12.8799i | −0.248011 | − | 0.429567i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −15.1661 | + | 1.32686i | −0.505257 | + | 0.0442042i | ||||
\(902\) | 0.297365 | + | 1.10978i | 0.00990118 | + | 0.0369517i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 3.21951 | + | 18.2588i | 0.107079 | + | 0.607278i | ||||
\(905\) | 5.15077 | + | 0.450634i | 0.171217 | + | 0.0149796i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 18.2216 | − | 39.0764i | 0.605039 | − | 1.29751i | −0.330340 | − | 0.943862i | \(-0.607163\pi\) |
0.935379 | − | 0.353648i | \(-0.115059\pi\) | |||||||
\(908\) | 1.41467 | − | 16.1697i | 0.0469474 | − | 0.536611i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 36.0063 | + | 25.2119i | 1.19360 | + | 0.835766i | ||||
\(911\) | −3.38314 | + | 0.906510i | −0.112088 | + | 0.0300340i | −0.314427 | − | 0.949282i | \(-0.601812\pi\) |
0.202339 | + | 0.979316i | \(0.435146\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.79059 | − | 7.66709i | 0.0923552 | − | 0.253744i | ||||
\(914\) | −6.12340 | + | 3.53534i | −0.202544 | + | 0.116939i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −3.89914 | − | 4.64682i | −0.128831 | − | 0.153535i | ||||
\(917\) | 2.45449 | + | 0.657680i | 0.0810545 | + | 0.0217185i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −13.8897 | − | 13.8897i | −0.458180 | − | 0.458180i | 0.439878 | − | 0.898058i | \(-0.355022\pi\) |
−0.898058 | + | 0.439878i | \(0.855022\pi\) | |||||||
\(920\) | 4.29888 | + | 6.13944i | 0.141730 | + | 0.202411i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 17.9789 | − | 6.54378i | 0.592103 | − | 0.215508i | ||||
\(923\) | 17.7589 | + | 38.0840i | 0.584540 | + | 1.25355i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 9.34999 | + | 1.16375i | 0.307426 | + | 0.0382638i | ||||
\(926\) | 14.0749i | 0.462531i | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −3.23196 | − | 8.87973i | −0.106094 | − | 0.291491i | ||||
\(929\) | 1.52848 | + | 1.28255i | 0.0501479 | + | 0.0420791i | 0.667517 | − | 0.744594i | \(-0.267357\pi\) |
−0.617369 | + | 0.786674i | \(0.711802\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 54.6570 | − | 54.6570i | 1.79131 | − | 1.79131i | ||||
\(932\) | 3.99039 | + | 0.703613i | 0.130710 | + | 0.0230476i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −2.82854 | + | 2.37342i | −0.0925526 | + | 0.0776608i | ||||
\(935\) | −2.09756 | − | 1.21102i | −0.0685974 | − | 0.0396047i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −31.1706 | − | 11.3452i | −1.01830 | − | 0.370630i | −0.221684 | − | 0.975119i | \(-0.571155\pi\) |
−0.796614 | + | 0.604488i | \(0.793378\pi\) | |||||||
\(938\) | 2.73785 | + | 31.2938i | 0.0893941 | + | 1.02178i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 6.04598 | − | 8.63455i | 0.197198 | − | 0.281628i | ||||
\(941\) | 2.39309 | − | 0.421966i | 0.0780125 | − | 0.0137557i | −0.134506 | − | 0.990913i | \(-0.542945\pi\) |
0.212518 | + | 0.977157i | \(0.431834\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 5.49185 | + | 2.56089i | 0.178839 | + | 0.0833942i | ||||
\(944\) | 6.62963 | + | 3.09145i | 0.215776 | + | 0.100618i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −5.76177 | + | 1.01596i | −0.187331 | + | 0.0330316i | ||||
\(947\) | −17.9402 | + | 25.6213i | −0.582979 | + | 0.832581i | −0.996977 | − | 0.0776973i | \(-0.975243\pi\) |
0.413998 | + | 0.910278i | \(0.364132\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.06030 | − | 12.1193i | −0.0344188 | − | 0.393408i | ||||
\(950\) | 7.90019 | + | 2.87543i | 0.256316 | + | 0.0932914i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 6.80287 | + | 3.92764i | 0.220482 | + | 0.127296i | ||||
\(953\) | −10.4418 | + | 8.76171i | −0.338243 | + | 0.283820i | −0.796049 | − | 0.605233i | \(-0.793080\pi\) |
0.457805 | + | 0.889052i | \(0.348636\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 17.8529 | + | 3.14794i | 0.577705 | + | 0.101865i | ||||
\(956\) | −2.29682 | + | 2.29682i | −0.0742846 | + | 0.0742846i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −27.4021 | − | 22.9931i | −0.885323 | − | 0.742874i | ||||
\(959\) | −19.8609 | − | 54.5673i | −0.641341 | − | 1.76207i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | − | 28.5230i | − | 0.920095i | ||||||
\(962\) | −21.2598 | − | 22.8742i | −0.685445 | − | 0.737493i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 11.9282 | + | 25.5802i | 0.384182 | + | 0.823882i | ||||
\(965\) | 6.21535 | − | 2.26220i | 0.200079 | − | 0.0728229i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −10.0857 | − | 14.4039i | −0.324336 | − | 0.463199i | 0.623562 | − | 0.781774i | \(-0.285685\pi\) |
−0.947898 | + | 0.318574i | \(0.896796\pi\) | |||||||
\(968\) | 7.36440 | + | 7.36440i | 0.236701 | + | 0.236701i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −25.6646 | − | 6.87682i | −0.824042 | − | 0.220801i | ||||
\(971\) | 36.6117 | + | 43.6321i | 1.17492 | + | 1.40022i | 0.898380 | + | 0.439219i | \(0.144745\pi\) |
0.276544 | + | 0.961001i | \(0.410811\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 33.0416 | − | 19.0765i | 1.05926 | − | 0.611566i | ||||
\(974\) | −13.1170 | + | 36.0387i | −0.420296 | + | 1.15475i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 8.91666 | − | 2.38921i | 0.285415 | − | 0.0764768i | ||||
\(977\) | −35.4126 | − | 24.7961i | −1.13295 | − | 0.793299i | −0.152157 | − | 0.988356i | \(-0.548622\pi\) |
−0.980792 | + | 0.195057i | \(0.937511\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.496527 | + | 5.67533i | −0.0158691 | + | 0.181384i | ||||
\(980\) | 11.1810 | − | 23.9777i | 0.357163 | − | 0.765938i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −27.2330 | − | 2.38258i | −0.869039 | − | 0.0760310i | ||||
\(983\) | 8.37067 | + | 47.4725i | 0.266983 | + | 1.51414i | 0.763328 | + | 0.646011i | \(0.223564\pi\) |
−0.496345 | + | 0.868125i | \(0.665325\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.186192 | − | 0.694877i | −0.00593256 | − | 0.0221406i | ||||
\(986\) | 16.0445 | − | 1.40371i | 0.510961 | − | 0.0447033i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −13.9322 | − | 24.1313i | −0.443244 | − | 0.767720i | ||||
\(989\) | −15.4285 | + | 26.7230i | −0.490598 | + | 0.849740i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 3.01622 | − | 11.2567i | 0.0958135 | − | 0.357581i | −0.901328 | − | 0.433137i | \(-0.857407\pi\) |
0.997142 | + | 0.0755563i | \(0.0240732\pi\) | |||||||
\(992\) | −0.273298 | + | 1.54995i | −0.00867723 | + | 0.0492110i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 30.9013 | − | 21.6373i | 0.980130 | − | 0.686295i | ||||
\(995\) | 5.40455 | − | 6.44089i | 0.171336 | − | 0.204190i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −27.2229 | + | 12.6942i | −0.862157 | + | 0.402031i | −0.802830 | − | 0.596208i | \(-0.796673\pi\) |
−0.0593274 | + | 0.998239i | \(0.518896\pi\) | |||||||
\(998\) | −12.0685 | −0.382020 | ||||||||
\(999\) | 0 | 0 |
(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 | 666.2.bs.b.89.2 | ✓ | 96 | |
3.2 | odd | 2 | inner | 666.2.bs.b.89.7 | yes | 96 | |
37.5 | odd | 36 | inner | 666.2.bs.b.449.7 | yes | 96 | |
111.5 | even | 36 | inner | 666.2.bs.b.449.2 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
666.2.bs.b.89.2 | ✓ | 96 | 1.1 | even | 1 | trivial | |
666.2.bs.b.89.7 | yes | 96 | 3.2 | odd | 2 | inner | |
666.2.bs.b.449.2 | yes | 96 | 111.5 | even | 36 | inner | |
666.2.bs.b.449.7 | yes | 96 | 37.5 | odd | 36 | inner |