Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(19,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 25, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.ba (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 73.3 | ||
Character | \(\chi\) | \(=\) | 462.73 |
Dual form | 462.2.ba.b.19.3 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.994522 | − | 0.104528i | −0.703233 | − | 0.0739128i | ||||
\(3\) | −0.743145 | + | 0.669131i | −0.429055 | + | 0.386323i | ||||
\(4\) | 0.978148 | + | 0.207912i | 0.489074 | + | 0.103956i | ||||
\(5\) | 0.0572849 | − | 0.128664i | 0.0256186 | − | 0.0575402i | −0.900283 | − | 0.435305i | \(-0.856641\pi\) |
0.925902 | + | 0.377765i | \(0.123307\pi\) | |||||||
\(6\) | 0.809017 | − | 0.587785i | 0.330280 | − | 0.239962i | ||||
\(7\) | −2.64421 | − | 0.0903816i | −0.999416 | − | 0.0341610i | ||||
\(8\) | −0.951057 | − | 0.309017i | −0.336249 | − | 0.109254i | ||||
\(9\) | 0.104528 | − | 0.994522i | 0.0348428 | − | 0.331507i | ||||
\(10\) | −0.0704201 | + | 0.121971i | −0.0222688 | + | 0.0385707i | ||||
\(11\) | 2.71894 | − | 1.89931i | 0.819791 | − | 0.572662i | ||||
\(12\) | −0.866025 | + | 0.500000i | −0.250000 | + | 0.144338i | ||||
\(13\) | 0.467724 | + | 0.339821i | 0.129723 | + | 0.0942494i | 0.650755 | − | 0.759288i | \(-0.274453\pi\) |
−0.521032 | + | 0.853537i | \(0.674453\pi\) | |||||||
\(14\) | 2.62027 | + | 0.366281i | 0.700298 | + | 0.0978928i | ||||
\(15\) | 0.0435220 | + | 0.133947i | 0.0112373 | + | 0.0345850i | ||||
\(16\) | 0.913545 | + | 0.406737i | 0.228386 | + | 0.101684i | ||||
\(17\) | −0.392700 | − | 3.73629i | −0.0952438 | − | 0.906185i | −0.932936 | − | 0.360042i | \(-0.882762\pi\) |
0.837692 | − | 0.546143i | \(-0.183904\pi\) | |||||||
\(18\) | −0.207912 | + | 0.978148i | −0.0490053 | + | 0.230552i | ||||
\(19\) | 2.44435 | − | 0.519562i | 0.560771 | − | 0.119196i | 0.0811989 | − | 0.996698i | \(-0.474125\pi\) |
0.479572 | + | 0.877502i | \(0.340792\pi\) | |||||||
\(20\) | 0.0827838 | − | 0.113942i | 0.0185110 | − | 0.0254782i | ||||
\(21\) | 2.02551 | − | 1.70215i | 0.442002 | − | 0.371440i | ||||
\(22\) | −2.90258 | + | 1.60470i | −0.618832 | + | 0.342122i | ||||
\(23\) | −3.21150 | − | 5.56248i | −0.669644 | − | 1.15986i | −0.978004 | − | 0.208587i | \(-0.933113\pi\) |
0.308360 | − | 0.951270i | \(-0.400220\pi\) | |||||||
\(24\) | 0.913545 | − | 0.406737i | 0.186477 | − | 0.0830248i | ||||
\(25\) | 3.33238 | + | 3.70098i | 0.666476 | + | 0.740197i | ||||
\(26\) | −0.429640 | − | 0.386850i | −0.0842594 | − | 0.0758675i | ||||
\(27\) | 0.587785 | + | 0.809017i | 0.113119 | + | 0.155695i | ||||
\(28\) | −2.56763 | − | 0.638168i | −0.485237 | − | 0.120602i | ||||
\(29\) | 7.90362 | − | 2.56804i | 1.46766 | − | 0.476873i | 0.537263 | − | 0.843415i | \(-0.319458\pi\) |
0.930402 | + | 0.366541i | \(0.119458\pi\) | |||||||
\(30\) | −0.0292823 | − | 0.137762i | −0.00534620 | − | 0.0251519i | ||||
\(31\) | 2.99583 | + | 6.72873i | 0.538066 | + | 1.20852i | 0.954188 | + | 0.299207i | \(0.0967223\pi\) |
−0.416122 | + | 0.909309i | \(0.636611\pi\) | |||||||
\(32\) | −0.866025 | − | 0.500000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | −0.749682 | + | 3.23079i | −0.130503 | + | 0.562408i | ||||
\(34\) | 3.75688i | 0.644299i | ||||||||
\(35\) | −0.163102 | + | 0.335036i | −0.0275693 | + | 0.0566315i | ||||
\(36\) | 0.309017 | − | 0.951057i | 0.0515028 | − | 0.158509i | ||||
\(37\) | 0.302521 | − | 0.335984i | 0.0497342 | − | 0.0552355i | −0.717764 | − | 0.696286i | \(-0.754834\pi\) |
0.767499 | + | 0.641051i | \(0.221501\pi\) | |||||||
\(38\) | −2.48526 | + | 0.261212i | −0.403163 | + | 0.0423741i | ||||
\(39\) | −0.574971 | + | 0.0604319i | −0.0920691 | + | 0.00967685i | ||||
\(40\) | −0.0942405 | + | 0.104665i | −0.0149007 | + | 0.0165489i | ||||
\(41\) | 2.85327 | − | 8.78148i | 0.445607 | − | 1.37144i | −0.436211 | − | 0.899845i | \(-0.643680\pi\) |
0.881817 | − | 0.471591i | \(-0.156320\pi\) | |||||||
\(42\) | −2.19233 | + | 1.48111i | −0.338284 | + | 0.228540i | ||||
\(43\) | − | 10.6377i | − | 1.62223i | −0.584885 | − | 0.811116i | \(-0.698860\pi\) | ||
0.584885 | − | 0.811116i | \(-0.301140\pi\) | |||||||
\(44\) | 3.05441 | − | 1.29250i | 0.460470 | − | 0.194852i | ||||
\(45\) | −0.121971 | − | 0.0704201i | −0.0181824 | − | 0.0104976i | ||||
\(46\) | 2.61247 | + | 5.86770i | 0.385188 | + | 0.865145i | ||||
\(47\) | −1.31427 | − | 6.18315i | −0.191706 | − | 0.901905i | −0.963847 | − | 0.266455i | \(-0.914148\pi\) |
0.772142 | − | 0.635451i | \(-0.219186\pi\) | |||||||
\(48\) | −0.951057 | + | 0.309017i | −0.137273 | + | 0.0446028i | ||||
\(49\) | 6.98366 | + | 0.477976i | 0.997666 | + | 0.0682822i | ||||
\(50\) | −2.92727 | − | 4.02904i | −0.413978 | − | 0.569792i | ||||
\(51\) | 2.79190 | + | 2.51384i | 0.390945 | + | 0.352008i | ||||
\(52\) | 0.386850 | + | 0.429640i | 0.0536464 | + | 0.0595804i | ||||
\(53\) | 11.0637 | − | 4.92589i | 1.51972 | − | 0.676622i | 0.534071 | − | 0.845439i | \(-0.320661\pi\) |
0.985647 | + | 0.168817i | \(0.0539947\pi\) | |||||||
\(54\) | −0.500000 | − | 0.866025i | −0.0680414 | − | 0.117851i | ||||
\(55\) | −0.0886181 | − | 0.458631i | −0.0119493 | − | 0.0618418i | ||||
\(56\) | 2.48686 | + | 0.903063i | 0.332321 | + | 0.120677i | ||||
\(57\) | −1.46885 | + | 2.02170i | −0.194554 | + | 0.267780i | ||||
\(58\) | −8.12875 | + | 1.72782i | −1.06736 | + | 0.226874i | ||||
\(59\) | −2.16420 | + | 10.1818i | −0.281755 | + | 1.32555i | 0.578498 | + | 0.815684i | \(0.303639\pi\) |
−0.860253 | + | 0.509868i | \(0.829694\pi\) | |||||||
\(60\) | 0.0147218 | + | 0.140069i | 0.00190058 | + | 0.0180828i | ||||
\(61\) | −7.69110 | − | 3.42430i | −0.984745 | − | 0.438437i | −0.149768 | − | 0.988721i | \(-0.547853\pi\) |
−0.834977 | + | 0.550285i | \(0.814519\pi\) | |||||||
\(62\) | −2.27607 | − | 7.00502i | −0.289061 | − | 0.889639i | ||||
\(63\) | −0.366281 | + | 2.62027i | −0.0461471 | + | 0.330124i | ||||
\(64\) | 0.809017 | + | 0.587785i | 0.101127 | + | 0.0734732i | ||||
\(65\) | 0.0705162 | − | 0.0407125i | 0.00874646 | − | 0.00504977i | ||||
\(66\) | 1.08328 | − | 3.13472i | 0.133343 | − | 0.385858i | ||||
\(67\) | 3.60283 | − | 6.24028i | 0.440155 | − | 0.762371i | −0.557545 | − | 0.830147i | \(-0.688257\pi\) |
0.997701 | + | 0.0677751i | \(0.0215900\pi\) | |||||||
\(68\) | 0.392700 | − | 3.73629i | 0.0476219 | − | 0.453092i | ||||
\(69\) | 6.10863 | + | 1.98482i | 0.735393 | + | 0.238944i | ||||
\(70\) | 0.197229 | − | 0.316152i | 0.0235734 | − | 0.0377874i | ||||
\(71\) | −8.17275 | + | 5.93785i | −0.969927 | + | 0.704693i | −0.955435 | − | 0.295202i | \(-0.904613\pi\) |
−0.0144920 | + | 0.999895i | \(0.504613\pi\) | |||||||
\(72\) | −0.406737 | + | 0.913545i | −0.0479344 | + | 0.107662i | ||||
\(73\) | 9.37421 | + | 1.99255i | 1.09717 | + | 0.233210i | 0.720719 | − | 0.693227i | \(-0.243812\pi\) |
0.376449 | + | 0.926437i | \(0.377145\pi\) | |||||||
\(74\) | −0.335984 | + | 0.302521i | −0.0390574 | + | 0.0351674i | ||||
\(75\) | −4.95288 | − | 0.520569i | −0.571910 | − | 0.0601101i | ||||
\(76\) | 2.49895 | 0.286650 | ||||||||
\(77\) | −7.36110 | + | 4.77642i | −0.838876 | + | 0.544323i | ||||
\(78\) | 0.578138 | 0.0654613 | ||||||||
\(79\) | −12.1905 | − | 1.28128i | −1.37154 | − | 0.144155i | −0.610068 | − | 0.792349i | \(-0.708858\pi\) |
−0.761475 | + | 0.648194i | \(0.775524\pi\) | |||||||
\(80\) | 0.104665 | − | 0.0942405i | 0.0117019 | − | 0.0105364i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | −3.75556 | + | 8.43512i | −0.414732 | + | 0.931503i | ||||
\(83\) | −5.87852 | + | 4.27100i | −0.645252 | + | 0.468803i | −0.861650 | − | 0.507502i | \(-0.830569\pi\) |
0.216399 | + | 0.976305i | \(0.430569\pi\) | |||||||
\(84\) | 2.33514 | − | 1.24383i | 0.254785 | − | 0.135713i | ||||
\(85\) | −0.503222 | − | 0.163507i | −0.0545821 | − | 0.0177348i | ||||
\(86\) | −1.11194 | + | 10.5794i | −0.119904 | + | 1.14081i | ||||
\(87\) | −4.15518 | + | 7.19698i | −0.445482 | + | 0.771597i | ||||
\(88\) | −3.17278 | + | 0.966149i | −0.338220 | + | 0.102992i | ||||
\(89\) | 9.87647 | − | 5.70218i | 1.04690 | − | 0.604430i | 0.125123 | − | 0.992141i | \(-0.460067\pi\) |
0.921781 | + | 0.387711i | \(0.126734\pi\) | |||||||
\(90\) | 0.113942 | + | 0.0827838i | 0.0120106 | + | 0.00872618i | ||||
\(91\) | −1.20604 | − | 0.940831i | −0.126428 | − | 0.0986259i | ||||
\(92\) | −1.98482 | − | 6.10863i | −0.206931 | − | 0.636869i | ||||
\(93\) | −6.72873 | − | 2.99583i | −0.697737 | − | 0.310653i | ||||
\(94\) | 0.660754 | + | 6.28666i | 0.0681516 | + | 0.648419i | ||||
\(95\) | 0.0731752 | − | 0.344262i | 0.00750761 | − | 0.0353205i | ||||
\(96\) | 0.978148 | − | 0.207912i | 0.0998318 | − | 0.0212199i | ||||
\(97\) | −10.5808 | + | 14.5632i | −1.07431 | + | 1.47867i | −0.208683 | + | 0.977983i | \(0.566918\pi\) |
−0.865631 | + | 0.500683i | \(0.833082\pi\) | |||||||
\(98\) | −6.89544 | − | 1.20535i | −0.696545 | − | 0.121759i | ||||
\(99\) | −1.60470 | − | 2.90258i | −0.161278 | − | 0.291720i | ||||
\(100\) | 2.49008 | + | 4.31295i | 0.249008 | + | 0.431295i | ||||
\(101\) | −13.3045 | + | 5.92354i | −1.32385 | + | 0.589414i | −0.942248 | − | 0.334915i | \(-0.891292\pi\) |
−0.381597 | + | 0.924329i | \(0.624626\pi\) | |||||||
\(102\) | −2.51384 | − | 2.79190i | −0.248907 | − | 0.276440i | ||||
\(103\) | −0.127819 | − | 0.115089i | −0.0125944 | − | 0.0113400i | 0.662809 | − | 0.748788i | \(-0.269364\pi\) |
−0.675404 | + | 0.737448i | \(0.736031\pi\) | |||||||
\(104\) | −0.339821 | − | 0.467724i | −0.0333222 | − | 0.0458641i | ||||
\(105\) | −0.102975 | − | 0.358117i | −0.0100493 | − | 0.0349487i | ||||
\(106\) | −11.5180 | + | 3.74243i | −1.11873 | + | 0.363497i | ||||
\(107\) | 1.43794 | + | 6.76496i | 0.139011 | + | 0.653993i | 0.991376 | + | 0.131047i | \(0.0418338\pi\) |
−0.852366 | + | 0.522946i | \(0.824833\pi\) | |||||||
\(108\) | 0.406737 | + | 0.913545i | 0.0391383 | + | 0.0879060i | ||||
\(109\) | 1.51381 | + | 0.874001i | 0.144997 | + | 0.0837141i | 0.570743 | − | 0.821128i | \(-0.306655\pi\) |
−0.425746 | + | 0.904843i | \(0.639988\pi\) | |||||||
\(110\) | 0.0401926 | + | 0.465382i | 0.00383221 | + | 0.0443724i | ||||
\(111\) | 0.452111i | 0.0429125i | ||||||||
\(112\) | −2.37884 | − | 1.15806i | −0.224779 | − | 0.109427i | ||||
\(113\) | −1.21600 | + | 3.74245i | −0.114391 | + | 0.352060i | −0.991820 | − | 0.127648i | \(-0.959257\pi\) |
0.877428 | + | 0.479708i | \(0.159257\pi\) | |||||||
\(114\) | 1.67213 | − | 1.85708i | 0.156609 | − | 0.173932i | ||||
\(115\) | −0.899661 | + | 0.0945581i | −0.0838938 | + | 0.00881759i | ||||
\(116\) | 8.26483 | − | 0.868669i | 0.767370 | − | 0.0806539i | ||||
\(117\) | 0.386850 | − | 0.429640i | 0.0357643 | − | 0.0397203i | ||||
\(118\) | 3.21663 | − | 9.89976i | 0.296114 | − | 0.911347i | ||||
\(119\) | 0.700689 | + | 9.91503i | 0.0642320 | + | 0.908909i | ||||
\(120\) | − | 0.140840i | − | 0.0128569i | ||||||
\(121\) | 3.78527 | − | 10.3282i | 0.344116 | − | 0.938927i | ||||
\(122\) | 7.29103 | + | 4.20948i | 0.660099 | + | 0.381108i | ||||
\(123\) | 3.75556 | + | 8.43512i | 0.338627 | + | 0.760569i | ||||
\(124\) | 1.53138 | + | 7.20456i | 0.137522 | + | 0.646989i | ||||
\(125\) | 1.33681 | − | 0.434357i | 0.119568 | − | 0.0388501i | ||||
\(126\) | 0.638168 | − | 2.56763i | 0.0568525 | − | 0.228743i | ||||
\(127\) | −2.23272 | − | 3.07308i | −0.198122 | − | 0.272691i | 0.698384 | − | 0.715723i | \(-0.253903\pi\) |
−0.896506 | + | 0.443032i | \(0.853903\pi\) | |||||||
\(128\) | −0.743145 | − | 0.669131i | −0.0656853 | − | 0.0591433i | ||||
\(129\) | 7.11800 | + | 7.90535i | 0.626705 | + | 0.696027i | ||||
\(130\) | −0.0743855 | + | 0.0331186i | −0.00652404 | + | 0.00290469i | ||||
\(131\) | −6.18133 | − | 10.7064i | −0.540066 | − | 0.935421i | −0.998900 | − | 0.0468992i | \(-0.985066\pi\) |
0.458834 | − | 0.888522i | \(-0.348267\pi\) | |||||||
\(132\) | −1.40502 | + | 3.00432i | −0.122291 | + | 0.261492i | ||||
\(133\) | −6.51031 | + | 1.15290i | −0.564516 | + | 0.0999695i | ||||
\(134\) | −4.23538 | + | 5.82950i | −0.365881 | + | 0.503592i | ||||
\(135\) | 0.137762 | − | 0.0292823i | 0.0118567 | − | 0.00252022i | ||||
\(136\) | −0.781098 | + | 3.67478i | −0.0669786 | + | 0.315110i | ||||
\(137\) | −0.140655 | − | 1.33824i | −0.0120170 | − | 0.114334i | 0.986869 | − | 0.161523i | \(-0.0516405\pi\) |
−0.998886 | + | 0.0471887i | \(0.984974\pi\) | |||||||
\(138\) | −5.86770 | − | 2.61247i | −0.499492 | − | 0.222388i | ||||
\(139\) | 1.10383 | + | 3.39724i | 0.0936258 | + | 0.288151i | 0.986893 | − | 0.161375i | \(-0.0515930\pi\) |
−0.893267 | + | 0.449526i | \(0.851593\pi\) | |||||||
\(140\) | −0.229196 | + | 0.293804i | −0.0193706 | + | 0.0248310i | ||||
\(141\) | 5.11403 | + | 3.71556i | 0.430679 | + | 0.312907i | ||||
\(142\) | 8.74865 | − | 5.05104i | 0.734171 | − | 0.423874i | ||||
\(143\) | 1.91714 | + | 0.0356028i | 0.160319 | + | 0.00297726i | ||||
\(144\) | 0.500000 | − | 0.866025i | 0.0416667 | − | 0.0721688i | ||||
\(145\) | 0.122343 | − | 1.16402i | 0.0101601 | − | 0.0966666i | ||||
\(146\) | −9.11458 | − | 2.96151i | −0.754328 | − | 0.245096i | ||||
\(147\) | −5.50970 | + | 4.31778i | −0.454432 | + | 0.356124i | ||||
\(148\) | 0.365766 | − | 0.265744i | 0.0300658 | − | 0.0218441i | ||||
\(149\) | 4.49833 | − | 10.1034i | 0.368517 | − | 0.827704i | −0.630169 | − | 0.776458i | \(-0.717014\pi\) |
0.998686 | − | 0.0512454i | \(-0.0163191\pi\) | |||||||
\(150\) | 4.87134 | + | 1.03543i | 0.397743 | + | 0.0845429i | ||||
\(151\) | 8.36293 | − | 7.53002i | 0.680566 | − | 0.612784i | −0.254578 | − | 0.967052i | \(-0.581937\pi\) |
0.935144 | + | 0.354268i | \(0.115270\pi\) | |||||||
\(152\) | −2.48526 | − | 0.261212i | −0.201582 | − | 0.0211871i | ||||
\(153\) | −3.75688 | −0.303725 | ||||||||
\(154\) | 7.82005 | − | 3.98081i | 0.630158 | − | 0.320783i | ||||
\(155\) | 1.03736 | 0.0833228 | ||||||||
\(156\) | −0.574971 | − | 0.0604319i | −0.0460345 | − | 0.00483842i | ||||
\(157\) | −5.49837 | + | 4.95075i | −0.438818 | + | 0.395113i | −0.858711 | − | 0.512460i | \(-0.828734\pi\) |
0.419893 | + | 0.907573i | \(0.362068\pi\) | |||||||
\(158\) | 11.9898 | + | 2.54852i | 0.953860 | + | 0.202749i | ||||
\(159\) | −4.92589 | + | 11.0637i | −0.390648 | + | 0.877410i | ||||
\(160\) | −0.113942 | + | 0.0827838i | −0.00900791 | + | 0.00654463i | ||||
\(161\) | 7.98912 | + | 14.9986i | 0.629631 | + | 1.18206i | ||||
\(162\) | 0.951057 | + | 0.309017i | 0.0747221 | + | 0.0242787i | ||||
\(163\) | 0.428396 | − | 4.07592i | 0.0335546 | − | 0.319250i | −0.964851 | − | 0.262799i | \(-0.915355\pi\) |
0.998405 | − | 0.0564520i | \(-0.0179788\pi\) | |||||||
\(164\) | 4.61670 | − | 7.99635i | 0.360503 | − | 0.624410i | ||||
\(165\) | 0.372740 | + | 0.281532i | 0.0290178 | + | 0.0219172i | ||||
\(166\) | 6.29276 | − | 3.63313i | 0.488413 | − | 0.281985i | ||||
\(167\) | 2.35762 | + | 1.71291i | 0.182438 | + | 0.132549i | 0.675256 | − | 0.737583i | \(-0.264033\pi\) |
−0.492818 | + | 0.870132i | \(0.664033\pi\) | |||||||
\(168\) | −2.45236 | + | 0.992928i | −0.189204 | + | 0.0766061i | ||||
\(169\) | −3.91393 | − | 12.0459i | −0.301072 | − | 0.926604i | ||||
\(170\) | 0.483374 | + | 0.215212i | 0.0370731 | + | 0.0165060i | ||||
\(171\) | −0.261212 | − | 2.48526i | −0.0199754 | − | 0.190053i | ||||
\(172\) | 2.21170 | − | 10.4052i | 0.168641 | − | 0.793392i | ||||
\(173\) | −19.2638 | + | 4.09464i | −1.46460 | + | 0.311310i | −0.870135 | − | 0.492813i | \(-0.835969\pi\) |
−0.594463 | + | 0.804123i | \(0.702635\pi\) | |||||||
\(174\) | 4.88470 | − | 6.72322i | 0.370308 | − | 0.509686i | ||||
\(175\) | −8.47700 | − | 10.0874i | −0.640801 | − | 0.762532i | ||||
\(176\) | 3.25639 | − | 0.629210i | 0.245460 | − | 0.0474285i | ||||
\(177\) | −5.20461 | − | 9.01465i | −0.391203 | − | 0.677583i | ||||
\(178\) | −10.4184 | + | 4.63857i | −0.780893 | + | 0.347676i | ||||
\(179\) | 0.818225 | + | 0.908731i | 0.0611570 | + | 0.0679218i | 0.772947 | − | 0.634471i | \(-0.218782\pi\) |
−0.711790 | + | 0.702392i | \(0.752115\pi\) | |||||||
\(180\) | −0.104665 | − | 0.0942405i | −0.00780124 | − | 0.00702427i | ||||
\(181\) | 6.40714 | + | 8.81867i | 0.476239 | + | 0.655486i | 0.977777 | − | 0.209649i | \(-0.0672322\pi\) |
−0.501538 | + | 0.865136i | \(0.667232\pi\) | |||||||
\(182\) | 1.10109 | + | 1.06174i | 0.0816185 | + | 0.0787016i | ||||
\(183\) | 8.00691 | − | 2.60160i | 0.591888 | − | 0.192316i | ||||
\(184\) | 1.33542 | + | 6.28264i | 0.0984482 | + | 0.463162i | ||||
\(185\) | −0.0258991 | − | 0.0581704i | −0.00190414 | − | 0.00427677i | ||||
\(186\) | 6.37872 | + | 3.68276i | 0.467711 | + | 0.270033i | ||||
\(187\) | −8.16410 | − | 9.41290i | −0.597018 | − | 0.688340i | ||||
\(188\) | − | 6.32129i | − | 0.461027i | ||||||
\(189\) | −1.48111 | − | 2.19233i | −0.107735 | − | 0.159469i | ||||
\(190\) | −0.108759 | + | 0.334727i | −0.00789024 | + | 0.0242837i | ||||
\(191\) | −2.40234 | + | 2.66807i | −0.173828 | + | 0.193055i | −0.823763 | − | 0.566934i | \(-0.808129\pi\) |
0.649935 | + | 0.759989i | \(0.274796\pi\) | |||||||
\(192\) | −0.994522 | + | 0.104528i | −0.0717734 | + | 0.00754369i | ||||
\(193\) | 5.24555 | − | 0.551329i | 0.377583 | − | 0.0396855i | 0.0861635 | − | 0.996281i | \(-0.472539\pi\) |
0.291419 | + | 0.956595i | \(0.405873\pi\) | |||||||
\(194\) | 12.0451 | − | 13.3774i | 0.864786 | − | 0.960442i | ||||
\(195\) | −0.0251617 | + | 0.0774399i | −0.00180187 | + | 0.00554558i | ||||
\(196\) | 6.73168 | + | 1.91952i | 0.480834 | + | 0.137108i | ||||
\(197\) | − | 3.99937i | − | 0.284943i | −0.989799 | − | 0.142472i | \(-0.954495\pi\) | ||
0.989799 | − | 0.142472i | \(-0.0455050\pi\) | |||||||
\(198\) | 1.29250 | + | 3.05441i | 0.0918542 | + | 0.217068i | ||||
\(199\) | 12.1561 | + | 7.01835i | 0.861726 | + | 0.497518i | 0.864590 | − | 0.502478i | \(-0.167578\pi\) |
−0.00286369 | + | 0.999996i | \(0.500912\pi\) | |||||||
\(200\) | −2.02562 | − | 4.54961i | −0.143233 | − | 0.321706i | ||||
\(201\) | 1.49814 | + | 7.04819i | 0.105671 | + | 0.497141i | ||||
\(202\) | 13.8508 | − | 4.50039i | 0.974537 | − | 0.316646i | ||||
\(203\) | −21.1309 | + | 6.07609i | −1.48310 | + | 0.426458i | ||||
\(204\) | 2.20824 | + | 3.03938i | 0.154607 | + | 0.212799i | ||||
\(205\) | −0.966409 | − | 0.870159i | −0.0674970 | − | 0.0607745i | ||||
\(206\) | 0.115089 | + | 0.127819i | 0.00801860 | + | 0.00890555i | ||||
\(207\) | −5.86770 | + | 2.61247i | −0.407833 | + | 0.181579i | ||||
\(208\) | 0.289069 | + | 0.500682i | 0.0200433 | + | 0.0347161i | ||||
\(209\) | 5.65922 | − | 6.05522i | 0.391457 | − | 0.418848i | ||||
\(210\) | 0.0649773 | + | 0.366919i | 0.00448386 | + | 0.0253198i | ||||
\(211\) | −8.75395 | + | 12.0488i | −0.602647 | + | 0.829472i | −0.995947 | − | 0.0899379i | \(-0.971333\pi\) |
0.393301 | + | 0.919410i | \(0.371333\pi\) | |||||||
\(212\) | 11.8461 | − | 2.51797i | 0.813593 | − | 0.172935i | ||||
\(213\) | 2.10034 | − | 9.88132i | 0.143913 | − | 0.677057i | ||||
\(214\) | −0.722928 | − | 6.87820i | −0.0494184 | − | 0.470184i | ||||
\(215\) | −1.36869 | − | 0.609379i | −0.0933437 | − | 0.0415593i | ||||
\(216\) | −0.309017 | − | 0.951057i | −0.0210259 | − | 0.0647112i | ||||
\(217\) | −7.31343 | − | 18.0629i | −0.496468 | − | 1.22619i | ||||
\(218\) | −1.41416 | − | 1.02745i | −0.0957792 | − | 0.0695877i | ||||
\(219\) | −8.29967 | + | 4.79182i | −0.560840 | + | 0.323801i | ||||
\(220\) | 0.00867320 | − | 0.467033i | 0.000584747 | − | 0.0314874i | ||||
\(221\) | 1.08600 | − | 1.88100i | 0.0730520 | − | 0.126530i | ||||
\(222\) | 0.0472585 | − | 0.449635i | 0.00317178 | − | 0.0301775i | ||||
\(223\) | 10.6478 | + | 3.45968i | 0.713030 | + | 0.231678i | 0.642999 | − | 0.765867i | \(-0.277690\pi\) |
0.0700316 | + | 0.997545i | \(0.477690\pi\) | |||||||
\(224\) | 2.24476 | + | 1.40038i | 0.149984 | + | 0.0935666i | ||||
\(225\) | 4.02904 | − | 2.92727i | 0.268602 | − | 0.195151i | ||||
\(226\) | 1.60053 | − | 3.59484i | 0.106465 | − | 0.239125i | ||||
\(227\) | 7.93216 | + | 1.68603i | 0.526476 | + | 0.111906i | 0.463479 | − | 0.886108i | \(-0.346601\pi\) |
0.0629968 | + | 0.998014i | \(0.479934\pi\) | |||||||
\(228\) | −1.85708 | + | 1.67213i | −0.122988 | + | 0.110739i | ||||
\(229\) | 22.5860 | + | 2.37389i | 1.49253 | + | 0.156871i | 0.815358 | − | 0.578957i | \(-0.196540\pi\) |
0.677168 | + | 0.735828i | \(0.263207\pi\) | |||||||
\(230\) | 0.904616 | 0.0596486 | ||||||||
\(231\) | 2.27432 | − | 8.47511i | 0.149639 | − | 0.557621i | ||||
\(232\) | −8.31036 | −0.545602 | ||||||||
\(233\) | 21.7923 | + | 2.29047i | 1.42766 | + | 0.150053i | 0.786613 | − | 0.617446i | \(-0.211833\pi\) |
0.641050 | + | 0.767499i | \(0.278499\pi\) | |||||||
\(234\) | −0.429640 | + | 0.386850i | −0.0280865 | + | 0.0252892i | ||||
\(235\) | −0.870836 | − | 0.185102i | −0.0568071 | − | 0.0120747i | ||||
\(236\) | −4.23381 | + | 9.50930i | −0.275598 | + | 0.619003i | ||||
\(237\) | 9.91668 | − | 7.20489i | 0.644157 | − | 0.468008i | ||||
\(238\) | 0.339553 | − | 9.93396i | 0.0220099 | − | 0.643923i | ||||
\(239\) | −3.74416 | − | 1.21655i | −0.242190 | − | 0.0786922i | 0.185407 | − | 0.982662i | \(-0.440640\pi\) |
−0.427597 | + | 0.903970i | \(0.640640\pi\) | |||||||
\(240\) | −0.0147218 | + | 0.140069i | −0.000950289 | + | 0.00904139i | ||||
\(241\) | 12.5908 | − | 21.8079i | 0.811043 | − | 1.40477i | −0.101091 | − | 0.994877i | \(-0.532233\pi\) |
0.912135 | − | 0.409891i | \(-0.134433\pi\) | |||||||
\(242\) | −4.84413 | + | 9.87595i | −0.311392 | + | 0.634850i | ||||
\(243\) | 0.866025 | − | 0.500000i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | −6.81108 | − | 4.94854i | −0.436035 | − | 0.316798i | ||||
\(245\) | 0.461556 | − | 0.871164i | 0.0294878 | − | 0.0556567i | ||||
\(246\) | −2.85327 | − | 8.78148i | −0.181918 | − | 0.559886i | ||||
\(247\) | 1.31984 | + | 0.587629i | 0.0839792 | + | 0.0373899i | ||||
\(248\) | −0.769906 | − | 7.32517i | −0.0488891 | − | 0.465149i | ||||
\(249\) | 1.51074 | − | 7.10747i | 0.0957392 | − | 0.450417i | ||||
\(250\) | −1.37489 | + | 0.292242i | −0.0869558 | + | 0.0184830i | ||||
\(251\) | 1.75153 | − | 2.41078i | 0.110556 | − | 0.152167i | −0.750153 | − | 0.661264i | \(-0.770020\pi\) |
0.860709 | + | 0.509097i | \(0.170020\pi\) | |||||||
\(252\) | −0.903063 | + | 2.48686i | −0.0568876 | + | 0.156658i | ||||
\(253\) | −19.2967 | − | 9.02443i | −1.21317 | − | 0.567361i | ||||
\(254\) | 1.89927 | + | 3.28962i | 0.119171 | + | 0.206409i | ||||
\(255\) | 0.483374 | − | 0.215212i | 0.0302701 | − | 0.0134771i | ||||
\(256\) | 0.669131 | + | 0.743145i | 0.0418207 | + | 0.0464466i | ||||
\(257\) | 2.77868 | + | 2.50194i | 0.173329 | + | 0.156067i | 0.751230 | − | 0.660041i | \(-0.229461\pi\) |
−0.577900 | + | 0.816107i | \(0.696128\pi\) | |||||||
\(258\) | −6.25268 | − | 8.60607i | −0.389275 | − | 0.535791i | ||||
\(259\) | −0.830296 | + | 0.861069i | −0.0515921 | + | 0.0535042i | ||||
\(260\) | 0.0774399 | − | 0.0251617i | 0.00480262 | − | 0.00156046i | ||||
\(261\) | −1.72782 | − | 8.12875i | −0.106949 | − | 0.503157i | ||||
\(262\) | 5.02835 | + | 11.2939i | 0.310653 | + | 0.697737i | ||||
\(263\) | 6.76394 | + | 3.90516i | 0.417082 | + | 0.240803i | 0.693828 | − | 0.720140i | \(-0.255923\pi\) |
−0.276746 | + | 0.960943i | \(0.589256\pi\) | |||||||
\(264\) | 1.71136 | − | 2.84100i | 0.105327 | − | 0.174851i | ||||
\(265\) | − | 1.70568i | − | 0.104779i | ||||||
\(266\) | 6.59516 | − | 0.466076i | 0.404375 | − | 0.0285769i | ||||
\(267\) | −3.52414 | + | 10.8462i | −0.215674 | + | 0.663776i | ||||
\(268\) | 4.82152 | − | 5.35484i | 0.294521 | − | 0.327099i | ||||
\(269\) | −17.8373 | + | 1.87477i | −1.08756 | + | 0.114307i | −0.631298 | − | 0.775540i | \(-0.717478\pi\) |
−0.456259 | + | 0.889847i | \(0.650811\pi\) | |||||||
\(270\) | −0.140069 | + | 0.0147218i | −0.00852431 | + | 0.000895941i | ||||
\(271\) | −0.828282 | + | 0.919901i | −0.0503146 | + | 0.0558800i | −0.767777 | − | 0.640718i | \(-0.778637\pi\) |
0.717462 | + | 0.696598i | \(0.245304\pi\) | |||||||
\(272\) | 1.16094 | − | 3.57300i | 0.0703922 | − | 0.216645i | ||||
\(273\) | 1.52580 | − | 0.107828i | 0.0923459 | − | 0.00652602i | ||||
\(274\) | 1.34562i | 0.0812916i | ||||||||
\(275\) | 16.0898 | + | 3.73354i | 0.970254 | + | 0.225141i | ||||
\(276\) | 5.56248 | + | 3.21150i | 0.334822 | + | 0.193310i | ||||
\(277\) | 3.33251 | + | 7.48493i | 0.200231 | + | 0.449726i | 0.985554 | − | 0.169360i | \(-0.0541700\pi\) |
−0.785323 | + | 0.619086i | \(0.787503\pi\) | |||||||
\(278\) | −0.742676 | − | 3.49402i | −0.0445427 | − | 0.209557i | ||||
\(279\) | 7.00502 | − | 2.27607i | 0.419380 | − | 0.136265i | ||||
\(280\) | 0.258651 | − | 0.268237i | 0.0154574 | − | 0.0160303i | ||||
\(281\) | −1.82047 | − | 2.50566i | −0.108600 | − | 0.149475i | 0.751257 | − | 0.660009i | \(-0.229448\pi\) |
−0.859857 | + | 0.510534i | \(0.829448\pi\) | |||||||
\(282\) | −4.69763 | − | 4.22977i | −0.279740 | − | 0.251879i | ||||
\(283\) | 0.565458 | + | 0.628004i | 0.0336130 | + | 0.0373310i | 0.759717 | − | 0.650254i | \(-0.225338\pi\) |
−0.726104 | + | 0.687585i | \(0.758671\pi\) | |||||||
\(284\) | −9.22870 | + | 4.10888i | −0.547623 | + | 0.243817i | ||||
\(285\) | 0.175977 | + | 0.304800i | 0.0104239 | + | 0.0180548i | ||||
\(286\) | −1.90291 | − | 0.235803i | −0.112522 | − | 0.0139433i | ||||
\(287\) | −8.33833 | + | 22.9622i | −0.492196 | + | 1.35541i | ||||
\(288\) | −0.587785 | + | 0.809017i | −0.0346356 | + | 0.0476718i | ||||
\(289\) | 2.82283 | − | 0.600010i | 0.166049 | − | 0.0352947i | ||||
\(290\) | −0.243346 | + | 1.14486i | −0.0142898 | + | 0.0672282i | ||||
\(291\) | −1.88162 | − | 17.9025i | −0.110303 | − | 1.04946i | ||||
\(292\) | 8.75509 | + | 3.89802i | 0.512353 | + | 0.228114i | ||||
\(293\) | 6.69874 | + | 20.6166i | 0.391345 | + | 1.20444i | 0.931772 | + | 0.363044i | \(0.118263\pi\) |
−0.540427 | + | 0.841391i | \(0.681737\pi\) | |||||||
\(294\) | 5.93085 | − | 3.71820i | 0.345894 | − | 0.216850i | ||||
\(295\) | 1.18605 | + | 0.861715i | 0.0690544 | + | 0.0501710i | ||||
\(296\) | −0.391540 | + | 0.226056i | −0.0227578 | + | 0.0131392i | ||||
\(297\) | 3.13472 | + | 1.08328i | 0.181895 | + | 0.0628585i | ||||
\(298\) | −5.52978 | + | 9.57786i | −0.320332 | + | 0.554831i | ||||
\(299\) | 0.388154 | − | 3.69304i | 0.0224475 | − | 0.213574i | ||||
\(300\) | −4.73642 | − | 1.53896i | −0.273457 | − | 0.0888516i | ||||
\(301\) | −0.961452 | + | 28.1283i | −0.0554172 | + | 1.62129i | ||||
\(302\) | −9.10422 | + | 6.61460i | −0.523889 | + | 0.380628i | ||||
\(303\) | 5.92354 | − | 13.3045i | 0.340298 | − | 0.764323i | ||||
\(304\) | 2.44435 | + | 0.519562i | 0.140193 | + | 0.0297989i | ||||
\(305\) | −0.881167 | + | 0.793407i | −0.0504555 | + | 0.0454303i | ||||
\(306\) | 3.73629 | + | 0.392700i | 0.213590 | + | 0.0224492i | ||||
\(307\) | −10.4658 | −0.597315 | −0.298658 | − | 0.954360i | \(-0.596539\pi\) | ||||
−0.298658 | + | 0.954360i | \(0.596539\pi\) | |||||||
\(308\) | −8.19332 | + | 3.14158i | −0.466858 | + | 0.179008i | ||||
\(309\) | 0.171997 | 0.00978457 | ||||||||
\(310\) | −1.03168 | − | 0.108434i | −0.0585954 | − | 0.00615862i | ||||
\(311\) | −5.43519 | + | 4.89387i | −0.308201 | + | 0.277506i | −0.808687 | − | 0.588239i | \(-0.799821\pi\) |
0.500486 | + | 0.865745i | \(0.333155\pi\) | |||||||
\(312\) | 0.565504 | + | 0.120202i | 0.0320154 | + | 0.00680508i | ||||
\(313\) | −3.60734 | + | 8.10221i | −0.203899 | + | 0.457964i | −0.986332 | − | 0.164771i | \(-0.947312\pi\) |
0.782433 | + | 0.622734i | \(0.213978\pi\) | |||||||
\(314\) | 5.98574 | − | 4.34890i | 0.337795 | − | 0.245422i | ||||
\(315\) | 0.316152 | + | 0.197229i | 0.0178132 | + | 0.0111126i | ||||
\(316\) | −11.6578 | − | 3.78783i | −0.655800 | − | 0.213082i | ||||
\(317\) | 0.470984 | − | 4.48111i | 0.0264531 | − | 0.251684i | −0.973301 | − | 0.229530i | \(-0.926281\pi\) |
0.999755 | − | 0.0221539i | \(-0.00705237\pi\) | |||||||
\(318\) | 6.05537 | − | 10.4882i | 0.339569 | − | 0.588150i | ||||
\(319\) | 16.6120 | − | 21.9937i | 0.930092 | − | 1.23141i | ||||
\(320\) | 0.121971 | − | 0.0704201i | 0.00681840 | − | 0.00393660i | ||||
\(321\) | −5.59524 | − | 4.06518i | −0.312296 | − | 0.226896i | ||||
\(322\) | −6.37758 | − | 15.7515i | −0.355408 | − | 0.877799i | ||||
\(323\) | −2.90113 | − | 8.92876i | −0.161423 | − | 0.496810i | ||||
\(324\) | −0.913545 | − | 0.406737i | −0.0507525 | − | 0.0225965i | ||||
\(325\) | 0.300961 | + | 2.86345i | 0.0166943 | + | 0.158836i | ||||
\(326\) | −0.852099 | + | 4.00881i | −0.0471934 | + | 0.222027i | ||||
\(327\) | −1.70980 | + | 0.363430i | −0.0945524 | + | 0.0200977i | ||||
\(328\) | −5.42725 | + | 7.46997i | −0.299670 | + | 0.412460i | ||||
\(329\) | 2.91636 | + | 16.4683i | 0.160784 | + | 0.907928i | ||||
\(330\) | −0.341270 | − | 0.318952i | −0.0187863 | − | 0.0175577i | ||||
\(331\) | −15.1800 | − | 26.2925i | −0.834368 | − | 1.44517i | −0.894544 | − | 0.446979i | \(-0.852500\pi\) |
0.0601767 | − | 0.998188i | \(-0.480834\pi\) | |||||||
\(332\) | −6.63805 | + | 2.95545i | −0.364310 | + | 0.162201i | ||||
\(333\) | −0.302521 | − | 0.335984i | −0.0165781 | − | 0.0184118i | ||||
\(334\) | −2.16566 | − | 1.94997i | −0.118499 | − | 0.106697i | ||||
\(335\) | −0.596511 | − | 0.821027i | −0.0325909 | − | 0.0448575i | ||||
\(336\) | 2.54272 | − | 0.731147i | 0.138717 | − | 0.0398873i | ||||
\(337\) | 33.7085 | − | 10.9525i | 1.83622 | − | 0.596623i | 0.837475 | − | 0.546476i | \(-0.184031\pi\) |
0.998742 | − | 0.0501469i | \(-0.0159690\pi\) | |||||||
\(338\) | 2.63336 | + | 12.3890i | 0.143236 | + | 0.673872i | ||||
\(339\) | −1.60053 | − | 3.59484i | −0.0869287 | − | 0.195245i | ||||
\(340\) | −0.458230 | − | 0.264559i | −0.0248510 | − | 0.0143478i | ||||
\(341\) | 20.9254 | + | 12.6050i | 1.13317 | + | 0.682601i | ||||
\(342\) | 2.49895i | 0.135128i | ||||||||
\(343\) | −18.4230 | − | 1.89506i | −0.994751 | − | 0.102324i | ||||
\(344\) | −3.28723 | + | 10.1170i | −0.177235 | + | 0.545475i | ||||
\(345\) | 0.605306 | − | 0.672261i | 0.0325886 | − | 0.0361933i | ||||
\(346\) | 19.5863 | − | 2.05860i | 1.05296 | − | 0.110671i | ||||
\(347\) | −10.3573 | + | 1.08860i | −0.556011 | + | 0.0584391i | −0.378367 | − | 0.925656i | \(-0.623514\pi\) |
−0.177644 | + | 0.984095i | \(0.556848\pi\) | |||||||
\(348\) | −5.56071 | + | 6.17580i | −0.298086 | + | 0.331057i | ||||
\(349\) | 0.402461 | − | 1.23865i | 0.0215432 | − | 0.0663032i | −0.939707 | − | 0.341981i | \(-0.888902\pi\) |
0.961250 | + | 0.275678i | \(0.0889022\pi\) | |||||||
\(350\) | 7.37615 | + | 10.9182i | 0.394272 | + | 0.583601i | ||||
\(351\) | 0.578138i | 0.0308587i | ||||||||
\(352\) | −3.30432 | + | 0.285377i | −0.176121 | + | 0.0152107i | ||||
\(353\) | −12.0120 | − | 6.93516i | −0.639337 | − | 0.369121i | 0.145022 | − | 0.989428i | \(-0.453675\pi\) |
−0.784359 | + | 0.620307i | \(0.787008\pi\) | |||||||
\(354\) | 4.23381 | + | 9.50930i | 0.225025 | + | 0.505413i | ||||
\(355\) | 0.295812 | + | 1.39169i | 0.0157001 | + | 0.0738631i | ||||
\(356\) | 10.8462 | − | 3.52414i | 0.574847 | − | 0.186779i | ||||
\(357\) | −7.15516 | − | 6.89945i | −0.378691 | − | 0.365158i | ||||
\(358\) | −0.718755 | − | 0.989281i | −0.0379874 | − | 0.0522851i | ||||
\(359\) | 20.3653 | + | 18.3370i | 1.07484 | + | 0.967788i | 0.999568 | − | 0.0293748i | \(-0.00935164\pi\) |
0.0752695 | + | 0.997163i | \(0.476018\pi\) | |||||||
\(360\) | 0.0942405 | + | 0.104665i | 0.00496691 | + | 0.00551631i | ||||
\(361\) | −11.6525 | + | 5.18802i | −0.613289 | + | 0.273054i | ||||
\(362\) | −5.45024 | − | 9.44009i | −0.286458 | − | 0.496160i | ||||
\(363\) | 4.09791 | + | 10.2082i | 0.215085 | + | 0.535791i | ||||
\(364\) | −0.984080 | − | 1.17102i | −0.0515798 | − | 0.0613782i | ||||
\(365\) | 0.793369 | − | 1.09198i | 0.0415269 | − | 0.0571568i | ||||
\(366\) | −8.23498 | + | 1.75040i | −0.430450 | + | 0.0914949i | ||||
\(367\) | −6.35224 | + | 29.8849i | −0.331584 | + | 1.55998i | 0.424451 | + | 0.905451i | \(0.360467\pi\) |
−0.756035 | + | 0.654531i | \(0.772866\pi\) | |||||||
\(368\) | −0.671386 | − | 6.38781i | −0.0349984 | − | 0.332988i | ||||
\(369\) | −8.43512 | − | 3.75556i | −0.439115 | − | 0.195507i | ||||
\(370\) | 0.0196768 | + | 0.0605589i | 0.00102295 | + | 0.00314831i | ||||
\(371\) | −29.7000 | + | 12.0251i | −1.54195 | + | 0.624312i | ||||
\(372\) | −5.95883 | − | 4.32934i | −0.308951 | − | 0.224466i | ||||
\(373\) | −7.87007 | + | 4.54379i | −0.407497 | + | 0.235268i | −0.689714 | − | 0.724082i | \(-0.742264\pi\) |
0.282217 | + | 0.959351i | \(0.408930\pi\) | |||||||
\(374\) | 7.13546 | + | 10.2147i | 0.368966 | + | 0.528191i | ||||
\(375\) | −0.702804 | + | 1.21729i | −0.0362926 | + | 0.0628607i | ||||
\(376\) | −0.660754 | + | 6.28666i | −0.0340758 | + | 0.324210i | ||||
\(377\) | 4.56938 | + | 1.48468i | 0.235335 | + | 0.0764650i | ||||
\(378\) | 1.24383 | + | 2.33514i | 0.0639758 | + | 0.120107i | ||||
\(379\) | 29.2277 | − | 21.2351i | 1.50132 | − | 1.09078i | 0.531473 | − | 0.847075i | \(-0.321639\pi\) |
0.969851 | − | 0.243700i | \(-0.0783613\pi\) | |||||||
\(380\) | 0.143152 | − | 0.321525i | 0.00734355 | − | 0.0164939i | ||||
\(381\) | 3.71552 | + | 0.789759i | 0.190352 | + | 0.0404606i | ||||
\(382\) | 2.66807 | − | 2.40234i | 0.136511 | − | 0.122915i | ||||
\(383\) | 22.4924 | + | 2.36405i | 1.14931 | + | 0.120797i | 0.659967 | − | 0.751295i | \(-0.270570\pi\) |
0.489342 | + | 0.872092i | \(0.337237\pi\) | |||||||
\(384\) | 1.00000 | 0.0510310 | ||||||||
\(385\) | 0.192873 | + | 1.22072i | 0.00982970 | + | 0.0622139i | ||||
\(386\) | −5.27444 | −0.268462 | ||||||||
\(387\) | −10.5794 | − | 1.11194i | −0.537782 | − | 0.0565232i | ||||
\(388\) | −13.3774 | + | 12.0451i | −0.679135 | + | 0.611496i | ||||
\(389\) | −25.1567 | − | 5.34722i | −1.27549 | − | 0.271115i | −0.480103 | − | 0.877212i | \(-0.659401\pi\) |
−0.795390 | + | 0.606097i | \(0.792734\pi\) | |||||||
\(390\) | 0.0331186 | − | 0.0743855i | 0.00167702 | − | 0.00376666i | ||||
\(391\) | −19.5219 | + | 14.1835i | −0.987265 | + | 0.717290i | ||||
\(392\) | −6.49415 | − | 2.61265i | −0.328004 | − | 0.131959i | ||||
\(393\) | 11.7576 | + | 3.82027i | 0.593092 | + | 0.192707i | ||||
\(394\) | −0.418048 | + | 3.97746i | −0.0210610 | + | 0.200382i | ||||
\(395\) | −0.863187 | + | 1.49508i | −0.0434317 | + | 0.0752259i | ||||
\(396\) | −0.966149 | − | 3.17278i | −0.0485508 | − | 0.159438i | ||||
\(397\) | −13.0644 | + | 7.54272i | −0.655682 | + | 0.378558i | −0.790630 | − | 0.612295i | \(-0.790247\pi\) |
0.134948 | + | 0.990853i | \(0.456913\pi\) | |||||||
\(398\) | −11.3559 | − | 8.25057i | −0.569222 | − | 0.413564i | ||||
\(399\) | 4.06666 | − | 5.21303i | 0.203588 | − | 0.260978i | ||||
\(400\) | 1.53896 | + | 4.73642i | 0.0769478 | + | 0.236821i | ||||
\(401\) | −13.7906 | − | 6.13996i | −0.688669 | − | 0.306615i | 0.0324036 | − | 0.999475i | \(-0.489684\pi\) |
−0.721072 | + | 0.692860i | \(0.756350\pi\) | |||||||
\(402\) | −0.753196 | − | 7.16618i | −0.0375660 | − | 0.357417i | ||||
\(403\) | −0.885347 | + | 4.16523i | −0.0441023 | + | 0.207485i | ||||
\(404\) | −14.2453 | + | 3.02794i | −0.708731 | + | 0.150645i | ||||
\(405\) | −0.0827838 | + | 0.113942i | −0.00411356 | + | 0.00566183i | ||||
\(406\) | 21.6503 | − | 3.83402i | 1.07448 | − | 0.190279i | ||||
\(407\) | 0.184401 | − | 1.48810i | 0.00914042 | − | 0.0737625i | ||||
\(408\) | −1.87844 | − | 3.25355i | −0.0929965 | − | 0.161075i | ||||
\(409\) | 15.7133 | − | 6.99600i | 0.776971 | − | 0.345930i | 0.0203583 | − | 0.999793i | \(-0.493519\pi\) |
0.756613 | + | 0.653863i | \(0.226853\pi\) | |||||||
\(410\) | 0.870159 | + | 0.966409i | 0.0429741 | + | 0.0477276i | ||||
\(411\) | 0.999987 | + | 0.900393i | 0.0493257 | + | 0.0444131i | ||||
\(412\) | −0.101097 | − | 0.139149i | −0.00498071 | − | 0.00685536i | ||||
\(413\) | 6.64283 | − | 26.7271i | 0.326872 | − | 1.31515i | ||||
\(414\) | 6.10863 | − | 1.98482i | 0.300223 | − | 0.0975484i | ||||
\(415\) | 0.212773 | + | 1.00102i | 0.0104446 | + | 0.0491380i | ||||
\(416\) | −0.235150 | − | 0.528156i | −0.0115292 | − | 0.0258950i | ||||
\(417\) | −3.09351 | − | 1.78604i | −0.151490 | − | 0.0874626i | ||||
\(418\) | −6.26116 | + | 5.43050i | −0.306243 | + | 0.265614i | ||||
\(419\) | 6.87524i | 0.335878i | 0.985797 | + | 0.167939i | \(0.0537111\pi\) | ||||
−0.985797 | + | 0.167939i | \(0.946289\pi\) | |||||||
\(420\) | −0.0262679 | − | 0.371701i | −0.00128174 | − | 0.0181372i | ||||
\(421\) | −7.27930 | + | 22.4034i | −0.354771 | + | 1.09187i | 0.601370 | + | 0.798970i | \(0.294622\pi\) |
−0.956142 | + | 0.292904i | \(0.905378\pi\) | |||||||
\(422\) | 9.96543 | − | 11.0677i | 0.485110 | − | 0.538769i | ||||
\(423\) | −6.28666 | + | 0.660754i | −0.305668 | + | 0.0321270i | ||||
\(424\) | −12.0444 | + | 1.26592i | −0.584928 | + | 0.0614784i | ||||
\(425\) | 12.5193 | − | 13.9041i | 0.607277 | − | 0.674449i | ||||
\(426\) | −3.12171 | + | 9.60764i | −0.151247 | + | 0.465492i | ||||
\(427\) | 20.0274 | + | 9.74969i | 0.969192 | + | 0.471821i | ||||
\(428\) | 6.91609i | 0.334302i | ||||||||
\(429\) | −1.44853 | + | 1.25636i | −0.0699358 | + | 0.0606575i | ||||
\(430\) | 1.29749 | + | 0.749107i | 0.0625706 | + | 0.0361252i | ||||
\(431\) | −0.470720 | − | 1.05725i | −0.0226738 | − | 0.0509261i | 0.901854 | − | 0.432042i | \(-0.142207\pi\) |
−0.924527 | + | 0.381116i | \(0.875540\pi\) | |||||||
\(432\) | 0.207912 | + | 0.978148i | 0.0100032 | + | 0.0470611i | ||||
\(433\) | −18.1382 | + | 5.89346i | −0.871667 | + | 0.283222i | −0.710493 | − | 0.703704i | \(-0.751528\pi\) |
−0.161174 | + | 0.986926i | \(0.551528\pi\) | |||||||
\(434\) | 5.38527 | + | 18.7284i | 0.258501 | + | 0.898994i | ||||
\(435\) | 0.687963 | + | 0.946899i | 0.0329853 | + | 0.0454003i | ||||
\(436\) | 1.29902 | + | 1.16964i | 0.0622117 | + | 0.0560157i | ||||
\(437\) | −10.7401 | − | 11.9281i | −0.513767 | − | 0.570596i | ||||
\(438\) | 8.75509 | − | 3.89802i | 0.418334 | − | 0.186254i | ||||
\(439\) | 1.26190 | + | 2.18567i | 0.0602270 | + | 0.104316i | 0.894567 | − | 0.446934i | \(-0.147484\pi\) |
−0.834340 | + | 0.551250i | \(0.814151\pi\) | |||||||
\(440\) | −0.0574440 | + | 0.463568i | −0.00273853 | + | 0.0220998i | ||||
\(441\) | 1.20535 | − | 6.89544i | 0.0573976 | − | 0.328354i | ||||
\(442\) | −1.27667 | + | 1.75718i | −0.0607248 | + | 0.0835805i | ||||
\(443\) | −14.2922 | + | 3.03789i | −0.679041 | + | 0.144335i | −0.534506 | − | 0.845165i | \(-0.679502\pi\) |
−0.144536 | + | 0.989500i | \(0.546169\pi\) | |||||||
\(444\) | −0.0939992 | + | 0.442232i | −0.00446101 | + | 0.0209874i | ||||
\(445\) | −0.167893 | − | 1.59739i | −0.00795889 | − | 0.0757237i | ||||
\(446\) | −10.2278 | − | 4.55373i | −0.484303 | − | 0.215625i | ||||
\(447\) | 3.41759 | + | 10.5183i | 0.161647 | + | 0.497497i | ||||
\(448\) | −2.08608 | − | 1.62735i | −0.0985582 | − | 0.0768849i | ||||
\(449\) | 30.7514 | + | 22.3422i | 1.45125 | + | 1.05439i | 0.985538 | + | 0.169456i | \(0.0542009\pi\) |
0.465710 | + | 0.884938i | \(0.345799\pi\) | |||||||
\(450\) | −4.31295 | + | 2.49008i | −0.203314 | + | 0.117384i | ||||
\(451\) | −8.92083 | − | 29.2955i | −0.420065 | − | 1.37947i | ||||
\(452\) | −1.96752 | + | 3.40785i | −0.0925445 | + | 0.160292i | ||||
\(453\) | −1.17630 | + | 11.1918i | −0.0552676 | + | 0.525836i | ||||
\(454\) | −7.71247 | − | 2.50593i | −0.361964 | − | 0.117609i | ||||
\(455\) | −0.190139 | + | 0.101279i | −0.00891386 | + | 0.00474803i | ||||
\(456\) | 2.02170 | − | 1.46885i | 0.0946746 | − | 0.0687851i | ||||
\(457\) | −15.7826 | + | 35.4484i | −0.738280 | + | 1.65820i | 0.0144674 | + | 0.999895i | \(0.495395\pi\) |
−0.752748 | + | 0.658309i | \(0.771272\pi\) | |||||||
\(458\) | −22.2142 | − | 4.72176i | −1.03800 | − | 0.220634i | ||||
\(459\) | 2.79190 | − | 2.51384i | 0.130315 | − | 0.117336i | ||||
\(460\) | −0.899661 | − | 0.0945581i | −0.0419469 | − | 0.00440880i | ||||
\(461\) | −30.8429 | −1.43650 | −0.718248 | − | 0.695787i | \(-0.755056\pi\) | ||||
−0.718248 | + | 0.695787i | \(0.755056\pi\) | |||||||
\(462\) | −3.14775 | + | 8.19095i | −0.146447 | + | 0.381078i | ||||
\(463\) | 19.2980 | 0.896853 | 0.448426 | − | 0.893820i | \(-0.351985\pi\) | ||||
0.448426 | + | 0.893820i | \(0.351985\pi\) | |||||||
\(464\) | 8.26483 | + | 0.868669i | 0.383685 | + | 0.0403269i | ||||
\(465\) | −0.770909 | + | 0.694130i | −0.0357501 | + | 0.0321895i | ||||
\(466\) | −21.4335 | − | 4.55584i | −0.992889 | − | 0.211045i | ||||
\(467\) | 0.726468 | − | 1.63167i | 0.0336169 | − | 0.0755049i | −0.895957 | − | 0.444142i | \(-0.853509\pi\) |
0.929574 | + | 0.368637i | \(0.120175\pi\) | |||||||
\(468\) | 0.467724 | − | 0.339821i | 0.0216205 | − | 0.0157082i | ||||
\(469\) | −10.0906 | + | 16.1750i | −0.465942 | + | 0.746890i | ||||
\(470\) | 0.846717 | + | 0.275115i | 0.0390562 | + | 0.0126901i | ||||
\(471\) | 0.773384 | − | 7.35825i | 0.0356356 | − | 0.339050i | ||||
\(472\) | 5.20461 | − | 9.01465i | 0.239562 | − | 0.414933i | ||||
\(473\) | −20.2042 | − | 28.9232i | −0.928992 | − | 1.32989i | ||||
\(474\) | −10.6155 | + | 6.12884i | −0.487585 | + | 0.281507i | ||||
\(475\) | 10.0684 | + | 7.31510i | 0.461969 | + | 0.335640i | ||||
\(476\) | −1.37607 | + | 9.84404i | −0.0630722 | + | 0.451201i | ||||
\(477\) | −3.74243 | − | 11.5180i | −0.171354 | − | 0.527373i | ||||
\(478\) | 3.59649 | + | 1.60126i | 0.164500 | + | 0.0732399i | ||||
\(479\) | 0.381529 | + | 3.63000i | 0.0174325 | + | 0.165859i | 0.999775 | − | 0.0212349i | \(-0.00675979\pi\) |
−0.982342 | + | 0.187094i | \(0.940093\pi\) | |||||||
\(480\) | 0.0292823 | − | 0.137762i | 0.00133655 | − | 0.00628797i | ||||
\(481\) | 0.255671 | − | 0.0543445i | 0.0116576 | − | 0.00247790i | ||||
\(482\) | −14.8013 | + | 20.3723i | −0.674183 | + | 0.927933i | ||||
\(483\) | −15.9731 | − | 5.80037i | −0.726801 | − | 0.263926i | ||||
\(484\) | 5.84991 | − | 9.31550i | 0.265905 | − | 0.423432i | ||||
\(485\) | 1.26764 | + | 2.19561i | 0.0575604 | + | 0.0996976i | ||||
\(486\) | −0.913545 | + | 0.406737i | −0.0414393 | + | 0.0184499i | ||||
\(487\) | 9.06566 | + | 10.0684i | 0.410804 | + | 0.456245i | 0.912668 | − | 0.408702i | \(-0.134019\pi\) |
−0.501863 | + | 0.864947i | \(0.667352\pi\) | |||||||
\(488\) | 6.25651 | + | 5.63338i | 0.283219 | + | 0.255011i | ||||
\(489\) | 2.40896 | + | 3.31565i | 0.108937 | + | 0.149939i | ||||
\(490\) | −0.550089 | + | 0.818146i | −0.0248505 | + | 0.0369601i | ||||
\(491\) | −8.63941 | + | 2.80711i | −0.389891 | + | 0.126683i | −0.497401 | − | 0.867521i | \(-0.665712\pi\) |
0.107510 | + | 0.994204i | \(0.465712\pi\) | |||||||
\(492\) | 1.91973 | + | 9.03162i | 0.0865481 | + | 0.407177i | ||||
\(493\) | −12.6987 | − | 28.5218i | −0.571921 | − | 1.28456i | ||||
\(494\) | −1.25118 | − | 0.722370i | −0.0562933 | − | 0.0325010i | ||||
\(495\) | −0.465382 | + | 0.0401926i | −0.0209173 | + | 0.00180652i | ||||
\(496\) | 7.36552i | 0.330721i | ||||||||
\(497\) | 22.1471 | − | 14.9622i | 0.993434 | − | 0.671148i | ||||
\(498\) | −2.24540 | + | 6.91062i | −0.100619 | + | 0.309672i | ||||
\(499\) | −3.46666 | + | 3.85011i | −0.155189 | + | 0.172355i | −0.815726 | − | 0.578439i | \(-0.803662\pi\) |
0.660537 | + | 0.750794i | \(0.270329\pi\) | |||||||
\(500\) | 1.39791 | − | 0.146926i | 0.0625163 | − | 0.00657073i | ||||
\(501\) | −2.89821 | + | 0.304615i | −0.129483 | + | 0.0136092i | ||||
\(502\) | −1.99393 | + | 2.21449i | −0.0889937 | + | 0.0988375i | ||||
\(503\) | 3.29156 | − | 10.1304i | 0.146764 | − | 0.451692i | −0.850470 | − | 0.526023i | \(-0.823682\pi\) |
0.997234 | + | 0.0743318i | \(0.0236824\pi\) | |||||||
\(504\) | 1.15806 | − | 2.37884i | 0.0515843 | − | 0.105962i | ||||
\(505\) | 2.05114i | 0.0912743i | ||||||||
\(506\) | 18.2477 | + | 10.9921i | 0.811210 | + | 0.488656i | ||||
\(507\) | 10.9689 | + | 6.33288i | 0.487144 | + | 0.281253i | ||||
\(508\) | −1.54500 | − | 3.47013i | −0.0685484 | − | 0.153962i | ||||
\(509\) | −2.96029 | − | 13.9271i | −0.131213 | − | 0.617307i | −0.993780 | − | 0.111364i | \(-0.964478\pi\) |
0.862567 | − | 0.505943i | \(-0.168855\pi\) | |||||||
\(510\) | −0.503222 | + | 0.163507i | −0.0222830 | + | 0.00724020i | ||||
\(511\) | −24.6073 | − | 6.11597i | −1.08856 | − | 0.270555i | ||||
\(512\) | −0.587785 | − | 0.809017i | −0.0259767 | − | 0.0357538i | ||||
\(513\) | 1.85708 | + | 1.67213i | 0.0819923 | + | 0.0738262i | ||||
\(514\) | −2.50194 | − | 2.77868i | −0.110356 | − | 0.122562i | ||||
\(515\) | −0.0221298 | + | 0.00985283i | −0.000975156 | + | 0.000434167i | ||||
\(516\) | 5.31885 | + | 9.21251i | 0.234149 | + | 0.405558i | ||||
\(517\) | −15.3171 | − | 14.3154i | −0.673646 | − | 0.629591i | ||||
\(518\) | 0.915754 | − | 0.769563i | 0.0402359 | − | 0.0338126i | ||||
\(519\) | 11.5759 | − | 15.9329i | 0.508127 | − | 0.699377i | ||||
\(520\) | −0.0796457 | + | 0.0169292i | −0.00349270 | + | 0.000742396i | ||||
\(521\) | −0.0567578 | + | 0.267024i | −0.00248660 | + | 0.0116986i | −0.979373 | − | 0.202059i | \(-0.935237\pi\) |
0.976887 | + | 0.213757i | \(0.0685702\pi\) | |||||||
\(522\) | 0.868669 | + | 8.26483i | 0.0380206 | + | 0.361742i | ||||
\(523\) | 30.7026 | + | 13.6697i | 1.34253 | + | 0.597733i | 0.947152 | − | 0.320785i | \(-0.103947\pi\) |
0.395378 | + | 0.918518i | \(0.370613\pi\) | |||||||
\(524\) | −3.82027 | − | 11.7576i | −0.166889 | − | 0.513633i | ||||
\(525\) | 13.0494 | + | 1.82414i | 0.569522 | + | 0.0796121i | ||||
\(526\) | −6.31869 | − | 4.59079i | −0.275508 | − | 0.200168i | ||||
\(527\) | 23.9641 | − | 13.8357i | 1.04389 | − | 0.602691i | ||||
\(528\) | −1.99895 | + | 2.64655i | −0.0869930 | + | 0.115176i | ||||
\(529\) | −9.12746 | + | 15.8092i | −0.396846 | + | 0.687357i | ||||
\(530\) | −0.178292 | + | 1.69634i | −0.00774451 | + | 0.0736841i | ||||
\(531\) | 9.89976 | + | 3.21663i | 0.429613 | + | 0.139590i | ||||
\(532\) | −6.60775 | − | 0.225860i | −0.286482 | − | 0.00979225i | ||||
\(533\) | 4.31867 | − | 3.13770i | 0.187063 | − | 0.135909i | ||||
\(534\) | 4.63857 | − | 10.4184i | 0.200731 | − | 0.450849i | ||||
\(535\) | 0.952778 | + | 0.202519i | 0.0411922 | + | 0.00875567i | ||||
\(536\) | −5.35484 | + | 4.82152i | −0.231294 | + | 0.208258i | ||||
\(537\) | −1.21612 | − | 0.127819i | −0.0524794 | − | 0.00551581i | ||||
\(538\) | 17.9355 | 0.773255 | ||||||||
\(539\) | 19.8960 | − | 11.9645i | 0.856981 | − | 0.515349i | ||||
\(540\) | 0.140840 | 0.00606080 | ||||||||
\(541\) | −34.4696 | − | 3.62291i | −1.48197 | − | 0.155761i | −0.671263 | − | 0.741219i | \(-0.734248\pi\) |
−0.810703 | + | 0.585458i | \(0.800915\pi\) | |||||||
\(542\) | 0.919901 | − | 0.828282i | 0.0395131 | − | 0.0355778i | ||||
\(543\) | −10.6623 | − | 2.26634i | −0.457562 | − | 0.0972578i | ||||
\(544\) | −1.52806 | + | 3.43208i | −0.0655150 | + | 0.147149i | ||||
\(545\) | 0.199171 | − | 0.144706i | 0.00853155 | − | 0.00619853i | ||||
\(546\) | −1.52872 | − | 0.0522531i | −0.0654231 | − | 0.00223623i | ||||
\(547\) | −22.6628 | − | 7.36359i | −0.968992 | − | 0.314844i | −0.218583 | − | 0.975818i | \(-0.570143\pi\) |
−0.750409 | + | 0.660974i | \(0.770143\pi\) | |||||||
\(548\) | 0.140655 | − | 1.33824i | 0.00600849 | − | 0.0571670i | ||||
\(549\) | −4.20948 | + | 7.29103i | −0.179656 | + | 0.311174i | ||||
\(550\) | −15.6114 | − | 5.39493i | −0.665674 | − | 0.230041i | ||||
\(551\) | 17.9849 | − | 10.3836i | 0.766183 | − | 0.442356i | ||||
\(552\) | −5.19632 | − | 3.77534i | −0.221170 | − | 0.160689i | ||||
\(553\) | 32.1185 | + | 4.48976i | 1.36582 | + | 0.190924i | ||||
\(554\) | −2.53186 | − | 7.79227i | −0.107569 | − | 0.331062i | ||||
\(555\) | 0.0581704 | + | 0.0258991i | 0.00246920 | + | 0.00109936i | ||||
\(556\) | 0.373383 | + | 3.55251i | 0.0158350 | + | 0.150660i | ||||
\(557\) | 0.625254 | − | 2.94159i | 0.0264929 | − | 0.124639i | −0.962914 | − | 0.269809i | \(-0.913039\pi\) |
0.989407 | + | 0.145170i | \(0.0463728\pi\) | |||||||
\(558\) | −7.20456 | + | 1.53138i | −0.304993 | + | 0.0648284i | ||||
\(559\) | 3.61491 | − | 4.97550i | 0.152894 | − | 0.210441i | ||||
\(560\) | −0.285273 | + | 0.239732i | −0.0120550 | + | 0.0101305i | ||||
\(561\) | 12.3656 | + | 1.53230i | 0.522075 | + | 0.0646939i | ||||
\(562\) | 1.54858 | + | 2.68222i | 0.0653230 | + | 0.113143i | ||||
\(563\) | −31.0278 | + | 13.8145i | −1.30767 | + | 0.582211i | −0.937897 | − | 0.346913i | \(-0.887230\pi\) |
−0.369769 | + | 0.929124i | \(0.620563\pi\) | |||||||
\(564\) | 4.22977 | + | 4.69763i | 0.178105 | + | 0.197806i | ||||
\(565\) | 0.411860 | + | 0.370840i | 0.0173271 | + | 0.0156014i | ||||
\(566\) | −0.496716 | − | 0.683671i | −0.0208785 | − | 0.0287368i | ||||
\(567\) | 2.56763 | + | 0.638168i | 0.107830 | + | 0.0268005i | ||||
\(568\) | 9.60764 | − | 3.12171i | 0.403128 | − | 0.130984i | ||||
\(569\) | 9.30341 | + | 43.7691i | 0.390019 | + | 1.83490i | 0.534218 | + | 0.845347i | \(0.320606\pi\) |
−0.144199 | + | 0.989549i | \(0.546060\pi\) | |||||||
\(570\) | −0.143152 | − | 0.321525i | −0.00599599 | − | 0.0134672i | ||||
\(571\) | 40.5545 | + | 23.4141i | 1.69715 | + | 0.979851i | 0.948441 | + | 0.316952i | \(0.102660\pi\) |
0.748709 | + | 0.662898i | \(0.230674\pi\) | |||||||
\(572\) | 1.86784 | + | 0.433420i | 0.0780983 | + | 0.0181222i | ||||
\(573\) | − | 3.59025i | − | 0.149985i | ||||||
\(574\) | 10.6929 | − | 21.9648i | 0.446311 | − | 0.916792i | ||||
\(575\) | 9.88471 | − | 30.4220i | 0.412221 | − | 1.26869i | ||||
\(576\) | 0.669131 | − | 0.743145i | 0.0278804 | − | 0.0309644i | ||||
\(577\) | 31.2083 | − | 3.28013i | 1.29922 | − | 0.136554i | 0.570462 | − | 0.821324i | \(-0.306764\pi\) |
0.728759 | + | 0.684771i | \(0.240098\pi\) | |||||||
\(578\) | −2.87008 | + | 0.301658i | −0.119380 | + | 0.0125473i | ||||
\(579\) | −3.52929 | + | 3.91967i | −0.146672 | + | 0.162896i | ||||
\(580\) | 0.361683 | − | 1.11315i | 0.0150181 | − | 0.0462209i | ||||
\(581\) | 15.9300 | − | 10.7621i | 0.660890 | − | 0.446487i | ||||
\(582\) | 18.0011i | 0.746168i | ||||||||
\(583\) | 20.7258 | − | 34.4066i | 0.858376 | − | 1.42497i | ||||
\(584\) | −8.29967 | − | 4.79182i | −0.343443 | − | 0.198287i | ||||
\(585\) | −0.0331186 | − | 0.0743855i | −0.00136928 | − | 0.00307546i | ||||
\(586\) | −4.50702 | − | 21.2039i | −0.186183 | − | 0.875924i | ||||
\(587\) | 31.2526 | − | 10.1546i | 1.28993 | − | 0.419124i | 0.417864 | − | 0.908510i | \(-0.362779\pi\) |
0.872068 | + | 0.489386i | \(0.162779\pi\) | |||||||
\(588\) | −6.28702 | + | 3.07789i | −0.259272 | + | 0.126930i | ||||
\(589\) | 10.8188 | + | 14.8908i | 0.445782 | + | 0.613566i | ||||
\(590\) | −1.08948 | − | 0.980970i | −0.0448531 | − | 0.0403859i | ||||
\(591\) | 2.67610 | + | 2.97211i | 0.110080 | + | 0.122256i | ||||
\(592\) | 0.413024 | − | 0.183890i | 0.0169752 | − | 0.00755784i | ||||
\(593\) | 3.30091 | + | 5.71734i | 0.135552 | + | 0.234783i | 0.925808 | − | 0.377994i | \(-0.123386\pi\) |
−0.790256 | + | 0.612777i | \(0.790053\pi\) | |||||||
\(594\) | −3.00432 | − | 1.40502i | −0.123269 | − | 0.0576486i | ||||
\(595\) | 1.31585 | + | 0.477828i | 0.0539444 | + | 0.0195890i | ||||
\(596\) | 6.50065 | − | 8.94737i | 0.266277 | − | 0.366499i | ||||
\(597\) | −13.7300 | + | 2.91840i | −0.561930 | + | 0.119442i | ||||
\(598\) | −0.772055 | + | 3.63223i | −0.0315717 | + | 0.148533i | ||||
\(599\) | −3.17981 | − | 30.2539i | −0.129924 | − | 1.23614i | −0.844104 | − | 0.536179i | \(-0.819867\pi\) |
0.714181 | − | 0.699961i | \(-0.246800\pi\) | |||||||
\(600\) | 4.54961 | + | 2.02562i | 0.185737 | + | 0.0826954i | ||||
\(601\) | −0.619773 | − | 1.90747i | −0.0252811 | − | 0.0778072i | 0.937620 | − | 0.347662i | \(-0.113024\pi\) |
−0.962901 | + | 0.269855i | \(0.913024\pi\) | |||||||
\(602\) | 3.89639 | − | 27.8737i | 0.158805 | − | 1.13605i | ||||
\(603\) | −5.82950 | − | 4.23538i | −0.237395 | − | 0.172478i | ||||
\(604\) | 9.74576 | − | 5.62672i | 0.396549 | − | 0.228948i | ||||
\(605\) | −1.11203 | − | 1.07868i | −0.0452104 | − | 0.0438545i | ||||
\(606\) | −7.28178 | + | 12.6124i | −0.295802 | + | 0.512345i | ||||
\(607\) | 1.40496 | − | 13.3673i | 0.0570254 | − | 0.542560i | −0.928295 | − | 0.371845i | \(-0.878725\pi\) |
0.985320 | − | 0.170716i | \(-0.0546080\pi\) | |||||||
\(608\) | −2.37665 | − | 0.772219i | −0.0963857 | − | 0.0313176i | ||||
\(609\) | 11.6376 | − | 18.6548i | 0.471580 | − | 0.755929i | ||||
\(610\) | 0.959274 | − | 0.696953i | 0.0388399 | − | 0.0282188i | ||||
\(611\) | 1.48645 | − | 3.33862i | 0.0601354 | − | 0.135066i | ||||
\(612\) | −3.67478 | − | 0.781098i | −0.148544 | − | 0.0315740i | ||||
\(613\) | −15.0361 | + | 13.5385i | −0.607300 | + | 0.546816i | −0.914374 | − | 0.404870i | \(-0.867317\pi\) |
0.307074 | + | 0.951686i | \(0.400650\pi\) | |||||||
\(614\) | 10.4085 | + | 1.09398i | 0.420052 | + | 0.0441492i | ||||
\(615\) | 1.30043 | 0.0524385 | ||||||||
\(616\) | 8.47682 | − | 2.26794i | 0.341541 | − | 0.0913778i | ||||
\(617\) | −0.994760 | −0.0400475 | −0.0200238 | − | 0.999800i | \(-0.506374\pi\) | ||||
−0.0200238 | + | 0.999800i | \(0.506374\pi\) | |||||||
\(618\) | −0.171055 | − | 0.0179786i | −0.00688084 | − | 0.000723205i | ||||
\(619\) | 33.8469 | − | 30.4759i | 1.36042 | − | 1.22493i | 0.410726 | − | 0.911759i | \(-0.365275\pi\) |
0.949697 | − | 0.313171i | \(-0.101391\pi\) | |||||||
\(620\) | 1.01469 | + | 0.215679i | 0.0407510 | + | 0.00866189i | ||||
\(621\) | 2.61247 | − | 5.86770i | 0.104835 | − | 0.235463i | ||||
\(622\) | 5.91697 | − | 4.29893i | 0.237249 | − | 0.172371i | ||||
\(623\) | −26.6308 | + | 14.1851i | −1.06694 | + | 0.568314i | ||||
\(624\) | −0.549842 | − | 0.178655i | −0.0220113 | − | 0.00715190i | ||||
\(625\) | −2.58215 | + | 24.5675i | −0.103286 | + | 0.982701i | ||||
\(626\) | 4.43449 | − | 7.68075i | 0.177238 | − | 0.306985i | ||||
\(627\) | −0.153890 | + | 8.28666i | −0.00614578 | + | 0.330937i | ||||
\(628\) | −6.40754 | + | 3.69939i | −0.255689 | + | 0.147622i | ||||
\(629\) | −1.37414 | − | 0.998368i | −0.0547904 | − | 0.0398076i | ||||
\(630\) | −0.293804 | − | 0.229196i | −0.0117054 | − | 0.00913138i | ||||
\(631\) | 3.56477 | + | 10.9712i | 0.141911 | + | 0.436758i | 0.996601 | − | 0.0823815i | \(-0.0262526\pi\) |
−0.854690 | + | 0.519139i | \(0.826253\pi\) | |||||||
\(632\) | 11.1980 | + | 4.98565i | 0.445431 | + | 0.198319i | ||||
\(633\) | −1.55675 | − | 14.8115i | −0.0618754 | − | 0.588705i | ||||
\(634\) | −0.936807 | + | 4.40733i | −0.0372054 | + | 0.175038i | ||||
\(635\) | −0.523295 | + | 0.111230i | −0.0207663 | + | 0.00441402i | ||||
\(636\) | −7.11852 | + | 9.79780i | −0.282268 | + | 0.388508i | ||||
\(637\) | 3.10400 | + | 2.59676i | 0.122985 | + | 0.102887i | ||||
\(638\) | −18.8199 | + | 20.1368i | −0.745088 | + | 0.797225i | ||||
\(639\) | 5.05104 | + | 8.74865i | 0.199816 | + | 0.346091i | ||||
\(640\) | −0.128664 | + | 0.0572849i | −0.00508589 | + | 0.00226438i | ||||
\(641\) | −5.47191 | − | 6.07717i | −0.216127 | − | 0.240034i | 0.625326 | − | 0.780364i | \(-0.284966\pi\) |
−0.841453 | + | 0.540330i | \(0.818299\pi\) | |||||||
\(642\) | 5.13966 | + | 4.62777i | 0.202846 | + | 0.182643i | ||||
\(643\) | 12.2757 | + | 16.8961i | 0.484108 | + | 0.666317i | 0.979288 | − | 0.202473i | \(-0.0648979\pi\) |
−0.495180 | + | 0.868790i | \(0.664898\pi\) | |||||||
\(644\) | 4.69616 | + | 16.3319i | 0.185054 | + | 0.643566i | ||||
\(645\) | 1.42489 | − | 0.462974i | 0.0561048 | − | 0.0182296i | ||||
\(646\) | 1.95193 | + | 9.18310i | 0.0767976 | + | 0.361304i | ||||
\(647\) | −16.4538 | − | 36.9559i | −0.646867 | − | 1.45289i | −0.877369 | − | 0.479816i | \(-0.840703\pi\) |
0.230502 | − | 0.973072i | \(-0.425963\pi\) | |||||||
\(648\) | 0.866025 | + | 0.500000i | 0.0340207 | + | 0.0196419i | ||||
\(649\) | 13.4539 | + | 31.7941i | 0.528114 | + | 1.24803i | ||||
\(650\) | − | 2.87922i | − | 0.112932i | ||||||
\(651\) | 17.5214 | + | 8.52974i | 0.686718 | + | 0.334307i | ||||
\(652\) | 1.26647 | − | 3.89778i | 0.0495986 | − | 0.152649i | ||||
\(653\) | −10.6891 | + | 11.8714i | −0.418296 | + | 0.464564i | −0.915058 | − | 0.403322i | \(-0.867855\pi\) |
0.496762 | + | 0.867887i | \(0.334522\pi\) | |||||||
\(654\) | 1.73843 | − | 0.182716i | 0.0679779 | − | 0.00714476i | ||||
\(655\) | −1.73162 | + | 0.182001i | −0.0676601 | + | 0.00711136i | ||||
\(656\) | 6.17834 | − | 6.86175i | 0.241224 | − | 0.267906i | ||||
\(657\) | 2.96151 | − | 9.11458i | 0.115539 | − | 0.355594i | ||||
\(658\) | −1.17897 | − | 16.6829i | −0.0459612 | − | 0.650369i | ||||
\(659\) | 18.4155i | 0.717365i | 0.933460 | + | 0.358683i | \(0.116774\pi\) | ||||
−0.933460 | + | 0.358683i | \(0.883226\pi\) | |||||||
\(660\) | 0.306061 | + | 0.352877i | 0.0119134 | + | 0.0137357i | ||||
\(661\) | −33.6682 | − | 19.4384i | −1.30954 | − | 0.756065i | −0.327523 | − | 0.944843i | \(-0.606214\pi\) |
−0.982020 | + | 0.188779i | \(0.939547\pi\) | |||||||
\(662\) | 12.3485 | + | 27.7352i | 0.479939 | + | 1.07796i | ||||
\(663\) | 0.451583 | + | 2.12453i | 0.0175380 | + | 0.0825099i | ||||
\(664\) | 6.91062 | − | 2.24540i | 0.268184 | − | 0.0871382i | ||||
\(665\) | −0.224605 | + | 0.903686i | −0.00870982 | + | 0.0350435i | ||||
\(666\) | 0.265744 | + | 0.365766i | 0.0102974 | + | 0.0141731i | ||||
\(667\) | −39.6671 | − | 35.7165i | −1.53592 | − | 1.38295i | ||||
\(668\) | 1.94997 | + | 2.16566i | 0.0754465 | + | 0.0837918i | ||||
\(669\) | −10.2278 | + | 4.55373i | −0.395431 | + | 0.176057i | ||||
\(670\) | 0.507423 | + | 0.878882i | 0.0196034 | + | 0.0339542i | ||||
\(671\) | −27.4154 | + | 5.29729i | −1.05836 | + | 0.204500i | ||||
\(672\) | −2.60522 | + | 0.461355i | −0.100498 | + | 0.0177972i | ||||
\(673\) | −20.4461 | + | 28.1417i | −0.788141 | + | 1.08478i | 0.206196 | + | 0.978511i | \(0.433891\pi\) |
−0.994337 | + | 0.106272i | \(0.966109\pi\) | |||||||
\(674\) | −34.6687 | + | 7.36905i | −1.33539 | + | 0.283845i | ||||
\(675\) | −1.03543 | + | 4.87134i | −0.0398539 | + | 0.187498i | ||||
\(676\) | −1.32393 | − | 12.5964i | −0.0509205 | − | 0.484476i | ||||
\(677\) | 16.7234 | + | 7.44575i | 0.642734 | + | 0.286164i | 0.702106 | − | 0.712072i | \(-0.252243\pi\) |
−0.0593722 | + | 0.998236i | \(0.518910\pi\) | |||||||
\(678\) | 1.21600 | + | 3.74245i | 0.0467000 | + | 0.143728i | ||||
\(679\) | 29.2940 | − | 37.5517i | 1.12420 | − | 1.44110i | ||||
\(680\) | 0.428066 | + | 0.311008i | 0.0164156 | + | 0.0119266i | ||||
\(681\) | −7.02292 | + | 4.05469i | −0.269119 | + | 0.155376i | ||||
\(682\) | −19.4932 | − | 14.7233i | −0.746432 | − | 0.563784i | ||||
\(683\) | −1.88391 | + | 3.26302i | −0.0720856 | + | 0.124856i | −0.899815 | − | 0.436271i | \(-0.856299\pi\) |
0.827730 | + | 0.561127i | \(0.189632\pi\) | |||||||
\(684\) | 0.261212 | − | 2.48526i | 0.00998768 | − | 0.0950264i | ||||
\(685\) | −0.180241 | − | 0.0585639i | −0.00688666 | − | 0.00223761i | ||||
\(686\) | 18.1240 | + | 3.81041i | 0.691979 | + | 0.145482i | ||||
\(687\) | −18.3731 | + | 13.3489i | −0.700978 | + | 0.509291i | ||||
\(688\) | 4.32674 | − | 9.71801i | 0.164955 | − | 0.370496i | ||||
\(689\) | 6.84868 | + | 1.45573i | 0.260914 | + | 0.0554590i | ||||
\(690\) | −0.672261 | + | 0.605306i | −0.0255925 | + | 0.0230436i | ||||
\(691\) | −40.6394 | − | 4.27137i | −1.54599 | − | 0.162491i | −0.707229 | − | 0.706984i | \(-0.750055\pi\) |
−0.838765 | + | 0.544494i | \(0.816722\pi\) | |||||||
\(692\) | −19.6941 | −0.748659 | ||||||||
\(693\) | 3.98081 | + | 7.82005i | 0.151218 | + | 0.297059i | ||||
\(694\) | 10.4144 | 0.395325 | ||||||||
\(695\) | 0.500336 | + | 0.0525874i | 0.0189788 | + | 0.00199475i | ||||
\(696\) | 6.17580 | − | 5.56071i | 0.234093 | − | 0.210778i | ||||
\(697\) | −33.9307 | − | 7.21218i | −1.28522 | − | 0.273181i | ||||
\(698\) | −0.529730 | + | 1.18979i | −0.0200506 | + | 0.0450343i | ||||
\(699\) | −17.7275 | + | 12.8798i | −0.670515 | + | 0.487158i | ||||
\(700\) | −6.19448 | − | 11.6294i | −0.234129 | − | 0.439550i | ||||
\(701\) | 9.13000 | + | 2.96652i | 0.344835 | + | 0.112044i | 0.476314 | − | 0.879275i | \(-0.341973\pi\) |
−0.131479 | + | 0.991319i | \(0.541973\pi\) | |||||||
\(702\) | 0.0604319 | − | 0.574971i | 0.00228085 | − | 0.0217009i | ||||
\(703\) | 0.564903 | − | 0.978440i | 0.0213057 | − | 0.0369026i | ||||
\(704\) | 3.31605 | + | 0.0615818i | 0.124978 | + | 0.00232095i | ||||
\(705\) | 0.771015 | − | 0.445146i | 0.0290381 | − | 0.0167652i | ||||
\(706\) | 11.2213 | + | 8.15277i | 0.422320 | + | 0.306833i | ||||
\(707\) | 35.7152 | − | 14.4606i | 1.34321 | − | 0.543846i | ||||
\(708\) | −3.21663 | − | 9.89976i | −0.120888 | − | 0.372056i | ||||
\(709\) | 43.3546 | + | 19.3027i | 1.62821 | + | 0.724928i | 0.998646 | − | 0.0520173i | \(-0.0165651\pi\) |
0.629568 | + | 0.776945i | \(0.283232\pi\) | |||||||
\(710\) | −0.148721 | − | 1.41498i | −0.00558139 | − | 0.0531034i | ||||
\(711\) | −2.54852 | + | 11.9898i | −0.0955768 | + | 0.449654i | ||||
\(712\) | −11.1552 | + | 2.37110i | −0.418057 | + | 0.0888608i | ||||
\(713\) | 27.8074 | − | 38.2735i | 1.04139 | − | 1.43336i | ||||
\(714\) | 6.39478 | + | 7.60957i | 0.239319 | + | 0.284781i | ||||
\(715\) | 0.114404 | − | 0.244627i | 0.00427846 | − | 0.00914852i | ||||
\(716\) | 0.611409 | + | 1.05899i | 0.0228494 | + | 0.0395764i | ||||
\(717\) | 3.59649 | − | 1.60126i | 0.134313 | − | 0.0598001i | ||||
\(718\) | −18.3370 | − | 20.3653i | −0.684330 | − | 0.760025i | ||||
\(719\) | −8.91124 | − | 8.02372i | −0.332333 | − | 0.299234i | 0.486022 | − | 0.873946i | \(-0.338447\pi\) |
−0.818356 | + | 0.574712i | \(0.805114\pi\) | |||||||
\(720\) | −0.0827838 | − | 0.113942i | −0.00308517 | − | 0.00424637i | ||||
\(721\) | 0.327577 | + | 0.315870i | 0.0121996 | + | 0.0117636i | ||||
\(722\) | 12.1309 | − | 3.94158i | 0.451467 | − | 0.146691i | ||||
\(723\) | 5.23554 | + | 24.6313i | 0.194712 | + | 0.916047i | ||||
\(724\) | 4.43362 | + | 9.95808i | 0.164774 | + | 0.370089i | ||||
\(725\) | 35.8421 | + | 20.6935i | 1.33114 | + | 0.768536i | ||||
\(726\) | −3.00842 | − | 10.5806i | −0.111653 | − | 0.392683i | ||||
\(727\) | − | 9.15827i | − | 0.339661i | −0.985473 | − | 0.169831i | \(-0.945678\pi\) | ||
0.985473 | − | 0.169831i | \(-0.0543221\pi\) | |||||||
\(728\) | 0.856284 | + | 1.26747i | 0.0317360 | + | 0.0469756i | ||||
\(729\) | −0.309017 | + | 0.951057i | −0.0114451 | + | 0.0352243i | ||||
\(730\) | −0.903166 | + | 1.00307i | −0.0334277 | + | 0.0371252i | ||||
\(731\) | −39.7455 | + | 4.17743i | −1.47004 | + | 0.154508i | ||||
\(732\) | 8.37284 | − | 0.880021i | 0.309469 | − | 0.0325265i | ||||
\(733\) | −24.5197 | + | 27.2318i | −0.905654 | + | 1.00583i | 0.0942928 | + | 0.995545i | \(0.469941\pi\) |
−0.999947 | + | 0.0102865i | \(0.996726\pi\) | |||||||
\(734\) | 9.44127 | − | 29.0572i | 0.348484 | − | 1.07252i | ||||
\(735\) | 0.239920 | + | 0.956243i | 0.00884957 | + | 0.0352715i | ||||
\(736\) | 6.42300i | 0.236755i | ||||||||
\(737\) | −2.05633 | − | 23.8098i | −0.0757459 | − | 0.877046i | ||||
\(738\) | 7.99635 | + | 4.61670i | 0.294350 | + | 0.169943i | ||||
\(739\) | 12.7730 | + | 28.6886i | 0.469862 | + | 1.05533i | 0.980677 | + | 0.195636i | \(0.0626772\pi\) |
−0.510815 | + | 0.859691i | \(0.670656\pi\) | |||||||
\(740\) | −0.0132389 | − | 0.0622840i | −0.000486670 | − | 0.00228960i | ||||
\(741\) | −1.37403 | + | 0.446449i | −0.0504762 | + | 0.0164007i | ||||
\(742\) | 30.7942 | − | 8.85474i | 1.13049 | − | 0.325068i | ||||
\(743\) | 24.2171 | + | 33.3320i | 0.888439 | + | 1.22283i | 0.974011 | + | 0.226500i | \(0.0727283\pi\) |
−0.0855719 | + | 0.996332i | \(0.527272\pi\) | |||||||
\(744\) | 5.47365 | + | 4.92849i | 0.200674 | + | 0.180687i | ||||
\(745\) | −1.04226 | − | 1.15754i | −0.0381854 | − | 0.0424092i | ||||
\(746\) | 8.30191 | − | 3.69625i | 0.303955 | − | 0.135329i | ||||
\(747\) | 3.63313 | + | 6.29276i | 0.132929 | + | 0.230240i | ||||
\(748\) | −6.02864 | − | 10.9046i | −0.220429 | − | 0.398712i | ||||
\(749\) | −3.19077 | − | 18.0179i | −0.116588 | − | 0.658360i | ||||
\(750\) | 0.826196 | − | 1.13716i | 0.0301684 | − | 0.0415232i | ||||
\(751\) | −16.2592 | + | 3.45600i | −0.593307 | + | 0.126111i | −0.494773 | − | 0.869022i | \(-0.664749\pi\) |
−0.0985343 | + | 0.995134i | \(0.531415\pi\) | |||||||
\(752\) | 1.31427 | − | 6.18315i | 0.0479265 | − | 0.225476i | ||||
\(753\) | 0.311483 | + | 2.96356i | 0.0113511 | + | 0.107998i | ||||
\(754\) | −4.38916 | − | 1.95418i | −0.159844 | − | 0.0711670i | ||||
\(755\) | −0.489772 | − | 1.50736i | −0.0178246 | − | 0.0548586i | ||||
\(756\) | −0.992928 | − | 2.45236i | −0.0361124 | − | 0.0891916i | ||||
\(757\) | 10.5560 | + | 7.66937i | 0.383664 | + | 0.278748i | 0.762854 | − | 0.646571i | \(-0.223797\pi\) |
−0.379190 | + | 0.925319i | \(0.623797\pi\) | |||||||
\(758\) | −31.2872 | + | 18.0637i | −1.13640 | + | 0.656102i | ||||
\(759\) | 20.3788 | − | 6.20557i | 0.739703 | − | 0.225248i | ||||
\(760\) | −0.175977 | + | 0.304800i | −0.00638334 | + | 0.0110563i | ||||
\(761\) | 5.63492 | − | 53.6127i | 0.204266 | − | 1.94346i | −0.109565 | − | 0.993980i | \(-0.534946\pi\) |
0.313831 | − | 0.949479i | \(-0.398388\pi\) | |||||||
\(762\) | −3.61262 | − | 1.17381i | −0.130871 | − | 0.0425227i | ||||
\(763\) | −3.92384 | − | 2.44786i | −0.142053 | − | 0.0886185i | ||||
\(764\) | −2.90457 | + | 2.11029i | −0.105084 | + | 0.0763478i | ||||
\(765\) | −0.215212 | + | 0.483374i | −0.00778101 | + | 0.0174764i | ||||
\(766\) | −22.1221 | − | 4.70219i | −0.799303 | − | 0.169897i | ||||
\(767\) | −4.47222 | + | 4.02681i | −0.161483 | + | 0.145400i | ||||
\(768\) | −0.994522 | − | 0.104528i | −0.0358867 | − | 0.00377185i | ||||
\(769\) | 22.4354 | 0.809043 | 0.404521 | − | 0.914529i | \(-0.367438\pi\) | ||||
0.404521 | + | 0.914529i | \(0.367438\pi\) | |||||||
\(770\) | −0.0642156 | − | 1.23420i | −0.00231417 | − | 0.0444774i | ||||
\(771\) | −3.73909 | −0.134660 | ||||||||
\(772\) | 5.24555 | + | 0.551329i | 0.188791 | + | 0.0198428i | ||||
\(773\) | −3.41640 | + | 3.07614i | −0.122880 | + | 0.110641i | −0.728280 | − | 0.685280i | \(-0.759680\pi\) |
0.605400 | + | 0.795921i | \(0.293013\pi\) | |||||||
\(774\) | 10.4052 | + | 2.21170i | 0.374008 | + | 0.0794979i | ||||
\(775\) | −14.9197 | + | 33.5102i | −0.535932 | + | 1.20372i | ||||
\(776\) | 14.5632 | − | 10.5808i | 0.522787 | − | 0.379827i | ||||
\(777\) | 0.0408626 | − | 1.19548i | 0.00146594 | − | 0.0428875i | ||||
\(778\) | 24.4599 | + | 7.94751i | 0.876931 | + | 0.284932i | ||||
\(779\) | 2.41187 | − | 22.9474i | 0.0864142 | − | 0.822176i | ||||
\(780\) | −0.0407125 | + | 0.0705162i | −0.00145774 | + | 0.00252488i | ||||
\(781\) | −10.9434 | + | 31.6672i | −0.391586 | + | 1.13314i | ||||
\(782\) | 20.8975 | − | 12.0652i | 0.747295 | − | 0.431451i | ||||
\(783\) | 6.72322 | + | 4.88470i | 0.240268 | + | 0.174565i | ||||
\(784\) | 6.18548 | + | 3.27716i | 0.220910 | + | 0.117042i | ||||
\(785\) | 0.322010 | + | 0.991045i | 0.0114930 | + | 0.0353719i | ||||
\(786\) | −11.2939 | − | 5.02835i | −0.402839 | − | 0.179355i | ||||
\(787\) | −0.655997 | − | 6.24140i | −0.0233838 | − | 0.222482i | −0.999973 | − | 0.00736837i | \(-0.997655\pi\) |
0.976589 | − | 0.215113i | \(-0.0690121\pi\) | |||||||
\(788\) | 0.831516 | − | 3.91197i | 0.0296215 | − | 0.139358i | ||||
\(789\) | −7.63965 | + | 1.62386i | −0.271979 | + | 0.0578109i | ||||
\(790\) | 1.01474 | − | 1.39667i | 0.0361027 | − | 0.0496912i | ||||
\(791\) | 3.55359 | − | 9.78591i | 0.126351 | − | 0.347947i | ||||
\(792\) | 0.629210 | + | 3.25639i | 0.0223580 | + | 0.115711i | ||||
\(793\) | −2.43366 | − | 4.21522i | −0.0864218 | − | 0.149687i | ||||
\(794\) | 13.7812 | − | 6.13580i | 0.489077 | − | 0.217751i | ||||
\(795\) | 1.14132 | + | 1.26757i | 0.0404785 | + | 0.0449560i | ||||
\(796\) | 10.4313 | + | 9.39239i | 0.369728 | + | 0.332904i | ||||
\(797\) | −23.8572 | − | 32.8366i | −0.845066 | − | 1.16313i | −0.984928 | − | 0.172962i | \(-0.944666\pi\) |
0.139863 | − | 0.990171i | \(-0.455334\pi\) | |||||||
\(798\) | −4.58929 | + | 4.75939i | −0.162459 | + | 0.168480i | ||||
\(799\) | −22.5860 | + | 7.33862i | −0.799034 | + | 0.259622i | ||||
\(800\) | −1.03543 | − | 4.87134i | −0.0366081 | − | 0.172228i | ||||
\(801\) | −4.63857 | − | 10.4184i | −0.163896 | − | 0.368116i | ||||
\(802\) | 13.0732 | + | 7.54783i | 0.461632 | + | 0.266523i | ||||
\(803\) | 29.2724 | − | 12.3869i | 1.03300 | − | 0.437123i | ||||
\(804\) | 7.20565i | 0.254124i | ||||||||
\(805\) | 2.38744 | − | 0.168719i | 0.0841460 | − | 0.00594655i | ||||
\(806\) | 1.31588 | − | 4.04987i | 0.0463500 | − | 0.142651i | ||||
\(807\) | 12.0012 | − | 13.3287i | 0.422462 | − | 0.469192i | ||||
\(808\) | 14.4838 | − | 1.52231i | 0.509538 | − | 0.0535546i | ||||
\(809\) | −47.2566 | + | 4.96686i | −1.66145 | + | 0.174626i | −0.888195 | − | 0.459467i | \(-0.848040\pi\) |
−0.773257 | + | 0.634093i | \(0.781374\pi\) | |||||||
\(810\) | 0.0942405 | − | 0.104665i | 0.00331127 | − | 0.00367754i | ||||
\(811\) | 7.94381 | − | 24.4485i | 0.278945 | − | 0.858504i | −0.709204 | − | 0.705004i | \(-0.750945\pi\) |
0.988149 | − | 0.153501i | \(-0.0490547\pi\) | |||||||
\(812\) | −21.9324 | + | 1.54995i | −0.769678 | + | 0.0543926i | ||||
\(813\) | − | 1.23785i | − | 0.0434132i | ||||||
\(814\) | −0.338940 | + | 1.46067i | −0.0118798 | + | 0.0511966i | ||||
\(815\) | −0.499883 | − | 0.288607i | −0.0175101 | − | 0.0101095i | ||||
\(816\) | 1.52806 | + | 3.43208i | 0.0534928 | + | 0.120147i | ||||
\(817\) | −5.52694 | − | 26.0022i | −0.193363 | − | 0.909702i | ||||
\(818\) | −16.3585 | + | 5.31519i | −0.571961 | + | 0.185841i | ||||
\(819\) | −1.06174 | + | 1.10109i | −0.0371003 | + | 0.0384753i | ||||
\(820\) | −0.764375 | − | 1.05207i | −0.0266931 | − | 0.0367399i | ||||
\(821\) | −2.18928 | − | 1.97124i | −0.0764065 | − | 0.0687967i | 0.630043 | − | 0.776561i | \(-0.283037\pi\) |
−0.706449 | + | 0.707764i | \(0.749704\pi\) | |||||||
\(822\) | −0.900393 | − | 0.999987i | −0.0314048 | − | 0.0348786i | ||||
\(823\) | 13.9846 | − | 6.22636i | 0.487474 | − | 0.217037i | −0.148256 | − | 0.988949i | \(-0.547366\pi\) |
0.635730 | + | 0.771912i | \(0.280699\pi\) | |||||||
\(824\) | 0.0859985 | + | 0.148954i | 0.00299590 | + | 0.00518905i | ||||
\(825\) | −14.4553 | + | 7.99164i | −0.503269 | + | 0.278233i | ||||
\(826\) | −9.40018 | + | 25.8863i | −0.327074 | + | 0.900699i | ||||
\(827\) | −9.11098 | + | 12.5402i | −0.316820 | + | 0.436065i | −0.937493 | − | 0.348004i | \(-0.886859\pi\) |
0.620673 | + | 0.784069i | \(0.286859\pi\) | |||||||
\(828\) | −6.28264 | + | 1.33542i | −0.218337 | + | 0.0464089i | ||||
\(829\) | 3.73065 | − | 17.5513i | 0.129571 | − | 0.609582i | −0.864664 | − | 0.502351i | \(-0.832468\pi\) |
0.994234 | − | 0.107231i | \(-0.0341983\pi\) | |||||||
\(830\) | −0.106972 | − | 1.01777i | −0.00371306 | − | 0.0353275i | ||||
\(831\) | −7.48493 | − | 3.33251i | −0.259649 | − | 0.115603i | ||||
\(832\) | 0.178655 | + | 0.549842i | 0.00619373 | + | 0.0190623i | ||||
\(833\) | −0.956630 | − | 26.2807i | −0.0331452 | − | 0.910573i | ||||
\(834\) | 2.88987 | + | 2.09961i | 0.100068 | + | 0.0727036i | ||||
\(835\) | 0.355446 | − | 0.205217i | 0.0123007 | − | 0.00710182i | ||||
\(836\) | 6.79451 | − | 4.74628i | 0.234993 | − | 0.164153i | ||||
\(837\) | −3.68276 | + | 6.37872i | −0.127295 | + | 0.220481i | ||||
\(838\) | 0.718659 | − | 6.83758i | 0.0248256 | − | 0.236200i | ||||
\(839\) | 6.48355 | + | 2.10663i | 0.223837 | + | 0.0727290i | 0.418788 | − | 0.908084i | \(-0.362455\pi\) |
−0.194951 | + | 0.980813i | \(0.562455\pi\) | |||||||
\(840\) | −0.0127294 | + | 0.372411i | −0.000439205 | + | 0.0128494i | ||||
\(841\) | 32.4108 | − | 23.5479i | 1.11762 | − | 0.811995i | ||||
\(842\) | 9.58122 | − | 21.5198i | 0.330191 | − | 0.741620i | ||||
\(843\) | 3.02948 | + | 0.643937i | 0.104341 | + | 0.0221784i | ||||
\(844\) | −11.0677 | + | 9.96543i | −0.380967 | + | 0.343024i | ||||
\(845\) | −1.77408 | − | 0.186463i | −0.0610300 | − | 0.00641452i | ||||
\(846\) | 6.32129 | 0.217330 | ||||||||
\(847\) | −10.9425 | + | 26.9678i | −0.375989 | + | 0.926624i | ||||
\(848\) | 12.1107 | 0.415885 | ||||||||
\(849\) | −0.840434 | − | 0.0883332i | −0.0288436 | − | 0.00303159i | ||||
\(850\) | −13.9041 | + | 12.5193i | −0.476908 | + | 0.429410i | ||||
\(851\) | −2.84045 | − | 0.603757i | −0.0973695 | − | 0.0206965i | ||||
\(852\) | 4.10888 | − | 9.22870i | 0.140768 | − | 0.316170i | ||||
\(853\) | −36.4229 | + | 26.4628i | −1.24710 | + | 0.906069i | −0.998050 | − | 0.0624225i | \(-0.980117\pi\) |
−0.249047 | + | 0.968491i | \(0.580117\pi\) | |||||||
\(854\) | −18.8985 | − | 11.7897i | −0.646695 | − | 0.403436i | ||||
\(855\) | −0.334727 | − | 0.108759i | −0.0114474 | − | 0.00371950i | ||||
\(856\) | 0.722928 | − | 6.87820i | 0.0247092 | − | 0.235092i | ||||
\(857\) | 0.0822897 | − | 0.142530i | 0.00281096 | − | 0.00486873i | −0.864617 | − | 0.502432i | \(-0.832439\pi\) |
0.867427 | + | 0.497564i | \(0.165772\pi\) | |||||||
\(858\) | 1.57192 | − | 1.09806i | 0.0536646 | − | 0.0374872i | ||||
\(859\) | 47.0440 | − | 27.1609i | 1.60512 | − | 0.926717i | 0.614679 | − | 0.788777i | \(-0.289285\pi\) |
0.990441 | − | 0.137940i | \(-0.0440480\pi\) | |||||||
\(860\) | −1.21208 | − | 0.880628i | −0.0413316 | − | 0.0300292i | ||||
\(861\) | −9.16809 | − | 22.6436i | −0.312448 | − | 0.771693i | ||||
\(862\) | 0.357628 | + | 1.10067i | 0.0121809 | + | 0.0374888i | ||||
\(863\) | 39.0594 | + | 17.3904i | 1.32960 | + | 0.591975i | 0.943772 | − | 0.330597i | \(-0.107250\pi\) |
0.385826 | + | 0.922572i | \(0.373917\pi\) | |||||||
\(864\) | −0.104528 | − | 0.994522i | −0.00355613 | − | 0.0338343i | ||||
\(865\) | −0.576690 | + | 2.71311i | −0.0196081 | + | 0.0922486i | ||||
\(866\) | 18.6549 | − | 3.96522i | 0.633919 | − | 0.134744i | ||||
\(867\) | −1.69628 | + | 2.33473i | −0.0576088 | + | 0.0792917i | ||||
\(868\) | −3.39812 | − | 19.1888i | −0.115340 | − | 0.651309i | ||||
\(869\) | −35.5789 | + | 19.6699i | −1.20693 | + | 0.667254i | ||||
\(870\) | −0.585216 | − | 1.01362i | −0.0198407 | − | 0.0343651i | ||||
\(871\) | 3.80571 | − | 1.69441i | 0.128951 | − | 0.0574129i | ||||
\(872\) | −1.16964 | − | 1.29902i | −0.0396091 | − | 0.0439903i | ||||
\(873\) | 13.3774 | + | 12.0451i | 0.452757 | + | 0.407664i | ||||
\(874\) | 9.43441 | + | 12.9854i | 0.319124 | + | 0.439236i | ||||
\(875\) | −3.57407 | + | 1.02771i | −0.120826 | + | 0.0347428i | ||||
\(876\) | −9.11458 | + | 2.96151i | −0.307953 | + | 0.100060i | ||||
\(877\) | 5.54458 | + | 26.0852i | 0.187227 | + | 0.880835i | 0.967001 | + | 0.254773i | \(0.0820008\pi\) |
−0.779774 | + | 0.626061i | \(0.784666\pi\) | |||||||
\(878\) | −1.02652 | − | 2.30560i | −0.0346433 | − | 0.0778102i | ||||
\(879\) | −18.7733 | − | 10.8388i | −0.633209 | − | 0.365583i | ||||
\(880\) | 0.105585 | − | 0.455024i | 0.00355928 | − | 0.0153389i | ||||
\(881\) | 52.5710i | 1.77116i | 0.464485 | + | 0.885581i | \(0.346239\pi\) | ||||
−0.464485 | + | 0.885581i | \(0.653761\pi\) | |||||||
\(882\) | −1.91952 | + | 6.73168i | −0.0646335 | + | 0.226667i | ||||
\(883\) | 4.24279 | − | 13.0580i | 0.142781 | − | 0.439435i | −0.853938 | − | 0.520375i | \(-0.825792\pi\) |
0.996719 | + | 0.0809397i | \(0.0257921\pi\) | |||||||
\(884\) | 1.45335 | − | 1.61411i | 0.0488813 | − | 0.0542882i | ||||
\(885\) | −1.45801 | + | 0.153243i | −0.0490103 | + | 0.00515119i | ||||
\(886\) | 14.5314 | − | 1.52731i | 0.488193 | − | 0.0513111i | ||||
\(887\) | −9.45673 | + | 10.5028i | −0.317526 | + | 0.352648i | −0.880687 | − | 0.473699i | \(-0.842918\pi\) |
0.563161 | + | 0.826347i | \(0.309585\pi\) | |||||||
\(888\) | 0.139710 | − | 0.429983i | 0.00468836 | − | 0.0144293i | ||||
\(889\) | 5.62603 | + | 8.32765i | 0.188691 | + | 0.279300i | ||||
\(890\) | 1.60619i | 0.0538397i | ||||||||
\(891\) | −3.05441 | + | 1.29250i | −0.102327 | + | 0.0433005i | ||||
\(892\) | 9.69583 | + | 5.59789i | 0.324640 | + | 0.187431i | ||||
\(893\) | −6.42506 | − | 14.4309i | −0.215006 | − | 0.482912i | ||||
\(894\) | −2.29941 | − | 10.8179i | −0.0769038 | − | 0.361804i | ||||
\(895\) | 0.163793 | − | 0.0532195i | 0.00547499 | − | 0.00177893i | ||||
\(896\) | 1.90455 | + | 1.83649i | 0.0636266 | + | 0.0613527i | ||||
\(897\) | 2.18267 | + | 3.00419i | 0.0728772 | + | 0.100307i | ||||
\(898\) | −28.2475 | − | 25.4342i | −0.942632 | − | 0.848750i | ||||
\(899\) | 40.9575 | + | 45.4879i | 1.36601 | + | 1.51711i | ||||
\(900\) | 4.54961 | − | 2.02562i | 0.151654 | − | 0.0675205i | ||||
\(901\) | −22.7493 | − | 39.4029i | −0.757889 | − | 1.31270i | ||||
\(902\) | 5.80974 | + | 30.0675i | 0.193443 | + | 1.00114i | ||||
\(903\) | −18.1070 | − | 21.5467i | −0.602563 | − | 0.717030i | ||||
\(904\) | 2.31296 | − | 3.18352i | 0.0769279 | − | 0.105882i | ||||
\(905\) | 1.50168 | − | 0.319191i | 0.0499174 | − | 0.0106103i | ||||
\(906\) | 2.33972 | − | 11.0075i | 0.0777320 | − | 0.365700i | ||||
\(907\) | 0.167461 | + | 1.59328i | 0.00556045 | + | 0.0529041i | 0.996950 | − | 0.0780394i | \(-0.0248660\pi\) |
−0.991390 | + | 0.130944i | \(0.958199\pi\) | |||||||
\(908\) | 7.40828 | + | 3.29838i | 0.245852 | + | 0.109461i | ||||
\(909\) | 4.50039 | + | 13.8508i | 0.149269 | + | 0.459401i | ||||
\(910\) | 0.199684 | − | 0.0808493i | 0.00661946 | − | 0.00268013i | ||||
\(911\) | −32.6022 | − | 23.6869i | −1.08016 | − | 0.784782i | −0.102449 | − | 0.994738i | \(-0.532668\pi\) |
−0.977711 | + | 0.209957i | \(0.932668\pi\) | |||||||
\(912\) | −2.16416 | + | 1.24948i | −0.0716624 | + | 0.0413743i | ||||
\(913\) | −7.87142 | + | 22.7777i | −0.260506 | + | 0.753832i | ||||
\(914\) | 19.4015 | − | 33.6044i | 0.641746 | − | 1.11154i | ||||
\(915\) | 0.123942 | − | 1.17923i | 0.00409741 | − | 0.0389842i | ||||
\(916\) | 21.5989 | + | 7.01791i | 0.713648 | + | 0.231878i | ||||
\(917\) | 15.3771 | + | 28.8686i | 0.507795 | + | 0.953324i | ||||
\(918\) | −3.03938 | + | 2.20824i | −0.100314 | + | 0.0728826i | ||||
\(919\) | −20.5161 | + | 46.0798i | −0.676762 | + | 1.52003i | 0.168512 | + | 0.985700i | \(0.446104\pi\) |
−0.845274 | + | 0.534333i | \(0.820563\pi\) | |||||||
\(920\) | 0.884848 | + | 0.188080i | 0.0291726 | + | 0.00620082i | ||||
\(921\) | 7.77761 | − | 7.00299i | 0.256281 | − | 0.230757i | ||||
\(922\) | 30.6739 | + | 3.22396i | 1.01019 | + | 0.106175i | ||||
\(923\) | −5.84039 | −0.192239 | ||||||||
\(924\) | 3.98669 | − | 7.81705i | 0.131153 | − | 0.257162i | ||||
\(925\) | 2.25159 | 0.0740318 | ||||||||
\(926\) | −19.1922 | − | 2.01719i | −0.630696 | − | 0.0662889i | ||||
\(927\) | −0.127819 | + | 0.115089i | −0.00419812 | + | 0.00378000i | ||||
\(928\) | −8.12875 | − | 1.72782i | −0.266839 | − | 0.0567185i | ||||
\(929\) | −3.93271 | + | 8.83302i | −0.129028 | + | 0.289802i | −0.966495 | − | 0.256687i | \(-0.917369\pi\) |
0.837467 | + | 0.546489i | \(0.184036\pi\) | |||||||
\(930\) | 0.839242 | − | 0.609745i | 0.0275198 | − | 0.0199943i | ||||
\(931\) | 17.3188 | − | 2.46011i | 0.567601 | − | 0.0806267i | ||||
\(932\) | 20.8399 | + | 6.77129i | 0.682634 | + | 0.221801i | ||||
\(933\) | 0.764497 | − | 7.27371i | 0.0250285 | − | 0.238130i | ||||
\(934\) | −0.893045 | + | 1.54680i | −0.0292213 | + | 0.0506128i | ||||
\(935\) | −1.67878 | + | 0.511208i | −0.0549020 | + | 0.0167183i | ||||
\(936\) | −0.500682 | + | 0.289069i | −0.0163653 | + | 0.00944852i | ||||
\(937\) | −0.0416561 | − | 0.0302649i | −0.00136084 | − | 0.000988711i | 0.587105 | − | 0.809511i | \(-0.300268\pi\) |
−0.588465 | + | 0.808522i | \(0.700268\pi\) | |||||||
\(938\) | 11.7261 | − | 15.0316i | 0.382870 | − | 0.490799i | ||||
\(939\) | −2.74066 | − | 8.43489i | −0.0894381 | − | 0.275262i | ||||
\(940\) | −0.813321 | − | 0.362114i | −0.0265276 | − | 0.0118109i | ||||
\(941\) | −2.45546 | − | 23.3622i | −0.0800458 | − | 0.761585i | −0.958756 | − | 0.284230i | \(-0.908262\pi\) |
0.878710 | − | 0.477355i | \(-0.158405\pi\) | |||||||
\(942\) | −1.53829 | + | 7.23710i | −0.0501203 | + | 0.235798i | ||||
\(943\) | −58.0101 | + | 12.3304i | −1.88907 | + | 0.401534i | ||||
\(944\) | −6.11839 | + | 8.42124i | −0.199137 | + | 0.274088i | ||||
\(945\) | −0.366919 | + | 0.0649773i | −0.0119359 | + | 0.00211371i | ||||
\(946\) | 17.0703 | + | 30.8767i | 0.555002 | + | 1.00389i | ||||
\(947\) | 4.01472 | + | 6.95369i | 0.130461 | + | 0.225965i | 0.923854 | − | 0.382744i | \(-0.125021\pi\) |
−0.793393 | + | 0.608709i | \(0.791688\pi\) | |||||||
\(948\) | 11.1980 | − | 4.98565i | 0.363693 | − | 0.161926i | ||||
\(949\) | 3.70743 | + | 4.11752i | 0.120348 | + | 0.133660i | ||||
\(950\) | −9.24858 | − | 8.32746i | −0.300064 | − | 0.270179i | ||||
\(951\) | 2.64844 | + | 3.64526i | 0.0858815 | + | 0.118206i | ||||
\(952\) | 2.39752 | − | 9.64628i | 0.0777040 | − | 0.312638i | ||||
\(953\) | 8.02892 | − | 2.60875i | 0.260082 | − | 0.0845058i | −0.176074 | − | 0.984377i | \(-0.556340\pi\) |
0.436156 | + | 0.899871i | \(0.356340\pi\) | |||||||
\(954\) | 2.51797 | + | 11.8461i | 0.0815222 | + | 0.383532i | ||||
\(955\) | 0.205667 | + | 0.461935i | 0.00665522 | + | 0.0149479i | ||||
\(956\) | −3.40941 | − | 1.96842i | −0.110268 | − | 0.0636633i | ||||
\(957\) | 2.37159 | + | 27.4601i | 0.0766626 | + | 0.887659i | ||||
\(958\) | − | 3.65000i | − | 0.117926i | ||||||
\(959\) | 0.250969 | + | 3.55131i | 0.00810420 | + | 0.114678i | ||||
\(960\) | −0.0435220 | + | 0.133947i | −0.00140467 | + | 0.00432312i | ||||
\(961\) | −15.5578 | + | 17.2787i | −0.501866 | + | 0.557378i | ||||
\(962\) | −0.259951 | + | 0.0273219i | −0.00838115 | + | 0.000880895i | ||||
\(963\) | 6.87820 | − | 0.722928i | 0.221647 | − | 0.0232960i | ||||
\(964\) | 16.8497 | − | 18.7135i | 0.542694 | − | 0.602723i | ||||
\(965\) | 0.229554 | − | 0.706495i | 0.00738961 | − | 0.0227429i | ||||
\(966\) | 15.2793 | + | 7.43824i | 0.491603 | + | 0.239321i | ||||
\(967\) | 19.5969i | 0.630194i | 0.949059 | + | 0.315097i | \(0.102037\pi\) | ||||
−0.949059 | + | 0.315097i | \(0.897963\pi\) | |||||||
\(968\) | −6.79160 | + | 8.65299i | −0.218290 | + | 0.278118i | ||||
\(969\) | 8.13047 | + | 4.69413i | 0.261188 | + | 0.150797i | ||||
\(970\) | −1.03119 | − | 2.31609i | −0.0331095 | − | 0.0743651i | ||||
\(971\) | −11.5219 | − | 54.2061i | −0.369754 | − | 1.73955i | −0.632381 | − | 0.774658i | \(-0.717922\pi\) |
0.262627 | − | 0.964897i | \(-0.415411\pi\) | |||||||
\(972\) | 0.951057 | − | 0.309017i | 0.0305052 | − | 0.00991172i | ||||
\(973\) | −2.61171 | − | 9.08278i | −0.0837276 | − | 0.291181i | ||||
\(974\) | −7.96356 | − | 10.9609i | −0.255169 | − | 0.351210i | ||||
\(975\) | −2.13968 | − | 1.92658i | −0.0685246 | − | 0.0616998i | ||||
\(976\) | −5.63338 | − | 6.25651i | −0.180320 | − | 0.200266i | ||||
\(977\) | −43.2276 | + | 19.2462i | −1.38297 | + | 0.615739i | −0.957289 | − | 0.289133i | \(-0.906633\pi\) |
−0.425683 | + | 0.904872i | \(0.639966\pi\) | |||||||
\(978\) | −2.04918 | − | 3.54929i | −0.0655257 | − | 0.113494i | ||||
\(979\) | 16.0233 | − | 34.2623i | 0.512108 | − | 1.09503i | ||||
\(980\) | 0.632595 | − | 0.756164i | 0.0202075 | − | 0.0241548i | ||||
\(981\) | 1.02745 | − | 1.41416i | 0.0328040 | − | 0.0451508i | ||||
\(982\) | 8.88550 | − | 1.88867i | 0.283548 | − | 0.0602700i | ||||
\(983\) | 10.2419 | − | 48.1841i | 0.326664 | − | 1.53684i | −0.441901 | − | 0.897064i | \(-0.645696\pi\) |
0.768565 | − | 0.639771i | \(-0.220971\pi\) | |||||||
\(984\) | −0.965152 | − | 9.18281i | −0.0307679 | − | 0.292737i | ||||
\(985\) | −0.514575 | − | 0.229103i | −0.0163957 | − | 0.00729984i | ||||
\(986\) | 9.64781 | + | 29.6929i | 0.307249 | + | 0.945615i | ||||
\(987\) | −13.1867 | − | 10.2869i | −0.419738 | − | 0.327436i | ||||
\(988\) | 1.16882 | + | 0.849197i | 0.0371851 | + | 0.0270166i | ||||
\(989\) | −59.1719 | + | 34.1629i | −1.88156 | + | 1.08632i | ||||
\(990\) | 0.467033 | + | 0.00867320i | 0.0148433 | + | 0.000275652i | ||||
\(991\) | −12.5992 | + | 21.8225i | −0.400228 | + | 0.693215i | −0.993753 | − | 0.111600i | \(-0.964402\pi\) |
0.593525 | + | 0.804815i | \(0.297736\pi\) | |||||||
\(992\) | 0.769906 | − | 7.32517i | 0.0244445 | − | 0.232574i | ||||
\(993\) | 28.8741 | + | 9.38175i | 0.916290 | + | 0.297721i | ||||
\(994\) | −23.5898 | + | 12.5653i | −0.748222 | + | 0.398546i | ||||
\(995\) | 1.59937 | − | 1.16201i | 0.0507035 | − | 0.0368382i | ||||
\(996\) | 2.95545 | − | 6.63805i | 0.0936470 | − | 0.210335i | ||||
\(997\) | −40.8607 | − | 8.68520i | −1.29407 | − | 0.275063i | −0.491111 | − | 0.871097i | \(-0.663409\pi\) |
−0.802959 | + | 0.596034i | \(0.796742\pi\) | |||||||
\(998\) | 3.85011 | − | 3.46666i | 0.121873 | − | 0.109735i | ||||
\(999\) | 0.449635 | + | 0.0472585i | 0.0142258 | + | 0.00149519i |
(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 | 462.2.ba.b.73.3 | yes | 64 | |
7.5 | odd | 6 | 462.2.ba.a.271.7 | ✓ | 64 | ||
11.8 | odd | 10 | 462.2.ba.a.283.7 | yes | 64 | ||
77.19 | even | 30 | inner | 462.2.ba.b.19.3 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.ba.a.271.7 | ✓ | 64 | 7.5 | odd | 6 | ||
462.2.ba.a.283.7 | yes | 64 | 11.8 | odd | 10 | ||
462.2.ba.b.19.3 | yes | 64 | 77.19 | even | 30 | inner | |
462.2.ba.b.73.3 | yes | 64 | 1.1 | even | 1 | trivial |