Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [187,2,Mod(9,187)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(187, base_ring=CyclotomicField(40))
chi = DirichletCharacter(H, H._module([24, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("187.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 187 = 11 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 187.r (of order \(40\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.49320251780\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{40})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{40}]$ |
Embedding invariants
Embedding label | 9.4 | ||
Character | \(\chi\) | \(=\) | 187.9 |
Dual form | 187.2.r.a.104.4 |
$q$-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 \(\left(\mathbb{Z}/187\mathbb{Z}\right)^\times\).
\(n\) | \(35\) | \(122\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) | \(e\left(\frac{1}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766568 | − | 1.50447i | −0.542046 | − | 1.06382i | −0.985839 | − | 0.167695i | \(-0.946368\pi\) |
0.443793 | − | 0.896129i | \(-0.353632\pi\) | |||||||
\(3\) | 2.49633 | − | 0.599317i | 1.44126 | − | 0.346016i | 0.563897 | − | 0.825845i | \(-0.309302\pi\) |
0.877362 | + | 0.479830i | \(0.159302\pi\) | |||||||
\(4\) | −0.500247 | + | 0.688531i | −0.250124 | + | 0.344266i | ||||
\(5\) | 1.08364 | + | 0.0852843i | 0.484618 | + | 0.0381403i | 0.318415 | − | 0.947951i | \(-0.396849\pi\) |
0.166203 | + | 0.986092i | \(0.446849\pi\) | |||||||
\(6\) | −2.81527 | − | 3.29625i | −1.14933 | − | 1.34569i | ||||
\(7\) | −0.0461198 | + | 0.192103i | −0.0174317 | + | 0.0726081i | −0.980408 | − | 0.196979i | \(-0.936887\pi\) |
0.962976 | + | 0.269587i | \(0.0868871\pi\) | |||||||
\(8\) | −1.91609 | − | 0.303480i | −0.677442 | − | 0.107296i | ||||
\(9\) | 3.19948 | − | 1.63022i | 1.06649 | − | 0.543405i | ||||
\(10\) | −0.702375 | − | 1.69568i | −0.222111 | − | 0.536222i | ||||
\(11\) | 0.477308 | + | 3.28210i | 0.143914 | + | 0.989590i | ||||
\(12\) | −0.836136 | + | 2.01861i | −0.241372 | + | 0.582722i | ||||
\(13\) | 0.391287 | + | 0.127137i | 0.108523 | + | 0.0352614i | 0.362775 | − | 0.931877i | \(-0.381829\pi\) |
−0.254252 | + | 0.967138i | \(0.581829\pi\) | |||||||
\(14\) | 0.324368 | − | 0.0778739i | 0.0866910 | − | 0.0208127i | ||||
\(15\) | 2.75624 | − | 0.436545i | 0.711657 | − | 0.112715i | ||||
\(16\) | 1.53823 | + | 4.73419i | 0.384558 | + | 1.18355i | ||||
\(17\) | −3.93671 | − | 1.22570i | −0.954792 | − | 0.297275i | ||||
\(18\) | −4.90524 | − | 3.56386i | −1.15618 | − | 0.840011i | ||||
\(19\) | 0.00230718 | − | 0.0145670i | 0.000529303 | − | 0.00334189i | −0.987422 | − | 0.158105i | \(-0.949461\pi\) |
0.987952 | + | 0.154763i | \(0.0494615\pi\) | |||||||
\(20\) | −0.600808 | + | 0.703456i | −0.134345 | + | 0.157298i | ||||
\(21\) | 0.507193i | 0.110679i | ||||||||
\(22\) | 4.57195 | − | 3.23405i | 0.974742 | − | 0.689502i | ||||
\(23\) | −4.95498 | + | 2.05242i | −1.03318 | + | 0.427959i | −0.833861 | − | 0.551975i | \(-0.813874\pi\) |
−0.199323 | + | 0.979934i | \(0.563874\pi\) | |||||||
\(24\) | −4.96509 | + | 0.390761i | −1.01349 | + | 0.0797638i | ||||
\(25\) | −3.77144 | − | 0.597338i | −0.754288 | − | 0.119468i | ||||
\(26\) | −0.108674 | − | 0.686141i | −0.0213127 | − | 0.134563i | ||||
\(27\) | 1.15345 | − | 0.985142i | 0.221982 | − | 0.189591i | ||||
\(28\) | −0.109198 | − | 0.127854i | −0.0206364 | − | 0.0241621i | ||||
\(29\) | 0.0229170 | − | 0.0140435i | 0.00425557 | − | 0.00260782i | −0.520369 | − | 0.853941i | \(-0.674206\pi\) |
0.524625 | + | 0.851334i | \(0.324206\pi\) | |||||||
\(30\) | −2.76961 | − | 3.81205i | −0.505660 | − | 0.695981i | ||||
\(31\) | 5.44810 | − | 6.37891i | 0.978508 | − | 1.14569i | −0.0108145 | − | 0.999942i | \(-0.503442\pi\) |
0.989322 | − | 0.145744i | \(-0.0465576\pi\) | |||||||
\(32\) | 3.19976 | − | 3.19976i | 0.565644 | − | 0.565644i | ||||
\(33\) | 3.15854 | + | 7.90715i | 0.549831 | + | 1.37646i | ||||
\(34\) | 1.17373 | + | 6.86226i | 0.201293 | + | 1.17687i | ||||
\(35\) | −0.0663606 | + | 0.204237i | −0.0112170 | + | 0.0345224i | ||||
\(36\) | −0.478076 | + | 3.01845i | −0.0796793 | + | 0.503075i | ||||
\(37\) | 0.580754 | + | 0.947704i | 0.0954754 | + | 0.155802i | 0.896812 | − | 0.442412i | \(-0.145877\pi\) |
−0.801336 | + | 0.598214i | \(0.795877\pi\) | |||||||
\(38\) | −0.0236842 | + | 0.00769547i | −0.00384209 | + | 0.00124837i | ||||
\(39\) | 1.05298 | + | 0.0828712i | 0.168611 | + | 0.0132700i | ||||
\(40\) | −2.05047 | − | 0.492275i | −0.324208 | − | 0.0778355i | ||||
\(41\) | −2.10772 | − | 1.29161i | −0.329171 | − | 0.201716i | 0.348087 | − | 0.937462i | \(-0.386832\pi\) |
−0.677257 | + | 0.735746i | \(0.736832\pi\) | |||||||
\(42\) | 0.763060 | − | 0.388798i | 0.117743 | − | 0.0599929i | ||||
\(43\) | 7.70774 | + | 7.70774i | 1.17542 | + | 1.17542i | 0.980898 | + | 0.194520i | \(0.0623151\pi\) |
0.194520 | + | 0.980898i | \(0.437685\pi\) | |||||||
\(44\) | −2.49860 | − | 1.31322i | −0.376678 | − | 0.197975i | ||||
\(45\) | 3.60611 | − | 1.49370i | 0.537567 | − | 0.222668i | ||||
\(46\) | 6.88614 | + | 5.88132i | 1.01531 | + | 0.867153i | ||||
\(47\) | −3.14737 | − | 4.33198i | −0.459091 | − | 0.631884i | 0.515229 | − | 0.857052i | \(-0.327707\pi\) |
−0.974320 | + | 0.225168i | \(0.927707\pi\) | |||||||
\(48\) | 6.67721 | + | 10.8962i | 0.963773 | + | 1.57273i | ||||
\(49\) | 6.20227 | + | 3.16021i | 0.886038 | + | 0.451459i | ||||
\(50\) | 1.99239 | + | 6.13194i | 0.281766 | + | 0.867187i | ||||
\(51\) | −10.5619 | − | 0.700410i | −1.47896 | − | 0.0980770i | ||||
\(52\) | −0.283278 | + | 0.205813i | −0.0392836 | + | 0.0285412i | ||||
\(53\) | 3.67165 | + | 7.20601i | 0.504340 | + | 0.989822i | 0.993085 | + | 0.117396i | \(0.0374546\pi\) |
−0.488746 | + | 0.872426i | \(0.662545\pi\) | |||||||
\(54\) | −2.36632 | − | 0.980163i | −0.322016 | − | 0.133383i | ||||
\(55\) | 0.237319 | + | 3.59732i | 0.0320000 | + | 0.485062i | ||||
\(56\) | 0.146669 | − | 0.354091i | 0.0195995 | − | 0.0473174i | ||||
\(57\) | −0.00297073 | − | 0.0377467i | −0.000393483 | − | 0.00499967i | ||||
\(58\) | −0.0386956 | − | 0.0237127i | −0.00508098 | − | 0.00311363i | ||||
\(59\) | −0.693237 | − | 4.37693i | −0.0902517 | − | 0.569827i | −0.990828 | − | 0.135129i | \(-0.956855\pi\) |
0.900576 | − | 0.434698i | \(-0.143145\pi\) | |||||||
\(60\) | −1.07822 | + | 2.11614i | −0.139198 | + | 0.273192i | ||||
\(61\) | 7.07956 | − | 6.04652i | 0.906445 | − | 0.774177i | −0.0682609 | − | 0.997668i | \(-0.521745\pi\) |
0.974706 | + | 0.223490i | \(0.0717450\pi\) | |||||||
\(62\) | −13.7732 | − | 3.30666i | −1.74920 | − | 0.419947i | ||||
\(63\) | 0.165610 | + | 0.689815i | 0.0208649 | + | 0.0869085i | ||||
\(64\) | 2.20158 | + | 0.715335i | 0.275197 | + | 0.0894169i | ||||
\(65\) | 0.413171 | + | 0.171141i | 0.0512476 | + | 0.0212274i | ||||
\(66\) | 9.47488 | − | 10.8133i | 1.16628 | − | 1.33103i | ||||
\(67\) | −0.975391 | −0.119163 | −0.0595815 | − | 0.998223i | \(-0.518977\pi\) | ||||
−0.0595815 | + | 0.998223i | \(0.518977\pi\) | |||||||
\(68\) | 2.81326 | − | 2.09740i | 0.341158 | − | 0.254347i | ||||
\(69\) | −11.1392 | + | 8.09312i | −1.34100 | + | 0.974297i | ||||
\(70\) | 0.358139 | − | 0.0567237i | 0.0428058 | − | 0.00677978i | ||||
\(71\) | 0.464812 | − | 5.90600i | 0.0551631 | − | 0.700913i | −0.905705 | − | 0.423908i | \(-0.860658\pi\) |
0.960868 | − | 0.277005i | \(-0.0893420\pi\) | |||||||
\(72\) | −6.62524 | + | 2.15267i | −0.780792 | + | 0.253695i | ||||
\(73\) | −5.69278 | + | 3.48854i | −0.666289 | + | 0.408303i | −0.814109 | − | 0.580712i | \(-0.802774\pi\) |
0.147820 | + | 0.989014i | \(0.452774\pi\) | |||||||
\(74\) | 0.980610 | − | 1.60021i | 0.113994 | − | 0.186021i | ||||
\(75\) | −9.77277 | + | 0.769133i | −1.12846 | + | 0.0888119i | ||||
\(76\) | 0.00887565 | + | 0.00887565i | 0.00101811 | + | 0.00101811i | ||||
\(77\) | −0.652514 | − | 0.0596775i | −0.0743609 | − | 0.00680089i | ||||
\(78\) | −0.682502 | − | 1.64771i | −0.0772781 | − | 0.186566i | ||||
\(79\) | −0.416643 | − | 5.29395i | −0.0468760 | − | 0.595616i | −0.974834 | − | 0.222932i | \(-0.928437\pi\) |
0.927958 | − | 0.372685i | \(-0.121563\pi\) | |||||||
\(80\) | 1.26314 | + | 5.26134i | 0.141223 | + | 0.588236i | ||||
\(81\) | −4.04297 | + | 5.56467i | −0.449219 | + | 0.618297i | ||||
\(82\) | −0.327487 | + | 4.16112i | −0.0361649 | + | 0.459519i | ||||
\(83\) | 3.15832 | + | 1.60925i | 0.346671 | + | 0.176638i | 0.618652 | − | 0.785665i | \(-0.287679\pi\) |
−0.271981 | + | 0.962303i | \(0.587679\pi\) | |||||||
\(84\) | −0.349218 | − | 0.253722i | −0.0381029 | − | 0.0276833i | ||||
\(85\) | −4.16144 | − | 1.66395i | −0.451371 | − | 0.180481i | ||||
\(86\) | 5.68759 | − | 17.5046i | 0.613309 | − | 1.88757i | ||||
\(87\) | 0.0487919 | − | 0.0487919i | 0.00523104 | − | 0.00523104i | ||||
\(88\) | 0.0814820 | − | 6.43367i | 0.00868602 | − | 0.685831i | ||||
\(89\) | − | 7.19606i | − | 0.762781i | −0.924414 | − | 0.381391i | \(-0.875445\pi\) | ||
0.924414 | − | 0.381391i | \(-0.124555\pi\) | |||||||
\(90\) | −5.01157 | − | 4.28028i | −0.528265 | − | 0.451181i | ||||
\(91\) | −0.0424695 | + | 0.0693039i | −0.00445201 | + | 0.00726502i | ||||
\(92\) | 1.06556 | − | 4.43837i | 0.111092 | − | 0.462732i | ||||
\(93\) | 9.77729 | − | 19.1890i | 1.01386 | − | 1.98981i | ||||
\(94\) | −4.10468 | + | 8.05589i | −0.423366 | + | 0.830902i | ||||
\(95\) | 0.00374248 | − | 0.0155886i | 0.000383971 | − | 0.00159935i | ||||
\(96\) | 6.07000 | − | 9.90535i | 0.619517 | − | 1.01096i | ||||
\(97\) | −13.5216 | − | 11.5486i | −1.37291 | − | 1.17258i | −0.965827 | − | 0.259189i | \(-0.916545\pi\) |
−0.407086 | − | 0.913390i | \(-0.633455\pi\) | |||||||
\(98\) | − | 11.7537i | − | 1.18730i | ||||||
\(99\) | 6.87767 | + | 9.72289i | 0.691232 | + | 0.977187i | ||||
\(100\) | 2.29794 | − | 2.29794i | 0.229794 | − | 0.229794i | ||||
\(101\) | 1.71175 | − | 5.26824i | 0.170326 | − | 0.524209i | −0.829063 | − | 0.559155i | \(-0.811126\pi\) |
0.999389 | + | 0.0349454i | \(0.0111257\pi\) | |||||||
\(102\) | 7.04268 | + | 16.4270i | 0.697329 | + | 1.62652i | ||||
\(103\) | −0.544832 | − | 0.395844i | −0.0536839 | − | 0.0390037i | 0.560620 | − | 0.828073i | \(-0.310563\pi\) |
−0.614304 | + | 0.789070i | \(0.710563\pi\) | |||||||
\(104\) | −0.711160 | − | 0.362354i | −0.0697349 | − | 0.0355317i | ||||
\(105\) | −0.0432556 | + | 0.549615i | −0.00422132 | + | 0.0536369i | ||||
\(106\) | 8.02670 | − | 11.0478i | 0.779622 | − | 1.07306i | ||||
\(107\) | −3.13770 | − | 13.0695i | −0.303333 | − | 1.26347i | −0.890863 | − | 0.454271i | \(-0.849900\pi\) |
0.587530 | − | 0.809202i | \(-0.300100\pi\) | |||||||
\(108\) | 0.101289 | + | 1.28700i | 0.00974657 | + | 0.123842i | ||||
\(109\) | 4.11984 | + | 9.94617i | 0.394609 | + | 0.952670i | 0.988922 | + | 0.148436i | \(0.0474240\pi\) |
−0.594313 | + | 0.804234i | \(0.702576\pi\) | |||||||
\(110\) | 5.23015 | − | 3.11463i | 0.498676 | − | 0.296968i | ||||
\(111\) | 2.01773 | + | 2.01773i | 0.191514 | + | 0.191514i | ||||
\(112\) | −0.980395 | + | 0.0771587i | −0.0926386 | + | 0.00729081i | ||||
\(113\) | −5.23167 | + | 8.53731i | −0.492154 | + | 0.803123i | −0.998236 | − | 0.0593624i | \(-0.981093\pi\) |
0.506082 | + | 0.862485i | \(0.331093\pi\) | |||||||
\(114\) | −0.0545117 | + | 0.0334048i | −0.00510549 | + | 0.00312865i | ||||
\(115\) | −5.54445 | + | 1.80150i | −0.517022 | + | 0.167991i | ||||
\(116\) | −0.00179474 | + | 0.0228043i | −0.000166637 | + | 0.00211733i | ||||
\(117\) | 1.45917 | − | 0.231111i | 0.134901 | − | 0.0213662i | ||||
\(118\) | −6.05356 | + | 4.39817i | −0.557275 | + | 0.404884i | ||||
\(119\) | 0.417020 | − | 0.699724i | 0.0382282 | − | 0.0641436i | ||||
\(120\) | −5.41369 | −0.494200 | ||||||||
\(121\) | −10.5444 | + | 3.13315i | −0.958578 | + | 0.284832i | ||||
\(122\) | −14.5238 | − | 6.01596i | −1.31492 | − | 0.544659i | ||||
\(123\) | −6.03566 | − | 1.96110i | −0.544217 | − | 0.176827i | ||||
\(124\) | 1.66668 | + | 6.94222i | 0.149672 | + | 0.623430i | ||||
\(125\) | −9.32072 | − | 2.23771i | −0.833671 | − | 0.200147i | ||||
\(126\) | 0.910857 | − | 0.777946i | 0.0811456 | − | 0.0693049i | ||||
\(127\) | 3.85259 | − | 7.56114i | 0.341862 | − | 0.670943i | −0.654509 | − | 0.756054i | \(-0.727125\pi\) |
0.996371 | + | 0.0851114i | \(0.0271246\pi\) | |||||||
\(128\) | −2.02723 | − | 12.7994i | −0.179184 | − | 1.13132i | ||||
\(129\) | 23.8605 | + | 14.6217i | 2.10080 | + | 1.28737i | ||||
\(130\) | −0.0592464 | − | 0.752797i | −0.00519625 | − | 0.0660247i | ||||
\(131\) | −5.27092 | + | 12.7251i | −0.460523 | + | 1.11180i | 0.507661 | + | 0.861557i | \(0.330510\pi\) |
−0.968183 | + | 0.250243i | \(0.919490\pi\) | |||||||
\(132\) | −7.02437 | − | 1.78078i | −0.611393 | − | 0.154997i | ||||
\(133\) | 0.00269195 | + | 0.00111504i | 0.000233422 | + | 9.66864e-5i | ||||
\(134\) | 0.747704 | + | 1.46745i | 0.0645918 | + | 0.126768i | ||||
\(135\) | 1.33394 | − | 0.969167i | 0.114808 | − | 0.0834126i | ||||
\(136\) | 7.17113 | + | 3.54326i | 0.614919 | + | 0.303832i | ||||
\(137\) | 6.55447 | + | 20.1726i | 0.559986 | + | 1.72346i | 0.682398 | + | 0.730981i | \(0.260937\pi\) |
−0.122412 | + | 0.992479i | \(0.539063\pi\) | |||||||
\(138\) | 20.7149 | + | 10.5548i | 1.76337 | + | 0.898480i | ||||
\(139\) | 9.61714 | + | 15.6937i | 0.815715 | + | 1.33113i | 0.940794 | + | 0.338979i | \(0.110082\pi\) |
−0.125079 | + | 0.992147i | \(0.539918\pi\) | |||||||
\(140\) | −0.107427 | − | 0.147860i | −0.00907923 | − | 0.0124965i | ||||
\(141\) | −10.4531 | − | 8.92779i | −0.880310 | − | 0.751856i | ||||
\(142\) | −9.24174 | + | 3.82805i | −0.775550 | + | 0.321243i | ||||
\(143\) | −0.230511 | + | 1.34493i | −0.0192763 | + | 0.112468i | ||||
\(144\) | 12.6393 | + | 12.6393i | 1.05327 | + | 1.05327i | ||||
\(145\) | 0.0260314 | − | 0.0132637i | 0.00216179 | − | 0.00110149i | ||||
\(146\) | 9.61232 | + | 5.89044i | 0.795522 | + | 0.487496i | ||||
\(147\) | 17.3769 | + | 4.17182i | 1.43322 | + | 0.344086i | ||||
\(148\) | −0.943045 | − | 0.0742192i | −0.0775178 | − | 0.00610078i | ||||
\(149\) | −4.52465 | + | 1.47015i | −0.370674 | + | 0.120439i | −0.488429 | − | 0.872603i | \(-0.662430\pi\) |
0.117756 | + | 0.993043i | \(0.462430\pi\) | |||||||
\(150\) | 8.64863 | + | 14.1133i | 0.706158 | + | 1.15235i | ||||
\(151\) | 1.73163 | − | 10.9331i | 0.140918 | − | 0.889723i | −0.811372 | − | 0.584530i | \(-0.801279\pi\) |
0.952290 | − | 0.305193i | \(-0.0987210\pi\) | |||||||
\(152\) | −0.00884155 | + | 0.0272115i | −0.000717144 | + | 0.00220714i | ||||
\(153\) | −14.5936 | + | 2.49610i | −1.17982 | + | 0.201797i | ||||
\(154\) | 0.410413 | + | 1.02744i | 0.0330721 | + | 0.0827934i | ||||
\(155\) | 6.44780 | − | 6.44780i | 0.517899 | − | 0.517899i | ||||
\(156\) | −0.583809 | + | 0.683552i | −0.0467421 | + | 0.0547280i | ||||
\(157\) | −10.6721 | − | 14.6889i | −0.851729 | − | 1.17230i | −0.983479 | − | 0.181021i | \(-0.942060\pi\) |
0.131750 | − | 0.991283i | \(-0.457940\pi\) | |||||||
\(158\) | −7.64523 | + | 4.68501i | −0.608222 | + | 0.372719i | ||||
\(159\) | 13.4843 | + | 15.7881i | 1.06938 | + | 1.25208i | ||||
\(160\) | 3.74028 | − | 3.19450i | 0.295695 | − | 0.252547i | ||||
\(161\) | −0.165753 | − | 1.04652i | −0.0130632 | − | 0.0824776i | ||||
\(162\) | 11.4711 | + | 1.81685i | 0.901256 | + | 0.142745i | ||||
\(163\) | −5.12514 | + | 0.403357i | −0.401432 | + | 0.0315934i | −0.277568 | − | 0.960706i | \(-0.589529\pi\) |
−0.123864 | + | 0.992299i | \(0.539529\pi\) | |||||||
\(164\) | 1.94370 | − | 0.805106i | 0.151777 | − | 0.0628682i | ||||
\(165\) | 2.74836 | + | 8.83788i | 0.213959 | + | 0.688028i | ||||
\(166\) | − | 5.98521i | − | 0.464543i | ||||||
\(167\) | 10.0469 | − | 11.7635i | 0.777455 | − | 0.910283i | −0.220422 | − | 0.975405i | \(-0.570743\pi\) |
0.997877 | + | 0.0651214i | \(0.0207435\pi\) | |||||||
\(168\) | 0.153923 | − | 0.971830i | 0.0118754 | − | 0.0749784i | ||||
\(169\) | −10.3803 | − | 7.54171i | −0.798483 | − | 0.580132i | ||||
\(170\) | 0.686654 | + | 7.53631i | 0.0526640 | + | 0.578009i | ||||
\(171\) | −0.0163655 | − | 0.0503679i | −0.00125150 | − | 0.00385173i | ||||
\(172\) | −9.16279 | + | 1.45124i | −0.698656 | + | 0.110656i | ||||
\(173\) | −20.1326 | + | 4.83340i | −1.53065 | + | 0.367477i | −0.909329 | − | 0.416079i | \(-0.863404\pi\) |
−0.621322 | + | 0.783555i | \(0.713404\pi\) | |||||||
\(174\) | −0.110808 | − | 0.0360038i | −0.00840037 | − | 0.00272944i | ||||
\(175\) | 0.288689 | − | 0.696956i | 0.0218228 | − | 0.0526849i | ||||
\(176\) | −14.8039 | + | 7.30830i | −1.11588 | + | 0.550883i | ||||
\(177\) | −4.35371 | − | 10.5108i | −0.327245 | − | 0.790040i | ||||
\(178\) | −10.8263 | + | 5.51627i | −0.811465 | + | 0.413462i | ||||
\(179\) | 10.3923 | + | 1.64598i | 0.776760 | + | 0.123027i | 0.532213 | − | 0.846611i | \(-0.321361\pi\) |
0.244547 | + | 0.969637i | \(0.421361\pi\) | |||||||
\(180\) | −0.775488 | + | 3.23014i | −0.0578015 | + | 0.240760i | ||||
\(181\) | 11.2183 | + | 13.1350i | 0.833852 | + | 0.976315i | 0.999952 | − | 0.00979371i | \(-0.00311748\pi\) |
−0.166100 | + | 0.986109i | \(0.553117\pi\) | |||||||
\(182\) | 0.136822 | + | 0.0107681i | 0.0101419 | + | 0.000798184i | ||||
\(183\) | 14.0492 | − | 19.3370i | 1.03854 | − | 1.42943i | ||||
\(184\) | 10.1171 | − | 2.42889i | 0.745840 | − | 0.179060i | ||||
\(185\) | 0.548504 | + | 1.07650i | 0.0403268 | + | 0.0791458i | ||||
\(186\) | −36.3643 | −2.66636 | ||||||||
\(187\) | 2.14383 | − | 13.5057i | 0.156772 | − | 0.987635i | ||||
\(188\) | 4.55716 | 0.332365 | ||||||||
\(189\) | 0.136052 | + | 0.267016i | 0.00989630 | + | 0.0194226i | ||||
\(190\) | −0.0263215 | + | 0.00631922i | −0.00190956 | + | 0.000458445i | ||||
\(191\) | 15.2942 | − | 21.0506i | 1.10665 | − | 1.52317i | 0.280382 | − | 0.959889i | \(-0.409539\pi\) |
0.826265 | − | 0.563281i | \(-0.190461\pi\) | |||||||
\(192\) | 5.92458 | + | 0.466274i | 0.427570 | + | 0.0336505i | ||||
\(193\) | −13.8181 | − | 16.1789i | −0.994645 | − | 1.16458i | −0.986358 | − | 0.164614i | \(-0.947362\pi\) |
−0.00828743 | − | 0.999966i | \(-0.502638\pi\) | |||||||
\(194\) | −7.00927 | + | 29.1957i | −0.503236 | + | 2.09613i | ||||
\(195\) | 1.13398 | + | 0.179605i | 0.0812060 | + | 0.0128618i | ||||
\(196\) | −5.27857 | + | 2.68957i | −0.377041 | + | 0.192112i | ||||
\(197\) | −4.96202 | − | 11.9794i | −0.353529 | − | 0.853494i | −0.996179 | − | 0.0873346i | \(-0.972165\pi\) |
0.642650 | − | 0.766160i | \(-0.277835\pi\) | |||||||
\(198\) | 9.35564 | − | 17.8005i | 0.664877 | − | 1.26503i | ||||
\(199\) | 0.206327 | − | 0.498118i | 0.0146262 | − | 0.0353107i | −0.916398 | − | 0.400269i | \(-0.868917\pi\) |
0.931024 | + | 0.364958i | \(0.118917\pi\) | |||||||
\(200\) | 7.04516 | + | 2.28911i | 0.498168 | + | 0.161865i | ||||
\(201\) | −2.43490 | + | 0.584568i | −0.171745 | + | 0.0412322i | ||||
\(202\) | −9.23811 | + | 1.46317i | −0.649991 | + | 0.102949i | ||||
\(203\) | 0.00164088 | + | 0.00505010i | 0.000115167 | + | 0.000354448i | ||||
\(204\) | 5.76582 | − | 6.92183i | 0.403688 | − | 0.484625i | ||||
\(205\) | −2.17385 | − | 1.57940i | −0.151829 | − | 0.110310i | ||||
\(206\) | −0.177886 | + | 1.12313i | −0.0123939 | + | 0.0782520i | ||||
\(207\) | −12.5075 | + | 14.6443i | −0.869328 | + | 1.01785i | ||||
\(208\) | 2.04799i | 0.142003i | ||||||||
\(209\) | 0.0489114 | 0.000619461i | 0.00338327 | 4.28490e-5i | ||||||
\(210\) | 0.860040 | − | 0.356240i | 0.0593484 | − | 0.0245829i | ||||
\(211\) | −11.0034 | + | 0.865990i | −0.757508 | + | 0.0596172i | −0.451330 | − | 0.892357i | \(-0.649050\pi\) |
−0.306178 | + | 0.951974i | \(0.599050\pi\) | |||||||
\(212\) | −6.79830 | − | 1.07674i | −0.466909 | − | 0.0739511i | ||||
\(213\) | −2.37924 | − | 15.0219i | −0.163023 | − | 1.02928i | ||||
\(214\) | −17.2574 | + | 14.7392i | −1.17969 | + | 1.00755i | ||||
\(215\) | 7.69506 | + | 9.00975i | 0.524799 | + | 0.614460i | ||||
\(216\) | −2.50910 | + | 1.53758i | −0.170722 | + | 0.104619i | ||||
\(217\) | 0.974141 | + | 1.34079i | 0.0661290 | + | 0.0910188i | ||||
\(218\) | 11.8056 | − | 13.8226i | 0.799577 | − | 0.936185i | ||||
\(219\) | −12.1203 | + | 12.1203i | −0.819016 | + | 0.819016i | ||||
\(220\) | −2.59558 | − | 1.63615i | −0.174994 | − | 0.110309i | ||||
\(221\) | −1.38455 | − | 0.980099i | −0.0931350 | − | 0.0659286i | ||||
\(222\) | 1.48890 | − | 4.58235i | 0.0999282 | − | 0.307547i | ||||
\(223\) | 2.26414 | − | 14.2952i | 0.151618 | − | 0.957279i | −0.788154 | − | 0.615478i | \(-0.788963\pi\) |
0.939772 | − | 0.341801i | \(-0.111037\pi\) | |||||||
\(224\) | 0.467111 | + | 0.762257i | 0.0312102 | + | 0.0509304i | ||||
\(225\) | −13.0404 | + | 4.23709i | −0.869362 | + | 0.282473i | ||||
\(226\) | 16.8546 | + | 1.32649i | 1.12115 | + | 0.0882366i | ||||
\(227\) | 26.5459 | + | 6.37312i | 1.76192 | + | 0.422999i | 0.979775 | − | 0.200103i | \(-0.0641277\pi\) |
0.782141 | + | 0.623102i | \(0.214128\pi\) | |||||||
\(228\) | 0.0274759 | + | 0.0168372i | 0.00181964 | + | 0.00111507i | ||||
\(229\) | −23.6136 | + | 12.0317i | −1.56043 | + | 0.795078i | −0.999463 | − | 0.0327608i | \(-0.989570\pi\) |
−0.560966 | + | 0.827839i | \(0.689570\pi\) | |||||||
\(230\) | 6.96051 | + | 6.96051i | 0.458962 | + | 0.458962i | ||||
\(231\) | −1.66466 | + | 0.242088i | −0.109527 | + | 0.0159282i | ||||
\(232\) | −0.0481730 | + | 0.0199539i | −0.00316271 | + | 0.00131004i | ||||
\(233\) | 15.8877 | + | 13.5693i | 1.04084 | + | 0.888958i | 0.993938 | − | 0.109942i | \(-0.0350665\pi\) |
0.0468976 | + | 0.998900i | \(0.485067\pi\) | |||||||
\(234\) | −1.46626 | − | 2.01813i | −0.0958522 | − | 0.131929i | ||||
\(235\) | −3.04116 | − | 4.96272i | −0.198383 | − | 0.323732i | ||||
\(236\) | 3.36044 | + | 1.71223i | 0.218746 | + | 0.111457i | ||||
\(237\) | −4.21283 | − | 12.9658i | −0.273653 | − | 0.842217i | ||||
\(238\) | −1.37239 | − | 0.0910098i | −0.0889590 | − | 0.00589929i | ||||
\(239\) | 13.4588 | − | 9.77836i | 0.870575 | − | 0.632510i | −0.0601664 | − | 0.998188i | \(-0.519163\pi\) |
0.930741 | + | 0.365679i | \(0.119163\pi\) | |||||||
\(240\) | 6.30641 | + | 12.3770i | 0.407077 | + | 0.798934i | ||||
\(241\) | 8.85045 | + | 3.66597i | 0.570107 | + | 0.236146i | 0.649067 | − | 0.760732i | \(-0.275160\pi\) |
−0.0789592 | + | 0.996878i | \(0.525160\pi\) | |||||||
\(242\) | 12.7967 | + | 13.4619i | 0.822604 | + | 0.865366i | ||||
\(243\) | −8.49907 | + | 20.5186i | −0.545215 | + | 1.31627i | ||||
\(244\) | 0.621685 | + | 7.89926i | 0.0397993 | + | 0.505698i | ||||
\(245\) | 6.45151 | + | 3.95349i | 0.412172 | + | 0.252579i | ||||
\(246\) | 1.67631 | + | 10.5838i | 0.106878 | + | 0.674799i | ||||
\(247\) | 0.00275477 | − | 0.00540653i | 0.000175282 | − | 0.000344009i | ||||
\(248\) | −12.3749 | + | 10.5692i | −0.785810 | + | 0.671145i | ||||
\(249\) | 8.84867 | + | 2.12438i | 0.560762 | + | 0.134627i | ||||
\(250\) | 3.77839 | + | 15.7381i | 0.238967 | + | 0.995368i | ||||
\(251\) | −0.753832 | − | 0.244935i | −0.0475815 | − | 0.0154602i | 0.285130 | − | 0.958489i | \(-0.407963\pi\) |
−0.332711 | + | 0.943029i | \(0.607963\pi\) | |||||||
\(252\) | −0.557805 | − | 0.231050i | −0.0351384 | − | 0.0145548i | ||||
\(253\) | −9.10129 | − | 15.2831i | −0.572193 | − | 0.960840i | ||||
\(254\) | −14.3288 | −0.899070 | ||||||||
\(255\) | −11.3856 | − | 1.65976i | −0.712992 | − | 0.103938i | ||||
\(256\) | −13.9569 | + | 10.1403i | −0.872305 | + | 0.633767i | ||||
\(257\) | −23.2372 | + | 3.68041i | −1.44950 | + | 0.229578i | −0.831028 | − | 0.556231i | \(-0.812247\pi\) |
−0.618469 | + | 0.785809i | \(0.712247\pi\) | |||||||
\(258\) | 3.70732 | − | 47.1060i | 0.230808 | − | 2.93269i | ||||
\(259\) | −0.208841 | + | 0.0678566i | −0.0129768 | + | 0.00421640i | ||||
\(260\) | −0.324524 | + | 0.198868i | −0.0201261 | + | 0.0123333i | ||||
\(261\) | 0.0504284 | − | 0.0822916i | 0.00312144 | − | 0.00509372i | ||||
\(262\) | 23.1852 | − | 1.82471i | 1.43238 | − | 0.112731i | ||||
\(263\) | 18.5850 | + | 18.5850i | 1.14600 | + | 1.14600i | 0.987331 | + | 0.158672i | \(0.0507211\pi\) |
0.158672 | + | 0.987331i | \(0.449279\pi\) | |||||||
\(264\) | −3.65240 | − | 16.1094i | −0.224789 | − | 0.991466i | ||||
\(265\) | 3.36418 | + | 8.12185i | 0.206660 | + | 0.498922i | ||||
\(266\) | −0.000386010 | − | 0.00490472i | −2.36678e−5 | − | 0.000300728i | ||||
\(267\) | −4.31272 | − | 17.9638i | −0.263934 | − | 1.09936i | ||||
\(268\) | 0.487937 | − | 0.671587i | 0.0298055 | − | 0.0410237i | ||||
\(269\) | −0.127959 | + | 1.62587i | −0.00780177 | + | 0.0991309i | −0.999585 | − | 0.0287966i | \(-0.990832\pi\) |
0.991784 | + | 0.127927i | \(0.0408325\pi\) | |||||||
\(270\) | −2.48065 | − | 1.26395i | −0.150967 | − | 0.0769217i | ||||
\(271\) | −11.3248 | − | 8.22794i | −0.687932 | − | 0.499812i | 0.188048 | − | 0.982160i | \(-0.439784\pi\) |
−0.875980 | + | 0.482348i | \(0.839784\pi\) | |||||||
\(272\) | −0.252893 | − | 20.5225i | −0.0153339 | − | 1.24436i | ||||
\(273\) | −0.0644830 | + | 0.198458i | −0.00390269 | + | 0.0120112i | ||||
\(274\) | 25.3247 | − | 25.3247i | 1.52992 | − | 1.52992i | ||||
\(275\) | 0.160381 | − | 12.6634i | 0.00967132 | − | 0.763629i | ||||
\(276\) | − | 11.7183i | − | 0.705357i | ||||||
\(277\) | 21.0788 | + | 18.0030i | 1.26650 | + | 1.08170i | 0.992788 | + | 0.119884i | \(0.0382523\pi\) |
0.273714 | + | 0.961811i | \(0.411748\pi\) | |||||||
\(278\) | 16.2387 | − | 26.4991i | 0.973930 | − | 1.58931i | ||||
\(279\) | 7.03209 | − | 29.2908i | 0.421000 | − | 1.75359i | ||||
\(280\) | 0.189135 | − | 0.371198i | 0.0113030 | − | 0.0221833i | ||||
\(281\) | −10.5026 | + | 20.6126i | −0.626534 | + | 1.22964i | 0.331627 | + | 0.943411i | \(0.392403\pi\) |
−0.958161 | + | 0.286231i | \(0.907597\pi\) | |||||||
\(282\) | −5.41862 | + | 22.5702i | −0.322674 | + | 1.34404i | ||||
\(283\) | −1.63094 | + | 2.66145i | −0.0969493 | + | 0.158207i | −0.897438 | − | 0.441142i | \(-0.854574\pi\) |
0.800488 | + | 0.599349i | \(0.204574\pi\) | |||||||
\(284\) | 3.83394 | + | 3.27450i | 0.227503 | + | 0.194306i | ||||
\(285\) | − | 0.0411572i | − | 0.00243794i | ||||||
\(286\) | 2.20011 | − | 0.684179i | 0.130095 | − | 0.0404564i | ||||
\(287\) | 0.345330 | − | 0.345330i | 0.0203842 | − | 0.0203842i | ||||
\(288\) | 5.02127 | − | 15.4539i | 0.295881 | − | 0.910629i | ||||
\(289\) | 13.9953 | + | 9.65041i | 0.823255 | + | 0.567671i | ||||
\(290\) | −0.0399097 | − | 0.0289961i | −0.00234358 | − | 0.00170271i | ||||
\(291\) | −40.6757 | − | 20.7253i | −2.38445 | − | 1.21494i | ||||
\(292\) | 0.445829 | − | 5.66479i | 0.0260901 | − | 0.331507i | ||||
\(293\) | 6.64169 | − | 9.14151i | 0.388012 | − | 0.534053i | −0.569673 | − | 0.821872i | \(-0.692930\pi\) |
0.957685 | + | 0.287819i | \(0.0929301\pi\) | |||||||
\(294\) | −7.04417 | − | 29.3411i | −0.410825 | − | 1.71121i | ||||
\(295\) | −0.377936 | − | 4.80213i | −0.0220043 | − | 0.279591i | ||||
\(296\) | −0.825171 | − | 1.99214i | −0.0479621 | − | 0.115791i | ||||
\(297\) | 3.78389 | + | 3.31553i | 0.219563 | + | 0.192387i | ||||
\(298\) | 5.68025 | + | 5.68025i | 0.329048 | + | 0.329048i | ||||
\(299\) | −2.19976 | + | 0.173125i | −0.127215 | + | 0.0100121i | ||||
\(300\) | 4.35923 | − | 7.11361i | 0.251680 | − | 0.410705i | ||||
\(301\) | −1.83616 | + | 1.12520i | −0.105834 | + | 0.0648554i | ||||
\(302\) | −17.7760 | + | 5.77577i | −1.02289 | + | 0.332358i | ||||
\(303\) | 1.11577 | − | 14.1772i | 0.0640991 | − | 0.814457i | ||||
\(304\) | 0.0725117 | − | 0.0114847i | 0.00415883 | − | 0.000658694i | ||||
\(305\) | 8.18737 | − | 5.94847i | 0.468807 | − | 0.340608i | ||||
\(306\) | 14.9423 | + | 20.0422i | 0.854193 | + | 1.14574i | ||||
\(307\) | 18.8755 | 1.07728 | 0.538641 | − | 0.842536i | \(-0.318938\pi\) | ||||
0.538641 | + | 0.842536i | \(0.318938\pi\) | |||||||
\(308\) | 0.367508 | − | 0.419423i | 0.0209407 | − | 0.0238988i | ||||
\(309\) | −1.59732 | − | 0.661631i | −0.0908683 | − | 0.0376389i | ||||
\(310\) | −14.6432 | − | 4.75787i | −0.831679 | − | 0.270229i | ||||
\(311\) | 6.98715 | + | 29.1036i | 0.396205 | + | 1.65031i | 0.712516 | + | 0.701656i | \(0.247556\pi\) |
−0.316311 | + | 0.948656i | \(0.602444\pi\) | |||||||
\(312\) | −1.99246 | − | 0.478346i | −0.112801 | − | 0.0270810i | ||||
\(313\) | 9.14291 | − | 7.80879i | 0.516788 | − | 0.441379i | −0.352408 | − | 0.935847i | \(-0.614637\pi\) |
0.869196 | + | 0.494468i | \(0.164637\pi\) | |||||||
\(314\) | −13.9182 | + | 27.3160i | −0.785450 | + | 1.54153i | ||||
\(315\) | 0.120631 | + | 0.761634i | 0.00679679 | + | 0.0429132i | ||||
\(316\) | 3.85348 | + | 2.36141i | 0.216775 | + | 0.132840i | ||||
\(317\) | 1.01011 | + | 12.8347i | 0.0567337 | + | 0.720870i | 0.957846 | + | 0.287283i | \(0.0927521\pi\) |
−0.901112 | + | 0.433586i | \(0.857248\pi\) | |||||||
\(318\) | 13.4162 | − | 32.3895i | 0.752342 | − | 1.81631i | ||||
\(319\) | 0.0570308 | + | 0.0685127i | 0.00319311 | + | 0.00383597i | ||||
\(320\) | 2.32471 | + | 0.962925i | 0.129955 | + | 0.0538291i | ||||
\(321\) | −15.6655 | − | 30.7453i | −0.874363 | − | 1.71603i | ||||
\(322\) | −1.44741 | + | 1.05160i | −0.0806608 | + | 0.0586035i | ||||
\(323\) | −0.0269373 | + | 0.0545180i | −0.00149883 | + | 0.00303346i | ||||
\(324\) | −1.80897 | − | 5.56742i | −0.100498 | − | 0.309301i | ||||
\(325\) | −1.39977 | − | 0.713220i | −0.0776454 | − | 0.0395623i | ||||
\(326\) | 4.53561 | + | 7.40145i | 0.251204 | + | 0.409928i | ||||
\(327\) | 16.2454 | + | 22.3599i | 0.898372 | + | 1.23650i | ||||
\(328\) | 3.64661 | + | 3.11450i | 0.201351 | + | 0.171970i | ||||
\(329\) | 0.977342 | − | 0.404828i | 0.0538826 | − | 0.0223189i | ||||
\(330\) | 11.1896 | − | 10.9097i | 0.615965 | − | 0.600558i | ||||
\(331\) | −1.42328 | − | 1.42328i | −0.0782307 | − | 0.0782307i | 0.666909 | − | 0.745139i | \(-0.267617\pi\) |
−0.745139 | + | 0.666909i | \(0.767617\pi\) | |||||||
\(332\) | −2.68796 | + | 1.36958i | −0.147521 | + | 0.0751657i | ||||
\(333\) | 3.40307 | + | 2.08541i | 0.186487 | + | 0.114280i | ||||
\(334\) | −25.3995 | − | 6.09788i | −1.38980 | − | 0.333661i | ||||
\(335\) | −1.05697 | − | 0.0831855i | −0.0577485 | − | 0.00454491i | ||||
\(336\) | −2.40115 | + | 0.780181i | −0.130993 | + | 0.0425623i | ||||
\(337\) | −10.3060 | − | 16.8179i | −0.561406 | − | 0.916131i | −0.999849 | − | 0.0173721i | \(-0.994470\pi\) |
0.438443 | − | 0.898759i | \(-0.355530\pi\) | |||||||
\(338\) | −3.38913 | + | 21.3981i | −0.184344 | + | 1.16390i | ||||
\(339\) | −7.94344 | + | 24.4474i | −0.431429 | + | 1.32780i | ||||
\(340\) | 3.22743 | − | 2.03289i | 0.175032 | − | 0.110249i | ||||
\(341\) | 23.5366 | + | 14.8365i | 1.27458 | + | 0.803442i | ||||
\(342\) | −0.0632319 | + | 0.0632319i | −0.00341919 | + | 0.00341919i | ||||
\(343\) | −1.79128 | + | 2.09731i | −0.0967198 | + | 0.113244i | ||||
\(344\) | −12.4296 | − | 17.1079i | −0.670160 | − | 0.922396i | ||||
\(345\) | −12.7611 | + | 7.82002i | −0.687035 | + | 0.421016i | ||||
\(346\) | 22.7047 | + | 26.5838i | 1.22061 | + | 1.42915i | ||||
\(347\) | −15.9323 | + | 13.6075i | −0.855291 | + | 0.730488i | −0.964656 | − | 0.263514i | \(-0.915119\pi\) |
0.109364 | + | 0.994002i | \(0.465119\pi\) | |||||||
\(348\) | 0.00918673 | + | 0.0580027i | 0.000492460 | + | 0.00310927i | ||||
\(349\) | 12.9247 | + | 2.04708i | 0.691845 | + | 0.109577i | 0.492449 | − | 0.870341i | \(-0.336102\pi\) |
0.199396 | + | 0.979919i | \(0.436102\pi\) | |||||||
\(350\) | −1.26985 | + | 0.0999395i | −0.0678765 | + | 0.00534199i | ||||
\(351\) | 0.576579 | − | 0.238827i | 0.0307755 | − | 0.0127476i | ||||
\(352\) | 12.0292 | + | 8.97467i | 0.641159 | + | 0.478351i | ||||
\(353\) | − | 17.3665i | − | 0.924324i | −0.886795 | − | 0.462162i | \(-0.847074\pi\) | ||
0.886795 | − | 0.462162i | \(-0.152926\pi\) | |||||||
\(354\) | −12.4758 | + | 14.6073i | −0.663082 | + | 0.776369i | ||||
\(355\) | 1.00738 | − | 6.36033i | 0.0534661 | − | 0.337571i | ||||
\(356\) | 4.95472 | + | 3.59981i | 0.262599 | + | 0.190790i | ||||
\(357\) | 0.621665 | − | 1.99667i | 0.0329020 | − | 0.105675i | ||||
\(358\) | −5.49009 | − | 16.8968i | −0.290160 | − | 0.893022i | ||||
\(359\) | −6.54950 | + | 1.03734i | −0.345669 | + | 0.0547486i | −0.326855 | − | 0.945074i | \(-0.605989\pi\) |
−0.0188139 | + | 0.999823i | \(0.505989\pi\) | |||||||
\(360\) | −7.36296 | + | 1.76769i | −0.388062 | + | 0.0931655i | ||||
\(361\) | 18.0699 | + | 5.87126i | 0.951046 | + | 0.309013i | ||||
\(362\) | 11.1616 | − | 26.9466i | 0.586642 | − | 1.41628i | ||||
\(363\) | −24.4445 | + | 14.1408i | −1.28300 | + | 0.742199i | ||||
\(364\) | −0.0264726 | − | 0.0639106i | −0.00138754 | − | 0.00334983i | ||||
\(365\) | −6.46644 | + | 3.29481i | −0.338469 | + | 0.172458i | ||||
\(366\) | −39.8617 | − | 6.31348i | −2.08361 | − | 0.330011i | ||||
\(367\) | −3.32261 | + | 13.8397i | −0.173439 | + | 0.722424i | 0.816070 | + | 0.577953i | \(0.196148\pi\) |
−0.989509 | + | 0.144471i | \(0.953852\pi\) | |||||||
\(368\) | −17.3384 | − | 20.3007i | −0.903828 | − | 1.05825i | ||||
\(369\) | −8.84921 | − | 0.696448i | −0.460672 | − | 0.0362556i | ||||
\(370\) | 1.19910 | − | 1.65042i | 0.0623382 | − | 0.0858012i | ||||
\(371\) | −1.55363 | + | 0.372994i | −0.0806606 | + | 0.0193649i | ||||
\(372\) | 8.32117 | + | 16.3312i | 0.431433 | + | 0.846734i | ||||
\(373\) | −15.0645 | −0.780011 | −0.390005 | − | 0.920813i | \(-0.627527\pi\) | ||||
−0.390005 | + | 0.920813i | \(0.627527\pi\) | |||||||
\(374\) | −21.9624 | + | 7.12770i | −1.13565 | + | 0.368565i | ||||
\(375\) | −24.6087 | −1.27079 | ||||||||
\(376\) | 4.71598 | + | 9.25564i | 0.243208 | + | 0.477323i | ||||
\(377\) | 0.0107526 | − | 0.00258146i | 0.000553785 | − | 0.000132952i | ||||
\(378\) | 0.297427 | − | 0.409373i | 0.0152980 | − | 0.0210559i | ||||
\(379\) | 7.82494 | + | 0.615836i | 0.401940 | + | 0.0316334i | 0.277818 | − | 0.960634i | \(-0.410389\pi\) |
0.124122 | + | 0.992267i | \(0.460389\pi\) | |||||||
\(380\) | 0.00886104 | + | 0.0103750i | 0.000454562 | + | 0.000532224i | ||||
\(381\) | 5.08584 | − | 21.1841i | 0.260556 | − | 1.08529i | ||||
\(382\) | −43.3942 | − | 6.87296i | −2.22024 | − | 0.351651i | ||||
\(383\) | 14.1849 | − | 7.22758i | 0.724816 | − | 0.369312i | −0.0523324 | − | 0.998630i | \(-0.516666\pi\) |
0.777148 | + | 0.629318i | \(0.216666\pi\) | |||||||
\(384\) | −12.7316 | − | 30.7367i | −0.649705 | − | 1.56853i | ||||
\(385\) | −0.702001 | − | 0.120318i | −0.0357773 | − | 0.00613198i | ||||
\(386\) | −13.7482 | + | 33.1911i | −0.699766 | + | 1.68938i | ||||
\(387\) | 37.2260 | + | 12.0955i | 1.89230 | + | 0.614847i | ||||
\(388\) | 14.7157 | − | 3.53293i | 0.747076 | − | 0.179357i | ||||
\(389\) | 11.1239 | − | 1.76185i | 0.564003 | − | 0.0893293i | 0.132079 | − | 0.991239i | \(-0.457835\pi\) |
0.431924 | + | 0.901910i | \(0.357835\pi\) | |||||||
\(390\) | −0.599062 | − | 1.84372i | −0.0303347 | − | 0.0933606i | ||||
\(391\) | 22.0219 | − | 2.00648i | 1.11370 | − | 0.101472i | ||||
\(392\) | −10.9251 | − | 7.93753i | −0.551800 | − | 0.400906i | ||||
\(393\) | −5.53159 | + | 34.9251i | −0.279032 | + | 1.76174i | ||||
\(394\) | −14.2189 | + | 16.6482i | −0.716339 | + | 0.838726i | ||||
\(395\) | − | 5.77227i | − | 0.290434i | ||||||
\(396\) | −10.1350 | − | 0.128360i | −0.509305 | − | 0.00645033i | ||||
\(397\) | 0.529585 | − | 0.219361i | 0.0265791 | − | 0.0110094i | −0.369354 | − | 0.929289i | \(-0.620421\pi\) |
0.395933 | + | 0.918279i | \(0.370421\pi\) | |||||||
\(398\) | −0.907570 | + | 0.0714273i | −0.0454924 | + | 0.00358033i | ||||
\(399\) | 0.00738826 | + | 0.00117019i | 0.000369876 | + | 5.85826e-5i | ||||
\(400\) | −2.97344 | − | 18.7736i | −0.148672 | − | 0.938678i | ||||
\(401\) | 3.90986 | − | 3.33933i | 0.195249 | − | 0.166758i | −0.546449 | − | 0.837492i | \(-0.684021\pi\) |
0.741698 | + | 0.670734i | \(0.234021\pi\) | |||||||
\(402\) | 2.74599 | + | 3.21514i | 0.136957 | + | 0.160356i | ||||
\(403\) | 2.94277 | − | 1.80333i | 0.146590 | − | 0.0898302i | ||||
\(404\) | 2.77105 | + | 3.81402i | 0.137865 | + | 0.189755i | ||||
\(405\) | −4.85570 | + | 5.68529i | −0.241282 | + | 0.282505i | ||||
\(406\) | 0.00633991 | − | 0.00633991i | 0.000314644 | − | 0.000314644i | ||||
\(407\) | −2.83326 | + | 2.35844i | −0.140440 | + | 0.116904i | ||||
\(408\) | 20.0251 | + | 4.54738i | 0.991389 | + | 0.225129i | ||||
\(409\) | −6.53807 | + | 20.1221i | −0.323287 | + | 0.994975i | 0.648921 | + | 0.760856i | \(0.275221\pi\) |
−0.972208 | + | 0.234119i | \(0.924779\pi\) | |||||||
\(410\) | −0.709756 | + | 4.48122i | −0.0350524 | + | 0.221312i | ||||
\(411\) | 28.4519 | + | 46.4293i | 1.40343 | + | 2.29019i | ||||
\(412\) | 0.545102 | − | 0.177114i | 0.0268552 | − | 0.00872580i | ||||
\(413\) | 0.872792 | + | 0.0686902i | 0.0429473 | + | 0.00338003i | ||||
\(414\) | 31.6199 | + | 7.59126i | 1.55403 | + | 0.373090i | ||||
\(415\) | 3.28524 | + | 2.01320i | 0.161266 | + | 0.0988240i | ||||
\(416\) | 1.65883 | − | 0.845218i | 0.0813310 | − | 0.0414402i | ||||
\(417\) | 33.4131 | + | 33.4131i | 1.63625 | + | 1.63625i | ||||
\(418\) | −0.0365620 | − | 0.0740609i | −0.00178831 | − | 0.00362244i | ||||
\(419\) | −6.84721 | + | 2.83621i | −0.334508 | + | 0.138558i | −0.543614 | − | 0.839335i | \(-0.682945\pi\) |
0.209106 | + | 0.977893i | \(0.432945\pi\) | |||||||
\(420\) | −0.356788 | − | 0.304726i | −0.0174095 | − | 0.0148691i | ||||
\(421\) | 0.0803200 | + | 0.110551i | 0.00391456 | + | 0.00538792i | 0.810970 | − | 0.585088i | \(-0.198940\pi\) |
−0.807055 | + | 0.590476i | \(0.798940\pi\) | |||||||
\(422\) | 9.73775 | + | 15.8906i | 0.474026 | + | 0.773540i | ||||
\(423\) | −17.1320 | − | 8.72918i | −0.832986 | − | 0.424427i | ||||
\(424\) | −4.84835 | − | 14.9217i | −0.235457 | − | 0.724661i | ||||
\(425\) | 14.1149 | + | 6.97418i | 0.684674 | + | 0.338298i | ||||
\(426\) | −20.7762 | + | 15.0948i | −1.00661 | + | 0.731347i | ||||
\(427\) | 0.835046 | + | 1.63887i | 0.0404107 | + | 0.0793105i | ||||
\(428\) | 10.5684 | + | 4.37756i | 0.510841 | + | 0.211597i | ||||
\(429\) | 0.230604 | + | 3.49553i | 0.0111337 | + | 0.168766i | ||||
\(430\) | 7.65616 | − | 18.4836i | 0.369213 | − | 0.891359i | ||||
\(431\) | 0.748734 | + | 9.51357i | 0.0360653 | + | 0.458253i | 0.988262 | + | 0.152768i | \(0.0488186\pi\) |
−0.952197 | + | 0.305485i | \(0.901181\pi\) | |||||||
\(432\) | 6.43813 | + | 3.94529i | 0.309754 | + | 0.189818i | ||||
\(433\) | 1.93215 | + | 12.1991i | 0.0928533 | + | 0.586253i | 0.989615 | + | 0.143740i | \(0.0459129\pi\) |
−0.896762 | + | 0.442513i | \(0.854087\pi\) | |||||||
\(434\) | 1.27044 | − | 2.49338i | 0.0609831 | − | 0.119686i | ||||
\(435\) | 0.0570340 | − | 0.0487116i | 0.00273457 | − | 0.00233554i | ||||
\(436\) | −8.90918 | − | 2.13891i | −0.426673 | − | 0.102435i | ||||
\(437\) | 0.0184655 | + | 0.0769142i | 0.000883323 | + | 0.00367931i | ||||
\(438\) | 27.5258 | + | 8.94367i | 1.31523 | + | 0.427345i | ||||
\(439\) | −16.9955 | − | 7.03977i | −0.811152 | − | 0.335990i | −0.0617383 | − | 0.998092i | \(-0.519664\pi\) |
−0.749413 | + | 0.662102i | \(0.769664\pi\) | |||||||
\(440\) | 0.636988 | − | 6.96482i | 0.0303672 | − | 0.332035i | ||||
\(441\) | 24.9959 | 1.19028 | ||||||||
\(442\) | −0.413182 | + | 2.83434i | −0.0196530 | + | 0.134816i | ||||
\(443\) | 23.7303 | − | 17.2411i | 1.12746 | − | 0.819148i | 0.142137 | − | 0.989847i | \(-0.454603\pi\) |
0.985323 | + | 0.170699i | \(0.0546026\pi\) | |||||||
\(444\) | −2.39863 | + | 0.379906i | −0.113834 | + | 0.0180296i | ||||
\(445\) | 0.613711 | − | 7.79794i | 0.0290927 | − | 0.369658i | ||||
\(446\) | −23.2424 | + | 7.55192i | −1.10056 | + | 0.357594i | ||||
\(447\) | −10.4139 | + | 6.38167i | −0.492563 | + | 0.301843i | ||||
\(448\) | −0.238954 | + | 0.389938i | −0.0112895 | + | 0.0184228i | ||||
\(449\) | −0.385546 | + | 0.0303431i | −0.0181950 | + | 0.00143198i | −0.0875533 | − | 0.996160i | \(-0.527905\pi\) |
0.0693583 | + | 0.997592i | \(0.477905\pi\) | |||||||
\(450\) | 16.3710 | + | 16.3710i | 0.771736 | + | 0.771736i | ||||
\(451\) | 3.23317 | − | 7.53424i | 0.152244 | − | 0.354774i | ||||
\(452\) | −3.26108 | − | 7.87294i | −0.153388 | − | 0.370312i | ||||
\(453\) | −2.22966 | − | 28.3305i | −0.104758 | − | 1.33108i | ||||
\(454\) | −10.7611 | − | 44.8231i | −0.505042 | − | 2.10365i | ||||
\(455\) | −0.0519321 | + | 0.0714784i | −0.00243461 | + | 0.00335096i | ||||
\(456\) | −0.00576315 | + | 0.0732278i | −0.000269884 | + | 0.00342921i | ||||
\(457\) | −8.71659 | − | 4.44132i | −0.407745 | − | 0.207756i | 0.238074 | − | 0.971247i | \(-0.423484\pi\) |
−0.645819 | + | 0.763491i | \(0.723484\pi\) | |||||||
\(458\) | 36.2028 | + | 26.3029i | 1.69165 | + | 1.22905i | ||||
\(459\) | −5.74829 | + | 2.46443i | −0.268307 | + | 0.115030i | ||||
\(460\) | 1.53320 | − | 4.71872i | 0.0714861 | − | 0.220011i | ||||
\(461\) | 13.3054 | − | 13.3054i | 0.619696 | − | 0.619696i | −0.325757 | − | 0.945453i | \(-0.605619\pi\) |
0.945453 | + | 0.325757i | \(0.105619\pi\) | |||||||
\(462\) | 1.64029 | + | 2.31886i | 0.0763132 | + | 0.107883i | ||||
\(463\) | 35.2670i | 1.63900i | 0.573082 | + | 0.819498i | \(0.305748\pi\) | ||||
−0.573082 | + | 0.819498i | \(0.694252\pi\) | |||||||
\(464\) | 0.101736 | + | 0.0868911i | 0.00472299 | + | 0.00403382i | ||||
\(465\) | 12.2316 | − | 19.9601i | 0.567226 | − | 0.925628i | ||||
\(466\) | 8.23576 | − | 34.3044i | 0.381514 | − | 1.58912i | ||||
\(467\) | 14.7042 | − | 28.8586i | 0.680428 | − | 1.33542i | −0.249751 | − | 0.968310i | \(-0.580349\pi\) |
0.930179 | − | 0.367106i | \(-0.119651\pi\) | |||||||
\(468\) | −0.570821 | + | 1.12030i | −0.0263862 | + | 0.0517859i | ||||
\(469\) | 0.0449849 | − | 0.187376i | 0.00207721 | − | 0.00865220i | ||||
\(470\) | −5.13503 | + | 8.37961i | −0.236861 | + | 0.386523i | ||||
\(471\) | −35.4445 | − | 30.2725i | −1.63320 | − | 1.39488i | ||||
\(472\) | 8.59699i | 0.395708i | ||||||||
\(473\) | −21.6186 | + | 28.9765i | −0.994024 | + | 1.33234i | ||||
\(474\) | −16.2772 | + | 16.2772i | −0.747639 | + | 0.747639i | ||||
\(475\) | −0.0174028 | + | 0.0535603i | −0.000798494 | + | 0.00245751i | ||||
\(476\) | 0.273169 | + | 0.637167i | 0.0125207 | + | 0.0292045i | ||||
\(477\) | 23.4947 | + | 17.0699i | 1.07575 | + | 0.781578i | ||||
\(478\) | −25.0284 | − | 12.7526i | −1.14477 | − | 0.583290i | ||||
\(479\) | −0.0997815 | + | 1.26784i | −0.00455913 | + | 0.0579293i | −0.998776 | − | 0.0494613i | \(-0.984250\pi\) |
0.994217 | + | 0.107391i | \(0.0342495\pi\) | |||||||
\(480\) | 7.42246 | − | 10.2161i | 0.338788 | − | 0.466301i | ||||
\(481\) | 0.106753 | + | 0.444660i | 0.00486753 | + | 0.0202747i | ||||
\(482\) | −1.26910 | − | 16.1255i | −0.0578061 | − | 0.734496i | ||||
\(483\) | −1.04097 | − | 2.51313i | −0.0473659 | − | 0.114351i | ||||
\(484\) | 3.11751 | − | 8.82747i | 0.141705 | − | 0.401248i | ||||
\(485\) | −13.6677 | − | 13.6677i | −0.620616 | − | 0.620616i | ||||
\(486\) | 37.3848 | − | 2.94225i | 1.69581 | − | 0.133463i | ||||
\(487\) | −7.22846 | + | 11.7958i | −0.327553 | + | 0.534518i | −0.973448 | − | 0.228908i | \(-0.926484\pi\) |
0.645895 | + | 0.763426i | \(0.276484\pi\) | |||||||
\(488\) | −15.4001 | + | 9.43720i | −0.697130 | + | 0.427202i | ||||
\(489\) | −12.5523 | + | 4.07850i | −0.567636 | + | 0.184436i | ||||
\(490\) | 1.00240 | − | 12.7367i | 0.0452840 | − | 0.575388i | ||||
\(491\) | −8.55786 | + | 1.35543i | −0.386211 | + | 0.0611698i | −0.346521 | − | 0.938042i | \(-0.612637\pi\) |
−0.0396899 | + | 0.999212i | \(0.512637\pi\) | |||||||
\(492\) | 4.36960 | − | 3.17470i | 0.196997 | − | 0.143127i | ||||
\(493\) | −0.107431 | + | 0.0271961i | −0.00483843 | + | 0.00122485i | ||||
\(494\) | −0.0102457 | −0.000460976 | ||||||||
\(495\) | 6.62370 | + | 11.1227i | 0.297713 | + | 0.499926i | ||||
\(496\) | 38.5794 | + | 15.9801i | 1.73227 | + | 0.717528i | ||||
\(497\) | 1.11312 | + | 0.361676i | 0.0499304 | + | 0.0162234i | ||||
\(498\) | −3.58704 | − | 14.9411i | −0.160739 | − | 0.669526i | ||||
\(499\) | −15.8527 | − | 3.80590i | −0.709666 | − | 0.170376i | −0.137486 | − | 0.990504i | \(-0.543902\pi\) |
−0.572180 | + | 0.820128i | \(0.693902\pi\) | |||||||
\(500\) | 6.20340 | − | 5.29820i | 0.277424 | − | 0.236943i | ||||
\(501\) | 18.0305 | − | 35.3868i | 0.805542 | − | 1.58096i | ||||
\(502\) | 0.209365 | + | 1.32188i | 0.00934444 | + | 0.0589984i | ||||
\(503\) | −25.5374 | − | 15.6493i | −1.13866 | − | 0.697769i | −0.180375 | − | 0.983598i | \(-0.557731\pi\) |
−0.958281 | + | 0.285828i | \(0.907731\pi\) | |||||||
\(504\) | −0.107979 | − | 1.37201i | −0.00480979 | − | 0.0611141i | ||||
\(505\) | 2.30422 | − | 5.56289i | 0.102537 | − | 0.247545i | ||||
\(506\) | −16.0163 | + | 25.4082i | −0.712010 | + | 1.12953i | ||||
\(507\) | −30.4325 | − | 12.6056i | −1.35156 | − | 0.559832i | ||||
\(508\) | 3.27883 | + | 6.43507i | 0.145475 | + | 0.285510i | ||||
\(509\) | 28.1091 | − | 20.4224i | 1.24591 | − | 0.905209i | 0.247936 | − | 0.968776i | \(-0.420248\pi\) |
0.997978 | + | 0.0635675i | \(0.0202478\pi\) | |||||||
\(510\) | 6.23075 | + | 18.4016i | 0.275902 | + | 0.814837i | ||||
\(511\) | −0.407609 | − | 1.25449i | −0.0180315 | − | 0.0554954i | ||||
\(512\) | 2.86160 | + | 1.45806i | 0.126466 | + | 0.0644376i | ||||
\(513\) | −0.0116893 | − | 0.0190752i | −0.000516095 | − | 0.000842191i | ||||
\(514\) | 23.3500 | + | 32.1385i | 1.02992 | + | 1.41757i | ||||
\(515\) | −0.556642 | − | 0.475418i | −0.0245286 | − | 0.0209494i | ||||
\(516\) | −22.0036 | + | 9.11420i | −0.968656 | + | 0.401230i | ||||
\(517\) | 12.7157 | − | 12.3977i | 0.559237 | − | 0.545248i | ||||
\(518\) | 0.262180 | + | 0.262180i | 0.0115195 | + | 0.0115195i | ||||
\(519\) | −47.3608 | + | 24.1316i | −2.07891 | + | 1.05926i | ||||
\(520\) | −0.739737 | − | 0.453312i | −0.0324396 | − | 0.0198790i | ||||
\(521\) | −5.34186 | − | 1.28247i | −0.234031 | − | 0.0561859i | 0.114733 | − | 0.993396i | \(-0.463399\pi\) |
−0.348764 | + | 0.937210i | \(0.613399\pi\) | |||||||
\(522\) | −0.162462 | − | 0.0127861i | −0.00711079 | − | 0.000559631i | ||||
\(523\) | 42.6367 | − | 13.8535i | 1.86437 | − | 0.605772i | 0.870936 | − | 0.491396i | \(-0.163513\pi\) |
0.993438 | − | 0.114376i | \(-0.0364869\pi\) | |||||||
\(524\) | −6.12489 | − | 9.99491i | −0.267567 | − | 0.436630i | ||||
\(525\) | 0.302966 | − | 1.91285i | 0.0132225 | − | 0.0834836i | ||||
\(526\) | 13.7140 | − | 42.2074i | 0.597960 | − | 1.84033i | ||||
\(527\) | −29.2662 | + | 18.4342i | −1.27485 | + | 0.803005i | ||||
\(528\) | −32.5754 | + | 27.1161i | −1.41766 | + | 1.18008i | ||||
\(529\) | 4.07591 | − | 4.07591i | 0.177214 | − | 0.177214i | ||||
\(530\) | 9.64025 | − | 11.2873i | 0.418746 | − | 0.490288i | ||||
\(531\) | −9.35333 | − | 12.8738i | −0.405900 | − | 0.558673i | ||||
\(532\) | −0.00211438 | + | 0.00129569i | −9.16700e−5 | + | 5.61755e-5i | ||||
\(533\) | −0.660512 | − | 0.773360i | −0.0286099 | − | 0.0334979i | ||||
\(534\) | −23.7200 | + | 20.2588i | −1.02647 | + | 0.876686i | ||||
\(535\) | −2.28552 | − | 14.4302i | −0.0988115 | − | 0.623871i | ||||
\(536\) | 1.86894 | + | 0.296011i | 0.0807260 | + | 0.0127857i | ||||
\(537\) | 26.9292 | − | 2.11937i | 1.16208 | − | 0.0914577i | ||||
\(538\) | 2.54417 | − | 1.05383i | 0.109687 | − | 0.0454337i | ||||
\(539\) | −7.41174 | + | 21.8649i | −0.319246 | + | 0.941786i | ||||
\(540\) | 1.40329i | 0.0603878i | ||||||||
\(541\) | 2.27100 | − | 2.65900i | 0.0976378 | − | 0.114319i | −0.709436 | − | 0.704770i | \(-0.751050\pi\) |
0.807073 | + | 0.590451i | \(0.201050\pi\) | |||||||
\(542\) | −3.69751 | + | 23.3451i | −0.158822 | + | 1.00276i | ||||
\(543\) | 35.8767 | + | 26.0659i | 1.53962 | + | 1.11860i | ||||
\(544\) | −16.5185 | + | 8.67460i | −0.708224 | + | 0.371920i | ||||
\(545\) | 3.61617 | + | 11.1294i | 0.154900 | + | 0.476732i | ||||
\(546\) | 0.348006 | − | 0.0551187i | 0.0148933 | − | 0.00235886i | ||||
\(547\) | −26.6328 | + | 6.39396i | −1.13873 | + | 0.273386i | −0.758607 | − | 0.651548i | \(-0.774120\pi\) |
−0.380127 | + | 0.924934i | \(0.624120\pi\) | |||||||
\(548\) | −17.1683 | − | 5.57832i | −0.733394 | − | 0.238294i | ||||
\(549\) | 12.7938 | − | 30.8869i | 0.546025 | − | 1.31822i | ||||
\(550\) | −19.1746 | + | 9.46604i | −0.817610 | + | 0.403633i | ||||
\(551\) | −0.000151698 | 0 | 0.000366231i | −6.46255e−6 | 0 | 1.56020e-5i | ||||
\(552\) | 23.7999 | − | 12.1267i | 1.01299 | − | 0.516145i | ||||
\(553\) | 1.03620 | + | 0.164118i | 0.0440637 | + | 0.00697900i | ||||
\(554\) | 10.9267 | − | 45.5131i | 0.464232 | − | 1.93366i | ||||
\(555\) | 2.01441 | + | 2.35857i | 0.0855070 | + | 0.100116i | ||||
\(556\) | −15.6166 | − | 1.22905i | −0.662291 | − | 0.0521234i | ||||
\(557\) | 4.43702 | − | 6.10703i | 0.188002 | − | 0.258763i | −0.704603 | − | 0.709602i | \(-0.748875\pi\) |
0.892606 | + | 0.450838i | \(0.148875\pi\) | |||||||
\(558\) | −49.4578 | + | 11.8738i | −2.09371 | + | 0.502656i | ||||
\(559\) | 2.03600 | + | 3.99587i | 0.0861136 | + | 0.169007i | ||||
\(560\) | −1.06897 | −0.0451724 | ||||||||
\(561\) | −2.74247 | − | 34.9996i | −0.115787 | − | 1.47768i | ||||
\(562\) | 39.0621 | 1.64773 | ||||||||
\(563\) | 5.72829 | + | 11.2424i | 0.241418 | + | 0.473810i | 0.979644 | − | 0.200744i | \(-0.0643359\pi\) |
−0.738225 | + | 0.674554i | \(0.764336\pi\) | |||||||
\(564\) | 11.3762 | − | 2.73118i | 0.479024 | − | 0.115004i | ||||
\(565\) | −6.39734 | + | 8.80519i | −0.269138 | + | 0.370437i | ||||
\(566\) | 5.25432 | + | 0.413524i | 0.220855 | + | 0.0173817i | ||||
\(567\) | −0.882529 | − | 1.03331i | −0.0370627 | − | 0.0433949i | ||||
\(568\) | −2.68297 | + | 11.1754i | −0.112575 | + | 0.468909i | ||||
\(569\) | 18.7319 | + | 2.96684i | 0.785281 | + | 0.124376i | 0.536183 | − | 0.844102i | \(-0.319866\pi\) |
0.249098 | + | 0.968478i | \(0.419866\pi\) | |||||||
\(570\) | −0.0619199 | + | 0.0315498i | −0.00259354 | + | 0.00132147i | ||||
\(571\) | −6.75015 | − | 16.2963i | −0.282485 | − | 0.681979i | 0.717408 | − | 0.696654i | \(-0.245329\pi\) |
−0.999892 | + | 0.0146751i | \(0.995329\pi\) | |||||||
\(572\) | −0.810711 | − | 0.831510i | −0.0338975 | − | 0.0347672i | ||||
\(573\) | 25.5634 | − | 61.7154i | 1.06792 | − | 2.57820i | ||||
\(574\) | −0.784260 | − | 0.254822i | −0.0327344 | − | 0.0106360i | ||||
\(575\) | 19.9134 | − | 4.78078i | 0.830446 | − | 0.199372i | ||||
\(576\) | 8.21004 | − | 1.30034i | 0.342085 | − | 0.0541810i | ||||
\(577\) | 0.905279 | + | 2.78616i | 0.0376873 | + | 0.115989i | 0.968130 | − | 0.250447i | \(-0.0805776\pi\) |
−0.930443 | + | 0.366437i | \(0.880578\pi\) | |||||||
\(578\) | 3.79042 | − | 28.4533i | 0.157661 | − | 1.18350i | ||||
\(579\) | −44.1907 | − | 32.1064i | −1.83650 | − | 1.33430i | ||||
\(580\) | −0.00388969 | + | 0.0245586i | −0.000161511 | + | 0.00101974i | ||||
\(581\) | −0.454802 | + | 0.532505i | −0.0188684 | + | 0.0220920i | ||||
\(582\) | 77.0830i | 3.19519i | ||||||||
\(583\) | −21.8983 | + | 15.4902i | −0.906937 | + | 0.641539i | ||||
\(584\) | 11.9666 | − | 4.95673i | 0.495182 | − | 0.205111i | ||||
\(585\) | 1.60093 | − | 0.125996i | 0.0661903 | − | 0.00520929i | ||||
\(586\) | −18.8445 | − | 2.98467i | −0.778458 | − | 0.123296i | ||||
\(587\) | −3.26234 | − | 20.5976i | −0.134651 | − | 0.850154i | −0.958862 | − | 0.283872i | \(-0.908381\pi\) |
0.824211 | − | 0.566283i | \(-0.191619\pi\) | |||||||
\(588\) | −11.5652 | + | 9.87759i | −0.476940 | + | 0.407345i | ||||
\(589\) | −0.0803515 | − | 0.0940795i | −0.00331083 | − | 0.00387648i | ||||
\(590\) | −6.93497 | + | 4.24976i | −0.285508 | + | 0.174960i | ||||
\(591\) | −19.5663 | − | 26.9307i | −0.804849 | − | 1.10778i | ||||
\(592\) | −3.59328 | + | 4.20719i | −0.147683 | + | 0.172914i | ||||
\(593\) | −14.6581 | + | 14.6581i | −0.601935 | + | 0.601935i | −0.940826 | − | 0.338890i | \(-0.889948\pi\) |
0.338890 | + | 0.940826i | \(0.389948\pi\) | |||||||
\(594\) | 2.08753 | − | 8.23434i | 0.0856522 | − | 0.337859i | ||||
\(595\) | 0.511575 | − | 0.722684i | 0.0209725 | − | 0.0296271i | ||||
\(596\) | 1.25120 | − | 3.85080i | 0.0512512 | − | 0.157735i | ||||
\(597\) | 0.216531 | − | 1.36712i | 0.00886203 | − | 0.0559527i | ||||
\(598\) | 1.94672 | + | 3.17677i | 0.0796075 | + | 0.129908i | ||||
\(599\) | −2.84763 | + | 0.925250i | −0.116351 | + | 0.0378047i | −0.366614 | − | 0.930373i | \(-0.619483\pi\) |
0.250263 | + | 0.968178i | \(0.419483\pi\) | |||||||
\(600\) | 18.9590 | + | 1.49210i | 0.773996 | + | 0.0609148i | ||||
\(601\) | 16.6371 | + | 3.99421i | 0.678641 | + | 0.162927i | 0.558091 | − | 0.829780i | \(-0.311534\pi\) |
0.120551 | + | 0.992707i | \(0.461534\pi\) | |||||||
\(602\) | 3.10038 | + | 1.89991i | 0.126362 | + | 0.0774347i | ||||
\(603\) | −3.12074 | + | 1.59010i | −0.127086 | + | 0.0647538i | ||||
\(604\) | 6.66154 | + | 6.66154i | 0.271054 | + | 0.271054i | ||||
\(605\) | −11.6935 | + | 2.49593i | −0.475408 | + | 0.101474i | ||||
\(606\) | −22.1845 | + | 9.18912i | −0.901184 | + | 0.373283i | ||||
\(607\) | −4.26015 | − | 3.63851i | −0.172914 | − | 0.147682i | 0.558780 | − | 0.829316i | \(-0.311270\pi\) |
−0.731694 | + | 0.681634i | \(0.761270\pi\) | |||||||
\(608\) | −0.0392284 | − | 0.0539932i | −0.00159092 | − | 0.00218972i | ||||
\(609\) | 0.00712279 | + | 0.0116233i | 0.000288630 | + | 0.000471001i | ||||
\(610\) | −15.2255 | − | 7.75778i | −0.616462 | − | 0.314103i | ||||
\(611\) | −0.680769 | − | 2.09519i | −0.0275410 | − | 0.0847624i | ||||
\(612\) | 5.58175 | − | 11.2968i | 0.225629 | − | 0.456646i | ||||
\(613\) | −27.5003 | + | 19.9801i | −1.11072 | + | 0.806989i | −0.982778 | − | 0.184792i | \(-0.940839\pi\) |
−0.127947 | + | 0.991781i | \(0.540839\pi\) | |||||||
\(614\) | −14.4694 | − | 28.3977i | −0.583936 | − | 1.14604i | ||||
\(615\) | −6.37322 | − | 2.63988i | −0.256993 | − | 0.106450i | ||||
\(616\) | 1.23217 | + | 0.312373i | 0.0496455 | + | 0.0125859i | ||||
\(617\) | 3.76683 | − | 9.09392i | 0.151647 | − | 0.366108i | −0.829740 | − | 0.558150i | \(-0.811511\pi\) |
0.981387 | + | 0.192043i | \(0.0615112\pi\) | |||||||
\(618\) | 0.229046 | + | 2.91031i | 0.00921360 | + | 0.117070i | ||||
\(619\) | 10.1521 | + | 6.22122i | 0.408048 | + | 0.250052i | 0.711344 | − | 0.702844i | \(-0.248087\pi\) |
−0.303296 | + | 0.952896i | \(0.598087\pi\) | |||||||
\(620\) | 1.21402 | + | 7.66500i | 0.0487561 | + | 0.307834i | ||||
\(621\) | −3.69341 | + | 7.24872i | −0.148211 | + | 0.290881i | ||||
\(622\) | 38.4295 | − | 32.8219i | 1.54088 | − | 1.31604i | ||||
\(623\) | 1.38239 | + | 0.331881i | 0.0553841 | + | 0.0132965i | ||||
\(624\) | 1.22740 | + | 5.11247i | 0.0491351 | + | 0.204663i | ||||
\(625\) | 8.24836 | + | 2.68006i | 0.329935 | + | 0.107202i | ||||
\(626\) | −18.7568 | − | 7.76932i | −0.749672 | − | 0.310524i | ||||
\(627\) | 0.122470 | − | 0.0277670i | 0.00489100 | − | 0.00110891i | ||||
\(628\) | 15.4525 | 0.616622 | ||||||||
\(629\) | −1.12466 | − | 4.44266i | −0.0448432 | − | 0.177141i | ||||
\(630\) | 1.05339 | − | 0.765331i | 0.0419680 | − | 0.0304915i | ||||
\(631\) | −5.45658 | + | 0.864237i | −0.217223 | + | 0.0344047i | −0.264097 | − | 0.964496i | \(-0.585074\pi\) |
0.0468743 | + | 0.998901i | \(0.485074\pi\) | |||||||
\(632\) | −0.808279 | + | 10.2702i | −0.0321516 | + | 0.408525i | ||||
\(633\) | −26.9492 | + | 8.75634i | −1.07114 | + | 0.348033i | ||||
\(634\) | 18.5352 | − | 11.3584i | 0.736127 | − | 0.451099i | ||||
\(635\) | 4.81967 | − | 7.86498i | 0.191263 | − | 0.312112i | ||||
\(636\) | −17.6161 | + | 1.38642i | −0.698525 | + | 0.0549751i | ||||
\(637\) | 2.02509 | + | 2.02509i | 0.0802369 | + | 0.0802369i | ||||
\(638\) | 0.0593576 | − | 0.138321i | 0.00234999 | − | 0.00547618i | ||||
\(639\) | −8.14090 | − | 19.6539i | −0.322049 | − | 0.777495i | ||||
\(640\) | −1.10520 | − | 14.0429i | −0.0436868 | − | 0.555093i | ||||
\(641\) | 10.3144 | + | 42.9624i | 0.407393 | + | 1.69691i | 0.678697 | + | 0.734419i | \(0.262545\pi\) |
−0.271304 | + | 0.962494i | \(0.587455\pi\) | |||||||
\(642\) | −34.2468 | + | 47.1367i | −1.35161 | + | 1.86034i | ||||
\(643\) | 0.798143 | − | 10.1414i | 0.0314757 | − | 0.399937i | −0.960918 | − | 0.276833i | \(-0.910715\pi\) |
0.992394 | − | 0.123104i | \(-0.0392848\pi\) | |||||||
\(644\) | 0.803481 | + | 0.409394i | 0.0316616 | + | 0.0161324i | ||||
\(645\) | 24.6091 | + | 17.8796i | 0.968983 | + | 0.704007i | ||||
\(646\) | 0.102670 | − | 0.00126517i | 0.00403951 | − | 4.97776e-5i | ||||
\(647\) | 10.7778 | − | 33.1706i | 0.423718 | − | 1.30407i | −0.480498 | − | 0.876996i | \(-0.659544\pi\) |
0.904216 | − | 0.427075i | \(-0.140456\pi\) | |||||||
\(648\) | 9.43548 | − | 9.43548i | 0.370661 | − | 0.370661i | ||||
\(649\) | 14.0346 | − | 4.36442i | 0.550907 | − | 0.171318i | ||||
\(650\) | 2.65265i | 0.104046i | ||||||||
\(651\) | 3.23534 | + | 2.76324i | 0.126803 | + | 0.108300i | ||||
\(652\) | 2.28611 | − | 3.73060i | 0.0895311 | − | 0.146102i | ||||
\(653\) | 3.65949 | − | 15.2429i | 0.143207 | − | 0.596500i | −0.853896 | − | 0.520443i | \(-0.825767\pi\) |
0.997103 | − | 0.0760571i | \(-0.0242331\pi\) | |||||||
\(654\) | 21.1866 | − | 41.5811i | 0.828463 | − | 1.62595i | ||||
\(655\) | −6.79703 | + | 13.3399i | −0.265582 | + | 0.521234i | ||||
\(656\) | 2.87258 | − | 11.9651i | 0.112155 | − | 0.467160i | ||||
\(657\) | −12.5269 | + | 20.4420i | −0.488719 | + | 0.797517i | ||||
\(658\) | −1.35825 | − | 1.16006i | −0.0529502 | − | 0.0452238i | ||||
\(659\) | 0.780281i | 0.0303954i | 0.999885 | + | 0.0151977i | \(0.00483777\pi\) | ||||
−0.999885 | + | 0.0151977i | \(0.995162\pi\) | |||||||
\(660\) | −7.46001 | − | 2.52879i | −0.290381 | − | 0.0984331i | ||||
\(661\) | 26.8920 | − | 26.8920i | 1.04598 | − | 1.04598i | 0.0470851 | − | 0.998891i | \(-0.485007\pi\) |
0.998891 | − | 0.0470851i | \(-0.0149932\pi\) | |||||||
\(662\) | −1.05025 | + | 3.23234i | −0.0408191 | + | 0.125628i | ||||
\(663\) | −4.04369 | − | 1.61687i | −0.157044 | − | 0.0627940i | ||||
\(664\) | −5.56327 | − | 4.04195i | −0.215897 | − | 0.156858i | ||||
\(665\) | 0.00282201 | + | 0.00143788i | 0.000109433 | + | 5.57587e-5i | ||||
\(666\) | 0.528753 | − | 6.71844i | 0.0204888 | − | 0.260334i | ||||
\(667\) | −0.0847298 | + | 0.116621i | −0.00328075 | + | 0.00451557i | ||||
\(668\) | 3.07355 | + | 12.8023i | 0.118919 | + | 0.495334i | ||||
\(669\) | −2.91531 | − | 37.0426i | −0.112713 | − | 1.43215i | ||||
\(670\) | 0.685091 | + | 1.65396i | 0.0264674 | + | 0.0638979i | ||||
\(671\) | 23.2244 | + | 20.3498i | 0.896569 | + | 0.785595i | ||||
\(672\) | 1.62290 | + | 1.62290i | 0.0626047 | + | 0.0626047i | ||||
\(673\) | −48.0716 | + | 3.78331i | −1.85302 | + | 0.145836i | −0.955473 | − | 0.295077i | \(-0.904655\pi\) |
−0.897550 | + | 0.440913i | \(0.854655\pi\) | |||||||
\(674\) | −17.4019 | + | 28.3973i | −0.670295 | + | 1.09382i | ||||
\(675\) | −4.93864 | + | 3.02640i | −0.190088 | + | 0.116486i | ||||
\(676\) | 10.3854 | − | 3.37443i | 0.399439 | − | 0.129786i | ||||
\(677\) | −0.356163 | + | 4.52549i | −0.0136885 | + | 0.173929i | 0.986273 | + | 0.165124i | \(0.0528025\pi\) |
−0.999961 | + | 0.00880426i | \(0.997197\pi\) | |||||||
\(678\) | 42.8697 | − | 6.78989i | 1.64640 | − | 0.260764i | ||||
\(679\) | 2.84213 | − | 2.06493i | 0.109071 | − | 0.0792446i | ||||
\(680\) | 7.46874 | + | 4.45120i | 0.286413 | + | 0.170696i | ||||
\(681\) | 70.0870 | 2.68574 | ||||||||
\(682\) | 4.27871 | − | 46.7835i | 0.163840 | − | 1.79143i | ||||
\(683\) | 0.0916550 | + | 0.0379648i | 0.00350708 | + | 0.00145268i | 0.384436 | − | 0.923152i | \(-0.374396\pi\) |
−0.380929 | + | 0.924604i | \(0.624396\pi\) | |||||||
\(684\) | 0.0428666 | + | 0.0139282i | 0.00163905 | + | 0.000532559i | ||||
\(685\) | 5.38228 | + | 22.4188i | 0.205646 | + | 0.856578i | ||||
\(686\) | 4.52849 | + | 1.08719i | 0.172899 | + | 0.0415093i | ||||
\(687\) | −51.7365 | + | 44.1872i | −1.97387 | + | 1.68585i | ||||
\(688\) | −24.6336 | + | 48.3462i | −0.939147 | + | 1.84318i | ||||
\(689\) | 0.520518 | + | 3.28642i | 0.0198302 | + | 0.125203i | ||||
\(690\) | 21.5473 | + | 13.2042i | 0.820291 | + | 0.502675i | ||||
\(691\) | 1.14632 | + | 14.5654i | 0.0436082 | + | 0.554095i | 0.979452 | + | 0.201679i | \(0.0646397\pi\) |
−0.935844 | + | 0.352416i | \(0.885360\pi\) | |||||||
\(692\) | 6.74331 | − | 16.2798i | 0.256342 | − | 0.618865i | ||||
\(693\) | −2.18499 | + | 0.872802i | −0.0830010 | + | 0.0331550i | ||||
\(694\) | 32.6853 | + | 13.5387i | 1.24072 | + | 0.513922i | ||||
\(695\) | 9.08308 | + | 17.8265i | 0.344541 | + | 0.676200i | ||||
\(696\) | −0.108297 | + | 0.0786825i | −0.00410499 | + | 0.00298245i | ||||
\(697\) | 6.71435 | + | 7.66812i | 0.254324 | + | 0.290451i | ||||
\(698\) | −6.82791 | − | 21.0142i | −0.258440 | − | 0.795398i | ||||
\(699\) | 47.7932 | + | 24.3519i | 1.80771 | + | 0.921072i | ||||
\(700\) | 0.335460 | + | 0.547421i | 0.0126792 | + | 0.0206906i | ||||
\(701\) | −7.32590 | − | 10.0832i | −0.276695 | − | 0.380839i | 0.647940 | − | 0.761691i | \(-0.275631\pi\) |
−0.924636 | + | 0.380852i | \(0.875631\pi\) | |||||||
\(702\) | −0.801296 | − | 0.684372i | −0.0302430 | − | 0.0258299i | ||||
\(703\) | 0.0151451 | − | 0.00627329i | 0.000571207 | − | 0.000236602i | ||||
\(704\) | −1.29697 | + | 7.56723i | −0.0488814 | + | 0.285201i | ||||
\(705\) | −10.5660 | − | 10.5660i | −0.397938 | − | 0.397938i | ||||
\(706\) | −26.1274 | + | 13.3126i | −0.983319 | + | 0.501026i | ||||
\(707\) | 0.933099 | + | 0.571804i | 0.0350928 | + | 0.0215049i | ||||
\(708\) | 9.41494 | + | 2.26033i | 0.353835 | + | 0.0849483i | ||||
\(709\) | 32.4207 | + | 2.55156i | 1.21758 | + | 0.0958259i | 0.670922 | − | 0.741528i | \(-0.265898\pi\) |
0.546661 | + | 0.837354i | \(0.315898\pi\) | |||||||
\(710\) | −10.3412 | + | 3.36005i | −0.388098 | + | 0.126101i | ||||
\(711\) | −9.96333 | − | 16.2587i | −0.373654 | − | 0.609748i | ||||
\(712\) | −2.18386 | + | 13.7883i | −0.0818436 | + | 0.516740i | ||||
\(713\) | −13.9030 | + | 42.7891i | −0.520672 | + | 1.60246i | ||||
\(714\) | −3.48049 | + | 0.595307i | −0.130254 | + | 0.0222788i | ||||
\(715\) | −0.364492 | + | 1.43776i | −0.0136312 | + | 0.0537690i | ||||
\(716\) | −6.33205 | + | 6.33205i | −0.236640 | + | 0.236640i | ||||
\(717\) | 27.7372 | − | 32.4761i | 1.03587 | − | 1.21284i | ||||
\(718\) | 6.58129 | + | 9.05837i | 0.245612 | + | 0.338055i | ||||
\(719\) | −4.98416 | + | 3.05430i | −0.185878 | + | 0.113906i | −0.612324 | − | 0.790607i | \(-0.709765\pi\) |
0.426446 | + | 0.904513i | \(0.359765\pi\) | |||||||
\(720\) | 12.6185 | + | 14.7744i | 0.470263 | + | 0.550608i | ||||
\(721\) | 0.101170 | − | 0.0864077i | 0.00376778 | − | 0.00321799i | ||||
\(722\) | −5.01863 | − | 31.6864i | −0.186774 | − | 1.17924i | ||||
\(723\) | 24.2907 | + | 3.84728i | 0.903382 | + | 0.143082i | ||||
\(724\) | −14.6558 | + | 1.15344i | −0.544678 | + | 0.0428671i | ||||
\(725\) | −0.0948187 | + | 0.0392752i | −0.00352148 | + | 0.00145864i | ||||
\(726\) | 40.0128 | + | 25.9362i | 1.48501 | + | 0.962583i | ||||
\(727\) | 26.5958i | 0.986385i | 0.869920 | + | 0.493192i | \(0.164170\pi\) | ||||
−0.869920 | + | 0.493192i | \(0.835830\pi\) | |||||||
\(728\) | 0.102408 | − | 0.119904i | 0.00379549 | − | 0.00444394i | ||||
\(729\) | −5.69137 | + | 35.9339i | −0.210792 | + | 1.33089i | ||||
\(730\) | 9.91393 | + | 7.20289i | 0.366931 | + | 0.266591i | ||||
\(731\) | −20.8958 | − | 39.7905i | −0.772858 | − | 1.47170i | ||||
\(732\) | 6.28609 | + | 19.3466i | 0.232340 | + | 0.715071i | ||||
\(733\) | −15.8375 | + | 2.50841i | −0.584971 | + | 0.0926503i | −0.441903 | − | 0.897063i | \(-0.645697\pi\) |
−0.143068 | + | 0.989713i | \(0.545697\pi\) | |||||||
\(734\) | 23.3684 | − | 5.61026i | 0.862544 | − | 0.207078i | ||||
\(735\) | 18.4745 | + | 6.00273i | 0.681442 | + | 0.221414i | ||||
\(736\) | −9.28750 | + | 22.4220i | −0.342342 | + | 0.826486i | ||||
\(737\) | −0.465562 | − | 3.20133i | −0.0171492 | − | 0.117923i | ||||
\(738\) | 5.73574 | + | 13.8473i | 0.211135 | + | 0.509726i | ||||
\(739\) | −27.5888 | + | 14.0572i | −1.01487 | + | 0.517103i | −0.880610 | − | 0.473843i | \(-0.842867\pi\) |
−0.134263 | + | 0.990946i | \(0.542867\pi\) | |||||||
\(740\) | −1.01559 | − | 0.160854i | −0.0373339 | − | 0.00591310i | ||||
\(741\) | 0.00363659 | − | 0.0151475i | 0.000133593 | − | 0.000556457i | ||||
\(742\) | 1.75213 | + | 2.05148i | 0.0643226 | + | 0.0753120i | ||||
\(743\) | 41.8203 | + | 3.29133i | 1.53424 | + | 0.120747i | 0.817227 | − | 0.576316i | \(-0.195510\pi\) |
0.717010 | + | 0.697063i | \(0.245510\pi\) | |||||||
\(744\) | −24.5577 | + | 33.8008i | −0.900329 | + | 1.23920i | ||||
\(745\) | −5.02847 | + | 1.20723i | −0.184229 | + | 0.0442294i | ||||
\(746\) | 11.5480 | + | 22.6642i | 0.422801 | + | 0.829794i | ||||
\(747\) | 12.7284 | 0.465708 | ||||||||
\(748\) | 8.22665 | + | 8.23229i | 0.300796 | + | 0.301002i | ||||
\(749\) | 2.65539 | 0.0970260 | ||||||||
\(750\) | 18.8643 | + | 37.0232i | 0.688825 | + | 1.35190i | ||||
\(751\) | −33.6721 | + | 8.08395i | −1.22871 | + | 0.294987i | −0.795304 | − | 0.606211i | \(-0.792689\pi\) |
−0.433407 | + | 0.901198i | \(0.642689\pi\) | |||||||
\(752\) | 15.6670 | − | 21.5638i | 0.571318 | − | 0.786351i | ||||
\(753\) | −2.02861 | − | 0.159655i | −0.0739267 | − | 0.00581815i | ||||
\(754\) | −0.0121263 | − | 0.0141981i | −0.000441614 | − | 0.000517064i | ||||
\(755\) | 2.80889 | − | 11.6999i | 0.102226 | − | 0.425801i | ||||
\(756\) | −0.251909 | − | 0.0398984i | −0.00916183 | − | 0.00145109i | ||||
\(757\) | 10.4832 | − | 5.34146i | 0.381018 | − | 0.194139i | −0.252983 | − | 0.967471i | \(-0.581412\pi\) |
0.634001 | + | 0.773332i | \(0.281412\pi\) | |||||||
\(758\) | −5.07184 | − | 12.2445i | −0.184217 | − | 0.444740i | ||||
\(759\) | −31.8793 | − | 32.6971i | −1.15714 | − | 1.18683i | ||||
\(760\) | −0.0119018 | + | 0.0287334i | −0.000431722 | + | 0.00104227i | ||||
\(761\) | −31.8389 | − | 10.3451i | −1.15416 | − | 0.375009i | −0.331450 | − | 0.943473i | \(-0.607538\pi\) |
−0.822708 | + | 0.568464i | \(0.807538\pi\) | |||||||
\(762\) | −35.7695 | + | 8.58750i | −1.29579 | + | 0.311092i | ||||
\(763\) | −2.10069 | + | 0.332717i | −0.0760502 | + | 0.0120452i | ||||
\(764\) | 6.84314 | + | 21.0610i | 0.247576 | + | 0.761961i | ||||
\(765\) | −16.0270 | + | 1.46027i | −0.579459 | + | 0.0527961i | ||||
\(766\) | −21.7474 | − | 15.8004i | −0.785766 | − | 0.570893i | ||||
\(767\) | 0.285214 | − | 1.80077i | 0.0102985 | − | 0.0650220i | ||||
\(768\) | −28.7638 | + | 33.6781i | −1.03792 | + | 1.21525i | ||||
\(769\) | 14.7283i | 0.531116i | 0.964095 | + | 0.265558i | \(0.0855562\pi\) | ||||
−0.964095 | + | 0.265558i | \(0.914444\pi\) | |||||||
\(770\) | 0.357116 | + | 1.14837i | 0.0128696 | + | 0.0413845i | ||||
\(771\) | −55.8021 | + | 23.1140i | −2.00966 | + | 0.832429i | ||||
\(772\) | 18.0521 | − | 1.42073i | 0.649709 | − | 0.0511332i | ||||
\(773\) | −30.9389 | − | 4.90024i | −1.11280 | − | 0.176249i | −0.427147 | − | 0.904182i | \(-0.640481\pi\) |
−0.685649 | + | 0.727933i | \(0.740481\pi\) | |||||||
\(774\) | −10.3390 | − | 65.2776i | −0.371626 | − | 2.34635i | ||||
\(775\) | −24.3576 | + | 20.8033i | −0.874949 | + | 0.747277i | ||||
\(776\) | 22.4040 | + | 26.2317i | 0.804255 | + | 0.941662i | ||||
\(777\) | −0.480669 | + | 0.294555i | −0.0172439 | + | 0.0105671i | ||||
\(778\) | −11.1779 | − | 15.3850i | −0.400746 | − | 0.551579i | ||||
\(779\) | −0.0236778 | + | 0.0277231i | −0.000848343 | + | 0.000993283i | ||||
\(780\) | −0.690934 | + | 0.690934i | −0.0247394 | + | 0.0247394i | ||||
\(781\) | 19.6059 | − | 1.29342i | 0.701556 | − | 0.0462823i | ||||
\(782\) | −19.9000 | − | 31.5933i | −0.711623 | − | 1.12978i | ||||
\(783\) | 0.0125988 | − | 0.0387750i | 0.000450243 | − | 0.00138571i | ||||
\(784\) | −5.42053 | + | 34.2239i | −0.193590 | + | 1.22228i | ||||
\(785\) | −10.3120 | − | 16.8277i | −0.368051 | − | 0.600605i | ||||
\(786\) | 56.7843 | − | 18.4503i | 2.02543 | − | 0.658102i | ||||
\(787\) | −29.5646 | − | 2.32679i | −1.05387 | − | 0.0829410i | −0.460329 | − | 0.887748i | \(-0.652269\pi\) |
−0.593536 | + | 0.804807i | \(0.702269\pi\) | |||||||
\(788\) | 10.7304 | + | 2.57614i | 0.382255 | + | 0.0917712i | ||||
\(789\) | 57.5328 | + | 35.2561i | 2.04822 | + | 1.25515i | ||||
\(790\) | −8.68423 | + | 4.42484i | −0.308971 | + | 0.157429i | ||||
\(791\) | −1.39876 | − | 1.39876i | −0.0497342 | − | 0.0497342i | ||||
\(792\) | −10.2276 | − | 20.7172i | −0.363421 | − | 0.736154i | ||||
\(793\) | 3.53888 | − | 1.46585i | 0.125669 | − | 0.0520539i | ||||
\(794\) | −0.735986 | − | 0.628592i | −0.0261192 | − | 0.0223079i | ||||
\(795\) | 13.2657 | + | 18.2586i | 0.470485 | + | 0.647567i | ||||
\(796\) | 0.239755 | + | 0.391245i | 0.00849790 | + | 0.0138673i | ||||
\(797\) | −5.30196 | − | 2.70148i | −0.187805 | − | 0.0956915i | 0.357560 | − | 0.933890i | \(-0.383609\pi\) |
−0.545365 | + | 0.838199i | \(0.683609\pi\) | |||||||
\(798\) | −0.00390309 | − | 0.0120125i | −0.000138168 | − | 0.000425237i | ||||
\(799\) | 7.08058 | + | 20.9114i | 0.250493 | + | 0.739794i | ||||
\(800\) | −13.9791 | + | 10.1564i | −0.494234 | + | 0.359082i | ||||
\(801\) | −11.7311 | − | 23.0237i | −0.414499 | − | 0.813501i | ||||
\(802\) | −8.02111 | − | 3.32245i | −0.283235 | − | 0.117320i | ||||
\(803\) | −14.1669 | − | 17.0192i | −0.499941 | − | 0.600593i | ||||
\(804\) | 0.815559 | − | 1.96893i | 0.0287626 | − | 0.0694389i | ||||
\(805\) | −0.0903645 | − | 1.14819i | −0.00318493 | − | 0.0404684i | ||||
\(806\) | −4.96889 | − | 3.04494i | −0.175022 | − | 0.107253i | ||||
\(807\) | 0.654982 | + | 4.13539i | 0.0230565 | + | 0.145573i | ||||
\(808\) | −4.87869 | + | 9.57496i | −0.171632 | + | 0.336846i | ||||
\(809\) | 5.86886 | − | 5.01248i | 0.206338 | − | 0.176229i | −0.540274 | − | 0.841489i | \(-0.681679\pi\) |
0.746612 | + | 0.665260i | \(0.231679\pi\) | |||||||
\(810\) | 12.2756 | + | 2.94711i | 0.431321 | + | 0.103551i | ||||
\(811\) | −5.48469 | − | 22.8454i | −0.192594 | − | 0.802210i | −0.982083 | − | 0.188446i | \(-0.939655\pi\) |
0.789490 | − | 0.613763i | \(-0.210345\pi\) | |||||||
\(812\) | −0.00429800 | − | 0.00139650i | −0.000150830 | − | 4.90077e-5i | ||||
\(813\) | −33.2016 | − | 13.7525i | −1.16443 | − | 0.482323i | ||||
\(814\) | 5.72010 | + | 2.45467i | 0.200489 | + | 0.0860360i | ||||
\(815\) | −5.58821 | −0.195746 | ||||||||
\(816\) | −12.9308 | − | 51.0795i | −0.452668 | − | 1.78814i | ||||
\(817\) | 0.130061 | − | 0.0944951i | 0.00455027 | − | 0.00330597i | ||||
\(818\) | 35.2851 | − | 5.58861i | 1.23371 | − | 0.195401i | ||||
\(819\) | −0.0228999 | + | 0.290971i | −0.000800187 | + | 0.0101673i | ||||
\(820\) | 2.17493 | − | 0.706677i | 0.0759518 | − | 0.0246782i | ||||
\(821\) | −34.1107 | + | 20.9031i | −1.19047 | + | 0.729522i | −0.969340 | − | 0.245722i | \(-0.920975\pi\) |
−0.221131 | + | 0.975244i | \(0.570975\pi\) | |||||||
\(822\) | 48.0414 | − | 78.3964i | 1.67563 | − | 2.73439i | ||||
\(823\) | −50.4013 | + | 3.96667i | −1.75688 | + | 0.138269i | −0.915537 | − | 0.402234i | \(-0.868234\pi\) |
−0.841342 | + | 0.540504i | \(0.818234\pi\) | |||||||
\(824\) | 0.923820 | + | 0.923820i | 0.0321828 | + | 0.0321828i | ||||
\(825\) | −7.18900 | − | 31.7081i | −0.250289 | − | 1.10393i | ||||
\(826\) | −0.565712 | − | 1.36575i | −0.0196836 | − | 0.0475205i | ||||
\(827\) | 1.94380 | + | 24.6983i | 0.0675926 | + | 0.858845i | 0.933485 | + | 0.358616i | \(0.116751\pi\) |
−0.865893 | + | 0.500230i | \(0.833249\pi\) | |||||||
\(828\) | −3.82627 | − | 15.9376i | −0.132972 | − | 0.553869i | ||||
\(829\) | −17.9998 | + | 24.7746i | −0.625160 | + | 0.860459i | −0.997716 | − | 0.0675507i | \(-0.978482\pi\) |
0.372556 | + | 0.928010i | \(0.378482\pi\) | |||||||
\(830\) | 0.510445 | − | 6.48581i | 0.0177178 | − | 0.225126i | ||||
\(831\) | 63.4092 | + | 32.3086i | 2.19964 | + | 1.12077i | ||||
\(832\) | 0.770502 | + | 0.559803i | 0.0267124 | + | 0.0194077i | ||||
\(833\) | −20.5431 | − | 20.0429i | −0.711775 | − | 0.694447i | ||||
\(834\) | 24.6558 | − | 75.8826i | 0.853759 | − | 2.62760i | ||||
\(835\) | 11.8905 | − | 11.8905i | 0.411487 | − | 0.411487i | ||||
\(836\) | −0.0248943 | + | 0.0333672i | −0.000860988 | + | 0.00115403i | ||||
\(837\) | − | 12.7249i | − | 0.439838i | ||||||
\(838\) | 9.51586 | + | 8.12731i | 0.328720 | + | 0.280753i | ||||
\(839\) | 21.3948 | − | 34.9131i | 0.738629 | − | 1.20533i | −0.233834 | − | 0.972276i | \(-0.575127\pi\) |
0.972463 | − | 0.233056i | \(-0.0748727\pi\) | |||||||
\(840\) | 0.249679 | − | 1.03999i | 0.00861473 | − | 0.0358829i | ||||
\(841\) | −13.1654 | + | 25.8385i | −0.453979 | + | 0.890984i | ||||
\(842\) | 0.104750 | − | 0.205584i | 0.00360994 | − | 0.00708490i | ||||
\(843\) | −13.8646 | + | 57.7502i | −0.477522 | + | 1.98902i | ||||
\(844\) | 4.90818 | − | 8.00942i | 0.168947 | − | 0.275696i | ||||
\(845\) | −10.6053 | − | 9.05777i | −0.364833 | − | 0.311597i | ||||
\(846\) | 32.4662i | 1.11621i | ||||||||
\(847\) | −0.115583 | − | 2.17010i | −0.00397148 | − | 0.0745656i | ||||
\(848\) | −28.4668 | + | 28.4668i | −0.977554 | + | 0.977554i | ||||
\(849\) | −2.47632 | + | 7.62132i | −0.0849870 | + | 0.261563i | ||||
\(850\) | −0.327558 | − | 26.5817i | −0.0112352 | − | 0.911745i | ||||
\(851\) | −4.82271 | − | 3.50390i | −0.165320 | − | 0.120112i | ||||
\(852\) | 11.5333 | + | 5.87649i | 0.395123 | + | 0.201325i | ||||
\(853\) | 1.38443 | − | 17.5909i | 0.0474020 | − | 0.602299i | −0.926643 | − | 0.375943i | \(-0.877319\pi\) |
0.974045 | − | 0.226356i | \(-0.0726813\pi\) | |||||||
\(854\) | 1.82552 | − | 2.51261i | 0.0624680 | − | 0.0859798i | ||||
\(855\) | −0.0134387 | − | 0.0559763i | −0.000459595 | − | 0.00191435i | ||||
\(856\) | 2.04582 | + | 25.9946i | 0.0699246 | + | 0.888476i | ||||
\(857\) | 7.81972 | + | 18.8785i | 0.267117 | + | 0.644877i | 0.999345 | − | 0.0361823i | \(-0.0115197\pi\) |
−0.732229 | + | 0.681059i | \(0.761520\pi\) | |||||||
\(858\) | 5.08217 | − | 3.02650i | 0.173502 | − | 0.103323i | ||||
\(859\) | −11.3157 | − | 11.3157i | −0.386088 | − | 0.386088i | 0.487202 | − | 0.873289i | \(-0.338018\pi\) |
−0.873289 | + | 0.487202i | \(0.838018\pi\) | |||||||
\(860\) | −10.0529 | + | 0.791183i | −0.342802 | + | 0.0269791i | ||||
\(861\) | 0.655097 | − | 1.06902i | 0.0223257 | − | 0.0364322i | ||||
\(862\) | 13.7390 | − | 8.41925i | 0.467951 | − | 0.286761i | ||||
\(863\) | 37.5160 | − | 12.1897i | 1.27706 | − | 0.414942i | 0.409516 | − | 0.912303i | \(-0.365698\pi\) |
0.867544 | + | 0.497361i | \(0.165698\pi\) | |||||||
\(864\) | 0.538556 | − | 6.84300i | 0.0183220 | − | 0.232804i | ||||
\(865\) | −22.2286 | + | 3.52067i | −0.755797 | + | 0.119706i | ||||
\(866\) | 16.8722 | − | 12.2583i | 0.573339 | − | 0.416555i | ||||
\(867\) | 40.7207 | + | 15.7030i | 1.38295 | + | 0.533302i | ||||
\(868\) | −1.41049 | −0.0478751 | ||||||||
\(869\) | 17.1764 | − | 3.89431i | 0.582670 | − | 0.132105i | ||||
\(870\) | −0.117006 | − | 0.0484654i | −0.00396687 | − | 0.00164313i | ||||
\(871\) | −0.381658 | − | 0.124008i | −0.0129320 | − | 0.00420186i | ||||
\(872\) | −4.87554 | − | 20.3081i | −0.165107 | − | 0.687718i | ||||
\(873\) | −62.0888 | − | 14.9062i | −2.10139 | − | 0.504498i | ||||
\(874\) | 0.101560 | − | 0.0867408i | 0.00343533 | − | 0.00293405i | ||||
\(875\) | 0.859740 | − | 1.68734i | 0.0290645 | − | 0.0570423i | ||||
\(876\) | −2.28207 | − | 14.4084i | −0.0771038 | − | 0.486814i | ||||
\(877\) | −4.01923 | − | 2.46299i | −0.135720 | − | 0.0831691i | 0.452981 | − | 0.891520i | \(-0.350360\pi\) |
−0.588701 | + | 0.808351i | \(0.700360\pi\) | |||||||
\(878\) | 2.43706 | + | 30.9658i | 0.0822468 | + | 1.04504i | ||||
\(879\) | 11.1012 | − | 26.8007i | 0.374435 | − | 0.903966i | ||||
\(880\) | −16.6653 | + | 6.65702i | −0.561788 | + | 0.224408i | ||||
\(881\) | 19.3770 | + | 8.02620i | 0.652826 | + | 0.270409i | 0.684416 | − | 0.729091i | \(-0.260057\pi\) |
−0.0315901 | + | 0.999501i | \(0.510057\pi\) | |||||||
\(882\) | −19.1610 | − | 37.6056i | −0.645185 | − | 1.26625i | ||||
\(883\) | 33.1096 | − | 24.0555i | 1.11423 | − | 0.809533i | 0.130902 | − | 0.991395i | \(-0.458213\pi\) |
0.983324 | + | 0.181863i | \(0.0582126\pi\) | |||||||
\(884\) | 1.36745 | − | 0.463015i | 0.0459922 | − | 0.0155729i | ||||
\(885\) | −3.82145 | − | 11.7612i | −0.128457 | − | 0.395349i | ||||
\(886\) | −44.1297 | − | 22.4852i | −1.48256 | − | 0.755404i | ||||
\(887\) | −19.6755 | − | 32.1075i | −0.660638 | − | 1.07806i | −0.990955 | − | 0.134193i | \(-0.957156\pi\) |
0.330318 | − | 0.943870i | \(-0.392844\pi\) | |||||||
\(888\) | −3.25382 | − | 4.47850i | −0.109191 | − | 0.150289i | ||||
\(889\) | 1.27484 | + | 1.08881i | 0.0427567 | + | 0.0365176i | ||||
\(890\) | −12.2023 | + | 5.05434i | −0.409020 | + | 0.169422i | ||||
\(891\) | −20.1935 | − | 10.6134i | −0.676509 | − | 0.355561i | ||||
\(892\) | 8.71008 | + | 8.71008i | 0.291635 | + | 0.291635i | ||||
\(893\) | −0.0703653 | + | 0.0358529i | −0.00235468 | + | 0.00119977i | ||||
\(894\) | 17.5841 | + | 10.7755i | 0.588099 | + | 0.360388i | ||||
\(895\) | 11.1212 | + | 2.66996i | 0.371740 | + | 0.0892468i | ||||
\(896\) | 2.55231 | + | 0.200871i | 0.0852666 | + | 0.00671063i | ||||
\(897\) | −5.38757 | + | 1.75053i | −0.179886 | + | 0.0584484i | ||||
\(898\) | 0.341197 | + | 0.556784i | 0.0113859 | + | 0.0185801i | ||||
\(899\) | 0.0352716 | − | 0.222696i | 0.00117637 | − | 0.00742732i | ||||
\(900\) | 3.60607 | − | 11.0983i | 0.120202 | − | 0.369945i | ||||
\(901\) | −5.62183 | − | 32.8683i | −0.187290 | − | 1.09500i | ||||
\(902\) | −13.8135 | + | 0.911292i | −0.459940 | + | 0.0303427i | ||||
\(903\) | −3.90931 | + | 3.90931i | −0.130094 | + | 0.130094i | ||||
\(904\) | 12.6153 | − | 14.7706i | 0.419578 | − | 0.491263i | ||||
\(905\) | 11.0364 | + | 15.1903i | 0.366863 | + | 0.504943i | ||||
\(906\) | −40.9133 | + | 25.0717i | −1.35925 | + | 0.832951i | ||||
\(907\) | 36.7787 | + | 43.0624i | 1.22122 | + | 1.42986i | 0.869628 | + | 0.493708i | \(0.164359\pi\) |
0.351590 | + | 0.936154i | \(0.385641\pi\) | |||||||
\(908\) | −17.6676 | + | 15.0896i | −0.586321 | + | 0.500765i | ||||
\(909\) | −3.11164 | − | 19.6461i | −0.103207 | − | 0.651622i | ||||
\(910\) | 0.147347 | + | 0.0233375i | 0.00488450 | + | 0.000773629i | ||||
\(911\) | −15.1587 | + | 1.19302i | −0.502231 | + | 0.0395264i | −0.327045 | − | 0.945009i | \(-0.606053\pi\) |
−0.175186 | + | 0.984535i | \(0.556053\pi\) | |||||||
\(912\) | 0.174130 | − | 0.0721271i | 0.00576603 | − | 0.00238837i | ||||
\(913\) | −3.77421 | + | 11.1340i | −0.124908 | + | 0.368483i | ||||
\(914\) | 16.5185i | 0.546382i | ||||||||
\(915\) | 16.8734 | − | 19.7562i | 0.557817 | − | 0.653119i | ||||
\(916\) | 3.52841 | − | 22.2775i | 0.116582 | − | 0.736070i | ||||
\(917\) | −2.20144 | − | 1.59944i | −0.0726980 | − | 0.0528182i | ||||
\(918\) | 8.11414 | + | 6.75900i | 0.267806 | + | 0.223080i | ||||
\(919\) | −4.33209 | − | 13.3328i | −0.142902 | − | 0.439808i | 0.853833 | − | 0.520547i | \(-0.174272\pi\) |
−0.996735 | + | 0.0807390i | \(0.974272\pi\) | |||||||
\(920\) | 11.1704 | − | 1.76922i | 0.368277 | − | 0.0583294i | ||||
\(921\) | 47.1195 | − | 11.3124i | 1.55264 | − | 0.372756i | ||||
\(922\) | −30.2172 | − | 9.81817i | −0.995151 | − | 0.323344i | ||||
\(923\) | 0.932745 | − | 2.25185i | 0.0307017 | − | 0.0741204i | ||||
\(924\) | 0.666056 | − | 1.26727i | 0.0219116 | − | 0.0416902i | ||||
\(925\) | −1.62418 | − | 3.92112i | −0.0534027 | − | 0.128926i | ||||
\(926\) | 53.0583 | − | 27.0346i | 1.74360 | − | 0.888411i | ||||
\(927\) | −2.38849 | − | 0.378300i | −0.0784483 | − | 0.0124250i | ||||
\(928\) | 0.0283929 | − | 0.118265i | 0.000932042 | − | 0.00388224i | ||||
\(929\) | −16.2365 | − | 19.0104i | −0.532701 | − | 0.623712i | 0.427165 | − | 0.904174i | \(-0.359512\pi\) |
−0.959865 | + | 0.280462i | \(0.909512\pi\) | |||||||
\(930\) | −39.4058 | − | 3.10131i | −1.29217 | − | 0.101696i | ||||
\(931\) | 0.0603444 | − | 0.0830570i | 0.00197771 | − | 0.00272208i | ||||
\(932\) | −17.2907 | + | 4.15113i | −0.566375 | + | 0.135975i | ||||
\(933\) | 34.8845 | + | 68.4647i | 1.14207 | + | 2.24143i | ||||
\(934\) | −54.6888 | −1.78947 | ||||||||
\(935\) | 3.47496 | − | 14.4525i | 0.113643 | − | 0.472646i | ||||
\(936\) | −2.86605 | −0.0936799 | ||||||||
\(937\) | −5.09326 | − | 9.99609i | −0.166390 | − | 0.326558i | 0.792723 | − | 0.609582i | \(-0.208663\pi\) |
−0.959113 | + | 0.283024i | \(0.908663\pi\) | |||||||
\(938\) | −0.316386 | + | 0.0759575i | −0.0103304 | + | 0.00248010i | ||||
\(939\) | 18.1438 | − | 24.9728i | 0.592101 | − | 0.814957i | ||||
\(940\) | 4.93832 | + | 0.388654i | 0.161070 | + | 0.0126765i | ||||
\(941\) | −26.7271 | − | 31.2934i | −0.871278 | − | 1.02014i | −0.999597 | − | 0.0284025i | \(-0.990958\pi\) |
0.128319 | − | 0.991733i | \(-0.459042\pi\) | |||||||
\(942\) | −18.3735 | + | 76.5313i | −0.598642 | + | 2.49352i | ||||
\(943\) | 13.0946 | + | 2.07399i | 0.426420 | + | 0.0675383i | ||||
\(944\) | 19.6548 | − | 10.0146i | 0.639710 | − | 0.325949i | ||||
\(945\) | 0.124659 | + | 0.300952i | 0.00405514 | + | 0.00978998i | ||||
\(946\) | 60.1666 | + | 10.3121i | 1.95618 | + | 0.335277i | ||||
\(947\) | 12.9172 | − | 31.1848i | 0.419752 | − | 1.01337i | −0.562668 | − | 0.826683i | \(-0.690225\pi\) |
0.982419 | − | 0.186687i | \(-0.0597750\pi\) | |||||||
\(948\) | 11.0348 | + | 3.58542i | 0.358393 | + | 0.116449i | ||||
\(949\) | −2.67103 | + | 0.641258i | −0.0867054 | + | 0.0208161i | ||||
\(950\) | 0.0939205 | − | 0.0148755i | 0.00304718 | − | 0.000482626i | ||||
\(951\) | 10.2136 | + | 31.4344i | 0.331200 | + | 1.01933i | ||||
\(952\) | −1.01140 | + | 1.21418i | −0.0327797 | + | 0.0393518i | ||||
\(953\) | 33.1125 | + | 24.0577i | 1.07262 | + | 0.779304i | 0.976381 | − | 0.216054i | \(-0.0693187\pi\) |
0.0962389 | + | 0.995358i | \(0.469319\pi\) | |||||||
\(954\) | 7.67095 | − | 48.4325i | 0.248356 | − | 1.56806i | ||||
\(955\) | 18.3687 | − | 21.5069i | 0.594396 | − | 0.695948i | ||||
\(956\) | 14.1584i | 0.457915i | ||||||||
\(957\) | 0.183429 | + | 0.136851i | 0.00592940 | + | 0.00442376i | ||||
\(958\) | 1.98393 | − | 0.821770i | 0.0640978 | − | 0.0265502i | ||||
\(959\) | −4.17750 | + | 0.328777i | −0.134899 | + | 0.0106168i | ||||
\(960\) | 6.38034 | + | 1.01055i | 0.205925 | + | 0.0326152i | ||||
\(961\) | −6.15918 | − | 38.8875i | −0.198683 | − | 1.25444i | ||||
\(962\) | 0.587146 | − | 0.501470i | 0.0189303 | − | 0.0161680i | ||||
\(963\) | −31.3451 | − | 36.7004i | −1.01008 | − | 1.18265i | ||||
\(964\) | −6.95155 | + | 4.25992i | −0.223894 | + | 0.137203i | ||||
\(965\) | −13.5940 | − | 18.7105i | −0.437606 | − | 0.602313i | ||||
\(966\) | −2.98297 | + | 3.49260i | −0.0959753 | + | 0.112373i | ||||
\(967\) | −17.8002 | + | 17.8002i | −0.572416 | + | 0.572416i | −0.932803 | − | 0.360387i | \(-0.882645\pi\) |
0.360387 | + | 0.932803i | \(0.382645\pi\) | |||||||
\(968\) | 21.1548 | − | 2.80341i | 0.679942 | − | 0.0901050i | ||||
\(969\) | −0.0345711 | + | 0.152239i | −0.00111058 | + | 0.00489062i | ||||
\(970\) | −10.0855 | + | 31.0398i | −0.323824 | + | 0.996629i | ||||
\(971\) | −1.81217 | + | 11.4416i | −0.0581553 | + | 0.367178i | 0.941398 | + | 0.337297i | \(0.109513\pi\) |
−0.999553 | + | 0.0298808i | \(0.990487\pi\) | |||||||
\(972\) | −9.87604 | − | 16.1162i | −0.316774 | − | 0.516928i | ||||
\(973\) | −3.45836 | + | 1.12369i | −0.110870 | + | 0.0360238i | ||||
\(974\) | 23.2876 | + | 1.83277i | 0.746182 | + | 0.0587258i | ||||
\(975\) | −3.92174 | − | 0.941527i | −0.125596 | − | 0.0301530i | ||||
\(976\) | 39.5154 | + | 24.2150i | 1.26486 | + | 0.775105i | ||||
\(977\) | 8.53071 | − | 4.34662i | 0.272922 | − | 0.139061i | −0.312174 | − | 0.950025i | \(-0.601057\pi\) |
0.585095 | + | 0.810965i | \(0.301057\pi\) | |||||||
\(978\) | 15.7582 | + | 15.7582i | 0.503892 | + | 0.503892i | ||||
\(979\) | 23.6182 | − | 3.43474i | 0.754841 | − | 0.109775i | ||||
\(980\) | −5.94945 | + | 2.46434i | −0.190048 | + | 0.0787205i | ||||
\(981\) | 29.3957 | + | 25.1063i | 0.938533 | + | 0.801583i | ||||
\(982\) | 8.59940 | + | 11.8361i | 0.274418 | + | 0.377704i | ||||
\(983\) | 17.2317 | + | 28.1196i | 0.549607 | + | 0.896877i | 0.999992 | + | 0.00404228i | \(0.00128670\pi\) |
−0.450385 | + | 0.892834i | \(0.648713\pi\) | |||||||
\(984\) | 10.9697 | + | 5.58936i | 0.349702 | + | 0.178182i | ||||
\(985\) | −4.35538 | − | 13.4045i | −0.138774 | − | 0.427103i | ||||
\(986\) | 0.123269 | + | 0.140779i | 0.00392567 | + | 0.00448331i | ||||
\(987\) | 2.19715 | − | 1.59632i | 0.0699361 | − | 0.0508115i | ||||
\(988\) | 0.00234450 | + | 0.00460135i | 7.45886e−5 | + | 0.000146388i | ||||
\(989\) | −54.0112 | − | 22.3722i | −1.71745 | − | 0.711393i | ||||
\(990\) | 11.6562 | − | 18.4915i | 0.370460 | − | 0.587698i | ||||
\(991\) | −14.7891 | + | 35.7041i | −0.469792 | + | 1.13418i | 0.494462 | + | 0.869199i | \(0.335365\pi\) |
−0.964254 | + | 0.264980i | \(0.914635\pi\) | |||||||
\(992\) | −2.97836 | − | 37.8436i | −0.0945630 | − | 1.20154i | ||||
\(993\) | −4.40598 | − | 2.69999i | −0.139820 | − | 0.0856816i | ||||
\(994\) | −0.309153 | − | 1.95191i | −0.00980574 | − | 0.0619110i | ||||
\(995\) | 0.266066 | − | 0.522184i | 0.00843486 | − | 0.0165543i | ||||
\(996\) | −5.88923 | + | 5.02987i | −0.186607 | + | 0.159378i | ||||
\(997\) | 41.8417 | + | 10.0453i | 1.32514 | + | 0.318138i | 0.833432 | − | 0.552623i | \(-0.186373\pi\) |
0.491708 | + | 0.870760i | \(0.336373\pi\) | |||||||
\(998\) | 6.42631 | + | 26.7675i | 0.203421 | + | 0.847311i | ||||
\(999\) | 1.60350 | + | 0.521007i | 0.0507324 | + | 0.0164839i |
(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 | 187.2.r.a.9.4 | ✓ | 256 | |
11.5 | even | 5 | inner | 187.2.r.a.60.13 | yes | 256 | |
17.2 | even | 8 | inner | 187.2.r.a.53.13 | yes | 256 | |
187.104 | even | 40 | inner | 187.2.r.a.104.4 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
187.2.r.a.9.4 | ✓ | 256 | 1.1 | even | 1 | trivial | |
187.2.r.a.53.13 | yes | 256 | 17.2 | even | 8 | inner | |
187.2.r.a.60.13 | yes | 256 | 11.5 | even | 5 | inner | |
187.2.r.a.104.4 | yes | 256 | 187.104 | even | 40 | inner |