Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(29,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.w (of order \(10\), degree \(4\), 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: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.5 | ||
Character | \(\chi\) | \(=\) | 462.29 |
Dual form | 462.2.w.a.239.5 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | − | 0.587785i | −0.572061 | − | 0.415627i | ||||
\(3\) | −0.911344 | − | 1.47291i | −0.526164 | − | 0.850383i | ||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | 2.04373 | + | 2.81296i | 0.913985 | + | 1.25799i | 0.965788 | + | 0.259335i | \(0.0835032\pi\) |
−0.0518030 | + | 0.998657i | \(0.516497\pi\) | |||||||
\(6\) | −0.128460 | + | 1.72728i | −0.0524436 | + | 0.705159i | ||||
\(7\) | 0.951057 | − | 0.309017i | 0.359466 | − | 0.116797i | ||||
\(8\) | 0.309017 | − | 0.951057i | 0.109254 | − | 0.336249i | ||||
\(9\) | −1.33891 | + | 2.68465i | −0.446302 | + | 0.894882i | ||||
\(10\) | − | 3.47700i | − | 1.09953i | ||||||
\(11\) | −2.97640 | + | 1.46323i | −0.897418 | + | 0.441180i | ||||
\(12\) | 1.11920 | − | 1.32189i | 0.323084 | − | 0.381597i | ||||
\(13\) | −2.76587 | + | 3.80689i | −0.767114 | + | 1.05584i | 0.229475 | + | 0.973315i | \(0.426299\pi\) |
−0.996589 | + | 0.0825268i | \(0.973701\pi\) | |||||||
\(14\) | −0.951057 | − | 0.309017i | −0.254181 | − | 0.0825883i | ||||
\(15\) | 2.28068 | − | 5.57379i | 0.588868 | − | 1.43915i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | −5.89787 | + | 4.28505i | −1.43044 | + | 1.03928i | −0.440510 | + | 0.897748i | \(0.645202\pi\) |
−0.989934 | + | 0.141531i | \(0.954798\pi\) | |||||||
\(18\) | 2.66119 | − | 1.38494i | 0.627249 | − | 0.326433i | ||||
\(19\) | −2.19110 | − | 0.711931i | −0.502672 | − | 0.163328i | 0.0466948 | − | 0.998909i | \(-0.485131\pi\) |
−0.549367 | + | 0.835581i | \(0.685131\pi\) | |||||||
\(20\) | −2.04373 | + | 2.81296i | −0.456992 | + | 0.628996i | ||||
\(21\) | −1.32189 | − | 1.11920i | −0.288461 | − | 0.244229i | ||||
\(22\) | 3.26802 | + | 0.565707i | 0.696745 | + | 0.120609i | ||||
\(23\) | − | 0.430436i | − | 0.0897521i | −0.998993 | − | 0.0448761i | \(-0.985711\pi\) | ||
0.998993 | − | 0.0448761i | \(-0.0142893\pi\) | |||||||
\(24\) | −1.68244 | + | 0.411586i | −0.343426 | + | 0.0840147i | ||||
\(25\) | −2.19079 | + | 6.74257i | −0.438159 | + | 1.34851i | ||||
\(26\) | 4.47527 | − | 1.45410i | 0.877672 | − | 0.285173i | ||||
\(27\) | 5.17444 | − | 0.474553i | 0.995821 | − | 0.0913279i | ||||
\(28\) | 0.587785 | + | 0.809017i | 0.111081 | + | 0.152890i | ||||
\(29\) | −0.591869 | − | 1.82159i | −0.109907 | − | 0.338260i | 0.880944 | − | 0.473221i | \(-0.156909\pi\) |
−0.990851 | + | 0.134961i | \(0.956909\pi\) | |||||||
\(30\) | −5.12130 | + | 3.16875i | −0.935017 | + | 0.578531i | ||||
\(31\) | −1.01888 | − | 0.740257i | −0.182996 | − | 0.132954i | 0.492516 | − | 0.870303i | \(-0.336077\pi\) |
−0.675512 | + | 0.737349i | \(0.736077\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 4.86772 | + | 3.05045i | 0.847362 | + | 0.531016i | ||||
\(34\) | 7.29017 | 1.25025 | ||||||||
\(35\) | 2.81296 | + | 2.04373i | 0.475476 | + | 0.345454i | ||||
\(36\) | −2.96700 | − | 0.443773i | −0.494499 | − | 0.0739622i | ||||
\(37\) | 0.840914 | + | 2.58807i | 0.138245 | + | 0.425476i | 0.996081 | − | 0.0884491i | \(-0.0281910\pi\) |
−0.857835 | + | 0.513925i | \(0.828191\pi\) | |||||||
\(38\) | 1.35417 | + | 1.86386i | 0.219676 | + | 0.302358i | ||||
\(39\) | 8.12785 | + | 0.604479i | 1.30150 | + | 0.0967941i | ||||
\(40\) | 3.30683 | − | 1.07445i | 0.522855 | − | 0.169886i | ||||
\(41\) | 2.21735 | − | 6.82429i | 0.346291 | − | 1.06578i | −0.614597 | − | 0.788841i | \(-0.710681\pi\) |
0.960889 | − | 0.276935i | \(-0.0893185\pi\) | |||||||
\(42\) | 0.411586 | + | 1.68244i | 0.0635091 | + | 0.259606i | ||||
\(43\) | 11.3359i | 1.72870i | 0.502888 | + | 0.864352i | \(0.332271\pi\) | ||||
−0.502888 | + | 0.864352i | \(0.667729\pi\) | |||||||
\(44\) | −2.31137 | − | 2.37856i | −0.348452 | − | 0.358582i | ||||
\(45\) | −10.2882 | + | 1.72042i | −1.53367 | + | 0.256465i | ||||
\(46\) | −0.253004 | + | 0.348230i | −0.0373034 | + | 0.0513437i | ||||
\(47\) | 10.3469 | + | 3.36191i | 1.50925 | + | 0.490385i | 0.942700 | − | 0.333642i | \(-0.108278\pi\) |
0.566550 | + | 0.824027i | \(0.308278\pi\) | |||||||
\(48\) | 1.60305 | + | 0.655932i | 0.231380 | + | 0.0946756i | ||||
\(49\) | 0.809017 | − | 0.587785i | 0.115574 | − | 0.0839693i | ||||
\(50\) | 5.73557 | − | 4.16714i | 0.811132 | − | 0.589322i | ||||
\(51\) | 11.6865 | + | 4.78186i | 1.63643 | + | 0.669594i | ||||
\(52\) | −4.47527 | − | 1.45410i | −0.620608 | − | 0.201648i | ||||
\(53\) | 4.44566 | − | 6.11893i | 0.610659 | − | 0.840499i | −0.385973 | − | 0.922510i | \(-0.626134\pi\) |
0.996631 | + | 0.0820107i | \(0.0261342\pi\) | |||||||
\(54\) | −4.46514 | − | 2.65754i | −0.607629 | − | 0.361645i | ||||
\(55\) | −10.1990 | − | 5.38203i | −1.37523 | − | 0.725713i | ||||
\(56\) | − | 1.00000i | − | 0.133631i | ||||||
\(57\) | 0.948236 | + | 3.87610i | 0.125597 | + | 0.513401i | ||||
\(58\) | −0.591869 | + | 1.82159i | −0.0777162 | + | 0.239186i | ||||
\(59\) | 7.64560 | − | 2.48420i | 0.995372 | − | 0.323416i | 0.234357 | − | 0.972151i | \(-0.424701\pi\) |
0.761015 | + | 0.648735i | \(0.224701\pi\) | |||||||
\(60\) | 6.00576 | + | 0.446656i | 0.775340 | + | 0.0576631i | ||||
\(61\) | 5.23127 | + | 7.20022i | 0.669795 | + | 0.921894i | 0.999756 | − | 0.0221009i | \(-0.00703550\pi\) |
−0.329961 | + | 0.943995i | \(0.607036\pi\) | |||||||
\(62\) | 0.389176 | + | 1.19776i | 0.0494254 | + | 0.152116i | ||||
\(63\) | −0.443773 | + | 2.96700i | −0.0559102 | + | 0.373806i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | −16.3613 | −2.02937 | ||||||||
\(66\) | −2.14506 | − | 5.32905i | −0.264039 | − | 0.655960i | ||||
\(67\) | −3.79606 | −0.463762 | −0.231881 | − | 0.972744i | \(-0.574488\pi\) | ||||
−0.231881 | + | 0.972744i | \(0.574488\pi\) | |||||||
\(68\) | −5.89787 | − | 4.28505i | −0.715222 | − | 0.519639i | ||||
\(69\) | −0.633992 | + | 0.392275i | −0.0763237 | + | 0.0472244i | ||||
\(70\) | −1.07445 | − | 3.30683i | −0.128422 | − | 0.395241i | ||||
\(71\) | −8.84298 | − | 12.1713i | −1.04947 | − | 1.44447i | −0.889268 | − | 0.457386i | \(-0.848786\pi\) |
−0.160201 | − | 0.987084i | \(-0.551214\pi\) | |||||||
\(72\) | 2.13951 | + | 2.10298i | 0.252143 | + | 0.247838i | ||||
\(73\) | 0.238803 | − | 0.0775919i | 0.0279498 | − | 0.00908145i | −0.295009 | − | 0.955495i | \(-0.595323\pi\) |
0.322959 | + | 0.946413i | \(0.395323\pi\) | |||||||
\(74\) | 0.840914 | − | 2.58807i | 0.0977543 | − | 0.300857i | ||||
\(75\) | 11.9277 | − | 2.91796i | 1.37730 | − | 0.336937i | ||||
\(76\) | − | 2.30386i | − | 0.264270i | ||||||
\(77\) | −2.37856 | + | 2.31137i | −0.271062 | + | 0.263405i | ||||
\(78\) | −6.22026 | − | 5.26646i | −0.704306 | − | 0.596309i | ||||
\(79\) | 4.38751 | − | 6.03889i | 0.493633 | − | 0.679428i | −0.487420 | − | 0.873168i | \(-0.662062\pi\) |
0.981053 | + | 0.193740i | \(0.0620618\pi\) | |||||||
\(80\) | −3.30683 | − | 1.07445i | −0.369715 | − | 0.120128i | ||||
\(81\) | −5.41466 | − | 7.18898i | −0.601629 | − | 0.798776i | ||||
\(82\) | −5.80509 | + | 4.21765i | −0.641065 | + | 0.465761i | ||||
\(83\) | −12.9687 | + | 9.42229i | −1.42350 | + | 1.03423i | −0.432315 | + | 0.901723i | \(0.642303\pi\) |
−0.991182 | + | 0.132508i | \(0.957697\pi\) | |||||||
\(84\) | 0.655932 | − | 1.60305i | 0.0715680 | − | 0.174907i | ||||
\(85\) | −24.1073 | − | 7.83295i | −2.61481 | − | 0.849602i | ||||
\(86\) | 6.66306 | − | 9.17091i | 0.718496 | − | 0.988925i | ||||
\(87\) | −2.14363 | + | 2.53186i | −0.229821 | + | 0.271444i | ||||
\(88\) | 0.471856 | + | 3.28289i | 0.0503000 | + | 0.349957i | ||||
\(89\) | 14.0143i | 1.48551i | 0.669562 | + | 0.742756i | \(0.266482\pi\) | ||||
−0.669562 | + | 0.742756i | \(0.733518\pi\) | |||||||
\(90\) | 9.33453 | + | 4.65538i | 0.983946 | + | 0.490720i | ||||
\(91\) | −1.45410 | + | 4.47527i | −0.152431 | + | 0.469136i | ||||
\(92\) | 0.409369 | − | 0.133012i | 0.0426797 | − | 0.0138675i | ||||
\(93\) | −0.161783 | + | 2.17534i | −0.0167761 | + | 0.225572i | ||||
\(94\) | −6.39473 | − | 8.80159i | −0.659566 | − | 0.907815i | ||||
\(95\) | −2.47539 | − | 7.61846i | −0.253969 | − | 0.781637i | ||||
\(96\) | −0.911344 | − | 1.47291i | −0.0930136 | − | 0.150328i | ||||
\(97\) | 3.63725 | + | 2.64262i | 0.369307 | + | 0.268317i | 0.756923 | − | 0.653504i | \(-0.226702\pi\) |
−0.387617 | + | 0.921821i | \(0.626702\pi\) | |||||||
\(98\) | −1.00000 | −0.101015 | ||||||||
\(99\) | 0.0568642 | − | 9.94971i | 0.00571507 | − | 0.999984i | ||||
\(100\) | −7.08956 | −0.708956 | ||||||||
\(101\) | 3.07121 | + | 2.23137i | 0.305597 | + | 0.222029i | 0.730005 | − | 0.683442i | \(-0.239518\pi\) |
−0.424408 | + | 0.905471i | \(0.639518\pi\) | |||||||
\(102\) | −6.64385 | − | 10.7377i | −0.657839 | − | 1.06319i | ||||
\(103\) | 1.71131 | + | 5.26688i | 0.168621 | + | 0.518961i | 0.999285 | − | 0.0378128i | \(-0.0120391\pi\) |
−0.830664 | + | 0.556774i | \(0.812039\pi\) | |||||||
\(104\) | 2.76587 | + | 3.80689i | 0.271216 | + | 0.373296i | ||||
\(105\) | 0.446656 | − | 6.00576i | 0.0435892 | − | 0.586102i | ||||
\(106\) | −7.19323 | + | 2.33722i | −0.698668 | + | 0.227011i | ||||
\(107\) | 3.41117 | − | 10.4985i | 0.329771 | − | 1.01493i | −0.639470 | − | 0.768816i | \(-0.720846\pi\) |
0.969241 | − | 0.246114i | \(-0.0791537\pi\) | |||||||
\(108\) | 2.05032 | + | 4.77454i | 0.197292 | + | 0.459430i | ||||
\(109\) | − | 8.16265i | − | 0.781840i | −0.920425 | − | 0.390920i | \(-0.872157\pi\) | ||
0.920425 | − | 0.390920i | \(-0.127843\pi\) | |||||||
\(110\) | 5.08766 | + | 10.3490i | 0.485089 | + | 0.986734i | ||||
\(111\) | 3.04562 | − | 3.59721i | 0.289077 | − | 0.341432i | ||||
\(112\) | −0.587785 | + | 0.809017i | −0.0555405 | + | 0.0764449i | ||||
\(113\) | 6.92308 | + | 2.24945i | 0.651269 | + | 0.211610i | 0.615974 | − | 0.787767i | \(-0.288763\pi\) |
0.0352953 | + | 0.999377i | \(0.488763\pi\) | |||||||
\(114\) | 1.51117 | − | 3.69319i | 0.141534 | − | 0.345899i | ||||
\(115\) | 1.21080 | − | 0.879696i | 0.112907 | − | 0.0820321i | ||||
\(116\) | 1.54953 | − | 1.12580i | 0.143871 | − | 0.104528i | ||||
\(117\) | −6.51692 | − | 12.5224i | −0.602490 | − | 1.15770i | ||||
\(118\) | −7.64560 | − | 2.48420i | −0.703834 | − | 0.228690i | ||||
\(119\) | −4.28505 | + | 5.89787i | −0.392810 | + | 0.540657i | ||||
\(120\) | −4.59622 | − | 3.89145i | −0.419576 | − | 0.355239i | ||||
\(121\) | 6.71792 | − | 8.71031i | 0.610720 | − | 0.791847i | ||||
\(122\) | − | 8.89996i | − | 0.805765i | ||||||
\(123\) | −12.0723 | + | 2.95333i | −1.08852 | + | 0.266293i | ||||
\(124\) | 0.389176 | − | 1.19776i | 0.0349490 | − | 0.107562i | ||||
\(125\) | −6.90980 | + | 2.24513i | −0.618032 | + | 0.200811i | ||||
\(126\) | 2.10298 | − | 2.13951i | 0.187348 | − | 0.190602i | ||||
\(127\) | −1.55587 | − | 2.14147i | −0.138061 | − | 0.190025i | 0.734388 | − | 0.678730i | \(-0.237469\pi\) |
−0.872449 | + | 0.488705i | \(0.837469\pi\) | |||||||
\(128\) | 0.309017 | + | 0.951057i | 0.0273135 | + | 0.0840623i | ||||
\(129\) | 16.6967 | − | 10.3309i | 1.47006 | − | 0.909582i | ||||
\(130\) | 13.2366 | + | 9.61693i | 1.16092 | + | 0.843461i | ||||
\(131\) | 4.57260 | 0.399510 | 0.199755 | − | 0.979846i | \(-0.435985\pi\) | ||||
0.199755 | + | 0.979846i | \(0.435985\pi\) | |||||||
\(132\) | −1.39694 | + | 5.57212i | −0.121588 | + | 0.484991i | ||||
\(133\) | −2.30386 | −0.199770 | ||||||||
\(134\) | 3.07107 | + | 2.23127i | 0.265300 | + | 0.192752i | ||||
\(135\) | 11.9101 | + | 13.5856i | 1.02505 | + | 1.16926i | ||||
\(136\) | 2.25279 | + | 6.93336i | 0.193175 | + | 0.594531i | ||||
\(137\) | 9.34209 | + | 12.8583i | 0.798149 | + | 1.09856i | 0.993045 | + | 0.117734i | \(0.0375629\pi\) |
−0.194897 | + | 0.980824i | \(0.562437\pi\) | |||||||
\(138\) | 0.743484 | + | 0.0552939i | 0.0632896 | + | 0.00470693i | ||||
\(139\) | 11.0082 | − | 3.57678i | 0.933702 | − | 0.303378i | 0.197627 | − | 0.980277i | \(-0.436677\pi\) |
0.736076 | + | 0.676899i | \(0.236677\pi\) | |||||||
\(140\) | −1.07445 | + | 3.30683i | −0.0908079 | + | 0.279478i | ||||
\(141\) | −4.47780 | − | 18.3039i | −0.377099 | − | 1.54146i | ||||
\(142\) | 15.0446i | 1.26251i | ||||||||
\(143\) | 2.66198 | − | 15.3779i | 0.222606 | − | 1.28597i | ||||
\(144\) | −0.494799 | − | 2.95891i | −0.0412332 | − | 0.246576i | ||||
\(145\) | 3.91442 | − | 5.38773i | 0.325075 | − | 0.447427i | ||||
\(146\) | −0.238803 | − | 0.0775919i | −0.0197635 | − | 0.00642155i | ||||
\(147\) | −1.60305 | − | 0.655932i | −0.132217 | − | 0.0541004i | ||||
\(148\) | −2.20154 | + | 1.59951i | −0.180966 | + | 0.131479i | ||||
\(149\) | 0.621116 | − | 0.451267i | 0.0508838 | − | 0.0369692i | −0.562053 | − | 0.827101i | \(-0.689988\pi\) |
0.612936 | + | 0.790132i | \(0.289988\pi\) | |||||||
\(150\) | −11.3649 | − | 4.65027i | −0.927938 | − | 0.379693i | ||||
\(151\) | −6.94425 | − | 2.25632i | −0.565115 | − | 0.183617i | 0.0125065 | − | 0.999922i | \(-0.496019\pi\) |
−0.577621 | + | 0.816305i | \(0.696019\pi\) | |||||||
\(152\) | −1.35417 | + | 1.86386i | −0.109838 | + | 0.151179i | ||||
\(153\) | −3.60717 | − | 21.5710i | −0.291622 | − | 1.74391i | ||||
\(154\) | 3.28289 | − | 0.471856i | 0.264543 | − | 0.0380232i | ||||
\(155\) | − | 4.37894i | − | 0.351725i | ||||||
\(156\) | 1.93675 | + | 7.91684i | 0.155064 | + | 0.633854i | ||||
\(157\) | −3.21682 | + | 9.90035i | −0.256730 | + | 0.790134i | 0.736754 | + | 0.676161i | \(0.236358\pi\) |
−0.993484 | + | 0.113973i | \(0.963642\pi\) | |||||||
\(158\) | −7.09914 | + | 2.30665i | −0.564777 | + | 0.183507i | ||||
\(159\) | −13.0641 | − | 0.971597i | −1.03605 | − | 0.0770526i | ||||
\(160\) | 2.04373 | + | 2.81296i | 0.161571 | + | 0.222384i | ||||
\(161\) | −0.133012 | − | 0.409369i | −0.0104828 | − | 0.0322628i | ||||
\(162\) | 0.154978 | + | 8.99867i | 0.0121762 | + | 0.707002i | ||||
\(163\) | 11.3183 | + | 8.22324i | 0.886519 | + | 0.644094i | 0.934968 | − | 0.354732i | \(-0.115428\pi\) |
−0.0484489 | + | 0.998826i | \(0.515428\pi\) | |||||||
\(164\) | 7.17549 | 0.560311 | ||||||||
\(165\) | 1.36753 | + | 19.9270i | 0.106462 | + | 1.55131i | ||||
\(166\) | 16.0302 | 1.24418 | ||||||||
\(167\) | 7.74189 | + | 5.62481i | 0.599085 | + | 0.435261i | 0.845554 | − | 0.533890i | \(-0.179270\pi\) |
−0.246469 | + | 0.969151i | \(0.579270\pi\) | |||||||
\(168\) | −1.47291 | + | 0.911344i | −0.113637 | + | 0.0703117i | ||||
\(169\) | −2.82517 | − | 8.69497i | −0.217321 | − | 0.668844i | ||||
\(170\) | 14.8992 | + | 20.5069i | 1.14271 | + | 1.57281i | ||||
\(171\) | 4.84496 | − | 4.92912i | 0.370503 | − | 0.376939i | ||||
\(172\) | −10.7811 | + | 3.50298i | −0.822047 | + | 0.267099i | ||||
\(173\) | −4.67855 | + | 14.3991i | −0.355704 | + | 1.09474i | 0.599896 | + | 0.800078i | \(0.295208\pi\) |
−0.955600 | + | 0.294666i | \(0.904792\pi\) | |||||||
\(174\) | 3.22242 | − | 0.788323i | 0.244291 | − | 0.0597626i | ||||
\(175\) | 7.08956i | 0.535920i | ||||||||
\(176\) | 1.54789 | − | 2.93326i | 0.116677 | − | 0.221103i | ||||
\(177\) | −10.6268 | − | 8.99728i | −0.798757 | − | 0.676277i | ||||
\(178\) | 8.23739 | − | 11.3378i | 0.617419 | − | 0.849804i | ||||
\(179\) | 1.99067 | + | 0.646807i | 0.148789 | + | 0.0483446i | 0.382465 | − | 0.923970i | \(-0.375075\pi\) |
−0.233675 | + | 0.972315i | \(0.575075\pi\) | |||||||
\(180\) | −4.81543 | − | 9.25298i | −0.358921 | − | 0.689676i | ||||
\(181\) | −6.35936 | + | 4.62035i | −0.472687 | + | 0.343428i | −0.798488 | − | 0.602011i | \(-0.794366\pi\) |
0.325800 | + | 0.945439i | \(0.394366\pi\) | |||||||
\(182\) | 3.80689 | − | 2.76587i | 0.282185 | − | 0.205020i | ||||
\(183\) | 5.83777 | − | 14.2670i | 0.431540 | − | 1.05465i | ||||
\(184\) | −0.409369 | − | 0.133012i | −0.0301791 | − | 0.00980578i | ||||
\(185\) | −5.56152 | + | 7.65477i | −0.408891 | + | 0.562790i | ||||
\(186\) | 1.40952 | − | 1.66479i | 0.103351 | − | 0.122068i | ||||
\(187\) | 11.2844 | − | 21.3840i | 0.825198 | − | 1.56375i | ||||
\(188\) | 10.8794i | 0.793460i | ||||||||
\(189\) | 4.77454 | − | 2.05032i | 0.347296 | − | 0.149139i | ||||
\(190\) | −2.47539 | + | 7.61846i | −0.179583 | + | 0.552701i | ||||
\(191\) | −14.2728 | + | 4.63750i | −1.03274 | + | 0.335558i | −0.775873 | − | 0.630889i | \(-0.782690\pi\) |
−0.256867 | + | 0.966447i | \(0.582690\pi\) | |||||||
\(192\) | −0.128460 | + | 1.72728i | −0.00927081 | + | 0.124656i | ||||
\(193\) | −13.6774 | − | 18.8253i | −0.984521 | − | 1.35508i | −0.934358 | − | 0.356336i | \(-0.884026\pi\) |
−0.0501637 | − | 0.998741i | \(-0.515974\pi\) | |||||||
\(194\) | −1.38931 | − | 4.27585i | −0.0997464 | − | 0.306988i | ||||
\(195\) | 14.9108 | + | 24.0987i | 1.06778 | + | 1.72574i | ||||
\(196\) | 0.809017 | + | 0.587785i | 0.0577869 | + | 0.0419847i | ||||
\(197\) | −11.5478 | −0.822743 | −0.411372 | − | 0.911468i | \(-0.634950\pi\) | ||||
−0.411372 | + | 0.911468i | \(0.634950\pi\) | |||||||
\(198\) | −5.89430 | + | 8.01606i | −0.418890 | + | 0.569677i | ||||
\(199\) | 2.17863 | 0.154439 | 0.0772196 | − | 0.997014i | \(-0.475396\pi\) | ||||
0.0772196 | + | 0.997014i | \(0.475396\pi\) | |||||||
\(200\) | 5.73557 | + | 4.16714i | 0.405566 | + | 0.294661i | ||||
\(201\) | 3.45951 | + | 5.59123i | 0.244015 | + | 0.394375i | ||||
\(202\) | −1.17310 | − | 3.61043i | −0.0825390 | − | 0.254029i | ||||
\(203\) | −1.12580 | − | 1.54953i | −0.0790158 | − | 0.108756i | ||||
\(204\) | −0.936496 | + | 12.5922i | −0.0655679 | + | 0.881628i | ||||
\(205\) | 23.7281 | − | 7.70973i | 1.65724 | − | 0.538471i | ||||
\(206\) | 1.71131 | − | 5.26688i | 0.119233 | − | 0.366961i | ||||
\(207\) | 1.15557 | + | 0.576313i | 0.0803176 | + | 0.0400566i | ||||
\(208\) | − | 4.70557i | − | 0.326273i | ||||||
\(209\) | 7.56330 | − | 1.08709i | 0.523165 | − | 0.0751954i | ||||
\(210\) | −3.89145 | + | 4.59622i | −0.268536 | + | 0.317170i | ||||
\(211\) | −11.2182 | + | 15.4405i | −0.772290 | + | 1.06297i | 0.223801 | + | 0.974635i | \(0.428153\pi\) |
−0.996091 | + | 0.0883315i | \(0.971847\pi\) | |||||||
\(212\) | 7.19323 | + | 2.33722i | 0.494033 | + | 0.160521i | ||||
\(213\) | −9.86822 | + | 24.1171i | −0.676159 | + | 1.65248i | ||||
\(214\) | −8.93057 | + | 6.48844i | −0.610481 | + | 0.443541i | ||||
\(215\) | −31.8873 | + | 23.1675i | −2.17470 | + | 1.58001i | ||||
\(216\) | 1.14766 | − | 5.06783i | 0.0780885 | − | 0.344822i | ||||
\(217\) | −1.19776 | − | 0.389176i | −0.0813093 | − | 0.0264190i | ||||
\(218\) | −4.79789 | + | 6.60372i | −0.324954 | + | 0.447261i | ||||
\(219\) | −0.331918 | − | 0.281022i | −0.0224289 | − | 0.0189897i | ||||
\(220\) | 1.96696 | − | 11.3629i | 0.132613 | − | 0.766089i | ||||
\(221\) | − | 34.3044i | − | 2.30757i | ||||||
\(222\) | −4.57834 | + | 1.12003i | −0.307278 | + | 0.0751716i | ||||
\(223\) | 1.70015 | − | 5.23252i | 0.113850 | − | 0.350395i | −0.877855 | − | 0.478926i | \(-0.841026\pi\) |
0.991706 | + | 0.128531i | \(0.0410262\pi\) | |||||||
\(224\) | 0.951057 | − | 0.309017i | 0.0635451 | − | 0.0206471i | ||||
\(225\) | −15.1682 | − | 14.9092i | −1.01121 | − | 0.993945i | ||||
\(226\) | −4.27870 | − | 5.88913i | −0.284615 | − | 0.391739i | ||||
\(227\) | −5.15058 | − | 15.8519i | −0.341856 | − | 1.05213i | −0.963245 | − | 0.268623i | \(-0.913431\pi\) |
0.621389 | − | 0.783502i | \(-0.286569\pi\) | |||||||
\(228\) | −3.39337 | + | 2.09961i | −0.224731 | + | 0.139050i | ||||
\(229\) | 16.0183 | + | 11.6380i | 1.05852 | + | 0.769060i | 0.973814 | − | 0.227346i | \(-0.0730047\pi\) |
0.0847066 | + | 0.996406i | \(0.473005\pi\) | |||||||
\(230\) | −1.49663 | −0.0986847 | ||||||||
\(231\) | 5.57212 | + | 1.39694i | 0.366619 | + | 0.0919122i | ||||
\(232\) | −1.91533 | −0.125747 | ||||||||
\(233\) | −0.760078 | − | 0.552229i | −0.0497944 | − | 0.0361777i | 0.562610 | − | 0.826723i | \(-0.309797\pi\) |
−0.612404 | + | 0.790545i | \(0.709797\pi\) | |||||||
\(234\) | −2.08821 | + | 13.9614i | −0.136510 | + | 0.912687i | ||||
\(235\) | 11.6894 | + | 35.9762i | 0.762531 | + | 2.34683i | ||||
\(236\) | 4.72524 | + | 6.50373i | 0.307587 | + | 0.423357i | ||||
\(237\) | −12.8932 | − | 0.958888i | −0.837506 | − | 0.0622864i | ||||
\(238\) | 6.93336 | − | 2.25279i | 0.449423 | − | 0.146026i | ||||
\(239\) | 0.403177 | − | 1.24085i | 0.0260793 | − | 0.0802639i | −0.937170 | − | 0.348874i | \(-0.886564\pi\) |
0.963249 | + | 0.268610i | \(0.0865642\pi\) | |||||||
\(240\) | 1.43109 | + | 5.84984i | 0.0923763 | + | 0.377606i | ||||
\(241\) | − | 16.3202i | − | 1.05128i | −0.850709 | − | 0.525638i | \(-0.823827\pi\) | ||
0.850709 | − | 0.525638i | \(-0.176173\pi\) | |||||||
\(242\) | −10.5547 | + | 3.09810i | −0.678482 | + | 0.199153i | ||||
\(243\) | −5.65407 | + | 14.5269i | −0.362709 | + | 0.931902i | ||||
\(244\) | −5.23127 | + | 7.20022i | −0.334898 | + | 0.460947i | ||||
\(245\) | 3.30683 | + | 1.07445i | 0.211265 | + | 0.0686443i | ||||
\(246\) | 11.5026 | + | 4.70663i | 0.733381 | + | 0.300084i | ||||
\(247\) | 8.77053 | − | 6.37216i | 0.558055 | − | 0.405451i | ||||
\(248\) | −1.01888 | + | 0.740257i | −0.0646987 | + | 0.0470064i | ||||
\(249\) | 25.6971 | + | 10.5147i | 1.62849 | + | 0.666342i | ||||
\(250\) | 6.90980 | + | 2.24513i | 0.437014 | + | 0.141995i | ||||
\(251\) | 10.5125 | − | 14.4692i | 0.663544 | − | 0.913291i | −0.336048 | − | 0.941845i | \(-0.609090\pi\) |
0.999592 | + | 0.0285543i | \(0.00909036\pi\) | |||||||
\(252\) | −2.95891 | + | 0.494799i | −0.186394 | + | 0.0311694i | ||||
\(253\) | 0.629827 | + | 1.28115i | 0.0395969 | + | 0.0805452i | ||||
\(254\) | 2.64700i | 0.166088i | ||||||||
\(255\) | 10.4329 | + | 42.6464i | 0.653331 | + | 2.67062i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −7.21157 | + | 2.34318i | −0.449846 | + | 0.146164i | −0.525174 | − | 0.850995i | \(-0.676000\pi\) |
0.0753280 | + | 0.997159i | \(0.476000\pi\) | |||||||
\(258\) | −19.5802 | − | 1.45621i | −1.21901 | − | 0.0906595i | ||||
\(259\) | 1.59951 | + | 2.20154i | 0.0993889 | + | 0.136797i | ||||
\(260\) | −5.05592 | − | 15.5605i | −0.313555 | − | 0.965023i | ||||
\(261\) | 5.68277 | + | 0.849972i | 0.351755 | + | 0.0526119i | ||||
\(262\) | −3.69931 | − | 2.68771i | −0.228544 | − | 0.166047i | ||||
\(263\) | −1.81575 | −0.111964 | −0.0559821 | − | 0.998432i | \(-0.517829\pi\) | ||||
−0.0559821 | + | 0.998432i | \(0.517829\pi\) | |||||||
\(264\) | 4.40536 | − | 3.68684i | 0.271131 | − | 0.226909i | ||||
\(265\) | 26.2980 | 1.61547 | ||||||||
\(266\) | 1.86386 | + | 1.35417i | 0.114281 | + | 0.0830297i | ||||
\(267\) | 20.6417 | − | 12.7718i | 1.26325 | − | 0.781624i | ||||
\(268\) | −1.17305 | − | 3.61026i | −0.0716552 | − | 0.220532i | ||||
\(269\) | 13.1502 | + | 18.0997i | 0.801783 | + | 1.10356i | 0.992540 | + | 0.121922i | \(0.0389057\pi\) |
−0.190757 | + | 0.981637i | \(0.561094\pi\) | |||||||
\(270\) | −1.65002 | − | 17.9915i | −0.100417 | − | 1.09493i | ||||
\(271\) | −16.5899 | + | 5.39039i | −1.00777 | + | 0.327443i | −0.765965 | − | 0.642883i | \(-0.777738\pi\) |
−0.241802 | + | 0.970326i | \(0.577738\pi\) | |||||||
\(272\) | 2.25279 | − | 6.93336i | 0.136595 | − | 0.420397i | ||||
\(273\) | 7.91684 | − | 1.93675i | 0.479149 | − | 0.117217i | ||||
\(274\) | − | 15.8937i | − | 0.960174i | ||||||
\(275\) | −3.34525 | − | 23.2742i | −0.201726 | − | 1.40349i | ||||
\(276\) | −0.568990 | − | 0.481743i | −0.0342492 | − | 0.0289975i | ||||
\(277\) | 9.05405 | − | 12.4618i | 0.544005 | − | 0.748759i | −0.445178 | − | 0.895442i | \(-0.646860\pi\) |
0.989184 | + | 0.146683i | \(0.0468597\pi\) | |||||||
\(278\) | −11.0082 | − | 3.57678i | −0.660227 | − | 0.214521i | ||||
\(279\) | 3.35151 | − | 1.74419i | 0.200650 | − | 0.104422i | ||||
\(280\) | 2.81296 | − | 2.04373i | 0.168106 | − | 0.122136i | ||||
\(281\) | −12.3306 | + | 8.95874i | −0.735585 | + | 0.534433i | −0.891325 | − | 0.453364i | \(-0.850224\pi\) |
0.155741 | + | 0.987798i | \(0.450224\pi\) | |||||||
\(282\) | −7.13613 | + | 17.4401i | −0.424950 | + | 1.03854i | ||||
\(283\) | 12.9352 | + | 4.20290i | 0.768918 | + | 0.249837i | 0.667102 | − | 0.744967i | \(-0.267535\pi\) |
0.101816 | + | 0.994803i | \(0.467535\pi\) | |||||||
\(284\) | 8.84298 | − | 12.1713i | 0.524735 | − | 0.722235i | ||||
\(285\) | −8.96534 | + | 10.5890i | −0.531061 | + | 0.627241i | ||||
\(286\) | −11.1925 | + | 10.8763i | −0.661827 | + | 0.643131i | ||||
\(287\) | − | 7.17549i | − | 0.423556i | ||||||
\(288\) | −1.33891 | + | 2.68465i | −0.0788958 | + | 0.158194i | ||||
\(289\) | 11.1699 | − | 34.3774i | 0.657053 | − | 2.02220i | ||||
\(290\) | −6.33366 | + | 2.05793i | −0.371925 | + | 0.120846i | ||||
\(291\) | 0.577543 | − | 7.76566i | 0.0338562 | − | 0.455231i | ||||
\(292\) | 0.147589 | + | 0.203138i | 0.00863697 | + | 0.0118878i | ||||
\(293\) | 5.12208 | + | 15.7642i | 0.299235 | + | 0.920952i | 0.981766 | + | 0.190094i | \(0.0608794\pi\) |
−0.682531 | + | 0.730857i | \(0.739121\pi\) | |||||||
\(294\) | 0.911344 | + | 1.47291i | 0.0531506 | + | 0.0859016i | ||||
\(295\) | 22.6135 | + | 16.4297i | 1.31661 | + | 0.956572i | ||||
\(296\) | 2.72126 | 0.158170 | ||||||||
\(297\) | −14.7068 | + | 8.98385i | −0.853376 | + | 0.521296i | ||||
\(298\) | −0.767741 | −0.0444741 | ||||||||
\(299\) | 1.63862 | + | 1.19053i | 0.0947640 | + | 0.0688501i | ||||
\(300\) | 6.46102 | + | 10.4423i | 0.373027 | + | 0.602884i | ||||
\(301\) | 3.50298 | + | 10.7811i | 0.201908 | + | 0.621409i | ||||
\(302\) | 4.29178 | + | 5.90713i | 0.246964 | + | 0.339917i | ||||
\(303\) | 0.487664 | − | 6.55715i | 0.0280156 | − | 0.376698i | ||||
\(304\) | 2.19110 | − | 0.711931i | 0.125668 | − | 0.0408320i | ||||
\(305\) | −9.56259 | + | 29.4306i | −0.547553 | + | 1.68519i | ||||
\(306\) | −9.76085 | + | 19.5715i | −0.557991 | + | 1.11883i | ||||
\(307\) | 25.1222i | 1.43380i | 0.697176 | + | 0.716900i | \(0.254440\pi\) | ||||
−0.697176 | + | 0.716900i | \(0.745560\pi\) | |||||||
\(308\) | −2.93326 | − | 1.54789i | −0.167138 | − | 0.0881994i | ||||
\(309\) | 6.19802 | − | 7.32054i | 0.352593 | − | 0.416451i | ||||
\(310\) | −2.57388 | + | 3.54264i | −0.146186 | + | 0.201208i | ||||
\(311\) | −5.25510 | − | 1.70749i | −0.297990 | − | 0.0968227i | 0.156207 | − | 0.987724i | \(-0.450073\pi\) |
−0.454196 | + | 0.890902i | \(0.650073\pi\) | |||||||
\(312\) | 3.08654 | − | 7.54325i | 0.174741 | − | 0.427052i | ||||
\(313\) | −25.6773 | + | 18.6557i | −1.45137 | + | 1.05448i | −0.465859 | + | 0.884859i | \(0.654254\pi\) |
−0.985509 | + | 0.169621i | \(0.945746\pi\) | |||||||
\(314\) | 8.42174 | − | 6.11875i | 0.475266 | − | 0.345301i | ||||
\(315\) | −9.25298 | + | 4.81543i | −0.521346 | + | 0.271319i | ||||
\(316\) | 7.09914 | + | 2.30665i | 0.399358 | + | 0.129759i | ||||
\(317\) | −3.60469 | + | 4.96143i | −0.202459 | + | 0.278662i | −0.898158 | − | 0.439672i | \(-0.855095\pi\) |
0.695699 | + | 0.718333i | \(0.255095\pi\) | |||||||
\(318\) | 9.99801 | + | 8.46494i | 0.560661 | + | 0.474690i | ||||
\(319\) | 4.42704 | + | 4.55573i | 0.247866 | + | 0.255072i | ||||
\(320\) | − | 3.47700i | − | 0.194370i | ||||||
\(321\) | −18.5721 | + | 4.54341i | −1.03659 | + | 0.253589i | ||||
\(322\) | −0.133012 | + | 0.409369i | −0.00741247 | + | 0.0228132i | ||||
\(323\) | 15.9735 | − | 5.19010i | 0.888788 | − | 0.288785i | ||||
\(324\) | 5.16390 | − | 7.37117i | 0.286884 | − | 0.409509i | ||||
\(325\) | −19.6088 | − | 26.9892i | −1.08770 | − | 1.49709i | ||||
\(326\) | −4.32321 | − | 13.3055i | −0.239441 | − | 0.736923i | ||||
\(327\) | −12.0228 | + | 7.43898i | −0.664863 | + | 0.411376i | ||||
\(328\) | −5.80509 | − | 4.21765i | −0.320533 | − | 0.232881i | ||||
\(329\) | 10.8794 | 0.599799 | ||||||||
\(330\) | 10.6064 | − | 16.9251i | 0.583865 | − | 0.931696i | ||||
\(331\) | −22.4313 | −1.23293 | −0.616467 | − | 0.787381i | \(-0.711437\pi\) | ||||
−0.616467 | + | 0.787381i | \(0.711437\pi\) | |||||||
\(332\) | −12.9687 | − | 9.42229i | −0.711748 | − | 0.517115i | ||||
\(333\) | −8.07395 | − | 1.20762i | −0.442450 | − | 0.0661772i | ||||
\(334\) | −2.95714 | − | 9.10113i | −0.161807 | − | 0.497992i | ||||
\(335\) | −7.75812 | − | 10.6781i | −0.423871 | − | 0.583409i | ||||
\(336\) | 1.72728 | + | 0.128460i | 0.0942309 | + | 0.00700808i | ||||
\(337\) | −4.91450 | + | 1.59682i | −0.267710 | + | 0.0869842i | −0.439796 | − | 0.898098i | \(-0.644949\pi\) |
0.172086 | + | 0.985082i | \(0.444949\pi\) | |||||||
\(338\) | −2.82517 | + | 8.69497i | −0.153669 | + | 0.472944i | ||||
\(339\) | −2.99608 | − | 12.2471i | −0.162725 | − | 0.665170i | ||||
\(340\) | − | 25.3480i | − | 1.37469i | ||||||
\(341\) | 4.11575 | + | 0.712451i | 0.222880 | + | 0.0385814i | ||||
\(342\) | −6.81691 | + | 1.13995i | −0.368617 | + | 0.0616412i | ||||
\(343\) | 0.587785 | − | 0.809017i | 0.0317374 | − | 0.0436828i | ||||
\(344\) | 10.7811 | + | 3.50298i | 0.581275 | + | 0.188868i | ||||
\(345\) | −2.39916 | − | 0.981686i | −0.129167 | − | 0.0528522i | ||||
\(346\) | 12.2486 | − | 8.89914i | 0.658490 | − | 0.478421i | ||||
\(347\) | 6.31587 | − | 4.58875i | 0.339054 | − | 0.246337i | −0.405209 | − | 0.914224i | \(-0.632801\pi\) |
0.744263 | + | 0.667887i | \(0.232801\pi\) | |||||||
\(348\) | −3.07036 | − | 1.25632i | −0.164588 | − | 0.0673461i | ||||
\(349\) | 27.4437 | + | 8.91700i | 1.46903 | + | 0.477316i | 0.930814 | − | 0.365493i | \(-0.119099\pi\) |
0.538213 | + | 0.842809i | \(0.319099\pi\) | |||||||
\(350\) | 4.16714 | − | 5.73557i | 0.222743 | − | 0.306579i | ||||
\(351\) | −12.5052 | + | 21.0111i | −0.667480 | + | 1.12149i | ||||
\(352\) | −2.97640 | + | 1.46323i | −0.158643 | + | 0.0779904i | ||||
\(353\) | − | 14.0181i | − | 0.746110i | −0.927809 | − | 0.373055i | \(-0.878310\pi\) | ||
0.927809 | − | 0.373055i | \(-0.121690\pi\) | |||||||
\(354\) | 3.30876 | + | 13.5252i | 0.175859 | + | 0.718857i | ||||
\(355\) | 16.1647 | − | 49.7498i | 0.857933 | − | 2.64045i | ||||
\(356\) | −13.3284 | + | 4.33065i | −0.706403 | + | 0.229524i | ||||
\(357\) | 12.5922 | + | 0.936496i | 0.666448 | + | 0.0495646i | ||||
\(358\) | −1.23030 | − | 1.69336i | −0.0650234 | − | 0.0894970i | ||||
\(359\) | 3.56032 | + | 10.9575i | 0.187906 | + | 0.578317i | 0.999986 | − | 0.00522975i | \(-0.00166469\pi\) |
−0.812080 | + | 0.583546i | \(0.801665\pi\) | |||||||
\(360\) | −1.54300 | + | 10.3163i | −0.0813233 | + | 0.543714i | ||||
\(361\) | −11.0773 | − | 8.04810i | −0.583014 | − | 0.423584i | ||||
\(362\) | 7.86060 | 0.413144 | ||||||||
\(363\) | −18.9518 | − | 1.95678i | −0.994712 | − | 0.102704i | ||||
\(364\) | −4.70557 | −0.246639 | ||||||||
\(365\) | 0.706313 | + | 0.513166i | 0.0369701 | + | 0.0268603i | ||||
\(366\) | −13.1088 | + | 8.11092i | −0.685208 | + | 0.423965i | ||||
\(367\) | −10.6782 | − | 32.8640i | −0.557396 | − | 1.71549i | −0.689532 | − | 0.724256i | \(-0.742184\pi\) |
0.132136 | − | 0.991232i | \(-0.457816\pi\) | |||||||
\(368\) | 0.253004 | + | 0.348230i | 0.0131887 | + | 0.0181528i | ||||
\(369\) | 15.3520 | + | 15.0899i | 0.799193 | + | 0.785548i | ||||
\(370\) | 8.99872 | − | 2.92386i | 0.467821 | − | 0.152004i | ||||
\(371\) | 2.33722 | − | 7.19323i | 0.121343 | − | 0.373454i | ||||
\(372\) | −2.11886 | + | 0.518352i | −0.109858 | + | 0.0268753i | ||||
\(373\) | − | 5.24728i | − | 0.271694i | −0.990730 | − | 0.135847i | \(-0.956624\pi\) | ||
0.990730 | − | 0.135847i | \(-0.0433755\pi\) | |||||||
\(374\) | −21.6985 | + | 10.6672i | −1.12200 | + | 0.551587i | ||||
\(375\) | 9.60407 | + | 8.13141i | 0.495952 | + | 0.419904i | ||||
\(376\) | 6.39473 | − | 8.80159i | 0.329783 | − | 0.453908i | ||||
\(377\) | 8.57161 | + | 2.78508i | 0.441460 | + | 0.143439i | ||||
\(378\) | −5.06783 | − | 1.14766i | −0.260661 | − | 0.0590294i | ||||
\(379\) | 2.57187 | − | 1.86857i | 0.132108 | − | 0.0959820i | −0.519769 | − | 0.854307i | \(-0.673982\pi\) |
0.651877 | + | 0.758325i | \(0.273982\pi\) | |||||||
\(380\) | 6.48065 | − | 4.70847i | 0.332450 | − | 0.241539i | ||||
\(381\) | −1.73625 | + | 4.24326i | −0.0889510 | + | 0.217389i | ||||
\(382\) | 14.2728 | + | 4.63750i | 0.730258 | + | 0.237275i | ||||
\(383\) | 15.9342 | − | 21.9316i | 0.814200 | − | 1.12065i | −0.176461 | − | 0.984308i | \(-0.556465\pi\) |
0.990662 | − | 0.136343i | \(-0.0435349\pi\) | |||||||
\(384\) | 1.11920 | − | 1.32189i | 0.0571138 | − | 0.0674575i | ||||
\(385\) | −11.3629 | − | 1.96696i | −0.579109 | − | 0.100246i | ||||
\(386\) | 23.2694i | 1.18438i | ||||||||
\(387\) | −30.4328 | − | 15.1777i | −1.54699 | − | 0.771524i | ||||
\(388\) | −1.38931 | + | 4.27585i | −0.0705314 | + | 0.217073i | ||||
\(389\) | 14.3831 | − | 4.67335i | 0.729252 | − | 0.236948i | 0.0792221 | − | 0.996857i | \(-0.474756\pi\) |
0.650030 | + | 0.759909i | \(0.274756\pi\) | |||||||
\(390\) | 2.10178 | − | 28.2606i | 0.106428 | − | 1.43103i | ||||
\(391\) | 1.84444 | + | 2.53866i | 0.0932775 | + | 0.128385i | ||||
\(392\) | −0.309017 | − | 0.951057i | −0.0156077 | − | 0.0480356i | ||||
\(393\) | −4.16721 | − | 6.73502i | −0.210208 | − | 0.339737i | ||||
\(394\) | 9.34233 | + | 6.78760i | 0.470660 | + | 0.341954i | ||||
\(395\) | 25.9540 | 1.30589 | ||||||||
\(396\) | 9.48031 | − | 3.02055i | 0.476404 | − | 0.151788i | ||||
\(397\) | −19.5845 | −0.982916 | −0.491458 | − | 0.870901i | \(-0.663536\pi\) | ||||
−0.491458 | + | 0.870901i | \(0.663536\pi\) | |||||||
\(398\) | −1.76255 | − | 1.28057i | −0.0883487 | − | 0.0641891i | ||||
\(399\) | 2.09961 | + | 3.39337i | 0.105112 | + | 0.169881i | ||||
\(400\) | −2.19079 | − | 6.74257i | −0.109540 | − | 0.337128i | ||||
\(401\) | 16.4177 | + | 22.5971i | 0.819863 | + | 1.12844i | 0.989726 | + | 0.142977i | \(0.0456675\pi\) |
−0.169863 | + | 0.985468i | \(0.554332\pi\) | |||||||
\(402\) | 0.487642 | − | 6.55685i | 0.0243214 | − | 0.327026i | ||||
\(403\) | 5.63615 | − | 1.83130i | 0.280757 | − | 0.0912234i | ||||
\(404\) | −1.17310 | + | 3.61043i | −0.0583639 | + | 0.179625i | ||||
\(405\) | 9.15616 | − | 29.9235i | 0.454973 | − | 1.48691i | ||||
\(406\) | 1.91533i | 0.0950562i | ||||||||
\(407\) | −6.28983 | − | 6.47267i | −0.311776 | − | 0.320839i | ||||
\(408\) | 8.15913 | − | 9.63682i | 0.403937 | − | 0.477094i | ||||
\(409\) | −7.60600 | + | 10.4688i | −0.376092 | + | 0.517647i | −0.954544 | − | 0.298070i | \(-0.903657\pi\) |
0.578452 | + | 0.815717i | \(0.303657\pi\) | |||||||
\(410\) | −23.7281 | − | 7.70973i | −1.17185 | − | 0.380756i | ||||
\(411\) | 10.4252 | − | 25.4783i | 0.514237 | − | 1.25675i | ||||
\(412\) | −4.48027 | + | 3.25511i | −0.220727 | + | 0.160368i | ||||
\(413\) | 6.50373 | − | 4.72524i | 0.320028 | − | 0.232514i | ||||
\(414\) | −0.596127 | − | 1.14547i | −0.0292980 | − | 0.0562970i | ||||
\(415\) | −53.0090 | − | 17.2237i | −2.60211 | − | 0.845476i | ||||
\(416\) | −2.76587 | + | 3.80689i | −0.135608 | + | 0.186648i | ||||
\(417\) | −15.3005 | − | 12.9544i | −0.749269 | − | 0.634378i | ||||
\(418\) | −6.75782 | − | 3.56613i | −0.330536 | − | 0.174425i | ||||
\(419\) | 18.9138i | 0.923999i | 0.886880 | + | 0.462000i | \(0.152868\pi\) | ||||
−0.886880 | + | 0.462000i | \(0.847132\pi\) | |||||||
\(420\) | 5.84984 | − | 1.43109i | 0.285443 | − | 0.0698299i | ||||
\(421\) | −2.88958 | + | 8.89320i | −0.140829 | + | 0.433428i | −0.996451 | − | 0.0841734i | \(-0.973175\pi\) |
0.855622 | + | 0.517602i | \(0.173175\pi\) | |||||||
\(422\) | 18.1514 | − | 5.89774i | 0.883595 | − | 0.287097i | ||||
\(423\) | −22.8791 | + | 23.2765i | −1.11242 | + | 1.13174i | ||||
\(424\) | −4.44566 | − | 6.11893i | −0.215900 | − | 0.297161i | ||||
\(425\) | −15.9713 | − | 49.1545i | −0.774720 | − | 2.38434i | ||||
\(426\) | 22.1593 | − | 13.7108i | 1.07362 | − | 0.664290i | ||||
\(427\) | 7.20022 | + | 5.23127i | 0.348443 | + | 0.253159i | ||||
\(428\) | 11.0388 | 0.533580 | ||||||||
\(429\) | −25.0762 | + | 10.0937i | −1.21069 | + | 0.487330i | ||||
\(430\) | 39.4149 | 1.90075 | ||||||||
\(431\) | 7.65444 | + | 5.56128i | 0.368702 | + | 0.267877i | 0.756672 | − | 0.653794i | \(-0.226824\pi\) |
−0.387971 | + | 0.921672i | \(0.626824\pi\) | |||||||
\(432\) | −3.90727 | + | 3.42538i | −0.187989 | + | 0.164804i | ||||
\(433\) | −0.201415 | − | 0.619892i | −0.00967940 | − | 0.0297901i | 0.946100 | − | 0.323874i | \(-0.104985\pi\) |
−0.955780 | + | 0.294084i | \(0.904985\pi\) | |||||||
\(434\) | 0.740257 | + | 1.01888i | 0.0355335 | + | 0.0489076i | ||||
\(435\) | −11.5030 | − | 0.855494i | −0.551527 | − | 0.0410178i | ||||
\(436\) | 7.76314 | − | 2.52240i | 0.371787 | − | 0.120801i | ||||
\(437\) | −0.306441 | + | 0.943128i | −0.0146591 | + | 0.0451159i | ||||
\(438\) | 0.103346 | + | 0.422448i | 0.00493808 | + | 0.0201853i | ||||
\(439\) | − | 20.9119i | − | 0.998072i | −0.866581 | − | 0.499036i | \(-0.833688\pi\) | ||
0.866581 | − | 0.499036i | \(-0.166312\pi\) | |||||||
\(440\) | −8.27027 | + | 8.03665i | −0.394270 | + | 0.383132i | ||||
\(441\) | 0.494799 | + | 2.95891i | 0.0235618 | + | 0.140901i | ||||
\(442\) | −20.1636 | + | 27.7529i | −0.959087 | + | 1.32007i | ||||
\(443\) | −33.3503 | − | 10.8362i | −1.58452 | − | 0.514842i | −0.621305 | − | 0.783569i | \(-0.713397\pi\) |
−0.963216 | + | 0.268727i | \(0.913397\pi\) | |||||||
\(444\) | 4.36229 | + | 1.78496i | 0.207025 | + | 0.0847104i | ||||
\(445\) | −39.4216 | + | 28.6414i | −1.86876 | + | 1.35773i | ||||
\(446\) | −4.45104 | + | 3.23387i | −0.210763 | + | 0.153128i | ||||
\(447\) | −1.23072 | − | 0.503586i | −0.0582112 | − | 0.0238188i | ||||
\(448\) | −0.951057 | − | 0.309017i | −0.0449332 | − | 0.0145997i | ||||
\(449\) | 3.44351 | − | 4.73959i | 0.162509 | − | 0.223675i | −0.719995 | − | 0.693979i | \(-0.755856\pi\) |
0.882504 | + | 0.470304i | \(0.155856\pi\) | |||||||
\(450\) | 3.50790 | + | 20.9774i | 0.165364 | + | 0.988884i | ||||
\(451\) | 3.38579 | + | 23.5563i | 0.159431 | + | 1.10922i | ||||
\(452\) | 7.27936i | 0.342392i | ||||||||
\(453\) | 3.00524 | + | 12.2845i | 0.141199 | + | 0.577177i | ||||
\(454\) | −5.15058 | + | 15.8519i | −0.241729 | + | 0.743965i | ||||
\(455\) | −15.5605 | + | 5.05592i | −0.729489 | + | 0.237025i | ||||
\(456\) | 3.97941 | + | 0.295954i | 0.186353 | + | 0.0138593i | ||||
\(457\) | 9.11211 | + | 12.5417i | 0.426247 | + | 0.586678i | 0.967087 | − | 0.254447i | \(-0.0818935\pi\) |
−0.540840 | + | 0.841126i | \(0.681894\pi\) | |||||||
\(458\) | −6.11846 | − | 18.8307i | −0.285897 | − | 0.879899i | ||||
\(459\) | −28.4847 | + | 24.9716i | −1.32955 | + | 1.16557i | ||||
\(460\) | 1.21080 | + | 0.879696i | 0.0564537 | + | 0.0410160i | ||||
\(461\) | 8.41171 | 0.391772 | 0.195886 | − | 0.980627i | \(-0.437242\pi\) | ||||
0.195886 | + | 0.980627i | \(0.437242\pi\) | |||||||
\(462\) | −3.68684 | − | 4.40536i | −0.171527 | − | 0.204956i | ||||
\(463\) | 17.1707 | 0.797991 | 0.398996 | − | 0.916953i | \(-0.369359\pi\) | ||||
0.398996 | + | 0.916953i | \(0.369359\pi\) | |||||||
\(464\) | 1.54953 | + | 1.12580i | 0.0719353 | + | 0.0522640i | ||||
\(465\) | −6.44977 | + | 3.99072i | −0.299101 | + | 0.185065i | ||||
\(466\) | 0.290324 | + | 0.893525i | 0.0134490 | + | 0.0413918i | ||||
\(467\) | 11.1110 | + | 15.2930i | 0.514158 | + | 0.707677i | 0.984613 | − | 0.174746i | \(-0.0559105\pi\) |
−0.470456 | + | 0.882424i | \(0.655911\pi\) | |||||||
\(468\) | 9.89571 | − | 10.0676i | 0.457430 | − | 0.465375i | ||||
\(469\) | −3.61026 | + | 1.17305i | −0.166706 | + | 0.0541662i | ||||
\(470\) | 11.6894 | − | 35.9762i | 0.539191 | − | 1.65946i | ||||
\(471\) | 17.5139 | − | 4.28455i | 0.806998 | − | 0.197421i | ||||
\(472\) | − | 8.03906i | − | 0.370028i | ||||||
\(473\) | −16.5870 | − | 33.7401i | −0.762670 | − | 1.55137i | ||||
\(474\) | 9.86723 | + | 8.35421i | 0.453217 | + | 0.383722i | ||||
\(475\) | 9.60049 | − | 13.2139i | 0.440501 | − | 0.606297i | ||||
\(476\) | −6.93336 | − | 2.25279i | −0.317790 | − | 0.103256i | ||||
\(477\) | 10.4748 | + | 20.1277i | 0.479610 | + | 0.921584i | ||||
\(478\) | −1.05553 | + | 0.766888i | −0.0482788 | + | 0.0350766i | ||||
\(479\) | 12.1583 | − | 8.83351i | 0.555526 | − | 0.403613i | −0.274293 | − | 0.961646i | \(-0.588444\pi\) |
0.829819 | + | 0.558033i | \(0.188444\pi\) | |||||||
\(480\) | 2.28068 | − | 5.57379i | 0.104098 | − | 0.254408i | ||||
\(481\) | −12.1783 | − | 3.95698i | −0.555285 | − | 0.180423i | ||||
\(482\) | −9.59276 | + | 13.2033i | −0.436938 | + | 0.601394i | ||||
\(483\) | −0.481743 | + | 0.568990i | −0.0219200 | + | 0.0258900i | ||||
\(484\) | 10.3600 | + | 3.69749i | 0.470907 | + | 0.168068i | ||||
\(485\) | 15.6322i | 0.709823i | ||||||||
\(486\) | 13.1130 | − | 8.42914i | 0.594816 | − | 0.382354i | ||||
\(487\) | −2.06526 | + | 6.35621i | −0.0935858 | + | 0.288028i | −0.986883 | − | 0.161440i | \(-0.948386\pi\) |
0.893297 | + | 0.449467i | \(0.148386\pi\) | |||||||
\(488\) | 8.46437 | − | 2.75024i | 0.383164 | − | 0.124497i | ||||
\(489\) | 1.79718 | − | 24.1650i | 0.0812715 | − | 1.09278i | ||||
\(490\) | −2.04373 | − | 2.81296i | −0.0923264 | − | 0.127076i | ||||
\(491\) | 6.11100 | + | 18.8077i | 0.275786 | + | 0.848781i | 0.989010 | + | 0.147846i | \(0.0472338\pi\) |
−0.713225 | + | 0.700935i | \(0.752766\pi\) | |||||||
\(492\) | −6.53933 | − | 10.5688i | −0.294816 | − | 0.476479i | ||||
\(493\) | 11.2964 | + | 8.20729i | 0.508763 | + | 0.369638i | ||||
\(494\) | −10.8410 | −0.487758 | ||||||||
\(495\) | 28.1043 | − | 20.1746i | 1.26319 | − | 0.906780i | ||||
\(496\) | 1.25940 | 0.0565488 | ||||||||
\(497\) | −12.1713 | − | 8.84298i | −0.545958 | − | 0.396662i | ||||
\(498\) | −14.6090 | − | 23.6109i | −0.654644 | − | 1.05803i | ||||
\(499\) | −5.31910 | − | 16.3705i | −0.238116 | − | 0.732845i | −0.996693 | − | 0.0812616i | \(-0.974105\pi\) |
0.758577 | − | 0.651583i | \(-0.225895\pi\) | |||||||
\(500\) | −4.27049 | − | 5.87783i | −0.190982 | − | 0.262865i | ||||
\(501\) | 1.22930 | − | 16.5292i | 0.0549210 | − | 0.738470i | ||||
\(502\) | −17.0096 | + | 5.52676i | −0.759176 | + | 0.246671i | ||||
\(503\) | 9.95220 | − | 30.6297i | 0.443747 | − | 1.36571i | −0.440106 | − | 0.897946i | \(-0.645059\pi\) |
0.883853 | − | 0.467766i | \(-0.154941\pi\) | |||||||
\(504\) | 2.68465 | + | 1.33891i | 0.119584 | + | 0.0596396i | ||||
\(505\) | 13.1995i | 0.587370i | ||||||||
\(506\) | 0.243501 | − | 1.40668i | 0.0108249 | − | 0.0625343i | ||||
\(507\) | −10.2322 | + | 12.0853i | −0.454427 | + | 0.536728i | ||||
\(508\) | 1.55587 | − | 2.14147i | 0.0690305 | − | 0.0950124i | ||||
\(509\) | 32.9150 | + | 10.6947i | 1.45893 | + | 0.474036i | 0.927744 | − | 0.373217i | \(-0.121745\pi\) |
0.531190 | + | 0.847253i | \(0.321745\pi\) | |||||||
\(510\) | 16.6265 | − | 40.6339i | 0.736235 | − | 1.79930i | ||||
\(511\) | 0.203138 | − | 0.147589i | 0.00898631 | − | 0.00652893i | ||||
\(512\) | −0.809017 | + | 0.587785i | −0.0357538 | + | 0.0259767i | ||||
\(513\) | −11.6755 | − | 2.64405i | −0.515488 | − | 0.116738i | ||||
\(514\) | 7.21157 | + | 2.34318i | 0.318089 | + | 0.103353i | ||||
\(515\) | −11.3180 | + | 15.5779i | −0.498732 | + | 0.686446i | ||||
\(516\) | 14.9848 | + | 12.6871i | 0.659669 | + | 0.558517i | ||||
\(517\) | −35.7157 | + | 5.13349i | −1.57078 | + | 0.225771i | ||||
\(518\) | − | 2.72126i | − | 0.119565i | ||||||
\(519\) | 25.4723 | − | 6.23146i | 1.11811 | − | 0.273531i | ||||
\(520\) | −5.05592 | + | 15.5605i | −0.221717 | + | 0.682374i | ||||
\(521\) | −37.0963 | + | 12.0533i | −1.62522 | + | 0.528066i | −0.973165 | − | 0.230107i | \(-0.926092\pi\) |
−0.652054 | + | 0.758172i | \(0.726092\pi\) | |||||||
\(522\) | −4.09786 | − | 4.02789i | −0.179358 | − | 0.176296i | ||||
\(523\) | 15.9371 | + | 21.9355i | 0.696881 | + | 0.959174i | 0.999981 | + | 0.00621559i | \(0.00197850\pi\) |
−0.303100 | + | 0.952959i | \(0.598022\pi\) | |||||||
\(524\) | 1.41301 | + | 4.34880i | 0.0617277 | + | 0.189978i | ||||
\(525\) | 10.4423 | − | 6.46102i | 0.455737 | − | 0.281982i | ||||
\(526\) | 1.46898 | + | 1.06727i | 0.0640504 | + | 0.0465353i | ||||
\(527\) | 9.18124 | 0.399941 | ||||||||
\(528\) | −5.73108 | + | 0.393307i | −0.249413 | + | 0.0171165i | ||||
\(529\) | 22.8147 | 0.991945 | ||||||||
\(530\) | −21.2755 | − | 15.4576i | −0.924150 | − | 0.671434i | ||||
\(531\) | −3.56752 | + | 23.8518i | −0.154817 | + | 1.03508i | ||||
\(532\) | −0.711931 | − | 2.19110i | −0.0308661 | − | 0.0949961i | ||||
\(533\) | 19.8464 | + | 27.3163i | 0.859645 | + | 1.18320i | ||||
\(534\) | −24.2066 | − | 1.80028i | −1.04752 | − | 0.0779056i | ||||
\(535\) | 36.5034 | − | 11.8607i | 1.57818 | − | 0.512781i | ||||
\(536\) | −1.17305 | + | 3.61026i | −0.0506679 | + | 0.155940i | ||||
\(537\) | −0.861496 | − | 3.52153i | −0.0371763 | − | 0.151965i | ||||
\(538\) | − | 22.3725i | − | 0.964546i | ||||||
\(539\) | −1.54789 | + | 2.93326i | −0.0666725 | + | 0.126345i | ||||
\(540\) | −9.24026 | + | 15.5253i | −0.397638 | + | 0.668103i | ||||
\(541\) | 1.91615 | − | 2.63736i | 0.0823819 | − | 0.113389i | −0.765837 | − | 0.643035i | \(-0.777675\pi\) |
0.848219 | + | 0.529646i | \(0.177675\pi\) | |||||||
\(542\) | 16.5899 | + | 5.39039i | 0.712598 | + | 0.231537i | ||||
\(543\) | 12.6009 | + | 5.15602i | 0.540756 | + | 0.221266i | ||||
\(544\) | −5.89787 | + | 4.28505i | −0.252869 | + | 0.183720i | ||||
\(545\) | 22.9612 | − | 16.6823i | 0.983548 | − | 0.714590i | ||||
\(546\) | −7.54325 | − | 3.08654i | −0.322821 | − | 0.132092i | ||||
\(547\) | 33.2442 | + | 10.8017i | 1.42142 | + | 0.461847i | 0.916053 | − | 0.401058i | \(-0.131357\pi\) |
0.505366 | + | 0.862905i | \(0.331357\pi\) | |||||||
\(548\) | −9.34209 | + | 12.8583i | −0.399074 | + | 0.549279i | ||||
\(549\) | −26.3342 | + | 4.40369i | −1.12392 | + | 0.187945i | ||||
\(550\) | −10.9739 | + | 20.7955i | −0.467928 | + | 0.886724i | ||||
\(551\) | 4.41264i | 0.187985i | ||||||||
\(552\) | 0.177162 | + | 0.724182i | 0.00754050 | + | 0.0308232i | ||||
\(553\) | 2.30665 | − | 7.09914i | 0.0980887 | − | 0.301886i | ||||
\(554\) | −14.6498 | + | 4.76000i | −0.622409 | + | 0.202233i | ||||
\(555\) | 16.3432 | + | 1.21547i | 0.693731 | + | 0.0515937i | ||||
\(556\) | 6.80343 | + | 9.36412i | 0.288530 | + | 0.397127i | ||||
\(557\) | 12.4590 | + | 38.3447i | 0.527903 | + | 1.62472i | 0.758503 | + | 0.651670i | \(0.225931\pi\) |
−0.230600 | + | 0.973049i | \(0.574069\pi\) | |||||||
\(558\) | −3.73664 | − | 0.558888i | −0.158184 | − | 0.0236596i | ||||
\(559\) | −43.1544 | − | 31.3535i | −1.82524 | − | 1.32611i | ||||
\(560\) | −3.47700 | −0.146930 | ||||||||
\(561\) | −41.7806 | + | 2.86727i | −1.76398 | + | 0.121056i | ||||
\(562\) | 15.2415 | 0.642925 | ||||||||
\(563\) | −2.35244 | − | 1.70915i | −0.0991437 | − | 0.0720321i | 0.537109 | − | 0.843513i | \(-0.319516\pi\) |
−0.636253 | + | 0.771481i | \(0.719516\pi\) | |||||||
\(564\) | 16.0243 | − | 9.91484i | 0.674744 | − | 0.417490i | ||||
\(565\) | 7.82133 | + | 24.0716i | 0.329046 | + | 1.01270i | ||||
\(566\) | −7.99439 | − | 11.0033i | −0.336029 | − | 0.462505i | ||||
\(567\) | −7.37117 | − | 5.16390i | −0.309560 | − | 0.216864i | ||||
\(568\) | −14.3082 | + | 4.64903i | −0.600361 | + | 0.195069i | ||||
\(569\) | 13.7244 | − | 42.2394i | 0.575357 | − | 1.77077i | −0.0596043 | − | 0.998222i | \(-0.518984\pi\) |
0.634961 | − | 0.772544i | \(-0.281016\pi\) | |||||||
\(570\) | 13.4772 | − | 3.29702i | 0.564498 | − | 0.138097i | ||||
\(571\) | − | 4.53675i | − | 0.189857i | −0.995484 | − | 0.0949285i | \(-0.969738\pi\) | ||
0.995484 | − | 0.0949285i | \(-0.0302622\pi\) | |||||||
\(572\) | 15.4479 | − | 2.22035i | 0.645908 | − | 0.0928376i | ||||
\(573\) | 19.8380 | + | 16.7961i | 0.828744 | + | 0.701666i | ||||
\(574\) | −4.21765 | + | 5.80509i | −0.176041 | + | 0.242300i | ||||
\(575\) | 2.90225 | + | 0.942997i | 0.121032 | + | 0.0393257i | ||||
\(576\) | 2.66119 | − | 1.38494i | 0.110883 | − | 0.0577057i | ||||
\(577\) | 16.9618 | − | 12.3235i | 0.706129 | − | 0.513033i | −0.175793 | − | 0.984427i | \(-0.556249\pi\) |
0.881923 | + | 0.471394i | \(0.156249\pi\) | |||||||
\(578\) | −29.2432 | + | 21.2464i | −1.21636 | + | 0.883735i | ||||
\(579\) | −15.2631 | + | 37.3019i | −0.634314 | + | 1.55021i | ||||
\(580\) | 6.33366 | + | 2.05793i | 0.262991 | + | 0.0854509i | ||||
\(581\) | −9.42229 | + | 12.9687i | −0.390903 | + | 0.538031i | ||||
\(582\) | −5.03178 | + | 5.94308i | −0.208574 | + | 0.246349i | ||||
\(583\) | −4.27867 | + | 24.7174i | −0.177204 | + | 1.02369i | ||||
\(584\) | − | 0.251093i | − | 0.0103903i | ||||||
\(585\) | 21.9062 | − | 43.9243i | 0.905712 | − | 1.81605i | ||||
\(586\) | 5.12208 | − | 15.7642i | 0.211591 | − | 0.651211i | ||||
\(587\) | 13.2337 | − | 4.29989i | 0.546213 | − | 0.177476i | −0.0228952 | − | 0.999738i | \(-0.507288\pi\) |
0.569109 | + | 0.822262i | \(0.307288\pi\) | |||||||
\(588\) | 0.128460 | − | 1.72728i | 0.00529761 | − | 0.0712318i | ||||
\(589\) | 1.70545 | + | 2.34735i | 0.0702717 | + | 0.0967207i | ||||
\(590\) | −8.63759 | − | 26.5838i | −0.355604 | − | 1.09444i | ||||
\(591\) | 10.5240 | + | 17.0088i | 0.432898 | + | 0.699647i | ||||
\(592\) | −2.20154 | − | 1.59951i | −0.0904828 | − | 0.0657396i | ||||
\(593\) | 10.0326 | 0.411990 | 0.205995 | − | 0.978553i | \(-0.433957\pi\) | ||||
0.205995 | + | 0.978553i | \(0.433957\pi\) | |||||||
\(594\) | 17.1786 | + | 1.37636i | 0.704848 | + | 0.0564728i | ||||
\(595\) | −25.3480 | −1.03916 | ||||||||
\(596\) | 0.621116 | + | 0.451267i | 0.0254419 | + | 0.0184846i | ||||
\(597\) | −1.98548 | − | 3.20892i | −0.0812604 | − | 0.131332i | ||||
\(598\) | −0.625898 | − | 1.92632i | −0.0255949 | − | 0.0787730i | ||||
\(599\) | 5.84937 | + | 8.05097i | 0.238999 | + | 0.328954i | 0.911621 | − | 0.411033i | \(-0.134832\pi\) |
−0.672622 | + | 0.739986i | \(0.734832\pi\) | |||||||
\(600\) | 0.910725 | − | 12.2457i | 0.0371802 | − | 0.499927i | ||||
\(601\) | 25.6939 | − | 8.34845i | 1.04808 | − | 0.340540i | 0.266163 | − | 0.963928i | \(-0.414244\pi\) |
0.781913 | + | 0.623388i | \(0.214244\pi\) | |||||||
\(602\) | 3.50298 | − | 10.7811i | 0.142771 | − | 0.439403i | ||||
\(603\) | 5.08256 | − | 10.1911i | 0.206978 | − | 0.415012i | ||||
\(604\) | − | 7.30161i | − | 0.297098i | ||||||
\(605\) | 38.2313 | + | 1.09566i | 1.55433 | + | 0.0445449i | ||||
\(606\) | −4.24872 | + | 5.01820i | −0.172593 | + | 0.203851i | ||||
\(607\) | −16.8040 | + | 23.1288i | −0.682055 | + | 0.938768i | −0.999956 | − | 0.00935560i | \(-0.997022\pi\) |
0.317901 | + | 0.948124i | \(0.397022\pi\) | |||||||
\(608\) | −2.19110 | − | 0.711931i | −0.0888608 | − | 0.0288726i | ||||
\(609\) | −1.25632 | + | 3.07036i | −0.0509089 | + | 0.124417i | ||||
\(610\) | 25.0352 | − | 18.1891i | 1.01365 | − | 0.736457i | ||||
\(611\) | −41.4166 | + | 30.0909i | −1.67553 | + | 1.21735i | ||||
\(612\) | 19.4006 | − | 10.0964i | 0.784221 | − | 0.408124i | ||||
\(613\) | −20.8547 | − | 6.77610i | −0.842313 | − | 0.273684i | −0.144090 | − | 0.989565i | \(-0.546026\pi\) |
−0.698223 | + | 0.715880i | \(0.746026\pi\) | |||||||
\(614\) | 14.7665 | − | 20.3243i | 0.595926 | − | 0.820221i | ||||
\(615\) | −32.9802 | − | 27.9231i | −1.32989 | − | 1.12597i | ||||
\(616\) | 1.46323 | + | 2.97640i | 0.0589552 | + | 0.119923i | ||||
\(617\) | 23.3682i | 0.940766i | 0.882462 | + | 0.470383i | \(0.155884\pi\) | ||||
−0.882462 | + | 0.470383i | \(0.844116\pi\) | |||||||
\(618\) | −9.31721 | + | 2.27933i | −0.374793 | + | 0.0916882i | ||||
\(619\) | 6.81490 | − | 20.9741i | 0.273914 | − | 0.843020i | −0.715591 | − | 0.698520i | \(-0.753842\pi\) |
0.989505 | − | 0.144500i | \(-0.0461575\pi\) | |||||||
\(620\) | 4.16462 | − | 1.35317i | 0.167255 | − | 0.0543445i | ||||
\(621\) | −0.204265 | − | 2.22726i | −0.00819687 | − | 0.0893771i | ||||
\(622\) | 3.24783 | + | 4.47026i | 0.130226 | + | 0.179241i | ||||
\(623\) | 4.33065 | + | 13.3284i | 0.173504 | + | 0.533990i | ||||
\(624\) | −6.93087 | + | 4.28840i | −0.277457 | + | 0.171673i | ||||
\(625\) | 8.24062 | + | 5.98716i | 0.329625 | + | 0.239486i | ||||
\(626\) | 31.7389 | 1.26854 | ||||||||
\(627\) | −8.49395 | − | 10.1493i | −0.339216 | − | 0.405325i | ||||
\(628\) | −10.4098 | −0.415398 | ||||||||
\(629\) | −16.0496 | − | 11.6607i | −0.639940 | − | 0.464944i | ||||
\(630\) | 10.3163 | + | 1.54300i | 0.411010 | + | 0.0614747i | ||||
\(631\) | −6.46229 | − | 19.8889i | −0.257260 | − | 0.791765i | −0.993376 | − | 0.114909i | \(-0.963342\pi\) |
0.736116 | − | 0.676855i | \(-0.236658\pi\) | |||||||
\(632\) | −4.38751 | − | 6.03889i | −0.174526 | − | 0.240214i | ||||
\(633\) | 32.9660 | + | 2.45172i | 1.31028 | + | 0.0974473i | ||||
\(634\) | 5.83251 | − | 1.89510i | 0.231639 | − | 0.0752639i | ||||
\(635\) | 2.84408 | − | 8.75318i | 0.112864 | − | 0.347359i | ||||
\(636\) | −3.11300 | − | 12.7250i | −0.123438 | − | 0.504578i | ||||
\(637\) | 4.70557i | 0.186442i | ||||||||
\(638\) | −0.903759 | − | 6.28781i | −0.0357801 | − | 0.248937i | ||||
\(639\) | 44.5156 | − | 7.44404i | 1.76101 | − | 0.294482i | ||||
\(640\) | −2.04373 | + | 2.81296i | −0.0807856 | + | 0.111192i | ||||
\(641\) | −18.5243 | − | 6.01892i | −0.731667 | − | 0.237733i | −0.0805929 | − | 0.996747i | \(-0.525681\pi\) |
−0.651074 | + | 0.759014i | \(0.725681\pi\) | |||||||
\(642\) | 17.6957 | + | 7.24069i | 0.698393 | + | 0.285767i | ||||
\(643\) | −36.1336 | + | 26.2526i | −1.42497 | + | 1.03530i | −0.434044 | + | 0.900891i | \(0.642914\pi\) |
−0.990926 | + | 0.134410i | \(0.957086\pi\) | |||||||
\(644\) | 0.348230 | − | 0.253004i | 0.0137222 | − | 0.00996975i | ||||
\(645\) | 63.1838 | + | 25.8535i | 2.48786 | + | 1.01798i | ||||
\(646\) | −15.9735 | − | 5.19010i | −0.628468 | − | 0.204202i | ||||
\(647\) | −7.14772 | + | 9.83799i | −0.281006 | + | 0.386771i | −0.926067 | − | 0.377360i | \(-0.876832\pi\) |
0.645061 | + | 0.764131i | \(0.276832\pi\) | |||||||
\(648\) | −8.51035 | + | 2.92813i | −0.334318 | + | 0.115028i | ||||
\(649\) | −19.1214 | + | 18.5812i | −0.750580 | + | 0.729378i | ||||
\(650\) | 33.3604i | 1.30850i | ||||||||
\(651\) | 0.518352 | + | 2.11886i | 0.0203158 | + | 0.0830448i | ||||
\(652\) | −4.32321 | + | 13.3055i | −0.169310 | + | 0.521083i | ||||
\(653\) | 18.1613 | − | 5.90096i | 0.710706 | − | 0.230922i | 0.0687169 | − | 0.997636i | \(-0.478109\pi\) |
0.641989 | + | 0.766714i | \(0.278109\pi\) | |||||||
\(654\) | 14.0992 | + | 1.04858i | 0.551322 | + | 0.0410025i | ||||
\(655\) | 9.34518 | + | 12.8625i | 0.365146 | + | 0.502581i | ||||
\(656\) | 2.21735 | + | 6.82429i | 0.0865729 | + | 0.266444i | ||||
\(657\) | −0.111428 | + | 0.744991i | −0.00434723 | + | 0.0290649i | ||||
\(658\) | −8.80159 | − | 6.39473i | −0.343122 | − | 0.249293i | ||||
\(659\) | 2.36741 | 0.0922211 | 0.0461106 | − | 0.998936i | \(-0.485317\pi\) | ||||
0.0461106 | + | 0.998936i | \(0.485317\pi\) | |||||||
\(660\) | −18.5291 | + | 7.45838i | −0.721245 | + | 0.290317i | ||||
\(661\) | −32.1595 | −1.25086 | −0.625430 | − | 0.780280i | \(-0.715076\pi\) | ||||
−0.625430 | + | 0.780280i | \(0.715076\pi\) | |||||||
\(662\) | 18.1473 | + | 13.1848i | 0.705314 | + | 0.512441i | ||||
\(663\) | −50.5272 | + | 31.2631i | −1.96231 | + | 1.21416i | ||||
\(664\) | 4.95359 | + | 15.2456i | 0.192237 | + | 0.591644i | ||||
\(665\) | −4.70847 | − | 6.48065i | −0.182586 | − | 0.251309i | ||||
\(666\) | 5.82214 | + | 5.72274i | 0.225603 | + | 0.221752i | ||||
\(667\) | −0.784076 | + | 0.254762i | −0.0303596 | + | 0.00986442i | ||||
\(668\) | −2.95714 | + | 9.10113i | −0.114415 | + | 0.352133i | ||||
\(669\) | −9.25643 | + | 2.26446i | −0.357874 | + | 0.0875492i | ||||
\(670\) | 13.1989i | 0.509918i | ||||||||
\(671\) | −26.1059 | − | 13.7762i | −1.00781 | − | 0.531824i | ||||
\(672\) | −1.32189 | − | 1.11920i | −0.0509931 | − | 0.0431739i | ||||
\(673\) | −9.80807 | + | 13.4997i | −0.378073 | + | 0.520373i | −0.955073 | − | 0.296371i | \(-0.904223\pi\) |
0.576999 | + | 0.816745i | \(0.304223\pi\) | |||||||
\(674\) | 4.91450 | + | 1.59682i | 0.189300 | + | 0.0615071i | ||||
\(675\) | −8.13641 | + | 35.9286i | −0.313171 | + | 1.38289i | ||||
\(676\) | 7.39639 | − | 5.37379i | 0.284476 | − | 0.206684i | ||||
\(677\) | 9.67974 | − | 7.03274i | 0.372023 | − | 0.270290i | −0.386026 | − | 0.922488i | \(-0.626153\pi\) |
0.758049 | + | 0.652197i | \(0.226153\pi\) | |||||||
\(678\) | −4.77476 | + | 11.6691i | −0.183374 | + | 0.448151i | ||||
\(679\) | 4.27585 | + | 1.38931i | 0.164092 | + | 0.0533167i | ||||
\(680\) | −14.8992 | + | 20.5069i | −0.571356 | + | 0.786405i | ||||
\(681\) | −18.6544 | + | 22.0328i | −0.714837 | + | 0.844300i | ||||
\(682\) | −2.91094 | − | 2.99556i | −0.111466 | − | 0.114706i | ||||
\(683\) | − | 34.6159i | − | 1.32454i | −0.749265 | − | 0.662271i | \(-0.769593\pi\) | ||
0.749265 | − | 0.662271i | \(-0.230407\pi\) | |||||||
\(684\) | 6.18504 | + | 3.08465i | 0.236491 | + | 0.117944i | ||||
\(685\) | −17.0771 | + | 52.5578i | −0.652481 | + | 2.00813i | ||||
\(686\) | −0.951057 | + | 0.309017i | −0.0363115 | + | 0.0117983i | ||||
\(687\) | 2.54348 | − | 34.1997i | 0.0970397 | − | 1.30480i | ||||
\(688\) | −6.66306 | − | 9.17091i | −0.254027 | − | 0.349638i | ||||
\(689\) | 10.9980 | + | 33.8483i | 0.418990 | + | 1.28952i | ||||
\(690\) | 1.36394 | + | 2.20439i | 0.0519244 | + | 0.0839198i | ||||
\(691\) | −19.2382 | − | 13.9773i | −0.731854 | − | 0.531723i | 0.158295 | − | 0.987392i | \(-0.449400\pi\) |
−0.890149 | + | 0.455669i | \(0.849400\pi\) | |||||||
\(692\) | −15.1401 | −0.575541 | ||||||||
\(693\) | −3.02055 | − | 9.48031i | −0.114741 | − | 0.360127i | ||||
\(694\) | −7.80685 | −0.296344 | ||||||||
\(695\) | 32.5591 | + | 23.6556i | 1.23504 | + | 0.897307i | ||||
\(696\) | 1.74552 | + | 2.82110i | 0.0661638 | + | 0.106933i | ||||
\(697\) | 16.1648 | + | 49.7503i | 0.612287 | + | 1.88443i | ||||
\(698\) | −16.9611 | − | 23.3450i | −0.641989 | − | 0.883621i | ||||
\(699\) | −0.120689 | + | 1.62279i | −0.00456489 | + | 0.0613797i | ||||
\(700\) | −6.74257 | + | 2.19079i | −0.254845 | + | 0.0828042i | ||||
\(701\) | −9.90694 | + | 30.4904i | −0.374180 | + | 1.15161i | 0.569851 | + | 0.821748i | \(0.307001\pi\) |
−0.944030 | + | 0.329859i | \(0.892999\pi\) | |||||||
\(702\) | 22.4669 | − | 9.64792i | 0.847960 | − | 0.364137i | ||||
\(703\) | − | 6.26938i | − | 0.236454i | ||||||
\(704\) | 3.26802 | + | 0.565707i | 0.123168 | + | 0.0213209i | ||||
\(705\) | 42.3365 | − | 50.0040i | 1.59449 | − | 1.88326i | ||||
\(706\) | −8.23965 | + | 11.3409i | −0.310103 | + | 0.426821i | ||||
\(707\) | 3.61043 | + | 1.17310i | 0.135784 | + | 0.0441189i | ||||
\(708\) | 5.27307 | − | 12.8870i | 0.198174 | − | 0.484322i | ||||
\(709\) | 27.7379 | − | 20.1528i | 1.04172 | − | 0.756853i | 0.0710988 | − | 0.997469i | \(-0.477349\pi\) |
0.970620 | + | 0.240616i | \(0.0773495\pi\) | |||||||
\(710\) | −42.3197 | + | 30.7471i | −1.58823 | + | 1.15392i | ||||
\(711\) | 10.3378 | + | 19.8644i | 0.387699 | + | 0.744974i | ||||
\(712\) | 13.3284 | + | 4.33065i | 0.499502 | + | 0.162298i | ||||
\(713\) | −0.318633 | + | 0.438561i | −0.0119329 | + | 0.0164242i | ||||
\(714\) | −9.63682 | − | 8.15913i | −0.360649 | − | 0.305348i | ||||
\(715\) | 48.6978 | − | 23.9403i | 1.82119 | − | 0.895318i | ||||
\(716\) | 2.09311i | 0.0782232i | ||||||||
\(717\) | −2.19509 | + | 0.537000i | −0.0819771 | + | 0.0200546i | ||||
\(718\) | 3.56032 | − | 10.9575i | 0.132870 | − | 0.408932i | ||||
\(719\) | −33.7565 | + | 10.9681i | −1.25890 | + | 0.409043i | −0.861104 | − | 0.508429i | \(-0.830226\pi\) |
−0.397800 | + | 0.917472i | \(0.630226\pi\) | |||||||
\(720\) | 7.31206 | − | 7.43907i | 0.272504 | − | 0.277238i | ||||
\(721\) | 3.25511 | + | 4.48027i | 0.121227 | + | 0.166854i | ||||
\(722\) | 4.23114 | + | 13.0221i | 0.157467 | + | 0.484632i | ||||
\(723\) | −24.0381 | + | 14.8733i | −0.893986 | + | 0.553144i | ||||
\(724\) | −6.35936 | − | 4.62035i | −0.236344 | − | 0.171714i | ||||
\(725\) | 13.5788 | 0.504305 | ||||||||
\(726\) | 14.1822 | + | 12.7227i | 0.526350 | + | 0.472182i | ||||
\(727\) | −4.37387 | −0.162218 | −0.0811089 | − | 0.996705i | \(-0.525846\pi\) | ||||
−0.0811089 | + | 0.996705i | \(0.525846\pi\) | |||||||
\(728\) | 3.80689 | + | 2.76587i | 0.141093 | + | 0.102510i | ||||
\(729\) | 26.5496 | − | 4.91109i | 0.983318 | − | 0.181892i | ||||
\(730\) | −0.269787 | − | 0.830320i | −0.00998528 | − | 0.0307315i | ||||
\(731\) | −48.5748 | − | 66.8575i | −1.79660 | − | 2.47281i | ||||
\(732\) | 15.3727 | + | 1.14329i | 0.568192 | + | 0.0422572i | ||||
\(733\) | 42.8328 | − | 13.9172i | 1.58207 | − | 0.514044i | 0.619477 | − | 0.785015i | \(-0.287345\pi\) |
0.962588 | + | 0.270970i | \(0.0873446\pi\) | |||||||
\(734\) | −10.6782 | + | 32.8640i | −0.394138 | + | 1.21303i | ||||
\(735\) | −1.43109 | − | 5.84984i | −0.0527864 | − | 0.215775i | ||||
\(736\) | − | 0.430436i | − | 0.0158661i | ||||||
\(737\) | 11.2986 | − | 5.55450i | 0.416189 | − | 0.204603i | ||||
\(738\) | −3.55042 | − | 21.2317i | −0.130693 | − | 0.781548i | ||||
\(739\) | 8.93407 | − | 12.2967i | 0.328645 | − | 0.452341i | −0.612437 | − | 0.790519i | \(-0.709811\pi\) |
0.941082 | + | 0.338178i | \(0.109811\pi\) | |||||||
\(740\) | −8.99872 | − | 2.92386i | −0.330800 | − | 0.107483i | ||||
\(741\) | −17.3786 | − | 7.11094i | −0.638418 | − | 0.261227i | ||||
\(742\) | −6.11893 | + | 4.44566i | −0.224633 | + | 0.163205i | ||||
\(743\) | −21.4316 | + | 15.5710i | −0.786249 | + | 0.571243i | −0.906848 | − | 0.421458i | \(-0.861519\pi\) |
0.120599 | + | 0.992701i | \(0.461519\pi\) | |||||||
\(744\) | 2.01888 | + | 0.826081i | 0.0740156 | + | 0.0302856i | ||||
\(745\) | 2.53879 | + | 0.824902i | 0.0930140 | + | 0.0302221i | ||||
\(746\) | −3.08427 | + | 4.24514i | −0.112923 | + | 0.155426i | ||||
\(747\) | −7.93170 | − | 47.4319i | −0.290206 | − | 1.73544i | ||||
\(748\) | 23.8244 | + | 4.12410i | 0.871108 | + | 0.150792i | ||||
\(749\) | − | 11.0388i | − | 0.403349i | ||||||
\(750\) | −2.99034 | − | 12.2236i | −0.109192 | − | 0.446342i | ||||
\(751\) | 9.56906 | − | 29.4505i | 0.349180 | − | 1.07467i | −0.610128 | − | 0.792303i | \(-0.708882\pi\) |
0.959308 | − | 0.282362i | \(-0.0911180\pi\) | |||||||
\(752\) | −10.3469 | + | 3.36191i | −0.377312 | + | 0.122596i | ||||
\(753\) | −30.8924 | − | 2.29751i | −1.12578 | − | 0.0837258i | ||||
\(754\) | −5.29754 | − | 7.29144i | −0.192925 | − | 0.265539i | ||||
\(755\) | −7.84524 | − | 24.1452i | −0.285518 | − | 0.878733i | ||||
\(756\) | 3.42538 | + | 3.90727i | 0.124580 | + | 0.142106i | ||||
\(757\) | 1.86077 | + | 1.35193i | 0.0676310 | + | 0.0491368i | 0.621087 | − | 0.783742i | \(-0.286691\pi\) |
−0.553456 | + | 0.832878i | \(0.686691\pi\) | |||||||
\(758\) | −3.17900 | −0.115467 | ||||||||
\(759\) | 1.31303 | − | 2.09524i | 0.0476598 | − | 0.0760525i | ||||
\(760\) | −8.01052 | −0.290572 | ||||||||
\(761\) | −14.2045 | − | 10.3202i | −0.514914 | − | 0.374107i | 0.299770 | − | 0.954011i | \(-0.403090\pi\) |
−0.814685 | + | 0.579904i | \(0.803090\pi\) | |||||||
\(762\) | 3.89879 | − | 2.41233i | 0.141238 | − | 0.0873894i | ||||
\(763\) | −2.52240 | − | 7.76314i | −0.0913169 | − | 0.281045i | ||||
\(764\) | −8.82105 | − | 12.1411i | −0.319134 | − | 0.439251i | ||||
\(765\) | 53.3062 | − | 54.2321i | 1.92729 | − | 1.96077i | ||||
\(766\) | −25.7821 | + | 8.37711i | −0.931545 | + | 0.302677i | ||||
\(767\) | −11.6896 | + | 35.9769i | −0.422087 | + | 1.29905i | ||||
\(768\) | −1.68244 | + | 0.411586i | −0.0607097 | + | 0.0148518i | ||||
\(769\) | − | 27.2055i | − | 0.981057i | −0.871425 | − | 0.490528i | \(-0.836804\pi\) | ||
0.871425 | − | 0.490528i | \(-0.163196\pi\) | |||||||
\(770\) | 8.03665 | + | 8.27027i | 0.289621 | + | 0.298040i | ||||
\(771\) | 10.0235 | + | 8.48653i | 0.360988 | + | 0.305635i | ||||
\(772\) | 13.6774 | − | 18.8253i | 0.492261 | − | 0.677539i | ||||
\(773\) | 31.0664 | + | 10.0941i | 1.11738 | + | 0.363060i | 0.808768 | − | 0.588128i | \(-0.200135\pi\) |
0.308614 | + | 0.951187i | \(0.400135\pi\) | |||||||
\(774\) | 15.6995 | + | 30.1669i | 0.564305 | + | 1.08433i | ||||
\(775\) | 7.22338 | − | 5.24809i | 0.259472 | − | 0.188517i | ||||
\(776\) | 3.63725 | − | 2.64262i | 0.130570 | − | 0.0948645i | ||||
\(777\) | 1.78496 | − | 4.36229i | 0.0640350 | − | 0.156496i | ||||
\(778\) | −14.3831 | − | 4.67335i | −0.515659 | − | 0.167548i | ||||
\(779\) | −9.71685 | + | 13.3741i | −0.348142 | + | 0.479177i | ||||
\(780\) | −18.3115 | + | 21.6279i | −0.655657 | + | 0.774402i | ||||
\(781\) | 44.1297 | + | 23.2874i | 1.57908 | + | 0.833289i | ||||
\(782\) | − | 3.13795i | − | 0.112213i | ||||||
\(783\) | −3.92703 | − | 9.14481i | −0.140341 | − | 0.326809i | ||||
\(784\) | −0.309017 | + | 0.951057i | −0.0110363 | + | 0.0339663i | ||||
\(785\) | −34.4235 | + | 11.1849i | −1.22863 | + | 0.399206i | ||||
\(786\) | −0.587397 | + | 7.89817i | −0.0209518 | + | 0.281718i | ||||
\(787\) | 22.9363 | + | 31.5691i | 0.817591 | + | 1.12532i | 0.990107 | + | 0.140311i | \(0.0448104\pi\) |
−0.172516 | + | 0.985007i | \(0.555190\pi\) | |||||||
\(788\) | −3.56845 | − | 10.9826i | −0.127121 | − | 0.391238i | ||||
\(789\) | 1.65478 | + | 2.67444i | 0.0589116 | + | 0.0952124i | ||||
\(790\) | −20.9972 | − | 15.2554i | −0.747048 | − | 0.542762i | ||||
\(791\) | 7.27936 | 0.258824 | ||||||||
\(792\) | −9.44517 | − | 3.12871i | −0.335619 | − | 0.111174i | ||||
\(793\) | −41.8794 | −1.48718 | ||||||||
\(794\) | 15.8442 | + | 11.5115i | 0.562288 | + | 0.408526i | ||||
\(795\) | −23.9665 | − | 38.7345i | −0.850005 | − | 1.37377i | ||||
\(796\) | 0.673235 | + | 2.07200i | 0.0238622 | + | 0.0734402i | ||||
\(797\) | 17.0819 | + | 23.5113i | 0.605074 | + | 0.832812i | 0.996161 | − | 0.0875413i | \(-0.0279010\pi\) |
−0.391087 | + | 0.920354i | \(0.627901\pi\) | |||||||
\(798\) | 0.295954 | − | 3.97941i | 0.0104766 | − | 0.140869i | ||||
\(799\) | −75.4306 | + | 24.5089i | −2.66854 | + | 0.867062i | ||||
\(800\) | −2.19079 | + | 6.74257i | −0.0774562 | + | 0.238386i | ||||
\(801\) | −37.6234 | − | 18.7638i | −1.32936 | − | 0.662987i | ||||
\(802\) | − | 27.9315i | − | 0.986297i | ||||||
\(803\) | −0.597240 | + | 0.580369i | −0.0210761 | + | 0.0204808i | ||||
\(804\) | −4.24853 | + | 5.01798i | −0.149834 | + | 0.176970i | ||||
\(805\) | 0.879696 | − | 1.21080i | 0.0310052 | − | 0.0426750i | ||||
\(806\) | −5.63615 | − | 1.83130i | −0.198525 | − | 0.0645047i | ||||
\(807\) | 14.6748 | − | 35.8641i | 0.516578 | − | 1.26248i | ||||
\(808\) | 3.07121 | − | 2.23137i | 0.108045 | − | 0.0784992i | ||||
\(809\) | 8.75423 | − | 6.36032i | 0.307782 | − | 0.223617i | −0.423162 | − | 0.906054i | \(-0.639080\pi\) |
0.730944 | + | 0.682437i | \(0.239080\pi\) | |||||||
\(810\) | −24.9961 | + | 18.8268i | −0.878274 | + | 0.661506i | ||||
\(811\) | −24.7704 | − | 8.04840i | −0.869807 | − | 0.282618i | −0.160089 | − | 0.987103i | \(-0.551178\pi\) |
−0.709719 | + | 0.704485i | \(0.751178\pi\) | |||||||
\(812\) | 1.12580 | − | 1.54953i | 0.0395079 | − | 0.0543780i | ||||
\(813\) | 23.0587 | + | 19.5229i | 0.808703 | + | 0.684698i | ||||
\(814\) | 1.28404 | + | 8.93358i | 0.0450056 | + | 0.313122i | ||||
\(815\) | 48.6440i | 1.70393i | ||||||||
\(816\) | −12.2653 | + | 3.00053i | −0.429370 | + | 0.105040i | ||||
\(817\) | 8.07035 | − | 24.8380i | 0.282346 | − | 0.868972i | ||||
\(818\) | 12.3068 | − | 3.99871i | 0.430296 | − | 0.139812i | ||||
\(819\) | −10.0676 | − | 9.89571i | −0.351791 | − | 0.345784i | ||||
\(820\) | 14.6648 | + | 20.1843i | 0.512116 | + | 0.704867i | ||||
\(821\) | 1.92295 | + | 5.91824i | 0.0671115 | + | 0.206548i | 0.978988 | − | 0.203916i | \(-0.0653668\pi\) |
−0.911877 | + | 0.410464i | \(0.865367\pi\) | |||||||
\(822\) | −23.4099 | + | 14.4846i | −0.816516 | + | 0.505210i | ||||
\(823\) | 36.3950 | + | 26.4425i | 1.26865 | + | 0.921727i | 0.999148 | − | 0.0412731i | \(-0.0131414\pi\) |
0.269501 | + | 0.963000i | \(0.413141\pi\) | |||||||
\(824\) | 5.53792 | 0.192923 | ||||||||
\(825\) | −31.2321 | + | 26.1380i | −1.08736 | + | 0.910010i | ||||
\(826\) | −8.03906 | −0.279715 | ||||||||
\(827\) | −6.30883 | − | 4.58363i | −0.219379 | − | 0.159388i | 0.472668 | − | 0.881241i | \(-0.343291\pi\) |
−0.692047 | + | 0.721852i | \(0.743291\pi\) | |||||||
\(828\) | −0.191016 | + | 1.27710i | −0.00663827 | + | 0.0443824i | ||||
\(829\) | −3.68637 | − | 11.3455i | −0.128033 | − | 0.394045i | 0.866408 | − | 0.499336i | \(-0.166423\pi\) |
−0.994441 | + | 0.105291i | \(0.966423\pi\) | |||||||
\(830\) | 32.7613 | + | 45.0921i | 1.13716 | + | 1.56517i | ||||
\(831\) | −26.6065 | − | 1.97876i | −0.922968 | − | 0.0686424i | ||||
\(832\) | 4.47527 | − | 1.45410i | 0.155152 | − | 0.0504119i | ||||
\(833\) | −2.25279 | + | 6.93336i | −0.0780544 | + | 0.240227i | ||||
\(834\) | 4.76398 | + | 19.4737i | 0.164963 | + | 0.674319i | ||||
\(835\) | 33.2732i | 1.15147i | ||||||||
\(836\) | 3.37107 | + | 6.85720i | 0.116591 | + | 0.237161i | ||||
\(837\) | −5.62340 | − | 3.34690i | −0.194373 | − | 0.115686i | ||||
\(838\) | 11.1172 | − | 15.3016i | 0.384039 | − | 0.528584i | ||||
\(839\) | 25.7870 | + | 8.37869i | 0.890265 | + | 0.289265i | 0.718213 | − | 0.695823i | \(-0.244960\pi\) |
0.172052 | + | 0.985088i | \(0.444960\pi\) | |||||||
\(840\) | −5.57379 | − | 2.28068i | −0.192314 | − | 0.0786909i | ||||
\(841\) | 20.4936 | − | 14.8895i | 0.706677 | − | 0.513431i | ||||
\(842\) | 7.56501 | − | 5.49630i | 0.260707 | − | 0.189415i | ||||
\(843\) | 24.4328 | + | 9.99740i | 0.841512 | + | 0.344329i | ||||
\(844\) | −18.1514 | − | 5.89774i | −0.624796 | − | 0.203009i | ||||
\(845\) | 18.6847 | − | 25.7173i | 0.642773 | − | 0.884701i | ||||
\(846\) | 32.1911 | − | 5.38310i | 1.10675 | − | 0.185075i | ||||
\(847\) | 3.69749 | − | 10.3600i | 0.127047 | − | 0.355972i | ||||
\(848\) | 7.56341i | 0.259729i | ||||||||
\(849\) | −5.59793 | − | 22.8826i | −0.192121 | − | 0.785330i | ||||
\(850\) | −15.9713 | + | 49.1545i | −0.547810 | + | 1.68598i | ||||
\(851\) | 1.11400 | − | 0.361960i | 0.0381874 | − | 0.0124078i | ||||
\(852\) | −25.9862 | − | 1.93263i | −0.890273 | − | 0.0662108i | ||||
\(853\) | 10.2822 | + | 14.1522i | 0.352055 | + | 0.484562i | 0.947914 | − | 0.318527i | \(-0.103188\pi\) |
−0.595859 | + | 0.803089i | \(0.703188\pi\) | |||||||
\(854\) | −2.75024 | − | 8.46437i | −0.0941113 | − | 0.289645i | ||||
\(855\) | 23.7672 | + | 3.55486i | 0.812820 | + | 0.121573i | ||||
\(856\) | −8.93057 | − | 6.48844i | −0.305241 | − | 0.221770i | ||||
\(857\) | 6.27737 | 0.214431 | 0.107215 | − | 0.994236i | \(-0.465807\pi\) | ||||
0.107215 | + | 0.994236i | \(0.465807\pi\) | |||||||
\(858\) | 26.2200 | + | 6.57343i | 0.895137 | + | 0.224413i | ||||
\(859\) | −39.2930 | −1.34066 | −0.670329 | − | 0.742064i | \(-0.733847\pi\) | ||||
−0.670329 | + | 0.742064i | \(0.733847\pi\) | |||||||
\(860\) | −31.8873 | − | 23.1675i | −1.08735 | − | 0.790004i | ||||
\(861\) | −10.5688 | + | 6.53933i | −0.360184 | + | 0.222860i | ||||
\(862\) | −2.92374 | − | 8.99834i | −0.0995829 | − | 0.306485i | ||||
\(863\) | −18.0328 | − | 24.8200i | −0.613842 | − | 0.844881i | 0.383045 | − | 0.923730i | \(-0.374876\pi\) |
−0.996887 | + | 0.0788488i | \(0.974876\pi\) | |||||||
\(864\) | 5.17444 | − | 0.474553i | 0.176038 | − | 0.0161446i | ||||
\(865\) | −50.0658 | + | 16.2674i | −1.70229 | + | 0.553107i | ||||
\(866\) | −0.201415 | + | 0.619892i | −0.00684437 | + | 0.0210648i | ||||
\(867\) | −60.8144 | + | 14.8774i | −2.06536 | + | 0.505264i | ||||
\(868\) | − | 1.25940i | − | 0.0427468i | ||||||
\(869\) | −4.22270 | + | 24.3941i | −0.143245 | + | 0.827512i | ||||
\(870\) | 8.80328 | + | 7.45341i | 0.298459 | + | 0.252694i | ||||
\(871\) | 10.4994 | − | 14.4512i | 0.355758 | − | 0.489659i | ||||
\(872\) | −7.76314 | − | 2.52240i | −0.262893 | − | 0.0854192i | ||||
\(873\) | −11.9644 | + | 6.22652i | −0.404935 | + | 0.210736i | ||||
\(874\) | 0.802272 | − | 0.582885i | 0.0271373 | − | 0.0197164i | ||||
\(875\) | −5.87783 | + | 4.27049i | −0.198707 | + | 0.144369i | ||||
\(876\) | 0.164700 | − | 0.402513i | 0.00556469 | − | 0.0135997i | ||||
\(877\) | 29.6401 | + | 9.63064i | 1.00087 | + | 0.325204i | 0.763215 | − | 0.646145i | \(-0.223620\pi\) |
0.237659 | + | 0.971349i | \(0.423620\pi\) | |||||||
\(878\) | −12.2917 | + | 16.9181i | −0.414826 | + | 0.570959i | ||||
\(879\) | 18.5511 | − | 21.9109i | 0.625714 | − | 0.739037i | ||||
\(880\) | 11.4146 | − | 1.64064i | 0.384787 | − | 0.0553061i | ||||
\(881\) | − | 52.8843i | − | 1.78172i | −0.454282 | − | 0.890858i | \(-0.650104\pi\) | ||
0.454282 | − | 0.890858i | \(-0.349896\pi\) | |||||||
\(882\) | 1.33891 | − | 2.68465i | 0.0450833 | − | 0.0903968i | ||||
\(883\) | −1.18335 | + | 3.64198i | −0.0398229 | + | 0.122562i | −0.968992 | − | 0.247094i | \(-0.920524\pi\) |
0.929169 | + | 0.369656i | \(0.120524\pi\) | |||||||
\(884\) | 32.6255 | − | 10.6007i | 1.09731 | − | 0.356539i | ||||
\(885\) | 3.59070 | − | 48.2806i | 0.120700 | − | 1.62294i | ||||
\(886\) | 20.6116 | + | 28.3695i | 0.692461 | + | 0.953091i | ||||
\(887\) | −7.43685 | − | 22.8883i | −0.249705 | − | 0.768513i | −0.994827 | − | 0.101585i | \(-0.967609\pi\) |
0.745122 | − | 0.666928i | \(-0.232391\pi\) | |||||||
\(888\) | −2.48000 | − | 4.00815i | −0.0832233 | − | 0.134505i | ||||
\(889\) | −2.14147 | − | 1.55587i | −0.0718226 | − | 0.0521822i | ||||
\(890\) | 48.7277 | 1.63336 | ||||||||
\(891\) | 26.6353 | + | 13.4744i | 0.892317 | + | 0.451409i | ||||
\(892\) | 5.50179 | 0.184214 | ||||||||
\(893\) | −20.2776 | − | 14.7325i | −0.678564 | − | 0.493006i | ||||
\(894\) | 0.699676 | + | 1.13081i | 0.0234007 | + | 0.0378200i | ||||
\(895\) | 2.24895 | + | 6.92156i | 0.0751741 | + | 0.231362i | ||||
\(896\) | 0.587785 | + | 0.809017i | 0.0196365 | + | 0.0270274i | ||||
\(897\) | 0.260190 | − | 3.49852i | 0.00868748 | − | 0.116812i | ||||
\(898\) | −5.57172 | + | 1.81036i | −0.185931 | + | 0.0604125i | ||||
\(899\) | −0.745400 | + | 2.29411i | −0.0248605 | + | 0.0765127i | ||||
\(900\) | 9.49225 | − | 19.0330i | 0.316408 | − | 0.634432i | ||||
\(901\) | 55.1386i | 1.83693i | ||||||||
\(902\) | 11.1069 | − | 21.0476i | 0.369819 | − | 0.700808i | ||||
\(903\) | 12.6871 | − | 14.9848i | 0.422199 | − | 0.498663i | ||||
\(904\) | 4.27870 | − | 5.88913i | 0.142307 | − | 0.195869i | ||||
\(905\) | −25.9936 | − | 8.44585i | −0.864058 | − | 0.280750i | ||||
\(906\) | 4.78936 | − | 11.7048i | 0.159116 | − | 0.388866i | ||||
\(907\) | −0.409271 | + | 0.297353i | −0.0135896 | + | 0.00987344i | −0.594559 | − | 0.804052i | \(-0.702673\pi\) |
0.580970 | + | 0.813925i | \(0.302673\pi\) | |||||||
\(908\) | 13.4844 | − | 9.79699i | 0.447496 | − | 0.325125i | ||||
\(909\) | −10.1025 | + | 5.25753i | −0.335079 | + | 0.174381i | ||||
\(910\) | 15.5605 | + | 5.05592i | 0.515826 | + | 0.167602i | ||||
\(911\) | −2.07918 | + | 2.86174i | −0.0688862 | + | 0.0948137i | −0.842070 | − | 0.539368i | \(-0.818663\pi\) |
0.773184 | + | 0.634182i | \(0.218663\pi\) | |||||||
\(912\) | −3.04545 | − | 2.57847i | −0.100845 | − | 0.0853816i | ||||
\(913\) | 24.8130 | − | 47.0207i | 0.821190 | − | 1.55616i | ||||
\(914\) | − | 15.5025i | − | 0.512776i | ||||||
\(915\) | 52.0634 | − | 12.7366i | 1.72116 | − | 0.421060i | ||||
\(916\) | −6.11846 | + | 18.8307i | −0.202159 | + | 0.622183i | ||||
\(917\) | 4.34880 | − | 1.41301i | 0.143610 | − | 0.0466618i | ||||
\(918\) | 37.7225 | − | 3.45958i | 1.24503 | − | 0.114183i | ||||
\(919\) | 21.1774 | + | 29.1482i | 0.698578 | + | 0.961510i | 0.999968 | + | 0.00800903i | \(0.00254938\pi\) |
−0.301390 | + | 0.953501i | \(0.597451\pi\) | |||||||
\(920\) | −0.462484 | − | 1.42338i | −0.0152476 | − | 0.0469274i | ||||
\(921\) | 37.0026 | − | 22.8950i | 1.21928 | − | 0.754414i | ||||
\(922\) | −6.80522 | − | 4.94428i | −0.224118 | − | 0.162831i | ||||
\(923\) | 70.7934 | 2.33019 | ||||||||
\(924\) | 0.393307 | + | 5.73108i | 0.0129388 | + | 0.188539i | ||||
\(925\) | −19.2925 | −0.634333 | ||||||||
\(926\) | −13.8914 | − | 10.0927i | −0.456500 | − | 0.331667i | ||||
\(927\) | −16.4310 | − | 2.45758i | −0.539665 | − | 0.0807176i | ||||
\(928\) | −0.591869 | − | 1.82159i | −0.0194291 | − | 0.0597965i | ||||
\(929\) | 20.6806 | + | 28.4644i | 0.678509 | + | 0.933888i | 0.999915 | − | 0.0130538i | \(-0.00415526\pi\) |
−0.321406 | + | 0.946942i | \(0.604155\pi\) | |||||||
\(930\) | 7.56366 | + | 0.562519i | 0.248022 | + | 0.0184457i | ||||
\(931\) | −2.19110 | + | 0.711931i | −0.0718103 | + | 0.0233326i | ||||
\(932\) | 0.290324 | − | 0.893525i | 0.00950988 | − | 0.0292684i | ||||
\(933\) | 2.27424 | + | 9.29638i | 0.0744552 | + | 0.304350i | ||||
\(934\) | − | 18.9032i | − | 0.618533i | ||||||
\(935\) | 83.2145 | − | 11.9606i | 2.72140 | − | 0.391153i | ||||
\(936\) | −13.9234 | + | 2.32831i | −0.455100 | + | 0.0761033i | ||||
\(937\) | 2.98860 | − | 4.11345i | 0.0976332 | − | 0.134381i | −0.757405 | − | 0.652945i | \(-0.773533\pi\) |
0.855039 | + | 0.518564i | \(0.173533\pi\) | |||||||
\(938\) | 3.61026 | + | 1.17305i | 0.117879 | + | 0.0383013i | ||||
\(939\) | 50.8789 | + | 20.8186i | 1.66037 | + | 0.679388i | ||||
\(940\) | −30.6032 | + | 22.2345i | −0.998166 | + | 0.725210i | ||||
\(941\) | 10.4150 | − | 7.56693i | 0.339519 | − | 0.246675i | −0.404940 | − | 0.914343i | \(-0.632708\pi\) |
0.744459 | + | 0.667668i | \(0.232708\pi\) | |||||||
\(942\) | −16.6874 | − | 6.82815i | −0.543706 | − | 0.222473i | ||||
\(943\) | −2.93742 | − | 0.954426i | −0.0956556 | − | 0.0310804i | ||||
\(944\) | −4.72524 | + | 6.50373i | −0.153793 | + | 0.211678i | ||||
\(945\) | 15.5253 | + | 9.24026i | 0.505039 | + | 0.300586i | ||||
\(946\) | −6.41278 | + | 37.0459i | −0.208497 | + | 1.20447i | ||||
\(947\) | − | 0.702703i | − | 0.0228348i | −0.999935 | − | 0.0114174i | \(-0.996366\pi\) | ||
0.999935 | − | 0.0114174i | \(-0.00363435\pi\) | |||||||
\(948\) | −3.07227 | − | 12.5585i | −0.0997829 | − | 0.407882i | ||||
\(949\) | −0.365115 | + | 1.12371i | −0.0118521 | + | 0.0364771i | ||||
\(950\) | −15.5339 | + | 5.04727i | −0.503987 | + | 0.163755i | ||||
\(951\) | 10.5928 | + | 0.787803i | 0.343496 | + | 0.0255463i | ||||
\(952\) | 4.28505 | + | 5.89787i | 0.138879 | + | 0.191151i | ||||
\(953\) | −2.98770 | − | 9.19520i | −0.0967811 | − | 0.297862i | 0.890933 | − | 0.454135i | \(-0.150052\pi\) |
−0.987714 | + | 0.156274i | \(0.950052\pi\) | |||||||
\(954\) | 3.35644 | − | 22.4406i | 0.108669 | − | 0.726542i | ||||
\(955\) | −42.2148 | − | 30.6708i | −1.36604 | − | 0.992484i | ||||
\(956\) | 1.30471 | 0.0421973 | ||||||||
\(957\) | 2.67561 | − | 10.6724i | 0.0864901 | − | 0.344991i | ||||
\(958\) | −15.0285 | −0.485548 | ||||||||
\(959\) | 12.8583 | + | 9.34209i | 0.415216 | + | 0.301672i | ||||
\(960\) | −5.12130 | + | 3.16875i | −0.165289 | + | 0.102271i | ||||
\(961\) | −9.08940 | − | 27.9743i | −0.293206 | − | 0.902396i | ||||
\(962\) | 7.52663 | + | 10.3595i | 0.242668 | + | 0.334004i | ||||
\(963\) | 23.6176 | + | 23.2143i | 0.761065 | + | 0.748071i | ||||
\(964\) | 15.5214 | − | 5.04321i | 0.499911 | − | 0.162431i | ||||
\(965\) | 25.0019 | − | 76.9479i | 0.804839 | − | 2.47704i | ||||
\(966\) | 0.724182 | − | 0.177162i | 0.0233002 | − | 0.00570008i | ||||
\(967\) | 7.58960i | 0.244065i | 0.992526 | + | 0.122033i | \(0.0389412\pi\) | ||||
−0.992526 | + | 0.122033i | \(0.961059\pi\) | |||||||
\(968\) | −6.20805 | − | 9.08076i | −0.199534 | − | 0.291867i | ||||
\(969\) | −22.2019 | − | 18.7975i | −0.713226 | − | 0.603862i | ||||
\(970\) | 9.18839 | − | 12.6467i | 0.295022 | − | 0.406062i | ||||
\(971\) | 0.649473 | + | 0.211027i | 0.0208426 | + | 0.00677217i | 0.319420 | − | 0.947613i | \(-0.396512\pi\) |
−0.298577 | + | 0.954386i | \(0.596512\pi\) | |||||||
\(972\) | −15.5631 | − | 0.888279i | −0.499188 | − | 0.0284916i | ||||
\(973\) | 9.36412 | − | 6.80343i | 0.300200 | − | 0.218108i | ||||
\(974\) | 5.40692 | − | 3.92836i | 0.173249 | − | 0.125873i | ||||
\(975\) | −21.8822 | + | 53.4783i | −0.700791 | + | 1.71268i | ||||
\(976\) | −8.46437 | − | 2.75024i | −0.270938 | − | 0.0880330i | ||||
\(977\) | 27.5216 | − | 37.8802i | 0.880494 | − | 1.21190i | −0.0957898 | − | 0.995402i | \(-0.530538\pi\) |
0.976284 | − | 0.216495i | \(-0.0694623\pi\) | |||||||
\(978\) | −15.6578 | + | 18.4936i | −0.500681 | + | 0.591359i | ||||
\(979\) | −20.5061 | − | 41.7121i | −0.655379 | − | 1.33313i | ||||
\(980\) | 3.47700i | 0.111069i | ||||||||
\(981\) | 21.9138 | + | 10.9290i | 0.699655 | + | 0.348937i | ||||
\(982\) | 6.11100 | − | 18.8077i | 0.195010 | − | 0.600179i | ||||
\(983\) | −46.1059 | + | 14.9807i | −1.47055 | + | 0.477811i | −0.931274 | − | 0.364318i | \(-0.881302\pi\) |
−0.539276 | + | 0.842129i | \(0.681302\pi\) | |||||||
\(984\) | −0.921764 | + | 12.3941i | −0.0293848 | + | 0.395109i | ||||
\(985\) | −23.6005 | − | 32.4833i | −0.751975 | − | 1.03500i | ||||
\(986\) | −4.31483 | − | 13.2797i | −0.137412 | − | 0.422911i | ||||
\(987\) | −9.91484 | − | 16.0243i | −0.315593 | − | 0.510059i | ||||
\(988\) | 8.77053 | + | 6.37216i | 0.279028 | + | 0.202726i | ||||
\(989\) | 4.87937 | 0.155155 | ||||||||
\(990\) | −34.5952 | − | 0.197717i | −1.09951 | − | 0.00628386i | ||||
\(991\) | 17.8508 | 0.567050 | 0.283525 | − | 0.958965i | \(-0.408496\pi\) | ||||
0.283525 | + | 0.958965i | \(0.408496\pi\) | |||||||
\(992\) | −1.01888 | − | 0.740257i | −0.0323494 | − | 0.0235032i | ||||
\(993\) | 20.4426 | + | 33.0392i | 0.648726 | + | 1.04847i | ||||
\(994\) | 4.64903 | + | 14.3082i | 0.147458 | + | 0.453830i | ||||
\(995\) | 4.45254 | + | 6.12840i | 0.141155 | + | 0.194283i | ||||
\(996\) | −2.05924 | + | 27.6886i | −0.0652494 | + | 0.877346i | ||||
\(997\) | −44.6109 | + | 14.4950i | −1.41284 | + | 0.459060i | −0.913320 | − | 0.407242i | \(-0.866490\pi\) |
−0.499521 | + | 0.866302i | \(0.666490\pi\) | |||||||
\(998\) | −5.31910 | + | 16.3705i | −0.168373 | + | 0.518200i | ||||
\(999\) | 5.57943 | + | 12.9927i | 0.176525 | + | 0.411072i |
(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.w.a.29.5 | ✓ | 48 | |
3.2 | odd | 2 | 462.2.w.b.29.10 | yes | 48 | ||
11.8 | odd | 10 | 462.2.w.b.239.10 | yes | 48 | ||
33.8 | even | 10 | inner | 462.2.w.a.239.5 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.w.a.29.5 | ✓ | 48 | 1.1 | even | 1 | trivial | |
462.2.w.a.239.5 | yes | 48 | 33.8 | even | 10 | inner | |
462.2.w.b.29.10 | yes | 48 | 3.2 | odd | 2 | ||
462.2.w.b.239.10 | yes | 48 | 11.8 | odd | 10 |