Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,2,Mod(4,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.e (of order \(7\), degree \(6\), 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: | \(0.343356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{14})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 16.1 | ||
Root | \(0.900969 + 0.433884i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 43.16 |
Dual form | 43.2.e.b.35.1 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{4}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 2.19064i | 0.353553 | + | 1.54902i | 0.768908 | + | 0.639359i | \(0.220800\pi\) |
−0.415355 | + | 0.909659i | \(0.636343\pi\) | |||||||
\(3\) | 0.346011 | − | 1.51597i | 0.199769 | − | 0.875247i | −0.771304 | − | 0.636467i | \(-0.780395\pi\) |
0.971074 | − | 0.238780i | \(-0.0767476\pi\) | |||||||
\(4\) | −2.74698 | + | 1.32288i | −1.37349 | + | 0.661438i | ||||
\(5\) | −1.24698 | − | 1.56366i | −0.557666 | − | 0.699291i | 0.420458 | − | 0.907312i | \(-0.361869\pi\) |
−0.978124 | + | 0.208021i | \(0.933298\pi\) | |||||||
\(6\) | 3.49396 | 1.42640 | ||||||||
\(7\) | −4.24698 | −1.60521 | −0.802604 | − | 0.596513i | \(-0.796553\pi\) | ||||
−0.802604 | + | 0.596513i | \(0.796553\pi\) | |||||||
\(8\) | −1.46950 | − | 1.84270i | −0.519547 | − | 0.651491i | ||||
\(9\) | 0.524459 | + | 0.252566i | 0.174820 | + | 0.0841887i | ||||
\(10\) | 2.80194 | − | 3.51352i | 0.886051 | − | 1.11107i | ||||
\(11\) | 3.96950 | + | 1.91161i | 1.19685 | + | 0.576372i | 0.922776 | − | 0.385336i | \(-0.125915\pi\) |
0.274073 | + | 0.961709i | \(0.411629\pi\) | |||||||
\(12\) | 1.05496 | + | 4.62207i | 0.304540 | + | 1.33428i | ||||
\(13\) | 0.192021 | + | 0.240787i | 0.0532572 | + | 0.0667824i | 0.807747 | − | 0.589530i | \(-0.200687\pi\) |
−0.754490 | + | 0.656312i | \(0.772115\pi\) | |||||||
\(14\) | −2.12349 | − | 9.30362i | −0.567527 | − | 2.48650i | ||||
\(15\) | −2.80194 | + | 1.34934i | −0.723457 | + | 0.348399i | ||||
\(16\) | −0.500000 | + | 0.626980i | −0.125000 | + | 0.156745i | ||||
\(17\) | 2.80194 | − | 3.51352i | 0.679570 | − | 0.852153i | −0.315745 | − | 0.948844i | \(-0.602254\pi\) |
0.995314 | + | 0.0966907i | \(0.0308258\pi\) | |||||||
\(18\) | −0.291053 | + | 1.27518i | −0.0686018 | + | 0.300564i | ||||
\(19\) | −5.12833 | + | 2.46968i | −1.17652 | + | 0.566582i | −0.916896 | − | 0.399127i | \(-0.869313\pi\) |
−0.259625 | + | 0.965710i | \(0.583599\pi\) | |||||||
\(20\) | 5.49396 | + | 2.64575i | 1.22849 | + | 0.591608i | ||||
\(21\) | −1.46950 | + | 6.43830i | −0.320671 | + | 1.40495i | ||||
\(22\) | −2.20291 | + | 9.65156i | −0.469661 | + | 2.05772i | ||||
\(23\) | −1.98039 | − | 0.953703i | −0.412939 | − | 0.198861i | 0.215868 | − | 0.976423i | \(-0.430742\pi\) |
−0.628807 | + | 0.777562i | \(0.716456\pi\) | |||||||
\(24\) | −3.30194 | + | 1.59013i | −0.674005 | + | 0.324584i | ||||
\(25\) | 0.222521 | − | 0.974928i | 0.0445042 | − | 0.194986i | ||||
\(26\) | −0.431468 | + | 0.541044i | −0.0846179 | + | 0.106107i | ||||
\(27\) | 3.47285 | − | 4.35482i | 0.668351 | − | 0.838085i | ||||
\(28\) | 11.6664 | − | 5.61823i | 2.20474 | − | 1.06174i | ||||
\(29\) | 0.653989 | + | 2.86531i | 0.121443 | + | 0.532075i | 0.998649 | + | 0.0519619i | \(0.0165474\pi\) |
−0.877206 | + | 0.480114i | \(0.840595\pi\) | |||||||
\(30\) | −4.35690 | − | 5.46337i | −0.795457 | − | 0.997471i | ||||
\(31\) | −0.797093 | − | 3.49229i | −0.143162 | − | 0.627235i | −0.994689 | − | 0.102924i | \(-0.967180\pi\) |
0.851527 | − | 0.524311i | \(-0.175677\pi\) | |||||||
\(32\) | −5.87047 | − | 2.82707i | −1.03776 | − | 0.499760i | ||||
\(33\) | 4.27144 | − | 5.35621i | 0.743562 | − | 0.932397i | ||||
\(34\) | 9.09783 | + | 4.38129i | 1.56027 | + | 0.751384i | ||||
\(35\) | 5.29590 | + | 6.64084i | 0.895170 | + | 1.12251i | ||||
\(36\) | −1.77479 | −0.295798 | ||||||||
\(37\) | 4.87263 | 0.801055 | 0.400527 | − | 0.916285i | \(-0.368827\pi\) | ||||
0.400527 | + | 0.916285i | \(0.368827\pi\) | |||||||
\(38\) | −7.97434 | − | 9.99951i | −1.29361 | − | 1.62214i | ||||
\(39\) | 0.431468 | − | 0.207784i | 0.0690902 | − | 0.0332721i | ||||
\(40\) | −1.04892 | + | 4.59561i | −0.165848 | + | 0.726629i | ||||
\(41\) | 0.896125 | + | 3.92618i | 0.139951 | + | 0.613166i | 0.995444 | + | 0.0953509i | \(0.0303973\pi\) |
−0.855493 | + | 0.517815i | \(0.826746\pi\) | |||||||
\(42\) | −14.8388 | −2.28967 | ||||||||
\(43\) | −6.46950 | + | 1.07031i | −0.986590 | + | 0.163221i | ||||
\(44\) | −13.4330 | −2.02509 | ||||||||
\(45\) | −0.259061 | − | 1.13502i | −0.0386186 | − | 0.169199i | ||||
\(46\) | 1.09903 | − | 4.81517i | 0.162043 | − | 0.709958i | ||||
\(47\) | 0.900969 | − | 0.433884i | 0.131420 | − | 0.0632884i | −0.367018 | − | 0.930214i | \(-0.619621\pi\) |
0.498438 | + | 0.866925i | \(0.333907\pi\) | |||||||
\(48\) | 0.777479 | + | 0.974928i | 0.112219 | + | 0.140719i | ||||
\(49\) | 11.0368 | 1.57669 | ||||||||
\(50\) | 2.24698 | 0.317771 | ||||||||
\(51\) | −4.35690 | − | 5.46337i | −0.610087 | − | 0.765025i | ||||
\(52\) | −0.846011 | − | 0.407417i | −0.117321 | − | 0.0564986i | ||||
\(53\) | −0.876510 | + | 1.09911i | −0.120398 | + | 0.150974i | −0.838378 | − | 0.545090i | \(-0.816496\pi\) |
0.717980 | + | 0.696064i | \(0.245067\pi\) | |||||||
\(54\) | 11.2763 | + | 5.43037i | 1.53451 | + | 0.738980i | ||||
\(55\) | −1.96077 | − | 8.59070i | −0.264390 | − | 1.15837i | ||||
\(56\) | 6.24094 | + | 7.82589i | 0.833981 | + | 1.04578i | ||||
\(57\) | 1.96950 | + | 8.62895i | 0.260867 | + | 1.14293i | ||||
\(58\) | −5.94989 | + | 2.86531i | −0.781258 | + | 0.376234i | ||||
\(59\) | −2.03199 | + | 2.54804i | −0.264543 | + | 0.331726i | −0.896307 | − | 0.443435i | \(-0.853760\pi\) |
0.631764 | + | 0.775161i | \(0.282331\pi\) | |||||||
\(60\) | 5.91185 | − | 7.41323i | 0.763217 | − | 0.957044i | ||||
\(61\) | −0.504844 | + | 2.21187i | −0.0646387 | + | 0.283201i | −0.996909 | − | 0.0785611i | \(-0.974967\pi\) |
0.932271 | + | 0.361762i | \(0.117825\pi\) | |||||||
\(62\) | 7.25182 | − | 3.49229i | 0.920983 | − | 0.443522i | ||||
\(63\) | −2.22737 | − | 1.07264i | −0.280622 | − | 0.135140i | ||||
\(64\) | 2.90097 | − | 12.7100i | 0.362621 | − | 1.58875i | ||||
\(65\) | 0.137063 | − | 0.600514i | 0.0170006 | − | 0.0744846i | ||||
\(66\) | 13.8693 | + | 6.67909i | 1.70719 | + | 0.822139i | ||||
\(67\) | −3.77144 | + | 1.81623i | −0.460755 | + | 0.221888i | −0.649837 | − | 0.760074i | \(-0.725163\pi\) |
0.189083 | + | 0.981961i | \(0.439449\pi\) | |||||||
\(68\) | −3.04892 | + | 13.3582i | −0.369736 | + | 1.61992i | ||||
\(69\) | −2.13102 | + | 2.67222i | −0.256545 | + | 0.321697i | ||||
\(70\) | −11.8998 | + | 14.9218i | −1.42229 | + | 1.78350i | ||||
\(71\) | 7.93900 | − | 3.82322i | 0.942186 | − | 0.453733i | 0.101246 | − | 0.994861i | \(-0.467717\pi\) |
0.840940 | + | 0.541128i | \(0.182003\pi\) | |||||||
\(72\) | −0.305290 | − | 1.33756i | −0.0359788 | − | 0.157633i | ||||
\(73\) | 2.65399 | + | 3.32800i | 0.310626 | + | 0.389513i | 0.912499 | − | 0.409079i | \(-0.134150\pi\) |
−0.601873 | + | 0.798592i | \(0.705579\pi\) | |||||||
\(74\) | 2.43631 | + | 10.6742i | 0.283216 | + | 1.24085i | ||||
\(75\) | −1.40097 | − | 0.674671i | −0.161770 | − | 0.0779043i | ||||
\(76\) | 10.8204 | − | 13.5683i | 1.24118 | − | 1.55639i | ||||
\(77\) | −16.8584 | − | 8.11857i | −1.92119 | − | 0.925197i | ||||
\(78\) | 0.670915 | + | 0.841301i | 0.0759662 | + | 0.0952586i | ||||
\(79\) | 3.71379 | 0.417834 | 0.208917 | − | 0.977933i | \(-0.433006\pi\) | ||||
0.208917 | + | 0.977933i | \(0.433006\pi\) | |||||||
\(80\) | 1.60388 | 0.179319 | ||||||||
\(81\) | −4.31133 | − | 5.40624i | −0.479037 | − | 0.600693i | ||||
\(82\) | −8.15279 | + | 3.92618i | −0.900325 | + | 0.433574i | ||||
\(83\) | −2.26175 | + | 9.90937i | −0.248259 | + | 1.08769i | 0.685015 | + | 0.728529i | \(0.259796\pi\) |
−0.933274 | + | 0.359166i | \(0.883061\pi\) | |||||||
\(84\) | −4.48039 | − | 19.6299i | −0.488850 | − | 2.14179i | ||||
\(85\) | −8.98792 | −0.974877 | ||||||||
\(86\) | −5.57942 | − | 13.6372i | −0.601644 | − | 1.47054i | ||||
\(87\) | 4.57002 | 0.489958 | ||||||||
\(88\) | −2.31067 | − | 10.1237i | −0.246318 | − | 1.07919i | ||||
\(89\) | −1.11207 | + | 4.87231i | −0.117879 | + | 0.516463i | 0.881167 | + | 0.472805i | \(0.156758\pi\) |
−0.999047 | + | 0.0436585i | \(0.986099\pi\) | |||||||
\(90\) | 2.35690 | − | 1.13502i | 0.248439 | − | 0.119642i | ||||
\(91\) | −0.815511 | − | 1.02262i | −0.0854888 | − | 0.107200i | ||||
\(92\) | 6.70171 | 0.698702 | ||||||||
\(93\) | −5.57002 | −0.577585 | ||||||||
\(94\) | 1.40097 | + | 1.75676i | 0.144499 | + | 0.181196i | ||||
\(95\) | 10.2567 | + | 4.93935i | 1.05231 | + | 0.506767i | ||||
\(96\) | −6.31700 | + | 7.92127i | −0.644726 | + | 0.808461i | ||||
\(97\) | −16.4400 | − | 7.91707i | −1.66923 | − | 0.803856i | −0.998041 | − | 0.0625659i | \(-0.980072\pi\) |
−0.671184 | − | 0.741291i | \(-0.734214\pi\) | |||||||
\(98\) | 5.51842 | + | 24.1778i | 0.557444 | + | 2.44232i | ||||
\(99\) | 1.59903 | + | 2.00512i | 0.160709 | + | 0.201522i | ||||
\(100\) | 0.678448 | + | 2.97247i | 0.0678448 | + | 0.297247i | ||||
\(101\) | 8.30678 | − | 4.00034i | 0.826556 | − | 0.398048i | 0.0277334 | − | 0.999615i | \(-0.491171\pi\) |
0.798822 | + | 0.601567i | \(0.205457\pi\) | |||||||
\(102\) | 9.78986 | − | 12.2761i | 0.969340 | − | 1.21551i | ||||
\(103\) | −0.725873 | + | 0.910216i | −0.0715224 | + | 0.0896863i | −0.816306 | − | 0.577620i | \(-0.803981\pi\) |
0.744783 | + | 0.667307i | \(0.232553\pi\) | |||||||
\(104\) | 0.161522 | − | 0.707674i | 0.0158385 | − | 0.0693932i | ||||
\(105\) | 11.8998 | − | 5.73063i | 1.16130 | − | 0.559252i | ||||
\(106\) | −2.84601 | − | 1.37057i | −0.276429 | − | 0.133121i | ||||
\(107\) | 3.48039 | − | 15.2486i | 0.336462 | − | 1.47413i | −0.469904 | − | 0.882717i | \(-0.655712\pi\) |
0.806366 | − | 0.591417i | \(-0.201431\pi\) | |||||||
\(108\) | −3.77897 | + | 16.5568i | −0.363632 | + | 1.59317i | ||||
\(109\) | −8.06249 | − | 3.88269i | −0.772247 | − | 0.371894i | 0.00589553 | − | 0.999983i | \(-0.498123\pi\) |
−0.778142 | + | 0.628088i | \(0.783838\pi\) | |||||||
\(110\) | 17.8388 | − | 8.59070i | 1.70086 | − | 0.819091i | ||||
\(111\) | 1.68598 | − | 7.38676i | 0.160026 | − | 0.701121i | ||||
\(112\) | 2.12349 | − | 2.66277i | 0.200651 | − | 0.251608i | ||||
\(113\) | 5.82640 | − | 7.30607i | 0.548101 | − | 0.687297i | −0.428207 | − | 0.903681i | \(-0.640855\pi\) |
0.976308 | + | 0.216383i | \(0.0694261\pi\) | |||||||
\(114\) | −17.9182 | + | 8.62895i | −1.67819 | + | 0.808175i | ||||
\(115\) | 0.978230 | + | 4.28590i | 0.0912204 | + | 0.399663i | ||||
\(116\) | −5.58695 | − | 7.00581i | −0.518735 | − | 0.650473i | ||||
\(117\) | 0.0398926 | + | 0.174781i | 0.00368808 | + | 0.0161585i | ||||
\(118\) | −6.59783 | − | 3.17735i | −0.607380 | − | 0.292499i | ||||
\(119\) | −11.8998 | + | 14.9218i | −1.09085 | + | 1.36788i | ||||
\(120\) | 6.60388 | + | 3.18026i | 0.602849 | + | 0.290317i | ||||
\(121\) | 5.24429 | + | 6.57613i | 0.476754 | + | 0.597830i | ||||
\(122\) | −5.09783 | −0.461536 | ||||||||
\(123\) | 6.26205 | 0.564630 | ||||||||
\(124\) | 6.80947 | + | 8.53881i | 0.611509 | + | 0.766807i | ||||
\(125\) | −10.8116 | + | 5.20660i | −0.967021 | + | 0.465693i | ||||
\(126\) | 1.23609 | − | 5.41568i | 0.110120 | − | 0.482467i | ||||
\(127\) | 3.25786 | + | 14.2736i | 0.289089 | + | 1.26658i | 0.885778 | + | 0.464108i | \(0.153625\pi\) |
−0.596690 | + | 0.802472i | \(0.703518\pi\) | |||||||
\(128\) | 16.2620 | 1.43738 | ||||||||
\(129\) | −0.615957 | + | 10.1779i | −0.0542320 | + | 0.896116i | ||||
\(130\) | 1.38404 | 0.121389 | ||||||||
\(131\) | 2.33513 | + | 10.2309i | 0.204021 | + | 0.893874i | 0.968458 | + | 0.249176i | \(0.0801597\pi\) |
−0.764437 | + | 0.644698i | \(0.776983\pi\) | |||||||
\(132\) | −4.64795 | + | 20.3640i | −0.404552 | + | 1.77246i | ||||
\(133\) | 21.7799 | − | 10.4887i | 1.88856 | − | 0.909482i | ||||
\(134\) | −5.86443 | − | 7.35376i | −0.506609 | − | 0.635268i | ||||
\(135\) | −11.1400 | −0.958783 | ||||||||
\(136\) | −10.5918 | −0.908239 | ||||||||
\(137\) | −5.57942 | − | 6.99637i | −0.476682 | − | 0.597740i | 0.484111 | − | 0.875006i | \(-0.339143\pi\) |
−0.960793 | + | 0.277266i | \(0.910572\pi\) | |||||||
\(138\) | −6.91939 | − | 3.33220i | −0.589017 | − | 0.283656i | ||||
\(139\) | 5.24847 | − | 6.58138i | 0.445170 | − | 0.558225i | −0.507728 | − | 0.861517i | \(-0.669514\pi\) |
0.952898 | + | 0.303292i | \(0.0980859\pi\) | |||||||
\(140\) | −23.3327 | − | 11.2365i | −1.97198 | − | 0.949654i | ||||
\(141\) | −0.346011 | − | 1.51597i | −0.0291394 | − | 0.127668i | ||||
\(142\) | 12.3448 | + | 15.4799i | 1.03595 | + | 1.29904i | ||||
\(143\) | 0.301938 | + | 1.32288i | 0.0252493 | + | 0.110624i | ||||
\(144\) | −0.420583 | + | 0.202542i | −0.0350486 | + | 0.0168785i | ||||
\(145\) | 3.66487 | − | 4.59561i | 0.304351 | − | 0.381644i | ||||
\(146\) | −5.96346 | + | 7.47794i | −0.493539 | + | 0.618879i | ||||
\(147\) | 3.81886 | − | 16.7315i | 0.314975 | − | 1.37999i | ||||
\(148\) | −13.3850 | + | 6.44588i | −1.10024 | + | 0.529848i | ||||
\(149\) | 5.61745 | + | 2.70522i | 0.460199 | + | 0.221620i | 0.649595 | − | 0.760281i | \(-0.274939\pi\) |
−0.189396 | + | 0.981901i | \(0.560653\pi\) | |||||||
\(150\) | 0.777479 | − | 3.40636i | 0.0634809 | − | 0.278128i | ||||
\(151\) | 1.24698 | − | 5.46337i | 0.101478 | − | 0.444603i | −0.898506 | − | 0.438961i | \(-0.855347\pi\) |
0.999984 | − | 0.00564254i | \(-0.00179609\pi\) | |||||||
\(152\) | 12.0869 | + | 5.82077i | 0.980381 | + | 0.472127i | ||||
\(153\) | 2.35690 | − | 1.13502i | 0.190544 | − | 0.0917610i | ||||
\(154\) | 9.35570 | − | 40.9900i | 0.753904 | − | 3.30307i | ||||
\(155\) | −4.46681 | + | 5.60121i | −0.358783 | + | 0.449900i | ||||
\(156\) | −0.910362 | + | 1.14156i | −0.0728873 | + | 0.0913978i | ||||
\(157\) | −9.54892 | + | 4.59852i | −0.762087 | + | 0.367002i | −0.774213 | − | 0.632925i | \(-0.781854\pi\) |
0.0121266 | + | 0.999926i | \(0.496140\pi\) | |||||||
\(158\) | 1.85690 | + | 8.13559i | 0.147727 | + | 0.647233i | ||||
\(159\) | 1.36294 | + | 1.70907i | 0.108088 | + | 0.135538i | ||||
\(160\) | 2.89977 | + | 12.7047i | 0.229247 | + | 1.00440i | ||||
\(161\) | 8.41066 | + | 4.05036i | 0.662853 | + | 0.319213i | ||||
\(162\) | 9.68747 | − | 12.1477i | 0.761120 | − | 0.954414i | ||||
\(163\) | 21.0966 | + | 10.1596i | 1.65242 | + | 0.795762i | 0.999257 | + | 0.0385411i | \(0.0122711\pi\) |
0.653159 | + | 0.757221i | \(0.273443\pi\) | |||||||
\(164\) | −7.65548 | − | 9.59967i | −0.597793 | − | 0.749608i | ||||
\(165\) | −13.7017 | −1.06668 | ||||||||
\(166\) | −22.8388 | −1.77263 | ||||||||
\(167\) | 6.18180 | + | 7.75173i | 0.478362 | + | 0.599847i | 0.961197 | − | 0.275865i | \(-0.0889641\pi\) |
−0.482834 | + | 0.875712i | \(0.660393\pi\) | |||||||
\(168\) | 14.0233 | − | 6.75325i | 1.08192 | − | 0.521024i | ||||
\(169\) | 2.87167 | − | 12.5816i | 0.220897 | − | 0.967815i | ||||
\(170\) | −4.49396 | − | 19.6893i | −0.344671 | − | 1.51010i | ||||
\(171\) | −3.31336 | −0.253379 | ||||||||
\(172\) | 16.3557 | − | 11.4985i | 1.24711 | − | 0.876750i | ||||
\(173\) | −1.53319 | −0.116566 | −0.0582831 | − | 0.998300i | \(-0.518563\pi\) | ||||
−0.0582831 | + | 0.998300i | \(0.518563\pi\) | |||||||
\(174\) | 2.28501 | + | 10.0113i | 0.173226 | + | 0.758954i | ||||
\(175\) | −0.945042 | + | 4.14050i | −0.0714385 | + | 0.312992i | ||||
\(176\) | −3.18329 | + | 1.53299i | −0.239950 | + | 0.115554i | ||||
\(177\) | 3.15966 | + | 3.96209i | 0.237495 | + | 0.297809i | ||||
\(178\) | −11.2295 | −0.841688 | ||||||||
\(179\) | −17.2228 | −1.28729 | −0.643647 | − | 0.765323i | \(-0.722579\pi\) | ||||
−0.643647 | + | 0.765323i | \(0.722579\pi\) | |||||||
\(180\) | 2.21313 | + | 2.77517i | 0.164957 | + | 0.206849i | ||||
\(181\) | −10.9330 | − | 5.26504i | −0.812641 | − | 0.391347i | −0.0190646 | − | 0.999818i | \(-0.506069\pi\) |
−0.793576 | + | 0.608471i | \(0.791783\pi\) | |||||||
\(182\) | 1.83244 | − | 2.29780i | 0.135829 | − | 0.170325i | ||||
\(183\) | 3.17845 | + | 1.53066i | 0.234958 | + | 0.113150i | ||||
\(184\) | 1.15279 | + | 5.05072i | 0.0849850 | + | 0.372344i | ||||
\(185\) | −6.07606 | − | 7.61914i | −0.446721 | − | 0.560171i | ||||
\(186\) | −2.78501 | − | 12.2019i | −0.204207 | − | 0.894689i | ||||
\(187\) | 17.8388 | − | 8.59070i | 1.30450 | − | 0.628214i | ||||
\(188\) | −1.90097 | + | 2.38374i | −0.138642 | + | 0.173852i | ||||
\(189\) | −14.7491 | + | 18.4948i | −1.07284 | + | 1.34530i | ||||
\(190\) | −5.69202 | + | 24.9384i | −0.412943 | + | 1.80922i | ||||
\(191\) | 14.4351 | − | 6.95159i | 1.04449 | − | 0.502999i | 0.168686 | − | 0.985670i | \(-0.446047\pi\) |
0.875802 | + | 0.482671i | \(0.160333\pi\) | |||||||
\(192\) | −18.2642 | − | 8.79558i | −1.31811 | − | 0.634766i | ||||
\(193\) | −5.29321 | + | 23.1911i | −0.381013 | + | 1.66933i | 0.313298 | + | 0.949655i | \(0.398566\pi\) |
−0.694312 | + | 0.719674i | \(0.744291\pi\) | |||||||
\(194\) | 9.12349 | − | 39.9726i | 0.655028 | − | 2.86987i | ||||
\(195\) | −0.862937 | − | 0.415568i | −0.0617962 | − | 0.0297595i | ||||
\(196\) | −30.3180 | + | 14.6004i | −2.16557 | + | 1.04288i | ||||
\(197\) | −3.52811 | + | 15.4576i | −0.251367 | + | 1.10131i | 0.678843 | + | 0.734284i | \(0.262482\pi\) |
−0.930210 | + | 0.367028i | \(0.880375\pi\) | |||||||
\(198\) | −3.59299 | + | 4.50547i | −0.255343 | + | 0.320190i | ||||
\(199\) | 5.46077 | − | 6.84759i | 0.387104 | − | 0.485413i | −0.549653 | − | 0.835393i | \(-0.685240\pi\) |
0.936757 | + | 0.349980i | \(0.113812\pi\) | |||||||
\(200\) | −2.12349 | + | 1.02262i | −0.150153 | + | 0.0723101i | ||||
\(201\) | 1.44839 | + | 6.34583i | 0.102162 | + | 0.447600i | ||||
\(202\) | 12.9167 | + | 16.1970i | 0.908816 | + | 1.13962i | ||||
\(203\) | −2.77748 | − | 12.1689i | −0.194941 | − | 0.854092i | ||||
\(204\) | 19.1957 | + | 9.24415i | 1.34397 | + | 0.647220i | ||||
\(205\) | 5.02177 | − | 6.29710i | 0.350736 | − | 0.439809i | ||||
\(206\) | −2.35690 | − | 1.13502i | −0.164213 | − | 0.0790807i | ||||
\(207\) | −0.797757 | − | 1.00036i | −0.0554480 | − | 0.0695296i | ||||
\(208\) | −0.246980 | −0.0171250 | ||||||||
\(209\) | −25.0780 | −1.73468 | ||||||||
\(210\) | 18.5036 | + | 23.2028i | 1.27687 | + | 1.60115i | ||||
\(211\) | −7.73609 | + | 3.72551i | −0.532575 | + | 0.256474i | −0.680787 | − | 0.732481i | \(-0.738362\pi\) |
0.148213 | + | 0.988956i | \(0.452648\pi\) | |||||||
\(212\) | 0.953771 | − | 4.17874i | 0.0655053 | − | 0.286997i | ||||
\(213\) | −3.04892 | − | 13.3582i | −0.208908 | − | 0.915287i | ||||
\(214\) | 35.1444 | 2.40242 | ||||||||
\(215\) | 9.74094 | + | 8.78146i | 0.664327 | + | 0.598891i | ||||
\(216\) | −13.1280 | −0.893245 | ||||||||
\(217\) | 3.38524 | + | 14.8317i | 0.229805 | + | 1.00684i | ||||
\(218\) | 4.47434 | − | 19.6034i | 0.303041 | − | 1.32771i | ||||
\(219\) | 5.96346 | − | 2.87185i | 0.402973 | − | 0.194062i | ||||
\(220\) | 16.7506 | + | 21.0046i | 1.12933 | + | 1.41613i | ||||
\(221\) | 1.38404 | 0.0931008 | ||||||||
\(222\) | 17.0248 | 1.14263 | ||||||||
\(223\) | −4.74094 | − | 5.94495i | −0.317477 | − | 0.398103i | 0.597330 | − | 0.801996i | \(-0.296228\pi\) |
−0.914806 | + | 0.403893i | \(0.867657\pi\) | |||||||
\(224\) | 24.9318 | + | 12.0065i | 1.66582 | + | 0.802218i | ||||
\(225\) | 0.362937 | − | 0.455108i | 0.0241958 | − | 0.0303405i | ||||
\(226\) | 18.9182 | + | 9.11052i | 1.25842 | + | 0.606023i | ||||
\(227\) | −3.45204 | − | 15.1244i | −0.229120 | − | 1.00384i | −0.950359 | − | 0.311155i | \(-0.899284\pi\) |
0.721239 | − | 0.692686i | \(-0.243573\pi\) | |||||||
\(228\) | −16.8252 | − | 21.0981i | −1.11428 | − | 1.39726i | ||||
\(229\) | 5.25936 | + | 23.0427i | 0.347548 | + | 1.52271i | 0.782728 | + | 0.622364i | \(0.213828\pi\) |
−0.435180 | + | 0.900344i | \(0.643315\pi\) | |||||||
\(230\) | −8.89977 | + | 4.28590i | −0.586834 | + | 0.282604i | ||||
\(231\) | −18.1407 | + | 22.7477i | −1.19357 | + | 1.49669i | ||||
\(232\) | 4.31886 | − | 5.41568i | 0.283547 | − | 0.355557i | ||||
\(233\) | 4.82036 | − | 21.1194i | 0.315792 | − | 1.38358i | −0.529064 | − | 0.848582i | \(-0.677457\pi\) |
0.844856 | − | 0.534993i | \(-0.179686\pi\) | |||||||
\(234\) | −0.362937 | + | 0.174781i | −0.0237259 | + | 0.0114258i | ||||
\(235\) | −1.80194 | − | 0.867767i | −0.117545 | − | 0.0566069i | ||||
\(236\) | 2.21110 | − | 9.68748i | 0.143931 | − | 0.630601i | ||||
\(237\) | 1.28501 | − | 5.63000i | 0.0834705 | − | 0.365708i | ||||
\(238\) | −38.6383 | − | 18.6072i | −2.50455 | − | 1.20613i | ||||
\(239\) | 15.4976 | − | 7.46325i | 1.00246 | − | 0.482758i | 0.140685 | − | 0.990054i | \(-0.455069\pi\) |
0.861772 | + | 0.507297i | \(0.169355\pi\) | |||||||
\(240\) | 0.554958 | − | 2.43143i | 0.0358224 | − | 0.156948i | ||||
\(241\) | 15.7676 | − | 19.7719i | 1.01568 | − | 1.27362i | 0.0542596 | − | 0.998527i | \(-0.482720\pi\) |
0.961418 | − | 0.275092i | \(-0.0887084\pi\) | |||||||
\(242\) | −11.7838 | + | 14.7764i | −0.757492 | + | 0.949865i | ||||
\(243\) | 5.36778 | − | 2.58499i | 0.344343 | − | 0.165827i | ||||
\(244\) | −1.53923 | − | 6.74380i | −0.0985390 | − | 0.431728i | ||||
\(245\) | −13.7627 | − | 17.2579i | −0.879267 | − | 1.10257i | ||||
\(246\) | 3.13102 | + | 13.7179i | 0.199627 | + | 0.874622i | ||||
\(247\) | −1.57942 | − | 0.760607i | −0.100496 | − | 0.0483963i | ||||
\(248\) | −5.26391 | + | 6.60073i | −0.334258 | + | 0.419147i | ||||
\(249\) | 14.2397 | + | 6.85750i | 0.902407 | + | 0.434576i | ||||
\(250\) | −16.8116 | − | 21.0811i | −1.06326 | − | 1.33329i | ||||
\(251\) | −1.94139 | −0.122540 | −0.0612699 | − | 0.998121i | \(-0.519515\pi\) | ||||
−0.0612699 | + | 0.998121i | \(0.519515\pi\) | |||||||
\(252\) | 7.53750 | 0.474818 | ||||||||
\(253\) | −6.03803 | − | 7.57145i | −0.379608 | − | 0.476013i | ||||
\(254\) | −29.6395 | + | 14.2736i | −1.85975 | + | 0.895608i | ||||
\(255\) | −3.10992 | + | 13.6254i | −0.194751 | + | 0.853258i | ||||
\(256\) | 2.32908 | + | 10.2044i | 0.145568 | + | 0.637774i | ||||
\(257\) | 15.7168 | 0.980386 | 0.490193 | − | 0.871614i | \(-0.336926\pi\) | ||||
0.490193 | + | 0.871614i | \(0.336926\pi\) | |||||||
\(258\) | −22.6042 | + | 3.73962i | −1.40727 | + | 0.232818i | ||||
\(259\) | −20.6939 | −1.28586 | ||||||||
\(260\) | 0.417895 | + | 1.83092i | 0.0259167 | + | 0.113549i | ||||
\(261\) | −0.380691 | + | 1.66791i | −0.0235642 | + | 0.103241i | ||||
\(262\) | −21.2446 | + | 10.2309i | −1.31249 | + | 0.632064i | ||||
\(263\) | −9.15093 | − | 11.4749i | −0.564271 | − | 0.707573i | 0.415070 | − | 0.909789i | \(-0.363757\pi\) |
−0.979341 | + | 0.202216i | \(0.935186\pi\) | |||||||
\(264\) | −16.1468 | −0.993764 | ||||||||
\(265\) | 2.81163 | 0.172717 | ||||||||
\(266\) | 33.8669 | + | 42.4677i | 2.07651 | + | 2.60386i | ||||
\(267\) | 7.00149 | + | 3.37174i | 0.428484 | + | 0.206347i | ||||
\(268\) | 7.95742 | − | 9.97829i | 0.486077 | − | 0.609521i | ||||
\(269\) | 13.5831 | + | 6.54126i | 0.828174 | + | 0.398828i | 0.799430 | − | 0.600759i | \(-0.205135\pi\) |
0.0287440 | + | 0.999587i | \(0.490849\pi\) | |||||||
\(270\) | −5.57002 | − | 24.4039i | −0.338981 | − | 1.48517i | ||||
\(271\) | −14.4242 | − | 18.0874i | −0.876210 | − | 1.09873i | −0.994394 | − | 0.105740i | \(-0.966279\pi\) |
0.118184 | − | 0.992992i | \(-0.462293\pi\) | |||||||
\(272\) | 0.801938 | + | 3.51352i | 0.0486246 | + | 0.213038i | ||||
\(273\) | −1.83244 | + | 0.882455i | −0.110904 | + | 0.0534086i | ||||
\(274\) | 12.5368 | − | 15.7207i | 0.757378 | − | 0.949722i | ||||
\(275\) | 2.74698 | − | 3.44460i | 0.165649 | − | 0.207717i | ||||
\(276\) | 2.31886 | − | 10.1596i | 0.139579 | − | 0.611536i | ||||
\(277\) | −18.7240 | + | 9.01701i | −1.12502 | + | 0.541780i | −0.901439 | − | 0.432906i | \(-0.857488\pi\) |
−0.223578 | + | 0.974686i | \(0.571774\pi\) | |||||||
\(278\) | 17.0417 | + | 8.20684i | 1.02209 | + | 0.492214i | ||||
\(279\) | 0.463992 | − | 2.03288i | 0.0277785 | − | 0.121706i | ||||
\(280\) | 4.45473 | − | 19.5174i | 0.266221 | − | 1.16639i | ||||
\(281\) | −16.9710 | − | 8.17280i | −1.01240 | − | 0.487548i | −0.147274 | − | 0.989096i | \(-0.547050\pi\) |
−0.865130 | + | 0.501547i | \(0.832764\pi\) | |||||||
\(282\) | 3.14795 | − | 1.51597i | 0.187458 | − | 0.0902748i | ||||
\(283\) | 2.90246 | − | 12.7165i | 0.172533 | − | 0.755918i | −0.812416 | − | 0.583078i | \(-0.801848\pi\) |
0.984950 | − | 0.172841i | \(-0.0552945\pi\) | |||||||
\(284\) | −16.7506 | + | 21.0046i | −0.993967 | + | 1.24640i | ||||
\(285\) | 11.0368 | − | 13.8398i | 0.653766 | − | 0.819796i | ||||
\(286\) | −2.74698 | + | 1.32288i | −0.162432 | + | 0.0782233i | ||||
\(287\) | −3.80582 | − | 16.6744i | −0.224651 | − | 0.984259i | ||||
\(288\) | −2.36480 | − | 2.96536i | −0.139347 | − | 0.174736i | ||||
\(289\) | −0.711103 | − | 3.11555i | −0.0418296 | − | 0.183267i | ||||
\(290\) | 11.8998 | + | 5.73063i | 0.698779 | + | 0.336514i | ||||
\(291\) | −17.6905 | + | 22.1831i | −1.03703 | + | 1.30040i | ||||
\(292\) | −11.6930 | − | 5.63104i | −0.684280 | − | 0.329532i | ||||
\(293\) | 16.5410 | + | 20.7418i | 0.966336 | + | 1.21175i | 0.977311 | + | 0.211808i | \(0.0679351\pi\) |
−0.0109749 | + | 0.999940i | \(0.503493\pi\) | |||||||
\(294\) | 38.5623 | 2.24900 | ||||||||
\(295\) | 6.51812 | 0.379500 | ||||||||
\(296\) | −7.16033 | − | 8.97876i | −0.416185 | − | 0.521880i | ||||
\(297\) | 22.1102 | − | 10.6477i | 1.28296 | − | 0.617843i | ||||
\(298\) | −3.11745 | + | 13.6584i | −0.180589 | + | 0.791212i | ||||
\(299\) | −0.150637 | − | 0.659983i | −0.00871156 | − | 0.0381678i | ||||
\(300\) | 4.74094 | 0.273718 | ||||||||
\(301\) | 27.4758 | − | 4.54558i | 1.58368 | − | 0.262003i | ||||
\(302\) | 12.5918 | 0.724576 | ||||||||
\(303\) | −3.19016 | − | 13.9770i | −0.183270 | − | 0.802958i | ||||
\(304\) | 1.01573 | − | 4.45020i | 0.0582561 | − | 0.255237i | ||||
\(305\) | 4.08815 | − | 1.96875i | 0.234087 | − | 0.112730i | ||||
\(306\) | 3.66487 | + | 4.59561i | 0.209507 | + | 0.262713i | ||||
\(307\) | −7.08277 | −0.404235 | −0.202117 | − | 0.979361i | \(-0.564782\pi\) | ||||
−0.202117 | + | 0.979361i | \(0.564782\pi\) | |||||||
\(308\) | 57.0495 | 3.25070 | ||||||||
\(309\) | 1.12870 | + | 1.41535i | 0.0642096 | + | 0.0805164i | ||||
\(310\) | −14.5036 | − | 6.98459i | −0.823752 | − | 0.396698i | ||||
\(311\) | −11.7947 | + | 14.7901i | −0.668816 | + | 0.838669i | −0.994271 | − | 0.106889i | \(-0.965911\pi\) |
0.325455 | + | 0.945558i | \(0.394483\pi\) | |||||||
\(312\) | −1.01693 | − | 0.489726i | −0.0575721 | − | 0.0277253i | ||||
\(313\) | 4.14071 | + | 18.1416i | 0.234047 | + | 1.02543i | 0.946246 | + | 0.323449i | \(0.104842\pi\) |
−0.712199 | + | 0.701978i | \(0.752301\pi\) | |||||||
\(314\) | −14.8482 | − | 18.6190i | −0.837931 | − | 1.05073i | ||||
\(315\) | 1.10023 | + | 4.82041i | 0.0619908 | + | 0.271599i | ||||
\(316\) | −10.2017 | + | 4.91288i | −0.573891 | + | 0.276371i | ||||
\(317\) | −8.92274 | + | 11.1888i | −0.501151 | + | 0.628423i | −0.966489 | − | 0.256710i | \(-0.917362\pi\) |
0.465338 | + | 0.885133i | \(0.345933\pi\) | |||||||
\(318\) | −3.06249 | + | 3.84024i | −0.171736 | + | 0.215350i | ||||
\(319\) | −2.88135 | + | 12.6240i | −0.161325 | + | 0.706810i | ||||
\(320\) | −23.4916 | + | 11.3129i | −1.31322 | + | 0.632413i | ||||
\(321\) | −21.9121 | − | 10.5523i | −1.22302 | − | 0.588974i | ||||
\(322\) | −4.66756 | + | 20.4499i | −0.260113 | + | 1.13963i | ||||
\(323\) | −5.69202 | + | 24.9384i | −0.316713 | + | 1.38761i | ||||
\(324\) | 18.9949 | + | 9.14747i | 1.05527 | + | 0.508193i | ||||
\(325\) | 0.277479 | − | 0.133627i | 0.0153918 | − | 0.00741229i | ||||
\(326\) | −11.7078 | + | 51.2950i | −0.648432 | + | 2.84097i | ||||
\(327\) | −8.67576 | + | 10.8791i | −0.479771 | + | 0.601613i | ||||
\(328\) | 5.91789 | − | 7.42081i | 0.326761 | − | 0.409745i | ||||
\(329\) | −3.82640 | + | 1.84270i | −0.210956 | + | 0.101591i | ||||
\(330\) | −6.85086 | − | 30.0156i | −0.377127 | − | 1.65230i | ||||
\(331\) | 12.1374 | + | 15.2198i | 0.667130 | + | 0.836554i | 0.994099 | − | 0.108481i | \(-0.0345987\pi\) |
−0.326969 | + | 0.945035i | \(0.606027\pi\) | |||||||
\(332\) | −6.89589 | − | 30.2129i | −0.378461 | − | 1.65815i | ||||
\(333\) | 2.55549 | + | 1.23066i | 0.140040 | + | 0.0674397i | ||||
\(334\) | −13.8904 | + | 17.4180i | −0.760048 | + | 0.953070i | ||||
\(335\) | 7.54288 | + | 3.63246i | 0.412111 | + | 0.198462i | ||||
\(336\) | −3.30194 | − | 4.14050i | −0.180135 | − | 0.225883i | ||||
\(337\) | −7.66786 | −0.417695 | −0.208847 | − | 0.977948i | \(-0.566971\pi\) | ||||
−0.208847 | + | 0.977948i | \(0.566971\pi\) | |||||||
\(338\) | 28.9976 | 1.57726 | ||||||||
\(339\) | −9.05980 | − | 11.3606i | −0.492061 | − | 0.617025i | ||||
\(340\) | 24.6896 | − | 11.8899i | 1.33898 | − | 0.644820i | ||||
\(341\) | 3.51184 | − | 15.3864i | 0.190177 | − | 0.833220i | ||||
\(342\) | −1.65668 | − | 7.25838i | −0.0895829 | − | 0.392488i | ||||
\(343\) | −17.1444 | −0.925708 | ||||||||
\(344\) | 11.4792 | + | 10.3485i | 0.618916 | + | 0.557954i | ||||
\(345\) | 6.83579 | 0.368027 | ||||||||
\(346\) | −0.766594 | − | 3.35867i | −0.0412123 | − | 0.180563i | ||||
\(347\) | −1.22976 | + | 5.38792i | −0.0660169 | + | 0.289239i | −0.997150 | − | 0.0754397i | \(-0.975964\pi\) |
0.931133 | + | 0.364679i | \(0.118821\pi\) | |||||||
\(348\) | −12.5538 | + | 6.04557i | −0.672952 | + | 0.324077i | ||||
\(349\) | −1.60656 | − | 2.01457i | −0.0859974 | − | 0.107837i | 0.736971 | − | 0.675924i | \(-0.236255\pi\) |
−0.822969 | + | 0.568087i | \(0.807684\pi\) | |||||||
\(350\) | −9.54288 | −0.510088 | ||||||||
\(351\) | 1.71545 | 0.0915638 | ||||||||
\(352\) | −17.8986 | − | 22.4441i | −0.953997 | − | 1.19627i | ||||
\(353\) | −21.6015 | − | 10.4027i | −1.14973 | − | 0.553681i | −0.240778 | − | 0.970580i | \(-0.577403\pi\) |
−0.908953 | + | 0.416899i | \(0.863117\pi\) | |||||||
\(354\) | −7.09970 | + | 8.90274i | −0.377345 | + | 0.473175i | ||||
\(355\) | −15.8780 | − | 7.64644i | −0.842717 | − | 0.405831i | ||||
\(356\) | −3.39062 | − | 14.8553i | −0.179702 | − | 0.787327i | ||||
\(357\) | 18.5036 | + | 23.2028i | 0.979317 | + | 1.22802i | ||||
\(358\) | −8.61141 | − | 37.7290i | −0.455127 | − | 1.99404i | ||||
\(359\) | 2.45204 | − | 1.18084i | 0.129414 | − | 0.0623224i | −0.368056 | − | 0.929803i | \(-0.619977\pi\) |
0.497470 | + | 0.867481i | \(0.334262\pi\) | |||||||
\(360\) | −1.71081 | + | 2.14529i | −0.0901675 | + | 0.113066i | ||||
\(361\) | 8.35421 | − | 10.4758i | 0.439695 | − | 0.551360i | ||||
\(362\) | 6.06734 | − | 26.5827i | 0.318892 | − | 1.39716i | ||||
\(363\) | 11.7838 | − | 5.67479i | 0.618490 | − | 0.297849i | ||||
\(364\) | 3.59299 | + | 1.73029i | 0.188324 | + | 0.0906920i | ||||
\(365\) | 1.89440 | − | 8.29989i | 0.0991572 | − | 0.434436i | ||||
\(366\) | −1.76391 | + | 7.72818i | −0.0922008 | + | 0.403958i | ||||
\(367\) | 17.5260 | + | 8.44005i | 0.914847 | + | 0.440567i | 0.831229 | − | 0.555931i | \(-0.187638\pi\) |
0.0836185 | + | 0.996498i | \(0.473352\pi\) | |||||||
\(368\) | 1.58815 | − | 0.764811i | 0.0827878 | − | 0.0398685i | ||||
\(369\) | −0.521639 | + | 2.28545i | −0.0271554 | + | 0.118976i | ||||
\(370\) | 13.6528 | − | 17.1201i | 0.709775 | − | 0.890030i | ||||
\(371\) | 3.72252 | − | 4.66789i | 0.193264 | − | 0.242345i | ||||
\(372\) | 15.3007 | − | 7.36845i | 0.793306 | − | 0.382036i | ||||
\(373\) | 3.98158 | + | 17.4445i | 0.206159 | + | 0.903239i | 0.967095 | + | 0.254414i | \(0.0818825\pi\) |
−0.760937 | + | 0.648826i | \(0.775260\pi\) | |||||||
\(374\) | 27.7385 | + | 34.7830i | 1.43433 | + | 1.79859i | ||||
\(375\) | 4.15213 | + | 18.1917i | 0.214415 | + | 0.939414i | ||||
\(376\) | −2.12349 | − | 1.02262i | −0.109511 | − | 0.0527375i | ||||
\(377\) | −0.564351 | + | 0.707674i | −0.0290656 | + | 0.0364471i | ||||
\(378\) | −47.8901 | − | 23.0627i | −2.46320 | − | 1.18622i | ||||
\(379\) | 3.01693 | + | 3.78311i | 0.154969 | + | 0.194325i | 0.853255 | − | 0.521494i | \(-0.174625\pi\) |
−0.698286 | + | 0.715819i | \(0.746054\pi\) | |||||||
\(380\) | −34.7090 | −1.78053 | ||||||||
\(381\) | 22.7657 | 1.16632 | ||||||||
\(382\) | 22.4460 | + | 28.1464i | 1.14844 | + | 1.44009i | ||||
\(383\) | 3.89708 | − | 1.87674i | 0.199132 | − | 0.0958968i | −0.331660 | − | 0.943399i | \(-0.607609\pi\) |
0.530792 | + | 0.847502i | \(0.321895\pi\) | |||||||
\(384\) | 5.62684 | − | 24.6528i | 0.287144 | − | 1.25806i | ||||
\(385\) | 8.32736 | + | 36.4845i | 0.424401 | + | 1.85942i | ||||
\(386\) | −53.4499 | −2.72053 | ||||||||
\(387\) | −3.66331 | − | 1.07264i | −0.186216 | − | 0.0545255i | ||||
\(388\) | 55.6335 | 2.82436 | ||||||||
\(389\) | −6.60872 | − | 28.9547i | −0.335075 | − | 1.46806i | −0.809163 | − | 0.587584i | \(-0.800079\pi\) |
0.474088 | − | 0.880477i | \(-0.342778\pi\) | |||||||
\(390\) | 0.478894 | − | 2.09817i | 0.0242497 | − | 0.106245i | ||||
\(391\) | −8.89977 | + | 4.28590i | −0.450081 | + | 0.216748i | ||||
\(392\) | −16.2186 | − | 20.3375i | −0.819165 | − | 1.02720i | ||||
\(393\) | 16.3177 | 0.823117 | ||||||||
\(394\) | −35.6262 | −1.79482 | ||||||||
\(395\) | −4.63102 | − | 5.80712i | −0.233012 | − | 0.292188i | ||||
\(396\) | −7.04503 | − | 3.39271i | −0.354026 | − | 0.170490i | ||||
\(397\) | 5.17510 | − | 6.48936i | 0.259731 | − | 0.325692i | −0.634819 | − | 0.772661i | \(-0.718925\pi\) |
0.894549 | + | 0.446969i | \(0.147497\pi\) | |||||||
\(398\) | 17.7310 | + | 8.53881i | 0.888775 | + | 0.428012i | ||||
\(399\) | −8.36443 | − | 36.6470i | −0.418745 | − | 1.83464i | ||||
\(400\) | 0.500000 | + | 0.626980i | 0.0250000 | + | 0.0313490i | ||||
\(401\) | 0.208283 | + | 0.912549i | 0.0104012 | + | 0.0455705i | 0.979862 | − | 0.199675i | \(-0.0639886\pi\) |
−0.969461 | + | 0.245245i | \(0.921131\pi\) | |||||||
\(402\) | −13.1773 | + | 6.34583i | −0.657222 | + | 0.316501i | ||||
\(403\) | 0.687841 | − | 0.862525i | 0.0342638 | − | 0.0429655i | ||||
\(404\) | −17.5266 | + | 21.9777i | −0.871982 | + | 1.09343i | ||||
\(405\) | −3.07739 | + | 13.4829i | −0.152917 | + | 0.669973i | ||||
\(406\) | 25.2690 | − | 12.1689i | 1.25408 | − | 0.603934i | ||||
\(407\) | 19.3419 | + | 9.31456i | 0.958742 | + | 0.461706i | ||||
\(408\) | −3.66487 | + | 16.0569i | −0.181438 | + | 0.794933i | ||||
\(409\) | −0.761750 | + | 3.33744i | −0.0376661 | + | 0.165026i | −0.990263 | − | 0.139210i | \(-0.955544\pi\) |
0.952597 | + | 0.304236i | \(0.0984010\pi\) | |||||||
\(410\) | 16.3056 | + | 7.85236i | 0.805275 | + | 0.387800i | ||||
\(411\) | −12.5368 | + | 6.03742i | −0.618397 | + | 0.297804i | ||||
\(412\) | 0.789856 | − | 3.46059i | 0.0389134 | − | 0.170491i | ||||
\(413\) | 8.62983 | − | 10.8215i | 0.424646 | − | 0.532489i | ||||
\(414\) | 1.79254 | − | 2.24778i | 0.0880988 | − | 0.110472i | ||||
\(415\) | 18.3153 | − | 8.82017i | 0.899061 | − | 0.432965i | ||||
\(416\) | −0.446534 | − | 1.95639i | −0.0218931 | − | 0.0959200i | ||||
\(417\) | −8.16115 | − | 10.2338i | −0.399653 | − | 0.501150i | ||||
\(418\) | −12.5390 | − | 54.9369i | −0.613302 | − | 2.68705i | ||||
\(419\) | −2.83997 | − | 1.36766i | −0.138742 | − | 0.0668144i | 0.363225 | − | 0.931701i | \(-0.381676\pi\) |
−0.501967 | + | 0.864887i | \(0.667390\pi\) | |||||||
\(420\) | −25.1075 | + | 31.4838i | −1.22512 | + | 1.53625i | ||||
\(421\) | −29.2494 | − | 14.0858i | −1.42553 | − | 0.686499i | −0.447369 | − | 0.894349i | \(-0.647639\pi\) |
−0.978161 | + | 0.207850i | \(0.933353\pi\) | |||||||
\(422\) | −12.0293 | − | 15.0843i | −0.585577 | − | 0.734291i | ||||
\(423\) | 0.582105 | 0.0283029 | ||||||||
\(424\) | 3.31336 | 0.160911 | ||||||||
\(425\) | −2.80194 | − | 3.51352i | −0.135914 | − | 0.170431i | ||||
\(426\) | 27.7385 | − | 13.3582i | 1.34394 | − | 0.647206i | ||||
\(427\) | 2.14406 | − | 9.39376i | 0.103759 | − | 0.454596i | ||||
\(428\) | 10.6114 | + | 46.4916i | 0.512922 | + | 2.24726i | ||||
\(429\) | 2.10992 | 0.101868 | ||||||||
\(430\) | −14.3666 | + | 25.7297i | −0.692818 | + | 1.24079i | ||||
\(431\) | 35.9148 | 1.72996 | 0.864978 | − | 0.501809i | \(-0.167332\pi\) | ||||
0.864978 | + | 0.501809i | \(0.167332\pi\) | |||||||
\(432\) | 0.993959 | + | 4.35482i | 0.0478219 | + | 0.209521i | ||||
\(433\) | −5.91119 | + | 25.8986i | −0.284074 | + | 1.24461i | 0.608444 | + | 0.793596i | \(0.291794\pi\) |
−0.892518 | + | 0.451012i | \(0.851063\pi\) | |||||||
\(434\) | −30.7983 | + | 14.8317i | −1.47837 | + | 0.711945i | ||||
\(435\) | −5.69873 | − | 7.14598i | −0.273233 | − | 0.342623i | ||||
\(436\) | 27.2838 | 1.30666 | ||||||||
\(437\) | 12.5114 | 0.598502 | ||||||||
\(438\) | 9.27293 | + | 11.6279i | 0.443078 | + | 0.555602i | ||||
\(439\) | −36.0393 | − | 17.3556i | −1.72006 | − | 0.828338i | −0.989333 | − | 0.145669i | \(-0.953467\pi\) |
−0.730728 | − | 0.682669i | \(-0.760819\pi\) | |||||||
\(440\) | −12.9487 | + | 16.2371i | −0.617305 | + | 0.774075i | ||||
\(441\) | 5.78836 | + | 2.78753i | 0.275636 | + | 0.132739i | ||||
\(442\) | 0.692021 | + | 3.03194i | 0.0329161 | + | 0.144215i | ||||
\(443\) | 9.85152 | + | 12.3534i | 0.468060 | + | 0.586928i | 0.958695 | − | 0.284437i | \(-0.0918066\pi\) |
−0.490635 | + | 0.871365i | \(0.663235\pi\) | |||||||
\(444\) | 5.14042 | + | 22.5216i | 0.243953 | + | 1.06883i | ||||
\(445\) | 9.00538 | − | 4.33676i | 0.426896 | − | 0.205582i | ||||
\(446\) | 10.6528 | − | 13.3582i | 0.504424 | − | 0.632528i | ||||
\(447\) | 6.04474 | − | 7.57986i | 0.285906 | − | 0.358515i | ||||
\(448\) | −12.3204 | + | 53.9790i | −0.582082 | + | 2.55027i | ||||
\(449\) | 11.7310 | − | 5.64936i | 0.553621 | − | 0.266610i | −0.136088 | − | 0.990697i | \(-0.543453\pi\) |
0.689709 | + | 0.724087i | \(0.257739\pi\) | |||||||
\(450\) | 1.17845 | + | 0.567511i | 0.0555526 | + | 0.0267527i | ||||
\(451\) | −3.94816 | + | 17.2980i | −0.185911 | + | 0.814531i | ||||
\(452\) | −6.33997 | + | 27.7772i | −0.298207 | + | 1.30653i | ||||
\(453\) | −7.85086 | − | 3.78077i | −0.368865 | − | 0.177636i | ||||
\(454\) | 31.4061 | − | 15.1244i | 1.47396 | − | 0.709823i | ||||
\(455\) | −0.582105 | + | 2.55037i | −0.0272895 | + | 0.119563i | ||||
\(456\) | 13.0063 | − | 16.3094i | 0.609078 | − | 0.763759i | ||||
\(457\) | −15.3787 | + | 19.2842i | −0.719384 | + | 0.902079i | −0.998303 | − | 0.0582360i | \(-0.981452\pi\) |
0.278919 | + | 0.960315i | \(0.410024\pi\) | |||||||
\(458\) | −47.8488 | + | 23.0427i | −2.23583 | + | 1.07672i | ||||
\(459\) | −5.57002 | − | 24.4039i | −0.259986 | − | 1.13908i | ||||
\(460\) | −8.35690 | − | 10.4792i | −0.389642 | − | 0.488596i | ||||
\(461\) | −2.26218 | − | 9.91124i | −0.105360 | − | 0.461613i | −0.999893 | − | 0.0146111i | \(-0.995349\pi\) |
0.894533 | − | 0.447002i | \(-0.147508\pi\) | |||||||
\(462\) | −58.9025 | − | 28.3660i | −2.74039 | − | 1.31970i | ||||
\(463\) | 9.08426 | − | 11.3913i | 0.422181 | − | 0.529399i | −0.524569 | − | 0.851368i | \(-0.675773\pi\) |
0.946750 | + | 0.321969i | \(0.104345\pi\) | |||||||
\(464\) | −2.12349 | − | 1.02262i | −0.0985805 | − | 0.0474739i | ||||
\(465\) | 6.94571 | + | 8.70964i | 0.322099 | + | 0.403900i | ||||
\(466\) | 48.6752 | 2.25483 | ||||||||
\(467\) | 9.56704 | 0.442710 | 0.221355 | − | 0.975193i | \(-0.428952\pi\) | ||||
0.221355 | + | 0.975193i | \(0.428952\pi\) | |||||||
\(468\) | −0.340798 | − | 0.427347i | −0.0157534 | − | 0.0197541i | ||||
\(469\) | 16.0172 | − | 7.71349i | 0.739607 | − | 0.356176i | ||||
\(470\) | 1.00000 | − | 4.38129i | 0.0461266 | − | 0.202094i | ||||
\(471\) | 3.66719 | + | 16.0670i | 0.168975 | + | 0.740330i | ||||
\(472\) | 7.68127 | 0.353559 | ||||||||
\(473\) | −27.7267 | − | 8.11857i | −1.27488 | − | 0.373292i | ||||
\(474\) | 12.9758 | 0.596000 | ||||||||
\(475\) | 1.26659 | + | 5.54931i | 0.0581153 | + | 0.254620i | ||||
\(476\) | 12.9487 | − | 56.7319i | 0.593502 | − | 2.60030i | ||||
\(477\) | −0.737291 | + | 0.355061i | −0.0337582 | + | 0.0162571i | ||||
\(478\) | 24.0981 | + | 30.2181i | 1.10222 | + | 1.38214i | ||||
\(479\) | −24.7851 | −1.13246 | −0.566229 | − | 0.824248i | \(-0.691598\pi\) | ||||
−0.566229 | + | 0.824248i | \(0.691598\pi\) | |||||||
\(480\) | 20.2634 | 0.924892 | ||||||||
\(481\) | 0.935649 | + | 1.17327i | 0.0426619 | + | 0.0534963i | ||||
\(482\) | 51.1969 | + | 24.6551i | 2.33196 | + | 1.12301i | ||||
\(483\) | 9.05041 | − | 11.3489i | 0.411808 | − | 0.516391i | ||||
\(484\) | −23.1054 | − | 11.1270i | −1.05024 | − | 0.505771i | ||||
\(485\) | 8.12067 | + | 35.5790i | 0.368741 | + | 1.61556i | ||||
\(486\) | 8.34667 | + | 10.4664i | 0.378613 | + | 0.474766i | ||||
\(487\) | −5.76487 | − | 25.2575i | −0.261231 | − | 1.14453i | −0.919918 | − | 0.392111i | \(-0.871745\pi\) |
0.658687 | − | 0.752417i | \(-0.271112\pi\) | |||||||
\(488\) | 4.81767 | − | 2.32007i | 0.218086 | − | 0.105024i | ||||
\(489\) | 22.7013 | − | 28.4666i | 1.02659 | − | 1.28730i | ||||
\(490\) | 30.9245 | − | 38.7781i | 1.39703 | − | 1.75182i | ||||
\(491\) | −5.49731 | + | 24.0853i | −0.248090 | + | 1.08695i | 0.685348 | + | 0.728216i | \(0.259650\pi\) |
−0.933438 | + | 0.358738i | \(0.883207\pi\) | |||||||
\(492\) | −17.2017 | + | 8.28391i | −0.775513 | + | 0.373467i | ||||
\(493\) | 11.8998 | + | 5.73063i | 0.535939 | + | 0.258095i | ||||
\(494\) | 0.876510 | − | 3.84024i | 0.0394361 | − | 0.172781i | ||||
\(495\) | 1.14138 | − | 5.00069i | 0.0513010 | − | 0.224764i | ||||
\(496\) | 2.58815 | + | 1.24639i | 0.116211 | + | 0.0559644i | ||||
\(497\) | −33.7168 | + | 16.2371i | −1.51240 | + | 0.728335i | ||||
\(498\) | −7.90246 | + | 34.6229i | −0.354118 | + | 1.55149i | ||||
\(499\) | −17.5082 | + | 21.9546i | −0.783775 | + | 0.982822i | 0.216205 | + | 0.976348i | \(0.430632\pi\) |
−0.999979 | + | 0.00647407i | \(0.997939\pi\) | |||||||
\(500\) | 22.8116 | − | 28.6049i | 1.02017 | − | 1.27925i | ||||
\(501\) | 13.8904 | − | 6.68925i | 0.620576 | − | 0.298854i | ||||
\(502\) | −0.970697 | − | 4.25290i | −0.0433243 | − | 0.189816i | ||||
\(503\) | −18.0262 | − | 22.6042i | −0.803751 | − | 1.00787i | −0.999629 | − | 0.0272431i | \(-0.991327\pi\) |
0.195878 | − | 0.980628i | \(-0.437244\pi\) | |||||||
\(504\) | 1.29656 | + | 5.68060i | 0.0577534 | + | 0.253034i | ||||
\(505\) | −16.6136 | − | 8.00067i | −0.739294 | − | 0.356025i | ||||
\(506\) | 13.5673 | − | 17.0129i | 0.603142 | − | 0.756316i | ||||
\(507\) | −18.0797 | − | 8.70673i | −0.802948 | − | 0.386679i | ||||
\(508\) | −27.8315 | − | 34.8996i | −1.23482 | − | 1.54842i | ||||
\(509\) | 3.65040 | 0.161801 | 0.0809006 | − | 0.996722i | \(-0.474220\pi\) | ||||
0.0809006 | + | 0.996722i | \(0.474220\pi\) | |||||||
\(510\) | −31.4034 | −1.39057 | ||||||||
\(511\) | −11.2714 | − | 14.1339i | −0.498619 | − | 0.625249i | ||||
\(512\) | 8.11356 | − | 3.90729i | 0.358572 | − | 0.172679i | ||||
\(513\) | −7.05496 | + | 30.9098i | −0.311484 | + | 1.36470i | ||||
\(514\) | 7.85839 | + | 34.4298i | 0.346619 | + | 1.51864i | ||||
\(515\) | 2.32842 | 0.102602 | ||||||||
\(516\) | −11.7721 | − | 28.7734i | −0.518238 | − | 1.26668i | ||||
\(517\) | 4.40581 | 0.193767 | ||||||||
\(518\) | −10.3470 | − | 45.3330i | −0.454620 | − | 1.99182i | ||||
\(519\) | −0.530499 | + | 2.32427i | −0.0232863 | + | 0.102024i | ||||
\(520\) | −1.30798 | + | 0.629889i | −0.0573587 | + | 0.0276225i | ||||
\(521\) | −8.49545 | − | 10.6530i | −0.372192 | − | 0.466715i | 0.560097 | − | 0.828427i | \(-0.310764\pi\) |
−0.932290 | + | 0.361712i | \(0.882192\pi\) | |||||||
\(522\) | −3.84415 | −0.168254 | ||||||||
\(523\) | 4.45904 | 0.194980 | 0.0974902 | − | 0.995236i | \(-0.468919\pi\) | ||||
0.0974902 | + | 0.995236i | \(0.468919\pi\) | |||||||
\(524\) | −19.9487 | − | 25.0149i | −0.871463 | − | 1.09278i | ||||
\(525\) | 5.94989 | + | 2.86531i | 0.259674 | + | 0.125053i | ||||
\(526\) | 20.5620 | − | 25.7839i | 0.896544 | − | 1.12423i | ||||
\(527\) | −14.5036 | − | 6.98459i | −0.631789 | − | 0.304253i | ||||
\(528\) | 1.22252 | + | 5.35621i | 0.0532034 | + | 0.233099i | ||||
\(529\) | −11.3279 | − | 14.2047i | −0.492517 | − | 0.617597i | ||||
\(530\) | 1.40581 | + | 6.15927i | 0.0610646 | + | 0.267542i | ||||
\(531\) | −1.70924 | + | 0.823128i | −0.0741748 | + | 0.0357207i | ||||
\(532\) | −45.9538 | + | 57.6243i | −1.99235 | + | 2.49833i | ||||
\(533\) | −0.773299 | + | 0.969686i | −0.0334953 | + | 0.0420018i | ||||
\(534\) | −3.88553 | + | 17.0236i | −0.168144 | + | 0.736685i | ||||
\(535\) | −28.1836 | + | 13.5725i | −1.21848 | + | 0.586790i | ||||
\(536\) | 8.88889 | + | 4.28066i | 0.383941 | + | 0.184896i | ||||
\(537\) | −5.95928 | + | 26.1093i | −0.257162 | + | 1.12670i | ||||
\(538\) | −7.53803 | + | 33.0263i | −0.324988 | + | 1.42386i | ||||
\(539\) | 43.8107 | + | 21.0981i | 1.88706 | + | 0.908761i | ||||
\(540\) | 30.6015 | − | 14.7369i | 1.31688 | − | 0.634175i | ||||
\(541\) | 3.74482 | − | 16.4071i | 0.161003 | − | 0.705398i | −0.828392 | − | 0.560148i | \(-0.810744\pi\) |
0.989395 | − | 0.145250i | \(-0.0463987\pi\) | |||||||
\(542\) | 32.4110 | − | 40.6420i | 1.39217 | − | 1.74573i | ||||
\(543\) | −11.7646 | + | 14.7523i | −0.504866 | + | 0.633082i | ||||
\(544\) | −26.3817 | + | 12.7047i | −1.13110 | + | 0.544711i | ||||
\(545\) | 3.98254 | + | 17.4487i | 0.170593 | + | 0.747418i | ||||
\(546\) | −2.84936 | − | 3.57299i | −0.121941 | − | 0.152910i | ||||
\(547\) | 1.76606 | + | 7.73762i | 0.0755113 | + | 0.330837i | 0.998548 | − | 0.0538761i | \(-0.0171576\pi\) |
−0.923036 | + | 0.384713i | \(0.874300\pi\) | |||||||
\(548\) | 24.5819 | + | 11.8380i | 1.05009 | + | 0.505694i | ||||
\(549\) | −0.823413 | + | 1.03253i | −0.0351424 | + | 0.0440672i | ||||
\(550\) | 8.91939 | + | 4.29535i | 0.380324 | + | 0.183154i | ||||
\(551\) | −10.4303 | − | 13.0791i | −0.444345 | − | 0.557190i | ||||
\(552\) | 8.05562 | 0.342870 | ||||||||
\(553\) | −15.7724 | −0.670711 | ||||||||
\(554\) | −29.1151 | − | 36.5091i | −1.23698 | − | 1.55112i | ||||
\(555\) | −13.6528 | + | 6.57484i | −0.579529 | + | 0.279086i | ||||
\(556\) | −5.71110 | + | 25.0220i | −0.242205 | + | 1.06117i | ||||
\(557\) | 3.22318 | + | 14.1217i | 0.136571 | + | 0.598355i | 0.996174 | + | 0.0873932i | \(0.0278537\pi\) |
−0.859603 | + | 0.510962i | \(0.829289\pi\) | |||||||
\(558\) | 4.68532 | 0.198345 | ||||||||
\(559\) | −1.50000 | − | 1.35225i | −0.0634432 | − | 0.0571941i | ||||
\(560\) | −6.81163 | −0.287844 | ||||||||
\(561\) | −6.85086 | − | 30.0156i | −0.289243 | − | 1.26726i | ||||
\(562\) | 9.41819 | − | 41.2638i | 0.397282 | − | 1.74061i | ||||
\(563\) | 6.05884 | − | 2.91779i | 0.255350 | − | 0.122970i | −0.301830 | − | 0.953362i | \(-0.597598\pi\) |
0.557180 | + | 0.830392i | \(0.311883\pi\) | |||||||
\(564\) | 2.95593 | + | 3.70662i | 0.124467 | + | 0.156077i | ||||
\(565\) | −18.6896 | −0.786279 | ||||||||
\(566\) | 29.3086 | 1.23193 | ||||||||
\(567\) | 18.3101 | + | 22.9602i | 0.768953 | + | 0.964237i | ||||
\(568\) | −18.7114 | − | 9.01093i | −0.785113 | − | 0.378090i | ||||
\(569\) | −26.3357 | + | 33.0239i | −1.10405 | + | 1.38444i | −0.188577 | + | 0.982058i | \(0.560387\pi\) |
−0.915474 | + | 0.402377i | \(0.868184\pi\) | |||||||
\(570\) | 35.8364 | + | 17.2579i | 1.50102 | + | 0.722854i | ||||
\(571\) | −3.62551 | − | 15.8844i | −0.151723 | − | 0.664742i | −0.992384 | − | 0.123181i | \(-0.960691\pi\) |
0.840661 | − | 0.541561i | \(-0.182167\pi\) | |||||||
\(572\) | −2.57942 | − | 3.23449i | −0.107851 | − | 0.135241i | ||||
\(573\) | −5.54370 | − | 24.2886i | −0.231592 | − | 1.01467i | ||||
\(574\) | 34.6247 | − | 16.6744i | 1.44521 | − | 0.695976i | ||||
\(575\) | −1.37047 | + | 1.71851i | −0.0571525 | + | 0.0716670i | ||||
\(576\) | 4.73155 | − | 5.93317i | 0.197148 | − | 0.247215i | ||||
\(577\) | 9.89858 | − | 43.3685i | 0.412083 | − | 1.80545i | −0.162155 | − | 0.986765i | \(-0.551844\pi\) |
0.574238 | − | 0.818689i | \(-0.305299\pi\) | |||||||
\(578\) | 6.46950 | − | 3.11555i | 0.269096 | − | 0.129590i | ||||
\(579\) | 33.3255 | + | 16.0487i | 1.38496 | + | 0.666962i | ||||
\(580\) | −3.98792 | + | 17.4722i | −0.165589 | + | 0.725494i | ||||
\(581\) | 9.60560 | − | 42.0849i | 0.398508 | − | 1.74598i | ||||
\(582\) | −57.4406 | − | 27.6619i | −2.38099 | − | 1.14662i | ||||
\(583\) | −5.58038 | + | 2.68737i | −0.231116 | + | 0.111299i | ||||
\(584\) | 2.23245 | − | 9.78099i | 0.0923793 | − | 0.404740i | ||||
\(585\) | 0.223553 | − | 0.280327i | 0.00924280 | − | 0.0115901i | ||||
\(586\) | −37.1673 | + | 46.6064i | −1.53537 | + | 1.92529i | ||||
\(587\) | 27.4034 | − | 13.1968i | 1.13106 | − | 0.544690i | 0.227768 | − | 0.973715i | \(-0.426857\pi\) |
0.903292 | + | 0.429026i | \(0.141143\pi\) | |||||||
\(588\) | 11.6434 | + | 51.0131i | 0.480166 | + | 2.10374i | ||||
\(589\) | 12.7126 | + | 15.9411i | 0.523813 | + | 0.656841i | ||||
\(590\) | 3.25906 | + | 14.2789i | 0.134173 | + | 0.587852i | ||||
\(591\) | 22.2126 | + | 10.6970i | 0.913704 | + | 0.440017i | ||||
\(592\) | −2.43631 | + | 3.05504i | −0.100132 | + | 0.125561i | ||||
\(593\) | 2.05400 | + | 0.989154i | 0.0843476 | + | 0.0406197i | 0.475582 | − | 0.879671i | \(-0.342238\pi\) |
−0.391234 | + | 0.920291i | \(0.627952\pi\) | |||||||
\(594\) | 34.3805 | + | 43.1117i | 1.41065 | + | 1.76890i | ||||
\(595\) | 38.1715 | 1.56488 | ||||||||
\(596\) | −19.0097 | −0.778667 | ||||||||
\(597\) | −8.49127 | − | 10.6477i | −0.347525 | − | 0.435782i | ||||
\(598\) | 1.37047 | − | 0.659983i | 0.0560427 | − | 0.0269887i | ||||
\(599\) | 4.87853 | − | 21.3743i | 0.199332 | − | 0.873328i | −0.772004 | − | 0.635617i | \(-0.780746\pi\) |
0.971336 | − | 0.237711i | \(-0.0763972\pi\) | |||||||
\(600\) | 0.815511 | + | 3.57299i | 0.0332931 | + | 0.145867i | ||||
\(601\) | 8.27173 | 0.337411 | 0.168706 | − | 0.985666i | \(-0.446041\pi\) | ||||
0.168706 | + | 0.985666i | \(0.446041\pi\) | |||||||
\(602\) | 23.6957 | + | 57.9170i | 0.965763 | + | 2.36052i | ||||
\(603\) | −2.43668 | −0.0992293 | ||||||||
\(604\) | 3.80194 | + | 16.6574i | 0.154699 | + | 0.677779i | ||||
\(605\) | 3.74333 | − | 16.4006i | 0.152188 | − | 0.666780i | ||||
\(606\) | 29.0236 | − | 13.9770i | 1.17900 | − | 0.567777i | ||||
\(607\) | 7.42543 | + | 9.31119i | 0.301389 | + | 0.377930i | 0.909346 | − | 0.416040i | \(-0.136582\pi\) |
−0.607958 | + | 0.793970i | \(0.708011\pi\) | |||||||
\(608\) | 37.0877 | 1.50410 | ||||||||
\(609\) | −19.4088 | −0.786484 | ||||||||
\(610\) | 6.35690 | + | 7.97130i | 0.257383 | + | 0.322748i | ||||
\(611\) | 0.277479 | + | 0.133627i | 0.0112256 | + | 0.00540596i | ||||
\(612\) | −4.97285 | + | 6.23576i | −0.201016 | + | 0.252066i | ||||
\(613\) | 1.70948 | + | 0.823242i | 0.0690452 | + | 0.0332504i | 0.468088 | − | 0.883682i | \(-0.344943\pi\) |
−0.399042 | + | 0.916932i | \(0.630657\pi\) | |||||||
\(614\) | −3.54138 | − | 15.5158i | −0.142919 | − | 0.626168i | ||||
\(615\) | −7.80864 | − | 9.79173i | −0.314875 | − | 0.394841i | ||||
\(616\) | 9.81336 | + | 42.9951i | 0.395391 | + | 1.73232i | ||||
\(617\) | −43.7323 | + | 21.0604i | −1.76059 | + | 0.847858i | −0.787889 | + | 0.615818i | \(0.788826\pi\) |
−0.972706 | + | 0.232040i | \(0.925460\pi\) | |||||||
\(618\) | −2.53617 | + | 3.18026i | −0.102020 | + | 0.127929i | ||||
\(619\) | 10.0420 | − | 12.5923i | 0.403624 | − | 0.506129i | −0.537930 | − | 0.842989i | \(-0.680794\pi\) |
0.941554 | + | 0.336861i | \(0.109365\pi\) | |||||||
\(620\) | 4.86054 | − | 21.2954i | 0.195204 | − | 0.855245i | ||||
\(621\) | −11.0308 | + | 5.31215i | −0.442651 | + | 0.213169i | ||||
\(622\) | −38.2972 | − | 18.4429i | −1.53558 | − | 0.739494i | ||||
\(623\) | 4.72295 | − | 20.6926i | 0.189221 | − | 0.829031i | ||||
\(624\) | −0.0854576 | + | 0.374414i | −0.00342104 | + | 0.0149886i | ||||
\(625\) | 17.1184 | + | 8.24379i | 0.684736 | + | 0.329752i | ||||
\(626\) | −37.6715 | + | 18.1416i | −1.50566 | + | 0.725086i | ||||
\(627\) | −8.67725 | + | 38.0175i | −0.346536 | + | 1.51827i | ||||
\(628\) | 20.1474 | − | 25.2641i | 0.803969 | − | 1.00815i | ||||
\(629\) | 13.6528 | − | 17.1201i | 0.544372 | − | 0.682622i | ||||
\(630\) | −10.0097 | + | 4.82041i | −0.398796 | + | 0.192050i | ||||
\(631\) | 6.84362 | + | 29.9838i | 0.272440 | + | 1.19364i | 0.907123 | + | 0.420866i | \(0.138274\pi\) |
−0.634683 | + | 0.772773i | \(0.718869\pi\) | |||||||
\(632\) | −5.45742 | − | 6.84339i | −0.217084 | − | 0.272215i | ||||
\(633\) | 2.97099 | + | 13.0168i | 0.118086 | + | 0.517370i | ||||
\(634\) | −28.9720 | − | 13.9522i | −1.15062 | − | 0.554111i | ||||
\(635\) | 18.2567 | − | 22.8931i | 0.724494 | − | 0.908486i | ||||
\(636\) | −6.00484 | − | 2.89178i | −0.238108 | − | 0.114667i | ||||
\(637\) | 2.11931 | + | 2.65753i | 0.0839701 | + | 0.105295i | ||||
\(638\) | −29.0954 | −1.15190 | ||||||||
\(639\) | 5.12929 | 0.202912 | ||||||||
\(640\) | −20.2784 | − | 25.4284i | −0.801576 | − | 1.00514i | ||||
\(641\) | 18.8436 | − | 9.07461i | 0.744278 | − | 0.358425i | −0.0230038 | − | 0.999735i | \(-0.507323\pi\) |
0.767282 | + | 0.641310i | \(0.221609\pi\) | |||||||
\(642\) | 12.1603 | − | 53.2779i | 0.479930 | − | 2.10271i | ||||
\(643\) | −7.03146 | − | 30.8068i | −0.277294 | − | 1.21490i | −0.901200 | − | 0.433404i | \(-0.857312\pi\) |
0.623906 | − | 0.781499i | \(-0.285545\pi\) | |||||||
\(644\) | −28.4620 | −1.12156 | ||||||||
\(645\) | 16.6829 | − | 11.7285i | 0.656889 | − | 0.461810i | ||||
\(646\) | −57.4771 | −2.26141 | ||||||||
\(647\) | 8.21744 | + | 36.0030i | 0.323061 | + | 1.41542i | 0.832075 | + | 0.554664i | \(0.187153\pi\) |
−0.509014 | + | 0.860758i | \(0.669990\pi\) | |||||||
\(648\) | −3.62655 | + | 15.8889i | −0.142464 | + | 0.624176i | ||||
\(649\) | −12.9368 | + | 6.23006i | −0.507816 | + | 0.244551i | ||||
\(650\) | 0.431468 | + | 0.541044i | 0.0169236 | + | 0.0212215i | ||||
\(651\) | 23.6558 | 0.927143 | ||||||||
\(652\) | −71.3919 | −2.79592 | ||||||||
\(653\) | −3.11679 | − | 3.90832i | −0.121969 | − | 0.152945i | 0.717098 | − | 0.696972i | \(-0.245470\pi\) |
−0.839067 | + | 0.544028i | \(0.816899\pi\) | |||||||
\(654\) | −28.1700 | − | 13.5660i | −1.10153 | − | 0.530471i | ||||
\(655\) | 13.0858 | − | 16.4090i | 0.511303 | − | 0.641153i | ||||
\(656\) | −2.90970 | − | 1.40124i | −0.113605 | − | 0.0547091i | ||||
\(657\) | 0.551369 | + | 2.41570i | 0.0215109 | + | 0.0942456i | ||||
\(658\) | −5.94989 | − | 7.46092i | −0.231951 | − | 0.290857i | ||||
\(659\) | 0.945469 | + | 4.14237i | 0.0368302 | + | 0.161364i | 0.989999 | − | 0.141076i | \(-0.0450561\pi\) |
−0.953169 | + | 0.302440i | \(0.902199\pi\) | |||||||
\(660\) | 37.6383 | − | 18.1257i | 1.46507 | − | 0.705540i | ||||
\(661\) | −27.5221 | + | 34.5116i | −1.07048 | + | 1.34234i | −0.134258 | + | 0.990946i | \(0.542865\pi\) |
−0.936226 | + | 0.351398i | \(0.885706\pi\) | |||||||
\(662\) | −27.2724 | + | 34.1985i | −1.05997 | + | 1.32916i | ||||
\(663\) | 0.478894 | − | 2.09817i | 0.0185987 | − | 0.0814862i | ||||
\(664\) | 21.5836 | − | 10.3941i | 0.837606 | − | 0.403370i | ||||
\(665\) | −43.5599 | − | 20.9773i | −1.68918 | − | 0.813466i | ||||
\(666\) | −1.41819 | + | 6.21350i | −0.0549538 | + | 0.240768i | ||||
\(667\) | 1.43751 | − | 6.29814i | 0.0556606 | − | 0.243865i | ||||
\(668\) | −27.2359 | − | 13.1161i | −1.05379 | − | 0.507477i | ||||
\(669\) | −10.6528 | + | 5.13011i | −0.411861 | + | 0.198342i | ||||
\(670\) | −4.18598 | + | 18.3400i | −0.161719 | + | 0.708535i | ||||
\(671\) | −6.23221 | + | 7.81494i | −0.240592 | + | 0.301693i | ||||
\(672\) | 26.8282 | − | 33.6415i | 1.03492 | − | 1.29775i | ||||
\(673\) | 10.7497 | − | 5.17677i | 0.414369 | − | 0.199550i | −0.215071 | − | 0.976598i | \(-0.568998\pi\) |
0.629441 | + | 0.777049i | \(0.283284\pi\) | |||||||
\(674\) | −3.83393 | − | 16.7975i | −0.147677 | − | 0.647017i | ||||
\(675\) | −3.47285 | − | 4.35482i | −0.133670 | − | 0.167617i | ||||
\(676\) | 8.75547 | + | 38.3602i | 0.336749 | + | 1.47539i | ||||
\(677\) | 32.4180 | + | 15.6117i | 1.24592 | + | 0.600005i | 0.936416 | − | 0.350892i | \(-0.114122\pi\) |
0.309507 | + | 0.950897i | \(0.399836\pi\) | |||||||
\(678\) | 20.3572 | − | 25.5271i | 0.781813 | − | 0.980363i | ||||
\(679\) | 69.8202 | + | 33.6236i | 2.67945 | + | 1.29036i | ||||
\(680\) | 13.2078 | + | 16.5620i | 0.506494 | + | 0.635124i | ||||
\(681\) | −24.1226 | −0.924380 | ||||||||
\(682\) | 35.4620 | 1.35791 | ||||||||
\(683\) | 17.6645 | + | 22.1506i | 0.675914 | + | 0.847569i | 0.994971 | − | 0.100167i | \(-0.0319376\pi\) |
−0.319057 | + | 0.947735i | \(0.603366\pi\) | |||||||
\(684\) | 9.10172 | − | 4.38316i | 0.348013 | − | 0.167594i | ||||
\(685\) | −3.98254 | + | 17.4487i | −0.152165 | + | 0.666679i | ||||
\(686\) | −8.57218 | − | 37.5572i | −0.327287 | − | 1.43394i | ||||
\(687\) | 36.7520 | 1.40217 | ||||||||
\(688\) | 2.56369 | − | 4.59140i | 0.0977397 | − | 0.175046i | ||||
\(689\) | −0.432960 | −0.0164945 | ||||||||
\(690\) | 3.41789 | + | 14.9748i | 0.130117 | + | 0.570080i | ||||
\(691\) | 1.45928 | − | 6.39352i | 0.0555136 | − | 0.243221i | −0.939557 | − | 0.342393i | \(-0.888762\pi\) |
0.995070 | + | 0.0991725i | \(0.0316196\pi\) | |||||||
\(692\) | 4.21164 | − | 2.02822i | 0.160102 | − | 0.0771012i | ||||
\(693\) | −6.79105 | − | 8.51571i | −0.257971 | − | 0.323485i | ||||
\(694\) | −12.4179 | −0.471377 | ||||||||
\(695\) | −16.8358 | −0.638618 | ||||||||
\(696\) | −6.71565 | − | 8.42116i | −0.254556 | − | 0.319203i | ||||
\(697\) | 16.3056 | + | 7.85236i | 0.617618 | + | 0.297429i | ||||
\(698\) | 3.60992 | − | 4.52669i | 0.136637 | − | 0.171338i | ||||
\(699\) | −30.3485 | − | 14.6150i | −1.14788 | − | 0.552792i | ||||
\(700\) | −2.88135 | − | 12.6240i | −0.108905 | − | 0.477144i | ||||
\(701\) | 22.3869 | + | 28.0722i | 0.845540 | + | 1.06027i | 0.997414 | + | 0.0718739i | \(0.0228979\pi\) |
−0.151874 | + | 0.988400i | \(0.548531\pi\) | |||||||
\(702\) | 0.857724 | + | 3.75793i | 0.0323727 | + | 0.141834i | ||||
\(703\) | −24.9885 | + | 12.0338i | −0.942457 | + | 0.453864i | ||||
\(704\) | 35.8119 | − | 44.9067i | 1.34971 | − | 1.69249i | ||||
\(705\) | −1.93900 | + | 2.43143i | −0.0730270 | + | 0.0915730i | ||||
\(706\) | 11.9879 | − | 52.5225i | 0.451171 | − | 1.97671i | ||||
\(707\) | −35.2787 | + | 16.9893i | −1.32679 | + | 0.638950i | ||||
\(708\) | −13.9209 | − | 6.70394i | −0.523179 | − | 0.251950i | ||||
\(709\) | 9.32185 | − | 40.8417i | 0.350089 | − | 1.53384i | −0.426883 | − | 0.904307i | \(-0.640388\pi\) |
0.776972 | − | 0.629535i | \(-0.216754\pi\) | |||||||
\(710\) | 8.81163 | − | 38.6063i | 0.330694 | − | 1.44887i | ||||
\(711\) | 1.94773 | + | 0.937977i | 0.0730456 | + | 0.0351769i | ||||
\(712\) | 10.6124 | − | 5.11065i | 0.397715 | − | 0.191530i | ||||
\(713\) | −1.75206 | + | 7.67628i | −0.0656152 | + | 0.287479i | ||||
\(714\) | −41.5773 | + | 52.1363i | −1.55599 | + | 1.95115i | ||||
\(715\) | 1.69202 | − | 2.12173i | 0.0632780 | − | 0.0793481i | ||||
\(716\) | 47.3107 | − | 22.7836i | 1.76808 | − | 0.851465i | ||||
\(717\) | −5.95175 | − | 26.0763i | −0.222272 | − | 0.973837i | ||||
\(718\) | 3.81282 | + | 4.78113i | 0.142293 | + | 0.178430i | ||||
\(719\) | −7.37076 | − | 32.2934i | −0.274883 | − | 1.20434i | −0.904171 | − | 0.427170i | \(-0.859511\pi\) |
0.629288 | − | 0.777172i | \(-0.283346\pi\) | |||||||
\(720\) | 0.841166 | + | 0.405084i | 0.0313484 | + | 0.0150966i | ||||
\(721\) | 3.08277 | − | 3.86567i | 0.114808 | − | 0.143965i | ||||
\(722\) | 27.1259 | + | 13.0632i | 1.00952 | + | 0.486161i | ||||
\(723\) | −24.5179 | − | 30.7445i | −0.911830 | − | 1.14340i | ||||
\(724\) | 36.9976 | 1.37501 | ||||||||
\(725\) | 2.93900 | 0.109152 | ||||||||
\(726\) | 18.3233 | + | 22.9767i | 0.680043 | + | 0.852747i | ||||
\(727\) | 6.27048 | − | 3.01970i | 0.232559 | − | 0.111995i | −0.313975 | − | 0.949431i | \(-0.601661\pi\) |
0.546535 | + | 0.837437i | \(0.315947\pi\) | |||||||
\(728\) | −0.685981 | + | 3.00548i | −0.0254241 | + | 0.111390i | ||||
\(729\) | −6.67755 | − | 29.2562i | −0.247317 | − | 1.08356i | ||||
\(730\) | 19.1293 | 0.708007 | ||||||||
\(731\) | −14.3666 | + | 25.7297i | −0.531367 | + | 0.951646i | ||||
\(732\) | −10.7560 | −0.397553 | ||||||||
\(733\) | −8.59126 | − | 37.6408i | −0.317325 | − | 1.39029i | −0.842223 | − | 0.539129i | \(-0.818754\pi\) |
0.524898 | − | 0.851165i | \(-0.324103\pi\) | |||||||
\(734\) | −9.72617 | + | 42.6131i | −0.358999 | + | 1.57288i | ||||
\(735\) | −30.9245 | + | 14.8925i | −1.14067 | + | 0.549317i | ||||
\(736\) | 8.92961 | + | 11.1974i | 0.329150 | + | 0.412741i | ||||
\(737\) | −18.4426 | −0.679344 | ||||||||
\(738\) | −5.26742 | −0.193896 | ||||||||
\(739\) | 21.4103 | + | 26.8477i | 0.787590 | + | 0.987607i | 0.999946 | + | 0.0104144i | \(0.00331507\pi\) |
−0.212356 | + | 0.977192i | \(0.568113\pi\) | |||||||
\(740\) | 26.7700 | + | 12.8918i | 0.984085 | + | 0.473910i | ||||
\(741\) | −1.69955 | + | 2.13117i | −0.0624347 | + | 0.0782906i | ||||
\(742\) | 12.0869 | + | 5.82077i | 0.443726 | + | 0.213687i | ||||
\(743\) | 2.75475 | + | 12.0693i | 0.101062 | + | 0.442781i | 0.999989 | + | 0.00468306i | \(0.00149067\pi\) |
−0.898927 | + | 0.438098i | \(0.855652\pi\) | |||||||
\(744\) | 8.18515 | + | 10.2639i | 0.300082 | + | 0.376291i | ||||
\(745\) | −2.77479 | − | 12.1572i | −0.101660 | − | 0.445404i | ||||
\(746\) | −36.2238 | + | 17.4445i | −1.32625 | + | 0.638687i | ||||
\(747\) | −3.68896 | + | 4.62582i | −0.134972 | + | 0.169250i | ||||
\(748\) | −37.6383 | + | 47.1970i | −1.37619 | + | 1.72569i | ||||
\(749\) | −14.7811 | + | 64.7603i | −0.540091 | + | 2.36629i | ||||
\(750\) | −37.7754 | + | 18.1917i | −1.37936 | + | 0.664266i | ||||
\(751\) | 16.5978 | + | 7.99310i | 0.605664 | + | 0.291672i | 0.711472 | − | 0.702714i | \(-0.248029\pi\) |
−0.105809 | + | 0.994387i | \(0.533743\pi\) | |||||||
\(752\) | −0.178448 | + | 0.781831i | −0.00650733 | + | 0.0285105i | ||||
\(753\) | −0.671743 | + | 2.94310i | −0.0244797 | + | 0.107252i | ||||
\(754\) | −1.83244 | − | 0.882455i | −0.0667334 | − | 0.0321371i | ||||
\(755\) | −10.0978 | + | 4.86286i | −0.367498 | + | 0.176978i | ||||
\(756\) | 16.0492 | − | 70.3162i | 0.583704 | − | 2.55738i | ||||
\(757\) | 0.945870 | − | 1.18608i | 0.0343782 | − | 0.0431089i | −0.764345 | − | 0.644807i | \(-0.776938\pi\) |
0.798723 | + | 0.601698i | \(0.205509\pi\) | |||||||
\(758\) | −6.77897 | + | 8.50056i | −0.246223 | + | 0.308754i | ||||
\(759\) | −13.5673 | + | 6.53368i | −0.492463 | + | 0.237158i | ||||
\(760\) | −5.97046 | − | 26.1583i | −0.216571 | − | 0.948861i | ||||
\(761\) | 3.67174 | + | 4.60422i | 0.133101 | + | 0.166903i | 0.843915 | − | 0.536476i | \(-0.180245\pi\) |
−0.710815 | + | 0.703379i | \(0.751674\pi\) | |||||||
\(762\) | 11.3828 | + | 49.8715i | 0.412357 | + | 1.80665i | ||||
\(763\) | 34.2412 | + | 16.4897i | 1.23962 | + | 0.596968i | ||||
\(764\) | −30.4569 | + | 38.1917i | −1.10189 | + | 1.38173i | ||||
\(765\) | −4.71379 | − | 2.27004i | −0.170427 | − | 0.0820736i | ||||
\(766\) | 6.05980 | + | 7.59875i | 0.218950 | + | 0.274554i | ||||
\(767\) | −1.00372 | −0.0362423 | ||||||||
\(768\) | 16.2755 | 0.587290 | ||||||||
\(769\) | 6.45175 | + | 8.09023i | 0.232656 | + | 0.291741i | 0.884431 | − | 0.466671i | \(-0.154547\pi\) |
−0.651775 | + | 0.758412i | \(0.725975\pi\) | |||||||
\(770\) | −75.7609 | + | 36.4845i | −2.73023 | + | 1.31481i | ||||
\(771\) | 5.43817 | − | 23.8262i | 0.195851 | − | 0.858079i | ||||
\(772\) | −16.1386 | − | 70.7076i | −0.580839 | − | 2.54482i | ||||
\(773\) | 21.6601 | 0.779059 | 0.389530 | − | 0.921014i | \(-0.372638\pi\) | ||||
0.389530 | + | 0.921014i | \(0.372638\pi\) | |||||||
\(774\) | 0.518122 | − | 8.56133i | 0.0186235 | − | 0.307730i | ||||
\(775\) | −3.58211 | −0.128673 | ||||||||
\(776\) | 9.56979 | + | 41.9280i | 0.343535 | + | 1.50513i | ||||
\(777\) | −7.16033 | + | 31.3714i | −0.256875 | + | 1.12544i | ||||
\(778\) | 60.1250 | − | 28.9547i | 2.15559 | − | 1.03808i | ||||
\(779\) | −14.2920 | − | 17.9216i | −0.512064 | − | 0.642109i | ||||
\(780\) | 2.92021 | 0.104560 | ||||||||
\(781\) | 38.8224 | 1.38917 | ||||||||
\(782\) | −13.8388 | − | 17.3533i | −0.494874 | − | 0.620552i | ||||
\(783\) | 14.7491 | + | 7.10281i | 0.527091 | + | 0.253834i | ||||
\(784\) | −5.51842 | + | 6.91988i | −0.197086 | + | 0.247138i | ||||
\(785\) | 19.0978 | + | 9.19703i | 0.681631 | + | 0.328256i | ||||
\(786\) | 8.15883 | + | 35.7462i | 0.291016 | + | 1.27502i | ||||
\(787\) | −20.7024 | − | 25.9600i | −0.737960 | − | 0.925372i | 0.261244 | − | 0.965273i | \(-0.415867\pi\) |
−0.999204 | + | 0.0399004i | \(0.987296\pi\) | |||||||
\(788\) | −10.7569 | − | 47.1291i | −0.383199 | − | 1.67890i | ||||
\(789\) | −20.5620 | + | 9.90212i | −0.732025 | + | 0.352525i | ||||
\(790\) | 10.4058 | − | 13.0485i | 0.370222 | − | 0.464244i | ||||
\(791\) | −24.7446 | + | 31.0287i | −0.879816 | + | 1.10325i | ||||
\(792\) | 1.34505 | − | 5.89305i | 0.0477943 | − | 0.209401i | ||||
\(793\) | −0.629531 | + | 0.303166i | −0.0223553 | + | 0.0107657i | ||||
\(794\) | 16.8034 | + | 8.09211i | 0.596331 | + | 0.287178i | ||||
\(795\) | 0.972853 | − | 4.26235i | 0.0345035 | − | 0.151170i | ||||
\(796\) | −5.94212 | + | 26.0341i | −0.210613 | + | 0.922755i | ||||
\(797\) | 9.10872 | + | 4.38653i | 0.322647 | + | 0.155379i | 0.588195 | − | 0.808719i | \(-0.299839\pi\) |
−0.265548 | + | 0.964098i | \(0.585553\pi\) | |||||||
\(798\) | 76.0982 | − | 36.6470i | 2.69385 | − | 1.29729i | ||||
\(799\) | 1.00000 | − | 4.38129i | 0.0353775 | − | 0.154999i | ||||
\(800\) | −4.06249 | + | 5.09420i | −0.143631 | + | 0.180107i | ||||
\(801\) | −1.81381 | + | 2.27445i | −0.0640880 | + | 0.0803638i | ||||
\(802\) | −1.89493 | + | 0.912549i | −0.0669122 | + | 0.0322232i | ||||
\(803\) | 4.17318 | + | 18.2839i | 0.147268 | + | 0.645224i | ||||
\(804\) | −12.3735 | − | 15.5158i | −0.436378 | − | 0.547201i | ||||
\(805\) | −4.15452 | − | 18.2021i | −0.146428 | − | 0.641541i | ||||
\(806\) | 2.23341 | + | 1.07555i | 0.0786684 | + | 0.0378847i | ||||
\(807\) | 14.6163 | − | 18.3282i | 0.514516 | − | 0.645183i | ||||
\(808\) | −19.5782 | − | 9.42837i | −0.688759 | − | 0.331689i | ||||
\(809\) | −23.3210 | − | 29.2436i | −0.819923 | − | 1.02815i | −0.999017 | − | 0.0443194i | \(-0.985888\pi\) |
0.179094 | − | 0.983832i | \(-0.442683\pi\) | |||||||
\(810\) | −31.0750 | −1.09186 | ||||||||
\(811\) | −53.9245 | −1.89355 | −0.946773 | − | 0.321902i | \(-0.895678\pi\) | ||||
−0.946773 | + | 0.321902i | \(0.895678\pi\) | |||||||
\(812\) | 23.7277 | + | 29.7535i | 0.832678 | + | 1.04414i | ||||
\(813\) | −32.4110 | + | 15.6083i | −1.13670 | + | 0.547407i | ||||
\(814\) | −10.7339 | + | 47.0285i | −0.376224 | + | 1.64835i | ||||
\(815\) | −10.4209 | − | 45.6569i | −0.365027 | − | 1.59929i | ||||
\(816\) | 5.60388 | 0.196175 | ||||||||
\(817\) | 30.5344 | − | 21.4665i | 1.06826 | − | 0.751017i | ||||
\(818\) | −7.69202 | −0.268945 | ||||||||
\(819\) | −0.169423 | − | 0.742292i | −0.00592013 | − | 0.0259378i | ||||
\(820\) | −5.46442 | + | 23.9412i | −0.190826 | + | 0.836062i | ||||
\(821\) | 41.4146 | − | 19.9442i | 1.44538 | − | 0.696058i | 0.463593 | − | 0.886048i | \(-0.346560\pi\) |
0.981786 | + | 0.189990i | \(0.0608455\pi\) | |||||||
\(822\) | −19.4943 | − | 24.4450i | −0.679940 | − | 0.852618i | ||||
\(823\) | 17.6420 | 0.614963 | 0.307481 | − | 0.951554i | \(-0.400514\pi\) | ||||
0.307481 | + | 0.951554i | \(0.400514\pi\) | |||||||
\(824\) | 2.74392 | 0.0955891 | ||||||||
\(825\) | −4.27144 | − | 5.35621i | −0.148712 | − | 0.186479i | ||||
\(826\) | 28.0209 | + | 13.4941i | 0.974971 | + | 0.469521i | ||||
\(827\) | 25.2611 | − | 31.6765i | 0.878416 | − | 1.10150i | −0.115711 | − | 0.993283i | \(-0.536915\pi\) |
0.994127 | − | 0.108216i | \(-0.0345138\pi\) | |||||||
\(828\) | 3.51477 | + | 1.69262i | 0.122147 | + | 0.0588228i | ||||
\(829\) | 10.3216 | + | 45.2217i | 0.358482 | + | 1.57061i | 0.756976 | + | 0.653443i | \(0.226676\pi\) |
−0.398494 | + | 0.917171i | \(0.630467\pi\) | |||||||
\(830\) | 28.4795 | + | 35.7121i | 0.988537 | + | 1.23959i | ||||
\(831\) | 7.19083 | + | 31.5051i | 0.249447 | + | 1.09290i | ||||
\(832\) | 3.61745 | − | 1.74207i | 0.125412 | − | 0.0603955i | ||||
\(833\) | 30.9245 | − | 38.7781i | 1.07147 | − | 1.34358i | ||||
\(834\) | 18.3379 | − | 22.9951i | 0.634991 | − | 0.796254i | ||||
\(835\) | 4.41252 | − | 19.3325i | 0.152701 | − | 0.669029i | ||||
\(836\) | 68.8887 | − | 33.1751i | 2.38257 | − | 1.14738i | ||||
\(837\) | −17.9765 | − | 8.65703i | −0.621359 | − | 0.299231i | ||||
\(838\) | 1.57606 | − | 6.90519i | 0.0544442 | − | 0.238536i | ||||
\(839\) | 1.01411 | − | 4.44309i | 0.0350108 | − | 0.153392i | −0.954401 | − | 0.298528i | \(-0.903505\pi\) |
0.989412 | + | 0.145135i | \(0.0463617\pi\) | |||||||
\(840\) | −28.0465 | − | 13.5065i | −0.967697 | − | 0.466018i | ||||
\(841\) | 18.3458 | − | 8.83486i | 0.632613 | − | 0.304650i | ||||
\(842\) | 16.2322 | − | 71.1180i | 0.559399 | − | 2.45089i | ||||
\(843\) | −18.2619 | + | 22.8997i | −0.628973 | + | 0.788707i | ||||
\(844\) | 16.3225 | − | 20.4678i | 0.561844 | − | 0.704530i | ||||
\(845\) | −23.2543 | + | 11.1987i | −0.799971 | + | 0.385246i | ||||
\(846\) | 0.291053 | + | 1.27518i | 0.0100066 | + | 0.0438418i | ||||
\(847\) | −22.2724 | − | 27.9287i | −0.765289 | − | 0.959642i | ||||
\(848\) | −0.250864 | − | 1.09911i | −0.00861472 | − | 0.0377436i | ||||
\(849\) | −18.2736 | − | 8.80010i | −0.627148 | − | 0.302019i | ||||
\(850\) | 6.29590 | − | 7.89481i | 0.215947 | − | 0.270790i | ||||
\(851\) | −9.64968 | − | 4.64704i | −0.330787 | − | 0.159298i | ||||
\(852\) | 26.0465 | + | 32.6613i | 0.892339 | + | 1.11896i | ||||
\(853\) | −52.9197 | −1.81194 | −0.905969 | − | 0.423345i | \(-0.860856\pi\) | ||||
−0.905969 | + | 0.423345i | \(0.860856\pi\) | |||||||
\(854\) | 21.6504 | 0.740861 | ||||||||
\(855\) | 4.13169 | + | 5.18097i | 0.141301 | + | 0.177185i | ||||
\(856\) | −33.2129 | + | 15.9945i | −1.13519 | + | 0.546680i | ||||
\(857\) | −3.84535 | + | 16.8476i | −0.131355 | + | 0.575502i | 0.865818 | + | 0.500359i | \(0.166799\pi\) |
−0.997173 | + | 0.0751432i | \(0.976059\pi\) | |||||||
\(858\) | 1.05496 | + | 4.62207i | 0.0360157 | + | 0.157795i | ||||
\(859\) | −14.8616 | −0.507072 | −0.253536 | − | 0.967326i | \(-0.581594\pi\) | ||||
−0.253536 | + | 0.967326i | \(0.581594\pi\) | |||||||
\(860\) | −38.3749 | − | 11.2365i | −1.30857 | − | 0.383160i | ||||
\(861\) | −26.5948 | −0.906348 | ||||||||
\(862\) | 17.9574 | + | 78.6766i | 0.611632 | + | 2.67974i | ||||
\(863\) | −7.38178 | + | 32.3417i | −0.251279 | + | 1.10092i | 0.679019 | + | 0.734120i | \(0.262405\pi\) |
−0.930298 | + | 0.366804i | \(0.880452\pi\) | |||||||
\(864\) | −32.6987 | + | 15.7468i | −1.11243 | + | 0.535718i | ||||
\(865\) | 1.91185 | + | 2.39739i | 0.0650050 | + | 0.0815137i | ||||
\(866\) | −59.6902 | −2.02836 | ||||||||
\(867\) | −4.96913 | −0.168761 | ||||||||
\(868\) | −28.9197 | − | 36.2641i | −0.981598 | − | 1.23088i | ||||
\(869\) | 14.7419 | + | 7.09932i | 0.500085 | + | 0.240828i | ||||
\(870\) | 12.8049 | − | 16.0569i | 0.434128 | − | 0.544379i | ||||
\(871\) | −1.16152 | − | 0.559360i | −0.0393567 | − | 0.0189532i | ||||
\(872\) | 4.69322 | + | 20.5623i | 0.158932 | + | 0.696328i | ||||
\(873\) | −6.62250 | − | 8.30435i | −0.224138 | − | 0.281060i | ||||
\(874\) | 6.25571 | + | 27.4081i | 0.211603 | + | 0.927091i | ||||
\(875\) | 45.9168 | − | 22.1123i | 1.55227 | − | 0.747534i | ||||
\(876\) | −12.5824 | + | 15.7778i | −0.425120 | + | 0.533084i | ||||
\(877\) | 13.7744 | − | 17.2726i | 0.465129 | − | 0.583254i | −0.492842 | − | 0.870119i | \(-0.664042\pi\) |
0.957971 | + | 0.286865i | \(0.0926133\pi\) | |||||||
\(878\) | 20.0003 | − | 87.6270i | 0.674977 | − | 2.95727i | ||||
\(879\) | 37.1673 | − | 17.8988i | 1.25362 | − | 0.603713i | ||||
\(880\) | 6.36658 | + | 3.06599i | 0.214618 | + | 0.103354i | ||||
\(881\) | −8.01291 | + | 35.1069i | −0.269962 | + | 1.18278i | 0.640095 | + | 0.768296i | \(0.278895\pi\) |
−0.910057 | + | 0.414484i | \(0.863962\pi\) | |||||||
\(882\) | −3.21230 | + | 14.0740i | −0.108164 | + | 0.473896i | ||||
\(883\) | −10.7235 | − | 5.16416i | −0.360874 | − | 0.173788i | 0.244657 | − | 0.969610i | \(-0.421325\pi\) |
−0.605531 | + | 0.795822i | \(0.707039\pi\) | |||||||
\(884\) | −3.80194 | + | 1.83092i | −0.127873 | + | 0.0615804i | ||||
\(885\) | 2.25534 | − | 9.88129i | 0.0758124 | − | 0.332156i | ||||
\(886\) | −22.1362 | + | 27.7579i | −0.743679 | + | 0.932544i | ||||
\(887\) | −7.53833 | + | 9.45276i | −0.253112 | + | 0.317393i | −0.892112 | − | 0.451814i | \(-0.850777\pi\) |
0.639000 | + | 0.769207i | \(0.279348\pi\) | |||||||
\(888\) | −16.0891 | + | 7.74810i | −0.539915 | + | 0.260009i | ||||
\(889\) | −13.8361 | − | 60.6198i | −0.464047 | − | 2.03312i | ||||
\(890\) | 14.0030 | + | 17.5592i | 0.469381 | + | 0.588585i | ||||
\(891\) | −6.77921 | − | 29.7017i | −0.227112 | − | 0.995043i | ||||
\(892\) | 20.8877 | + | 10.0590i | 0.699372 | + | 0.336800i | ||||
\(893\) | −3.54892 | + | 4.45020i | −0.118760 | + | 0.148920i | ||||
\(894\) | 19.6271 | + | 9.45193i | 0.656430 | + | 0.316120i | ||||
\(895\) | 21.4765 | + | 26.9307i | 0.717880 | + | 0.900193i | ||||
\(896\) | −69.0646 | −2.30729 | ||||||||
\(897\) | −1.05264 | −0.0351466 | ||||||||
\(898\) | 18.2412 | + | 22.8738i | 0.608718 | + | 0.763308i | ||||
\(899\) | 9.48523 | − | 4.56785i | 0.316350 | − | 0.152346i | ||||
\(900\) | −0.394928 | + | 1.73029i | −0.0131643 | + | 0.0576764i | ||||
\(901\) | 1.40581 | + | 6.15927i | 0.0468344 | + | 0.205195i | ||||
\(902\) | −39.8678 | −1.32745 | ||||||||
\(903\) | 2.61596 | − | 43.2254i | 0.0870536 | − | 1.43845i | ||||
\(904\) | −22.0248 | −0.732532 | ||||||||
\(905\) | 5.40044 | + | 23.6609i | 0.179517 | + | 0.786514i | ||||
\(906\) | 4.35690 | − | 19.0888i | 0.144748 | − | 0.634183i | ||||
\(907\) | −11.4547 | + | 5.51631i | −0.380348 | + | 0.183166i | −0.614282 | − | 0.789086i | \(-0.710554\pi\) |
0.233934 | + | 0.972252i | \(0.424840\pi\) | |||||||
\(908\) | 29.4904 | + | 36.9798i | 0.978672 | + | 1.22722i | ||||
\(909\) | 5.36691 | 0.178009 | ||||||||
\(910\) | −5.87800 | −0.194854 | ||||||||
\(911\) | 20.4556 | + | 25.6505i | 0.677723 | + | 0.849838i | 0.995142 | − | 0.0984477i | \(-0.0313877\pi\) |
−0.317419 | + | 0.948285i | \(0.602816\pi\) | |||||||
\(912\) | −6.39493 | − | 3.07964i | −0.211757 | − | 0.101977i | ||||
\(913\) | −27.9209 | + | 35.0117i | −0.924046 | + | 1.15872i | ||||
\(914\) | −49.9342 | − | 24.0471i | −1.65168 | − | 0.795406i | ||||
\(915\) | −1.57002 | − | 6.87872i | −0.0519034 | − | 0.227404i | ||||
\(916\) | −44.9300 | − | 56.3405i | −1.48453 | − | 1.86154i | ||||
\(917\) | −9.91723 | − | 43.4502i | −0.327496 | − | 1.43485i | ||||
\(918\) | 50.6752 | − | 24.4039i | 1.67253 | − | 0.805448i | ||||
\(919\) | 5.43714 | − | 6.81796i | 0.179355 | − | 0.224904i | −0.684025 | − | 0.729459i | \(-0.739772\pi\) |
0.863380 | + | 0.504555i | \(0.168343\pi\) | |||||||
\(920\) | 6.46011 | − | 8.10072i | 0.212983 | − | 0.267073i | ||||
\(921\) | −2.45071 | + | 10.7373i | −0.0807538 | + | 0.353805i | ||||
\(922\) | 20.5809 | − | 9.91124i | 0.677796 | − | 0.326409i | ||||
\(923\) | 2.44504 | + | 1.17747i | 0.0804795 | + | 0.0387569i | ||||
\(924\) | 19.7397 | − | 86.4855i | 0.649390 | − | 2.84516i | ||||
\(925\) | 1.08426 | − | 4.75046i | 0.0356503 | − | 0.156194i | ||||
\(926\) | 29.4964 | + | 14.2047i | 0.969312 | + | 0.466796i | ||||
\(927\) | −0.610580 | + | 0.294040i | −0.0200541 | + | 0.00965754i | ||||
\(928\) | 4.26122 | − | 18.6696i | 0.139881 | − | 0.612860i | ||||
\(929\) | −2.58844 | + | 3.24580i | −0.0849240 | + | 0.106491i | −0.822478 | − | 0.568797i | \(-0.807409\pi\) |
0.737554 | + | 0.675288i | \(0.235981\pi\) | |||||||
\(930\) | −15.6069 | + | 19.5704i | −0.511769 | + | 0.641738i | ||||
\(931\) | −56.6006 | + | 27.2574i | −1.85501 | + | 0.893325i | ||||
\(932\) | 14.6969 | + | 64.3912i | 0.481412 | + | 2.10920i | ||||
\(933\) | 18.3403 | + | 22.9980i | 0.600433 | + | 0.752920i | ||||
\(934\) | 4.78352 | + | 20.9580i | 0.156522 | + | 0.685766i | ||||
\(935\) | −35.6775 | − | 17.1814i | −1.16678 | − | 0.561892i | ||||
\(936\) | 0.263446 | − | 0.330351i | 0.00861100 | − | 0.0107979i | ||||
\(937\) | −3.40581 | − | 1.64015i | −0.111263 | − | 0.0535815i | 0.377424 | − | 0.926040i | \(-0.376810\pi\) |
−0.488687 | + | 0.872459i | \(0.662524\pi\) | |||||||
\(938\) | 24.9061 | + | 31.2313i | 0.813213 | + | 1.01974i | ||||
\(939\) | 28.9350 | 0.944256 | ||||||||
\(940\) | 6.09783 | 0.198889 | ||||||||
\(941\) | 36.2766 | + | 45.4894i | 1.18258 | + | 1.48291i | 0.839291 | + | 0.543683i | \(0.182971\pi\) |
0.343292 | + | 0.939229i | \(0.388458\pi\) | |||||||
\(942\) | −33.3635 | + | 16.0670i | −1.08704 | + | 0.523492i | ||||
\(943\) | 1.96974 | − | 8.62998i | 0.0641435 | − | 0.281031i | ||||
\(944\) | −0.581573 | − | 2.54804i | −0.0189286 | − | 0.0829315i | ||||
\(945\) | 47.3116 | 1.53904 | ||||||||
\(946\) | 3.92154 | − | 64.7986i | 0.127500 | − | 2.10678i | ||||
\(947\) | −16.1105 | −0.523521 | −0.261761 | − | 0.965133i | \(-0.584303\pi\) | ||||
−0.261761 | + | 0.965133i | \(0.584303\pi\) | |||||||
\(948\) | 3.91789 | + | 17.1654i | 0.127247 | + | 0.557507i | ||||
\(949\) | −0.291717 | + | 1.27809i | −0.00946952 | + | 0.0414887i | ||||
\(950\) | −11.5233 | + | 5.54931i | −0.373864 | + | 0.180043i | ||||
\(951\) | 13.8745 | + | 17.3981i | 0.449911 | + | 0.564171i | ||||
\(952\) | 44.9831 | 1.45791 | ||||||||
\(953\) | 15.3381 | 0.496850 | 0.248425 | − | 0.968651i | \(-0.420087\pi\) | ||||
0.248425 | + | 0.968651i | \(0.420087\pi\) | |||||||
\(954\) | −1.14646 | − | 1.43761i | −0.0371179 | − | 0.0465444i | ||||
\(955\) | −28.8702 | − | 13.9032i | −0.934219 | − | 0.449896i | ||||
\(956\) | −32.6987 | + | 41.0028i | −1.05755 | + | 1.32613i | ||||
\(957\) | 18.1407 | + | 8.73611i | 0.586406 | + | 0.282398i | ||||
\(958\) | −12.3925 | − | 54.2952i | −0.400385 | − | 1.75420i | ||||
\(959\) | 23.6957 | + | 29.7134i | 0.765173 | + | 0.959497i | ||||
\(960\) | 9.02177 | + | 39.5270i | 0.291176 | + | 1.27573i | ||||
\(961\) | 16.3693 | − | 7.88303i | 0.528041 | − | 0.254291i | ||||
\(962\) | −2.10238 | + | 2.63631i | −0.0677836 | + | 0.0849979i | ||||
\(963\) | 5.67659 | − | 7.11822i | 0.182925 | − | 0.229381i | ||||
\(964\) | −17.1574 | + | 75.1715i | −0.552603 | + | 2.42111i | ||||
\(965\) | 42.8635 | − | 20.6420i | 1.37983 | − | 0.664489i | ||||
\(966\) | 29.3865 | + | 14.1518i | 0.945495 | + | 0.455326i | ||||
\(967\) | 11.7067 | − | 51.2902i | 0.376461 | − | 1.64938i | −0.331740 | − | 0.943371i | \(-0.607636\pi\) |
0.708200 | − | 0.706012i | \(-0.249507\pi\) | |||||||
\(968\) | 4.41132 | − | 19.3273i | 0.141785 | − | 0.621202i | ||||
\(969\) | 35.8364 | + | 17.2579i | 1.15123 | + | 0.554403i | ||||
\(970\) | −73.8805 | + | 35.5790i | −2.37216 | + | 1.14237i | ||||
\(971\) | −2.03093 | + | 8.89807i | −0.0651755 | + | 0.285553i | −0.997004 | − | 0.0773455i | \(-0.975356\pi\) |
0.931829 | + | 0.362898i | \(0.118213\pi\) | |||||||
\(972\) | −11.3256 | + | 14.2018i | −0.363268 | + | 0.455523i | ||||
\(973\) | −22.2902 | + | 27.9510i | −0.714589 | + | 0.896067i | ||||
\(974\) | 52.4478 | − | 25.2575i | 1.68054 | − | 0.809303i | ||||
\(975\) | −0.106564 | − | 0.466887i | −0.00341278 | − | 0.0149523i | ||||
\(976\) | −1.13437 | − | 1.42246i | −0.0363105 | − | 0.0455319i | ||||
\(977\) | 9.04689 | + | 39.6370i | 0.289436 | + | 1.26810i | 0.885302 | + | 0.465017i | \(0.153952\pi\) |
−0.595866 | + | 0.803084i | \(0.703191\pi\) | |||||||
\(978\) | 73.7108 | + | 35.4972i | 2.35701 | + | 1.13508i | ||||
\(979\) | −13.7283 | + | 17.2148i | −0.438759 | + | 0.550187i | ||||
\(980\) | 60.6359 | + | 29.2007i | 1.93694 | + | 0.932783i | ||||
\(981\) | −3.24781 | − | 4.07262i | −0.103695 | − | 0.130029i | ||||
\(982\) | −55.5109 | −1.77143 | ||||||||
\(983\) | −46.1135 | −1.47079 | −0.735396 | − | 0.677638i | \(-0.763004\pi\) | ||||
−0.735396 | + | 0.677638i | \(0.763004\pi\) | |||||||
\(984\) | −9.20208 | − | 11.5390i | −0.293352 | − | 0.367851i | ||||
\(985\) | 28.5700 | − | 13.7586i | 0.910317 | − | 0.438385i | ||||
\(986\) | −6.60388 | + | 28.9335i | −0.210310 | + | 0.921429i | ||||
\(987\) | 1.46950 | + | 6.43830i | 0.0467747 | + | 0.204933i | ||||
\(988\) | 5.34481 | 0.170041 | ||||||||
\(989\) | 13.8329 | + | 4.05036i | 0.439859 | + | 0.128794i | ||||
\(990\) | 11.5254 | 0.366302 | ||||||||
\(991\) | −8.03827 | − | 35.2180i | −0.255344 | − | 1.11874i | −0.926166 | − | 0.377117i | \(-0.876916\pi\) |
0.670822 | − | 0.741619i | \(-0.265942\pi\) | |||||||
\(992\) | −5.19364 | + | 22.7548i | −0.164898 | + | 0.722467i | ||||
\(993\) | 27.2724 | − | 13.1337i | 0.865463 | − | 0.416785i | ||||
\(994\) | −52.4282 | − | 65.7429i | −1.66292 | − | 2.08524i | ||||
\(995\) | −17.5168 | −0.555320 | ||||||||
\(996\) | −48.1879 | −1.52689 | ||||||||
\(997\) | −12.4936 | − | 15.6665i | −0.395676 | − | 0.496162i | 0.543591 | − | 0.839351i | \(-0.317064\pi\) |
−0.939267 | + | 0.343189i | \(0.888493\pi\) | |||||||
\(998\) | −56.8488 | − | 27.3769i | −1.79952 | − | 0.866601i | ||||
\(999\) | 16.9219 | − | 21.2194i | 0.535386 | − | 0.671352i |
(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 | 43.2.e.b.16.1 | ✓ | 6 | |
3.2 | odd | 2 | 387.2.u.a.145.1 | 6 | |||
4.3 | odd | 2 | 688.2.u.c.145.1 | 6 | |||
43.11 | even | 7 | 1849.2.a.i.1.1 | 3 | |||
43.32 | odd | 14 | 1849.2.a.l.1.3 | 3 | |||
43.35 | even | 7 | inner | 43.2.e.b.35.1 | yes | 6 | |
129.35 | odd | 14 | 387.2.u.a.379.1 | 6 | |||
172.35 | odd | 14 | 688.2.u.c.465.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.2.e.b.16.1 | ✓ | 6 | 1.1 | even | 1 | trivial | |
43.2.e.b.35.1 | yes | 6 | 43.35 | even | 7 | inner | |
387.2.u.a.145.1 | 6 | 3.2 | odd | 2 | |||
387.2.u.a.379.1 | 6 | 129.35 | odd | 14 | |||
688.2.u.c.145.1 | 6 | 4.3 | odd | 2 | |||
688.2.u.c.465.1 | 6 | 172.35 | odd | 14 | |||
1849.2.a.i.1.1 | 3 | 43.11 | even | 7 | |||
1849.2.a.l.1.3 | 3 | 43.32 | odd | 14 |