Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [95,2,Mod(2,95)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(95, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("95.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 95.r (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.758578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 48.6 | ||
Character | \(\chi\) | \(=\) | 95.48 |
Dual form | 95.2.r.a.2.6 |
$q$-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 \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.259809 | − | 0.371046i | 0.183713 | − | 0.262369i | −0.716723 | − | 0.697358i | \(-0.754359\pi\) |
0.900436 | + | 0.434989i | \(0.143248\pi\) | |||||||
\(3\) | 0.264820 | − | 3.02691i | 0.152894 | − | 1.74759i | −0.401976 | − | 0.915650i | \(-0.631676\pi\) |
0.554870 | − | 0.831937i | \(-0.312768\pi\) | |||||||
\(4\) | 0.613866 | + | 1.68658i | 0.306933 | + | 0.843292i | ||||
\(5\) | −1.63140 | − | 1.52922i | −0.729586 | − | 0.683889i | ||||
\(6\) | −1.05432 | − | 0.884679i | −0.430424 | − | 0.361169i | ||||
\(7\) | 0.508516 | + | 1.89781i | 0.192201 | + | 0.717304i | 0.992974 | + | 0.118336i | \(0.0377558\pi\) |
−0.800773 | + | 0.598968i | \(0.795577\pi\) | |||||||
\(8\) | 1.66034 | + | 0.444888i | 0.587020 | + | 0.157292i | ||||
\(9\) | −6.13763 | − | 1.08223i | −2.04588 | − | 0.360744i | ||||
\(10\) | −0.991264 | + | 0.208020i | −0.313465 | + | 0.0657817i | ||||
\(11\) | 0.238127 | + | 0.412449i | 0.0717981 | + | 0.124358i | 0.899689 | − | 0.436531i | \(-0.143793\pi\) |
−0.827891 | + | 0.560889i | \(0.810460\pi\) | |||||||
\(12\) | 5.26770 | − | 1.41148i | 1.52065 | − | 0.407458i | ||||
\(13\) | 4.16333 | − | 0.364244i | 1.15470 | − | 0.101023i | 0.506324 | − | 0.862343i | \(-0.331004\pi\) |
0.648377 | + | 0.761320i | \(0.275448\pi\) | |||||||
\(14\) | 0.836290 | + | 0.304385i | 0.223508 | + | 0.0813503i | ||||
\(15\) | −5.06085 | + | 4.53315i | −1.30670 | + | 1.17045i | ||||
\(16\) | −2.15338 | + | 1.80690i | −0.538346 | + | 0.451726i | ||||
\(17\) | 0.661787 | + | 0.463388i | 0.160507 | + | 0.112388i | 0.651071 | − | 0.759017i | \(-0.274320\pi\) |
−0.490564 | + | 0.871405i | \(0.663209\pi\) | |||||||
\(18\) | −1.99617 | + | 1.99617i | −0.470502 | + | 0.470502i | ||||
\(19\) | 2.59888 | + | 3.49940i | 0.596224 | + | 0.802818i | ||||
\(20\) | 1.57770 | − | 3.69024i | 0.352783 | − | 0.825162i | ||||
\(21\) | 5.87916 | − | 1.03665i | 1.28294 | − | 0.226217i | ||||
\(22\) | 0.214905 | + | 0.0188017i | 0.0458179 | + | 0.00400854i | ||||
\(23\) | −4.23599 | − | 1.97527i | −0.883265 | − | 0.411873i | −0.0725845 | − | 0.997362i | \(-0.523125\pi\) |
−0.810680 | + | 0.585489i | \(0.800902\pi\) | |||||||
\(24\) | 1.78633 | − | 4.90790i | 0.364633 | − | 1.00182i | ||||
\(25\) | 0.322962 | + | 4.98956i | 0.0645925 | + | 0.997912i | ||||
\(26\) | 0.946520 | − | 1.63942i | 0.185628 | − | 0.321517i | ||||
\(27\) | −2.54194 | + | 9.48666i | −0.489197 | + | 1.82571i | ||||
\(28\) | −2.88865 | + | 2.02265i | −0.545904 | + | 0.382246i | ||||
\(29\) | −0.693994 | + | 3.93584i | −0.128871 | + | 0.730866i | 0.850061 | + | 0.526684i | \(0.176565\pi\) |
−0.978933 | + | 0.204183i | \(0.934546\pi\) | |||||||
\(30\) | 0.367151 | + | 3.05556i | 0.0670323 | + | 0.557866i | ||||
\(31\) | −8.78658 | − | 5.07294i | −1.57812 | − | 0.911126i | −0.995122 | − | 0.0986501i | \(-0.968548\pi\) |
−0.582995 | − | 0.812476i | \(-0.698119\pi\) | |||||||
\(32\) | 0.410602 | + | 4.69320i | 0.0725849 | + | 0.829649i | ||||
\(33\) | 1.31151 | − | 0.611565i | 0.228304 | − | 0.106460i | ||||
\(34\) | 0.343876 | − | 0.125161i | 0.0589743 | − | 0.0214649i | ||||
\(35\) | 2.07257 | − | 3.87373i | 0.350329 | − | 0.654779i | ||||
\(36\) | −1.94241 | − | 11.0160i | −0.323736 | − | 1.83600i | ||||
\(37\) | −4.48456 | − | 4.48456i | −0.737257 | − | 0.737257i | 0.234789 | − | 0.972046i | \(-0.424560\pi\) |
−0.972046 | + | 0.234789i | \(0.924560\pi\) | |||||||
\(38\) | 1.97365 | − | 0.0551271i | 0.320168 | − | 0.00894280i | ||||
\(39\) | − | 12.6985i | − | 2.03339i | ||||||
\(40\) | −2.02836 | − | 3.26483i | −0.320712 | − | 0.516215i | ||||
\(41\) | 4.84667 | + | 5.77603i | 0.756922 | + | 0.902064i | 0.997649 | − | 0.0685283i | \(-0.0218304\pi\) |
−0.240727 | + | 0.970593i | \(0.577386\pi\) | |||||||
\(42\) | 1.14281 | − | 2.45077i | 0.176340 | − | 0.378162i | ||||
\(43\) | 0.462984 | + | 0.992873i | 0.0706044 | + | 0.151412i | 0.938443 | − | 0.345435i | \(-0.112269\pi\) |
−0.867838 | + | 0.496847i | \(0.834491\pi\) | |||||||
\(44\) | −0.549451 | + | 0.654810i | −0.0828328 | + | 0.0987163i | ||||
\(45\) | 8.35800 | + | 11.1514i | 1.24594 | + | 1.66235i | ||||
\(46\) | −1.83346 | + | 1.05855i | −0.270330 | + | 0.156075i | ||||
\(47\) | −5.33230 | − | 7.61531i | −0.777796 | − | 1.11081i | −0.991008 | − | 0.133802i | \(-0.957282\pi\) |
0.213212 | − | 0.977006i | \(-0.431607\pi\) | |||||||
\(48\) | 4.89908 | + | 6.99661i | 0.707121 | + | 1.00987i | ||||
\(49\) | 2.71909 | − | 1.56987i | 0.388442 | − | 0.224267i | ||||
\(50\) | 1.93526 | + | 1.17650i | 0.273687 | + | 0.166382i | ||||
\(51\) | 1.57789 | − | 1.88046i | 0.220949 | − | 0.263317i | ||||
\(52\) | 3.17006 | + | 6.79821i | 0.439608 | + | 0.942742i | ||||
\(53\) | 3.03662 | − | 6.51205i | 0.417112 | − | 0.894499i | −0.579709 | − | 0.814824i | \(-0.696834\pi\) |
0.996821 | − | 0.0796756i | \(-0.0253884\pi\) | |||||||
\(54\) | 2.85956 | + | 3.40789i | 0.389137 | + | 0.463756i | ||||
\(55\) | 0.242243 | − | 1.03702i | 0.0326641 | − | 0.139832i | ||||
\(56\) | 3.37725i | 0.451304i | ||||||||
\(57\) | 11.2806 | − | 6.93987i | 1.49415 | − | 0.919208i | ||||
\(58\) | 1.28007 | + | 1.28007i | 0.168081 | + | 0.168081i | ||||
\(59\) | −0.304047 | − | 1.72434i | −0.0395836 | − | 0.224490i | 0.958598 | − | 0.284761i | \(-0.0919144\pi\) |
−0.998182 | + | 0.0602717i | \(0.980803\pi\) | |||||||
\(60\) | −10.7522 | − | 5.75279i | −1.38810 | − | 0.742682i | ||||
\(61\) | −3.30814 | + | 1.20406i | −0.423564 | + | 0.154165i | −0.545003 | − | 0.838434i | \(-0.683471\pi\) |
0.121439 | + | 0.992599i | \(0.461249\pi\) | |||||||
\(62\) | −4.16512 | + | 1.94223i | −0.528971 | + | 0.246663i | ||||
\(63\) | −1.06722 | − | 12.1984i | −0.134457 | − | 1.53685i | ||||
\(64\) | −3.02080 | − | 1.74406i | −0.377600 | − | 0.218008i | ||||
\(65\) | −7.34909 | − | 5.77243i | −0.911543 | − | 0.715982i | ||||
\(66\) | 0.113822 | − | 0.645519i | 0.0140106 | − | 0.0794579i | ||||
\(67\) | −2.48924 | + | 1.74299i | −0.304110 | + | 0.212940i | −0.715663 | − | 0.698446i | \(-0.753875\pi\) |
0.411553 | + | 0.911386i | \(0.364986\pi\) | |||||||
\(68\) | −0.375294 | + | 1.40062i | −0.0455111 | + | 0.169850i | ||||
\(69\) | −7.10075 | + | 12.2989i | −0.854830 | + | 1.48061i | ||||
\(70\) | −0.898856 | − | 1.77545i | −0.107434 | − | 0.212207i | ||||
\(71\) | −0.907322 | + | 2.49285i | −0.107679 | + | 0.295847i | −0.981816 | − | 0.189833i | \(-0.939205\pi\) |
0.874137 | + | 0.485679i | \(0.161428\pi\) | |||||||
\(72\) | −9.70912 | − | 4.52744i | −1.14423 | − | 0.533563i | ||||
\(73\) | 0.394051 | + | 0.0344750i | 0.0461202 | + | 0.00403499i | 0.110192 | − | 0.993910i | \(-0.464853\pi\) |
−0.0640723 | + | 0.997945i | \(0.520409\pi\) | |||||||
\(74\) | −2.82911 | + | 0.498848i | −0.328877 | + | 0.0579899i | ||||
\(75\) | 15.1885 | + | 0.343758i | 1.75381 | + | 0.0396938i | ||||
\(76\) | −4.30667 | + | 6.53139i | −0.494009 | + | 0.749202i | ||||
\(77\) | −0.661657 | + | 0.661657i | −0.0754028 | + | 0.0754028i | ||||
\(78\) | −4.71172 | − | 3.29918i | −0.533497 | − | 0.373559i | ||||
\(79\) | −3.51787 | + | 2.95185i | −0.395792 | + | 0.332109i | −0.818864 | − | 0.573987i | \(-0.805396\pi\) |
0.423073 | + | 0.906096i | \(0.360952\pi\) | |||||||
\(80\) | 6.27620 | + | 0.345210i | 0.701700 | + | 0.0385957i | ||||
\(81\) | 10.4727 | + | 3.81176i | 1.16364 | + | 0.423529i | ||||
\(82\) | 3.40238 | − | 0.297669i | 0.375730 | − | 0.0328721i | ||||
\(83\) | −7.60197 | + | 2.03694i | −0.834425 | + | 0.223583i | −0.650643 | − | 0.759384i | \(-0.725501\pi\) |
−0.183782 | + | 0.982967i | \(0.558834\pi\) | |||||||
\(84\) | 5.35742 | + | 9.27933i | 0.584543 | + | 1.01246i | ||||
\(85\) | −0.371019 | − | 1.76799i | −0.0402427 | − | 0.191766i | ||||
\(86\) | 0.488688 | + | 0.0861690i | 0.0526966 | + | 0.00929184i | ||||
\(87\) | 11.7296 | + | 3.14295i | 1.25755 | + | 0.336959i | ||||
\(88\) | 0.211880 | + | 0.790747i | 0.0225865 | + | 0.0842939i | ||||
\(89\) | 0.225503 | + | 0.189219i | 0.0239032 | + | 0.0200572i | 0.654661 | − | 0.755923i | \(-0.272811\pi\) |
−0.630758 | + | 0.775980i | \(0.717256\pi\) | |||||||
\(90\) | 6.30915 | − | 0.203975i | 0.665042 | − | 0.0215008i | ||||
\(91\) | 2.80839 | + | 7.71598i | 0.294399 | + | 0.808855i | ||||
\(92\) | 0.731134 | − | 8.35690i | 0.0762260 | − | 0.871267i | ||||
\(93\) | −17.6822 | + | 25.2528i | −1.83356 | + | 2.61859i | ||||
\(94\) | −4.21101 | −0.434332 | ||||||||
\(95\) | 1.11154 | − | 9.68321i | 0.114041 | − | 0.993476i | ||||
\(96\) | 14.3146 | 1.46098 | ||||||||
\(97\) | 2.37298 | − | 3.38897i | 0.240940 | − | 0.344097i | −0.680411 | − | 0.732831i | \(-0.738199\pi\) |
0.921350 | + | 0.388734i | \(0.127087\pi\) | |||||||
\(98\) | 0.123952 | − | 1.41677i | 0.0125210 | − | 0.143116i | ||||
\(99\) | −1.01517 | − | 2.78917i | −0.102029 | − | 0.280322i | ||||
\(100\) | −8.21705 | + | 3.60762i | −0.821705 | + | 0.360762i | ||||
\(101\) | 7.59390 | + | 6.37204i | 0.755622 | + | 0.634042i | 0.936983 | − | 0.349375i | \(-0.113606\pi\) |
−0.181361 | + | 0.983417i | \(0.558050\pi\) | |||||||
\(102\) | −0.287785 | − | 1.07403i | −0.0284950 | − | 0.106345i | ||||
\(103\) | 16.5649 | + | 4.43855i | 1.63219 | + | 0.437344i | 0.954550 | − | 0.298051i | \(-0.0963367\pi\) |
0.677639 | + | 0.735395i | \(0.263003\pi\) | |||||||
\(104\) | 7.07462 | + | 1.24745i | 0.693723 | + | 0.122322i | ||||
\(105\) | −11.1766 | − | 7.29934i | −1.09072 | − | 0.712342i | ||||
\(106\) | −1.62733 | − | 2.81861i | −0.158060 | − | 0.273768i | ||||
\(107\) | −1.01491 | + | 0.271946i | −0.0981155 | + | 0.0262900i | −0.307543 | − | 0.951534i | \(-0.599507\pi\) |
0.209427 | + | 0.977824i | \(0.432840\pi\) | |||||||
\(108\) | −17.5605 | + | 1.53634i | −1.68976 | + | 0.147834i | ||||
\(109\) | 7.91145 | + | 2.87953i | 0.757780 | + | 0.275809i | 0.691876 | − | 0.722017i | \(-0.256785\pi\) |
0.0659041 | + | 0.997826i | \(0.479007\pi\) | |||||||
\(110\) | −0.321845 | − | 0.359310i | −0.0306867 | − | 0.0342589i | ||||
\(111\) | −14.7620 | + | 12.3868i | −1.40114 | + | 1.17570i | ||||
\(112\) | −4.52419 | − | 3.16787i | −0.427496 | − | 0.299336i | ||||
\(113\) | 7.71845 | − | 7.71845i | 0.726091 | − | 0.726091i | −0.243748 | − | 0.969839i | \(-0.578377\pi\) |
0.969839 | + | 0.243748i | \(0.0783769\pi\) | |||||||
\(114\) | 0.355798 | − | 5.98866i | 0.0333235 | − | 0.560890i | ||||
\(115\) | 3.88998 | + | 9.70024i | 0.362743 | + | 0.904552i | ||||
\(116\) | −7.06413 | + | 1.24560i | −0.655888 | + | 0.115651i | ||||
\(117\) | −25.9472 | − | 2.27009i | −2.39882 | − | 0.209870i | ||||
\(118\) | −0.718802 | − | 0.335183i | −0.0661711 | − | 0.0308561i | ||||
\(119\) | −0.542893 | + | 1.49159i | −0.0497669 | + | 0.136733i | ||||
\(120\) | −10.4195 | + | 5.27508i | −0.951165 | + | 0.481546i | ||||
\(121\) | 5.38659 | − | 9.32985i | 0.489690 | − | 0.848168i | ||||
\(122\) | −0.412721 | + | 1.54030i | −0.0373660 | + | 0.139452i | ||||
\(123\) | 18.7670 | − | 13.1408i | 1.69217 | − | 1.18487i | ||||
\(124\) | 3.16214 | − | 17.9334i | 0.283969 | − | 1.61047i | ||||
\(125\) | 7.10326 | − | 8.63387i | 0.635335 | − | 0.772237i | ||||
\(126\) | −4.80343 | − | 2.77326i | −0.427924 | − | 0.247062i | ||||
\(127\) | −0.875911 | − | 10.0117i | −0.0777245 | − | 0.888395i | −0.930542 | − | 0.366186i | \(-0.880663\pi\) |
0.852817 | − | 0.522210i | \(-0.174892\pi\) | |||||||
\(128\) | −9.97142 | + | 4.64975i | −0.881358 | + | 0.410984i | ||||
\(129\) | 3.12794 | − | 1.13848i | 0.275400 | − | 0.100237i | ||||
\(130\) | −4.05119 | + | 1.22712i | −0.355313 | + | 0.107626i | ||||
\(131\) | −2.04515 | − | 11.5986i | −0.178686 | − | 1.01338i | −0.933803 | − | 0.357787i | \(-0.883531\pi\) |
0.755118 | − | 0.655589i | \(-0.227580\pi\) | |||||||
\(132\) | 1.83655 | + | 1.83655i | 0.159851 | + | 0.159851i | ||||
\(133\) | −5.31962 | + | 6.71168i | −0.461270 | + | 0.581976i | ||||
\(134\) | 1.37647i | 0.118909i | ||||||||
\(135\) | 18.6541 | − | 11.5894i | 1.60549 | − | 0.997455i | ||||
\(136\) | 0.892639 | + | 1.06381i | 0.0765432 | + | 0.0912206i | ||||
\(137\) | −7.93960 | + | 17.0265i | −0.678325 | + | 1.45467i | 0.201554 | + | 0.979477i | \(0.435401\pi\) |
−0.879880 | + | 0.475196i | \(0.842377\pi\) | |||||||
\(138\) | 2.71860 | + | 5.83006i | 0.231423 | + | 0.496288i | ||||
\(139\) | 6.70183 | − | 7.98693i | 0.568441 | − | 0.677442i | −0.402869 | − | 0.915258i | \(-0.631987\pi\) |
0.971310 | + | 0.237816i | \(0.0764314\pi\) | |||||||
\(140\) | 7.80564 | + | 1.11762i | 0.659697 | + | 0.0944560i | ||||
\(141\) | −24.4630 | + | 14.1237i | −2.06015 | + | 1.18943i | ||||
\(142\) | 0.689230 | + | 0.984322i | 0.0578389 | + | 0.0826025i | ||||
\(143\) | 1.14164 | + | 1.63042i | 0.0954684 | + | 0.136343i | ||||
\(144\) | 15.1722 | − | 8.75966i | 1.26435 | − | 0.729972i | ||||
\(145\) | 7.15095 | − | 5.35967i | 0.593854 | − | 0.445096i | ||||
\(146\) | 0.115170 | − | 0.137254i | 0.00953151 | − | 0.0113592i | ||||
\(147\) | −4.03178 | − | 8.64618i | −0.332536 | − | 0.713125i | ||||
\(148\) | 4.81067 | − | 10.3165i | 0.395434 | − | 0.848012i | ||||
\(149\) | 14.5924 | + | 17.3906i | 1.19546 | + | 1.42469i | 0.879487 | + | 0.475922i | \(0.157886\pi\) |
0.315970 | + | 0.948769i | \(0.397670\pi\) | |||||||
\(150\) | 4.07365 | − | 5.54631i | 0.332612 | − | 0.452854i | ||||
\(151\) | 3.39398i | 0.276198i | 0.990418 | + | 0.138099i | \(0.0440992\pi\) | ||||
−0.990418 | + | 0.138099i | \(0.955901\pi\) | |||||||
\(152\) | 2.75820 | + | 6.96643i | 0.223719 | + | 0.565052i | ||||
\(153\) | −3.56032 | − | 3.56032i | −0.287834 | − | 0.287834i | ||||
\(154\) | 0.0736005 | + | 0.417409i | 0.00593090 | + | 0.0336358i | ||||
\(155\) | 6.57683 | + | 21.7126i | 0.528264 | + | 1.74400i | ||||
\(156\) | 21.4171 | − | 7.79518i | 1.71474 | − | 0.624114i | ||||
\(157\) | 11.1996 | − | 5.22244i | 0.893823 | − | 0.416796i | 0.0792479 | − | 0.996855i | \(-0.474748\pi\) |
0.814575 | + | 0.580059i | \(0.196970\pi\) | |||||||
\(158\) | 0.181295 | + | 2.07221i | 0.0144230 | + | 0.164856i | ||||
\(159\) | −18.9072 | − | 10.9161i | −1.49944 | − | 0.865703i | ||||
\(160\) | 6.50709 | − | 8.28441i | 0.514431 | − | 0.654940i | ||||
\(161\) | 1.59462 | − | 9.04355i | 0.125674 | − | 0.712732i | ||||
\(162\) | 4.13524 | − | 2.89553i | 0.324895 | − | 0.227494i | ||||
\(163\) | −0.206494 | + | 0.770648i | −0.0161739 | + | 0.0603618i | −0.973541 | − | 0.228512i | \(-0.926614\pi\) |
0.957367 | + | 0.288874i | \(0.0932807\pi\) | |||||||
\(164\) | −6.76655 | + | 11.7200i | −0.528379 | + | 0.915179i | ||||
\(165\) | −3.07482 | − | 1.00787i | −0.239374 | − | 0.0784628i | ||||
\(166\) | −1.21926 | + | 3.34989i | −0.0946331 | + | 0.260002i | ||||
\(167\) | −11.8591 | − | 5.53000i | −0.917687 | − | 0.427924i | −0.0943898 | − | 0.995535i | \(-0.530090\pi\) |
−0.823297 | + | 0.567611i | \(0.807868\pi\) | |||||||
\(168\) | 10.2226 | + | 0.894364i | 0.788693 | + | 0.0690017i | ||||
\(169\) | 4.39817 | − | 0.775516i | 0.338321 | − | 0.0596551i | ||||
\(170\) | −0.752400 | − | 0.321675i | −0.0577065 | − | 0.0246714i | ||||
\(171\) | −12.1638 | − | 24.2906i | −0.930191 | − | 1.85755i | ||||
\(172\) | −1.39035 | + | 1.39035i | −0.106013 | + | 0.106013i | ||||
\(173\) | −8.58372 | − | 6.01038i | −0.652608 | − | 0.456961i | 0.199801 | − | 0.979836i | \(-0.435970\pi\) |
−0.852409 | + | 0.522875i | \(0.824859\pi\) | |||||||
\(174\) | 4.21364 | − | 3.53567i | 0.319435 | − | 0.268038i | ||||
\(175\) | −9.30499 | + | 3.15019i | −0.703391 | + | 0.238132i | ||||
\(176\) | −1.25803 | − | 0.457887i | −0.0948279 | − | 0.0345145i | ||||
\(177\) | −5.29994 | + | 0.463684i | −0.398368 | + | 0.0348526i | ||||
\(178\) | 0.128796 | − | 0.0345109i | 0.00965370 | − | 0.00258670i | ||||
\(179\) | 2.06040 | + | 3.56872i | 0.154002 | + | 0.266739i | 0.932695 | − | 0.360666i | \(-0.117451\pi\) |
−0.778693 | + | 0.627405i | \(0.784117\pi\) | |||||||
\(180\) | −13.6770 | + | 20.9419i | −1.01942 | + | 1.56092i | ||||
\(181\) | 1.86465 | + | 0.328788i | 0.138598 | + | 0.0244386i | 0.242517 | − | 0.970147i | \(-0.422027\pi\) |
−0.103919 | + | 0.994586i | \(0.533138\pi\) | |||||||
\(182\) | 3.59263 | + | 0.962641i | 0.266303 | + | 0.0713557i | ||||
\(183\) | 2.76853 | + | 10.3323i | 0.204656 | + | 0.763785i | ||||
\(184\) | −6.15443 | − | 5.16418i | −0.453710 | − | 0.380708i | ||||
\(185\) | 0.458246 | + | 14.1740i | 0.0336909 | + | 1.04209i | ||||
\(186\) | 4.77594 | + | 13.1218i | 0.350189 | + | 0.962137i | ||||
\(187\) | −0.0335343 | + | 0.383299i | −0.00245227 | + | 0.0280296i | ||||
\(188\) | 9.57054 | − | 13.6681i | 0.698003 | − | 0.996852i | ||||
\(189\) | −19.2965 | −1.40361 | ||||||||
\(190\) | −3.30412 | − | 2.92821i | −0.239706 | − | 0.212435i | ||||
\(191\) | −10.2817 | −0.743955 | −0.371977 | − | 0.928242i | \(-0.621320\pi\) | ||||
−0.371977 | + | 0.928242i | \(0.621320\pi\) | |||||||
\(192\) | −6.07908 | + | 8.68183i | −0.438720 | + | 0.626557i | ||||
\(193\) | −0.160524 | + | 1.83479i | −0.0115547 | + | 0.132071i | −0.999781 | − | 0.0209284i | \(-0.993338\pi\) |
0.988226 | + | 0.153000i | \(0.0488934\pi\) | |||||||
\(194\) | −0.640940 | − | 1.76097i | −0.0460168 | − | 0.126430i | ||||
\(195\) | −19.4188 | + | 20.7164i | −1.39061 | + | 1.48353i | ||||
\(196\) | 4.31687 | + | 3.62229i | 0.308348 | + | 0.258735i | ||||
\(197\) | −1.75700 | − | 6.55723i | −0.125181 | − | 0.467183i | 0.874665 | − | 0.484728i | \(-0.161082\pi\) |
−0.999846 | + | 0.0175452i | \(0.994415\pi\) | |||||||
\(198\) | −1.29866 | − | 0.347975i | −0.0922917 | − | 0.0247295i | ||||
\(199\) | −13.7215 | − | 2.41947i | −0.972691 | − | 0.171512i | −0.335350 | − | 0.942094i | \(-0.608855\pi\) |
−0.637341 | + | 0.770582i | \(0.719966\pi\) | |||||||
\(200\) | −1.68357 | + | 8.42807i | −0.119046 | + | 0.595954i | ||||
\(201\) | 4.61667 | + | 7.99630i | 0.325634 | + | 0.564015i | ||||
\(202\) | 4.33728 | − | 1.16217i | 0.305170 | − | 0.0817701i | ||||
\(203\) | −7.82237 | + | 0.684368i | −0.549023 | + | 0.0480332i | ||||
\(204\) | 4.14016 | + | 1.50689i | 0.289869 | + | 0.105504i | ||||
\(205\) | 0.925959 | − | 16.8347i | 0.0646718 | − | 1.17578i | ||||
\(206\) | 5.95062 | − | 4.99316i | 0.414599 | − | 0.347890i | ||||
\(207\) | 23.8613 | + | 16.7078i | 1.65847 | + | 1.16127i | ||||
\(208\) | −8.30710 | + | 8.30710i | −0.575994 | + | 0.575994i | ||||
\(209\) | −0.824459 | + | 1.90521i | −0.0570290 | + | 0.131786i | ||||
\(210\) | −5.61216 | + | 2.25058i | −0.387276 | + | 0.155305i | ||||
\(211\) | 10.8661 | − | 1.91599i | 0.748053 | − | 0.131902i | 0.213390 | − | 0.976967i | \(-0.431550\pi\) |
0.534663 | + | 0.845065i | \(0.320438\pi\) | |||||||
\(212\) | 12.8472 | + | 1.12398i | 0.882349 | + | 0.0771955i | ||||
\(213\) | 7.30535 | + | 3.40654i | 0.500554 | + | 0.233412i | ||||
\(214\) | −0.162780 | + | 0.447234i | −0.0111274 | + | 0.0305723i | ||||
\(215\) | 0.763008 | − | 2.32778i | 0.0520367 | − | 0.158753i | ||||
\(216\) | −8.44100 | + | 14.6202i | −0.574337 | + | 0.994781i | ||||
\(217\) | 5.15934 | − | 19.2549i | 0.350239 | − | 1.30711i | ||||
\(218\) | 3.12390 | − | 2.18738i | 0.211578 | − | 0.148148i | ||||
\(219\) | 0.208705 | − | 1.18363i | 0.0141030 | − | 0.0799821i | ||||
\(220\) | 1.89773 | − | 0.228028i | 0.127945 | − | 0.0153736i | ||||
\(221\) | 2.92403 | + | 1.68819i | 0.196691 | + | 0.113560i | ||||
\(222\) | 0.760763 | + | 8.69556i | 0.0510590 | + | 0.583608i | ||||
\(223\) | −0.189557 | + | 0.0883919i | −0.0126937 | + | 0.00591916i | −0.428955 | − | 0.903326i | \(-0.641118\pi\) |
0.416261 | + | 0.909245i | \(0.363340\pi\) | |||||||
\(224\) | −8.69800 | + | 3.16581i | −0.581159 | + | 0.211525i | ||||
\(225\) | 3.41763 | − | 30.9736i | 0.227842 | − | 2.06491i | ||||
\(226\) | −0.858575 | − | 4.86922i | −0.0571116 | − | 0.323896i | ||||
\(227\) | 13.3368 | + | 13.3368i | 0.885192 | + | 0.885192i | 0.994057 | − | 0.108864i | \(-0.0347214\pi\) |
−0.108864 | + | 0.994057i | \(0.534721\pi\) | |||||||
\(228\) | 18.6295 | + | 14.7655i | 1.23377 | + | 0.977872i | ||||
\(229\) | − | 1.82322i | − | 0.120482i | −0.998184 | − | 0.0602408i | \(-0.980813\pi\) | ||
0.998184 | − | 0.0602408i | \(-0.0191869\pi\) | |||||||
\(230\) | 4.60988 | + | 1.07685i | 0.303967 | + | 0.0710053i | ||||
\(231\) | 1.82756 | + | 2.17800i | 0.120244 | + | 0.143302i | ||||
\(232\) | −2.90328 | + | 6.22609i | −0.190609 | + | 0.408763i | ||||
\(233\) | −7.65042 | − | 16.4064i | −0.501195 | − | 1.07482i | −0.980383 | − | 0.197104i | \(-0.936846\pi\) |
0.479187 | − | 0.877713i | \(-0.340932\pi\) | |||||||
\(234\) | −7.58362 | + | 9.03781i | −0.495757 | + | 0.590820i | ||||
\(235\) | −2.94636 | + | 20.5779i | −0.192199 | + | 1.34236i | ||||
\(236\) | 2.72160 | − | 1.57131i | 0.177161 | − | 0.102284i | ||||
\(237\) | 8.00337 | + | 11.4300i | 0.519875 | + | 0.742458i | ||||
\(238\) | 0.412398 | + | 0.588965i | 0.0267318 | + | 0.0381769i | ||||
\(239\) | −26.1511 | + | 15.0983i | −1.69157 | + | 0.976630i | −0.738323 | + | 0.674448i | \(0.764382\pi\) |
−0.953250 | + | 0.302183i | \(0.902285\pi\) | |||||||
\(240\) | 2.70699 | − | 18.9061i | 0.174735 | − | 1.22038i | ||||
\(241\) | 14.7560 | − | 17.5855i | 0.950516 | − | 1.13278i | −0.0405195 | − | 0.999179i | \(-0.512901\pi\) |
0.991035 | − | 0.133602i | \(-0.0426543\pi\) | |||||||
\(242\) | −2.06232 | − | 4.42265i | −0.132571 | − | 0.284299i | ||||
\(243\) | 1.85924 | − | 3.98716i | 0.119270 | − | 0.255776i | ||||
\(244\) | −4.06151 | − | 4.84032i | −0.260011 | − | 0.309869i | ||||
\(245\) | −6.83662 | − | 1.59700i | −0.436775 | − | 0.102029i | ||||
\(246\) | − | 10.3775i | − | 0.661647i | ||||||
\(247\) | 12.0946 | + | 13.6226i | 0.769564 | + | 0.866782i | ||||
\(248\) | −12.3319 | − | 12.3319i | −0.783074 | − | 0.783074i | ||||
\(249\) | 4.15249 | + | 23.5499i | 0.263153 | + | 1.49242i | ||||
\(250\) | −1.35807 | − | 4.87879i | −0.0858919 | − | 0.308562i | ||||
\(251\) | 3.28776 | − | 1.19665i | 0.207522 | − | 0.0755317i | −0.236168 | − | 0.971712i | \(-0.575892\pi\) |
0.443689 | + | 0.896181i | \(0.353669\pi\) | |||||||
\(252\) | 19.9185 | − | 9.28813i | 1.25475 | − | 0.585097i | ||||
\(253\) | −0.194006 | − | 2.21749i | −0.0121970 | − | 0.139413i | ||||
\(254\) | −3.94237 | − | 2.27613i | −0.247366 | − | 0.142817i | ||||
\(255\) | −5.44981 | + | 0.654841i | −0.341280 | + | 0.0410078i | ||||
\(256\) | 0.346016 | − | 1.96236i | 0.0216260 | − | 0.122647i | ||||
\(257\) | −3.46264 | + | 2.42456i | −0.215993 | + | 0.151240i | −0.676566 | − | 0.736382i | \(-0.736533\pi\) |
0.460573 | + | 0.887622i | \(0.347644\pi\) | |||||||
\(258\) | 0.390240 | − | 1.45640i | 0.0242953 | − | 0.0906713i | ||||
\(259\) | 6.23036 | − | 10.7913i | 0.387136 | − | 0.670539i | ||||
\(260\) | 5.22432 | − | 15.9384i | 0.323999 | − | 0.988455i | ||||
\(261\) | 8.51896 | − | 23.4057i | 0.527311 | − | 1.44877i | ||||
\(262\) | −4.83497 | − | 2.25458i | −0.298705 | − | 0.139289i | ||||
\(263\) | −17.5477 | − | 1.53523i | −1.08204 | − | 0.0946662i | −0.467837 | − | 0.883815i | \(-0.654967\pi\) |
−0.614202 | + | 0.789148i | \(0.710522\pi\) | |||||||
\(264\) | 2.44963 | − | 0.431936i | 0.150764 | − | 0.0265838i | ||||
\(265\) | −14.9123 | + | 5.98013i | −0.916057 | + | 0.367356i | ||||
\(266\) | 1.10825 | + | 3.71758i | 0.0679514 | + | 0.227939i | ||||
\(267\) | 0.632467 | − | 0.632467i | 0.0387063 | − | 0.0387063i | ||||
\(268\) | −4.46776 | − | 3.12836i | −0.272912 | − | 0.191095i | ||||
\(269\) | 10.0078 | − | 8.39751i | 0.610184 | − | 0.512006i | −0.284517 | − | 0.958671i | \(-0.591833\pi\) |
0.894701 | + | 0.446666i | \(0.147389\pi\) | |||||||
\(270\) | 0.546322 | − | 9.93256i | 0.0332481 | − | 0.604476i | ||||
\(271\) | −13.0902 | − | 4.76443i | −0.795171 | − | 0.289419i | −0.0876870 | − | 0.996148i | \(-0.527948\pi\) |
−0.707484 | + | 0.706730i | \(0.750170\pi\) | |||||||
\(272\) | −2.26238 | + | 0.197933i | −0.137177 | + | 0.0120014i | ||||
\(273\) | 24.0993 | − | 6.45739i | 1.45856 | − | 0.390819i | ||||
\(274\) | 4.25484 | + | 7.36959i | 0.257044 | + | 0.445213i | ||||
\(275\) | −1.98103 | + | 1.32136i | −0.119461 | + | 0.0796807i | ||||
\(276\) | −25.1020 | − | 4.42616i | −1.51096 | − | 0.266423i | ||||
\(277\) | −15.7870 | − | 4.23013i | −0.948552 | − | 0.254164i | −0.248804 | − | 0.968554i | \(-0.580038\pi\) |
−0.699748 | + | 0.714390i | \(0.746704\pi\) | |||||||
\(278\) | −1.22232 | − | 4.56176i | −0.0733098 | − | 0.273596i | ||||
\(279\) | 48.4387 | + | 40.6449i | 2.89995 | + | 2.43335i | ||||
\(280\) | 5.16456 | − | 5.50966i | 0.308642 | − | 0.329265i | ||||
\(281\) | 9.89365 | + | 27.1826i | 0.590206 | + | 1.62158i | 0.770123 | + | 0.637895i | \(0.220195\pi\) |
−0.179918 | + | 0.983682i | \(0.557583\pi\) | |||||||
\(282\) | −1.11516 | + | 12.7463i | −0.0664068 | + | 0.759034i | ||||
\(283\) | −11.0054 | + | 15.7173i | −0.654202 | + | 0.934297i | −0.999992 | − | 0.00401516i | \(-0.998722\pi\) |
0.345790 | + | 0.938312i | \(0.387611\pi\) | |||||||
\(284\) | −4.76137 | −0.282535 | ||||||||
\(285\) | −29.0158 | − | 5.92883i | −1.71875 | − | 0.351194i | ||||
\(286\) | 0.901569 | 0.0533109 | ||||||||
\(287\) | −8.49719 | + | 12.1352i | −0.501573 | + | 0.716321i | ||||
\(288\) | 2.55900 | − | 29.2495i | 0.150791 | − | 1.72354i | ||||
\(289\) | −5.59111 | − | 15.3614i | −0.328889 | − | 0.903614i | ||||
\(290\) | −0.130801 | − | 4.04582i | −0.00768092 | − | 0.237579i | ||||
\(291\) | −9.62968 | − | 8.08026i | −0.564502 | − | 0.473673i | ||||
\(292\) | 0.183750 | + | 0.685763i | 0.0107531 | + | 0.0401312i | ||||
\(293\) | −2.71171 | − | 0.726601i | −0.158420 | − | 0.0424485i | 0.178737 | − | 0.983897i | \(-0.442799\pi\) |
−0.337157 | + | 0.941448i | \(0.609465\pi\) | |||||||
\(294\) | −4.25562 | − | 0.750381i | −0.248193 | − | 0.0437631i | ||||
\(295\) | −2.14087 | + | 3.27805i | −0.124646 | + | 0.190855i | ||||
\(296\) | −5.45079 | − | 9.44105i | −0.316821 | − | 0.548750i | ||||
\(297\) | −4.51806 | + | 1.21061i | −0.262165 | + | 0.0702468i | ||||
\(298\) | 10.2439 | − | 0.896228i | 0.593415 | − | 0.0519171i | ||||
\(299\) | −18.3553 | − | 6.68079i | −1.06152 | − | 0.386360i | ||||
\(300\) | 8.74391 | + | 25.8277i | 0.504830 | + | 1.49116i | ||||
\(301\) | −1.64885 | + | 1.38355i | −0.0950379 | + | 0.0797463i | ||||
\(302\) | 1.25932 | + | 0.881786i | 0.0724658 | + | 0.0507411i | ||||
\(303\) | 21.2986 | − | 21.2986i | 1.22357 | − | 1.22357i | ||||
\(304\) | −11.9195 | − | 2.83963i | −0.683629 | − | 0.162864i | ||||
\(305\) | 7.23819 | + | 3.09456i | 0.414458 | + | 0.177194i | ||||
\(306\) | −2.24604 | + | 0.396038i | −0.128398 | + | 0.0226400i | ||||
\(307\) | 9.48532 | + | 0.829858i | 0.541356 | + | 0.0473625i | 0.354555 | − | 0.935035i | \(-0.384632\pi\) |
0.186801 | + | 0.982398i | \(0.440188\pi\) | |||||||
\(308\) | −1.52211 | − | 0.709770i | −0.0867301 | − | 0.0404429i | ||||
\(309\) | 17.8218 | − | 48.9651i | 1.01385 | − | 2.78553i | ||||
\(310\) | 9.76510 | + | 3.20084i | 0.554620 | + | 0.181795i | ||||
\(311\) | 11.9740 | − | 20.7396i | 0.678982 | − | 1.17603i | −0.296305 | − | 0.955093i | \(-0.595755\pi\) |
0.975288 | − | 0.220939i | \(-0.0709121\pi\) | |||||||
\(312\) | 5.64941 | − | 21.0839i | 0.319835 | − | 1.19364i | ||||
\(313\) | −6.87983 | + | 4.81731i | −0.388871 | + | 0.272290i | −0.751620 | − | 0.659597i | \(-0.770727\pi\) |
0.362749 | + | 0.931887i | \(0.381838\pi\) | |||||||
\(314\) | 0.971983 | − | 5.51239i | 0.0548521 | − | 0.311082i | ||||
\(315\) | −16.9130 | + | 21.5325i | −0.952938 | + | 1.21322i | ||||
\(316\) | −7.13804 | − | 4.12115i | −0.401546 | − | 0.231833i | ||||
\(317\) | 0.300916 | + | 3.43949i | 0.0169011 | + | 0.193181i | 0.999952 | + | 0.00984528i | \(0.00313390\pi\) |
−0.983050 | + | 0.183335i | \(0.941311\pi\) | |||||||
\(318\) | −8.96264 | + | 4.17935i | −0.502600 | + | 0.234366i | ||||
\(319\) | −1.78859 | + | 0.650993i | −0.100142 | + | 0.0364486i | ||||
\(320\) | 2.26109 | + | 7.46474i | 0.126399 | + | 0.417292i | ||||
\(321\) | 0.554385 | + | 3.14407i | 0.0309427 | + | 0.175485i | ||||
\(322\) | −2.94127 | − | 2.94127i | −0.163911 | − | 0.163911i | ||||
\(323\) | 0.0983233 | + | 3.52015i | 0.00547086 | + | 0.195866i | ||||
\(324\) | 20.0030i | 1.11128i | ||||||||
\(325\) | 3.16202 | + | 20.6556i | 0.175397 | + | 1.14576i | ||||
\(326\) | 0.232296 | + | 0.276840i | 0.0128657 | + | 0.0153328i | ||||
\(327\) | 10.8112 | − | 23.1847i | 0.597861 | − | 1.28212i | ||||
\(328\) | 5.47745 | + | 11.7464i | 0.302441 | + | 0.648588i | ||||
\(329\) | 11.7408 | − | 13.9922i | 0.647293 | − | 0.771414i | ||||
\(330\) | −1.17283 | + | 0.879043i | −0.0645623 | + | 0.0483897i | ||||
\(331\) | 13.8683 | − | 8.00688i | 0.762272 | − | 0.440098i | −0.0678392 | − | 0.997696i | \(-0.521610\pi\) |
0.830111 | + | 0.557599i | \(0.188277\pi\) | |||||||
\(332\) | −8.10207 | − | 11.5710i | −0.444659 | − | 0.635038i | ||||
\(333\) | 22.6713 | + | 32.3779i | 1.24238 | + | 1.77430i | ||||
\(334\) | −5.13299 | + | 2.96353i | −0.280865 | + | 0.162157i | ||||
\(335\) | 6.72638 | + | 0.963088i | 0.367501 | + | 0.0526191i | ||||
\(336\) | −10.7870 | + | 12.8554i | −0.588477 | + | 0.701319i | ||||
\(337\) | 7.78587 | + | 16.6969i | 0.424123 | + | 0.909536i | 0.996013 | + | 0.0892052i | \(0.0284327\pi\) |
−0.571890 | + | 0.820330i | \(0.693790\pi\) | |||||||
\(338\) | 0.854932 | − | 1.83341i | 0.0465022 | − | 0.0997242i | ||||
\(339\) | −21.3191 | − | 25.4071i | −1.15789 | − | 1.37992i | ||||
\(340\) | 2.75411 | − | 1.71107i | 0.149363 | − | 0.0927956i | ||||
\(341\) | − | 4.83202i | − | 0.261668i | ||||||
\(342\) | −12.1732 | − | 1.79759i | −0.658252 | − | 0.0972028i | ||||
\(343\) | 14.0871 | + | 14.0871i | 0.760629 | + | 0.760629i | ||||
\(344\) | 0.326996 | + | 1.85449i | 0.0176304 | + | 0.0999872i | ||||
\(345\) | 30.3919 | − | 9.20580i | 1.63624 | − | 0.495624i | ||||
\(346\) | −4.46025 | + | 1.62340i | −0.239785 | + | 0.0872745i | ||||
\(347\) | −12.0762 | + | 5.63123i | −0.648285 | + | 0.302300i | −0.718807 | − | 0.695210i | \(-0.755311\pi\) |
0.0705217 | + | 0.997510i | \(0.477534\pi\) | |||||||
\(348\) | 1.89959 | + | 21.7124i | 0.101828 | + | 1.16390i | ||||
\(349\) | 14.8650 | + | 8.58233i | 0.795707 | + | 0.459401i | 0.841968 | − | 0.539528i | \(-0.181397\pi\) |
−0.0462610 | + | 0.998929i | \(0.514731\pi\) | |||||||
\(350\) | −1.24866 | + | 4.27102i | −0.0667434 | + | 0.228296i | ||||
\(351\) | −7.12749 | + | 40.4220i | −0.380437 | + | 2.15757i | ||||
\(352\) | −1.83793 | + | 1.28693i | −0.0979620 | + | 0.0685937i | ||||
\(353\) | −3.01262 | + | 11.2432i | −0.160345 | + | 0.598417i | 0.838243 | + | 0.545297i | \(0.183583\pi\) |
−0.998588 | + | 0.0531199i | \(0.983083\pi\) | |||||||
\(354\) | −1.20492 | + | 2.08699i | −0.0640409 | + | 0.110922i | ||||
\(355\) | 5.29233 | − | 2.67935i | 0.280888 | − | 0.142205i | ||||
\(356\) | −0.180705 | + | 0.496484i | −0.00957737 | + | 0.0263136i | ||||
\(357\) | 4.37113 | + | 2.03829i | 0.231345 | + | 0.107878i | ||||
\(358\) | 1.85947 | + | 0.162683i | 0.0982761 | + | 0.00859804i | ||||
\(359\) | 20.8766 | − | 3.68111i | 1.10183 | − | 0.194282i | 0.406978 | − | 0.913438i | \(-0.366583\pi\) |
0.694848 | + | 0.719156i | \(0.255472\pi\) | |||||||
\(360\) | 8.91605 | + | 22.2335i | 0.469917 | + | 1.17181i | ||||
\(361\) | −5.49164 | + | 18.1891i | −0.289034 | + | 0.957319i | ||||
\(362\) | 0.606448 | − | 0.606448i | 0.0318742 | − | 0.0318742i | ||||
\(363\) | −26.8141 | − | 18.7755i | −1.40738 | − | 0.985456i | ||||
\(364\) | −11.2897 | + | 9.47316i | −0.591740 | + | 0.496529i | ||||
\(365\) | −0.590137 | − | 0.658834i | −0.0308892 | − | 0.0344849i | ||||
\(366\) | 4.55304 | + | 1.65717i | 0.237991 | + | 0.0866218i | ||||
\(367\) | −0.325699 | + | 0.0284950i | −0.0170014 | + | 0.00148743i | −0.0956532 | − | 0.995415i | \(-0.530494\pi\) |
0.0786519 | + | 0.996902i | \(0.474938\pi\) | |||||||
\(368\) | 12.6908 | − | 3.40050i | 0.661556 | − | 0.177263i | ||||
\(369\) | −23.4961 | − | 40.6964i | −1.22316 | − | 2.11857i | ||||
\(370\) | 5.37827 | + | 3.51251i | 0.279603 | + | 0.182607i | ||||
\(371\) | 13.9028 | + | 2.45144i | 0.721797 | + | 0.127272i | ||||
\(372\) | −53.4454 | − | 14.3207i | −2.77102 | − | 0.742491i | ||||
\(373\) | −3.71828 | − | 13.8768i | −0.192525 | − | 0.718515i | −0.992894 | − | 0.119006i | \(-0.962029\pi\) |
0.800368 | − | 0.599509i | \(-0.204637\pi\) | |||||||
\(374\) | 0.133509 | + | 0.112027i | 0.00690358 | + | 0.00579279i | ||||
\(375\) | −24.2529 | − | 23.7874i | −1.25241 | − | 1.22837i | ||||
\(376\) | −5.46549 | − | 15.0163i | −0.281861 | − | 0.774407i | ||||
\(377\) | −1.45572 | + | 16.6390i | −0.0749735 | + | 0.856951i | ||||
\(378\) | −5.01340 | + | 7.15987i | −0.257861 | + | 0.368264i | ||||
\(379\) | 9.33155 | 0.479330 | 0.239665 | − | 0.970856i | \(-0.422962\pi\) | ||||
0.239665 | + | 0.970856i | \(0.422962\pi\) | |||||||
\(380\) | 17.0139 | − | 4.06949i | 0.872793 | − | 0.208761i | ||||
\(381\) | −30.5365 | −1.56443 | ||||||||
\(382\) | −2.67127 | + | 3.81496i | −0.136674 | + | 0.195191i | ||||
\(383\) | 0.679954 | − | 7.77191i | 0.0347440 | − | 0.397126i | −0.958833 | − | 0.283970i | \(-0.908348\pi\) |
0.993577 | − | 0.113156i | \(-0.0360960\pi\) | |||||||
\(384\) | 11.4337 | + | 31.4140i | 0.583476 | + | 1.60309i | ||||
\(385\) | 2.09125 | − | 0.0676101i | 0.106580 | − | 0.00344573i | ||||
\(386\) | 0.639086 | + | 0.536257i | 0.0325286 | + | 0.0272948i | ||||
\(387\) | −1.76711 | − | 6.59495i | −0.0898273 | − | 0.335240i | ||||
\(388\) | 7.17247 | + | 1.92186i | 0.364127 | + | 0.0975675i | ||||
\(389\) | 5.11375 | + | 0.901692i | 0.259277 | + | 0.0457176i | 0.301776 | − | 0.953379i | \(-0.402421\pi\) |
−0.0424983 | + | 0.999097i | \(0.513532\pi\) | |||||||
\(390\) | 2.64154 | + | 12.5876i | 0.133760 | + | 0.637396i | ||||
\(391\) | −1.88800 | − | 3.27012i | −0.0954805 | − | 0.165377i | ||||
\(392\) | 5.21305 | − | 1.39683i | 0.263299 | − | 0.0705506i | ||||
\(393\) | −35.6496 | + | 3.11894i | −1.79828 | + | 0.157330i | ||||
\(394\) | −2.88952 | − | 1.05170i | −0.145572 | − | 0.0529838i | ||||
\(395\) | 10.2531 | + | 0.563952i | 0.515890 | + | 0.0283755i | ||||
\(396\) | 4.08098 | − | 3.42435i | 0.205077 | − | 0.172080i | ||||
\(397\) | −6.74142 | − | 4.72039i | −0.338342 | − | 0.236910i | 0.392040 | − | 0.919948i | \(-0.371769\pi\) |
−0.730383 | + | 0.683038i | \(0.760658\pi\) | |||||||
\(398\) | −4.46270 | + | 4.46270i | −0.223695 | + | 0.223695i | ||||
\(399\) | 18.9069 | + | 17.8794i | 0.946529 | + | 0.895090i | ||||
\(400\) | −9.71112 | − | 10.1609i | −0.485556 | − | 0.508044i | ||||
\(401\) | 1.97650 | − | 0.348511i | 0.0987019 | − | 0.0174038i | −0.124079 | − | 0.992272i | \(-0.539598\pi\) |
0.222781 | + | 0.974869i | \(0.428487\pi\) | |||||||
\(402\) | 4.16644 | + | 0.364517i | 0.207803 | + | 0.0181804i | ||||
\(403\) | −38.4293 | − | 17.9199i | −1.91430 | − | 0.892652i | ||||
\(404\) | −6.08534 | + | 16.7193i | −0.302757 | + | 0.831818i | ||||
\(405\) | −11.2562 | − | 22.2336i | −0.559326 | − | 1.10480i | ||||
\(406\) | −1.77839 | + | 3.08026i | −0.0882600 | + | 0.152871i | ||||
\(407\) | 0.781755 | − | 2.91755i | 0.0387501 | − | 0.144617i | ||||
\(408\) | 3.45643 | − | 2.42022i | 0.171119 | − | 0.119819i | ||||
\(409\) | −2.66460 | + | 15.1117i | −0.131756 | + | 0.747224i | 0.845308 | + | 0.534279i | \(0.179417\pi\) |
−0.977064 | + | 0.212945i | \(0.931694\pi\) | |||||||
\(410\) | −6.00586 | − | 4.71737i | −0.296608 | − | 0.232974i | ||||
\(411\) | 49.4352 | + | 28.5414i | 2.43846 | + | 1.40784i | ||||
\(412\) | 2.68264 | + | 30.6628i | 0.132164 | + | 1.51065i | ||||
\(413\) | 3.11785 | − | 1.45388i | 0.153419 | − | 0.0715406i | ||||
\(414\) | 12.3987 | − | 4.51277i | 0.609364 | − | 0.221791i | ||||
\(415\) | 15.5168 | + | 8.30202i | 0.761691 | + | 0.407530i | ||||
\(416\) | 3.41895 | + | 19.3898i | 0.167628 | + | 0.950663i | ||||
\(417\) | −22.4009 | − | 22.4009i | −1.09698 | − | 1.09698i | ||||
\(418\) | 0.492717 | + | 0.800902i | 0.0240996 | + | 0.0391734i | ||||
\(419\) | − | 5.33874i | − | 0.260814i | −0.991461 | − | 0.130407i | \(-0.958372\pi\) | ||
0.991461 | − | 0.130407i | \(-0.0416284\pi\) | |||||||
\(420\) | 5.45002 | − | 23.3310i | 0.265934 | − | 1.13844i | ||||
\(421\) | 6.17855 | + | 7.36331i | 0.301124 | + | 0.358866i | 0.895295 | − | 0.445473i | \(-0.146964\pi\) |
−0.594171 | + | 0.804338i | \(0.702520\pi\) | |||||||
\(422\) | 2.11219 | − | 4.52961i | 0.102820 | − | 0.220498i | ||||
\(423\) | 24.4862 | + | 52.5108i | 1.19056 | + | 2.55316i | ||||
\(424\) | 7.93897 | − | 9.46129i | 0.385550 | − | 0.459481i | ||||
\(425\) | −2.09837 | + | 3.45168i | −0.101786 | + | 0.167431i | ||||
\(426\) | 3.16198 | − | 1.82557i | 0.153198 | − | 0.0884491i | ||||
\(427\) | −3.96732 | − | 5.66592i | −0.191992 | − | 0.274193i | ||||
\(428\) | −1.08168 | − | 1.54480i | −0.0522850 | − | 0.0746707i | ||||
\(429\) | 5.23748 | − | 3.02386i | 0.252868 | − | 0.145993i | ||||
\(430\) | −0.665477 | − | 0.887889i | −0.0320922 | − | 0.0428178i | ||||
\(431\) | 1.69479 | − | 2.01978i | 0.0816354 | − | 0.0972892i | −0.723681 | − | 0.690135i | \(-0.757551\pi\) |
0.805316 | + | 0.592846i | \(0.201996\pi\) | |||||||
\(432\) | −11.6677 | − | 25.0215i | −0.561363 | − | 1.20385i | ||||
\(433\) | 8.66419 | − | 18.5804i | 0.416375 | − | 0.892918i | −0.580526 | − | 0.814242i | \(-0.697153\pi\) |
0.996900 | − | 0.0786761i | \(-0.0250693\pi\) | |||||||
\(434\) | −5.80401 | − | 6.91695i | −0.278601 | − | 0.332024i | ||||
\(435\) | −14.3295 | − | 23.0646i | −0.687048 | − | 1.10586i | ||||
\(436\) | 15.1110i | 0.723684i | ||||||||
\(437\) | −4.09655 | − | 19.9569i | −0.195965 | − | 0.954670i | ||||
\(438\) | −0.384956 | − | 0.384956i | −0.0183939 | − | 0.0183939i | ||||
\(439\) | 6.25393 | + | 35.4678i | 0.298484 | + | 1.69279i | 0.652696 | + | 0.757620i | \(0.273638\pi\) |
−0.354212 | + | 0.935165i | \(0.615251\pi\) | |||||||
\(440\) | 0.863565 | − | 1.61404i | 0.0411689 | − | 0.0769463i | ||||
\(441\) | −18.3878 | + | 6.69259i | −0.875607 | + | 0.318695i | ||||
\(442\) | 1.38608 | − | 0.646341i | 0.0659293 | − | 0.0307433i | ||||
\(443\) | 1.89203 | + | 21.6260i | 0.0898931 | + | 1.02748i | 0.898453 | + | 0.439069i | \(0.144692\pi\) |
−0.808560 | + | 0.588414i | \(0.799753\pi\) | |||||||
\(444\) | −29.9532 | − | 17.2935i | −1.42152 | − | 0.820712i | ||||
\(445\) | −0.0785280 | − | 0.653536i | −0.00372258 | − | 0.0309806i | ||||
\(446\) | −0.0164512 | + | 0.0932993i | −0.000778986 | + | 0.00441785i | ||||
\(447\) | 56.5041 | − | 39.5646i | 2.67255 | − | 1.87134i | ||||
\(448\) | 1.77377 | − | 6.61978i | 0.0838025 | − | 0.312755i | ||||
\(449\) | 4.13533 | − | 7.16260i | 0.195158 | − | 0.338024i | −0.751794 | − | 0.659398i | \(-0.770811\pi\) |
0.946952 | + | 0.321374i | \(0.104145\pi\) | |||||||
\(450\) | −10.6047 | − | 9.31532i | −0.499910 | − | 0.439128i | ||||
\(451\) | −1.22819 | + | 3.37443i | −0.0578333 | + | 0.158896i | ||||
\(452\) | 17.7559 | + | 8.27972i | 0.835168 | + | 0.389445i | ||||
\(453\) | 10.2733 | + | 0.898795i | 0.482680 | + | 0.0422291i | ||||
\(454\) | 8.41356 | − | 1.48354i | 0.394868 | − | 0.0696259i | ||||
\(455\) | 7.21783 | − | 16.8825i | 0.338377 | − | 0.791466i | ||||
\(456\) | 21.8172 | − | 6.50396i | 1.02168 | − | 0.304576i | ||||
\(457\) | −11.1032 | + | 11.1032i | −0.519384 | + | 0.519384i | −0.917385 | − | 0.398001i | \(-0.869704\pi\) |
0.398001 | + | 0.917385i | \(0.369704\pi\) | |||||||
\(458\) | −0.676497 | − | 0.473688i | −0.0316106 | − | 0.0221340i | ||||
\(459\) | −6.07823 | + | 5.10024i | −0.283708 | + | 0.238059i | ||||
\(460\) | −13.9723 | + | 12.5154i | −0.651463 | + | 0.583535i | ||||
\(461\) | −20.8249 | − | 7.57966i | −0.969914 | − | 0.353020i | −0.192003 | − | 0.981394i | \(-0.561498\pi\) |
−0.777911 | + | 0.628374i | \(0.783721\pi\) | |||||||
\(462\) | 1.28295 | − | 0.112244i | 0.0596883 | − | 0.00522205i | ||||
\(463\) | 6.40852 | − | 1.71716i | 0.297829 | − | 0.0798031i | −0.106810 | − | 0.994279i | \(-0.534064\pi\) |
0.404639 | + | 0.914476i | \(0.367397\pi\) | |||||||
\(464\) | −5.61724 | − | 9.72935i | −0.260774 | − | 0.451674i | ||||
\(465\) | 67.4639 | − | 14.1575i | 3.12856 | − | 0.656539i | ||||
\(466\) | −8.07516 | − | 1.42387i | −0.374074 | − | 0.0659594i | ||||
\(467\) | 36.5016 | + | 9.78057i | 1.68909 | + | 0.452591i | 0.970155 | − | 0.242485i | \(-0.0779626\pi\) |
0.718936 | + | 0.695076i | \(0.244629\pi\) | |||||||
\(468\) | −12.0994 | − | 45.1557i | −0.559296 | − | 2.08732i | ||||
\(469\) | −4.57368 | − | 3.83777i | −0.211193 | − | 0.177212i | ||||
\(470\) | 6.86986 | + | 6.43956i | 0.316883 | + | 0.297035i | ||||
\(471\) | −12.8420 | − | 35.2831i | −0.591728 | − | 1.62576i | ||||
\(472\) | 0.262314 | − | 2.99826i | 0.0120740 | − | 0.138006i | ||||
\(473\) | −0.299260 | + | 0.427387i | −0.0137600 | + | 0.0196513i | ||||
\(474\) | 6.32040 | 0.290306 | ||||||||
\(475\) | −16.6211 | + | 14.0974i | −0.762630 | + | 0.646835i | ||||
\(476\) | −2.84895 | −0.130581 | ||||||||
\(477\) | −25.6852 | + | 36.6823i | −1.17604 | + | 1.67957i | ||||
\(478\) | −1.19211 | + | 13.6259i | −0.0545260 | + | 0.623235i | ||||
\(479\) | 4.30184 | + | 11.8192i | 0.196556 | + | 0.540033i | 0.998341 | − | 0.0575797i | \(-0.0183383\pi\) |
−0.801785 | + | 0.597613i | \(0.796116\pi\) | |||||||
\(480\) | −23.3530 | − | 21.8903i | −1.06591 | − | 0.999149i | ||||
\(481\) | −20.3042 | − | 17.0372i | −0.925792 | − | 0.776832i | ||||
\(482\) | −2.69128 | − | 10.0440i | −0.122585 | − | 0.457492i | ||||
\(483\) | −26.9517 | − | 7.22170i | −1.22635 | − | 0.328599i | ||||
\(484\) | 19.0422 | + | 3.35766i | 0.865555 | + | 0.152621i | ||||
\(485\) | −9.05377 | + | 1.89996i | −0.411111 | + | 0.0862729i | ||||
\(486\) | −0.996369 | − | 1.72576i | −0.0451962 | − | 0.0782822i | ||||
\(487\) | −24.7641 | + | 6.63552i | −1.12217 | + | 0.300684i | −0.771761 | − | 0.635913i | \(-0.780624\pi\) |
−0.350408 | + | 0.936597i | \(0.613957\pi\) | |||||||
\(488\) | −6.02832 | + | 0.527410i | −0.272889 | + | 0.0238747i | ||||
\(489\) | 2.27800 | + | 0.829124i | 0.103015 | + | 0.0374943i | ||||
\(490\) | −2.36877 | + | 2.12178i | −0.107010 | + | 0.0958523i | ||||
\(491\) | 26.2335 | − | 22.0125i | 1.18390 | − | 0.993410i | 0.183955 | − | 0.982935i | \(-0.441110\pi\) |
0.999945 | − | 0.0104757i | \(-0.00333458\pi\) | |||||||
\(492\) | 33.6835 | + | 23.5855i | 1.51857 | + | 1.06331i | ||||
\(493\) | −2.28310 | + | 2.28310i | −0.102826 | + | 0.102826i | ||||
\(494\) | 8.19688 | − | 0.948404i | 0.368795 | − | 0.0426707i | ||||
\(495\) | −2.60910 | + | 6.10269i | −0.117270 | + | 0.274295i | ||||
\(496\) | 28.0872 | − | 4.95253i | 1.26115 | − | 0.222375i | ||||
\(497\) | −5.19233 | − | 0.454270i | −0.232908 | − | 0.0203768i | ||||
\(498\) | 9.81695 | + | 4.57772i | 0.439908 | + | 0.205132i | ||||
\(499\) | −9.81630 | + | 26.9701i | −0.439438 | + | 1.20735i | 0.500421 | + | 0.865782i | \(0.333179\pi\) |
−0.939859 | + | 0.341563i | \(0.889044\pi\) | |||||||
\(500\) | 18.9222 | + | 6.68020i | 0.846226 | + | 0.298747i | ||||
\(501\) | −19.8794 | + | 34.4321i | −0.888144 | + | 1.53831i | ||||
\(502\) | 0.410179 | − | 1.53081i | 0.0183072 | − | 0.0683233i | ||||
\(503\) | 8.81131 | − | 6.16974i | 0.392877 | − | 0.275095i | −0.360401 | − | 0.932797i | \(-0.617360\pi\) |
0.753278 | + | 0.657702i | \(0.228471\pi\) | |||||||
\(504\) | 3.65496 | − | 20.7283i | 0.162805 | − | 0.923312i | ||||
\(505\) | −2.64447 | − | 22.0081i | −0.117677 | − | 0.979349i | ||||
\(506\) | −0.873196 | − | 0.504140i | −0.0388183 | − | 0.0224118i | ||||
\(507\) | −1.18269 | − | 13.5182i | −0.0525252 | − | 0.600366i | ||||
\(508\) | 16.3479 | − | 7.62315i | 0.725320 | − | 0.338222i | ||||
\(509\) | −25.8598 | + | 9.41220i | −1.14622 | + | 0.417188i | −0.844154 | − | 0.536100i | \(-0.819897\pi\) |
−0.302061 | + | 0.953288i | \(0.597675\pi\) | |||||||
\(510\) | −1.17293 | + | 2.19226i | −0.0519384 | + | 0.0970750i | ||||
\(511\) | 0.134954 | + | 0.765364i | 0.00597003 | + | 0.0338577i | ||||
\(512\) | −16.1978 | − | 16.1978i | −0.715846 | − | 0.715846i | ||||
\(513\) | −39.8038 | + | 15.7594i | −1.75738 | + | 0.695795i | ||||
\(514\) | 1.91472i | 0.0844547i | ||||||||
\(515\) | −20.2365 | − | 32.5725i | −0.891728 | − | 1.43532i | ||||
\(516\) | 3.84028 | + | 4.57667i | 0.169059 | + | 0.201476i | ||||
\(517\) | 1.87116 | − | 4.01271i | 0.0822935 | − | 0.176479i | ||||
\(518\) | −2.38536 | − | 5.11543i | −0.104807 | − | 0.224759i | ||||
\(519\) | −20.4660 | + | 24.3905i | −0.898360 | + | 1.07062i | ||||
\(520\) | −9.63394 | − | 12.8537i | −0.422476 | − | 0.563674i | ||||
\(521\) | 29.9147 | − | 17.2713i | 1.31059 | − | 0.756669i | 0.328395 | − | 0.944540i | \(-0.393492\pi\) |
0.982194 | + | 0.187871i | \(0.0601588\pi\) | |||||||
\(522\) | −6.47127 | − | 9.24192i | −0.283240 | − | 0.404508i | ||||
\(523\) | −18.9785 | − | 27.1041i | −0.829870 | − | 1.18518i | −0.980487 | − | 0.196585i | \(-0.937015\pi\) |
0.150616 | − | 0.988592i | \(-0.451874\pi\) | |||||||
\(524\) | 18.3066 | − | 10.5693i | 0.799728 | − | 0.461723i | ||||
\(525\) | 7.07120 | + | 28.9996i | 0.308612 | + | 1.26565i | ||||
\(526\) | −5.12870 | + | 6.11214i | −0.223622 | + | 0.266502i | ||||
\(527\) | −3.46411 | − | 7.42880i | −0.150899 | − | 0.323604i | ||||
\(528\) | −1.71914 | + | 3.68670i | −0.0748158 | + | 0.160443i | ||||
\(529\) | −0.742222 | − | 0.884546i | −0.0322705 | − | 0.0384585i | ||||
\(530\) | −1.65546 | + | 7.08684i | −0.0719084 | + | 0.307833i | ||||
\(531\) | 10.9124i | 0.473558i | ||||||||
\(532\) | −14.5853 | − | 4.85191i | −0.632355 | − | 0.210357i | ||||
\(533\) | 22.2822 | + | 22.2822i | 0.965148 | + | 0.965148i | ||||
\(534\) | −0.0703535 | − | 0.398995i | −0.00304449 | − | 0.0172662i | ||||
\(535\) | 2.07160 | + | 1.10838i | 0.0895631 | + | 0.0479193i | ||||
\(536\) | −4.90844 | + | 1.78653i | −0.212012 | + | 0.0771661i | ||||
\(537\) | 11.3478 | − | 5.29159i | 0.489696 | − | 0.228349i | ||||
\(538\) | −0.515753 | − | 5.89509i | −0.0222357 | − | 0.254155i | ||||
\(539\) | 1.29498 | + | 0.747657i | 0.0557787 | + | 0.0322039i | ||||
\(540\) | 30.9976 | + | 24.3474i | 1.33392 | + | 1.04775i | ||||
\(541\) | −5.47144 | + | 31.0301i | −0.235235 | + | 1.33409i | 0.606882 | + | 0.794792i | \(0.292420\pi\) |
−0.842117 | + | 0.539294i | \(0.818691\pi\) | |||||||
\(542\) | −5.16876 | + | 3.61921i | −0.222017 | + | 0.155458i | ||||
\(543\) | 1.48901 | − | 5.55706i | 0.0638995 | − | 0.238476i | ||||
\(544\) | −1.90304 | + | 3.29617i | −0.0815924 | + | 0.141322i | ||||
\(545\) | −8.50334 | − | 16.7960i | −0.364243 | − | 0.719464i | ||||
\(546\) | 3.86523 | − | 10.6196i | 0.165417 | − | 0.454478i | ||||
\(547\) | 31.4152 | + | 14.6492i | 1.34322 | + | 0.626352i | 0.955381 | − | 0.295376i | \(-0.0954449\pi\) |
0.387836 | + | 0.921728i | \(0.373223\pi\) | |||||||
\(548\) | −33.5905 | − | 2.93879i | −1.43491 | − | 0.125539i | ||||
\(549\) | 21.6072 | − | 3.80994i | 0.922173 | − | 0.162604i | ||||
\(550\) | −0.0244062 | + | 1.07835i | −0.00104068 | + | 0.0459811i | ||||
\(551\) | −15.5767 | + | 7.80020i | −0.663589 | + | 0.332300i | ||||
\(552\) | −17.2613 | + | 17.2613i | −0.734690 | + | 0.734690i | ||||
\(553\) | −7.39093 | − | 5.17519i | −0.314294 | − | 0.220071i | ||||
\(554\) | −5.67119 | + | 4.75869i | −0.240946 | + | 0.202177i | ||||
\(555\) | 43.0249 | + | 2.36650i | 1.82630 | + | 0.100452i | ||||
\(556\) | 17.5846 | + | 6.40029i | 0.745755 | + | 0.271433i | ||||
\(557\) | −17.5353 | + | 1.53414i | −0.742996 | + | 0.0650037i | −0.452367 | − | 0.891832i | \(-0.649420\pi\) |
−0.290629 | + | 0.956836i | \(0.593865\pi\) | |||||||
\(558\) | 27.6659 | − | 7.41307i | 1.17119 | − | 0.313820i | ||||
\(559\) | 2.28921 | + | 3.96502i | 0.0968231 | + | 0.167703i | ||||
\(560\) | 2.53641 | + | 12.0866i | 0.107183 | + | 0.510751i | ||||
\(561\) | 1.15133 | + | 0.203011i | 0.0486092 | + | 0.00857111i | ||||
\(562\) | 12.6564 | + | 3.39128i | 0.533879 | + | 0.143053i | ||||
\(563\) | 8.16017 | + | 30.4542i | 0.343910 | + | 1.28349i | 0.893880 | + | 0.448306i | \(0.147973\pi\) |
−0.549970 | + | 0.835184i | \(0.685361\pi\) | |||||||
\(564\) | −38.8378 | − | 32.5888i | −1.63537 | − | 1.37223i | ||||
\(565\) | −24.3951 | + | 0.788695i | −1.02631 | + | 0.0331806i | ||||
\(566\) | 2.97254 | + | 8.16699i | 0.124945 | + | 0.343284i | ||||
\(567\) | −1.90844 | + | 21.8135i | −0.0801469 | + | 0.916083i | ||||
\(568\) | −2.61551 | + | 3.73533i | −0.109744 | + | 0.156731i | ||||
\(569\) | −1.63769 | −0.0686556 | −0.0343278 | − | 0.999411i | \(-0.510929\pi\) | ||||
−0.0343278 | + | 0.999411i | \(0.510929\pi\) | |||||||
\(570\) | −9.73844 | + | 9.22584i | −0.407898 | + | 0.386428i | ||||
\(571\) | 24.8017 | 1.03792 | 0.518959 | − | 0.854799i | \(-0.326320\pi\) | ||||
0.518959 | + | 0.854799i | \(0.326320\pi\) | |||||||
\(572\) | −2.04904 | + | 2.92633i | −0.0856745 | + | 0.122356i | ||||
\(573\) | −2.72279 | + | 31.1217i | −0.113746 | + | 1.30013i | ||||
\(574\) | 2.29508 | + | 6.30569i | 0.0957949 | + | 0.263194i | ||||
\(575\) | 8.48768 | − | 21.7737i | 0.353961 | − | 0.908024i | ||||
\(576\) | 16.6531 | + | 13.9736i | 0.693879 | + | 0.582234i | ||||
\(577\) | −11.1898 | − | 41.7607i | −0.465835 | − | 1.73852i | −0.654104 | − | 0.756404i | \(-0.726954\pi\) |
0.188269 | − | 0.982118i | \(-0.439712\pi\) | |||||||
\(578\) | −7.15242 | − | 1.91648i | −0.297501 | − | 0.0797152i | ||||
\(579\) | 5.51125 | + | 0.971781i | 0.229040 | + | 0.0403858i | ||||
\(580\) | 13.4293 | + | 8.77055i | 0.557620 | + | 0.364177i | ||||
\(581\) | −7.73145 | − | 13.3913i | −0.320755 | − | 0.555563i | ||||
\(582\) | −5.50002 | + | 1.47373i | −0.227983 | + | 0.0610880i | ||||
\(583\) | 3.40899 | − | 0.298248i | 0.141186 | − | 0.0123522i | ||||
\(584\) | 0.638923 | + | 0.232549i | 0.0264388 | + | 0.00962294i | ||||
\(585\) | 38.8589 | + | 43.3825i | 1.60662 | + | 1.79364i | ||||
\(586\) | −0.974129 | + | 0.817392i | −0.0402409 | + | 0.0337661i | ||||
\(587\) | −22.9473 | − | 16.0679i | −0.947138 | − | 0.663193i | −0.00555837 | − | 0.999985i | \(-0.501769\pi\) |
−0.941579 | + | 0.336792i | \(0.890658\pi\) | |||||||
\(588\) | 12.1075 | − | 12.1075i | 0.499306 | − | 0.499306i | ||||
\(589\) | −5.08303 | − | 43.9317i | −0.209443 | − | 1.81018i | ||||
\(590\) | 0.660088 | + | 1.64603i | 0.0271754 | + | 0.0677659i | ||||
\(591\) | −20.3134 | + | 3.58181i | −0.835583 | + | 0.147336i | ||||
\(592\) | 17.7602 | + | 1.55381i | 0.729938 | + | 0.0638613i | ||||
\(593\) | 37.6638 | + | 17.5629i | 1.54667 | + | 0.721223i | 0.993710 | − | 0.111985i | \(-0.0357209\pi\) |
0.552959 | + | 0.833209i | \(0.313499\pi\) | |||||||
\(594\) | −0.724641 | + | 1.99094i | −0.0297324 | + | 0.0816891i | ||||
\(595\) | 3.16664 | − | 1.60318i | 0.129820 | − | 0.0657238i | ||||
\(596\) | −20.3729 | + | 35.2868i | −0.834505 | + | 1.44540i | ||||
\(597\) | −10.9573 | + | 40.8930i | −0.448451 | + | 1.67364i | ||||
\(598\) | −7.24775 | + | 5.07493i | −0.296383 | + | 0.207529i | ||||
\(599\) | 6.78798 | − | 38.4965i | 0.277349 | − | 1.57293i | −0.454050 | − | 0.890976i | \(-0.650021\pi\) |
0.731399 | − | 0.681949i | \(-0.238868\pi\) | |||||||
\(600\) | 25.0652 | + | 7.32793i | 1.02328 | + | 0.299161i | ||||
\(601\) | −10.8442 | − | 6.26090i | −0.442344 | − | 0.255388i | 0.262247 | − | 0.965001i | \(-0.415536\pi\) |
−0.704592 | + | 0.709613i | \(0.748870\pi\) | |||||||
\(602\) | 0.0849738 | + | 0.971255i | 0.00346327 | + | 0.0395854i | ||||
\(603\) | 17.1644 | − | 8.00389i | 0.698988 | − | 0.325943i | ||||
\(604\) | −5.72423 | + | 2.08345i | −0.232916 | + | 0.0847743i | ||||
\(605\) | −23.0551 | + | 6.98347i | −0.937324 | + | 0.283918i | ||||
\(606\) | −2.36919 | − | 13.4363i | −0.0962417 | − | 0.545814i | ||||
\(607\) | 4.99686 | + | 4.99686i | 0.202816 | + | 0.202816i | 0.801206 | − | 0.598389i | \(-0.204192\pi\) |
−0.598389 | + | 0.801206i | \(0.704192\pi\) | |||||||
\(608\) | −15.3563 | + | 13.6339i | −0.622780 | + | 0.552929i | ||||
\(609\) | 23.8588i | 0.966809i | ||||||||
\(610\) | 3.02877 | − | 1.88170i | 0.122631 | − | 0.0761880i | ||||
\(611\) | −24.9740 | − | 29.7628i | −1.01034 | − | 1.20407i | ||||
\(612\) | 3.81921 | − | 8.19033i | 0.154382 | − | 0.331074i | ||||
\(613\) | 19.1572 | + | 41.0827i | 0.773750 | + | 1.65931i | 0.751655 | + | 0.659557i | \(0.229256\pi\) |
0.0220954 | + | 0.999756i | \(0.492966\pi\) | |||||||
\(614\) | 2.77229 | − | 3.30388i | 0.111880 | − | 0.133334i | ||||
\(615\) | −50.7118 | − | 7.26096i | −2.04490 | − | 0.292790i | ||||
\(616\) | −1.39294 | + | 0.804215i | −0.0561232 | + | 0.0324027i | ||||
\(617\) | 0.516710 | + | 0.737938i | 0.0208019 | + | 0.0297083i | 0.829418 | − | 0.558628i | \(-0.188672\pi\) |
−0.808616 | + | 0.588336i | \(0.799783\pi\) | |||||||
\(618\) | −13.5380 | − | 19.3343i | −0.544578 | − | 0.777738i | ||||
\(619\) | −14.0597 | + | 8.11739i | −0.565108 | + | 0.326266i | −0.755193 | − | 0.655502i | \(-0.772457\pi\) |
0.190085 | + | 0.981768i | \(0.439124\pi\) | |||||||
\(620\) | −32.5829 | + | 24.4210i | −1.30856 | + | 0.980772i | ||||
\(621\) | 29.5064 | − | 35.1643i | 1.18405 | − | 1.41110i | ||||
\(622\) | −4.58437 | − | 9.83122i | −0.183817 | − | 0.394196i | ||||
\(623\) | −0.244430 | + | 0.524181i | −0.00979287 | + | 0.0210009i | ||||
\(624\) | 22.9450 | + | 27.3447i | 0.918534 | + | 1.09467i | ||||
\(625\) | −24.7914 | + | 3.22288i | −0.991656 | + | 0.128915i | ||||
\(626\) | 3.80431i | 0.152051i | ||||||||
\(627\) | 5.54856 | + | 3.00010i | 0.221588 | + | 0.119813i | ||||
\(628\) | 15.6831 | + | 15.6831i | 0.625825 | + | 0.625825i | ||||
\(629\) | −0.889732 | − | 5.04592i | −0.0354759 | − | 0.201194i | ||||
\(630\) | 3.59541 | + | 11.8698i | 0.143244 | + | 0.472905i | ||||
\(631\) | −28.4762 | + | 10.3645i | −1.13362 | + | 0.412603i | −0.839604 | − | 0.543198i | \(-0.817213\pi\) |
−0.294013 | + | 0.955801i | \(0.594991\pi\) | |||||||
\(632\) | −7.15412 | + | 3.33602i | −0.284576 | + | 0.132700i | ||||
\(633\) | −2.92196 | − | 33.3981i | −0.116137 | − | 1.32746i | ||||
\(634\) | 1.35439 | + | 0.781955i | 0.0537896 | + | 0.0310554i | ||||
\(635\) | −13.8812 | + | 17.6726i | −0.550857 | + | 0.701316i | ||||
\(636\) | 6.80440 | − | 38.5897i | 0.269812 | − | 1.53018i | ||||
\(637\) | 10.7487 | − | 7.52630i | 0.425878 | − | 0.298203i | ||||
\(638\) | −0.223143 | + | 0.832782i | −0.00883433 | + | 0.0329702i | ||||
\(639\) | 8.26665 | − | 14.3183i | 0.327024 | − | 0.566422i | ||||
\(640\) | 23.3779 | + | 7.66289i | 0.924094 | + | 0.302902i | ||||
\(641\) | −10.4710 | + | 28.7688i | −0.413580 | + | 1.13630i | 0.541694 | + | 0.840576i | \(0.317783\pi\) |
−0.955273 | + | 0.295725i | \(0.904439\pi\) | |||||||
\(642\) | 1.31063 | + | 0.611156i | 0.0517264 | + | 0.0241204i | ||||
\(643\) | −1.33347 | − | 0.116664i | −0.0525870 | − | 0.00460077i | 0.0608319 | − | 0.998148i | \(-0.480625\pi\) |
−0.113419 | + | 0.993547i | \(0.536180\pi\) | |||||||
\(644\) | 16.2316 | − | 2.86207i | 0.639614 | − | 0.112781i | ||||
\(645\) | −6.84393 | − | 2.92600i | −0.269479 | − | 0.115211i | ||||
\(646\) | 1.33168 | + | 0.878084i | 0.0523943 | + | 0.0345478i | ||||
\(647\) | −3.23855 | + | 3.23855i | −0.127320 | + | 0.127320i | −0.767896 | − | 0.640575i | \(-0.778696\pi\) |
0.640575 | + | 0.767896i | \(0.278696\pi\) | |||||||
\(648\) | 15.6925 | + | 10.9880i | 0.616460 | + | 0.431650i | ||||
\(649\) | 0.638799 | − | 0.536016i | 0.0250751 | − | 0.0210405i | ||||
\(650\) | 8.48568 | + | 4.19325i | 0.332836 | + | 0.164473i | ||||
\(651\) | −56.9166 | − | 20.7160i | −2.23074 | − | 0.811922i | ||||
\(652\) | −1.42652 | + | 0.124804i | −0.0558669 | + | 0.00488772i | ||||
\(653\) | −0.697739 | + | 0.186959i | −0.0273047 | + | 0.00731626i | −0.272446 | − | 0.962171i | \(-0.587832\pi\) |
0.245141 | + | 0.969487i | \(0.421166\pi\) | |||||||
\(654\) | −5.79373 | − | 10.0350i | −0.226553 | − | 0.392401i | ||||
\(655\) | −14.4004 | + | 22.0495i | −0.562670 | + | 0.861547i | ||||
\(656\) | −20.8735 | − | 3.68056i | −0.814972 | − | 0.143702i | ||||
\(657\) | −2.38123 | − | 0.638049i | −0.0929006 | − | 0.0248927i | ||||
\(658\) | −2.14136 | − | 7.99168i | −0.0834791 | − | 0.311548i | ||||
\(659\) | −1.32005 | − | 1.10766i | −0.0514220 | − | 0.0431482i | 0.616714 | − | 0.787187i | \(-0.288463\pi\) |
−0.668136 | + | 0.744039i | \(0.732908\pi\) | |||||||
\(660\) | −0.187664 | − | 5.80463i | −0.00730480 | − | 0.225945i | ||||
\(661\) | −12.2612 | − | 33.6874i | −0.476905 | − | 1.31029i | −0.912106 | − | 0.409954i | \(-0.865545\pi\) |
0.435201 | − | 0.900333i | \(-0.356677\pi\) | |||||||
\(662\) | 0.632196 | − | 7.22603i | 0.0245710 | − | 0.280848i | ||||
\(663\) | 5.88434 | − | 8.40370i | 0.228529 | − | 0.326373i | ||||
\(664\) | −13.5281 | −0.524992 | ||||||||
\(665\) | 18.9421 | − | 2.81458i | 0.734543 | − | 0.109145i | ||||
\(666\) | 17.9039 | 0.693762 | ||||||||
\(667\) | 10.7141 | − | 15.3013i | 0.414852 | − | 0.592470i | ||||
\(668\) | 2.04689 | − | 23.3961i | 0.0791966 | − | 0.905222i | ||||
\(669\) | 0.217356 | + | 0.597180i | 0.00840346 | + | 0.0230883i | ||||
\(670\) | 2.10492 | − | 2.24557i | 0.0813203 | − | 0.0867541i | ||||
\(671\) | −1.28437 | − | 1.07772i | −0.0495826 | − | 0.0416048i | ||||
\(672\) | 7.27922 | + | 27.1664i | 0.280802 | + | 1.04797i | ||||
\(673\) | −12.6585 | − | 3.39184i | −0.487950 | − | 0.130746i | 0.00645186 | − | 0.999979i | \(-0.497946\pi\) |
−0.494402 | + | 0.869233i | \(0.664613\pi\) | |||||||
\(674\) | 8.21813 | + | 1.44908i | 0.316551 | + | 0.0558164i | ||||
\(675\) | −48.1552 | − | 9.61934i | −1.85349 | − | 0.370248i | ||||
\(676\) | 4.00786 | + | 6.94182i | 0.154148 | + | 0.266993i | ||||
\(677\) | 7.08859 | − | 1.89938i | 0.272437 | − | 0.0729992i | −0.120014 | − | 0.992772i | \(-0.538294\pi\) |
0.392451 | + | 0.919773i | \(0.371627\pi\) | |||||||
\(678\) | −14.9661 | + | 1.30936i | −0.574768 | + | 0.0502857i | ||||
\(679\) | 7.63830 | + | 2.78012i | 0.293131 | + | 0.106691i | ||||
\(680\) | 0.170539 | − | 3.10054i | 0.00653988 | − | 0.118900i | ||||
\(681\) | 43.9011 | − | 36.8374i | 1.68229 | − | 1.41161i | ||||
\(682\) | −1.79290 | − | 1.25540i | −0.0686537 | − | 0.0480718i | ||||
\(683\) | 29.0355 | − | 29.0355i | 1.11101 | − | 1.11101i | 0.117997 | − | 0.993014i | \(-0.462353\pi\) |
0.993014 | − | 0.117997i | \(-0.0376472\pi\) | |||||||
\(684\) | 33.5012 | − | 35.4265i | 1.28095 | − | 1.35457i | ||||
\(685\) | 38.9900 | − | 15.6357i | 1.48973 | − | 0.597411i | ||||
\(686\) | 8.88688 | − | 1.56700i | 0.339303 | − | 0.0598282i | ||||
\(687\) | −5.51872 | − | 0.482825i | −0.210552 | − | 0.0184209i | ||||
\(688\) | −2.79101 | − | 1.30147i | −0.106406 | − | 0.0496180i | ||||
\(689\) | 10.2705 | − | 28.2179i | 0.391274 | − | 1.07502i | ||||
\(690\) | 4.48031 | − | 13.6685i | 0.170563 | − | 0.520352i | ||||
\(691\) | 7.26116 | − | 12.5767i | 0.276228 | − | 0.478440i | −0.694217 | − | 0.719766i | \(-0.744249\pi\) |
0.970444 | + | 0.241326i | \(0.0775823\pi\) | |||||||
\(692\) | 4.86776 | − | 18.1667i | 0.185044 | − | 0.690595i | ||||
\(693\) | 4.77707 | − | 3.34494i | 0.181466 | − | 0.127064i | ||||
\(694\) | −1.04806 | + | 5.94387i | −0.0397840 | + | 0.225626i | ||||
\(695\) | −23.1472 | + | 2.78133i | −0.878022 | + | 0.105502i | ||||
\(696\) | 18.0770 | + | 10.4368i | 0.685206 | + | 0.395604i | ||||
\(697\) | 0.530916 | + | 6.06839i | 0.0201099 | + | 0.229857i | ||||
\(698\) | 7.04650 | − | 3.28584i | 0.266714 | − | 0.124371i | ||||
\(699\) | −51.6866 | + | 18.8124i | −1.95497 | + | 0.711550i | ||||
\(700\) | −11.0251 | − | 13.7598i | −0.416709 | − | 0.520073i | ||||
\(701\) | 6.45153 | + | 36.5885i | 0.243671 | + | 1.38193i | 0.823559 | + | 0.567231i | \(0.191985\pi\) |
−0.579888 | + | 0.814696i | \(0.696904\pi\) | |||||||
\(702\) | 13.1466 | + | 13.1466i | 0.496187 | + | 0.496187i | ||||
\(703\) | 4.03845 | − | 27.3481i | 0.152313 | − | 1.03145i | ||||
\(704\) | − | 1.66123i | − | 0.0626101i | ||||||
\(705\) | 61.5073 | + | 14.3678i | 2.31650 | + | 0.541124i | ||||
\(706\) | 3.38905 | + | 4.03891i | 0.127549 | + | 0.152006i | ||||
\(707\) | −8.23129 | + | 17.6521i | −0.309569 | + | 0.663874i | ||||
\(708\) | −4.03549 | − | 8.65414i | −0.151663 | − | 0.325243i | ||||
\(709\) | −14.2659 | + | 17.0015i | −0.535768 | + | 0.638503i | −0.964233 | − | 0.265055i | \(-0.914610\pi\) |
0.428466 | + | 0.903558i | \(0.359054\pi\) | |||||||
\(710\) | 0.380834 | − | 2.65981i | 0.0142924 | − | 0.0998210i | ||||
\(711\) | 24.7860 | − | 14.3102i | 0.929548 | − | 0.536675i | ||||
\(712\) | 0.290231 | + | 0.414492i | 0.0108769 | + | 0.0155338i | ||||
\(713\) | 27.1994 | + | 38.8448i | 1.01863 | + | 1.45475i | ||||
\(714\) | 1.89196 | − | 1.09232i | 0.0708047 | − | 0.0408791i | ||||
\(715\) | 0.630811 | − | 4.40570i | 0.0235910 | − | 0.164764i | ||||
\(716\) | −4.75414 | + | 5.66576i | −0.177670 | + | 0.211739i | ||||
\(717\) | 38.7760 | + | 83.1553i | 1.44812 | + | 3.10549i | ||||
\(718\) | 4.05807 | − | 8.70256i | 0.151446 | − | 0.324777i | ||||
\(719\) | 16.1088 | + | 19.1978i | 0.600758 | + | 0.715956i | 0.977635 | − | 0.210308i | \(-0.0674466\pi\) |
−0.376877 | + | 0.926263i | \(0.623002\pi\) | |||||||
\(720\) | −38.1474 | − | 8.91107i | −1.42167 | − | 0.332096i | ||||
\(721\) | 33.6941i | 1.25483i | ||||||||
\(722\) | 5.32219 | + | 6.76333i | 0.198072 | + | 0.251705i | ||||
\(723\) | −49.3220 | − | 49.3220i | −1.83430 | − | 1.83430i | ||||
\(724\) | 0.590117 | + | 3.34672i | 0.0219315 | + | 0.124380i | ||||
\(725\) | −19.8622 | − | 2.19160i | −0.737664 | − | 0.0813939i | ||||
\(726\) | −13.9331 | + | 5.07124i | −0.517106 | + | 0.188211i | ||||
\(727\) | 17.2023 | − | 8.02156i | 0.637998 | − | 0.297503i | −0.0765756 | − | 0.997064i | \(-0.524399\pi\) |
0.714573 | + | 0.699561i | \(0.246621\pi\) | |||||||
\(728\) | 1.23014 | + | 14.0606i | 0.0455922 | + | 0.521121i | ||||
\(729\) | 17.3787 | + | 10.0336i | 0.643656 | + | 0.371615i | ||||
\(730\) | −0.397780 | + | 0.0477967i | −0.0147225 | + | 0.00176903i | ||||
\(731\) | −0.153689 | + | 0.871612i | −0.00568438 | + | 0.0322377i | ||||
\(732\) | −15.7268 | + | 11.0120i | −0.581278 | + | 0.407015i | ||||
\(733\) | 9.56681 | − | 35.7038i | 0.353358 | − | 1.31875i | −0.529180 | − | 0.848510i | \(-0.677500\pi\) |
0.882538 | − | 0.470241i | \(-0.155833\pi\) | |||||||
\(734\) | −0.0740466 | + | 0.128252i | −0.00273311 | + | 0.00473388i | ||||
\(735\) | −6.64446 | + | 20.2709i | −0.245085 | + | 0.747704i | ||||
\(736\) | 7.53105 | − | 20.6914i | 0.277598 | − | 0.762695i | ||||
\(737\) | −1.31165 | − | 0.611632i | −0.0483153 | − | 0.0225298i | ||||
\(738\) | −21.2047 | − | 1.85517i | −0.780556 | − | 0.0682898i | ||||
\(739\) | 22.2479 | − | 3.92291i | 0.818404 | − | 0.144307i | 0.251254 | − | 0.967921i | \(-0.419157\pi\) |
0.567150 | + | 0.823615i | \(0.308046\pi\) | |||||||
\(740\) | −23.6244 | + | 9.47382i | −0.868449 | + | 0.348265i | ||||
\(741\) | 44.4372 | − | 33.0019i | 1.63244 | − | 1.21235i | ||||
\(742\) | 4.52166 | − | 4.52166i | 0.165996 | − | 0.165996i | ||||
\(743\) | 11.5972 | + | 8.12048i | 0.425462 | + | 0.297912i | 0.766628 | − | 0.642091i | \(-0.221933\pi\) |
−0.341166 | + | 0.940003i | \(0.610822\pi\) | |||||||
\(744\) | −40.5932 | + | 34.0617i | −1.48822 | + | 1.24876i | ||||
\(745\) | 2.78789 | − | 50.6861i | 0.102140 | − | 1.85700i | ||||
\(746\) | −6.11498 | − | 2.22567i | −0.223885 | − | 0.0814876i | ||||
\(747\) | 48.8626 | − | 4.27492i | 1.78779 | − | 0.156411i | ||||
\(748\) | −0.667051 | + | 0.178736i | −0.0243898 | + | 0.00653523i | ||||
\(749\) | −1.03220 | − | 1.78782i | −0.0377158 | − | 0.0653257i | ||||
\(750\) | −15.1273 | + | 2.81875i | −0.552371 | + | 0.102926i | ||||
\(751\) | −3.03316 | − | 0.534827i | −0.110681 | − | 0.0195161i | 0.118033 | − | 0.993010i | \(-0.462341\pi\) |
−0.228715 | + | 0.973494i | \(0.573452\pi\) | |||||||
\(752\) | 25.2426 | + | 6.76374i | 0.920504 | + | 0.246648i | ||||
\(753\) | −2.75148 | − | 10.2687i | −0.100269 | − | 0.374210i | ||||
\(754\) | 5.79561 | + | 4.86309i | 0.211064 | + | 0.177103i | ||||
\(755\) | 5.19015 | − | 5.53695i | 0.188889 | − | 0.201510i | ||||
\(756\) | −11.8455 | − | 32.5451i | −0.430815 | − | 1.18365i | ||||
\(757\) | 1.05854 | − | 12.0991i | 0.0384731 | − | 0.439750i | −0.952390 | − | 0.304881i | \(-0.901383\pi\) |
0.990864 | − | 0.134869i | \(-0.0430612\pi\) | |||||||
\(758\) | 2.42442 | − | 3.46243i | 0.0880589 | − | 0.125761i | ||||
\(759\) | −6.76353 | −0.245501 | ||||||||
\(760\) | 6.15348 | − | 15.5830i | 0.223210 | − | 0.565253i | ||||
\(761\) | −42.4931 | −1.54037 | −0.770187 | − | 0.637819i | \(-0.779837\pi\) | ||||
−0.770187 | + | 0.637819i | \(0.779837\pi\) | |||||||
\(762\) | −7.93366 | + | 11.3304i | −0.287406 | + | 0.410458i | ||||
\(763\) | −1.44170 | + | 16.4787i | −0.0521930 | + | 0.596569i | ||||
\(764\) | −6.31156 | − | 17.3409i | −0.228344 | − | 0.627371i | ||||
\(765\) | 0.363804 | + | 11.2528i | 0.0131534 | + | 0.406847i | ||||
\(766\) | −2.70708 | − | 2.27151i | −0.0978106 | − | 0.0820728i | ||||
\(767\) | −1.89393 | − | 7.06825i | −0.0683859 | − | 0.255220i | ||||
\(768\) | −5.84824 | − | 1.56703i | −0.211030 | − | 0.0565454i | ||||
\(769\) | −35.2926 | − | 6.22304i | −1.27268 | − | 0.224408i | −0.503813 | − | 0.863813i | \(-0.668070\pi\) |
−0.768871 | + | 0.639404i | \(0.779181\pi\) | |||||||
\(770\) | 0.518239 | − | 0.793515i | 0.0186760 | − | 0.0285963i | ||||
\(771\) | 6.42196 | + | 11.1232i | 0.231281 | + | 0.400591i | ||||
\(772\) | −3.19307 | + | 0.855581i | −0.114921 | + | 0.0307930i | ||||
\(773\) | 9.69376 | − | 0.848094i | 0.348660 | − | 0.0305038i | 0.0885194 | − | 0.996074i | \(-0.471786\pi\) |
0.260141 | + | 0.965571i | \(0.416231\pi\) | |||||||
\(774\) | −2.90614 | − | 1.05775i | −0.104459 | − | 0.0380199i | ||||
\(775\) | 22.4740 | − | 45.4795i | 0.807289 | − | 1.63367i | ||||
\(776\) | 5.44767 | − | 4.57114i | 0.195560 | − | 0.164094i | ||||
\(777\) | −31.0144 | − | 21.7165i | −1.11264 | − | 0.779076i | ||||
\(778\) | 1.66317 | − | 1.66317i | 0.0596274 | − | 0.0596274i | ||||
\(779\) | −7.61675 | + | 31.9716i | −0.272899 | + | 1.14550i | ||||
\(780\) | −46.8605 | − | 20.0344i | −1.67787 | − | 0.717345i | ||||
\(781\) | −1.24423 | + | 0.219391i | −0.0445220 | + | 0.00785044i | ||||
\(782\) | −1.70388 | − | 0.149071i | −0.0609308 | − | 0.00533075i | ||||
\(783\) | −35.5738 | − | 16.5884i | −1.27131 | − | 0.592819i | ||||
\(784\) | −3.01865 | + | 8.29367i | −0.107809 | + | 0.296202i | ||||
\(785\) | −26.2573 | − | 8.60670i | −0.937163 | − | 0.307186i | ||||
\(786\) | −8.10482 | + | 14.0380i | −0.289089 | + | 0.500717i | ||||
\(787\) | −8.00629 | + | 29.8799i | −0.285393 | + | 1.06510i | 0.663158 | + | 0.748479i | \(0.269216\pi\) |
−0.948551 | + | 0.316623i | \(0.897451\pi\) | |||||||
\(788\) | 9.98075 | − | 6.98859i | 0.355549 | − | 0.248958i | ||||
\(789\) | −9.29400 | + | 52.7089i | −0.330875 | + | 1.87649i | ||||
\(790\) | 2.87310 | − | 3.65785i | 0.102220 | − | 0.130140i | ||||
\(791\) | 18.5731 | + | 10.7232i | 0.660383 | + | 0.381272i | ||||
\(792\) | −0.444672 | − | 5.08262i | −0.0158007 | − | 0.180603i | ||||
\(793\) | −13.3343 | + | 6.21789i | −0.473515 | + | 0.220804i | ||||
\(794\) | −3.50296 | + | 1.27497i | −0.124316 | + | 0.0452471i | ||||
\(795\) | 14.1522 | + | 46.7219i | 0.501928 | + | 1.65706i | ||||
\(796\) | −4.34252 | − | 24.6277i | −0.153917 | − | 0.872905i | ||||
\(797\) | 18.1021 | + | 18.1021i | 0.641208 | + | 0.641208i | 0.950852 | − | 0.309644i | \(-0.100210\pi\) |
−0.309644 | + | 0.950852i | \(0.600210\pi\) | |||||||
\(798\) | 11.5463 | − | 2.37009i | 0.408733 | − | 0.0839005i | ||||
\(799\) | − | 7.51064i | − | 0.265707i | ||||||
\(800\) | −23.2844 | + | 3.56445i | −0.823228 | + | 0.126022i | ||||
\(801\) | −1.17927 | − | 1.40540i | −0.0416676 | − | 0.0496575i | ||||
\(802\) | 0.384200 | − | 0.823919i | 0.0135666 | − | 0.0290936i | ||||
\(803\) | 0.0796151 | + | 0.170735i | 0.00280956 | + | 0.00602511i | ||||
\(804\) | −10.6524 | + | 12.6950i | −0.375682 | + | 0.447720i | ||||
\(805\) | −16.4311 | + | 12.3152i | −0.579119 | + | 0.434052i | ||||
\(806\) | −16.6333 | + | 9.60327i | −0.585885 | + | 0.338261i | ||||
\(807\) | −22.7683 | − | 32.5165i | −0.801481 | − | 1.14463i | ||||
\(808\) | 9.77365 | + | 13.9582i | 0.343836 | + | 0.491049i | ||||
\(809\) | −23.1968 | + | 13.3927i | −0.815557 | + | 0.470862i | −0.848882 | − | 0.528582i | \(-0.822724\pi\) |
0.0333247 | + | 0.999445i | \(0.489390\pi\) | |||||||
\(810\) | −11.1742 | − | 1.59992i | −0.392620 | − | 0.0562156i | ||||
\(811\) | −19.0809 | + | 22.7397i | −0.670020 | + | 0.798499i | −0.988787 | − | 0.149334i | \(-0.952287\pi\) |
0.318767 | + | 0.947833i | \(0.396731\pi\) | |||||||
\(812\) | −5.95613 | − | 12.7730i | −0.209019 | − | 0.448243i | ||||
\(813\) | −17.8880 | + | 38.3610i | −0.627361 | + | 1.34538i | ||||
\(814\) | −0.879437 | − | 1.04807i | −0.0308242 | − | 0.0367349i | ||||
\(815\) | 1.51537 | − | 0.941463i | 0.0530810 | − | 0.0329780i | ||||
\(816\) | 6.90044i | 0.241564i | ||||||||
\(817\) | −2.27122 | + | 4.20053i | −0.0794600 | + | 0.146958i | ||||
\(818\) | 4.91483 | + | 4.91483i | 0.171843 | + | 0.171843i | ||||
\(819\) | −8.88639 | − | 50.3972i | −0.310516 | − | 1.76102i | ||||
\(820\) | 28.9615 | − | 8.77253i | 1.01138 | − | 0.306350i | ||||
\(821\) | 36.7112 | − | 13.3618i | 1.28123 | − | 0.466329i | 0.390390 | − | 0.920649i | \(-0.372340\pi\) |
0.890838 | + | 0.454320i | \(0.150118\pi\) | |||||||
\(822\) | 23.4339 | − | 10.9274i | 0.817350 | − | 0.381137i | ||||
\(823\) | −0.200621 | − | 2.29311i | −0.00699320 | − | 0.0799326i | 0.991896 | − | 0.127052i | \(-0.0405515\pi\) |
−0.998889 | + | 0.0471193i | \(0.984996\pi\) | |||||||
\(824\) | 25.5288 | + | 14.7391i | 0.889338 | + | 0.513459i | ||||
\(825\) | 3.47501 | + | 6.34632i | 0.120984 | + | 0.220951i | ||||
\(826\) | 0.270590 | − | 1.53459i | 0.00941505 | − | 0.0533954i | ||||
\(827\) | −3.28088 | + | 2.29730i | −0.114087 | + | 0.0798848i | −0.629228 | − | 0.777221i | \(-0.716629\pi\) |
0.515140 | + | 0.857106i | \(0.327740\pi\) | |||||||
\(828\) | −13.5315 | + | 50.5004i | −0.470253 | + | 1.75501i | ||||
\(829\) | 14.2569 | − | 24.6936i | 0.495161 | − | 0.857645i | −0.504823 | − | 0.863223i | \(-0.668442\pi\) |
0.999984 | + | 0.00557813i | \(0.00177558\pi\) | |||||||
\(830\) | 7.11184 | − | 3.60051i | 0.246856 | − | 0.124976i | ||||
\(831\) | −16.9849 | + | 46.6658i | −0.589201 | + | 1.61882i | ||||
\(832\) | −13.2119 | − | 6.16079i | −0.458039 | − | 0.213587i | ||||
\(833\) | 2.52692 | + | 0.221077i | 0.0875526 | + | 0.00765986i | ||||
\(834\) | −14.1317 | + | 2.49180i | −0.489342 | + | 0.0862842i | ||||
\(835\) | 10.8904 | + | 27.1569i | 0.376879 | + | 0.939803i | ||||
\(836\) | −3.71940 | − | 0.220977i | −0.128638 | − | 0.00764264i | ||||
\(837\) | 70.4602 | − | 70.4602i | 2.43546 | − | 2.43546i | ||||
\(838\) | −1.98091 | − | 1.38705i | −0.0684295 | − | 0.0479149i | ||||
\(839\) | 5.48743 | − | 4.60450i | 0.189447 | − | 0.158965i | −0.543131 | − | 0.839648i | \(-0.682761\pi\) |
0.732578 | + | 0.680683i | \(0.238317\pi\) | |||||||
\(840\) | −15.3096 | − | 17.0917i | −0.528230 | − | 0.589721i | ||||
\(841\) | 12.2419 | + | 4.45569i | 0.422135 | + | 0.153645i | ||||
\(842\) | 4.33736 | − | 0.379470i | 0.149475 | − | 0.0130774i | ||||
\(843\) | 84.8993 | − | 22.7487i | 2.92409 | − | 0.783507i | ||||
\(844\) | 9.90180 | + | 17.1504i | 0.340834 | + | 0.590342i | ||||
\(845\) | −8.36113 | − | 5.46060i | −0.287632 | − | 0.187850i | ||||
\(846\) | 25.8456 | + | 4.55728i | 0.888591 | + | 0.156683i | ||||
\(847\) | 20.4454 | + | 5.47834i | 0.702513 | + | 0.188238i | ||||
\(848\) | 5.22764 | + | 19.5098i | 0.179518 | + | 0.669970i | ||||
\(849\) | 44.6604 | + | 37.4745i | 1.53274 | + | 1.28612i | ||||
\(850\) | 0.735556 | + | 1.67537i | 0.0252294 | + | 0.0574647i | ||||
\(851\) | 10.1383 | + | 27.8548i | 0.347537 | + | 0.954850i | ||||
\(852\) | −1.26091 | + | 14.4122i | −0.0431980 | + | 0.493755i | ||||
\(853\) | 9.87932 | − | 14.1091i | 0.338261 | − | 0.483087i | −0.613600 | − | 0.789617i | \(-0.710279\pi\) |
0.951861 | + | 0.306530i | \(0.0991679\pi\) | |||||||
\(854\) | −3.13306 | −0.107211 | ||||||||
\(855\) | −17.3017 | + | 58.2290i | −0.591705 | + | 1.99139i | ||||
\(856\) | −1.80609 | −0.0617310 | ||||||||
\(857\) | 28.3078 | − | 40.4277i | 0.966975 | − | 1.38098i | 0.0427711 | − | 0.999085i | \(-0.486381\pi\) |
0.924204 | − | 0.381899i | \(-0.124730\pi\) | |||||||
\(858\) | 0.238754 | − | 2.72897i | 0.00815092 | − | 0.0931655i | ||||
\(859\) | −9.95294 | − | 27.3455i | −0.339590 | − | 0.933016i | −0.985511 | − | 0.169611i | \(-0.945749\pi\) |
0.645921 | − | 0.763404i | \(-0.276473\pi\) | |||||||
\(860\) | 4.39438 | − | 0.142070i | 0.149847 | − | 0.00484456i | ||||
\(861\) | 34.4821 | + | 28.9339i | 1.17515 | + | 0.986064i | ||||
\(862\) | −0.309107 | − | 1.15360i | −0.0105282 | − | 0.0392918i | ||||
\(863\) | −13.4123 | − | 3.59381i | −0.456560 | − | 0.122335i | 0.0232074 | − | 0.999731i | \(-0.492612\pi\) |
−0.479767 | + | 0.877396i | \(0.659279\pi\) | |||||||
\(864\) | −45.5665 | − | 8.03461i | −1.55020 | − | 0.273343i | ||||
\(865\) | 4.81231 | + | 22.9318i | 0.163623 | + | 0.779704i | ||||
\(866\) | −4.64315 | − | 8.04217i | −0.157781 | − | 0.273284i | ||||
\(867\) | −47.9784 | + | 12.8558i | −1.62943 | + | 0.436605i | ||||
\(868\) | 35.6422 | − | 3.11828i | 1.20977 | − | 0.105841i | ||||
\(869\) | −2.05519 | − | 0.748027i | −0.0697174 | − | 0.0253751i | ||||
\(870\) | −12.2810 | − | 0.675491i | −0.416364 | − | 0.0229013i | ||||
\(871\) | −9.72868 | + | 8.16333i | −0.329644 | + | 0.276604i | ||||
\(872\) | 11.8547 | + | 8.30073i | 0.401450 | + | 0.281098i | ||||
\(873\) | −18.2321 | + | 18.2321i | −0.617064 | + | 0.617064i | ||||
\(874\) | −8.46925 | − | 3.66498i | −0.286477 | − | 0.123970i | ||||
\(875\) | 19.9975 | + | 9.09016i | 0.676041 | + | 0.307303i | ||||
\(876\) | 2.12440 | − | 0.374590i | 0.0717769 | − | 0.0126562i | ||||
\(877\) | −24.0873 | − | 2.10737i | −0.813372 | − | 0.0711608i | −0.327124 | − | 0.944982i | \(-0.606079\pi\) |
−0.486248 | + | 0.873821i | \(0.661635\pi\) | |||||||
\(878\) | 14.7850 | + | 6.89436i | 0.498969 | + | 0.232673i | ||||
\(879\) | −2.91747 | + | 8.01569i | −0.0984039 | + | 0.270363i | ||||
\(880\) | 1.35215 | + | 2.67081i | 0.0455811 | + | 0.0900331i | ||||
\(881\) | −11.2657 | + | 19.5128i | −0.379552 | + | 0.657403i | −0.990997 | − | 0.133884i | \(-0.957255\pi\) |
0.611445 | + | 0.791287i | \(0.290588\pi\) | |||||||
\(882\) | −2.29404 | + | 8.56149i | −0.0772445 | + | 0.288280i | ||||
\(883\) | −15.3698 | + | 10.7621i | −0.517236 | + | 0.362172i | −0.802858 | − | 0.596170i | \(-0.796689\pi\) |
0.285623 | + | 0.958342i | \(0.407800\pi\) | |||||||
\(884\) | −1.05231 | + | 5.96794i | −0.0353930 | + | 0.200723i | ||||
\(885\) | 9.35542 | + | 7.34832i | 0.314479 | + | 0.247011i | ||||
\(886\) | 8.51580 | + | 4.91660i | 0.286094 | + | 0.165176i | ||||
\(887\) | 3.65695 | + | 41.7992i | 0.122788 | + | 1.40348i | 0.768477 | + | 0.639877i | \(0.221015\pi\) |
−0.645689 | + | 0.763601i | \(0.723430\pi\) | |||||||
\(888\) | −30.0207 | + | 13.9989i | −1.00743 | + | 0.469771i | ||||
\(889\) | 18.5549 | − | 6.75343i | 0.622311 | − | 0.226503i | ||||
\(890\) | −0.262894 | − | 0.140657i | −0.00881223 | − | 0.00471484i | ||||
\(891\) | 0.921686 | + | 5.22714i | 0.0308776 | + | 0.175116i | ||||
\(892\) | −0.265443 | − | 0.265443i | −0.00888768 | − | 0.00888768i | ||||
\(893\) | 12.7910 | − | 38.4511i | 0.428036 | − | 1.28672i | ||||
\(894\) | − | 31.2448i | − | 1.04498i | ||||||
\(895\) | 2.09602 | − | 8.97284i | 0.0700621 | − | 0.299929i | ||||
\(896\) | −13.8950 | − | 16.5594i | −0.464198 | − | 0.553210i | ||||
\(897\) | −25.0830 | + | 53.7907i | −0.837497 | + | 1.79602i | ||||
\(898\) | −1.58326 | − | 3.39530i | −0.0528339 | − | 0.113303i | ||||
\(899\) | 26.0641 | − | 31.0620i | 0.869286 | − | 1.03597i | ||||
\(900\) | 54.3375 | − | 13.2495i | 1.81125 | − | 0.441651i | ||||
\(901\) | 5.02721 | − | 2.90246i | 0.167481 | − | 0.0966949i | ||||
\(902\) | 0.932973 | + | 1.33242i | 0.0310646 | + | 0.0443648i | ||||
\(903\) | 3.75122 | + | 5.35730i | 0.124833 | + | 0.178280i | ||||
\(904\) | 16.2491 | − | 9.38144i | 0.540438 | − | 0.312022i | ||||
\(905\) | −2.53921 | − | 3.38785i | −0.0844061 | − | 0.112616i | ||||
\(906\) | 3.00258 | − | 3.57834i | 0.0997541 | − | 0.118882i | ||||
\(907\) | −17.7677 | − | 38.1030i | −0.589967 | − | 1.26519i | −0.943997 | − | 0.329954i | \(-0.892967\pi\) |
0.354030 | − | 0.935234i | \(-0.384811\pi\) | |||||||
\(908\) | −14.3066 | + | 30.6806i | −0.474781 | + | 1.01817i | ||||
\(909\) | −39.7126 | − | 47.3276i | −1.31718 | − | 1.56976i | ||||
\(910\) | −4.38893 | − | 7.06438i | −0.145492 | − | 0.234182i | ||||
\(911\) | − | 43.1012i | − | 1.42801i | −0.700142 | − | 0.714003i | \(-0.746880\pi\) | ||
0.700142 | − | 0.714003i | \(-0.253120\pi\) | |||||||
\(912\) | −11.7518 | + | 35.3272i | −0.389142 | + | 1.16980i | ||||
\(913\) | −2.65037 | − | 2.65037i | −0.0877145 | − | 0.0877145i | ||||
\(914\) | 1.23508 | + | 7.00448i | 0.0408528 | + | 0.231688i | ||||
\(915\) | 11.2838 | − | 21.0899i | 0.373030 | − | 0.697209i | ||||
\(916\) | 3.07501 | − | 1.11921i | 0.101601 | − | 0.0369798i | ||||
\(917\) | 20.9720 | − | 9.77939i | 0.692555 | − | 0.322944i | ||||
\(918\) | 0.313244 | + | 3.58039i | 0.0103386 | + | 0.118170i | ||||
\(919\) | 5.67097 | + | 3.27413i | 0.187068 | + | 0.108004i | 0.590609 | − | 0.806958i | \(-0.298887\pi\) |
−0.403541 | + | 0.914961i | \(0.632221\pi\) | |||||||
\(920\) | 2.14319 | + | 17.8363i | 0.0706588 | + | 0.588047i | ||||
\(921\) | 5.02381 | − | 28.4914i | 0.165540 | − | 0.938825i | ||||
\(922\) | −8.22291 | + | 5.75774i | −0.270807 | + | 0.189621i | ||||
\(923\) | −2.86948 | + | 10.7090i | −0.0944501 | + | 0.352492i | ||||
\(924\) | −2.55150 | + | 4.41932i | −0.0839381 | + | 0.145385i | ||||
\(925\) | 20.9276 | − | 23.8243i | 0.688097 | − | 0.783339i | ||||
\(926\) | 1.02785 | − | 2.82399i | 0.0337771 | − | 0.0928019i | ||||
\(927\) | −96.8658 | − | 45.1693i | −3.18149 | − | 1.48355i | ||||
\(928\) | −18.7566 | − | 1.64099i | −0.615717 | − | 0.0538682i | ||||
\(929\) | −28.0269 | + | 4.94190i | −0.919533 | + | 0.162138i | −0.613329 | − | 0.789827i | \(-0.710170\pi\) |
−0.306204 | + | 0.951966i | \(0.599059\pi\) | |||||||
\(930\) | 12.2746 | − | 28.7104i | 0.402501 | − | 0.941452i | ||||
\(931\) | 12.5602 | + | 5.43530i | 0.411644 | + | 0.178135i | ||||
\(932\) | 22.9744 | − | 22.9744i | 0.752551 | − | 0.752551i | ||||
\(933\) | −59.6058 | − | 41.7364i | −1.95141 | − | 1.36639i | ||||
\(934\) | 13.1125 | − | 11.0027i | 0.429053 | − | 0.360018i | ||||
\(935\) | 0.640857 | − | 0.574034i | 0.0209583 | − | 0.0187729i | ||||
\(936\) | −42.0714 | − | 15.3127i | −1.37515 | − | 0.500512i | ||||
\(937\) | −31.4504 | + | 2.75156i | −1.02744 | + | 0.0898895i | −0.588394 | − | 0.808574i | \(-0.700240\pi\) |
−0.439047 | + | 0.898464i | \(0.644684\pi\) | |||||||
\(938\) | −2.61227 | + | 0.699956i | −0.0852936 | + | 0.0228544i | ||||
\(939\) | 12.7596 | + | 22.1003i | 0.416395 | + | 0.721217i | ||||
\(940\) | −36.5151 | + | 7.66280i | −1.19099 | + | 0.249933i | ||||
\(941\) | −39.5313 | − | 6.97043i | −1.28868 | − | 0.227229i | −0.513020 | − | 0.858377i | \(-0.671473\pi\) |
−0.775663 | + | 0.631147i | \(0.782584\pi\) | |||||||
\(942\) | −16.4281 | − | 4.40190i | −0.535256 | − | 0.143422i | ||||
\(943\) | −9.12118 | − | 34.0407i | −0.297026 | − | 1.10852i | ||||
\(944\) | 3.77044 | + | 3.16378i | 0.122718 | + | 0.102972i | ||||
\(945\) | 31.4804 | + | 29.5086i | 1.02406 | + | 0.959914i | ||||
\(946\) | 0.0808298 | + | 0.222078i | 0.00262800 | + | 0.00722038i | ||||
\(947\) | −0.604220 | + | 6.90626i | −0.0196345 | + | 0.224423i | 0.980037 | + | 0.198813i | \(0.0637086\pi\) |
−0.999672 | + | 0.0256106i | \(0.991847\pi\) | |||||||
\(948\) | −14.3646 | + | 20.5148i | −0.466542 | + | 0.666291i | ||||
\(949\) | 1.65312 | 0.0536626 | ||||||||
\(950\) | 0.912475 | + | 9.82984i | 0.0296046 | + | 0.318922i | ||||
\(951\) | 10.4907 | 0.340184 | ||||||||
\(952\) | −1.56498 | + | 2.23502i | −0.0507212 | + | 0.0724374i | ||||
\(953\) | 1.06076 | − | 12.1246i | 0.0343615 | − | 0.392754i | −0.959467 | − | 0.281822i | \(-0.909061\pi\) |
0.993828 | − | 0.110931i | \(-0.0353833\pi\) | |||||||
\(954\) | 6.93755 | + | 19.0608i | 0.224612 | + | 0.617115i | ||||
\(955\) | 16.7735 | + | 15.7229i | 0.542779 | + | 0.508782i | ||||
\(956\) | −41.5179 | − | 34.8376i | −1.34278 | − | 1.12673i | ||||
\(957\) | 1.49684 | + | 5.58630i | 0.0483861 | + | 0.180579i | ||||
\(958\) | 5.50312 | + | 1.47456i | 0.177798 | + | 0.0476407i | ||||
\(959\) | −36.3505 | − | 6.40957i | −1.17382 | − | 0.206976i | ||||
\(960\) | 23.1939 | − | 4.86731i | 0.748580 | − | 0.157092i | ||||
\(961\) | 35.9694 | + | 62.3007i | 1.16030 | + | 2.00970i | ||||
\(962\) | −11.5968 | + | 3.10736i | −0.373896 | + | 0.100185i | ||||
\(963\) | 6.52348 | − | 0.570731i | 0.210216 | − | 0.0183915i | ||||
\(964\) | 38.7176 | + | 14.0920i | 1.24701 | + | 0.453874i | ||||
\(965\) | 3.06768 | − | 2.74781i | 0.0987523 | − | 0.0884553i | ||||
\(966\) | −9.68188 | + | 8.12406i | −0.311509 | + | 0.261387i | ||||
\(967\) | 8.72367 | + | 6.10838i | 0.280534 | + | 0.196432i | 0.705372 | − | 0.708837i | \(-0.250780\pi\) |
−0.424838 | + | 0.905269i | \(0.639669\pi\) | |||||||
\(968\) | 13.0943 | − | 13.0943i | 0.420868 | − | 0.420868i | ||||
\(969\) | 10.6812 | + | 0.634592i | 0.343130 | + | 0.0203860i | ||||
\(970\) | −1.64728 | + | 3.85299i | −0.0528909 | + | 0.123712i | ||||
\(971\) | 2.17846 | − | 0.384122i | 0.0699102 | − | 0.0123270i | −0.138584 | − | 0.990351i | \(-0.544255\pi\) |
0.208494 | + | 0.978024i | \(0.433144\pi\) | |||||||
\(972\) | 7.86600 | + | 0.688186i | 0.252302 | + | 0.0220736i | ||||
\(973\) | 18.5656 | + | 8.65730i | 0.595187 | + | 0.277540i | ||||
\(974\) | −3.97185 | + | 10.9126i | −0.127266 | + | 0.349662i | ||||
\(975\) | 63.3599 | − | 4.10114i | 2.02914 | − | 0.131342i | ||||
\(976\) | 4.94806 | − | 8.57030i | 0.158384 | − | 0.274329i | ||||
\(977\) | −5.98245 | + | 22.3268i | −0.191396 | + | 0.714298i | 0.801775 | + | 0.597626i | \(0.203889\pi\) |
−0.993171 | + | 0.116672i | \(0.962777\pi\) | |||||||
\(978\) | 0.899487 | − | 0.629828i | 0.0287624 | − | 0.0201397i | ||||
\(979\) | −0.0243448 | + | 0.138066i | −0.000778064 | + | 0.00441262i | ||||
\(980\) | −1.50329 | − | 12.5109i | −0.0480208 | − | 0.399645i | ||||
\(981\) | −45.4413 | − | 26.2355i | −1.45083 | − | 0.837636i | ||||
\(982\) | −1.35195 | − | 15.4529i | −0.0431425 | − | 0.493121i | ||||
\(983\) | 12.4704 | − | 5.81504i | 0.397744 | − | 0.185471i | −0.213446 | − | 0.976955i | \(-0.568469\pi\) |
0.611190 | + | 0.791484i | \(0.290691\pi\) | |||||||
\(984\) | 37.0059 | − | 13.4691i | 1.17971 | − | 0.429378i | ||||
\(985\) | −7.16107 | + | 13.3843i | −0.228171 | + | 0.426461i | ||||
\(986\) | 0.253964 | + | 1.44030i | 0.00808787 | + | 0.0458686i | ||||
\(987\) | −39.2439 | − | 39.2439i | −1.24915 | − | 1.24915i | ||||
\(988\) | −15.5511 | + | 28.7610i | −0.494746 | + | 0.915011i | ||||
\(989\) | − | 5.12032i | − | 0.162817i | ||||||
\(990\) | 1.58651 | + | 2.55363i | 0.0504226 | + | 0.0811596i | ||||
\(991\) | −23.8389 | − | 28.4101i | −0.757267 | − | 0.902476i | 0.240405 | − | 0.970673i | \(-0.422720\pi\) |
−0.997672 | + | 0.0681968i | \(0.978275\pi\) | |||||||
\(992\) | 20.2005 | − | 43.3202i | 0.641367 | − | 1.37542i | ||||
\(993\) | −20.5635 | − | 44.0985i | −0.652562 | − | 1.39942i | ||||
\(994\) | −1.51757 | + | 1.80857i | −0.0481344 | + | 0.0573643i | ||||
\(995\) | 18.6854 | + | 24.9303i | 0.592367 | + | 0.790345i | ||||
\(996\) | −37.1698 | + | 21.4600i | −1.17777 | + | 0.679986i | ||||
\(997\) | 8.80465 | + | 12.5743i | 0.278846 | + | 0.398234i | 0.934006 | − | 0.357256i | \(-0.116288\pi\) |
−0.655160 | + | 0.755490i | \(0.727399\pi\) | |||||||
\(998\) | 7.45676 | + | 10.6494i | 0.236040 | + | 0.337099i | ||||
\(999\) | 53.9430 | − | 31.1440i | 1.70668 | − | 0.985353i |
(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 | 95.2.r.a.48.6 | yes | 96 | |
3.2 | odd | 2 | 855.2.dl.a.523.3 | 96 | |||
5.2 | odd | 4 | inner | 95.2.r.a.67.6 | yes | 96 | |
5.3 | odd | 4 | 475.2.bb.b.257.3 | 96 | |||
5.4 | even | 2 | 475.2.bb.b.143.3 | 96 | |||
15.2 | even | 4 | 855.2.dl.a.352.3 | 96 | |||
19.2 | odd | 18 | inner | 95.2.r.a.78.6 | yes | 96 | |
57.2 | even | 18 | 855.2.dl.a.838.3 | 96 | |||
95.2 | even | 36 | inner | 95.2.r.a.2.6 | ✓ | 96 | |
95.59 | odd | 18 | 475.2.bb.b.268.3 | 96 | |||
95.78 | even | 36 | 475.2.bb.b.382.3 | 96 | |||
285.2 | odd | 36 | 855.2.dl.a.667.3 | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.r.a.2.6 | ✓ | 96 | 95.2 | even | 36 | inner | |
95.2.r.a.48.6 | yes | 96 | 1.1 | even | 1 | trivial | |
95.2.r.a.67.6 | yes | 96 | 5.2 | odd | 4 | inner | |
95.2.r.a.78.6 | yes | 96 | 19.2 | odd | 18 | inner | |
475.2.bb.b.143.3 | 96 | 5.4 | even | 2 | |||
475.2.bb.b.257.3 | 96 | 5.3 | odd | 4 | |||
475.2.bb.b.268.3 | 96 | 95.59 | odd | 18 | |||
475.2.bb.b.382.3 | 96 | 95.78 | even | 36 | |||
855.2.dl.a.352.3 | 96 | 15.2 | even | 4 | |||
855.2.dl.a.523.3 | 96 | 3.2 | odd | 2 | |||
855.2.dl.a.667.3 | 96 | 285.2 | odd | 36 | |||
855.2.dl.a.838.3 | 96 | 57.2 | even | 18 |