Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [912,2,Mod(289,912)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(912, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("912.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 912 = 2^{4} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 912.bo (of order \(9\), degree \(6\), not 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: | \(7.28235666434\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 114) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 529.1 | ||
Root | \(0.939693 - 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 912.529 |
Dual form | 912.2.bo.f.481.1 |
$q$-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 \(\left(\mathbb{Z}/912\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(799\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) | \(1\) | \(1\) |
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 | 0 | ||||||||
\(3\) | −0.939693 | + | 0.342020i | −0.542532 | + | 0.197465i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.386659 | − | 2.19285i | 0.172919 | − | 0.980674i | −0.767599 | − | 0.640930i | \(-0.778549\pi\) |
0.940518 | − | 0.339743i | \(-0.110340\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.326352 | − | 0.565258i | −0.123349 | − | 0.213647i | 0.797737 | − | 0.603005i | \(-0.206030\pi\) |
−0.921087 | + | 0.389358i | \(0.872697\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.766044 | − | 0.642788i | 0.255348 | − | 0.214263i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.766044 | + | 1.32683i | −0.230971 | + | 0.400054i | −0.958094 | − | 0.286453i | \(-0.907524\pi\) |
0.727123 | + | 0.686507i | \(0.240857\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.439693 | + | 0.160035i | 0.121949 | + | 0.0443857i | 0.402274 | − | 0.915519i | \(-0.368220\pi\) |
−0.280325 | + | 0.959905i | \(0.590442\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.386659 | + | 2.19285i | 0.0998350 | + | 0.566192i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.61334 | − | 1.35375i | −0.391293 | − | 0.328333i | 0.425824 | − | 0.904806i | \(-0.359984\pi\) |
−0.817116 | + | 0.576473i | \(0.804429\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.23396 | − | 3.74292i | 0.512505 | − | 0.858685i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.500000 | + | 0.419550i | 0.109109 | + | 0.0915533i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.02481 | − | 5.81201i | −0.213689 | − | 1.21189i | −0.883168 | − | 0.469058i | \(-0.844594\pi\) |
0.669479 | − | 0.742831i | \(-0.266517\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.0393628 | + | 0.0143269i | 0.00787257 | + | 0.00286538i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.500000 | + | 0.866025i | −0.0962250 | + | 0.166667i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −6.38326 | + | 5.35619i | −1.18534 | + | 0.994619i | −0.185412 | + | 0.982661i | \(0.559362\pi\) |
−0.999928 | + | 0.0119582i | \(0.996193\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.31908 | − | 7.48086i | −0.775729 | − | 1.34360i | −0.934384 | − | 0.356268i | \(-0.884049\pi\) |
0.158654 | − | 0.987334i | \(-0.449284\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.266044 | − | 1.50881i | 0.0463124 | − | 0.262651i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.36571 | + | 0.497079i | −0.230848 | + | 0.0840218i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.67499 | −0.768564 | −0.384282 | − | 0.923216i | \(-0.625551\pi\) | ||||
−0.384282 | + | 0.923216i | \(0.625551\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.467911 | −0.0749257 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3.26604 | + | 1.18874i | −0.510070 | + | 0.185650i | −0.584218 | − | 0.811597i | \(-0.698599\pi\) |
0.0741475 | + | 0.997247i | \(0.476376\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.78699 | + | 10.1345i | −0.272513 | + | 1.54550i | 0.474238 | + | 0.880396i | \(0.342723\pi\) |
−0.746752 | + | 0.665103i | \(0.768388\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.11334 | − | 1.92836i | −0.165967 | − | 0.287463i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 3.55303 | − | 2.98135i | 0.518263 | − | 0.434874i | −0.345763 | − | 0.938322i | \(-0.612380\pi\) |
0.864026 | + | 0.503448i | \(0.167935\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.28699 | − | 5.69323i | 0.469570 | − | 0.813319i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.97906 | + | 0.720317i | 0.277123 | + | 0.100865i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −2.07532 | − | 11.7697i | −0.285067 | − | 1.61670i | −0.705045 | − | 0.709163i | \(-0.749073\pi\) |
0.419977 | − | 0.907535i | \(-0.362038\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.61334 | + | 2.19285i | 0.352383 | + | 0.295684i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.819078 | + | 4.28125i | −0.108490 | + | 0.567066i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −10.9042 | − | 9.14971i | −1.41961 | − | 1.19119i | −0.951551 | − | 0.307492i | \(-0.900510\pi\) |
−0.468055 | − | 0.883699i | \(-0.655045\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.58378 | − | 8.98205i | −0.202782 | − | 1.15003i | −0.900892 | − | 0.434043i | \(-0.857086\pi\) |
0.698110 | − | 0.715991i | \(-0.254025\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.613341 | − | 0.223238i | −0.0772737 | − | 0.0281253i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.520945 | − | 0.902302i | 0.0646152 | − | 0.111917i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.190722 | + | 0.160035i | −0.0233004 | + | 0.0195514i | −0.654363 | − | 0.756180i | \(-0.727063\pi\) |
0.631063 | + | 0.775732i | \(0.282619\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 2.95084 | + | 5.11100i | 0.355239 | + | 0.615292i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.772441 | − | 4.38073i | 0.0916719 | − | 0.519897i | −0.904045 | − | 0.427438i | \(-0.859416\pi\) |
0.995716 | − | 0.0924590i | \(-0.0294727\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.54323 | − | 3.10948i | 0.999910 | − | 0.363937i | 0.210360 | − | 0.977624i | \(-0.432536\pi\) |
0.789550 | + | 0.613687i | \(0.210314\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.0418891 | −0.00483693 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.00000 | 0.113961 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 11.3302 | − | 4.12386i | 1.27475 | − | 0.463971i | 0.386057 | − | 0.922475i | \(-0.373837\pi\) |
0.888692 | + | 0.458504i | \(0.151615\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.173648 | − | 0.984808i | 0.0192942 | − | 0.109423i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1.85457 | + | 3.21221i | 0.203566 | + | 0.352586i | 0.949675 | − | 0.313238i | \(-0.101414\pi\) |
−0.746109 | + | 0.665824i | \(0.768080\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.59240 | + | 3.01438i | −0.389650 | + | 0.326955i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 4.16637 | − | 7.21637i | 0.446682 | − | 0.773676i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −15.7554 | − | 5.73448i | −1.67007 | − | 0.607854i | −0.678169 | − | 0.734906i | \(-0.737226\pi\) |
−0.991896 | + | 0.127051i | \(0.959449\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.0530334 | − | 0.300767i | −0.00555941 | − | 0.0315290i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 6.61721 | + | 5.55250i | 0.686173 | + | 0.575767i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −7.34389 | − | 6.34597i | −0.753468 | − | 0.651083i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.89053 | + | 1.58634i | 0.191954 | + | 0.161069i | 0.733700 | − | 0.679474i | \(-0.237792\pi\) |
−0.541746 | + | 0.840543i | \(0.682236\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.266044 | + | 1.50881i | 0.0267385 | + | 0.151641i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 5.39306 | + | 1.96291i | 0.536629 | + | 0.195317i | 0.596096 | − | 0.802913i | \(-0.296718\pi\) |
−0.0594668 | + | 0.998230i | \(0.518940\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.90420 | + | 11.9584i | −0.680291 | + | 1.17830i | 0.294601 | + | 0.955620i | \(0.404813\pi\) |
−0.974892 | + | 0.222678i | \(0.928520\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 1.11334 | − | 0.934204i | 0.108651 | − | 0.0911690i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 0.956767 | + | 1.65717i | 0.0924941 | + | 0.160205i | 0.908560 | − | 0.417754i | \(-0.137183\pi\) |
−0.816066 | + | 0.577959i | \(0.803849\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.05169 | + | 11.6357i | −0.196516 | + | 1.11450i | 0.713727 | + | 0.700424i | \(0.247006\pi\) |
−0.910243 | + | 0.414074i | \(0.864105\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 4.39306 | − | 1.59894i | 0.416970 | − | 0.151765i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 5.39693 | 0.507700 | 0.253850 | − | 0.967244i | \(-0.418303\pi\) | ||||
0.253850 | + | 0.967244i | \(0.418303\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −13.1411 | −1.22542 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.439693 | − | 0.160035i | 0.0406496 | − | 0.0147952i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.238703 | + | 1.35375i | −0.0218819 | + | 0.124098i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.32635 | + | 7.49346i | 0.393305 | + | 0.681224i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 2.66250 | − | 2.23411i | 0.240070 | − | 0.201443i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 5.61334 | − | 9.72259i | 0.502072 | − | 0.869615i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.09152 | + | 3.30904i | 0.806742 | + | 0.293630i | 0.712277 | − | 0.701898i | \(-0.247664\pi\) |
0.0944646 | + | 0.995528i | \(0.469886\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −1.78699 | − | 10.1345i | −0.157336 | − | 0.892295i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.45677 | + | 1.22237i | 0.127278 | + | 0.106799i | 0.704205 | − | 0.709997i | \(-0.251304\pi\) |
−0.576927 | + | 0.816796i | \(0.695748\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.84477 | − | 0.0412527i | −0.246673 | − | 0.00357706i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 1.70574 | + | 1.43128i | 0.146806 | + | 0.123185i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −0.308811 | − | 1.75135i | −0.0263835 | − | 0.149628i | 0.968770 | − | 0.247960i | \(-0.0797603\pi\) |
−0.995154 | + | 0.0983323i | \(0.968649\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.705737 | − | 0.256867i | −0.0598598 | − | 0.0217872i | 0.311917 | − | 0.950109i | \(-0.399029\pi\) |
−0.371777 | + | 0.928322i | \(0.621251\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.31908 | + | 4.01676i | −0.195302 | + | 0.338272i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.549163 | + | 0.460802i | −0.0459233 | + | 0.0385342i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 9.27719 | + | 16.0686i | 0.770429 | + | 1.33442i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.14156 | + | 6.47410i | −0.0941542 | + | 0.533975i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 5.61721 | − | 2.04450i | 0.460180 | − | 0.167492i | −0.101519 | − | 0.994834i | \(-0.532370\pi\) |
0.561699 | + | 0.827342i | \(0.310148\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 16.5749 | 1.34885 | 0.674424 | − | 0.738345i | \(-0.264392\pi\) | ||||
0.674424 | + | 0.738345i | \(0.264392\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −2.10607 | −0.170265 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −18.0744 | + | 6.57856i | −1.45177 | + | 0.528403i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.90033 | + | 16.4486i | −0.231472 | + | 1.31274i | 0.618447 | + | 0.785826i | \(0.287762\pi\) |
−0.849919 | + | 0.526914i | \(0.823349\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 5.97565 | + | 10.3501i | 0.473900 | + | 0.820819i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.95084 | + | 2.47605i | −0.232559 | + | 0.195140i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.92855 | + | 13.7326i | −0.621012 | + | 1.07562i | 0.368286 | + | 0.929713i | \(0.379945\pi\) |
−0.989298 | + | 0.145911i | \(0.953389\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −3.20574 | − | 1.16679i | −0.249566 | − | 0.0908347i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 0.393056 | + | 2.22913i | 0.0304156 | + | 0.172495i | 0.996232 | − | 0.0867333i | \(-0.0276428\pi\) |
−0.965816 | + | 0.259229i | \(0.916532\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.79086 | − | 8.21551i | −0.753143 | − | 0.631962i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.694593 | − | 4.30320i | −0.0531168 | − | 0.329074i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 7.16637 | + | 6.01330i | 0.544849 | + | 0.457183i | 0.873192 | − | 0.487376i | \(-0.162046\pi\) |
−0.328343 | + | 0.944559i | \(0.606490\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.00474774 | − | 0.0269258i | −0.000358895 | − | 0.00203540i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 13.3760 | + | 4.86846i | 1.00540 | + | 0.365936i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −7.88919 | + | 13.6645i | −0.589665 | + | 1.02133i | 0.404611 | + | 0.914489i | \(0.367407\pi\) |
−0.994276 | + | 0.106841i | \(0.965926\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.36437 | − | 4.50124i | 0.398731 | − | 0.334575i | −0.421272 | − | 0.906934i | \(-0.638416\pi\) |
0.820003 | + | 0.572360i | \(0.193972\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 4.56031 | + | 7.89868i | 0.337108 | + | 0.583888i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −1.80763 | + | 10.2516i | −0.132900 | + | 0.753711i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.03209 | − | 1.10359i | 0.221728 | − | 0.0807025i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.652704 | 0.0474772 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −4.39187 | −0.317785 | −0.158892 | − | 0.987296i | \(-0.550792\pi\) | ||||
−0.158892 | + | 0.987296i | \(0.550792\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.56418 | + | 1.66122i | −0.328537 | + | 0.119578i | −0.501022 | − | 0.865434i | \(-0.667042\pi\) |
0.172485 | + | 0.985012i | \(0.444820\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.180922 | + | 1.02606i | −0.0129561 | + | 0.0734777i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −10.1420 | − | 17.5665i | −0.722589 | − | 1.25156i | −0.959959 | − | 0.280142i | \(-0.909618\pi\) |
0.237369 | − | 0.971420i | \(-0.423715\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 17.2062 | − | 14.4377i | 1.21972 | − | 1.02346i | 0.220876 | − | 0.975302i | \(-0.429108\pi\) |
0.998840 | − | 0.0481609i | \(-0.0153360\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0.124485 | − | 0.215615i | 0.00878051 | − | 0.0152083i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 5.11081 | + | 1.86018i | 0.358709 | + | 0.130559i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.34389 | + | 7.62159i | 0.0938615 | + | 0.532315i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −4.52094 | − | 3.79352i | −0.314227 | − | 0.263668i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 3.25490 | + | 5.83132i | 0.225146 | + | 0.403361i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.62836 | + | 6.40095i | 0.525158 | + | 0.440660i | 0.866425 | − | 0.499307i | \(-0.166412\pi\) |
−0.341268 | + | 0.939966i | \(0.610856\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0.772441 | + | 4.38073i | 0.0529268 | + | 0.300163i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 21.5326 | + | 7.83721i | 1.46851 | + | 0.534493i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.81908 | + | 4.88279i | −0.191371 | + | 0.331465i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −6.96451 | + | 5.84392i | −0.470618 | + | 0.394895i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.492726 | − | 0.853427i | −0.0331443 | − | 0.0574077i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.333626 | + | 1.89209i | −0.0223412 | + | 0.126703i | −0.993939 | − | 0.109937i | \(-0.964935\pi\) |
0.971597 | + | 0.236640i | \(0.0760463\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.0393628 | − | 0.0143269i | 0.00262419 | − | 0.000955127i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −0.901674 | −0.0598462 | −0.0299231 | − | 0.999552i | \(-0.509526\pi\) | ||||
−0.0299231 | + | 0.999552i | \(0.509526\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.354103 | −0.0233998 | −0.0116999 | − | 0.999932i | \(-0.503724\pi\) | ||||
−0.0116999 | + | 0.999932i | \(0.503724\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.939693 | + | 0.342020i | −0.0618272 | + | 0.0225033i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −2.90033 | + | 16.4486i | −0.190007 | + | 1.07758i | 0.729345 | + | 0.684146i | \(0.239825\pi\) |
−0.919352 | + | 0.393437i | \(0.871286\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.16385 | − | 8.94405i | −0.336852 | − | 0.583445i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −9.23648 | + | 7.75033i | −0.599974 | + | 0.503438i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 5.02734 | − | 8.70761i | 0.325192 | − | 0.563248i | −0.656359 | − | 0.754448i | \(-0.727905\pi\) |
0.981551 | + | 0.191200i | \(0.0612378\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 21.7062 | + | 7.90041i | 1.39822 | + | 0.508910i | 0.927649 | − | 0.373452i | \(-0.121826\pi\) |
0.470570 | + | 0.882363i | \(0.344048\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.173648 | + | 0.984808i | 0.0111395 | + | 0.0631754i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −11.2135 | − | 9.40923i | −0.716403 | − | 0.601133i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.58125 | − | 1.28822i | 0.100613 | − | 0.0819676i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −2.84137 | − | 2.38419i | −0.180064 | − | 0.151092i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.11200 | − | 11.9777i | −0.133308 | − | 0.756027i | −0.976023 | − | 0.217667i | \(-0.930155\pi\) |
0.842715 | − | 0.538360i | \(-0.180956\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 8.49660 | + | 3.09251i | 0.534176 | + | 0.194424i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 2.34477 | − | 4.06126i | 0.146835 | − | 0.254326i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −3.02300 | + | 2.53660i | −0.188570 | + | 0.158229i | −0.732185 | − | 0.681106i | \(-0.761499\pi\) |
0.543615 | + | 0.839334i | \(0.317055\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.52569 | + | 2.64258i | 0.0948019 | + | 0.164202i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.44697 | + | 8.20616i | −0.0895650 | + | 0.507948i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 8.52229 | − | 3.10186i | 0.525507 | − | 0.191269i | −0.0656242 | − | 0.997844i | \(-0.520904\pi\) |
0.591131 | + | 0.806576i | \(0.298682\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −26.6117 | −1.63475 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 16.7665 | 1.02609 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 26.3234 | − | 9.58094i | 1.60497 | − | 0.584160i | 0.624531 | − | 0.781000i | \(-0.285290\pi\) |
0.980436 | + | 0.196840i | \(0.0630678\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.92350 | − | 16.5800i | 0.177590 | − | 1.00716i | −0.757522 | − | 0.652809i | \(-0.773590\pi\) |
0.935112 | − | 0.354352i | \(-0.115299\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.152704 | + | 0.264490i | 0.00924205 | + | 0.0160077i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −0.0491630 | + | 0.0412527i | −0.00296464 | + | 0.00248763i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 9.57532 | − | 16.5849i | 0.575325 | − | 0.996493i | −0.420681 | − | 0.907209i | \(-0.638209\pi\) |
0.996006 | − | 0.0892840i | \(-0.0284579\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −8.11721 | − | 2.95442i | −0.485965 | − | 0.176877i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.687319 | − | 3.89798i | −0.0410020 | − | 0.232534i | 0.957419 | − | 0.288701i | \(-0.0932232\pi\) |
−0.998421 | + | 0.0561668i | \(0.982112\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.03802 | + | 4.22740i | 0.299479 | + | 0.251293i | 0.780127 | − | 0.625621i | \(-0.215154\pi\) |
−0.480648 | + | 0.876913i | \(0.659599\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 9.07145 | + | 3.45150i | 0.537346 | + | 0.204449i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 1.73783 | + | 1.45821i | 0.102581 | + | 0.0860754i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.18180 | − | 12.3736i | −0.128341 | − | 0.727859i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.31908 | − | 0.844075i | −0.135947 | − | 0.0494806i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −10.8478 | + | 18.7889i | −0.633733 | + | 1.09766i | 0.353049 | + | 0.935605i | \(0.385145\pi\) |
−0.986782 | + | 0.162053i | \(0.948188\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −24.2802 | + | 20.3735i | −1.41365 | + | 1.18619i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.766044 | − | 1.32683i | −0.0444504 | − | 0.0769904i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0.479522 | − | 2.71951i | 0.0277315 | − | 0.157273i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6.31180 | − | 2.29731i | 0.363806 | − | 0.132415i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −5.73917 | −0.329707 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −20.3087 | −1.16287 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 16.7271 | − | 6.08818i | 0.954669 | − | 0.347471i | 0.182727 | − | 0.983164i | \(-0.441508\pi\) |
0.771942 | + | 0.635693i | \(0.219285\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 2.39780 | − | 13.5986i | 0.136406 | − | 0.773598i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −0.812681 | − | 1.40761i | −0.0460829 | − | 0.0798180i | 0.842064 | − | 0.539378i | \(-0.181341\pi\) |
−0.888147 | + | 0.459560i | \(0.848007\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 23.0371 | − | 19.3305i | 1.30214 | − | 1.09262i | 0.312364 | − | 0.949962i | \(-0.398879\pi\) |
0.989772 | − | 0.142660i | \(-0.0455654\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.726682 | + | 1.25865i | −0.0409439 | + | 0.0709169i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 10.6493 | + | 3.87603i | 0.598124 | + | 0.217699i | 0.623299 | − | 0.781984i | \(-0.285792\pi\) |
−0.0251747 | + | 0.999683i | \(0.508014\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.21688 | − | 12.5726i | −0.124122 | − | 0.703928i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −1.46585 | − | 1.23000i | −0.0818159 | − | 0.0686517i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −8.67112 | + | 3.01438i | −0.482474 | + | 0.167724i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.0150147 | + | 0.0125989i | 0.000832868 | + | 0.000698859i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −2.05169 | − | 11.6357i | −0.113459 | − | 0.643456i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −2.84477 | − | 1.03541i | −0.156837 | − | 0.0570841i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −16.0621 | + | 27.8204i | −0.882854 | + | 1.52915i | −0.0347000 | + | 0.999398i | \(0.511048\pi\) |
−0.848154 | + | 0.529750i | \(0.822286\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −3.58125 | + | 3.00503i | −0.196251 | + | 0.164674i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0.277189 | + | 0.480105i | 0.0151444 | + | 0.0262309i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 5.26739 | − | 29.8728i | 0.286933 | − | 1.62728i | −0.411365 | − | 0.911471i | \(-0.634948\pi\) |
0.698298 | − | 0.715807i | \(-0.253941\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −5.07145 | + | 1.84586i | −0.275443 | + | 0.100253i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 13.2344 | 0.716684 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −8.85978 | −0.478383 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 12.3486 | − | 4.49454i | 0.664828 | − | 0.241978i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −0.747626 | + | 4.24000i | −0.0401347 | + | 0.227615i | −0.998277 | − | 0.0586772i | \(-0.981312\pi\) |
0.958142 | + | 0.286292i | \(0.0924228\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.33022 | + | 2.30401i | 0.0712052 | + | 0.123331i | 0.899430 | − | 0.437065i | \(-0.143982\pi\) |
−0.828225 | + | 0.560396i | \(0.810649\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.358441 | + | 0.300767i | −0.0191321 | + | 0.0160538i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −18.0963 | + | 31.3437i | −0.963167 | + | 1.66825i | −0.248706 | + | 0.968579i | \(0.580005\pi\) |
−0.714461 | + | 0.699675i | \(0.753328\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −9.30763 | − | 3.38770i | −0.493998 | − | 0.179800i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.238703 | − | 1.35375i | −0.0126335 | − | 0.0716482i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −1.43376 | − | 1.20307i | −0.0756711 | − | 0.0634956i | 0.604168 | − | 0.796857i | \(-0.293506\pi\) |
−0.679839 | + | 0.733362i | \(0.737950\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.01889 | − | 16.7230i | −0.474678 | − | 0.880159i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −6.62836 | − | 5.56185i | −0.347898 | − | 0.291921i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −3.51532 | − | 19.9364i | −0.184000 | − | 1.04352i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.32635 | + | 1.21069i | 0.173634 | + | 0.0631977i | 0.427374 | − | 0.904075i | \(-0.359439\pi\) |
−0.253740 | + | 0.967272i | \(0.581661\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −1.73783 | + | 3.01000i | −0.0904676 | + | 0.156694i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −5.97565 | + | 5.01417i | −0.310240 | + | 0.260323i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −8.25924 | − | 14.3054i | −0.427647 | − | 0.740707i | 0.569016 | − | 0.822326i | \(-0.307324\pi\) |
−0.996664 | + | 0.0816196i | \(0.973991\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.94949 | + | 11.0561i | −0.100671 | + | 0.570936i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −3.66385 | + | 1.33353i | −0.188698 | + | 0.0686804i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.56893 | 0.183323 | 0.0916617 | − | 0.995790i | \(-0.470782\pi\) | ||||
0.0916617 | + | 0.995790i | \(0.470782\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −9.67499 | −0.495665 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −11.3366 | + | 4.12619i | −0.579274 | + | 0.210839i | −0.615005 | − | 0.788523i | \(-0.710846\pi\) |
0.0357313 | + | 0.999361i | \(0.488624\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.386659 | − | 2.19285i | 0.0197060 | − | 0.111758i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 5.14543 | + | 8.91215i | 0.261557 | + | 0.453030i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 14.4743 | − | 12.1454i | 0.733877 | − | 0.615796i | −0.197309 | − | 0.980341i | \(-0.563220\pi\) |
0.931185 | + | 0.364546i | \(0.118776\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.21466 | + | 10.7641i | −0.314289 | + | 0.544364i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1.78699 | − | 0.650411i | −0.0901417 | − | 0.0328089i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −4.66209 | − | 26.4400i | −0.234575 | − | 1.33034i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 13.9743 | + | 11.7258i | 0.701350 | + | 0.588503i | 0.922157 | − | 0.386815i | \(-0.126425\pi\) |
−0.220807 | + | 0.975318i | \(0.570869\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 2.68732 | − | 0.934204i | 0.134534 | − | 0.0467687i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 25.9577 | + | 21.7811i | 1.29627 | + | 1.08770i | 0.990777 | + | 0.135500i | \(0.0432642\pi\) |
0.305488 | + | 0.952196i | \(0.401180\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.701867 | − | 3.98048i | −0.0349625 | − | 0.198282i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −2.09240 | − | 0.761570i | −0.103972 | − | 0.0378427i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 3.58125 | − | 6.20291i | 0.177516 | − | 0.307467i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −0.132474 | + | 0.111159i | −0.00655043 | + | 0.00549647i | −0.646057 | − | 0.763289i | \(-0.723583\pi\) |
0.639507 | + | 0.768786i | \(0.279139\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0.889185 | + | 1.54011i | 0.0438603 | + | 0.0759682i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −1.61334 | + | 9.14971i | −0.0793873 | + | 0.450228i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.76099 | − | 2.82477i | 0.380972 | − | 0.138663i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0.751030 | 0.0367781 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 36.5800 | 1.78705 | 0.893524 | − | 0.449015i | \(-0.148225\pi\) | ||||
0.893524 | + | 0.449015i | \(0.148225\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −34.6400 | + | 12.6079i | −1.68825 | + | 0.614472i | −0.994403 | − | 0.105652i | \(-0.966307\pi\) |
−0.693845 | + | 0.720124i | \(0.744085\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0.805407 | − | 4.56769i | 0.0391602 | − | 0.222089i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.0441106 | − | 0.0764018i | −0.00213968 | − | 0.00370603i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.56031 | + | 3.82655i | −0.220689 | + | 0.185180i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.358441 | − | 0.620838i | 0.0173057 | − | 0.0299743i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −17.7763 | − | 6.47005i | −0.856255 | − | 0.311651i | −0.123667 | − | 0.992324i | \(-0.539465\pi\) |
−0.732588 | + | 0.680673i | \(0.761688\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3.86659 | + | 21.9285i | 0.185817 | + | 1.05382i | 0.924902 | + | 0.380206i | \(0.124147\pi\) |
−0.739085 | + | 0.673612i | \(0.764742\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −14.2135 | − | 11.9265i | −0.681484 | − | 0.571833i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −24.0433 | − | 9.14798i | −1.15015 | − | 0.437607i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −25.6156 | − | 21.4941i | −1.22257 | − | 1.02586i | −0.998686 | − | 0.0512387i | \(-0.983683\pi\) |
−0.223880 | − | 0.974617i | \(-0.571872\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.14156 | − | 6.47410i | −0.0543600 | − | 0.308291i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 32.7904 | + | 11.9347i | 1.55792 | + | 0.567037i | 0.970259 | − | 0.242069i | \(-0.0778262\pi\) |
0.587662 | + | 0.809106i | \(0.300048\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −18.6668 | + | 32.3319i | −0.884893 | + | 1.53268i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −4.57919 | + | 3.84240i | −0.216588 | + | 0.181739i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 4.09152 | + | 7.08672i | 0.193091 | + | 0.334443i | 0.946273 | − | 0.323369i | \(-0.104815\pi\) |
−0.753182 | + | 0.657812i | \(0.771482\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.924678 | − | 5.24411i | 0.0435414 | − | 0.246935i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −15.5753 | + | 5.66895i | −0.731792 | + | 0.266351i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.680045 | −0.0318810 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −41.0259 | −1.91911 | −0.959556 | − | 0.281519i | \(-0.909162\pi\) | ||||
−0.959556 | + | 0.281519i | \(0.909162\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 1.97906 | − | 0.720317i | 0.0923744 | − | 0.0336215i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −0.802719 | + | 4.55245i | −0.0373863 | + | 0.212029i | −0.997778 | − | 0.0666248i | \(-0.978777\pi\) |
0.960392 | + | 0.278653i | \(0.0898880\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2.75624 | + | 4.77396i | 0.128094 | + | 0.221865i | 0.922938 | − | 0.384949i | \(-0.125781\pi\) |
−0.794844 | + | 0.606813i | \(0.792448\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 14.7344 | − | 12.3636i | 0.683292 | − | 0.573350i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 5.58466 | − | 9.67291i | 0.258427 | − | 0.447609i | −0.707394 | − | 0.706820i | \(-0.750129\pi\) |
0.965821 | + | 0.259211i | \(0.0834625\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.152704 | + | 0.0555796i | 0.00705120 | + | 0.00256643i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −2.90033 | − | 16.4486i | −0.133640 | − | 0.757911i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −12.0778 | − | 10.1345i | −0.555340 | − | 0.465986i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.141559 | − | 0.115326i | 0.00649519 | − | 0.00529153i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −9.15523 | − | 7.68215i | −0.419189 | − | 0.351741i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −1.50459 | − | 8.53293i | −0.0687463 | − | 0.389879i | −0.999694 | − | 0.0247276i | \(-0.992128\pi\) |
0.930948 | − | 0.365152i | \(-0.118983\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.05556 | − | 0.748163i | −0.0937255 | − | 0.0341133i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1.92602 | − | 3.33597i | 0.0876370 | − | 0.151792i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 4.20961 | − | 3.53228i | 0.191148 | − | 0.160393i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −0.0471036 | − | 0.0815859i | −0.00213447 | − | 0.00369701i | 0.864956 | − | 0.501847i | \(-0.167346\pi\) |
−0.867091 | + | 0.498150i | \(0.834013\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 2.75356 | − | 15.6162i | 0.124520 | − | 0.706189i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −26.3075 | + | 9.57516i | −1.18724 | + | 0.432121i | −0.858754 | − | 0.512388i | \(-0.828761\pi\) |
−0.328488 | + | 0.944508i | \(0.606539\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 17.5493 | 0.790382 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 3.41147 | 0.153334 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −2.72833 | + | 0.993031i | −0.122382 | + | 0.0445435i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 6.42144 | − | 36.4178i | 0.287463 | − | 1.63028i | −0.408890 | − | 0.912584i | \(-0.634084\pi\) |
0.696353 | − | 0.717700i | \(-0.254805\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.13176 | − | 1.96026i | −0.0505633 | − | 0.0875781i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 17.3084 | − | 14.5235i | 0.771743 | − | 0.647570i | −0.169411 | − | 0.985545i | \(-0.554187\pi\) |
0.941155 | + | 0.337976i | \(0.109742\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.38965 | − | 11.0672i | 0.284336 | − | 0.492484i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 12.0103 | + | 4.37138i | 0.533395 | + | 0.194140i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −7.71869 | − | 43.7749i | −0.342125 | − | 1.94029i | −0.340377 | − | 0.940289i | \(-0.610555\pi\) |
−0.00174780 | − | 0.999998i | \(-0.500556\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.54576 | − | 3.81435i | −0.201093 | − | 0.168737i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 2.12449 | + | 3.80612i | 0.0937983 | + | 0.168044i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 23.5535 | + | 19.7637i | 1.03789 | + | 0.870894i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.23396 | + | 6.99811i | 0.0542693 | + | 0.307777i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −8.79086 | − | 3.19961i | −0.385876 | − | 0.140447i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 12.1322 | − | 21.0136i | 0.531522 | − | 0.920624i | −0.467801 | − | 0.883834i | \(-0.654953\pi\) |
0.999323 | − | 0.0367899i | \(-0.0117132\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 18.5462 | − | 15.5621i | 0.810970 | − | 0.680485i | −0.139869 | − | 0.990170i | \(-0.544668\pi\) |
0.950839 | + | 0.309685i | \(0.100224\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.0136706 | + | 0.0236781i | 0.000596633 | + | 0.00103340i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −3.15910 | + | 17.9161i | −0.137613 | + | 0.780440i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −11.1163 | + | 4.04601i | −0.483319 | + | 0.175914i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −14.2344 | −0.617721 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −1.62630 | −0.0704427 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 4.00387 | − | 1.45729i | 0.173102 | − | 0.0630041i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 2.73989 | − | 15.5387i | 0.118235 | − | 0.670543i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 5.03596 | + | 8.72254i | 0.216914 | + | 0.375706i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 26.2219 | − | 22.0028i | 1.12737 | − | 0.945975i | 0.128416 | − | 0.991720i | \(-0.459011\pi\) |
0.998953 | + | 0.0457455i | \(0.0145663\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −3.50134 | + | 6.06451i | −0.150257 | + | 0.260253i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 24.7221 | + | 8.99811i | 1.05898 | + | 0.385437i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −4.39218 | − | 24.9093i | −0.187796 | − | 1.06504i | −0.922310 | − | 0.386451i | \(-0.873701\pi\) |
0.734514 | − | 0.678593i | \(-0.237410\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −6.98680 | − | 5.86262i | −0.298189 | − | 0.250210i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 5.78787 | + | 35.8575i | 0.246571 | + | 1.52758i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −6.02869 | − | 5.05867i | −0.256366 | − | 0.215116i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −1.80763 | − | 10.2516i | −0.0767296 | − | 0.435155i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 10.2369 | + | 3.72594i | 0.433753 | + | 0.157873i | 0.549663 | − | 0.835386i | \(-0.314756\pi\) |
−0.115910 | + | 0.993260i | \(0.536978\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.40760 | + | 4.17009i | −0.101831 | + | 0.176376i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2.47178 | + | 2.07407i | −0.104359 | + | 0.0875673i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 8.64337 | + | 14.9708i | 0.364275 | + | 0.630942i | 0.988659 | − | 0.150175i | \(-0.0479836\pi\) |
−0.624385 | + | 0.781117i | \(0.714650\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2.08677 | − | 11.8347i | 0.0877911 | − | 0.497888i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −0.613341 | + | 0.223238i | −0.0257579 | + | 0.00937511i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 6.47834 | 0.271586 | 0.135793 | − | 0.990737i | \(-0.456642\pi\) | ||||
0.135793 | + | 0.990737i | \(0.456642\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −38.5476 | −1.61317 | −0.806583 | − | 0.591121i | \(-0.798686\pi\) | ||||
−0.806583 | + | 0.591121i | \(0.798686\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 4.12701 | − | 1.50211i | 0.172408 | − | 0.0627515i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.0429285 | − | 0.243460i | 0.00179024 | − | 0.0101530i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 5.72756 | + | 9.92042i | 0.238441 | + | 0.412993i | 0.960267 | − | 0.279082i | \(-0.0900302\pi\) |
−0.721826 | + | 0.692075i | \(0.756697\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 3.72075 | − | 3.12208i | 0.154629 | − | 0.129749i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 1.21048 | − | 2.09662i | 0.0502194 | − | 0.0869825i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 17.2062 | + | 6.26255i | 0.712608 | + | 0.259368i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.180922 | − | 1.02606i | −0.00748021 | − | 0.0424224i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −32.7467 | − | 27.4778i | −1.35160 | − | 1.13413i | −0.978479 | − | 0.206348i | \(-0.933842\pi\) |
−0.373124 | − | 0.927781i | \(-0.621714\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −37.6489 | − | 0.545955i | −1.55130 | − | 0.0224957i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 15.5385 | + | 13.0383i | 0.639168 | + | 0.536326i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 5.68092 | + | 32.2181i | 0.233288 | + | 1.32304i | 0.846190 | + | 0.532881i | \(0.178891\pi\) |
−0.612903 | + | 0.790158i | \(0.709998\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.87629 | + | 1.04688i | 0.117916 | + | 0.0429180i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −11.2306 | + | 19.4519i | −0.459636 | + | 0.796113i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −7.05896 | + | 5.92317i | −0.288421 | + | 0.242014i | −0.775506 | − | 0.631341i | \(-0.782505\pi\) |
0.487084 | + | 0.873355i | \(0.338061\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.83884 | − | 8.38112i | −0.197380 | − | 0.341873i | 0.750298 | − | 0.661100i | \(-0.229910\pi\) |
−0.947678 | + | 0.319227i | \(0.896577\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −0.0432332 | + | 0.245188i | −0.00176059 | + | 0.00998482i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 18.1049 | − | 6.58964i | 0.736068 | − | 0.267907i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −36.4766 | −1.48054 | −0.740269 | − | 0.672310i | \(-0.765302\pi\) | ||||
−0.740269 | + | 0.672310i | \(0.765302\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −5.43882 | −0.220392 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 2.03936 | − | 0.742267i | 0.0825038 | − | 0.0300289i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.02987 | + | 11.5119i | −0.0819856 | + | 0.464963i | 0.915981 | + | 0.401222i | \(0.131414\pi\) |
−0.997966 | + | 0.0637414i | \(0.979697\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −3.86959 | − | 6.70232i | −0.156037 | − | 0.270264i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 13.6459 | − | 11.4503i | 0.549363 | − | 0.460970i | −0.325362 | − | 0.945589i | \(-0.605486\pi\) |
0.874725 | + | 0.484619i | \(0.161042\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 13.9932 | − | 24.2369i | 0.562434 | − | 0.974164i | −0.434849 | − | 0.900503i | \(-0.643198\pi\) |
0.997283 | − | 0.0736609i | \(-0.0234683\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 5.54576 | + | 2.01849i | 0.222544 | + | 0.0809993i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 1.90033 | + | 10.7773i | 0.0761351 | + | 0.431784i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −18.9893 | − | 15.9339i | −0.759573 | − | 0.637357i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −5.05303 | − | 4.36640i | −0.201799 | − | 0.174377i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 7.54236 | + | 6.32879i | 0.300733 | + | 0.252345i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.653170 | + | 3.70431i | 0.0260023 | + | 0.147466i | 0.995045 | − | 0.0994276i | \(-0.0317012\pi\) |
−0.969042 | + | 0.246894i | \(0.920590\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −9.35756 | − | 3.40587i | −0.371930 | − | 0.135371i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 10.7716 | − | 18.6569i | 0.427456 | − | 0.740376i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.35638 | − | 1.97724i | 0.0933632 | − | 0.0783410i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −2.22416 | − | 3.85235i | −0.0879862 | − | 0.152397i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 2.91329 | − | 16.5221i | 0.115068 | − | 0.652582i | −0.871649 | − | 0.490131i | \(-0.836949\pi\) |
0.986717 | − | 0.162451i | \(-0.0519400\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −20.8396 | + | 7.58500i | −0.821834 | + | 0.299123i | −0.718503 | − | 0.695524i | \(-0.755172\pi\) |
−0.103331 | + | 0.994647i | \(0.532950\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −22.9145 | −0.902256 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −16.6759 | −0.655598 | −0.327799 | − | 0.944747i | \(-0.606307\pi\) | ||||
−0.327799 | + | 0.944747i | \(0.606307\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 20.4932 | − | 7.45891i | 0.804428 | − | 0.292788i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.979055 | − | 5.55250i | 0.0383722 | − | 0.217620i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 13.4033 | + | 23.2152i | 0.524513 | + | 0.908482i | 0.999593 | + | 0.0285398i | \(0.00908575\pi\) |
−0.475080 | + | 0.879943i | \(0.657581\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3.24376 | − | 2.72183i | 0.126744 | − | 0.106351i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 4.54576 | − | 7.87349i | 0.177347 | − | 0.307174i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −16.6116 | − | 6.04612i | −0.647096 | − | 0.235524i | −0.00244038 | − | 0.999997i | \(-0.500777\pi\) |
−0.644655 | + | 0.764474i | \(0.722999\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.50593 | + | 8.54055i | 0.0585739 | + | 0.332189i | 0.999987 | − | 0.00506615i | \(-0.00161261\pi\) |
−0.941413 | + | 0.337255i | \(0.890502\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.754900 | + | 0.633436i | 0.0293179 | + | 0.0246006i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −1.19042 | + | 6.22221i | −0.0461624 | + | 0.241287i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 37.6719 | + | 31.6105i | 1.45866 | + | 1.22396i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −0.333626 | − | 1.89209i | −0.0128987 | − | 0.0731523i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 13.1309 | + | 4.77925i | 0.506912 | + | 0.184501i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.08243 | + | 1.87483i | −0.0417248 | + | 0.0722694i | −0.886134 | − | 0.463430i | \(-0.846619\pi\) |
0.844409 | + | 0.535699i | \(0.179952\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −0.0320889 | + | 0.0269258i | −0.00123510 | + | 0.00103637i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −6.37686 | − | 11.0450i | −0.245083 | − | 0.424496i | 0.717072 | − | 0.696999i | \(-0.245482\pi\) |
−0.962155 | + | 0.272503i | \(0.912148\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.279715 | − | 1.58634i | 0.0107345 | − | 0.0608782i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0.847296 | − | 0.308391i | 0.0324685 | − | 0.0118176i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 25.2608 | 0.966579 | 0.483289 | − | 0.875461i | \(-0.339442\pi\) | ||||
0.483289 | + | 0.875461i | \(0.339442\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3.95987 | −0.151299 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0.332748 | − | 0.121111i | 0.0126951 | − | 0.00462065i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0.971066 | − | 5.50719i | 0.0369947 | − | 0.209807i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 7.64796 | + | 13.2466i | 0.290942 | + | 0.503926i | 0.974033 | − | 0.226407i | \(-0.0726980\pi\) |
−0.683091 | + | 0.730333i | \(0.739365\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.766044 | − | 0.642788i | 0.0290996 | − | 0.0244175i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −0.836152 | + | 1.44826i | −0.0317171 | + | 0.0549355i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 6.87851 | + | 2.50357i | 0.260542 | + | 0.0948296i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −2.90033 | − | 16.4486i | −0.109701 | − | 0.622143i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 30.5369 | + | 25.6235i | 1.15336 | + | 0.967786i | 0.999793 | − | 0.0203518i | \(-0.00647861\pi\) |
0.153570 | + | 0.988138i | \(0.450923\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −10.4437 | + | 17.4981i | −0.393893 | + | 0.659954i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 7.91147 | + | 6.63852i | 0.297963 | + | 0.250021i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −0.650482 | − | 3.68907i | −0.0244639 | − | 0.138742i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −22.4351 | − | 8.16571i | −0.842568 | − | 0.306670i | −0.115562 | − | 0.993300i | \(-0.536867\pi\) |
−0.727006 | + | 0.686631i | \(0.759089\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 6.02869 | − | 10.4420i | 0.226093 | − | 0.391605i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −39.0526 | + | 32.7690i | −1.46253 | + | 1.22721i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.798133 | + | 1.38241i | 0.0298485 | + | 0.0516991i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −1.74598 | + | 9.90193i | −0.0652047 | + | 0.369794i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −34.3050 | + | 12.4860i | −1.27936 | + | 0.465649i | −0.890221 | − | 0.455530i | \(-0.849450\pi\) |
−0.389140 | + | 0.921179i | \(0.627228\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 9.01279 | 0.335654 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −23.0993 | −0.859071 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −0.328001 | + | 0.119382i | −0.0121816 | + | 0.00443375i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.59580 | + | 31.7354i | −0.207537 | + | 1.17700i | 0.685861 | + | 0.727733i | \(0.259426\pi\) |
−0.893398 | + | 0.449267i | \(0.851685\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.500000 | − | 0.866025i | −0.0185185 | − | 0.0320750i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 16.6027 | − | 13.9313i | 0.614072 | − | 0.515267i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 3.48767 | − | 6.04083i | 0.128820 | − | 0.223123i | −0.794400 | − | 0.607396i | \(-0.792214\pi\) |
0.923220 | + | 0.384272i | \(0.125548\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 13.7554 | + | 5.00654i | 0.507374 | + | 0.184669i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −0.0662372 | − | 0.375650i | −0.00243988 | − | 0.0138372i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −18.6682 | − | 15.6645i | −0.686720 | − | 0.576227i | 0.231241 | − | 0.972896i | \(-0.425721\pi\) |
−0.917961 | + | 0.396670i | \(0.870166\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −1.04529 | + | 1.75135i | −0.0383998 | + | 0.0643376i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 29.1536 | + | 24.4628i | 1.06954 | + | 0.897453i | 0.995011 | − | 0.0997653i | \(-0.0318092\pi\) |
0.0745322 | + | 0.997219i | \(0.476254\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.31134 | − | 13.1082i | −0.0846808 | − | 0.480249i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 3.48545 | + | 1.26860i | 0.127526 | + | 0.0464157i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0.624485 | − | 1.08164i | 0.0228182 | − | 0.0395223i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.24897 | − | 1.88711i | 0.0820661 | − | 0.0688616i | −0.600832 | − | 0.799376i | \(-0.705164\pi\) |
0.682898 | + | 0.730514i | \(0.260719\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 6.08125 | + | 10.5330i | 0.221613 | + | 0.383845i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 6.40884 | − | 36.3463i | 0.233242 | − | 1.32278i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −10.6800 | + | 3.88722i | −0.388173 | + | 0.141283i | −0.528732 | − | 0.848789i | \(-0.677332\pi\) |
0.140559 | + | 0.990072i | \(0.455110\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −9.04189 | −0.328200 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 10.4976 | 0.380538 | 0.190269 | − | 0.981732i | \(-0.439064\pi\) | ||||
0.190269 | + | 0.981732i | \(0.439064\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 7.24675 | − | 2.63760i | 0.262350 | − | 0.0954876i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −0.814330 | + | 4.61830i | −0.0294422 | + | 0.166975i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −3.33022 | − | 5.76811i | −0.120247 | − | 0.208275i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 5.93036 | − | 4.97616i | 0.213854 | − | 0.179445i | −0.529568 | − | 0.848268i | \(-0.677646\pi\) |
0.743422 | + | 0.668823i | \(0.233201\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.97313 | − | 3.41755i | 0.0710604 | − | 0.123080i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 5.78224 | + | 2.10456i | 0.207973 | + | 0.0756959i | 0.443906 | − | 0.896073i | \(-0.353592\pi\) |
−0.235933 | + | 0.971769i | \(0.575815\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.0628336 | − | 0.356347i | −0.00225705 | − | 0.0128004i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −2.33750 | − | 1.96139i | −0.0838572 | − | 0.0703646i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −2.84683 | + | 14.8801i | −0.101998 | + | 0.533136i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 5.22075 | + | 4.38073i | 0.186813 | + | 0.156755i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −1.44697 | − | 8.20616i | −0.0517104 | − | 0.293264i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 34.9479 | + | 12.7200i | 1.24734 | + | 0.453996i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −4.02600 | + | 6.97323i | −0.143511 | + | 0.248569i | −0.928817 | − | 0.370540i | \(-0.879173\pi\) |
0.785305 | + | 0.619109i | \(0.212506\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −6.94743 | + | 5.82959i | −0.247335 | + | 0.207539i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −1.76130 | − | 3.05066i | −0.0626245 | − | 0.108469i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.741067 | − | 4.20280i | 0.0263161 | − | 0.149246i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 25.0069 | − | 9.10175i | 0.886902 | − | 0.322806i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 10.2139 | 0.361794 | 0.180897 | − | 0.983502i | \(-0.442100\pi\) | ||||
0.180897 | + | 0.983502i | \(0.442100\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −9.76827 | −0.345576 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −15.7554 | + | 5.73448i | −0.556689 | + | 0.202618i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −2.41875 | + | 13.7174i | −0.0853558 | + | 0.484077i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 4.28864 | + | 7.42814i | 0.151155 | + | 0.261807i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −21.4590 | + | 18.0063i | −0.755394 | + | 0.633851i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −23.6498 | + | 40.9626i | −0.831482 | + | 1.44017i | 0.0653817 | + | 0.997860i | \(0.479173\pi\) |
−0.896863 | + | 0.442308i | \(0.854160\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 49.5023 | + | 18.0174i | 1.73826 | + | 0.632675i | 0.999162 | − | 0.0409232i | \(-0.0130299\pi\) |
0.739098 | + | 0.673598i | \(0.235252\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 2.92350 | + | 16.5800i | 0.102531 | + | 0.581485i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 27.0480 | + | 22.6960i | 0.947451 | + | 0.795006i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 33.9406 | + | 29.3286i | 1.18743 | + | 1.02608i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.233956 | − | 0.196312i | −0.00817507 | − | 0.00685970i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −9.57697 | − | 54.3137i | −0.334239 | − | 1.89556i | −0.434623 | − | 0.900613i | \(-0.643118\pi\) |
0.100384 | − | 0.994949i | \(-0.467993\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −23.1573 | − | 8.42858i | −0.807214 | − | 0.293802i | −0.0947417 | − | 0.995502i | \(-0.530203\pi\) |
−0.712473 | + | 0.701700i | \(0.752425\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0.0320889 | − | 0.0555796i | 0.00111719 | − | 0.00193503i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −28.7698 | + | 24.1407i | −1.00042 | + | 0.839454i | −0.987043 | − | 0.160456i | \(-0.948703\pi\) |
−0.0133794 | + | 0.999910i | \(0.504259\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 6.50000 | + | 11.2583i | 0.225754 | + | 0.391018i | 0.956545 | − | 0.291583i | \(-0.0941820\pi\) |
−0.730791 | + | 0.682601i | \(0.760849\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −3.32547 | + | 18.8597i | −0.115359 | + | 0.654236i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −13.0103 | + | 4.73535i | −0.450779 | + | 0.164070i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 5.04013 | 0.174421 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 8.63816 | 0.298578 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −17.7062 | + | 6.44453i | −0.611286 | + | 0.222490i | −0.629066 | − | 0.777352i | \(-0.716562\pi\) |
0.0177798 | + | 0.999842i | \(0.494340\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 7.02141 | − | 39.8204i | 0.242118 | − | 1.37312i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 1.97906 | + | 3.42782i | 0.0681623 | + | 0.118061i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −21.8011 | + | 18.2933i | −0.749982 | + | 0.629309i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 2.82383 | − | 4.89101i | 0.0970278 | − | 0.168057i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −6.18004 | − | 2.24935i | −0.212099 | − | 0.0771976i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 4.79100 | + | 27.1711i | 0.164233 | + | 0.931414i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −9.06006 | − | 7.60229i | −0.310211 | − | 0.260298i | 0.474369 | − | 0.880326i | \(-0.342676\pi\) |
−0.784579 | + | 0.620029i | \(0.787121\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −9.70486 | − | 0.140732i | −0.331899 | − | 0.00481295i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 15.1573 | + | 12.7185i | 0.517763 | + | 0.434455i | 0.863851 | − | 0.503747i | \(-0.168046\pi\) |
−0.346088 | + | 0.938202i | \(0.612490\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −5.59105 | − | 31.7084i | −0.190764 | − | 1.08188i | −0.918323 | − | 0.395832i | \(-0.870456\pi\) |
0.727559 | − | 0.686046i | \(-0.240655\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −2.13176 | − | 0.775897i | −0.0726502 | − | 0.0264425i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −19.1150 | + | 33.1081i | −0.650682 | + | 1.12701i | 0.332276 | + | 0.943182i | \(0.392183\pi\) |
−0.982958 | + | 0.183832i | \(0.941150\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 15.9572 | − | 13.3897i | 0.542562 | − | 0.455264i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 6.28224 | + | 10.8812i | 0.213356 | + | 0.369544i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −3.20780 | + | 18.1923i | −0.108817 | + | 0.617132i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.109470 | + | 0.0398440i | −0.00370926 | + | 0.00135006i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 2.46791 | 0.0835261 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −7.32770 | −0.247721 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 28.1202 | − | 10.2349i | 0.949552 | − | 0.345609i | 0.179621 | − | 0.983736i | \(-0.442513\pi\) |
0.769931 | + | 0.638127i | \(0.220291\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 3.76739 | − | 21.3659i | 0.127071 | − | 0.720655i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 20.4158 | + | 35.3612i | 0.687826 | + | 1.19135i | 0.972540 | + | 0.232737i | \(0.0747682\pi\) |
−0.284714 | + | 0.958613i | \(0.591898\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 18.8275 | − | 15.7982i | 0.633597 | − | 0.531651i | −0.268447 | − | 0.963294i | \(-0.586511\pi\) |
0.902044 | + | 0.431643i | \(0.142066\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 15.8478 | − | 27.4491i | 0.532717 | − | 0.922692i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 22.6113 | + | 8.22983i | 0.759213 | + | 0.276331i | 0.692477 | − | 0.721440i | \(-0.256519\pi\) |
0.0667355 | + | 0.997771i | \(0.478742\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.09657 | − | 6.21897i | −0.0367778 | − | 0.208577i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.17365 | + | 0.984808i | 0.0393187 | + | 0.0329923i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −3.22163 | − | 19.9589i | −0.107808 | − | 0.667900i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 26.9138 | + | 22.5833i | 0.899628 | + | 0.754877i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.479522 | + | 2.71951i | 0.0160108 | + | 0.0908017i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 67.6387 | + | 24.6185i | 2.25588 | + | 0.821072i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −12.5851 | + | 21.7981i | −0.419271 | + | 0.726199i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −5.14543 | + | 4.31753i | −0.171229 | + | 0.143678i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −7.79638 | − | 13.5037i | −0.259160 | − | 0.448879i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −0.0871817 | + | 0.494432i | −0.00289482 | + | 0.0164173i | −0.986221 | − | 0.165433i | \(-0.947098\pi\) |
0.983326 | + | 0.181851i | \(0.0582088\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 5.39306 | − | 1.96291i | 0.178876 | − | 0.0651057i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 11.2243 | 0.371878 | 0.185939 | − | 0.982561i | \(-0.440467\pi\) | ||||
0.185939 | + | 0.982561i | \(0.440467\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −5.68273 | −0.188071 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 19.0839 | − | 6.94599i | 0.630896 | − | 0.229627i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0.215537 | − | 1.22237i | 0.00711767 | − | 0.0403663i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 11.7699 | + | 20.3861i | 0.388254 | + | 0.672475i | 0.992215 | − | 0.124539i | \(-0.0397451\pi\) |
−0.603961 | + | 0.797014i | \(0.706412\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −13.6361 | + | 11.4420i | −0.449325 | + | 0.377028i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 1.04071 | − | 1.80256i | 0.0342553 | − | 0.0593319i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.184021 | − | 0.0669782i | −0.00605057 | − | 0.00220223i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 2.39780 | + | 13.5986i | 0.0787542 | + | 0.446637i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −26.8865 | − | 22.5604i | −0.882117 | − | 0.740184i | 0.0844960 | − | 0.996424i | \(-0.473072\pi\) |
−0.966613 | + | 0.256239i | \(0.917516\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −13.9663 | − | 25.0214i | −0.457728 | − | 0.820042i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 1.24510 | + | 1.04476i | 0.0407627 | + | 0.0342040i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −1.24763 | − | 7.07564i | −0.0408017 | − | 0.231398i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 42.1095 | + | 15.3266i | 1.37566 | + | 0.500699i | 0.920859 | − | 0.389895i | \(-0.127489\pi\) |
0.454799 | + | 0.890594i | \(0.349711\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −15.0364 | + | 26.0439i | −0.490695 | + | 0.849909i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −9.56805 | + | 8.02855i | −0.311909 | + | 0.261723i | −0.785281 | − | 0.619140i | \(-0.787481\pi\) |
0.473371 | + | 0.880863i | \(0.343037\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 10.2561 | + | 17.7641i | 0.333984 | + | 0.578477i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.252374 | − | 1.43128i | 0.00820972 | − | 0.0465597i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 48.5925 | − | 17.6862i | 1.57904 | − | 0.574724i | 0.604047 | − | 0.796949i | \(-0.293554\pi\) |
0.974996 | + | 0.222224i | \(0.0713317\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 4.25402 | 0.138091 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −11.3327 | −0.367490 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −37.2841 | + | 13.5703i | −1.20775 | + | 0.439585i | −0.865922 | − | 0.500178i | \(-0.833268\pi\) |
−0.341827 | + | 0.939763i | \(0.611046\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.69816 | + | 9.63073i | −0.0549511 | + | 0.311643i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 6.38326 | + | 11.0561i | 0.206341 | + | 0.357394i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −0.889185 | + | 0.746115i | −0.0287133 | + | 0.0240933i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −21.8089 | + | 37.7741i | −0.703512 | + | 1.21852i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 1.79813 | + | 0.654467i | 0.0579440 | + | 0.0210899i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 1.87804 | + | 10.6509i | 0.0604563 | + | 0.342865i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −21.0346 | − | 17.6501i | −0.676428 | − | 0.567590i | 0.238532 | − | 0.971135i | \(-0.423334\pi\) |
−0.914960 | + | 0.403544i | \(0.867778\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 7.11721 | − | 5.79829i | 0.228638 | − | 0.186268i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 17.8503 | + | 14.9782i | 0.572843 | + | 0.480672i | 0.882588 | − | 0.470147i | \(-0.155799\pi\) |
−0.309745 | + | 0.950820i | \(0.600244\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.0851223 | + | 0.482753i | 0.00272890 | + | 0.0154763i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.0184183 | − | 0.00670372i | −0.000589858 | − | 0.000214691i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −6.73009 | + | 11.6568i | −0.215315 | + | 0.372936i | −0.953370 | − | 0.301805i | \(-0.902411\pi\) |
0.738055 | + | 0.674740i | \(0.235744\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 19.6780 | − | 16.5118i | 0.628911 | − | 0.527719i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 5.90760 | + | 10.2323i | 0.188615 | + | 0.326691i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 7.94727 | − | 45.0712i | 0.253479 | − | 1.43755i | −0.546469 | − | 0.837479i | \(-0.684029\pi\) |
0.799948 | − | 0.600069i | \(-0.204860\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −42.4423 | + | 15.4477i | −1.35232 | + | 0.492205i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 3.02734 | 0.0963613 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 60.7333 | 1.93121 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 23.5164 | − | 8.55925i | 0.747022 | − | 0.271894i | 0.0596698 | − | 0.998218i | \(-0.480995\pi\) |
0.687352 | + | 0.726324i | \(0.258773\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 5.57832 | − | 31.6362i | 0.177022 | − | 1.00394i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −25.0069 | − | 43.3132i | −0.792771 | − | 1.37312i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −20.4677 | + | 17.1745i | −0.648220 | + | 0.543921i | −0.906530 | − | 0.422141i | \(-0.861279\pi\) |
0.258310 | + | 0.966062i | \(0.416834\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 2.33750 | − | 4.04866i | 0.0739551 | − | 0.128094i |
(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 | 912.2.bo.f.529.1 | 6 | ||
4.3 | odd | 2 | 114.2.i.d.73.1 | yes | 6 | ||
12.11 | even | 2 | 342.2.u.a.73.1 | 6 | |||
19.6 | even | 9 | inner | 912.2.bo.f.481.1 | 6 | ||
76.43 | odd | 18 | 2166.2.a.o.1.3 | 3 | |||
76.63 | odd | 18 | 114.2.i.d.25.1 | ✓ | 6 | ||
76.71 | even | 18 | 2166.2.a.u.1.3 | 3 | |||
228.71 | odd | 18 | 6498.2.a.bn.1.1 | 3 | |||
228.119 | even | 18 | 6498.2.a.bs.1.1 | 3 | |||
228.215 | even | 18 | 342.2.u.a.253.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.i.d.25.1 | ✓ | 6 | 76.63 | odd | 18 | ||
114.2.i.d.73.1 | yes | 6 | 4.3 | odd | 2 | ||
342.2.u.a.73.1 | 6 | 12.11 | even | 2 | |||
342.2.u.a.253.1 | 6 | 228.215 | even | 18 | |||
912.2.bo.f.481.1 | 6 | 19.6 | even | 9 | inner | ||
912.2.bo.f.529.1 | 6 | 1.1 | even | 1 | trivial | ||
2166.2.a.o.1.3 | 3 | 76.43 | odd | 18 | |||
2166.2.a.u.1.3 | 3 | 76.71 | even | 18 | |||
6498.2.a.bn.1.1 | 3 | 228.71 | odd | 18 | |||
6498.2.a.bs.1.1 | 3 | 228.119 | even | 18 |