Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,2,Mod(37,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.v (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.29969157821\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{8})\) |
Twist minimal: | no (minimal twist has level 96) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 109.1 | ||
Character | \(\chi\) | \(=\) | 288.109 |
Dual form | 288.2.v.d.37.1 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{7}{8}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40823 | − | 0.129991i | −0.995767 | − | 0.0919178i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.96620 | + | 0.366115i | 0.983102 | + | 0.183057i | ||||
\(5\) | 2.51374 | − | 1.04122i | 1.12418 | − | 0.465649i | 0.258379 | − | 0.966044i | \(-0.416812\pi\) |
0.865798 | + | 0.500394i | \(0.166812\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.01027 | − | 2.01027i | 0.759810 | − | 0.759810i | −0.216477 | − | 0.976288i | \(-0.569457\pi\) |
0.976288 | + | 0.216477i | \(0.0694568\pi\) | |||||||
\(8\) | −2.72127 | − | 0.771162i | −0.962114 | − | 0.272647i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.67526 | + | 1.13951i | −1.16222 | + | 0.360346i | ||||
\(11\) | 1.32741 | + | 3.20465i | 0.400229 | + | 0.966238i | 0.987610 | + | 0.156928i | \(0.0501590\pi\) |
−0.587381 | + | 0.809310i | \(0.699841\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.55375 | − | 2.30044i | −1.54033 | − | 0.638027i | −0.558798 | − | 0.829304i | \(-0.688737\pi\) |
−0.981536 | + | 0.191277i | \(0.938737\pi\) | |||||||
\(14\) | −3.09223 | + | 2.56960i | −0.826434 | + | 0.686753i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.73192 | + | 1.43971i | 0.932980 | + | 0.359928i | ||||
\(17\) | − | 4.16447i | − | 1.01003i | −0.863110 | − | 0.505016i | \(-0.831486\pi\) | ||
0.863110 | − | 0.505016i | \(-0.168514\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.49866 | + | 1.86340i | 1.03206 | + | 0.427494i | 0.833456 | − | 0.552585i | \(-0.186359\pi\) |
0.198606 | + | 0.980079i | \(0.436359\pi\) | |||||||
\(20\) | 5.32373 | − | 1.12694i | 1.19042 | − | 0.251992i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.45272 | − | 4.68542i | −0.309720 | − | 0.998936i | ||||
\(23\) | 1.94282 | + | 1.94282i | 0.405106 | + | 0.405106i | 0.880028 | − | 0.474922i | \(-0.157524\pi\) |
−0.474922 | + | 0.880028i | \(0.657524\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.69919 | − | 1.69919i | 0.339838 | − | 0.339838i | ||||
\(26\) | 7.52191 | + | 3.96148i | 1.47517 | + | 0.776910i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 4.68859 | − | 3.21661i | 0.886060 | − | 0.607882i | ||||
\(29\) | 1.96103 | − | 4.73434i | 0.364154 | − | 0.879145i | −0.630530 | − | 0.776165i | \(-0.717162\pi\) |
0.994683 | − | 0.102980i | \(-0.0328377\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.87015 | −0.515495 | −0.257747 | − | 0.966212i | \(-0.582980\pi\) | ||||
−0.257747 | + | 0.966212i | \(0.582980\pi\) | |||||||
\(32\) | −5.06824 | − | 2.51256i | −0.895947 | − | 0.444162i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.541346 | + | 5.86452i | −0.0928400 | + | 1.00576i | ||||
\(35\) | 2.96015 | − | 7.14642i | 0.500356 | − | 1.20797i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.31049 | − | 2.61389i | 1.03744 | − | 0.429721i | 0.202046 | − | 0.979376i | \(-0.435241\pi\) |
0.835392 | + | 0.549655i | \(0.185241\pi\) | |||||||
\(38\) | −6.09290 | − | 3.20888i | −0.988399 | − | 0.520549i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −7.64351 | + | 0.894952i | −1.20854 | + | 0.141504i | ||||
\(41\) | −0.756366 | − | 0.756366i | −0.118125 | − | 0.118125i | 0.645574 | − | 0.763698i | \(-0.276618\pi\) |
−0.763698 | + | 0.645574i | \(0.776618\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.53775 | + | 3.71245i | 0.234504 | + | 0.566143i | 0.996697 | − | 0.0812067i | \(-0.0258774\pi\) |
−0.762193 | + | 0.647350i | \(0.775877\pi\) | |||||||
\(44\) | 1.43669 | + | 6.78698i | 0.216589 | + | 1.02318i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.48338 | − | 2.98848i | −0.366154 | − | 0.440627i | ||||
\(47\) | − | 1.08220i | − | 0.157855i | −0.996880 | − | 0.0789273i | \(-0.974851\pi\) | ||
0.996880 | − | 0.0789273i | \(-0.0251495\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 1.08236i | − | 0.154623i | ||||||
\(50\) | −2.61372 | + | 2.17196i | −0.369636 | + | 0.307162i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −10.0776 | − | 6.55645i | −1.39751 | − | 0.909215i | ||||
\(53\) | 2.90450 | + | 7.01208i | 0.398963 | + | 0.963183i | 0.987912 | + | 0.155013i | \(0.0495418\pi\) |
−0.588949 | + | 0.808170i | \(0.700458\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.67351 | + | 6.67351i | 0.899856 | + | 0.899856i | ||||
\(56\) | −7.02073 | + | 3.92024i | −0.938184 | + | 0.523864i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.37700 | + | 6.41211i | −0.443421 | + | 0.841951i | ||||
\(59\) | −10.3425 | + | 4.28402i | −1.34648 | + | 0.557732i | −0.935311 | − | 0.353826i | \(-0.884880\pi\) |
−0.411172 | + | 0.911558i | \(0.634880\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.97711 | + | 7.18739i | −0.381180 | + | 0.920251i | 0.610558 | + | 0.791972i | \(0.290945\pi\) |
−0.991738 | + | 0.128279i | \(0.959055\pi\) | |||||||
\(62\) | 4.04183 | + | 0.373095i | 0.513312 | + | 0.0473831i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.81062 | + | 4.19708i | 0.851327 | + | 0.524635i | ||||
\(65\) | −16.3559 | −2.02870 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.88805 | + | 9.38659i | −0.475001 | + | 1.14676i | 0.486924 | + | 0.873444i | \(0.338119\pi\) |
−0.961926 | + | 0.273311i | \(0.911881\pi\) | |||||||
\(68\) | 1.52467 | − | 8.18820i | 0.184894 | − | 0.992966i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −5.09753 | + | 9.67899i | −0.609271 | + | 1.15686i | ||||
\(71\) | 1.88924 | − | 1.88924i | 0.224211 | − | 0.224211i | −0.586058 | − | 0.810269i | \(-0.699321\pi\) |
0.810269 | + | 0.586058i | \(0.199321\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.00727 | − | 7.00727i | −0.820139 | − | 0.820139i | 0.165989 | − | 0.986128i | \(-0.446918\pi\) |
−0.986128 | + | 0.165989i | \(0.946918\pi\) | |||||||
\(74\) | −9.22638 | + | 2.86064i | −1.07255 | + | 0.332543i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 8.16306 | + | 5.31086i | 0.936367 | + | 0.609197i | ||||
\(77\) | 9.11066 | + | 3.77376i | 1.03826 | + | 0.430060i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 11.0255i | − | 1.24047i | −0.784417 | − | 0.620234i | \(-0.787038\pi\) | ||
0.784417 | − | 0.620234i | \(-0.212962\pi\) | |||||||
\(80\) | 10.8801 | − | 0.266706i | 1.21643 | − | 0.0298186i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.966814 | + | 1.16346i | 0.106767 | + | 0.128482i | ||||
\(83\) | 2.30515 | + | 0.954824i | 0.253023 | + | 0.104806i | 0.505590 | − | 0.862774i | \(-0.331275\pi\) |
−0.252567 | + | 0.967579i | \(0.581275\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.33615 | − | 10.4684i | −0.470321 | − | 1.13546i | ||||
\(86\) | −1.68291 | − | 5.42786i | −0.181473 | − | 0.585301i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.14093 | − | 9.74436i | −0.121624 | − | 1.03875i | ||||
\(89\) | −7.65800 | + | 7.65800i | −0.811747 | + | 0.811747i | −0.984896 | − | 0.173149i | \(-0.944606\pi\) |
0.173149 | + | 0.984896i | \(0.444606\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −15.7890 | + | 6.54003i | −1.65514 | + | 0.685582i | ||||
\(92\) | 3.10868 | + | 4.53127i | 0.324103 | + | 0.472418i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.140676 | + | 1.52398i | −0.0145096 | + | 0.157186i | ||||
\(95\) | 13.2487 | 1.35928 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −11.3029 | −1.14764 | −0.573819 | − | 0.818982i | \(-0.694539\pi\) | ||||
−0.573819 | + | 0.818982i | \(0.694539\pi\) | |||||||
\(98\) | −0.140697 | + | 1.52421i | −0.0142126 | + | 0.153968i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.96305 | − | 2.71885i | 0.396305 | − | 0.271885i | ||||
\(101\) | −3.56392 | + | 1.47622i | −0.354623 | + | 0.146890i | −0.552881 | − | 0.833260i | \(-0.686472\pi\) |
0.198258 | + | 0.980150i | \(0.436472\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.94329 | + | 1.94329i | −0.191478 | + | 0.191478i | −0.796335 | − | 0.604856i | \(-0.793231\pi\) |
0.604856 | + | 0.796335i | \(0.293231\pi\) | |||||||
\(104\) | 13.3392 | + | 10.5430i | 1.30802 | + | 1.03382i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −3.17868 | − | 10.2522i | −0.308741 | − | 0.995777i | ||||
\(107\) | 5.35190 | + | 12.9206i | 0.517388 | + | 1.24908i | 0.939502 | + | 0.342542i | \(0.111288\pi\) |
−0.422114 | + | 0.906543i | \(0.638712\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 12.1425 | + | 5.02958i | 1.16304 | + | 0.481747i | 0.878886 | − | 0.477032i | \(-0.158287\pi\) |
0.284154 | + | 0.958779i | \(0.408287\pi\) | |||||||
\(110\) | −8.53032 | − | 10.2653i | −0.813334 | − | 0.978760i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 10.3964 | − | 4.60795i | 0.982365 | − | 0.435411i | ||||
\(113\) | − | 13.8394i | − | 1.30190i | −0.759121 | − | 0.650950i | \(-0.774371\pi\) | ||
0.759121 | − | 0.650950i | \(-0.225629\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.90664 | + | 2.86082i | 0.644048 | + | 0.266773i | ||||
\(116\) | 5.58909 | − | 8.59072i | 0.518934 | − | 0.797628i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 15.1215 | − | 4.68843i | 1.39205 | − | 0.431605i | ||||
\(119\) | −8.37171 | − | 8.37171i | −0.767433 | − | 0.767433i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.729588 | + | 0.729588i | −0.0663262 | + | 0.0663262i | ||||
\(122\) | 5.12675 | − | 9.73448i | 0.464154 | − | 0.881318i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −5.64331 | − | 1.05081i | −0.506784 | − | 0.0943651i | ||||
\(125\) | −2.70404 | + | 6.52814i | −0.241857 | + | 0.583894i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −5.47542 | −0.485865 | −0.242932 | − | 0.970043i | \(-0.578109\pi\) | ||||
−0.242932 | + | 0.970043i | \(0.578109\pi\) | |||||||
\(128\) | −9.04531 | − | 6.79576i | −0.799500 | − | 0.600666i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 23.0329 | + | 2.12613i | 2.02012 | + | 0.186474i | ||||
\(131\) | −8.03254 | + | 19.3923i | −0.701806 | + | 1.69431i | 0.0177195 | + | 0.999843i | \(0.494359\pi\) |
−0.719525 | + | 0.694466i | \(0.755641\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 12.7894 | − | 5.29756i | 1.10899 | − | 0.459357i | ||||
\(134\) | 6.69544 | − | 12.7130i | 0.578398 | − | 1.09824i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.21148 | + | 11.3327i | −0.275382 | + | 0.971767i | ||||
\(137\) | 3.73965 | + | 3.73965i | 0.319500 | + | 0.319500i | 0.848575 | − | 0.529075i | \(-0.177461\pi\) |
−0.529075 | + | 0.848575i | \(0.677461\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.05949 | − | 9.80047i | −0.344321 | − | 0.831265i | −0.997268 | − | 0.0738616i | \(-0.976468\pi\) |
0.652947 | − | 0.757403i | \(-0.273532\pi\) | |||||||
\(140\) | 8.43666 | − | 12.9676i | 0.713028 | − | 1.09596i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −2.90606 | + | 2.41489i | −0.243871 | + | 0.202653i | ||||
\(143\) | − | 20.8515i | − | 1.74369i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 13.9427i | − | 1.15788i | ||||||
\(146\) | 8.95694 | + | 10.7787i | 0.741282 | + | 0.892052i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 13.3647 | − | 2.82908i | 1.09857 | − | 0.232549i | ||||
\(149\) | −4.32999 | − | 10.4535i | −0.354727 | − | 0.856386i | −0.996023 | − | 0.0890929i | \(-0.971603\pi\) |
0.641297 | − | 0.767293i | \(-0.278397\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 12.1795 | + | 12.1795i | 0.991157 | + | 0.991157i | 0.999961 | − | 0.00880460i | \(-0.00280263\pi\) |
−0.00880460 | + | 0.999961i | \(0.502803\pi\) | |||||||
\(152\) | −10.8051 | − | 8.54002i | −0.876407 | − | 0.692687i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −12.3393 | − | 6.49861i | −0.994330 | − | 0.523673i | ||||
\(155\) | −7.21481 | + | 2.98847i | −0.579507 | + | 0.240040i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.53996 | + | 13.3746i | −0.442137 | + | 1.06741i | 0.533061 | + | 0.846077i | \(0.321042\pi\) |
−0.975198 | + | 0.221336i | \(0.928958\pi\) | |||||||
\(158\) | −1.43322 | + | 15.5264i | −0.114021 | + | 1.23522i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −15.3563 | − | 1.03874i | −1.21403 | − | 0.0821196i | ||||
\(161\) | 7.81117 | 0.615607 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.79233 | − | 13.9839i | 0.453690 | − | 1.09530i | −0.517218 | − | 0.855854i | \(-0.673032\pi\) |
0.970908 | − | 0.239451i | \(-0.0769675\pi\) | |||||||
\(164\) | −1.21025 | − | 1.76409i | −0.0945049 | − | 0.137752i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.12205 | − | 1.64426i | −0.242318 | − | 0.127619i | ||||
\(167\) | −4.07626 | + | 4.07626i | −0.315430 | + | 0.315430i | −0.847009 | − | 0.531579i | \(-0.821599\pi\) |
0.531579 | + | 0.847009i | \(0.321599\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 16.3598 | + | 16.3598i | 1.25844 | + | 1.25844i | ||||
\(170\) | 4.74548 | + | 15.3055i | 0.363962 | + | 1.17388i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.66434 | + | 7.86242i | 0.126905 | + | 0.599504i | ||||
\(173\) | −4.29724 | − | 1.77998i | −0.326713 | − | 0.135329i | 0.213297 | − | 0.976987i | \(-0.431580\pi\) |
−0.540010 | + | 0.841658i | \(0.681580\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | − | 6.83165i | − | 0.516424i | ||||||
\(176\) | 0.340011 | + | 13.8706i | 0.0256293 | + | 1.04553i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 11.7797 | − | 9.78873i | 0.882924 | − | 0.733696i | ||||
\(179\) | 0.273384 | + | 0.113240i | 0.0204337 | + | 0.00846392i | 0.392877 | − | 0.919591i | \(-0.371480\pi\) |
−0.372443 | + | 0.928055i | \(0.621480\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.00336 | + | 9.66497i | 0.297567 | + | 0.718391i | 0.999978 | + | 0.00661937i | \(0.00210703\pi\) |
−0.702411 | + | 0.711772i | \(0.747893\pi\) | |||||||
\(182\) | 23.0847 | − | 7.15741i | 1.71115 | − | 0.530543i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.78871 | − | 6.78516i | −0.279307 | − | 0.500209i | ||||
\(185\) | 13.1413 | − | 13.1413i | 0.966165 | − | 0.966165i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 13.3457 | − | 5.52796i | 0.975932 | − | 0.404244i | ||||
\(188\) | 0.396208 | − | 2.12782i | 0.0288964 | − | 0.155187i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −18.6571 | − | 1.72221i | −1.35353 | − | 0.124942i | ||||
\(191\) | −15.1625 | −1.09712 | −0.548561 | − | 0.836110i | \(-0.684824\pi\) | ||||
−0.548561 | + | 0.836110i | \(0.684824\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −18.3549 | −1.32122 | −0.660608 | − | 0.750731i | \(-0.729701\pi\) | ||||
−0.660608 | + | 0.750731i | \(0.729701\pi\) | |||||||
\(194\) | 15.9171 | + | 1.46928i | 1.14278 | + | 0.105488i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.396268 | − | 2.12814i | 0.0283048 | − | 0.152010i | ||||
\(197\) | 6.65334 | − | 2.75590i | 0.474031 | − | 0.196350i | −0.132861 | − | 0.991135i | \(-0.542416\pi\) |
0.606891 | + | 0.794785i | \(0.292416\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.849057 | + | 0.849057i | −0.0601880 | + | 0.0601880i | −0.736560 | − | 0.676372i | \(-0.763551\pi\) |
0.676372 | + | 0.736560i | \(0.263551\pi\) | |||||||
\(200\) | −5.93430 | + | 3.31360i | −0.419618 | + | 0.234307i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 5.21070 | − | 1.61558i | 0.366624 | − | 0.113672i | ||||
\(203\) | −5.57510 | − | 13.4595i | −0.391295 | − | 0.944671i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.68885 | − | 1.11376i | −0.187797 | − | 0.0777883i | ||||
\(206\) | 2.98921 | − | 2.48398i | 0.208268 | − | 0.173067i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −17.4142 | − | 16.5809i | −1.20746 | − | 1.14968i | ||||
\(209\) | 16.8901i | 1.16831i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.40729 | − | 3.06820i | −0.509939 | − | 0.211224i | 0.112852 | − | 0.993612i | \(-0.464001\pi\) |
−0.622791 | + | 0.782388i | \(0.714001\pi\) | |||||||
\(212\) | 3.14361 | + | 14.8506i | 0.215904 | + | 1.01994i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5.85712 | − | 18.8909i | −0.400384 | − | 1.29135i | ||||
\(215\) | 7.73098 | + | 7.73098i | 0.527248 | + | 0.527248i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.76978 | + | 5.76978i | −0.391678 | + | 0.391678i | ||||
\(218\) | −16.4456 | − | 8.66121i | −1.11384 | − | 0.586611i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 10.6782 | + | 15.5648i | 0.719925 | + | 1.04938i | ||||
\(221\) | −9.58012 | + | 23.1285i | −0.644429 | + | 1.55579i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.188370 | 0.0126142 | 0.00630710 | − | 0.999980i | \(-0.497992\pi\) | ||||
0.00630710 | + | 0.999980i | \(0.497992\pi\) | |||||||
\(224\) | −15.2394 | + | 5.13760i | −1.01823 | + | 0.343271i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.79900 | + | 19.4890i | −0.119668 | + | 1.29639i | ||||
\(227\) | 0.106761 | − | 0.257744i | 0.00708599 | − | 0.0171071i | −0.920297 | − | 0.391221i | \(-0.872053\pi\) |
0.927383 | + | 0.374113i | \(0.122053\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 2.03685 | − | 0.843689i | 0.134599 | − | 0.0557526i | −0.314367 | − | 0.949301i | \(-0.601792\pi\) |
0.448966 | + | 0.893549i | \(0.351792\pi\) | |||||||
\(230\) | −9.35423 | − | 4.92649i | −0.616800 | − | 0.324843i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −8.98743 | + | 11.3711i | −0.590054 | + | 0.746552i | ||||
\(233\) | 4.32675 | + | 4.32675i | 0.283455 | + | 0.283455i | 0.834485 | − | 0.551030i | \(-0.185765\pi\) |
−0.551030 | + | 0.834485i | \(0.685765\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.12681 | − | 2.72036i | −0.0735049 | − | 0.177456i | ||||
\(236\) | −21.9040 | + | 4.63670i | −1.42583 | + | 0.301824i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 10.7010 | + | 12.8775i | 0.693644 | + | 0.834725i | ||||
\(239\) | − | 8.26905i | − | 0.534880i | −0.963575 | − | 0.267440i | \(-0.913822\pi\) | ||
0.963575 | − | 0.267440i | \(-0.0861777\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 22.7291i | 1.46411i | 0.681244 | + | 0.732057i | \(0.261439\pi\) | ||||
−0.681244 | + | 0.732057i | \(0.738561\pi\) | |||||||
\(242\) | 1.12227 | − | 0.932585i | 0.0721419 | − | 0.0599488i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −8.48503 | + | 13.0419i | −0.543198 | + | 0.834923i | ||||
\(245\) | −1.12698 | − | 2.72077i | −0.0720000 | − | 0.173823i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −20.6978 | − | 20.6978i | −1.31697 | − | 1.31697i | ||||
\(248\) | 7.81046 | + | 2.21335i | 0.495965 | + | 0.140548i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 4.65651 | − | 8.84159i | 0.294503 | − | 0.559191i | ||||
\(251\) | 12.3335 | − | 5.10871i | 0.778485 | − | 0.322459i | 0.0421812 | − | 0.999110i | \(-0.486569\pi\) |
0.736304 | + | 0.676651i | \(0.236569\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.64714 | + | 8.80497i | −0.229294 | + | 0.553564i | ||||
\(254\) | 7.71063 | + | 0.711757i | 0.483808 | + | 0.0446596i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 11.8545 | + | 10.7458i | 0.740903 | + | 0.671612i | ||||
\(257\) | −15.9974 | −0.997893 | −0.498947 | − | 0.866633i | \(-0.666280\pi\) | ||||
−0.498947 | + | 0.866633i | \(0.666280\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 7.43116 | − | 17.9404i | 0.461750 | − | 1.11476i | ||||
\(260\) | −32.1591 | − | 5.98815i | −1.99442 | − | 0.371369i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 13.8325 | − | 26.2645i | 0.854572 | − | 1.62263i | ||||
\(263\) | 4.44583 | − | 4.44583i | 0.274141 | − | 0.274141i | −0.556623 | − | 0.830765i | \(-0.687903\pi\) |
0.830765 | + | 0.556623i | \(0.187903\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 14.6023 | + | 14.6023i | 0.897011 | + | 0.897011i | ||||
\(266\) | −18.6991 | + | 5.79765i | −1.14651 | + | 0.355477i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −11.0813 | + | 17.0325i | −0.676897 | + | 1.04042i | ||||
\(269\) | 11.1204 | + | 4.60621i | 0.678021 | + | 0.280846i | 0.695000 | − | 0.719010i | \(-0.255405\pi\) |
−0.0169781 | + | 0.999856i | \(0.505405\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 18.7073i | − | 1.13638i | −0.822896 | − | 0.568192i | \(-0.807643\pi\) | ||
0.822896 | − | 0.568192i | \(-0.192357\pi\) | |||||||
\(272\) | 5.99564 | − | 15.5415i | 0.363539 | − | 0.942341i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.78015 | − | 5.75240i | −0.288780 | − | 0.347515i | ||||
\(275\) | 7.70082 | + | 3.18978i | 0.464377 | + | 0.192351i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.13646 | − | 9.98630i | −0.248536 | − | 0.600019i | 0.749544 | − | 0.661954i | \(-0.230273\pi\) |
−0.998080 | + | 0.0619354i | \(0.980273\pi\) | |||||||
\(278\) | 4.44270 | + | 14.3290i | 0.266456 | + | 0.859395i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −13.5664 | + | 17.1646i | −0.810748 | + | 1.02578i | ||||
\(281\) | 13.2105 | − | 13.2105i | 0.788071 | − | 0.788071i | −0.193106 | − | 0.981178i | \(-0.561856\pi\) |
0.981178 | + | 0.193106i | \(0.0618563\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −21.9884 | + | 9.10789i | −1.30707 | + | 0.541408i | −0.924029 | − | 0.382321i | \(-0.875125\pi\) |
−0.383045 | + | 0.923730i | \(0.625125\pi\) | |||||||
\(284\) | 4.40631 | − | 3.02295i | 0.261466 | − | 0.179379i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.71051 | + | 29.3636i | −0.160276 | + | 1.73630i | ||||
\(287\) | −3.04100 | −0.179504 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −0.342832 | −0.0201666 | ||||||||
\(290\) | −1.81244 | + | 19.6345i | −0.106430 | + | 1.15298i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −11.2123 | − | 16.3432i | −0.656148 | − | 0.956413i | ||||
\(293\) | 18.8878 | − | 7.82359i | 1.10344 | − | 0.457059i | 0.244764 | − | 0.969583i | \(-0.421289\pi\) |
0.858673 | + | 0.512524i | \(0.171289\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −21.5378 | + | 21.5378i | −1.25398 | + | 1.25398i | ||||
\(296\) | −19.1883 | + | 2.24669i | −1.11530 | + | 0.130586i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 4.73874 | + | 15.2838i | 0.274508 | + | 0.885366i | ||||
\(299\) | −6.32060 | − | 15.2593i | −0.365530 | − | 0.882466i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 10.5543 | + | 4.37173i | 0.608340 | + | 0.251983i | ||||
\(302\) | −15.5683 | − | 18.7348i | −0.895856 | − | 1.07807i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 14.1059 | + | 13.4308i | 0.809026 | + | 0.770312i | ||||
\(305\) | 21.1670i | 1.21202i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 10.7709 | + | 4.46145i | 0.614728 | + | 0.254629i | 0.668249 | − | 0.743938i | \(-0.267044\pi\) |
−0.0535206 | + | 0.998567i | \(0.517044\pi\) | |||||||
\(308\) | 16.5318 | + | 10.7555i | 0.941986 | + | 0.612853i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 10.5486 | − | 3.27058i | 0.599118 | − | 0.185757i | ||||
\(311\) | 6.79085 | + | 6.79085i | 0.385074 | + | 0.385074i | 0.872926 | − | 0.487852i | \(-0.162220\pi\) |
−0.487852 | + | 0.872926i | \(0.662220\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 12.7080 | − | 12.7080i | 0.718300 | − | 0.718300i | −0.249957 | − | 0.968257i | \(-0.580417\pi\) |
0.968257 | + | 0.249957i | \(0.0804166\pi\) | |||||||
\(314\) | 9.54011 | − | 18.1144i | 0.538379 | − | 1.02225i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4.03661 | − | 21.6784i | 0.227077 | − | 1.21951i | ||||
\(317\) | 6.89303 | − | 16.6412i | 0.387151 | − | 0.934665i | −0.603390 | − | 0.797446i | \(-0.706184\pi\) |
0.990541 | − | 0.137219i | \(-0.0438163\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 17.7750 | 0.995208 | ||||||||
\(320\) | 21.4902 | + | 3.45897i | 1.20134 | + | 0.193363i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −10.9999 | − | 1.01539i | −0.613001 | − | 0.0565852i | ||||
\(323\) | 7.76010 | − | 18.7345i | 0.431783 | − | 1.04242i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −13.3457 | + | 5.52799i | −0.740289 | + | 0.306638i | ||||
\(326\) | −9.97470 | + | 18.9396i | −0.552447 | + | 1.04897i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.47500 | + | 2.64156i | 0.0814430 | + | 0.145856i | ||||
\(329\) | −2.17550 | − | 2.17550i | −0.119939 | − | 0.119939i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.259261 | + | 0.625913i | 0.0142503 | + | 0.0344033i | 0.930845 | − | 0.365415i | \(-0.119073\pi\) |
−0.916594 | + | 0.399819i | \(0.869073\pi\) | |||||||
\(332\) | 4.18282 | + | 2.72133i | 0.229562 | + | 0.149352i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 6.27017 | − | 5.21042i | 0.343089 | − | 0.285101i | ||||
\(335\) | 27.6438i | 1.51034i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 24.3244i | − | 1.32504i | −0.749046 | − | 0.662518i | \(-0.769488\pi\) | ||
0.749046 | − | 0.662518i | \(-0.230512\pi\) | |||||||
\(338\) | −20.9116 | − | 25.1649i | −1.13744 | − | 1.36879i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −4.69312 | − | 22.1705i | −0.254520 | − | 1.20236i | ||||
\(341\) | −3.80987 | − | 9.19783i | −0.206316 | − | 0.498091i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 11.8960 | + | 11.8960i | 0.642326 | + | 0.642326i | ||||
\(344\) | −1.32172 | − | 11.2884i | −0.0712626 | − | 0.608631i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 5.82011 | + | 3.06521i | 0.312891 | + | 0.164787i | ||||
\(347\) | −6.95491 | + | 2.88082i | −0.373359 | + | 0.154650i | −0.561469 | − | 0.827498i | \(-0.689764\pi\) |
0.188110 | + | 0.982148i | \(0.439764\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 11.9159 | − | 28.7676i | 0.637845 | − | 1.53989i | −0.191700 | − | 0.981454i | \(-0.561400\pi\) |
0.829545 | − | 0.558440i | \(-0.188600\pi\) | |||||||
\(350\) | −0.888055 | + | 9.62051i | −0.0474685 | + | 0.514238i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.32424 | − | 19.5771i | 0.0705824 | − | 1.04346i | ||||
\(353\) | 22.1334 | 1.17804 | 0.589021 | − | 0.808118i | \(-0.299514\pi\) | ||||
0.589021 | + | 0.808118i | \(0.299514\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.78193 | − | 6.71616i | 0.147649 | − | 0.356457i | ||||
\(356\) | −17.8609 | + | 12.2535i | −0.946626 | + | 0.649434i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.370267 | − | 0.195005i | −0.0195692 | − | 0.0103063i | ||||
\(359\) | 10.1669 | − | 10.1669i | 0.536586 | − | 0.536586i | −0.385939 | − | 0.922524i | \(-0.626122\pi\) |
0.922524 | + | 0.385939i | \(0.126122\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.33060 | + | 3.33060i | 0.175295 | + | 0.175295i | ||||
\(362\) | −4.38128 | − | 14.1309i | −0.230275 | − | 0.742702i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −33.4389 | + | 7.07845i | −1.75267 | + | 0.371011i | ||||
\(365\) | −24.9106 | − | 10.3183i | −1.30388 | − | 0.540084i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 9.77761i | 0.510387i | 0.966890 | + | 0.255194i | \(0.0821392\pi\) | ||||
−0.966890 | + | 0.255194i | \(0.917861\pi\) | |||||||
\(368\) | 4.45334 | + | 10.0475i | 0.232147 | + | 0.523764i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −20.2141 | + | 16.7976i | −1.05088 | + | 0.873267i | ||||
\(371\) | 19.9350 | + | 8.25734i | 1.03497 | + | 0.428700i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.04735 | − | 4.94275i | −0.106008 | − | 0.255926i | 0.861971 | − | 0.506958i | \(-0.169230\pi\) |
−0.967979 | + | 0.251032i | \(0.919230\pi\) | |||||||
\(374\) | −19.5123 | + | 6.04980i | −1.00896 | + | 0.312828i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.834549 | + | 2.94495i | −0.0430386 | + | 0.151874i | ||||
\(377\) | −21.7821 | + | 21.7821i | −1.12184 | + | 1.12184i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −29.0333 | + | 12.0260i | −1.49134 | + | 0.617733i | −0.971608 | − | 0.236596i | \(-0.923968\pi\) |
−0.519732 | + | 0.854329i | \(0.673968\pi\) | |||||||
\(380\) | 26.0496 | + | 4.85053i | 1.33631 | + | 0.248827i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 21.3523 | + | 1.97100i | 1.09248 | + | 0.100845i | ||||
\(383\) | −2.47568 | −0.126501 | −0.0632507 | − | 0.997998i | \(-0.520147\pi\) | ||||
−0.0632507 | + | 0.997998i | \(0.520147\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 26.8311 | 1.36744 | ||||||||
\(386\) | 25.8479 | + | 2.38598i | 1.31562 | + | 0.121443i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −22.2238 | − | 4.13816i | −1.12824 | − | 0.210083i | ||||
\(389\) | 9.49742 | − | 3.93396i | 0.481538 | − | 0.199460i | −0.128691 | − | 0.991685i | \(-0.541077\pi\) |
0.610229 | + | 0.792225i | \(0.291077\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 8.09081 | − | 8.09081i | 0.409170 | − | 0.409170i | ||||
\(392\) | −0.834675 | + | 2.94539i | −0.0421574 | + | 0.148765i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −9.72766 | + | 3.01606i | −0.490072 | + | 0.151947i | ||||
\(395\) | −11.4800 | − | 27.7153i | −0.577623 | − | 1.39451i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −13.8666 | − | 5.74373i | −0.695944 | − | 0.288269i | 0.00653022 | − | 0.999979i | \(-0.497921\pi\) |
−0.702474 | + | 0.711709i | \(0.747921\pi\) | |||||||
\(398\) | 1.30603 | − | 1.08529i | 0.0654656 | − | 0.0544009i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 8.78757 | − | 3.89489i | 0.439379 | − | 0.194745i | ||||
\(401\) | − | 21.9112i | − | 1.09419i | −0.837069 | − | 0.547097i | \(-0.815733\pi\) | ||
0.837069 | − | 0.547097i | \(-0.184267\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 15.9401 | + | 6.60262i | 0.794034 | + | 0.328900i | ||||
\(404\) | −7.54786 | + | 1.59775i | −0.375520 | + | 0.0794913i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 6.10139 | + | 19.6787i | 0.302807 | + | 0.976639i | ||||
\(407\) | 16.7532 | + | 16.7532i | 0.830426 | + | 0.830426i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 13.0005 | − | 13.0005i | 0.642835 | − | 0.642835i | −0.308417 | − | 0.951251i | \(-0.599799\pi\) |
0.951251 | + | 0.308417i | \(0.0997991\pi\) | |||||||
\(410\) | 3.64173 | + | 1.91795i | 0.179852 | + | 0.0947209i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.53237 | + | 3.10944i | −0.223294 | + | 0.153191i | ||||
\(413\) | −12.1792 | + | 29.4033i | −0.599301 | + | 1.44684i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 6.78872 | 0.333245 | ||||||||
\(416\) | 22.3678 | + | 25.6133i | 1.09667 | + | 1.25580i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 2.19557 | − | 23.7851i | 0.107389 | − | 1.16337i | ||||
\(419\) | 7.98199 | − | 19.2702i | 0.389946 | − | 0.941412i | −0.600005 | − | 0.799997i | \(-0.704835\pi\) |
0.989950 | − | 0.141416i | \(-0.0451654\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.11481 | + | 2.11863i | −0.249281 | + | 0.103255i | −0.503825 | − | 0.863806i | \(-0.668074\pi\) |
0.254545 | + | 0.967061i | \(0.418074\pi\) | |||||||
\(422\) | 10.0323 | + | 5.28361i | 0.488365 | + | 0.257202i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.49647 | − | 21.3216i | −0.121239 | − | 1.03547i | ||||
\(425\) | −7.07622 | − | 7.07622i | −0.343247 | − | 0.343247i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 8.46379 | + | 20.4334i | 0.409591 | + | 0.988841i | ||||
\(428\) | 5.79250 | + | 27.3640i | 0.279991 | + | 1.32269i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −9.88201 | − | 11.8919i | −0.476553 | − | 0.573480i | ||||
\(431\) | − | 5.20156i | − | 0.250551i | −0.992122 | − | 0.125275i | \(-0.960019\pi\) | ||
0.992122 | − | 0.125275i | \(-0.0399814\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 6.44939i | − | 0.309938i | −0.987919 | − | 0.154969i | \(-0.950472\pi\) | ||
0.987919 | − | 0.154969i | \(-0.0495278\pi\) | |||||||
\(434\) | 8.87518 | − | 7.37514i | 0.426022 | − | 0.354018i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 22.0332 | + | 14.3347i | 1.05520 | + | 0.686509i | ||||
\(437\) | 5.11982 | + | 12.3603i | 0.244914 | + | 0.591275i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −20.5461 | − | 20.5461i | −0.980610 | − | 0.980610i | 0.0192051 | − | 0.999816i | \(-0.493886\pi\) |
−0.999816 | + | 0.0192051i | \(0.993886\pi\) | |||||||
\(440\) | −13.0141 | − | 23.3068i | −0.620421 | − | 1.11111i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 16.4975 | − | 31.3248i | 0.784705 | − | 1.48997i | ||||
\(443\) | 16.1487 | − | 6.68902i | 0.767249 | − | 0.317805i | 0.0354912 | − | 0.999370i | \(-0.488700\pi\) |
0.731757 | + | 0.681565i | \(0.238700\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −11.2765 | + | 27.2239i | −0.534557 | + | 1.29054i | ||||
\(446\) | −0.265268 | − | 0.0244865i | −0.0125608 | − | 0.00115947i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 22.1284 | − | 5.25391i | 1.04547 | − | 0.248224i | ||||
\(449\) | 0.794308 | 0.0374857 | 0.0187428 | − | 0.999824i | \(-0.494034\pi\) | ||||
0.0187428 | + | 0.999824i | \(0.494034\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.41988 | − | 3.42790i | 0.0668596 | − | 0.161413i | ||||
\(452\) | 5.06680 | − | 27.2111i | 0.238322 | − | 1.27990i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −0.183848 | + | 0.349084i | −0.00862844 | + | 0.0163833i | ||||
\(455\) | −32.8798 | + | 32.8798i | −1.54143 | + | 1.54143i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 21.2796 | + | 21.2796i | 0.995420 | + | 0.995420i | 0.999990 | − | 0.00456968i | \(-0.00145458\pi\) |
−0.00456968 | + | 0.999990i | \(0.501455\pi\) | |||||||
\(458\) | −2.97801 | + | 0.923333i | −0.139153 | + | 0.0431445i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 12.5325 | + | 8.15359i | 0.584330 | + | 0.380163i | ||||
\(461\) | 0.541763 | + | 0.224405i | 0.0252324 | + | 0.0104516i | 0.395264 | − | 0.918568i | \(-0.370653\pi\) |
−0.370032 | + | 0.929019i | \(0.620653\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.0365i | 0.605859i | 0.953013 | + | 0.302929i | \(0.0979646\pi\) | ||||
−0.953013 | + | 0.302929i | \(0.902035\pi\) | |||||||
\(464\) | 14.1345 | − | 14.8449i | 0.656177 | − | 0.689155i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −5.53061 | − | 6.65549i | −0.256200 | − | 0.308310i | ||||
\(467\) | −36.1793 | − | 14.9860i | −1.67418 | − | 0.693467i | −0.675156 | − | 0.737675i | \(-0.735924\pi\) |
−0.999022 | + | 0.0442081i | \(0.985924\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 11.0535 | + | 26.6856i | 0.510405 | + | 1.23223i | ||||
\(470\) | 1.23318 | + | 3.97735i | 0.0568823 | + | 0.183462i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 31.4485 | − | 3.68220i | 1.44753 | − | 0.169487i | ||||
\(473\) | −9.85587 | + | 9.85587i | −0.453174 | + | 0.453174i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 10.8103 | − | 4.47779i | 0.496012 | − | 0.205455i | ||||
\(476\) | −13.3955 | − | 19.5255i | −0.613981 | − | 0.894950i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.07490 | + | 11.6447i | −0.0491650 | + | 0.532616i | ||||
\(479\) | −27.6976 | −1.26554 | −0.632768 | − | 0.774341i | \(-0.718081\pi\) | ||||
−0.632768 | + | 0.774341i | \(0.718081\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −41.0600 | −1.87217 | ||||||||
\(482\) | 2.95459 | − | 32.0078i | 0.134578 | − | 1.45792i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.70163 | + | 1.16741i | −0.0773469 | + | 0.0530639i | ||||
\(485\) | −28.4125 | + | 11.7689i | −1.29015 | + | 0.534396i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 22.8658 | − | 22.8658i | 1.03615 | − | 1.03615i | 0.0368273 | − | 0.999322i | \(-0.488275\pi\) |
0.999322 | − | 0.0368273i | \(-0.0117251\pi\) | |||||||
\(488\) | 13.6442 | − | 17.2630i | 0.617643 | − | 0.781459i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.23336 | + | 3.97795i | 0.0557177 | + | 0.179706i | ||||
\(491\) | 10.1610 | + | 24.5308i | 0.458559 | + | 1.10706i | 0.968981 | + | 0.247135i | \(0.0794890\pi\) |
−0.510423 | + | 0.859924i | \(0.670511\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −19.7160 | − | 8.16665i | −0.887965 | − | 0.367807i | ||||
\(494\) | 26.4566 | + | 31.8377i | 1.19034 | + | 1.43245i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −10.7112 | − | 4.13220i | −0.480946 | − | 0.185541i | ||||
\(497\) | − | 7.59575i | − | 0.340716i | ||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −11.6135 | − | 4.81046i | −0.519890 | − | 0.215346i | 0.107278 | − | 0.994229i | \(-0.465786\pi\) |
−0.627169 | + | 0.778883i | \(0.715786\pi\) | |||||||
\(500\) | −7.70675 | + | 11.8457i | −0.344656 | + | 0.529754i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −18.0325 | + | 5.59097i | −0.804829 | + | 0.249537i | ||||
\(503\) | −12.9948 | − | 12.9948i | −0.579412 | − | 0.579412i | 0.355330 | − | 0.934741i | \(-0.384369\pi\) |
−0.934741 | + | 0.355330i | \(0.884369\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −7.42167 | + | 7.42167i | −0.330260 | + | 0.330260i | ||||
\(506\) | 6.28056 | − | 11.9253i | 0.279205 | − | 0.530144i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −10.7658 | − | 2.00463i | −0.477655 | − | 0.0889411i | ||||
\(509\) | 13.3636 | − | 32.2627i | 0.592333 | − | 1.43002i | −0.288911 | − | 0.957356i | \(-0.593293\pi\) |
0.881244 | − | 0.472662i | \(-0.156707\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −28.1730 | −1.24630 | ||||||||
\(512\) | −15.2969 | − | 16.6735i | −0.676034 | − | 0.736871i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 22.5280 | + | 2.07953i | 0.993669 | + | 0.0917242i | ||||
\(515\) | −2.86152 | + | 6.90832i | −0.126094 | + | 0.304417i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.46806 | − | 1.43652i | 0.152525 | − | 0.0631780i | ||||
\(518\) | −12.7969 | + | 24.2982i | −0.562261 | + | 1.06760i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 44.5089 | + | 12.6131i | 1.95185 | + | 0.553120i | ||||
\(521\) | −1.74966 | − | 1.74966i | −0.0766541 | − | 0.0766541i | 0.667740 | − | 0.744394i | \(-0.267262\pi\) |
−0.744394 | + | 0.667740i | \(0.767262\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 7.05117 | + | 17.0230i | 0.308326 | + | 0.744366i | 0.999760 | + | 0.0219253i | \(0.00697960\pi\) |
−0.691433 | + | 0.722440i | \(0.743020\pi\) | |||||||
\(524\) | −22.8934 | + | 35.1883i | −1.00010 | + | 1.53721i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −6.83865 | + | 5.68281i | −0.298179 | + | 0.247782i | ||||
\(527\) | 11.9527i | 0.520667i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 15.4509i | − | 0.671779i | ||||||
\(530\) | −18.6651 | − | 22.4615i | −0.810762 | − | 0.975665i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 27.0862 | − | 5.73369i | 1.17434 | − | 0.248587i | ||||
\(533\) | 2.46070 | + | 5.94064i | 0.106585 | + | 0.257318i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 26.9065 | + | 26.9065i | 1.16327 | + | 1.16327i | ||||
\(536\) | 17.8190 | − | 22.5451i | 0.769665 | − | 0.973802i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −15.0612 | − | 7.93214i | −0.649336 | − | 0.341979i | ||||
\(539\) | 3.46858 | − | 1.43673i | 0.149402 | − | 0.0618845i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.86315 | − | 18.9833i | 0.338063 | − | 0.816157i | −0.659838 | − | 0.751408i | \(-0.729375\pi\) |
0.997902 | − | 0.0647494i | \(-0.0206248\pi\) | |||||||
\(542\) | −2.43178 | + | 26.3441i | −0.104454 | + | 1.13157i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −10.4635 | + | 21.1065i | −0.448618 | + | 0.904936i | ||||
\(545\) | 35.7599 | 1.53179 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −0.832145 | + | 2.00898i | −0.0355799 | + | 0.0858976i | −0.940671 | − | 0.339321i | \(-0.889803\pi\) |
0.905091 | + | 0.425219i | \(0.139803\pi\) | |||||||
\(548\) | 5.98377 | + | 8.72206i | 0.255614 | + | 0.372588i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −10.4299 | − | 5.49298i | −0.444730 | − | 0.234221i | ||||
\(551\) | 17.6440 | − | 17.6440i | 0.751659 | − | 0.751659i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −22.1643 | − | 22.1643i | −0.942520 | − | 0.942520i | ||||
\(554\) | 4.52694 | + | 14.6007i | 0.192331 | + | 0.620324i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −4.39369 | − | 20.7560i | −0.186334 | − | 0.880249i | ||||
\(557\) | −27.8685 | − | 11.5435i | −1.18083 | − | 0.489115i | −0.296070 | − | 0.955166i | \(-0.595676\pi\) |
−0.884758 | + | 0.466051i | \(0.845676\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 24.1555i | − | 1.02167i | ||||||
\(560\) | 21.3358 | − | 22.4081i | 0.901603 | − | 0.946916i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −20.3206 | + | 16.8861i | −0.857173 | + | 0.712297i | ||||
\(563\) | 17.3847 | + | 7.20096i | 0.732676 | + | 0.303484i | 0.717651 | − | 0.696403i | \(-0.245217\pi\) |
0.0150247 | + | 0.999887i | \(0.495217\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −14.4099 | − | 34.7886i | −0.606229 | − | 1.46357i | ||||
\(566\) | 32.1486 | − | 9.96768i | 1.35131 | − | 0.418973i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −6.59804 | + | 3.68422i | −0.276847 | + | 0.154586i | ||||
\(569\) | 5.37251 | − | 5.37251i | 0.225227 | − | 0.225227i | −0.585468 | − | 0.810695i | \(-0.699089\pi\) |
0.810695 | + | 0.585468i | \(0.199089\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 37.6829 | − | 15.6087i | 1.57698 | − | 0.653206i | 0.589047 | − | 0.808099i | \(-0.299503\pi\) |
0.987931 | + | 0.154893i | \(0.0495033\pi\) | |||||||
\(572\) | 7.63402 | − | 40.9982i | 0.319195 | − | 1.71422i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 4.28241 | + | 0.395303i | 0.178745 | + | 0.0164996i | ||||
\(575\) | 6.60243 | 0.275340 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 28.6100 | 1.19105 | 0.595525 | − | 0.803337i | \(-0.296944\pi\) | ||||
0.595525 | + | 0.803337i | \(0.296944\pi\) | |||||||
\(578\) | 0.482786 | + | 0.0445653i | 0.0200812 | + | 0.00185367i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 5.10464 | − | 27.4143i | 0.211959 | − | 1.13832i | ||||
\(581\) | 6.55342 | − | 2.71452i | 0.271882 | − | 0.112617i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −18.6158 | + | 18.6158i | −0.770987 | + | 0.770987i | ||||
\(584\) | 13.6649 | + | 24.4724i | 0.565459 | + | 1.01268i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −27.6153 | + | 8.56213i | −1.14078 | + | 0.353698i | ||||
\(587\) | 14.0646 | + | 33.9550i | 0.580509 | + | 1.40147i | 0.892353 | + | 0.451339i | \(0.149053\pi\) |
−0.311844 | + | 0.950133i | \(0.600947\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −12.9118 | − | 5.34826i | −0.532023 | − | 0.220371i | ||||
\(590\) | 33.1298 | − | 27.5303i | 1.36393 | − | 1.13341i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 27.3135 | − | 0.669539i | 1.12258 | − | 0.0275179i | ||||
\(593\) | 28.6736i | 1.17749i | 0.808321 | + | 0.588743i | \(0.200377\pi\) | ||||
−0.808321 | + | 0.588743i | \(0.799623\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −29.7611 | − | 12.3274i | −1.22009 | − | 0.505376i | ||||
\(596\) | −4.68646 | − | 22.1390i | −0.191965 | − | 0.906850i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 6.91726 | + | 22.3101i | 0.282868 | + | 0.912329i | ||||
\(599\) | 28.5413 | + | 28.5413i | 1.16617 | + | 1.16617i | 0.983100 | + | 0.183067i | \(0.0586027\pi\) |
0.183067 | + | 0.983100i | \(0.441397\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −29.9824 | + | 29.9824i | −1.22301 | + | 1.22301i | −0.256448 | + | 0.966558i | \(0.582552\pi\) |
−0.966558 | + | 0.256448i | \(0.917448\pi\) | |||||||
\(602\) | −14.2946 | − | 7.52836i | −0.582603 | − | 0.306833i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 19.4884 | + | 28.4066i | 0.792970 | + | 1.15585i | ||||
\(605\) | −1.07433 | + | 2.59365i | −0.0436776 | + | 0.105447i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −20.2791 | −0.823105 | −0.411552 | − | 0.911386i | \(-0.635013\pi\) | ||||
−0.411552 | + | 0.911386i | \(0.635013\pi\) | |||||||
\(608\) | −18.1184 | − | 20.7473i | −0.734796 | − | 0.841415i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.75153 | − | 29.8080i | 0.111406 | − | 1.20689i | ||||
\(611\) | −2.48953 | + | 6.01025i | −0.100715 | + | 0.243149i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −22.4278 | + | 9.28988i | −0.905849 | + | 0.375215i | −0.786466 | − | 0.617633i | \(-0.788092\pi\) |
−0.119383 | + | 0.992848i | \(0.538092\pi\) | |||||||
\(614\) | −14.5879 | − | 7.68286i | −0.588721 | − | 0.310055i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −21.8824 | − | 17.2952i | −0.881666 | − | 0.696844i | ||||
\(617\) | 28.6181 | + | 28.6181i | 1.15212 | + | 1.15212i | 0.986127 | + | 0.165993i | \(0.0530829\pi\) |
0.165993 | + | 0.986127i | \(0.446917\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −0.706861 | − | 1.70651i | −0.0284111 | − | 0.0685905i | 0.909037 | − | 0.416715i | \(-0.136819\pi\) |
−0.937448 | + | 0.348124i | \(0.886819\pi\) | |||||||
\(620\) | −15.2799 | + | 3.23450i | −0.613656 | + | 0.129901i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −8.68031 | − | 10.4458i | −0.348049 | − | 0.418839i | ||||
\(623\) | 30.7893i | 1.23355i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 31.2406i | 1.24962i | ||||||||
\(626\) | −19.5477 | + | 16.2438i | −0.781283 | + | 0.649234i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −15.7893 | + | 24.2690i | −0.630064 | + | 0.968440i | ||||
\(629\) | −10.8855 | − | 26.2799i | −0.434032 | − | 1.04785i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 24.6361 | + | 24.6361i | 0.980748 | + | 0.980748i | 0.999818 | − | 0.0190703i | \(-0.00607062\pi\) |
−0.0190703 | + | 0.999818i | \(0.506071\pi\) | |||||||
\(632\) | −8.50246 | + | 30.0034i | −0.338210 | + | 1.19347i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −11.8702 | + | 22.5386i | −0.471424 | + | 0.895122i | ||||
\(635\) | −13.7638 | + | 5.70114i | −0.546198 | + | 0.226243i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.48990 | + | 6.01116i | −0.0986536 | + | 0.238171i | ||||
\(638\) | −25.0312 | − | 2.31060i | −0.990995 | − | 0.0914773i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −29.8134 | − | 7.66456i | −1.17848 | − | 0.302968i | ||||
\(641\) | −0.278463 | −0.0109986 | −0.00549931 | − | 0.999985i | \(-0.501750\pi\) | ||||
−0.00549931 | + | 0.999985i | \(0.501750\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −5.39050 | + | 13.0138i | −0.212581 | + | 0.513215i | −0.993818 | − | 0.111019i | \(-0.964589\pi\) |
0.781238 | + | 0.624234i | \(0.214589\pi\) | |||||||
\(644\) | 15.3584 | + | 2.85979i | 0.605204 | + | 0.112691i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −13.3633 | + | 25.3737i | −0.525772 | + | 0.998316i | ||||
\(647\) | −17.8303 | + | 17.8303i | −0.700980 | + | 0.700980i | −0.964621 | − | 0.263641i | \(-0.915077\pi\) |
0.263641 | + | 0.964621i | \(0.415077\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −27.4575 | − | 27.4575i | −1.07780 | − | 1.07780i | ||||
\(650\) | 19.5124 | − | 6.04983i | 0.765340 | − | 0.237294i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 16.5086 | − | 25.3746i | 0.646527 | − | 0.993745i | ||||
\(653\) | −31.3223 | − | 12.9741i | −1.22574 | − | 0.507716i | −0.326507 | − | 0.945195i | \(-0.605872\pi\) |
−0.899229 | + | 0.437478i | \(0.855872\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 57.1107i | 2.23150i | ||||||||
\(656\) | −1.73375 | − | 3.91165i | −0.0676915 | − | 0.152724i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 2.78081 | + | 3.34640i | 0.108407 | + | 0.130456i | ||||
\(659\) | −38.2358 | − | 15.8378i | −1.48946 | − | 0.616953i | −0.518258 | − | 0.855224i | \(-0.673419\pi\) |
−0.971199 | + | 0.238271i | \(0.923419\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −7.49776 | − | 18.1012i | −0.291629 | − | 0.704055i | 0.708369 | − | 0.705842i | \(-0.249431\pi\) |
−0.999998 | + | 0.00178728i | \(0.999431\pi\) | |||||||
\(662\) | −0.283736 | − | 0.915129i | −0.0110277 | − | 0.0355675i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −5.53661 | − | 4.37598i | −0.214862 | − | 0.169821i | ||||
\(665\) | 26.6334 | − | 26.6334i | 1.03280 | − | 1.03280i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 13.0079 | − | 5.38804i | 0.503667 | − | 0.208626i | ||||
\(668\) | −9.50714 | + | 6.52238i | −0.367842 | + | 0.252358i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 3.59345 | − | 38.9287i | 0.138827 | − | 1.50395i | ||||
\(671\) | −26.9849 | −1.04174 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 18.3856 | 0.708711 | 0.354356 | − | 0.935111i | \(-0.384700\pi\) | ||||
0.354356 | + | 0.935111i | \(0.384700\pi\) | |||||||
\(674\) | −3.16197 | + | 34.2543i | −0.121794 | + | 1.31943i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 26.1771 | + | 38.1562i | 1.00681 | + | 1.46755i | ||||
\(677\) | −34.2111 | + | 14.1707i | −1.31484 | + | 0.544624i | −0.926293 | − | 0.376805i | \(-0.877023\pi\) |
−0.388546 | + | 0.921429i | \(0.627023\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −22.7219 | + | 22.7219i | −0.871986 | + | 0.871986i | ||||
\(680\) | 3.72700 | + | 31.8312i | 0.142924 | + | 1.22067i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 4.16952 | + | 13.4479i | 0.159659 | + | 0.514946i | ||||
\(683\) | −9.51662 | − | 22.9752i | −0.364143 | − | 0.879120i | −0.994685 | − | 0.102964i | \(-0.967167\pi\) |
0.630542 | − | 0.776155i | \(-0.282833\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 13.2943 | + | 5.50668i | 0.507949 | + | 0.210399i | ||||
\(686\) | −15.2059 | − | 18.2987i | −0.580566 | − | 0.698648i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.393889 | + | 16.0685i | 0.0150169 | + | 0.612605i | ||||
\(689\) | − | 45.6250i | − | 1.73817i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 18.8902 | + | 7.82459i | 0.718618 | + | 0.297661i | 0.711866 | − | 0.702316i | \(-0.247851\pi\) |
0.00675270 | + | 0.999977i | \(0.497851\pi\) | |||||||
\(692\) | −7.79758 | − | 5.07308i | −0.296419 | − | 0.192849i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 10.1686 | − | 3.15276i | 0.385993 | − | 0.119677i | ||||
\(695\) | −20.4090 | − | 20.4090i | −0.774156 | − | 0.774156i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3.14987 | + | 3.14987i | −0.119310 | + | 0.119310i | ||||
\(698\) | −20.5199 | + | 38.9623i | −0.776688 | + | 1.47475i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 2.50117 | − | 13.4324i | 0.0945352 | − | 0.507698i | ||||
\(701\) | 5.48707 | − | 13.2470i | 0.207244 | − | 0.500331i | −0.785743 | − | 0.618552i | \(-0.787719\pi\) |
0.992987 | + | 0.118222i | \(0.0377194\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 33.2595 | 1.25440 | ||||||||
\(704\) | −4.40969 | + | 27.3969i | −0.166197 | + | 1.03256i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −31.1688 | − | 2.87715i | −1.17305 | − | 0.108283i | ||||
\(707\) | −4.19683 | + | 10.1320i | −0.157838 | + | 0.381055i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3.85647 | − | 1.59740i | 0.144833 | − | 0.0599917i | −0.309090 | − | 0.951033i | \(-0.600024\pi\) |
0.453922 | + | 0.891041i | \(0.350024\pi\) | |||||||
\(710\) | −4.79063 | + | 9.09626i | −0.179789 | + | 0.341376i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 26.7450 | − | 14.9339i | 1.00231 | − | 0.559673i | ||||
\(713\) | −5.57619 | − | 5.57619i | −0.208830 | − | 0.208830i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −21.7110 | − | 52.4151i | −0.811946 | − | 1.96021i | ||||
\(716\) | 0.496071 | + | 0.322742i | 0.0185390 | + | 0.0120614i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −15.6388 | + | 12.9956i | −0.583636 | + | 0.484993i | ||||
\(719\) | 8.78550i | 0.327644i | 0.986490 | + | 0.163822i | \(0.0523823\pi\) | ||||
−0.986490 | + | 0.163822i | \(0.947618\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 7.81307i | 0.290974i | ||||||||
\(722\) | −4.25729 | − | 5.12319i | −0.158440 | − | 0.190665i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 4.33294 | + | 20.4690i | 0.161032 | + | 0.760724i | ||||
\(725\) | −4.71238 | − | 11.3767i | −0.175013 | − | 0.422520i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −10.0533 | − | 10.0533i | −0.372858 | − | 0.372858i | 0.495659 | − | 0.868517i | \(-0.334927\pi\) |
−0.868517 | + | 0.495659i | \(0.834927\pi\) | |||||||
\(728\) | 48.0097 | − | 5.62129i | 1.77936 | − | 0.208339i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 33.7384 | + | 17.7686i | 1.24871 | + | 0.657647i | ||||
\(731\) | 15.4604 | − | 6.40390i | 0.571823 | − | 0.236857i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 10.3759 | − | 25.0496i | 0.383242 | − | 0.925228i | −0.608093 | − | 0.793866i | \(-0.708065\pi\) |
0.991334 | − | 0.131362i | \(-0.0419350\pi\) | |||||||
\(734\) | 1.27100 | − | 13.7691i | 0.0469136 | − | 0.508226i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.96522 | − | 14.7281i | −0.183021 | − | 0.542885i | ||||
\(737\) | −35.2418 | −1.29815 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −12.3459 | + | 29.8057i | −0.454153 | + | 1.09642i | 0.516575 | + | 0.856242i | \(0.327207\pi\) |
−0.970728 | + | 0.240180i | \(0.922793\pi\) | |||||||
\(740\) | 30.6496 | − | 21.0272i | 1.12670 | − | 0.772975i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −26.9996 | − | 14.2196i | −0.991186 | − | 0.522017i | ||||
\(743\) | −16.0222 | + | 16.0222i | −0.587799 | + | 0.587799i | −0.937035 | − | 0.349236i | \(-0.886441\pi\) |
0.349236 | + | 0.937035i | \(0.386441\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −21.7689 | − | 21.7689i | −0.797551 | − | 0.797551i | ||||
\(746\) | 2.24062 | + | 7.22665i | 0.0820351 | + | 0.264586i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 28.2642 | − | 5.98305i | 1.03344 | − | 0.218762i | ||||
\(749\) | 36.7327 | + | 15.2152i | 1.34218 | + | 0.555951i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 26.5917i | 0.970346i | 0.874418 | + | 0.485173i | \(0.161243\pi\) | ||||
−0.874418 | + | 0.485173i | \(0.838757\pi\) | |||||||
\(752\) | 1.55805 | − | 4.03867i | 0.0568163 | − | 0.147275i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 33.5057 | − | 27.8427i | 1.22020 | − | 1.01397i | ||||
\(755\) | 43.2978 | + | 17.9345i | 1.57577 | + | 0.652704i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.33084 | + | 12.8698i | 0.193753 | + | 0.467760i | 0.990662 | − | 0.136338i | \(-0.0435334\pi\) |
−0.796910 | + | 0.604098i | \(0.793533\pi\) | |||||||
\(758\) | 42.4487 | − | 13.1612i | 1.54181 | − | 0.478037i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −36.0532 | − | 10.2169i | −1.30779 | − | 0.370604i | ||||
\(761\) | −11.8263 | + | 11.8263i | −0.428704 | + | 0.428704i | −0.888187 | − | 0.459483i | \(-0.848035\pi\) |
0.459483 | + | 0.888187i | \(0.348035\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 34.5205 | − | 14.2989i | 1.24973 | − | 0.517653i | ||||
\(764\) | −29.8126 | − | 5.55122i | −1.07858 | − | 0.200836i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 3.48632 | + | 0.321817i | 0.125966 | + | 0.0116277i | ||||
\(767\) | 67.2950 | 2.42988 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 39.2000 | 1.41359 | 0.706795 | − | 0.707419i | \(-0.250140\pi\) | ||||
0.706795 | + | 0.707419i | \(0.250140\pi\) | |||||||
\(770\) | −37.7843 | − | 3.48781i | −1.36165 | − | 0.125692i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −36.0895 | − | 6.72001i | −1.29889 | − | 0.241858i | ||||
\(773\) | −39.7946 | + | 16.4834i | −1.43131 | + | 0.592868i | −0.957675 | − | 0.287852i | \(-0.907059\pi\) |
−0.473636 | + | 0.880721i | \(0.657059\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −4.87693 | + | 4.87693i | −0.175184 | + | 0.175184i | ||||
\(776\) | 30.7583 | + | 8.71638i | 1.10416 | + | 0.312900i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −13.8859 | + | 4.30532i | −0.497833 | + | 0.154353i | ||||
\(779\) | −1.99321 | − | 4.81205i | −0.0714143 | − | 0.172409i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 8.56214 | + | 3.54655i | 0.306377 | + | 0.126906i | ||||
\(782\) | −12.4454 | + | 10.3420i | −0.445048 | + | 0.369828i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 1.55829 | − | 4.03928i | 0.0556531 | − | 0.144260i | ||||
\(785\) | 39.3887i | 1.40584i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 3.18736 | + | 1.32025i | 0.113617 | + | 0.0470618i | 0.438768 | − | 0.898600i | \(-0.355415\pi\) |
−0.325151 | + | 0.945662i | \(0.605415\pi\) | |||||||
\(788\) | 14.0908 | − | 2.98279i | 0.501964 | − | 0.106257i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 12.5637 | + | 40.5217i | 0.446998 | + | 1.44170i | ||||
\(791\) | −27.8209 | − | 27.8209i | −0.989197 | − | 0.989197i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 33.0683 | − | 33.0683i | 1.17429 | − | 1.17429i | ||||
\(794\) | 18.7807 | + | 9.89101i | 0.666501 | + | 0.351019i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.98027 | + | 1.35857i | −0.0701888 | + | 0.0481531i | ||||
\(797\) | 9.15542 | − | 22.1031i | 0.324302 | − | 0.782934i | −0.674693 | − | 0.738099i | \(-0.735724\pi\) |
0.998994 | − | 0.0448349i | \(-0.0142762\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −4.50678 | −0.159438 | ||||||||
\(800\) | −12.8812 | + | 4.34258i | −0.455419 | + | 0.153533i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −2.84827 | + | 30.8560i | −0.100576 | + | 1.08956i | ||||
\(803\) | 13.1543 | − | 31.7574i | 0.464206 | − | 1.12069i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 19.6352 | − | 8.13318i | 0.692051 | − | 0.286657i | ||||
\(806\) | −21.5890 | − | 11.3701i | −0.760441 | − | 0.400493i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 10.8368 | − | 1.26884i | 0.381237 | − | 0.0446378i | ||||
\(809\) | 1.21564 | + | 1.21564i | 0.0427396 | + | 0.0427396i | 0.728154 | − | 0.685414i | \(-0.240379\pi\) |
−0.685414 | + | 0.728154i | \(0.740379\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −6.74157 | − | 16.2756i | −0.236728 | − | 0.571513i | 0.760212 | − | 0.649675i | \(-0.225095\pi\) |
−0.996941 | + | 0.0781619i | \(0.975095\pi\) | |||||||
\(812\) | −6.03408 | − | 28.5052i | −0.211755 | − | 1.00034i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −21.4145 | − | 25.7701i | −0.750579 | − | 0.903241i | ||||
\(815\) | − | 41.1830i | − | 1.44258i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 19.5665i | 0.684544i | ||||||||
\(818\) | −19.9976 | + | 16.6177i | −0.699201 | + | 0.581026i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −4.87907 | − | 3.17430i | −0.170384 | − | 0.110852i | ||||
\(821\) | −2.00047 | − | 4.82956i | −0.0698169 | − | 0.168553i | 0.885119 | − | 0.465364i | \(-0.154077\pi\) |
−0.954936 | + | 0.296811i | \(0.904077\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −13.5268 | − | 13.5268i | −0.471516 | − | 0.471516i | 0.430889 | − | 0.902405i | \(-0.358200\pi\) |
−0.902405 | + | 0.430889i | \(0.858200\pi\) | |||||||
\(824\) | 6.78681 | − | 3.78963i | 0.236430 | − | 0.132018i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 20.9733 | − | 39.8233i | 0.729755 | − | 1.38563i | ||||
\(827\) | 22.3808 | − | 9.27041i | 0.778255 | − | 0.322364i | 0.0420440 | − | 0.999116i | \(-0.486613\pi\) |
0.736211 | + | 0.676752i | \(0.236613\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1.75314 | − | 4.23245i | 0.0608890 | − | 0.146999i | −0.890507 | − | 0.454970i | \(-0.849650\pi\) |
0.951396 | + | 0.307971i | \(0.0996500\pi\) | |||||||
\(830\) | −9.56006 | − | 0.882475i | −0.331835 | − | 0.0306312i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −28.1694 | − | 38.9770i | −0.976597 | − | 1.35128i | ||||
\(833\) | −4.50746 | −0.156174 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −6.00234 | + | 14.4909i | −0.207720 | + | 0.501479i | ||||
\(836\) | −6.18372 | + | 33.2094i | −0.213868 | + | 1.14857i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −13.7454 | + | 26.0993i | −0.474827 | + | 0.901584i | ||||
\(839\) | 23.6794 | − | 23.6794i | 0.817503 | − | 0.817503i | −0.168242 | − | 0.985746i | \(-0.553809\pi\) |
0.985746 | + | 0.168242i | \(0.0538091\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1.93775 | + | 1.93775i | 0.0668190 | + | 0.0668190i | ||||
\(842\) | 7.47822 | − | 2.31862i | 0.257716 | − | 0.0799050i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −13.4409 | − | 8.74463i | −0.462656 | − | 0.301003i | ||||
\(845\) | 58.1583 | + | 24.0900i | 2.00071 | + | 0.828720i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 2.93333i | 0.100791i | ||||||||
\(848\) | 0.743977 | + | 30.3501i | 0.0255483 | + | 1.04223i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 9.04507 | + | 10.8848i | 0.310243 | + | 0.373344i | ||||
\(851\) | 17.3385 | + | 7.18182i | 0.594354 | + | 0.246190i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 1.47996 | + | 3.57295i | 0.0506730 | + | 0.122335i | 0.947189 | − | 0.320676i | \(-0.103910\pi\) |
−0.896516 | + | 0.443011i | \(0.853910\pi\) | |||||||
\(854\) | −9.26276 | − | 29.8751i | −0.316965 | − | 1.02230i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −4.60007 | − | 39.2877i | −0.157227 | − | 1.34283i | ||||
\(857\) | 1.99585 | − | 1.99585i | 0.0681769 | − | 0.0681769i | −0.672196 | − | 0.740373i | \(-0.734649\pi\) |
0.740373 | + | 0.672196i | \(0.234649\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 28.4574 | − | 11.7874i | 0.970953 | − | 0.402182i | 0.159886 | − | 0.987135i | \(-0.448887\pi\) |
0.811067 | + | 0.584954i | \(0.198887\pi\) | |||||||
\(860\) | 12.3703 | + | 18.0311i | 0.421822 | + | 0.614855i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −0.676158 | + | 7.32498i | −0.0230300 | + | 0.249490i | ||||
\(863\) | 56.7230 | 1.93087 | 0.965436 | − | 0.260639i | \(-0.0839333\pi\) | ||||
0.965436 | + | 0.260639i | \(0.0839333\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −12.6555 | −0.430299 | ||||||||
\(866\) | −0.838365 | + | 9.08220i | −0.0284888 | + | 0.308626i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −13.4570 | + | 9.23216i | −0.456759 | + | 0.313360i | ||||
\(869\) | 35.3329 | − | 14.6354i | 1.19859 | − | 0.496471i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 43.1866 | − | 43.1866i | 1.46332 | − | 1.46332i | ||||
\(872\) | −29.1644 | − | 23.0507i | −0.987630 | − | 0.780595i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −5.60312 | − | 18.0717i | −0.189529 | − | 0.611283i | ||||
\(875\) | 7.68746 | + | 18.5592i | 0.259883 | + | 0.627414i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 35.4309 | + | 14.6760i | 1.19642 | + | 0.495572i | 0.889839 | − | 0.456274i | \(-0.150816\pi\) |
0.306577 | + | 0.951846i | \(0.400816\pi\) | |||||||
\(878\) | 26.2627 | + | 31.6043i | 0.886324 | + | 1.06659i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 15.2971 | + | 34.5130i | 0.515664 | + | 1.16343i | ||||
\(881\) | − | 16.0453i | − | 0.540579i | −0.962779 | − | 0.270290i | \(-0.912881\pi\) | ||
0.962779 | − | 0.270290i | \(-0.0871194\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −3.76841 | − | 1.56093i | −0.126817 | − | 0.0525294i | 0.318373 | − | 0.947966i | \(-0.396864\pi\) |
−0.445190 | + | 0.895436i | \(0.646864\pi\) | |||||||
\(884\) | −27.3041 | + | 41.9678i | −0.918338 | + | 1.41153i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −23.6106 | + | 7.32046i | −0.793212 | + | 0.245936i | ||||
\(887\) | −41.9135 | − | 41.9135i | −1.40732 | − | 1.40732i | −0.773396 | − | 0.633923i | \(-0.781444\pi\) |
−0.633923 | − | 0.773396i | \(-0.718556\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −11.0071 | + | 11.0071i | −0.369165 | + | 0.369165i | ||||
\(890\) | 19.4187 | − | 36.8715i | 0.650918 | − | 1.23594i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0.370374 | + | 0.0689650i | 0.0124010 | + | 0.00230912i | ||||
\(893\) | 2.01657 | − | 4.86843i | 0.0674819 | − | 0.162916i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.805124 | 0.0269123 | ||||||||
\(896\) | −31.8448 | + | 4.52220i | −1.06386 | + | 0.151076i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −1.11857 | − | 0.103253i | −0.0373270 | − | 0.00344560i | ||||
\(899\) | −5.62845 | + | 13.5883i | −0.187719 | + | 0.453195i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 29.2016 | − | 12.0957i | 0.972846 | − | 0.402966i | ||||
\(902\) | −2.44511 | + | 4.64268i | −0.0814133 | + | 0.154584i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −10.6724 | + | 37.6607i | −0.354959 | + | 1.25258i | ||||
\(905\) | 20.1268 | + | 20.1268i | 0.669037 | + | 0.669037i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −8.10967 | − | 19.5785i | −0.269277 | − | 0.650093i | 0.730173 | − | 0.683263i | \(-0.239440\pi\) |
−0.999450 | + | 0.0331702i | \(0.989440\pi\) | |||||||
\(908\) | 0.304278 | − | 0.467691i | 0.0100978 | − | 0.0155209i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 50.5764 | − | 42.0282i | 1.67659 | − | 1.39322i | ||||
\(911\) | − | 32.2546i | − | 1.06864i | −0.845282 | − | 0.534321i | \(-0.820567\pi\) | ||
0.845282 | − | 0.534321i | \(-0.179433\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 8.65464i | 0.286427i | ||||||||
\(914\) | −27.2004 | − | 32.7327i | −0.899709 | − | 1.08270i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.31374 | − | 0.913146i | 0.142530 | − | 0.0301712i | ||||
\(917\) | 22.8361 | + | 55.1312i | 0.754114 | + | 1.82059i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −31.0572 | − | 31.0572i | −1.02448 | − | 1.02448i | −0.999693 | − | 0.0247905i | \(-0.992108\pi\) |
−0.0247905 | − | 0.999693i | \(-0.507892\pi\) | |||||||
\(920\) | −16.5887 | − | 13.1112i | −0.546912 | − | 0.432264i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −0.733754 | − | 0.386438i | −0.0241649 | − | 0.0127267i | ||||
\(923\) | −14.8384 | + | 6.14628i | −0.488413 | + | 0.202307i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 6.28122 | − | 15.1642i | 0.206525 | − | 0.498596i | ||||
\(926\) | 1.69464 | − | 18.3584i | 0.0556892 | − | 0.603294i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −21.8343 | + | 19.0676i | −0.716745 | + | 0.625924i | ||||
\(929\) | 32.4744 | 1.06545 | 0.532725 | − | 0.846288i | \(-0.321168\pi\) | ||||
0.532725 | + | 0.846288i | \(0.321168\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 2.01687 | − | 4.86916i | 0.0661004 | − | 0.159580i | ||||
\(932\) | 6.92319 | + | 10.0914i | 0.226777 | + | 0.330554i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 49.0006 | + | 25.8066i | 1.60335 | + | 0.844418i | ||||
\(935\) | 27.7917 | − | 27.7917i | 0.908884 | − | 0.908884i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −29.6117 | − | 29.6117i | −0.967373 | − | 0.967373i | 0.0321113 | − | 0.999484i | \(-0.489777\pi\) |
−0.999484 | + | 0.0321113i | \(0.989777\pi\) | |||||||
\(938\) | −12.0970 | − | 39.0163i | −0.394981 | − | 1.27393i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −1.21957 | − | 5.76132i | −0.0397781 | − | 0.187913i | ||||
\(941\) | −7.86542 | − | 3.25796i | −0.256405 | − | 0.106207i | 0.250778 | − | 0.968045i | \(-0.419313\pi\) |
−0.507184 | + | 0.861838i | \(0.669313\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − | 2.93896i | − | 0.0957058i | ||||||
\(944\) | −44.7653 | + | 1.09734i | −1.45699 | + | 0.0357153i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 15.1605 | − | 12.5981i | 0.492910 | − | 0.409600i | ||||
\(947\) | −48.5504 | − | 20.1102i | −1.57767 | − | 0.653494i | −0.589631 | − | 0.807672i | \(-0.700727\pi\) |
−0.988043 | + | 0.154178i | \(0.950727\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 22.7968 | + | 55.0364i | 0.740017 | + | 1.78656i | ||||
\(950\) | −15.8055 | + | 4.90049i | −0.512797 | + | 0.158993i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 16.3257 | + | 29.2376i | 0.529120 | + | 0.947597i | ||||
\(953\) | 17.0094 | − | 17.0094i | 0.550988 | − | 0.550988i | −0.375738 | − | 0.926726i | \(-0.622611\pi\) |
0.926726 | + | 0.375738i | \(0.122611\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −38.1146 | + | 15.7876i | −1.23336 | + | 0.510874i | ||||
\(956\) | 3.02742 | − | 16.2586i | 0.0979137 | − | 0.525842i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 39.0045 | + | 3.60045i | 1.26018 | + | 0.116325i | ||||
\(959\) | 15.0354 | 0.485518 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −22.7622 | −0.734265 | ||||||||
\(962\) | 57.8218 | + | 5.33745i | 1.86425 | + | 0.172086i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −8.32147 | + | 44.6902i | −0.268017 | + | 1.43937i | ||||
\(965\) | −46.1394 | + | 19.1116i | −1.48528 | + | 0.615223i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 28.7386 | − | 28.7386i | 0.924170 | − | 0.924170i | −0.0731512 | − | 0.997321i | \(-0.523306\pi\) |
0.997321 | + | 0.0731512i | \(0.0233056\pi\) | |||||||
\(968\) | 2.54804 | − | 1.42277i | 0.0818970 | − | 0.0457297i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 41.5412 | − | 12.8798i | 1.33381 | − | 0.413547i | ||||
\(971\) | 12.3179 | + | 29.7379i | 0.395299 | + | 0.954336i | 0.988765 | + | 0.149477i | \(0.0477591\pi\) |
−0.593466 | + | 0.804859i | \(0.702241\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −27.8622 | − | 11.5409i | −0.893222 | − | 0.369985i | ||||
\(974\) | −35.1726 | + | 29.2279i | −1.12700 | + | 0.936522i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −21.4581 | + | 22.5366i | −0.686858 | + | 0.721378i | ||||
\(977\) | 13.3790i | 0.428032i | 0.976830 | + | 0.214016i | \(0.0686545\pi\) | ||||
−0.976830 | + | 0.214016i | \(0.931345\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −34.7065 | − | 14.3759i | −1.10922 | − | 0.459456i | ||||
\(980\) | −1.21976 | − | 5.76219i | −0.0389637 | − | 0.184066i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −11.1202 | − | 35.8657i | −0.354859 | − | 1.14452i | ||||
\(983\) | 13.7710 | + | 13.7710i | 0.439227 | + | 0.439227i | 0.891752 | − | 0.452525i | \(-0.149477\pi\) |
−0.452525 | + | 0.891752i | \(0.649477\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 13.8552 | − | 13.8552i | 0.441464 | − | 0.441464i | ||||
\(986\) | 26.7030 | + | 14.0634i | 0.850398 | + | 0.447870i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −33.1183 | − | 48.2738i | −1.05363 | − | 1.53579i | ||||
\(989\) | −4.22505 | + | 10.2002i | −0.134349 | + | 0.324347i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 8.30842 | 0.263926 | 0.131963 | − | 0.991255i | \(-0.457872\pi\) | ||||
0.131963 | + | 0.991255i | \(0.457872\pi\) | |||||||
\(992\) | 14.5466 | + | 7.21143i | 0.461856 | + | 0.228963i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.987382 | + | 10.6965i | −0.0313179 | + | 0.339274i | ||||
\(995\) | −1.25025 | + | 3.01836i | −0.0396355 | + | 0.0956885i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −25.3066 | + | 10.4823i | −0.801468 | + | 0.331979i | −0.745544 | − | 0.666456i | \(-0.767810\pi\) |
−0.0559236 | + | 0.998435i | \(0.517810\pi\) | |||||||
\(998\) | 15.7291 | + | 8.28386i | 0.497895 | + | 0.262221i | ||||
\(999\) | 0 | 0 |
(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 | 288.2.v.d.109.1 | 32 | ||
3.2 | odd | 2 | 96.2.n.a.13.8 | ✓ | 32 | ||
4.3 | odd | 2 | 1152.2.v.c.145.7 | 32 | |||
12.11 | even | 2 | 384.2.n.a.145.6 | 32 | |||
24.5 | odd | 2 | 768.2.n.a.289.7 | 32 | |||
24.11 | even | 2 | 768.2.n.b.289.3 | 32 | |||
32.5 | even | 8 | inner | 288.2.v.d.37.1 | 32 | ||
32.27 | odd | 8 | 1152.2.v.c.1009.7 | 32 | |||
96.5 | odd | 8 | 96.2.n.a.37.8 | yes | 32 | ||
96.11 | even | 8 | 768.2.n.b.481.3 | 32 | |||
96.53 | odd | 8 | 768.2.n.a.481.7 | 32 | |||
96.59 | even | 8 | 384.2.n.a.241.6 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.2.n.a.13.8 | ✓ | 32 | 3.2 | odd | 2 | ||
96.2.n.a.37.8 | yes | 32 | 96.5 | odd | 8 | ||
288.2.v.d.37.1 | 32 | 32.5 | even | 8 | inner | ||
288.2.v.d.109.1 | 32 | 1.1 | even | 1 | trivial | ||
384.2.n.a.145.6 | 32 | 12.11 | even | 2 | |||
384.2.n.a.241.6 | 32 | 96.59 | even | 8 | |||
768.2.n.a.289.7 | 32 | 24.5 | odd | 2 | |||
768.2.n.a.481.7 | 32 | 96.53 | odd | 8 | |||
768.2.n.b.289.3 | 32 | 24.11 | even | 2 | |||
768.2.n.b.481.3 | 32 | 96.11 | even | 8 | |||
1152.2.v.c.145.7 | 32 | 4.3 | odd | 2 | |||
1152.2.v.c.1009.7 | 32 | 32.27 | odd | 8 |