Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(73,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.73");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bz (of order \(12\), 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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 82.8 | ||
Character | \(\chi\) | \(=\) | 315.82 |
Dual form | 315.2.bz.d.73.8 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.42777 | − | 0.650518i | 1.71669 | − | 0.459986i | 0.739642 | − | 0.673001i | \(-0.234995\pi\) |
0.977049 | + | 0.213015i | \(0.0683284\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 3.73883 | − | 2.15861i | 1.86941 | − | 1.07931i | ||||
\(5\) | −0.780598 | + | 2.09539i | −0.349094 | + | 0.937088i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.61838 | + | 2.09305i | 0.611691 | + | 0.791097i | ||||
\(8\) | 4.11829 | − | 4.11829i | 1.45603 | − | 1.45603i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.532020 | + | 5.59492i | −0.168240 | + | 1.76927i | ||||
\(11\) | −2.73807 | − | 4.74248i | −0.825561 | − | 1.42991i | −0.901490 | − | 0.432800i | \(-0.857526\pi\) |
0.0759295 | − | 0.997113i | \(-0.475808\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.579674 | − | 0.579674i | −0.160773 | − | 0.160773i | 0.622136 | − | 0.782909i | \(-0.286265\pi\) |
−0.782909 | + | 0.622136i | \(0.786265\pi\) | |||||||
\(14\) | 5.29062 | + | 4.02864i | 1.41398 | + | 1.07670i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.00199 | − | 5.19961i | 0.750498 | − | 1.29990i | ||||
\(17\) | −4.58934 | − | 1.22971i | −1.11308 | − | 0.298248i | −0.344999 | − | 0.938603i | \(-0.612121\pi\) |
−0.768079 | + | 0.640355i | \(0.778787\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.220281 | − | 0.381538i | 0.0505359 | − | 0.0875308i | −0.839651 | − | 0.543127i | \(-0.817240\pi\) |
0.890187 | + | 0.455596i | \(0.150574\pi\) | |||||||
\(20\) | 1.60462 | + | 9.51932i | 0.358803 | + | 2.12858i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −9.73248 | − | 9.73248i | −2.07497 | − | 2.07497i | ||||
\(23\) | 0.457316 | + | 1.70673i | 0.0953570 | + | 0.355877i | 0.997073 | − | 0.0764510i | \(-0.0243589\pi\) |
−0.901716 | + | 0.432328i | \(0.857692\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.78133 | − | 3.27132i | −0.756267 | − | 0.654264i | ||||
\(26\) | −1.78440 | − | 1.03022i | −0.349950 | − | 0.202044i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 10.5689 | + | 4.33208i | 1.99734 | + | 0.818686i | ||||
\(29\) | − | 0.853158i | − | 0.158427i | −0.996858 | − | 0.0792137i | \(-0.974759\pi\) | ||
0.996858 | − | 0.0792137i | \(-0.0252410\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.32463 | − | 1.34213i | 0.417516 | − | 0.241053i | −0.276498 | − | 0.961014i | \(-0.589174\pi\) |
0.694014 | + | 0.719962i | \(0.255841\pi\) | |||||||
\(32\) | 0.890908 | − | 3.32491i | 0.157492 | − | 0.587767i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −11.9418 | −2.04800 | ||||||||
\(35\) | −5.64906 | + | 1.75732i | −0.954865 | + | 0.297041i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.249579 | + | 0.0668745i | −0.0410306 | + | 0.0109941i | −0.279276 | − | 0.960211i | \(-0.590094\pi\) |
0.238245 | + | 0.971205i | \(0.423428\pi\) | |||||||
\(38\) | 0.286594 | − | 1.06958i | 0.0464916 | − | 0.173509i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 5.41470 | + | 11.8442i | 0.856139 | + | 1.87272i | ||||
\(41\) | − | 0.321873i | − | 0.0502681i | −0.999684 | − | 0.0251341i | \(-0.991999\pi\) | ||
0.999684 | − | 0.0251341i | \(-0.00800127\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.631635 | + | 0.631635i | −0.0963234 | + | 0.0963234i | −0.753626 | − | 0.657303i | \(-0.771697\pi\) |
0.657303 | + | 0.753626i | \(0.271697\pi\) | |||||||
\(44\) | −20.4744 | − | 11.8209i | −3.08663 | − | 1.78207i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.22051 | + | 3.84604i | 0.327397 | + | 0.567068i | ||||
\(47\) | 2.12084 | + | 7.91508i | 0.309356 | + | 1.15453i | 0.929130 | + | 0.369752i | \(0.120557\pi\) |
−0.619774 | + | 0.784780i | \(0.712776\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.76168 | + | 6.77469i | −0.251669 | + | 0.967813i | ||||
\(50\) | −11.3082 | − | 5.48217i | −1.59923 | − | 0.775296i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.41859 | − | 0.916009i | −0.474073 | − | 0.127028i | ||||
\(53\) | 11.0558 | + | 2.96239i | 1.51863 | + | 0.406916i | 0.919291 | − | 0.393579i | \(-0.128763\pi\) |
0.599340 | + | 0.800494i | \(0.295430\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 12.0747 | − | 2.03536i | 1.62815 | − | 0.274448i | ||||
\(56\) | 15.2847 | + | 1.95480i | 2.04251 | + | 0.261222i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.554995 | − | 2.07127i | −0.0728744 | − | 0.271971i | ||||
\(59\) | 2.89024 | + | 5.00605i | 0.376278 | + | 0.651732i | 0.990517 | − | 0.137387i | \(-0.0438705\pi\) |
−0.614240 | + | 0.789119i | \(0.710537\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.73145 | − | 3.30905i | −0.733837 | − | 0.423681i | 0.0859874 | − | 0.996296i | \(-0.472596\pi\) |
−0.819824 | + | 0.572615i | \(0.805929\pi\) | |||||||
\(62\) | 4.77058 | − | 4.77058i | 0.605864 | − | 0.605864i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 3.35631i | 0.419539i | ||||||||
\(65\) | 1.66714 | − | 0.762151i | 0.206783 | − | 0.0945332i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.38480 | + | 5.16814i | −0.169180 | + | 0.631389i | 0.828290 | + | 0.560300i | \(0.189314\pi\) |
−0.997470 | + | 0.0710893i | \(0.977352\pi\) | |||||||
\(68\) | −19.8132 | + | 5.30893i | −2.40270 | + | 0.643803i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −12.5714 | + | 7.94117i | −1.50257 | + | 0.949151i | ||||
\(71\) | 8.79651 | 1.04395 | 0.521977 | − | 0.852960i | \(-0.325195\pi\) | ||||
0.521977 | + | 0.852960i | \(0.325195\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.28786 | − | 8.53843i | 0.267774 | − | 0.999347i | −0.692756 | − | 0.721172i | \(-0.743604\pi\) |
0.960530 | − | 0.278175i | \(-0.0897296\pi\) | |||||||
\(74\) | −0.562417 | + | 0.324712i | −0.0653796 | + | 0.0377470i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | − | 1.90201i | − | 0.218175i | ||||||
\(77\) | 5.49499 | − | 13.4061i | 0.626212 | − | 1.52776i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −9.02098 | − | 5.20826i | −1.01494 | − | 0.585975i | −0.102305 | − | 0.994753i | \(-0.532622\pi\) |
−0.912634 | + | 0.408778i | \(0.865955\pi\) | |||||||
\(80\) | 8.55186 | + | 10.3492i | 0.956127 | + | 1.15707i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.209384 | − | 0.781433i | −0.0231226 | − | 0.0862948i | ||||
\(83\) | −8.47550 | − | 8.47550i | −0.930306 | − | 0.930306i | 0.0674183 | − | 0.997725i | \(-0.478524\pi\) |
−0.997725 | + | 0.0674183i | \(0.978524\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.15915 | − | 8.65655i | 0.668054 | − | 0.938935i | ||||
\(86\) | −1.12257 | + | 1.94435i | −0.121050 | + | 0.209665i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −30.8071 | − | 8.25473i | −3.28405 | − | 0.879958i | ||||
\(89\) | −4.03993 | + | 6.99736i | −0.428231 | + | 0.741718i | −0.996716 | − | 0.0809755i | \(-0.974196\pi\) |
0.568485 | + | 0.822694i | \(0.307530\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.275150 | − | 2.15142i | 0.0288436 | − | 0.225530i | ||||
\(92\) | 5.39399 | + | 5.39399i | 0.562362 | + | 0.562362i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 10.2978 | + | 17.8363i | 1.06214 | + | 1.83968i | ||||
\(95\) | 0.627520 | + | 0.759403i | 0.0643822 | + | 0.0779131i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.99549 | − | 5.99549i | 0.608750 | − | 0.608750i | −0.333870 | − | 0.942619i | \(-0.608355\pi\) |
0.942619 | + | 0.333870i | \(0.108355\pi\) | |||||||
\(98\) | 0.130108 | + | 17.5934i | 0.0131429 | + | 1.77720i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −21.1993 | − | 4.06846i | −2.11993 | − | 0.406846i | ||||
\(101\) | −3.14474 | + | 1.81562i | −0.312914 | + | 0.180661i | −0.648230 | − | 0.761445i | \(-0.724490\pi\) |
0.335316 | + | 0.942106i | \(0.391157\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.93466 | − | 1.85814i | 0.683293 | − | 0.183088i | 0.0995575 | − | 0.995032i | \(-0.468257\pi\) |
0.583735 | + | 0.811944i | \(0.301591\pi\) | |||||||
\(104\) | −4.77452 | −0.468181 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 28.7680 | 2.79420 | ||||||||
\(107\) | 0.0729848 | − | 0.0195562i | 0.00705571 | − | 0.00189057i | −0.255289 | − | 0.966865i | \(-0.582171\pi\) |
0.262345 | + | 0.964974i | \(0.415504\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.11046 | − | 1.79583i | 0.297928 | − | 0.172009i | −0.343584 | − | 0.939122i | \(-0.611641\pi\) |
0.641512 | + | 0.767113i | \(0.278308\pi\) | |||||||
\(110\) | 27.9905 | − | 12.7962i | 2.66879 | − | 1.22007i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 15.7414 | − | 2.13164i | 1.48742 | − | 0.201421i | ||||
\(113\) | 12.9081 | − | 12.9081i | 1.21429 | − | 1.21429i | 0.244694 | − | 0.969600i | \(-0.421313\pi\) |
0.969600 | − | 0.244694i | \(-0.0786874\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.93324 | − | 0.374012i | −0.366777 | − | 0.0348768i | ||||
\(116\) | −1.84164 | − | 3.18981i | −0.170992 | − | 0.296166i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 10.2734 | + | 10.2734i | 0.945740 | + | 0.945740i | ||||
\(119\) | −4.85346 | − | 11.5958i | −0.444916 | − | 1.06299i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.49411 | + | 16.4443i | −0.863101 | + | 1.49493i | ||||
\(122\) | −16.0672 | − | 4.30520i | −1.45466 | − | 0.389774i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 5.79426 | − | 10.0360i | 0.520340 | − | 0.901255i | ||||
\(125\) | 9.80639 | − | 5.36979i | 0.877111 | − | 0.480288i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 13.5294 | + | 13.5294i | 1.20054 | + | 1.20054i | 0.974002 | + | 0.226539i | \(0.0727409\pi\) |
0.226539 | + | 0.974002i | \(0.427259\pi\) | |||||||
\(128\) | 3.96516 | + | 14.7982i | 0.350474 | + | 1.30799i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 3.55162 | − | 2.93483i | 0.311498 | − | 0.257401i | ||||
\(131\) | −3.87030 | − | 2.23452i | −0.338149 | − | 0.195231i | 0.321304 | − | 0.946976i | \(-0.395879\pi\) |
−0.659453 | + | 0.751745i | \(0.729212\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.15507 | − | 0.156416i | 0.100158 | − | 0.0135630i | ||||
\(134\) | 13.4479i | 1.16172i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −23.9645 | + | 13.8359i | −2.05494 | + | 1.18642i | ||||
\(137\) | −2.35642 | + | 8.79428i | −0.201323 | + | 0.751346i | 0.789217 | + | 0.614115i | \(0.210487\pi\) |
−0.990539 | + | 0.137231i | \(0.956180\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −11.6277 | −0.986251 | −0.493126 | − | 0.869958i | \(-0.664146\pi\) | ||||
−0.493126 | + | 0.869958i | \(0.664146\pi\) | |||||||
\(140\) | −17.3275 | + | 18.7644i | −1.46444 | + | 1.58588i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 21.3559 | − | 5.72229i | 1.79215 | − | 0.480204i | ||||
\(143\) | −1.16190 | + | 4.33628i | −0.0971632 | + | 0.362618i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.78770 | + | 0.665974i | 0.148460 | + | 0.0553061i | ||||
\(146\) | − | 22.2176i | − | 1.83874i | ||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.788777 | + | 0.788777i | −0.0648371 | + | 0.0648371i | ||||
\(149\) | −9.66241 | − | 5.57860i | −0.791576 | − | 0.457016i | 0.0489412 | − | 0.998802i | \(-0.484415\pi\) |
−0.840517 | + | 0.541785i | \(0.817749\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.805981 | − | 1.39600i | −0.0655898 | − | 0.113605i | 0.831366 | − | 0.555726i | \(-0.187560\pi\) |
−0.896955 | + | 0.442121i | \(0.854226\pi\) | |||||||
\(152\) | −0.664102 | − | 2.47846i | −0.0538658 | − | 0.201030i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 4.61966 | − | 36.1214i | 0.372263 | − | 2.91074i | ||||
\(155\) | 0.997677 | + | 5.91867i | 0.0801353 | + | 0.475399i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −17.2198 | − | 4.61403i | −1.37429 | − | 0.368240i | −0.505247 | − | 0.862975i | \(-0.668598\pi\) |
−0.869044 | + | 0.494735i | \(0.835265\pi\) | |||||||
\(158\) | −25.2889 | − | 6.77614i | −2.01188 | − | 0.539081i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 6.27155 | + | 4.46222i | 0.495810 | + | 0.352770i | ||||
\(161\) | −2.83215 | + | 3.71932i | −0.223204 | + | 0.293123i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.15462 | + | 8.04115i | 0.168763 | + | 0.629832i | 0.997530 | + | 0.0702383i | \(0.0223760\pi\) |
−0.828767 | + | 0.559593i | \(0.810957\pi\) | |||||||
\(164\) | −0.694800 | − | 1.20343i | −0.0542547 | − | 0.0939719i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −26.0900 | − | 15.0631i | −2.02498 | − | 1.16912i | ||||
\(167\) | −5.39262 | + | 5.39262i | −0.417293 | + | 0.417293i | −0.884270 | − | 0.466976i | \(-0.845343\pi\) |
0.466976 | + | 0.884270i | \(0.345343\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 12.3280i | − | 0.948304i | ||||||
\(170\) | 9.32174 | − | 25.0227i | 0.714945 | − | 1.91916i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.998119 | + | 3.72503i | −0.0761058 | + | 0.284031i | ||||
\(173\) | 17.0601 | − | 4.57123i | 1.29705 | − | 0.347544i | 0.456717 | − | 0.889612i | \(-0.349025\pi\) |
0.840335 | + | 0.542068i | \(0.182358\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.727380 | − | 13.2087i | 0.0549847 | − | 0.998487i | ||||
\(176\) | −32.8787 | −2.47833 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −5.25609 | + | 19.6160i | −0.393961 | + | 1.47028i | ||||
\(179\) | 13.3814 | − | 7.72574i | 1.00017 | − | 0.577449i | 0.0918716 | − | 0.995771i | \(-0.470715\pi\) |
0.908299 | + | 0.418322i | \(0.137382\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 26.5272i | − | 1.97175i | −0.167472 | − | 0.985877i | \(-0.553560\pi\) | ||
0.167472 | − | 0.985877i | \(-0.446440\pi\) | |||||||
\(182\) | −0.731535 | − | 5.40213i | −0.0542249 | − | 0.400432i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 8.91215 | + | 5.14543i | 0.657012 | + | 0.379326i | ||||
\(185\) | 0.0546927 | − | 0.575168i | 0.00402109 | − | 0.0422872i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 6.73407 | + | 25.1319i | 0.492444 | + | 1.83783i | ||||
\(188\) | 25.0150 | + | 25.0150i | 1.82441 | + | 1.82441i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.01748 | + | 1.43544i | 0.146363 | + | 0.104138i | ||||
\(191\) | −13.2282 | + | 22.9120i | −0.957162 | + | 1.65785i | −0.227822 | + | 0.973703i | \(0.573160\pi\) |
−0.729341 | + | 0.684151i | \(0.760173\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 16.2103 | + | 4.34354i | 1.16684 | + | 0.312655i | 0.789696 | − | 0.613499i | \(-0.210238\pi\) |
0.377147 | + | 0.926153i | \(0.376905\pi\) | |||||||
\(194\) | 10.6555 | − | 18.4558i | 0.765018 | − | 1.32505i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 8.03732 | + | 29.1322i | 0.574094 | + | 2.08087i | ||||
\(197\) | −0.418962 | − | 0.418962i | −0.0298498 | − | 0.0298498i | 0.692024 | − | 0.721874i | \(-0.256719\pi\) |
−0.721874 | + | 0.692024i | \(0.756719\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 12.2189 | + | 21.1637i | 0.866172 | + | 1.50025i | 0.865878 | + | 0.500255i | \(0.166760\pi\) |
0.000294114 | 1.00000i | \(0.499906\pi\) | ||||||||
\(200\) | −29.0448 | + | 2.10039i | −2.05378 | + | 0.148520i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.45361 | + | 6.45361i | −0.454074 | + | 0.454074i | ||||
\(203\) | 1.78570 | − | 1.38074i | 0.125332 | − | 0.0969086i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.674450 | + | 0.251254i | 0.0471057 | + | 0.0175483i | ||||
\(206\) | 15.6270 | − | 9.02225i | 1.08878 | − | 0.628610i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −4.75425 | + | 1.27390i | −0.329648 | + | 0.0883289i | ||||
\(209\) | −2.41258 | −0.166882 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −24.7766 | −1.70569 | −0.852846 | − | 0.522162i | \(-0.825126\pi\) | ||||
−0.852846 | + | 0.522162i | \(0.825126\pi\) | |||||||
\(212\) | 47.7304 | − | 12.7893i | 3.27814 | − | 0.878374i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.164469 | − | 0.0949559i | 0.0112428 | − | 0.00649105i | ||||
\(215\) | −0.830470 | − | 1.81658i | −0.0566376 | − | 0.123889i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.57127 | + | 2.69349i | 0.446087 | + | 0.182846i | ||||
\(218\) | 6.38326 | − | 6.38326i | 0.432329 | − | 0.432329i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 40.7517 | − | 33.6745i | 2.74748 | − | 2.27033i | ||||
\(221\) | 1.94749 | + | 3.37315i | 0.131002 | + | 0.226902i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 8.57407 | + | 8.57407i | 0.574163 | + | 0.574163i | 0.933289 | − | 0.359126i | \(-0.116925\pi\) |
−0.359126 | + | 0.933289i | \(0.616925\pi\) | |||||||
\(224\) | 8.40102 | − | 3.51627i | 0.561317 | − | 0.234940i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 22.9409 | − | 39.7349i | 1.52601 | − | 2.64313i | ||||
\(227\) | 20.7203 | + | 5.55199i | 1.37525 | + | 0.368498i | 0.869395 | − | 0.494117i | \(-0.164509\pi\) |
0.505860 | + | 0.862616i | \(0.331175\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 2.85867 | − | 4.95136i | 0.188906 | − | 0.327195i | −0.755980 | − | 0.654595i | \(-0.772839\pi\) |
0.944886 | + | 0.327400i | \(0.106173\pi\) | |||||||
\(230\) | −9.79230 | + | 1.65063i | −0.645685 | + | 0.108839i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.51355 | − | 3.51355i | −0.230676 | − | 0.230676i | ||||
\(233\) | 0.116310 | + | 0.434077i | 0.00761975 | + | 0.0284373i | 0.969631 | − | 0.244572i | \(-0.0786476\pi\) |
−0.962011 | + | 0.273010i | \(0.911981\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −18.2407 | − | 1.73451i | −1.18989 | − | 0.113147i | ||||
\(236\) | 21.6122 | + | 12.4778i | 1.40684 | + | 0.812238i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −19.3264 | − | 24.9947i | −1.25274 | − | 1.62017i | ||||
\(239\) | 12.3067i | 0.796054i | 0.917374 | + | 0.398027i | \(0.130305\pi\) | ||||
−0.917374 | + | 0.398027i | \(0.869695\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.77345 | + | 1.60125i | −0.178654 | + | 0.103146i | −0.586660 | − | 0.809833i | \(-0.699557\pi\) |
0.408006 | + | 0.912979i | \(0.366224\pi\) | |||||||
\(242\) | −12.3522 | + | 46.0990i | −0.794028 | + | 2.96335i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −28.5719 | −1.82913 | ||||||||
\(245\) | −12.8205 | − | 8.97973i | −0.819070 | − | 0.573694i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.348858 | + | 0.0934763i | −0.0221973 | + | 0.00594776i | ||||
\(248\) | 4.04623 | − | 15.1007i | 0.256936 | − | 0.958898i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 20.3145 | − | 19.4158i | 1.28480 | − | 1.22797i | ||||
\(251\) | − | 16.6060i | − | 1.04816i | −0.851669 | − | 0.524081i | \(-0.824409\pi\) | ||
0.851669 | − | 0.524081i | \(-0.175591\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.84196 | − | 6.84196i | 0.430150 | − | 0.430150i | ||||
\(254\) | 41.6474 | + | 24.0451i | 2.61319 | + | 1.50873i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 15.8966 | + | 27.5338i | 0.993540 | + | 1.72086i | ||||
\(257\) | −0.847796 | − | 3.16402i | −0.0528841 | − | 0.197366i | 0.934430 | − | 0.356148i | \(-0.115910\pi\) |
−0.987314 | + | 0.158782i | \(0.949243\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.543886 | − | 0.414152i | −0.0337954 | − | 0.0257342i | ||||
\(260\) | 4.58794 | − | 6.44825i | 0.284532 | − | 0.399904i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −10.8498 | − | 2.90719i | −0.670301 | − | 0.179607i | ||||
\(263\) | −15.0506 | − | 4.03280i | −0.928061 | − | 0.248673i | −0.237033 | − | 0.971502i | \(-0.576175\pi\) |
−0.691027 | + | 0.722828i | \(0.742842\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −14.8375 | + | 20.8538i | −0.911461 | + | 1.28104i | ||||
\(266\) | 2.70250 | − | 1.13114i | 0.165701 | − | 0.0693545i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.97850 | + | 22.3120i | 0.365195 | + | 1.36293i | ||||
\(269\) | −4.28256 | − | 7.41761i | −0.261112 | − | 0.452260i | 0.705426 | − | 0.708784i | \(-0.250756\pi\) |
−0.966538 | + | 0.256524i | \(0.917423\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.65260 | + | 2.68618i | 0.282625 | + | 0.163174i | 0.634611 | − | 0.772832i | \(-0.281160\pi\) |
−0.351986 | + | 0.936005i | \(0.614494\pi\) | |||||||
\(272\) | −20.1712 | + | 20.1712i | −1.22306 | + | 1.22306i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 22.8834i | 1.38243i | ||||||||
\(275\) | −5.16060 | + | 26.8900i | −0.311196 | + | 1.62153i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.28630 | − | 12.2646i | 0.197454 | − | 0.736910i | −0.794163 | − | 0.607704i | \(-0.792091\pi\) |
0.991618 | − | 0.129206i | \(-0.0412427\pi\) | |||||||
\(278\) | −28.2294 | + | 7.56405i | −1.69309 | + | 0.453662i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −16.0273 | + | 30.5016i | −0.957815 | + | 1.82282i | ||||
\(281\) | −17.7795 | −1.06064 | −0.530318 | − | 0.847799i | \(-0.677927\pi\) | ||||
−0.530318 | + | 0.847799i | \(0.677927\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.560813 | − | 2.09298i | 0.0333369 | − | 0.124415i | −0.947252 | − | 0.320489i | \(-0.896153\pi\) |
0.980589 | + | 0.196074i | \(0.0628194\pi\) | |||||||
\(284\) | 32.8886 | − | 18.9883i | 1.95158 | − | 1.12675i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 11.2833i | 0.667197i | ||||||||
\(287\) | 0.673695 | − | 0.520914i | 0.0397670 | − | 0.0307486i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.82740 | + | 2.78710i | 0.283964 | + | 0.163947i | ||||
\(290\) | 4.77335 | + | 0.453897i | 0.280301 | + | 0.0266538i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −9.87723 | − | 36.8623i | −0.578021 | − | 2.15720i | ||||
\(293\) | −7.48653 | − | 7.48653i | −0.437368 | − | 0.437368i | 0.453758 | − | 0.891125i | \(-0.350083\pi\) |
−0.891125 | + | 0.453758i | \(0.850083\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −12.7458 | + | 2.14848i | −0.742086 | + | 0.125089i | ||||
\(296\) | −0.752430 | + | 1.30325i | −0.0437341 | + | 0.0757497i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −27.0871 | − | 7.25796i | −1.56911 | − | 0.420442i | ||||
\(299\) | 0.724251 | − | 1.25444i | 0.0418845 | − | 0.0725461i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.34427 | − | 0.299815i | −0.135121 | − | 0.0172810i | ||||
\(302\) | −2.86486 | − | 2.86486i | −0.164854 | − | 0.164854i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.32256 | − | 2.29075i | −0.0758543 | − | 0.131383i | ||||
\(305\) | 11.4077 | − | 9.42659i | 0.653204 | − | 0.539765i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −9.79503 | + | 9.79503i | −0.559032 | + | 0.559032i | −0.929032 | − | 0.370000i | \(-0.879358\pi\) |
0.370000 | + | 0.929032i | \(0.379358\pi\) | |||||||
\(308\) | −8.39370 | − | 61.9845i | −0.478275 | − | 3.53190i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 6.27233 | + | 13.7201i | 0.356244 | + | 0.779252i | ||||
\(311\) | −13.4581 | + | 7.77005i | −0.763140 | + | 0.440599i | −0.830422 | − | 0.557135i | \(-0.811901\pi\) |
0.0672821 | + | 0.997734i | \(0.478567\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.29178 | − | 0.346130i | 0.0730155 | − | 0.0195644i | −0.222126 | − | 0.975018i | \(-0.571300\pi\) |
0.295142 | + | 0.955453i | \(0.404633\pi\) | |||||||
\(314\) | −44.8072 | −2.52862 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −44.9705 | −2.52979 | ||||||||
\(317\) | −6.72418 | + | 1.80174i | −0.377668 | + | 0.101196i | −0.442659 | − | 0.896690i | \(-0.645965\pi\) |
0.0649912 | + | 0.997886i | \(0.479298\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.04609 | + | 2.33601i | −0.226538 | + | 0.130791i | ||||
\(320\) | −7.03278 | − | 2.61993i | −0.393145 | − | 0.146458i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −4.45631 | + | 10.8720i | −0.248340 | + | 0.605873i | ||||
\(323\) | −1.48012 | + | 1.48012i | −0.0823563 | + | 0.0823563i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.295642 | + | 4.08824i | 0.0163993 | + | 0.226775i | ||||
\(326\) | 10.4618 | + | 18.1204i | 0.579427 | + | 1.00360i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.32557 | − | 1.32557i | −0.0731921 | − | 0.0731921i | ||||
\(329\) | −13.1343 | + | 17.2486i | −0.724117 | + | 0.950947i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.07120 | + | 5.31947i | −0.168808 | + | 0.292385i | −0.938001 | − | 0.346632i | \(-0.887325\pi\) |
0.769193 | + | 0.639017i | \(0.220659\pi\) | |||||||
\(332\) | −49.9837 | − | 13.3931i | −2.74321 | − | 0.735042i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −9.58402 | + | 16.6000i | −0.524414 | + | 0.908312i | ||||
\(335\) | −9.74831 | − | 6.93594i | −0.532607 | − | 0.378951i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.65542 | − | 1.65542i | −0.0901764 | − | 0.0901764i | 0.660580 | − | 0.750756i | \(-0.270311\pi\) |
−0.750756 | + | 0.660580i | \(0.770311\pi\) | |||||||
\(338\) | −8.01956 | − | 29.9294i | −0.436207 | − | 1.62795i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 4.34186 | − | 45.6606i | 0.235470 | − | 2.47629i | ||||
\(341\) | −12.7300 | − | 7.34968i | −0.689369 | − | 0.398007i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.0308 | + | 7.27676i | −0.919578 | + | 0.392908i | ||||
\(344\) | 5.20251i | 0.280500i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 38.4442 | − | 22.1957i | 2.06677 | − | 1.19325i | ||||
\(347\) | 2.27272 | − | 8.48192i | 0.122006 | − | 0.455334i | −0.877709 | − | 0.479194i | \(-0.840929\pi\) |
0.999715 | + | 0.0238604i | \(0.00759572\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 14.1406 | 0.756927 | 0.378463 | − | 0.925616i | \(-0.376453\pi\) | ||||
0.378463 | + | 0.925616i | \(0.376453\pi\) | |||||||
\(350\) | −6.82662 | − | 32.5409i | −0.364898 | − | 1.73939i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −18.2077 | + | 4.87874i | −0.970475 | + | 0.260038i | ||||
\(353\) | −6.58802 | + | 24.5868i | −0.350645 | + | 1.30862i | 0.535233 | + | 0.844705i | \(0.320224\pi\) |
−0.885877 | + | 0.463919i | \(0.846443\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −6.86654 | + | 18.4321i | −0.364438 | + | 0.978276i | ||||
\(356\) | 34.8825i | 1.84877i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 27.4611 | − | 27.4611i | 1.45136 | − | 1.45136i | ||||
\(359\) | −7.57485 | − | 4.37334i | −0.399785 | − | 0.230816i | 0.286606 | − | 0.958049i | \(-0.407473\pi\) |
−0.686391 | + | 0.727232i | \(0.740806\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.40295 | + | 16.2864i | 0.494892 | + | 0.857179i | ||||
\(362\) | −17.2564 | − | 64.4019i | −0.906979 | − | 3.38489i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −3.61534 | − | 8.63772i | −0.189495 | − | 0.452739i | ||||
\(365\) | 16.1054 | + | 11.4591i | 0.842998 | + | 0.599794i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −32.9994 | − | 8.84217i | −1.72256 | − | 0.461558i | −0.744110 | − | 0.668057i | \(-0.767126\pi\) |
−0.978447 | + | 0.206499i | \(0.933793\pi\) | |||||||
\(368\) | 10.2472 | + | 2.74572i | 0.534171 | + | 0.143131i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.241376 | − | 1.43195i | −0.0125486 | − | 0.0744437i | ||||
\(371\) | 11.6921 | + | 27.9346i | 0.607023 | + | 1.45029i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −0.481243 | − | 1.79602i | −0.0249178 | − | 0.0929945i | 0.952347 | − | 0.305016i | \(-0.0986619\pi\) |
−0.977265 | + | 0.212022i | \(0.931995\pi\) | |||||||
\(374\) | 32.6975 | + | 56.6337i | 1.69075 | + | 2.92846i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 41.3308 | + | 23.8623i | 2.13147 | + | 1.23061i | ||||
\(377\) | −0.494553 | + | 0.494553i | −0.0254708 | + | 0.0254708i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 5.91800i | − | 0.303987i | −0.988381 | − | 0.151994i | \(-0.951431\pi\) | ||
0.988381 | − | 0.151994i | \(-0.0485694\pi\) | |||||||
\(380\) | 3.98545 | + | 1.48470i | 0.204449 | + | 0.0761636i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −17.2104 | + | 64.2302i | −0.880562 | + | 3.28630i | ||||
\(383\) | −3.06298 | + | 0.820722i | −0.156511 | + | 0.0419369i | −0.336224 | − | 0.941782i | \(-0.609150\pi\) |
0.179713 | + | 0.983719i | \(0.442483\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 23.8016 | + | 21.9789i | 1.21304 | + | 1.12015i | ||||
\(386\) | 42.1804 | 2.14692 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 9.47416 | − | 35.3580i | 0.480977 | − | 1.79503i | ||||
\(389\) | −17.8583 | + | 10.3105i | −0.905454 | + | 0.522764i | −0.878966 | − | 0.476885i | \(-0.841766\pi\) |
−0.0264880 | + | 0.999649i | \(0.508432\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 8.39511i | − | 0.424559i | ||||||
\(392\) | 20.6450 | + | 35.1552i | 1.04273 | + | 1.77561i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −1.28968 | − | 0.744599i | −0.0649733 | − | 0.0375123i | ||||
\(395\) | 17.9551 | − | 14.8369i | 0.903420 | − | 0.746526i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.66854 | − | 9.95911i | −0.133930 | − | 0.499833i | 0.866070 | − | 0.499923i | \(-0.166638\pi\) |
−1.00000 | 8.92458e-5i | \(0.999972\pi\) | ||||||||
\(398\) | 43.4319 | + | 43.4319i | 2.17705 | + | 2.17705i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −28.3611 | + | 9.84096i | −1.41806 | + | 0.492048i | ||||
\(401\) | 6.58719 | − | 11.4093i | 0.328948 | − | 0.569755i | −0.653355 | − | 0.757052i | \(-0.726639\pi\) |
0.982303 | + | 0.187296i | \(0.0599724\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.12552 | − | 0.569532i | −0.105880 | − | 0.0283704i | ||||
\(404\) | −7.83843 | + | 13.5766i | −0.389977 | + | 0.675459i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.43707 | − | 4.51373i | 0.170579 | − | 0.224013i | ||||
\(407\) | 1.00052 | + | 1.00052i | 0.0495938 | + | 0.0495938i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −9.73831 | − | 16.8672i | −0.481528 | − | 0.834032i | 0.518247 | − | 0.855231i | \(-0.326585\pi\) |
−0.999775 | + | 0.0211993i | \(0.993252\pi\) | |||||||
\(410\) | 1.80085 | + | 0.171243i | 0.0889378 | + | 0.00845709i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 21.9165 | − | 21.9165i | 1.07975 | − | 1.07975i | ||||
\(413\) | −5.80037 | + | 14.1511i | −0.285418 | + | 0.696331i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 24.3754 | − | 11.1435i | 1.19654 | − | 0.547014i | ||||
\(416\) | −2.44380 | + | 1.41093i | −0.119817 | + | 0.0691765i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −5.85719 | + | 1.56943i | −0.286484 | + | 0.0767633i | ||||
\(419\) | 30.3333 | 1.48188 | 0.740939 | − | 0.671572i | \(-0.234381\pi\) | ||||
0.740939 | + | 0.671572i | \(0.234381\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 19.2053 | 0.936007 | 0.468004 | − | 0.883727i | \(-0.344973\pi\) | ||||
0.468004 | + | 0.883727i | \(0.344973\pi\) | |||||||
\(422\) | −60.1518 | + | 16.1176i | −2.92815 | + | 0.784594i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 57.7309 | − | 33.3310i | 2.80366 | − | 1.61870i | ||||
\(425\) | 13.3310 | + | 19.6631i | 0.646650 | + | 0.953801i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.34967 | − | 17.3515i | −0.113709 | − | 0.839698i | ||||
\(428\) | 0.230663 | − | 0.230663i | 0.0111495 | − | 0.0111495i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −3.19790 | − | 3.86999i | −0.154217 | − | 0.186627i | ||||
\(431\) | −1.66744 | − | 2.88809i | −0.0803177 | − | 0.139114i | 0.823069 | − | 0.567942i | \(-0.192260\pi\) |
−0.903386 | + | 0.428828i | \(0.858927\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −12.7765 | − | 12.7765i | −0.613998 | − | 0.613998i | 0.329987 | − | 0.943985i | \(-0.392956\pi\) |
−0.943985 | + | 0.329987i | \(0.892956\pi\) | |||||||
\(434\) | 17.7057 | + | 2.26442i | 0.849899 | + | 0.108696i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 7.75299 | − | 13.4286i | 0.371301 | − | 0.643112i | ||||
\(437\) | 0.751919 | + | 0.201476i | 0.0359692 | + | 0.00963791i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −12.1119 | + | 20.9784i | −0.578070 | + | 1.00125i | 0.417631 | + | 0.908617i | \(0.362861\pi\) |
−0.995701 | + | 0.0926297i | \(0.970473\pi\) | |||||||
\(440\) | 41.3449 | − | 58.1093i | 1.97104 | − | 2.77025i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 6.92234 | + | 6.92234i | 0.329262 | + | 0.329262i | ||||
\(443\) | −5.52124 | − | 20.6056i | −0.262322 | − | 0.979000i | −0.963869 | − | 0.266376i | \(-0.914174\pi\) |
0.701547 | − | 0.712623i | \(-0.252493\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −11.5086 | − | 13.9273i | −0.545562 | − | 0.660220i | ||||
\(446\) | 26.3934 | + | 15.2383i | 1.24977 | + | 0.721553i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −7.02491 | + | 5.43179i | −0.331896 | + | 0.256628i | ||||
\(449\) | − | 10.6514i | − | 0.502669i | −0.967900 | − | 0.251335i | \(-0.919131\pi\) | ||
0.967900 | − | 0.251335i | \(-0.0808695\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.52648 | + | 0.881313i | −0.0718791 | + | 0.0414994i | ||||
\(452\) | 20.3976 | − | 76.1249i | 0.959423 | − | 3.58061i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 53.9157 | 2.53039 | ||||||||
\(455\) | 4.29328 | + | 2.25594i | 0.201272 | + | 0.105760i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −23.3867 | + | 6.26646i | −1.09399 | + | 0.293133i | −0.760313 | − | 0.649556i | \(-0.774955\pi\) |
−0.333672 | + | 0.942689i | \(0.608288\pi\) | |||||||
\(458\) | 3.71923 | − | 13.8804i | 0.173788 | − | 0.648586i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −15.5131 | + | 7.09198i | −0.723300 | + | 0.330665i | ||||
\(461\) | − | 33.1612i | − | 1.54447i | −0.635337 | − | 0.772235i | \(-0.719139\pi\) | ||
0.635337 | − | 0.772235i | \(-0.280861\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −17.9439 | + | 17.9439i | −0.833926 | + | 0.833926i | −0.988051 | − | 0.154126i | \(-0.950744\pi\) |
0.154126 | + | 0.988051i | \(0.450744\pi\) | |||||||
\(464\) | −4.43609 | − | 2.56118i | −0.205940 | − | 0.118900i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.564750 | + | 0.978175i | 0.0261615 | + | 0.0453131i | ||||
\(467\) | 2.50765 | + | 9.35867i | 0.116040 | + | 0.433067i | 0.999363 | − | 0.0356983i | \(-0.0113655\pi\) |
−0.883323 | + | 0.468766i | \(0.844699\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −13.0583 | + | 5.46558i | −0.602976 | + | 0.252377i | ||||
\(470\) | −45.4125 | + | 7.65493i | −2.09472 | + | 0.353096i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 32.5192 | + | 8.71349i | 1.49682 | + | 0.401071i | ||||
\(473\) | 4.72498 | + | 1.26606i | 0.217255 | + | 0.0582133i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −2.08109 | + | 0.722112i | −0.0954868 | + | 0.0331328i | ||||
\(476\) | −43.1772 | − | 32.8781i | −1.97902 | − | 1.50696i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 8.00572 | + | 29.8778i | 0.366173 | + | 1.36658i | ||||
\(479\) | −15.0795 | − | 26.1185i | −0.689000 | − | 1.19338i | −0.972162 | − | 0.234311i | \(-0.924717\pi\) |
0.283162 | − | 0.959072i | \(-0.408617\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.183440 | + | 0.105909i | 0.00836414 | + | 0.00482904i | ||||
\(482\) | −5.69165 | + | 5.69165i | −0.259248 | + | 0.259248i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 81.9764i | 3.72620i | ||||||||
\(485\) | 7.88283 | + | 17.2430i | 0.357941 | + | 0.782963i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 9.68429 | − | 36.1423i | 0.438837 | − | 1.63776i | −0.292877 | − | 0.956150i | \(-0.594613\pi\) |
0.731714 | − | 0.681612i | \(-0.238721\pi\) | |||||||
\(488\) | −37.2314 | + | 9.97612i | −1.68539 | + | 0.451598i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −36.9666 | − | 13.4607i | −1.66998 | − | 0.608094i | ||||
\(491\) | 13.5014 | 0.609308 | 0.304654 | − | 0.952463i | \(-0.401459\pi\) | ||||
0.304654 | + | 0.952463i | \(0.401459\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.04914 | + | 3.91543i | −0.0472507 | + | 0.176342i | ||||
\(494\) | −0.786139 | + | 0.453878i | −0.0353701 | + | 0.0204209i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 16.1162i | − | 0.723639i | ||||||
\(497\) | 14.2361 | + | 18.4115i | 0.638577 | + | 0.825869i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −18.0515 | − | 10.4220i | −0.808095 | − | 0.466554i | 0.0381992 | − | 0.999270i | \(-0.487838\pi\) |
−0.846294 | + | 0.532717i | \(0.821171\pi\) | |||||||
\(500\) | 25.0731 | − | 41.2449i | 1.12130 | − | 1.84453i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −10.8025 | − | 40.3155i | −0.482139 | − | 1.79937i | ||||
\(503\) | 13.5884 | + | 13.5884i | 0.605878 | + | 0.605878i | 0.941866 | − | 0.335988i | \(-0.109070\pi\) |
−0.335988 | + | 0.941866i | \(0.609070\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.34965 | − | 8.00674i | −0.0600587 | − | 0.356295i | ||||
\(506\) | 12.1599 | − | 21.0615i | 0.540572 | − | 0.936298i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 79.7889 | + | 21.3794i | 3.54006 | + | 0.948556i | ||||
\(509\) | 10.8954 | − | 18.8713i | 0.482928 | − | 0.836456i | −0.516880 | − | 0.856058i | \(-0.672907\pi\) |
0.999808 | + | 0.0196021i | \(0.00623993\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 21.5740 | − | 9.02983i | 0.954376 | − | 0.399456i | ||||
\(512\) | 34.8385 | + | 34.8385i | 1.53966 | + | 1.53966i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.11650 | − | 7.12999i | −0.181571 | − | 0.314490i | ||||
\(515\) | −1.51966 | + | 15.9813i | −0.0669642 | + | 0.704220i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 31.7301 | − | 31.7301i | 1.39549 | − | 1.39549i | ||||
\(518\) | −1.58984 | − | 0.651657i | −0.0698536 | − | 0.0286322i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.72698 | − | 10.0045i | 0.163439 | − | 0.438726i | ||||
\(521\) | −23.5882 | + | 13.6187i | −1.03342 | + | 0.596645i | −0.917962 | − | 0.396668i | \(-0.870167\pi\) |
−0.115457 | + | 0.993312i | \(0.536833\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 32.4329 | − | 8.69038i | 1.41819 | − | 0.380004i | 0.533351 | − | 0.845894i | \(-0.320933\pi\) |
0.884842 | + | 0.465891i | \(0.154266\pi\) | |||||||
\(524\) | −19.2938 | −0.842855 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −39.1628 | −1.70758 | ||||||||
\(527\) | −12.3189 | + | 3.30085i | −0.536621 | + | 0.143787i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 17.2148 | − | 9.93897i | 0.748470 | − | 0.432129i | ||||
\(530\) | −22.4562 | + | 60.2802i | −0.975437 | + | 2.61841i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3.98098 | − | 3.07817i | 0.172598 | − | 0.133456i | ||||
\(533\) | −0.186581 | + | 0.186581i | −0.00808174 | + | 0.00808174i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.0159939 | + | 0.168197i | −0.000691476 | + | 0.00727181i | ||||
\(536\) | 15.5809 | + | 26.9869i | 0.672992 | + | 1.16566i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −15.2223 | − | 15.2223i | −0.656282 | − | 0.656282i | ||||
\(539\) | 36.9525 | − | 10.1949i | 1.59166 | − | 0.439124i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −21.7925 | + | 37.7457i | −0.936931 | + | 1.62281i | −0.165778 | + | 0.986163i | \(0.553013\pi\) |
−0.771153 | + | 0.636649i | \(0.780320\pi\) | |||||||
\(542\) | 13.0428 | + | 3.49481i | 0.560237 | + | 0.150115i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −8.17735 | + | 14.1636i | −0.350601 | + | 0.607259i | ||||
\(545\) | 1.33494 | + | 7.91946i | 0.0571825 | + | 0.339232i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7.79378 | + | 7.79378i | 0.333238 | + | 0.333238i | 0.853815 | − | 0.520577i | \(-0.174283\pi\) |
−0.520577 | + | 0.853815i | \(0.674283\pi\) | |||||||
\(548\) | 10.1732 | + | 37.9669i | 0.434577 | + | 1.62186i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 4.96371 | + | 68.6398i | 0.211653 | + | 2.92681i | ||||
\(551\) | −0.325512 | − | 0.187934i | −0.0138673 | − | 0.00800628i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3.69825 | − | 27.3103i | −0.157266 | − | 1.16135i | ||||
\(554\) | − | 31.9134i | − | 1.35587i | ||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −43.4741 | + | 25.0998i | −1.84371 | + | 1.06447i | ||||
\(557\) | 0.180150 | − | 0.672329i | 0.00763320 | − | 0.0284875i | −0.962004 | − | 0.273035i | \(-0.911973\pi\) |
0.969637 | + | 0.244547i | \(0.0786393\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.732284 | 0.0309723 | ||||||||
\(560\) | −7.82109 | + | 34.6483i | −0.330501 | + | 1.46416i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −43.1645 | + | 11.5659i | −1.82078 | + | 0.487877i | ||||
\(563\) | 9.10686 | − | 33.9872i | 0.383808 | − | 1.43239i | −0.456229 | − | 0.889863i | \(-0.650800\pi\) |
0.840037 | − | 0.542529i | \(-0.182533\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 16.9715 | + | 37.1236i | 0.713997 | + | 1.56180i | ||||
\(566\) | − | 5.44610i | − | 0.228916i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 36.2266 | − | 36.2266i | 1.52003 | − | 1.52003i | ||||
\(569\) | −1.66149 | − | 0.959261i | −0.0696532 | − | 0.0402143i | 0.464769 | − | 0.885432i | \(-0.346137\pi\) |
−0.534422 | + | 0.845218i | \(0.679471\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 12.4151 | + | 21.5037i | 0.519558 | + | 0.899900i | 0.999742 | + | 0.0227326i | \(0.00723662\pi\) |
−0.480184 | + | 0.877168i | \(0.659430\pi\) | |||||||
\(572\) | 5.01620 | + | 18.7207i | 0.209738 | + | 0.782752i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1.29671 | − | 1.70291i | 0.0541237 | − | 0.0710780i | ||||
\(575\) | 3.85398 | − | 7.94973i | 0.160722 | − | 0.331527i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 30.2968 | + | 8.11801i | 1.26127 | + | 0.337957i | 0.826682 | − | 0.562670i | \(-0.190226\pi\) |
0.434592 | + | 0.900627i | \(0.356892\pi\) | |||||||
\(578\) | 13.5328 | + | 3.62612i | 0.562892 | + | 0.150827i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 8.12148 | − | 1.36899i | 0.337226 | − | 0.0568443i | ||||
\(581\) | 4.02302 | − | 31.4562i | 0.166903 | − | 1.30502i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −16.2225 | − | 60.5432i | −0.671868 | − | 2.50744i | ||||
\(584\) | −25.7416 | − | 44.5858i | −1.06520 | − | 1.84497i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −23.0457 | − | 13.3054i | −0.952008 | − | 0.549642i | ||||
\(587\) | −5.75225 | + | 5.75225i | −0.237421 | + | 0.237421i | −0.815781 | − | 0.578361i | \(-0.803693\pi\) |
0.578361 | + | 0.815781i | \(0.303693\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 1.18258i | − | 0.0487273i | ||||||
\(590\) | −29.5461 | + | 13.5074i | −1.21639 | + | 0.556089i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.401514 | + | 1.49847i | −0.0165021 | + | 0.0615867i | ||||
\(593\) | 33.8066 | − | 9.05846i | 1.38827 | − | 0.371986i | 0.514153 | − | 0.857698i | \(-0.328106\pi\) |
0.874119 | + | 0.485712i | \(0.161440\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 28.0864 | − | 1.11822i | 1.15143 | − | 0.0458424i | ||||
\(596\) | −48.1681 | −1.97304 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.942276 | − | 3.51662i | 0.0385325 | − | 0.143805i | ||||
\(599\) | 16.3670 | − | 9.44951i | 0.668739 | − | 0.386097i | −0.126860 | − | 0.991921i | \(-0.540490\pi\) |
0.795599 | + | 0.605824i | \(0.207156\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 10.3658i | 0.422828i | 0.977397 | + | 0.211414i | \(0.0678069\pi\) | ||||
−0.977397 | + | 0.211414i | \(0.932193\pi\) | |||||||
\(602\) | −5.88637 | + | 0.797109i | −0.239911 | + | 0.0324877i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −6.02684 | − | 3.47960i | −0.245229 | − | 0.141583i | ||||
\(605\) | −27.0461 | − | 32.7302i | −1.09958 | − | 1.33067i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 5.77280 | + | 21.5444i | 0.234311 | + | 0.874459i | 0.978458 | + | 0.206444i | \(0.0661892\pi\) |
−0.744148 | + | 0.668015i | \(0.767144\pi\) | |||||||
\(608\) | −1.07233 | − | 1.07233i | −0.0434887 | − | 0.0434887i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 21.5631 | − | 30.3065i | 0.873065 | − | 1.22707i | ||||
\(611\) | 3.35877 | − | 5.81755i | 0.135881 | − | 0.235353i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −17.0896 | − | 4.57915i | −0.690244 | − | 0.184950i | −0.103387 | − | 0.994641i | \(-0.532968\pi\) |
−0.586857 | + | 0.809691i | \(0.699635\pi\) | |||||||
\(614\) | −17.4082 | + | 30.1519i | −0.702538 | + | 1.21683i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −32.5801 | − | 77.8400i | −1.31269 | − | 3.13626i | ||||
\(617\) | −27.6697 | − | 27.6697i | −1.11394 | − | 1.11394i | −0.992612 | − | 0.121329i | \(-0.961284\pi\) |
−0.121329 | − | 0.992612i | \(-0.538716\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 10.8012 | + | 18.7082i | 0.434135 | + | 0.751944i | 0.997225 | − | 0.0744519i | \(-0.0237207\pi\) |
−0.563090 | + | 0.826396i | \(0.690387\pi\) | |||||||
\(620\) | 16.5063 | + | 19.9753i | 0.662907 | + | 0.802227i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −27.6186 | + | 27.6186i | −1.10741 | + | 1.10741i | ||||
\(623\) | −21.1839 | + | 2.86864i | −0.848716 | + | 0.114930i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.59696 | + | 24.7399i | 0.143878 | + | 0.989595i | ||||
\(626\) | 2.91097 | − | 1.68065i | 0.116346 | − | 0.0671722i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −74.3418 | + | 19.9198i | −2.96656 | + | 0.794888i | ||||
\(629\) | 1.22764 | 0.0489492 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 24.2720 | 0.966253 | 0.483126 | − | 0.875551i | \(-0.339501\pi\) | ||||
0.483126 | + | 0.875551i | \(0.339501\pi\) | |||||||
\(632\) | −58.6001 | + | 15.7018i | −2.33099 | + | 0.624586i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −15.1527 | + | 8.74841i | −0.601790 | + | 0.347444i | ||||
\(635\) | −38.9104 | + | 17.7884i | −1.54411 | + | 0.705910i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 4.94831 | − | 2.90591i | 0.196059 | − | 0.115136i | ||||
\(638\) | −8.30334 | + | 8.30334i | −0.328733 | + | 0.328733i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −34.1031 | − | 3.24287i | −1.34804 | − | 0.128186i | ||||
\(641\) | −4.34807 | − | 7.53107i | −0.171738 | − | 0.297460i | 0.767289 | − | 0.641301i | \(-0.221605\pi\) |
−0.939028 | + | 0.343842i | \(0.888272\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 20.2627 | + | 20.2627i | 0.799081 | + | 0.799081i | 0.982951 | − | 0.183870i | \(-0.0588624\pi\) |
−0.183870 | + | 0.982951i | \(0.558862\pi\) | |||||||
\(644\) | −2.56033 | + | 20.0194i | −0.100891 | + | 0.788875i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −2.63055 | + | 4.55624i | −0.103498 | + | 0.179263i | ||||
\(647\) | 42.1899 | + | 11.3048i | 1.65866 | + | 0.444436i | 0.962018 | − | 0.272986i | \(-0.0880112\pi\) |
0.696639 | + | 0.717422i | \(0.254678\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 15.8274 | − | 27.4139i | 0.621280 | − | 1.07609i | ||||
\(650\) | 3.37722 | + | 9.73296i | 0.132466 | + | 0.381758i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 25.4135 | + | 25.4135i | 0.995269 | + | 0.995269i | ||||
\(653\) | −1.46486 | − | 5.46693i | −0.0573243 | − | 0.213937i | 0.931322 | − | 0.364196i | \(-0.118656\pi\) |
−0.988647 | + | 0.150258i | \(0.951989\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 7.70333 | − | 6.36553i | 0.300994 | − | 0.248722i | ||||
\(656\) | −1.67361 | − | 0.966261i | −0.0653436 | − | 0.0377262i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −20.6665 | + | 50.4197i | −0.805662 | + | 1.96557i | ||||
\(659\) | − | 4.78729i | − | 0.186486i | −0.995643 | − | 0.0932432i | \(-0.970277\pi\) | ||
0.995643 | − | 0.0932432i | \(-0.0297234\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 27.7652 | − | 16.0302i | 1.07994 | − | 0.623504i | 0.149060 | − | 0.988828i | \(-0.452375\pi\) |
0.930880 | + | 0.365324i | \(0.119042\pi\) | |||||||
\(662\) | −3.99574 | + | 14.9123i | −0.155299 | + | 0.579583i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −69.8090 | −2.70912 | ||||||||
\(665\) | −0.573897 | + | 2.54243i | −0.0222548 | + | 0.0985913i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.45611 | − | 0.390163i | 0.0563807 | − | 0.0151072i | ||||
\(668\) | −8.52149 | + | 31.8026i | −0.329706 | + | 1.23048i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −28.1786 | − | 10.4974i | −1.08863 | − | 0.405550i | ||||
\(671\) | 36.2417i | 1.39910i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −15.5097 | + | 15.5097i | −0.597856 | + | 0.597856i | −0.939741 | − | 0.341886i | \(-0.888934\pi\) |
0.341886 | + | 0.939741i | \(0.388934\pi\) | |||||||
\(674\) | −5.09585 | − | 2.94209i | −0.196285 | − | 0.113325i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −26.6113 | − | 46.0921i | −1.02351 | − | 1.77277i | ||||
\(677\) | 2.82458 | + | 10.5415i | 0.108557 | + | 0.405142i | 0.998724 | − | 0.0504927i | \(-0.0160792\pi\) |
−0.890167 | + | 0.455634i | \(0.849412\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 22.2518 | + | 2.84584i | 0.853946 | + | 0.109213i | ||||
\(680\) | −10.2850 | − | 61.0153i | −0.394412 | − | 2.33983i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −35.6866 | − | 9.56220i | −1.36651 | − | 0.366156i | ||||
\(683\) | −8.05965 | − | 2.15958i | −0.308394 | − | 0.0826339i | 0.101303 | − | 0.994856i | \(-0.467699\pi\) |
−0.409697 | + | 0.912222i | \(0.634366\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −16.5880 | − | 11.8024i | −0.633796 | − | 0.450947i | ||||
\(686\) | −36.6132 | + | 28.7451i | −1.39790 | + | 1.09749i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.38809 | + | 5.18042i | 0.0529204 | + | 0.197502i | ||||
\(689\) | −4.69154 | − | 8.12598i | −0.178733 | − | 0.309575i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.6318 | − | 13.0665i | −0.860955 | − | 0.497073i | 0.00337678 | − | 0.999994i | \(-0.498925\pi\) |
−0.864332 | + | 0.502922i | \(0.832258\pi\) | |||||||
\(692\) | 53.9171 | − | 53.9171i | 2.04962 | − | 2.04962i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 22.0706i | − | 0.837788i | ||||||
\(695\) | 9.07658 | − | 24.3646i | 0.344294 | − | 0.924204i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.395810 | + | 1.47718i | −0.0149924 | + | 0.0559523i | ||||
\(698\) | 34.3300 | − | 9.19869i | 1.29941 | − | 0.348176i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −25.7930 | − | 50.9553i | −0.974884 | − | 1.92593i | ||||
\(701\) | −22.6216 | −0.854408 | −0.427204 | − | 0.904155i | \(-0.640501\pi\) | ||||
−0.427204 | + | 0.904155i | \(0.640501\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.0294624 | + | 0.109955i | −0.00111119 | + | 0.00414703i | ||||
\(704\) | 15.9172 | − | 9.18983i | 0.599904 | − | 0.346355i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 63.9767i | 2.40779i | ||||||||
\(707\) | −8.88957 | − | 3.64373i | −0.334327 | − | 0.137037i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −13.1813 | − | 7.61025i | −0.495035 | − | 0.285809i | 0.231626 | − | 0.972805i | \(-0.425596\pi\) |
−0.726661 | + | 0.686996i | \(0.758929\pi\) | |||||||
\(710\) | −4.67992 | + | 49.2158i | −0.175634 | + | 1.84703i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 12.1795 | + | 45.4547i | 0.456448 | + | 1.70349i | ||||
\(713\) | 3.35373 | + | 3.35373i | 0.125598 | + | 0.125598i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −8.17923 | − | 5.81954i | −0.305886 | − | 0.217638i | ||||
\(716\) | 33.3537 | − | 57.7704i | 1.24649 | − | 2.15898i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −21.2349 | − | 5.68987i | −0.792479 | − | 0.212344i | ||||
\(719\) | 3.69885 | − | 6.40659i | 0.137944 | − | 0.238925i | −0.788774 | − | 0.614683i | \(-0.789284\pi\) |
0.926718 | + | 0.375757i | \(0.122617\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 15.1121 | + | 11.5074i | 0.562804 | + | 0.428558i | ||||
\(722\) | 33.4228 | + | 33.4228i | 1.24387 | + | 1.24387i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −57.2620 | − | 99.1807i | −2.12813 | − | 3.68602i | ||||
\(725\) | −2.79095 | + | 3.22607i | −0.103653 | + | 0.119813i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −7.58690 | + | 7.58690i | −0.281383 | + | 0.281383i | −0.833660 | − | 0.552278i | \(-0.813759\pi\) |
0.552278 | + | 0.833660i | \(0.313759\pi\) | |||||||
\(728\) | −7.72700 | − | 9.99330i | −0.286382 | − | 0.370376i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 46.5546 | + | 17.3430i | 1.72306 | + | 0.641894i | ||||
\(731\) | 3.67551 | − | 2.12206i | 0.135944 | − | 0.0784872i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −43.3394 | + | 11.6127i | −1.60078 | + | 0.428927i | −0.945277 | − | 0.326270i | \(-0.894208\pi\) |
−0.655499 | + | 0.755196i | \(0.727542\pi\) | |||||||
\(734\) | −85.8669 | −3.16941 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.08215 | 0.224191 | ||||||||
\(737\) | 28.3015 | − | 7.58337i | 1.04250 | − | 0.279337i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 23.6682 | − | 13.6649i | 0.870650 | − | 0.502670i | 0.00308556 | − | 0.999995i | \(-0.499018\pi\) |
0.867564 | + | 0.497325i | \(0.165684\pi\) | |||||||
\(740\) | −1.03708 | − | 2.26852i | −0.0381238 | − | 0.0833923i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 46.5576 | + | 60.2127i | 1.70918 | + | 2.21048i | ||||
\(743\) | −11.4233 | + | 11.4233i | −0.419081 | + | 0.419081i | −0.884887 | − | 0.465806i | \(-0.845764\pi\) |
0.465806 | + | 0.884887i | \(0.345764\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 19.2318 | − | 15.8919i | 0.704599 | − | 0.582234i | ||||
\(746\) | −2.33669 | − | 4.04727i | −0.0855523 | − | 0.148181i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 79.4276 | + | 79.4276i | 2.90416 | + | 2.90416i | ||||
\(749\) | 0.159049 | + | 0.121111i | 0.00581154 | + | 0.00442531i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.08894 | − | 3.61815i | 0.0762265 | − | 0.132028i | −0.825392 | − | 0.564559i | \(-0.809046\pi\) |
0.901619 | + | 0.432531i | \(0.142379\pi\) | |||||||
\(752\) | 47.5220 | + | 12.7335i | 1.73295 | + | 0.464342i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.878944 | + | 1.52238i | −0.0320093 | + | 0.0554417i | ||||
\(755\) | 3.55431 | − | 0.599130i | 0.129355 | − | 0.0218046i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −20.2821 | − | 20.2821i | −0.737166 | − | 0.737166i | 0.234862 | − | 0.972029i | \(-0.424536\pi\) |
−0.972029 | + | 0.234862i | \(0.924536\pi\) | |||||||
\(758\) | −3.84977 | − | 14.3675i | −0.139830 | − | 0.521852i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 5.71175 | + | 0.543130i | 0.207187 | + | 0.0197014i | ||||
\(761\) | 23.4603 | + | 13.5448i | 0.850437 | + | 0.491000i | 0.860798 | − | 0.508946i | \(-0.169965\pi\) |
−0.0103614 | + | 0.999946i | \(0.503298\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 8.79266 | + | 3.60401i | 0.318316 | + | 0.130474i | ||||
\(764\) | 114.219i | 4.13229i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −6.90230 | + | 3.98504i | −0.249390 | + | 0.143985i | ||||
\(767\) | 1.22648 | − | 4.57727i | 0.0442855 | − | 0.165276i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −42.3447 | −1.52699 | −0.763494 | − | 0.645815i | \(-0.776518\pi\) | ||||
−0.763494 | + | 0.645815i | \(0.776518\pi\) | |||||||
\(770\) | 72.0824 | + | 37.8763i | 2.59767 | + | 1.36497i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 69.9835 | − | 18.7520i | 2.51876 | − | 0.674900i | ||||
\(773\) | −9.11140 | + | 34.0042i | −0.327714 | + | 1.22305i | 0.583841 | + | 0.811868i | \(0.301549\pi\) |
−0.911555 | + | 0.411178i | \(0.865117\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −13.1807 | − | 2.52958i | −0.473465 | − | 0.0908652i | ||||
\(776\) | − | 49.3823i | − | 1.77272i | ||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −36.6487 | + | 36.6487i | −1.31392 | + | 1.31392i | ||||
\(779\) | −0.122807 | − | 0.0709025i | −0.00440001 | − | 0.00254035i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −24.0855 | − | 41.7173i | −0.861847 | − | 1.49276i | ||||
\(782\) | −5.46117 | − | 20.3814i | −0.195291 | − | 0.728836i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 29.9372 | + | 29.4976i | 1.06918 | + | 1.05349i | ||||
\(785\) | 23.1100 | − | 32.4805i | 0.824830 | − | 1.15928i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 30.9094 | + | 8.28215i | 1.10180 | + | 0.295227i | 0.763498 | − | 0.645810i | \(-0.223480\pi\) |
0.338304 | + | 0.941037i | \(0.390147\pi\) | |||||||
\(788\) | −2.47080 | − | 0.662049i | −0.0880186 | − | 0.0235845i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 33.9391 | − | 47.7007i | 1.20750 | − | 1.69711i | ||||
\(791\) | 47.9076 | + | 6.12703i | 1.70340 | + | 0.217852i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.40420 | + | 5.24054i | 0.0498646 | + | 0.186097i | ||||
\(794\) | −12.9572 | − | 22.4425i | −0.459833 | − | 0.796453i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 91.3685 | + | 52.7516i | 3.23847 | + | 1.86973i | ||||
\(797\) | −12.0046 | + | 12.0046i | −0.425224 | + | 0.425224i | −0.886998 | − | 0.461774i | \(-0.847213\pi\) |
0.461774 | + | 0.886998i | \(0.347213\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 38.9330i | − | 1.37735i | ||||||
\(800\) | −14.2457 | + | 9.65816i | −0.503660 | + | 0.341468i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 8.57017 | − | 31.9843i | 0.302623 | − | 1.12941i | ||||
\(803\) | −46.7577 | + | 12.5287i | −1.65004 | + | 0.442128i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −5.58266 | − | 8.83775i | −0.196763 | − | 0.311490i | ||||
\(806\) | −5.53076 | −0.194813 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −5.47372 | + | 20.4282i | −0.192565 | + | 0.718661i | ||||
\(809\) | −24.1018 | + | 13.9152i | −0.847375 | + | 0.489232i | −0.859764 | − | 0.510691i | \(-0.829390\pi\) |
0.0123895 | + | 0.999923i | \(0.496056\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 9.68692i | 0.340154i | 0.985431 | + | 0.170077i | \(0.0544016\pi\) | ||||
−0.985431 | + | 0.170077i | \(0.945598\pi\) | |||||||
\(812\) | 3.69595 | − | 9.01696i | 0.129702 | − | 0.316433i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 3.07988 | + | 1.77817i | 0.107950 | + | 0.0623248i | ||||
\(815\) | −18.5313 | − | 1.76214i | −0.649121 | − | 0.0617249i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.101855 | + | 0.380130i | 0.00356347 | + | 0.0132991i | ||||
\(818\) | −34.6148 | − | 34.6148i | −1.21028 | − | 1.21028i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 3.06401 | − | 0.516483i | 0.107000 | − | 0.0180364i | ||||
\(821\) | 7.99960 | − | 13.8557i | 0.279188 | − | 0.483568i | −0.691995 | − | 0.721902i | \(-0.743268\pi\) |
0.971183 | + | 0.238334i | \(0.0766014\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 3.54651 | + | 0.950285i | 0.123624 | + | 0.0331248i | 0.320100 | − | 0.947384i | \(-0.396283\pi\) |
−0.196477 | + | 0.980508i | \(0.562950\pi\) | |||||||
\(824\) | 20.9066 | − | 36.2113i | 0.728315 | − | 1.26148i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −4.87640 | + | 38.1288i | −0.169672 | + | 1.32667i | ||||
\(827\) | −26.8259 | − | 26.8259i | −0.932827 | − | 0.932827i | 0.0650544 | − | 0.997882i | \(-0.479278\pi\) |
−0.997882 | + | 0.0650544i | \(0.979278\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 20.5625 | + | 35.6154i | 0.714167 | + | 1.23697i | 0.963280 | + | 0.268499i | \(0.0865275\pi\) |
−0.249113 | + | 0.968474i | \(0.580139\pi\) | |||||||
\(830\) | 51.9288 | − | 42.9105i | 1.80248 | − | 1.48945i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1.94556 | − | 1.94556i | 0.0674503 | − | 0.0674503i | ||||
\(833\) | 16.4159 | − | 28.9250i | 0.568776 | − | 1.00219i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −7.09018 | − | 15.5091i | −0.245366 | − | 0.536715i | ||||
\(836\) | −9.02023 | + | 5.20783i | −0.311971 | + | 0.180117i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 73.6422 | − | 19.7324i | 2.54393 | − | 0.681643i | ||||
\(839\) | 14.6665 | 0.506345 | 0.253172 | − | 0.967421i | \(-0.418526\pi\) | ||||
0.253172 | + | 0.967421i | \(0.418526\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 28.2721 | 0.974901 | ||||||||
\(842\) | 46.6259 | − | 12.4934i | 1.60683 | − | 0.430550i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −92.6355 | + | 53.4831i | −3.18864 | + | 1.84097i | ||||
\(845\) | 25.8319 | + | 9.62318i | 0.888644 | + | 0.331048i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −49.7837 | + | 6.74151i | −1.71059 | + | 0.231641i | ||||
\(848\) | 48.5927 | − | 48.5927i | 1.66868 | − | 1.66868i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 45.1559 | + | 39.0654i | 1.54883 | + | 1.33993i | ||||
\(851\) | −0.228273 | − | 0.395381i | −0.00782510 | − | 0.0135535i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −23.0735 | − | 23.0735i | −0.790022 | − | 0.790022i | 0.191475 | − | 0.981497i | \(-0.438673\pi\) |
−0.981497 | + | 0.191475i | \(0.938673\pi\) | |||||||
\(854\) | −16.9919 | − | 40.5969i | −0.581451 | − | 1.38920i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0.220034 | − | 0.381111i | 0.00752062 | − | 0.0130261i | ||||
\(857\) | 8.92222 | + | 2.39070i | 0.304777 | + | 0.0816648i | 0.407966 | − | 0.912997i | \(-0.366238\pi\) |
−0.103189 | + | 0.994662i | \(0.532905\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 25.5426 | − | 44.2411i | 0.871503 | − | 1.50949i | 0.0110616 | − | 0.999939i | \(-0.496479\pi\) |
0.860442 | − | 0.509549i | \(-0.170188\pi\) | |||||||
\(860\) | −7.02627 | − | 4.99920i | −0.239594 | − | 0.170471i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −5.92690 | − | 5.92690i | −0.201871 | − | 0.201871i | ||||
\(863\) | −5.61477 | − | 20.9546i | −0.191129 | − | 0.713303i | −0.993235 | − | 0.116121i | \(-0.962954\pi\) |
0.802106 | − | 0.597181i | \(-0.203713\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −3.73854 | + | 39.3158i | −0.127114 | + | 1.33678i | ||||
\(866\) | −39.3296 | − | 22.7070i | −1.33647 | − | 0.771614i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 30.3830 | − | 4.11435i | 1.03127 | − | 0.139650i | ||||
\(869\) | 57.0425i | 1.93503i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 3.79857 | − | 2.19310i | 0.128710 | − | 0.0743105i | ||||
\(872\) | 5.41405 | − | 20.2055i | 0.183343 | − | 0.684245i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 1.95655 | 0.0661812 | ||||||||
\(875\) | 27.1097 | + | 11.8349i | 0.916475 | + | 0.400092i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 35.3523 | − | 9.47262i | 1.19376 | − | 0.319868i | 0.393391 | − | 0.919371i | \(-0.371302\pi\) |
0.800372 | + | 0.599504i | \(0.204635\pi\) | |||||||
\(878\) | −15.7580 | + | 58.8098i | −0.531808 | + | 1.98473i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 25.6651 | − | 68.8938i | 0.865170 | − | 2.32241i | ||||
\(881\) | 57.6727i | 1.94304i | 0.236949 | + | 0.971522i | \(0.423852\pi\) | ||||
−0.236949 | + | 0.971522i | \(0.576148\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −27.2669 | + | 27.2669i | −0.917604 | + | 0.917604i | −0.996855 | − | 0.0792504i | \(-0.974747\pi\) |
0.0792504 | + | 0.996855i | \(0.474747\pi\) | |||||||
\(884\) | 14.5626 | + | 8.40774i | 0.489795 | + | 0.282783i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −26.8086 | − | 46.4338i | −0.900652 | − | 1.55997i | ||||
\(887\) | −1.03798 | − | 3.87380i | −0.0348520 | − | 0.130070i | 0.946308 | − | 0.323266i | \(-0.104781\pi\) |
−0.981160 | + | 0.193197i | \(0.938114\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −6.42193 | + | 50.2134i | −0.215385 | + | 1.68410i | ||||
\(890\) | −37.0003 | − | 26.3258i | −1.24025 | − | 0.882442i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 50.5651 | + | 13.5489i | 1.69304 | + | 0.453650i | ||||
\(893\) | 3.48708 | + | 0.934361i | 0.116691 | + | 0.0312672i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.74297 | + | 34.0699i | 0.191966 | + | 1.13883i | ||||
\(896\) | −24.5561 | + | 32.2483i | −0.820362 | + | 1.07734i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −6.92891 | − | 25.8590i | −0.231221 | − | 0.862927i | ||||
\(899\) | −1.14505 | − | 1.98328i | −0.0381894 | − | 0.0661460i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −47.0959 | − | 27.1908i | −1.56899 | − | 0.905858i | ||||
\(902\) | −3.13262 | + | 3.13262i | −0.104305 | + | 0.104305i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | − | 106.319i | − | 3.53611i | ||||||
\(905\) | 55.5849 | + | 20.7071i | 1.84771 | + | 0.688328i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 6.43290 | − | 24.0079i | 0.213601 | − | 0.797169i | −0.773054 | − | 0.634341i | \(-0.781272\pi\) |
0.986654 | − | 0.162828i | \(-0.0520617\pi\) | |||||||
\(908\) | 89.4542 | − | 23.9692i | 2.96864 | − | 0.795445i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 11.8906 | + | 2.68404i | 0.394170 | + | 0.0889751i | ||||
\(911\) | −19.0430 | −0.630921 | −0.315461 | − | 0.948939i | \(-0.602159\pi\) | ||||
−0.315461 | + | 0.948939i | \(0.602159\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −16.9884 | + | 63.4014i | −0.562233 | + | 2.09828i | ||||
\(914\) | −52.7011 | + | 30.4270i | −1.74320 | + | 1.00644i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | − | 24.6830i | − | 0.815550i | ||||||
\(917\) | −1.58667 | − | 11.7170i | −0.0523965 | − | 0.386930i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −0.948190 | − | 0.547437i | −0.0312779 | − | 0.0180583i | 0.484280 | − | 0.874913i | \(-0.339082\pi\) |
−0.515557 | + | 0.856855i | \(0.672415\pi\) | |||||||
\(920\) | −17.7385 | + | 14.6579i | −0.584821 | + | 0.483258i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −21.5719 | − | 80.5076i | −0.710434 | − | 2.65138i | ||||
\(923\) | −5.09911 | − | 5.09911i | −0.167839 | − | 0.167839i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.16251 | + | 0.563578i | 0.0382231 | + | 0.0185303i | ||||
\(926\) | −31.8908 | + | 55.2366i | −1.04800 | + | 1.81519i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −2.83668 | − | 0.760085i | −0.0931185 | − | 0.0249510i | ||||
\(929\) | −17.5714 | + | 30.4346i | −0.576499 | + | 0.998526i | 0.419378 | + | 0.907812i | \(0.362248\pi\) |
−0.995877 | + | 0.0907143i | \(0.971085\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 2.19674 | + | 2.16448i | 0.0719951 | + | 0.0709381i | ||||
\(932\) | 1.37187 | + | 1.37187i | 0.0449370 | + | 0.0449370i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 12.1760 | + | 21.0894i | 0.398410 | + | 0.690066i | ||||
\(935\) | −57.9178 | − | 5.50740i | −1.89411 | − | 0.180111i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −25.8188 | + | 25.8188i | −0.843465 | + | 0.843465i | −0.989308 | − | 0.145843i | \(-0.953411\pi\) |
0.145843 | + | 0.989308i | \(0.453411\pi\) | |||||||
\(938\) | −28.1470 | + | 21.7638i | −0.919034 | + | 0.710614i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −71.9430 | + | 32.8896i | −2.34652 | + | 1.07274i | ||||
\(941\) | 43.6393 | − | 25.1952i | 1.42260 | − | 0.821339i | 0.426081 | − | 0.904685i | \(-0.359894\pi\) |
0.996521 | + | 0.0833460i | \(0.0265607\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.549350 | − | 0.147198i | 0.0178893 | − | 0.00479342i | ||||
\(944\) | 34.7060 | 1.12958 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 12.2947 | 0.399737 | ||||||||
\(947\) | −2.33947 | + | 0.626858i | −0.0760225 | + | 0.0203702i | −0.296630 | − | 0.954993i | \(-0.595863\pi\) |
0.220607 | + | 0.975363i | \(0.429196\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −6.27572 | + | 3.62329i | −0.203718 | + | 0.117617i | ||||
\(950\) | −4.58265 | + | 3.10691i | −0.148681 | + | 0.100801i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −67.7429 | − | 27.7670i | −2.19556 | − | 0.899934i | ||||
\(953\) | −9.85550 | + | 9.85550i | −0.319251 | + | 0.319251i | −0.848479 | − | 0.529228i | \(-0.822481\pi\) |
0.529228 | + | 0.848479i | \(0.322481\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −37.6837 | − | 45.6034i | −1.21941 | − | 1.47569i | ||||
\(956\) | 26.5654 | + | 46.0126i | 0.859186 | + | 1.48815i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −53.6000 | − | 53.6000i | −1.73174 | − | 1.73174i | ||||
\(959\) | −22.2204 | + | 9.30040i | −0.717535 | + | 0.300326i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −11.8974 | + | 20.6069i | −0.383787 | + | 0.664739i | ||||
\(962\) | 0.514245 | + | 0.137792i | 0.0165799 | + | 0.00444258i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −6.91297 | + | 11.9736i | −0.222652 | + | 0.385644i | ||||
\(965\) | −21.7551 | + | 30.5764i | −0.700323 | + | 0.984288i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −9.44361 | − | 9.44361i | −0.303686 | − | 0.303686i | 0.538768 | − | 0.842454i | \(-0.318890\pi\) |
−0.842454 | + | 0.538768i | \(0.818890\pi\) | |||||||
\(968\) | 28.6228 | + | 106.822i | 0.919971 | + | 3.43338i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 30.3545 | + | 36.7340i | 0.974625 | + | 1.17946i | ||||
\(971\) | −27.7635 | − | 16.0293i | −0.890974 | − | 0.514404i | −0.0167131 | − | 0.999860i | \(-0.505320\pi\) |
−0.874261 | + | 0.485456i | \(0.838654\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −18.8181 | − | 24.3374i | −0.603281 | − | 0.780220i | ||||
\(974\) | − | 94.0448i | − | 3.01339i | ||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −34.4115 | + | 19.8675i | −1.10149 | + | 0.635944i | ||||
\(977\) | 10.9872 | − | 41.0047i | 0.351510 | − | 1.31185i | −0.533309 | − | 0.845921i | \(-0.679052\pi\) |
0.884819 | − | 0.465934i | \(-0.154282\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 44.2465 | 1.41412 | ||||||||
\(980\) | −67.3173 | − | 5.89922i | −2.15037 | − | 0.188444i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 32.7782 | − | 8.78289i | 1.04599 | − | 0.280273i | ||||
\(983\) | −11.2295 | + | 41.9091i | −0.358166 | + | 1.33669i | 0.518287 | + | 0.855207i | \(0.326570\pi\) |
−0.876453 | + | 0.481487i | \(0.840097\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.20493 | − | 0.550848i | 0.0383922 | − | 0.0175515i | ||||
\(986\) | 10.1882i | 0.324459i | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.10254 | + | 1.10254i | −0.0350765 | + | 0.0350765i | ||||
\(989\) | −1.36689 | − | 0.789172i | −0.0434644 | − | 0.0250942i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −2.15480 | − | 3.73222i | −0.0684495 | − | 0.118558i | 0.829769 | − | 0.558106i | \(-0.188472\pi\) |
−0.898219 | + | 0.439548i | \(0.855139\pi\) | |||||||
\(992\) | −2.39142 | − | 8.92490i | −0.0759277 | − | 0.283366i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 46.5390 | + | 35.4380i | 1.47613 | + | 1.12402i | ||||
\(995\) | −53.8843 | + | 9.08297i | −1.70825 | + | 0.287949i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 7.21115 | + | 1.93222i | 0.228379 | + | 0.0611940i | 0.371194 | − | 0.928555i | \(-0.378949\pi\) |
−0.142814 | + | 0.989749i | \(0.545615\pi\) | |||||||
\(998\) | −50.6045 | − | 13.5594i | −1.60186 | − | 0.429216i | ||||
\(999\) | 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 | 315.2.bz.d.82.8 | 32 | ||
3.2 | odd | 2 | 105.2.u.a.82.1 | yes | 32 | ||
5.3 | odd | 4 | inner | 315.2.bz.d.208.1 | 32 | ||
7.3 | odd | 6 | inner | 315.2.bz.d.262.1 | 32 | ||
15.2 | even | 4 | 525.2.bc.e.418.1 | 32 | |||
15.8 | even | 4 | 105.2.u.a.103.8 | yes | 32 | ||
15.14 | odd | 2 | 525.2.bc.e.82.8 | 32 | |||
21.2 | odd | 6 | 735.2.m.c.97.15 | 32 | |||
21.5 | even | 6 | 735.2.m.c.97.16 | 32 | |||
21.11 | odd | 6 | 735.2.v.b.472.8 | 32 | |||
21.17 | even | 6 | 105.2.u.a.52.8 | ✓ | 32 | ||
21.20 | even | 2 | 735.2.v.b.607.1 | 32 | |||
35.3 | even | 12 | inner | 315.2.bz.d.73.8 | 32 | ||
105.17 | odd | 12 | 525.2.bc.e.493.8 | 32 | |||
105.23 | even | 12 | 735.2.m.c.538.16 | 32 | |||
105.38 | odd | 12 | 105.2.u.a.73.1 | yes | 32 | ||
105.53 | even | 12 | 735.2.v.b.178.1 | 32 | |||
105.59 | even | 6 | 525.2.bc.e.157.1 | 32 | |||
105.68 | odd | 12 | 735.2.m.c.538.15 | 32 | |||
105.83 | odd | 4 | 735.2.v.b.313.8 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.2.u.a.52.8 | ✓ | 32 | 21.17 | even | 6 | ||
105.2.u.a.73.1 | yes | 32 | 105.38 | odd | 12 | ||
105.2.u.a.82.1 | yes | 32 | 3.2 | odd | 2 | ||
105.2.u.a.103.8 | yes | 32 | 15.8 | even | 4 | ||
315.2.bz.d.73.8 | 32 | 35.3 | even | 12 | inner | ||
315.2.bz.d.82.8 | 32 | 1.1 | even | 1 | trivial | ||
315.2.bz.d.208.1 | 32 | 5.3 | odd | 4 | inner | ||
315.2.bz.d.262.1 | 32 | 7.3 | odd | 6 | inner | ||
525.2.bc.e.82.8 | 32 | 15.14 | odd | 2 | |||
525.2.bc.e.157.1 | 32 | 105.59 | even | 6 | |||
525.2.bc.e.418.1 | 32 | 15.2 | even | 4 | |||
525.2.bc.e.493.8 | 32 | 105.17 | odd | 12 | |||
735.2.m.c.97.15 | 32 | 21.2 | odd | 6 | |||
735.2.m.c.97.16 | 32 | 21.5 | even | 6 | |||
735.2.m.c.538.15 | 32 | 105.68 | odd | 12 | |||
735.2.m.c.538.16 | 32 | 105.23 | even | 12 | |||
735.2.v.b.178.1 | 32 | 105.53 | even | 12 | |||
735.2.v.b.313.8 | 32 | 105.83 | odd | 4 | |||
735.2.v.b.472.8 | 32 | 21.11 | odd | 6 | |||
735.2.v.b.607.1 | 32 | 21.20 | even | 2 |