Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [585,2,Mod(376,585)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(585, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("585.376");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 585 = 3^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 585.bt (of order \(6\), degree \(2\), 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: | \(4.67124851824\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 571.15 | ||
Character | \(\chi\) | \(=\) | 585.571 |
Dual form | 585.2.bt.b.376.15 |
$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) | \(496\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.22618 | + | 0.707937i | −0.867043 | + | 0.500587i | −0.866364 | − | 0.499412i | \(-0.833549\pi\) |
−0.000678402 | 1.00000i | \(0.500216\pi\) | ||||||||
\(3\) | 1.65800 | + | 0.501035i | 0.957247 | + | 0.289273i | ||||
\(4\) | 0.00235097 | − | 0.00407201i | 0.00117549 | − | 0.00203600i | ||||
\(5\) | 0.866025 | + | 0.500000i | 0.387298 | + | 0.223607i | ||||
\(6\) | −2.38771 | + | 0.559399i | −0.974780 | + | 0.228374i | ||||
\(7\) | −0.00992873 | + | 0.00573236i | −0.00375271 | + | 0.00216663i | −0.501875 | − | 0.864940i | \(-0.667356\pi\) |
0.498122 | + | 0.867107i | \(0.334023\pi\) | |||||||
\(8\) | − | 2.82509i | − | 0.998821i | ||||||
\(9\) | 2.49793 | + | 1.66143i | 0.832643 | + | 0.553811i | ||||
\(10\) | −1.41587 | −0.447739 | ||||||||
\(11\) | −3.20924 | + | 1.85286i | −0.967622 | + | 0.558657i | −0.898510 | − | 0.438952i | \(-0.855350\pi\) |
−0.0691115 | + | 0.997609i | \(0.522016\pi\) | |||||||
\(12\) | 0.00593813 | − | 0.00557347i | 0.00171419 | − | 0.00160892i | ||||
\(13\) | −3.01269 | + | 1.98083i | −0.835570 | + | 0.549384i | ||||
\(14\) | 0.00811630 | − | 0.0140578i | 0.00216917 | − | 0.00375712i | ||||
\(15\) | 1.18535 | + | 1.26291i | 0.306057 | + | 0.326082i | ||||
\(16\) | 2.00469 | + | 3.47223i | 0.501173 | + | 0.868057i | ||||
\(17\) | 4.64895 | 1.12754 | 0.563768 | − | 0.825933i | \(-0.309351\pi\) | ||||
0.563768 | + | 0.825933i | \(0.309351\pi\) | |||||||
\(18\) | −4.23911 | − | 0.268844i | −0.999167 | − | 0.0633671i | ||||
\(19\) | 6.04019i | 1.38572i | 0.721074 | + | 0.692858i | \(0.243649\pi\) | ||||
−0.721074 | + | 0.692858i | \(0.756351\pi\) | |||||||
\(20\) | 0.00407201 | − | 0.00235097i | 0.000910528 | − | 0.000525694i | ||||
\(21\) | −0.0193339 | + | 0.00452960i | −0.00421901 | + | 0.000988441i | ||||
\(22\) | 2.62341 | − | 4.54388i | 0.559313 | − | 0.968759i | ||||
\(23\) | −2.42067 | + | 4.19273i | −0.504745 | + | 0.874245i | 0.495240 | + | 0.868756i | \(0.335080\pi\) |
−0.999985 | + | 0.00548811i | \(0.998253\pi\) | |||||||
\(24\) | 1.41547 | − | 4.68400i | 0.288932 | − | 0.956118i | ||||
\(25\) | 0.500000 | + | 0.866025i | 0.100000 | + | 0.173205i | ||||
\(26\) | 2.29181 | − | 4.56166i | 0.449461 | − | 0.894615i | ||||
\(27\) | 3.30913 | + | 4.00620i | 0.636842 | + | 0.770994i | ||||
\(28\) | 0 | 5.39065e-5i | 0 | 1.01874e-5i | ||||||
\(29\) | −4.46472 | − | 7.73312i | −0.829077 | − | 1.43600i | −0.898763 | − | 0.438435i | \(-0.855533\pi\) |
0.0696859 | − | 0.997569i | \(-0.477800\pi\) | |||||||
\(30\) | −2.34752 | − | 0.709403i | −0.428597 | − | 0.129519i | ||||
\(31\) | 5.72460 | + | 3.30510i | 1.02817 | + | 0.593614i | 0.916460 | − | 0.400127i | \(-0.131034\pi\) |
0.111709 | + | 0.993741i | \(0.464367\pi\) | |||||||
\(32\) | −0.0230347 | − | 0.0132991i | −0.00407200 | − | 0.00235097i | ||||
\(33\) | −6.24926 | + | 1.46409i | −1.08786 | + | 0.254866i | ||||
\(34\) | −5.70047 | + | 3.29117i | −0.977622 | + | 0.564430i | ||||
\(35\) | −0.0114647 | −0.00193789 | ||||||||
\(36\) | 0.0126379 | − | 0.00626559i | 0.00210632 | − | 0.00104427i | ||||
\(37\) | 4.52388i | 0.743721i | 0.928289 | + | 0.371860i | \(0.121280\pi\) | ||||
−0.928289 | + | 0.371860i | \(0.878720\pi\) | |||||||
\(38\) | −4.27608 | − | 7.40639i | −0.693672 | − | 1.20147i | ||||
\(39\) | −5.98751 | + | 1.77475i | −0.958769 | + | 0.284188i | ||||
\(40\) | 1.41255 | − | 2.44660i | 0.223343 | − | 0.386842i | ||||
\(41\) | −3.46246 | − | 1.99905i | −0.540746 | − | 0.312200i | 0.204635 | − | 0.978838i | \(-0.434399\pi\) |
−0.745381 | + | 0.666639i | \(0.767732\pi\) | |||||||
\(42\) | 0.0205003 | − | 0.0192414i | 0.00316326 | − | 0.00296901i | ||||
\(43\) | −0.571044 | − | 0.989078i | −0.0870834 | − | 0.150833i | 0.819194 | − | 0.573517i | \(-0.194421\pi\) |
−0.906277 | + | 0.422684i | \(0.861088\pi\) | |||||||
\(44\) | 0.0174241i | 0.00262677i | ||||||||
\(45\) | 1.33255 | + | 2.68781i | 0.198645 | + | 0.400674i | ||||
\(46\) | − | 6.85474i | − | 1.01068i | ||||||
\(47\) | 8.97044 | − | 5.17908i | 1.30847 | − | 0.755447i | 0.326631 | − | 0.945152i | \(-0.394086\pi\) |
0.981841 | + | 0.189705i | \(0.0607531\pi\) | |||||||
\(48\) | 1.58407 | + | 6.76137i | 0.228641 | + | 0.975920i | ||||
\(49\) | −3.49993 | + | 6.06206i | −0.499991 | + | 0.866009i | ||||
\(50\) | −1.22618 | − | 0.707937i | −0.173409 | − | 0.100117i | ||||
\(51\) | 7.70796 | + | 2.32929i | 1.07933 | + | 0.326165i | ||||
\(52\) | 0.000983196 | 0.0169246i | 0.000136345 | 0.00234702i | ||||||
\(53\) | 2.37762 | 0.326591 | 0.163295 | − | 0.986577i | \(-0.447788\pi\) | ||||
0.163295 | + | 0.986577i | \(0.447788\pi\) | |||||||
\(54\) | −6.89374 | − | 2.56968i | −0.938119 | − | 0.349690i | ||||
\(55\) | −3.70571 | −0.499678 | ||||||||
\(56\) | 0.0161944 | + | 0.0280496i | 0.00216407 | + | 0.00374828i | ||||
\(57\) | −3.02635 | + | 10.0146i | −0.400850 | + | 1.32647i | ||||
\(58\) | 10.9491 | + | 6.32148i | 1.43769 | + | 0.830051i | ||||
\(59\) | −1.19273 | − | 0.688625i | −0.155281 | − | 0.0896513i | 0.420346 | − | 0.907364i | \(-0.361909\pi\) |
−0.575627 | + | 0.817712i | \(0.695242\pi\) | |||||||
\(60\) | 0.00792930 | − | 0.00185770i | 0.00102367 | − | 0.000239828i | ||||
\(61\) | −4.33838 | − | 7.51430i | −0.555473 | − | 0.962108i | −0.997867 | − | 0.0652867i | \(-0.979204\pi\) |
0.442393 | − | 0.896821i | \(-0.354130\pi\) | |||||||
\(62\) | −9.35922 | −1.18862 | ||||||||
\(63\) | −0.0343252 | − | 0.00217690i | −0.00432457 | − | 0.000274264i | ||||
\(64\) | −7.98110 | −0.997638 | ||||||||
\(65\) | −3.59948 | + | 0.209104i | −0.446461 | + | 0.0259362i | ||||
\(66\) | 6.62626 | − | 6.21933i | 0.815636 | − | 0.765547i | ||||
\(67\) | 8.37253 | + | 4.83388i | 1.02287 | + | 0.590553i | 0.914933 | − | 0.403605i | \(-0.132243\pi\) |
0.107934 | + | 0.994158i | \(0.465576\pi\) | |||||||
\(68\) | 0.0109296 | − | 0.0189305i | 0.00132540 | − | 0.00229567i | ||||
\(69\) | −6.11418 | + | 5.73870i | −0.736061 | + | 0.690859i | ||||
\(70\) | 0.0140578 | − | 0.00811630i | 0.00168023 | − | 0.000970083i | ||||
\(71\) | − | 5.79546i | − | 0.687794i | −0.939007 | − | 0.343897i | \(-0.888253\pi\) | ||
0.939007 | − | 0.343897i | \(-0.111747\pi\) | |||||||
\(72\) | 4.69370 | − | 7.05688i | 0.553158 | − | 0.831661i | ||||
\(73\) | 1.97265i | 0.230882i | 0.993314 | + | 0.115441i | \(0.0368280\pi\) | ||||
−0.993314 | + | 0.115441i | \(0.963172\pi\) | |||||||
\(74\) | −3.20262 | − | 5.54710i | −0.372297 | − | 0.644838i | ||||
\(75\) | 0.395091 | + | 1.68639i | 0.0456212 | + | 0.194727i | ||||
\(76\) | 0.0245957 | + | 0.0142003i | 0.00282132 | + | 0.00162889i | ||||
\(77\) | 0.0212424 | − | 0.0367930i | 0.00242080 | − | 0.00419295i | ||||
\(78\) | 6.08537 | − | 6.41496i | 0.689032 | − | 0.726351i | ||||
\(79\) | −0.376913 | − | 0.652832i | −0.0424060 | − | 0.0734494i | 0.844043 | − | 0.536275i | \(-0.180169\pi\) |
−0.886449 | + | 0.462826i | \(0.846836\pi\) | |||||||
\(80\) | 4.00938i | 0.448263i | ||||||||
\(81\) | 3.47929 | + | 8.30027i | 0.386588 | + | 0.922253i | ||||
\(82\) | 5.66082 | 0.625133 | ||||||||
\(83\) | −7.33925 | + | 4.23732i | −0.805587 | + | 0.465106i | −0.845421 | − | 0.534100i | \(-0.820650\pi\) |
0.0398338 | + | 0.999206i | \(0.487317\pi\) | |||||||
\(84\) | −2.70090e−5 | 0 | 8.93769e-5i | −2.94693e−6 | 0 | 9.75182e-6i | ||||
\(85\) | 4.02611 | + | 2.32447i | 0.436693 | + | 0.252125i | ||||
\(86\) | 1.40041 | + | 0.808527i | 0.151010 | + | 0.0871858i | ||||
\(87\) | −3.52794 | − | 15.0585i | −0.378235 | − | 1.61444i | ||||
\(88\) | 5.23449 | + | 9.06640i | 0.557998 | + | 0.966481i | ||||
\(89\) | − | 3.56933i | − | 0.378348i | −0.981944 | − | 0.189174i | \(-0.939419\pi\) | ||
0.981944 | − | 0.189174i | \(-0.0605811\pi\) | |||||||
\(90\) | −3.53675 | − | 2.35238i | −0.372807 | − | 0.247963i | ||||
\(91\) | 0.0185574 | − | 0.0369370i | 0.00194534 | − | 0.00387205i | ||||
\(92\) | 0.0113819 | + | 0.0197140i | 0.00118664 | + | 0.00205533i | ||||
\(93\) | 7.83542 | + | 8.34808i | 0.812495 | + | 0.865656i | ||||
\(94\) | −7.33293 | + | 12.7010i | −0.756334 | + | 1.31001i | ||||
\(95\) | −3.02010 | + | 5.23096i | −0.309855 | + | 0.536685i | ||||
\(96\) | −0.0315282 | − | 0.0335911i | −0.00321783 | − | 0.00342837i | ||||
\(97\) | −0.00405446 | + | 0.00234084i | −0.000411668 | + | 0.000237676i | −0.500206 | − | 0.865907i | \(-0.666742\pi\) |
0.499794 | + | 0.866144i | \(0.333409\pi\) | |||||||
\(98\) | − | 9.91094i | − | 1.00116i | ||||||
\(99\) | −11.0948 | − | 0.703634i | −1.11507 | − | 0.0707179i | ||||
\(100\) | 0.00470195 | 0.000470195 | ||||||||
\(101\) | −1.00162 | − | 1.73486i | −0.0996649 | − | 0.172625i | 0.811881 | − | 0.583823i | \(-0.198444\pi\) |
−0.911546 | + | 0.411198i | \(0.865110\pi\) | |||||||
\(102\) | −11.1004 | + | 2.60062i | −1.09910 | + | 0.257500i | ||||
\(103\) | 8.12311 | − | 14.0696i | 0.800394 | − | 1.38632i | −0.118963 | − | 0.992899i | \(-0.537957\pi\) |
0.919357 | − | 0.393424i | \(-0.128710\pi\) | |||||||
\(104\) | 5.59603 | + | 8.51113i | 0.548736 | + | 0.834585i | ||||
\(105\) | −0.0190085 | − | 0.00574422i | −0.00185504 | − | 0.000560579i | ||||
\(106\) | −2.91540 | + | 1.68320i | −0.283168 | + | 0.163487i | ||||
\(107\) | −2.25946 | −0.218430 | −0.109215 | − | 0.994018i | \(-0.534834\pi\) | ||||
−0.109215 | + | 0.994018i | \(0.534834\pi\) | |||||||
\(108\) | 0.0240930 | − | 0.00405631i | 0.00231835 | − | 0.000390319i | ||||
\(109\) | 8.34833i | 0.799625i | 0.916597 | + | 0.399812i | \(0.130925\pi\) | ||||
−0.916597 | + | 0.399812i | \(0.869075\pi\) | |||||||
\(110\) | 4.54388 | − | 2.62341i | 0.433242 | − | 0.250132i | ||||
\(111\) | −2.26662 | + | 7.50059i | −0.215138 | + | 0.711924i | ||||
\(112\) | −0.0398081 | − | 0.0229832i | −0.00376151 | − | 0.00217171i | ||||
\(113\) | 4.45996 | − | 7.72487i | 0.419558 | − | 0.726695i | −0.576337 | − | 0.817212i | \(-0.695519\pi\) |
0.995895 | + | 0.0905169i | \(0.0288519\pi\) | |||||||
\(114\) | −3.37888 | − | 14.4223i | −0.316461 | − | 1.35077i | ||||
\(115\) | −4.19273 | + | 2.42067i | −0.390974 | + | 0.225729i | ||||
\(116\) | −0.0419857 | −0.00389828 | ||||||||
\(117\) | −10.8165 | − | 0.0574092i | −0.999986 | − | 0.00530749i | ||||
\(118\) | 1.95001 | 0.179513 | ||||||||
\(119\) | −0.0461582 | + | 0.0266494i | −0.00423131 | + | 0.00244295i | ||||
\(120\) | 3.56783 | − | 3.34873i | 0.325697 | − | 0.305696i | ||||
\(121\) | 1.36614 | − | 2.36623i | 0.124195 | − | 0.215112i | ||||
\(122\) | 10.6393 | + | 6.14261i | 0.963238 | + | 0.556126i | ||||
\(123\) | −4.73917 | − | 5.04924i | −0.427316 | − | 0.455275i | ||||
\(124\) | 0.0269168 | − | 0.0155404i | 0.00241720 | − | 0.00139557i | ||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | 0.0436301 | − | 0.0216308i | 0.00388688 | − | 0.00192702i | ||||
\(127\) | 18.7915 | 1.66748 | 0.833739 | − | 0.552159i | \(-0.186196\pi\) | ||||
0.833739 | + | 0.552159i | \(0.186196\pi\) | |||||||
\(128\) | 9.83237 | − | 5.67672i | 0.869067 | − | 0.501756i | ||||
\(129\) | −0.451229 | − | 1.92600i | −0.0397285 | − | 0.169575i | ||||
\(130\) | 4.26559 | − | 2.80461i | 0.374117 | − | 0.245980i | ||||
\(131\) | −1.48159 | + | 2.56619i | −0.129447 | + | 0.224209i | −0.923463 | − | 0.383688i | \(-0.874654\pi\) |
0.794015 | + | 0.607898i | \(0.207987\pi\) | |||||||
\(132\) | −0.00873006 | + | 0.0288891i | −0.000759854 | + | 0.00251447i | ||||
\(133\) | −0.0346245 | − | 0.0599715i | −0.00300233 | − | 0.00520019i | ||||
\(134\) | −13.6884 | −1.18249 | ||||||||
\(135\) | 0.862688 | + | 5.12404i | 0.0742484 | + | 0.441007i | ||||
\(136\) | − | 13.1337i | − | 1.12621i | ||||||
\(137\) | 17.0849 | − | 9.86395i | 1.45966 | − | 0.842734i | 0.460664 | − | 0.887574i | \(-0.347611\pi\) |
0.998994 | + | 0.0448403i | \(0.0142779\pi\) | |||||||
\(138\) | 3.43447 | − | 11.3652i | 0.292361 | − | 0.967467i | ||||
\(139\) | 9.05260 | − | 15.6796i | 0.767831 | − | 1.32992i | −0.170906 | − | 0.985287i | \(-0.554669\pi\) |
0.938737 | − | 0.344635i | \(-0.111997\pi\) | |||||||
\(140\) | −2.69532e−5 | 0 | 4.66844e-5i | −2.27796e−6 | 0 | 3.94555e-6i | ||||
\(141\) | 17.4679 | − | 4.09242i | 1.47106 | − | 0.344644i | ||||
\(142\) | 4.10282 | + | 7.10630i | 0.344301 | + | 0.596347i | ||||
\(143\) | 5.99825 | − | 11.9390i | 0.501599 | − | 0.998393i | ||||
\(144\) | −0.761294 | + | 12.0040i | −0.0634412 | + | 1.00034i | ||||
\(145\) | − | 8.92943i | − | 0.741549i | ||||||
\(146\) | −1.39651 | − | 2.41883i | −0.115576 | − | 0.200184i | ||||
\(147\) | −8.84020 | + | 8.29731i | −0.729127 | + | 0.684351i | ||||
\(148\) | 0.0184213 | + | 0.0106355i | 0.00151422 | + | 0.000874234i | ||||
\(149\) | −10.4375 | − | 6.02608i | −0.855071 | − | 0.493676i | 0.00728749 | − | 0.999973i | \(-0.497680\pi\) |
−0.862359 | + | 0.506298i | \(0.831014\pi\) | |||||||
\(150\) | −1.67831 | − | 1.78812i | −0.137034 | − | 0.145999i | ||||
\(151\) | 16.7981 | − | 9.69837i | 1.36701 | − | 0.789242i | 0.376463 | − | 0.926432i | \(-0.377140\pi\) |
0.990545 | + | 0.137190i | \(0.0438069\pi\) | |||||||
\(152\) | 17.0641 | 1.38408 | ||||||||
\(153\) | 11.6127 | + | 7.72391i | 0.938834 | + | 0.624441i | ||||
\(154\) | 0.0601533i | 0.00484729i | ||||||||
\(155\) | 3.30510 | + | 5.72460i | 0.265472 | + | 0.459811i | ||||
\(156\) | −0.00684967 | + | 0.0285536i | −0.000548412 | + | 0.00228611i | ||||
\(157\) | 8.35313 | − | 14.4680i | 0.666652 | − | 1.15468i | −0.312182 | − | 0.950022i | \(-0.601060\pi\) |
0.978834 | − | 0.204653i | \(-0.0656068\pi\) | |||||||
\(158\) | 0.924329 | + | 0.533661i | 0.0735356 | + | 0.0424558i | ||||
\(159\) | 3.94209 | + | 1.19127i | 0.312628 | + | 0.0944738i | ||||
\(160\) | −0.0132991 | − | 0.0230347i | −0.00105139 | − | 0.00182105i | ||||
\(161\) | − | 0.0555046i | − | 0.00437438i | ||||||
\(162\) | −10.1423 | − | 7.71454i | −0.796856 | − | 0.606112i | ||||
\(163\) | − | 7.00872i | − | 0.548965i | −0.961592 | − | 0.274483i | \(-0.911493\pi\) | ||
0.961592 | − | 0.274483i | \(-0.0885065\pi\) | |||||||
\(164\) | −0.0162803 | + | 0.00939944i | −0.00127128 | + | 0.000733973i | ||||
\(165\) | −6.14407 | − | 1.85669i | −0.478315 | − | 0.144543i | ||||
\(166\) | 5.99951 | − | 10.3915i | 0.465652 | − | 0.806534i | ||||
\(167\) | 15.4948 | + | 8.94595i | 1.19903 | + | 0.692259i | 0.960338 | − | 0.278838i | \(-0.0899491\pi\) |
0.238689 | + | 0.971096i | \(0.423282\pi\) | |||||||
\(168\) | 0.0127966 | + | 0.0546202i | 0.000987275 | + | 0.00421404i | ||||
\(169\) | 5.15262 | − | 11.9353i | 0.396355 | − | 0.918097i | ||||
\(170\) | −6.58233 | −0.504842 | ||||||||
\(171\) | −10.0354 | + | 15.0880i | −0.767424 | + | 1.15381i | ||||
\(172\) | −0.00537004 | −0.000409462 | ||||||||
\(173\) | 12.9562 | + | 22.4409i | 0.985045 | + | 1.70615i | 0.641737 | + | 0.766925i | \(0.278214\pi\) |
0.343308 | + | 0.939223i | \(0.388452\pi\) | |||||||
\(174\) | 14.9864 | + | 15.9669i | 1.13611 | + | 1.21045i | ||||
\(175\) | −0.00992873 | − | 0.00573236i | −0.000750542 | − | 0.000433325i | ||||
\(176\) | −12.8671 | − | 7.42880i | −0.969892 | − | 0.559967i | ||||
\(177\) | −1.63253 | − | 1.73934i | −0.122708 | − | 0.130737i | ||||
\(178\) | 2.52686 | + | 4.37665i | 0.189396 | + | 0.328044i | ||||
\(179\) | 3.63380 | 0.271603 | 0.135801 | − | 0.990736i | \(-0.456639\pi\) | ||||
0.135801 | + | 0.990736i | \(0.456639\pi\) | |||||||
\(180\) | 0.0140776 | 0.000892797i | 0.00104928 | 6.65452e-5i | ||||||
\(181\) | −9.03354 | −0.671458 | −0.335729 | − | 0.941959i | \(-0.608983\pi\) | ||||
−0.335729 | + | 0.941959i | \(0.608983\pi\) | |||||||
\(182\) | 0.00339430 | + | 0.0584290i | 0.000251602 | + | 0.00433104i | ||||
\(183\) | −3.42811 | − | 14.6324i | −0.253413 | − | 1.08166i | ||||
\(184\) | 11.8448 | + | 6.83863i | 0.873214 | + | 0.504150i | ||||
\(185\) | −2.26194 | + | 3.91779i | −0.166301 | + | 0.288042i | ||||
\(186\) | −15.5176 | − | 4.68930i | −1.13780 | − | 0.343836i | ||||
\(187\) | −14.9196 | + | 8.61383i | −1.09103 | + | 0.629905i | ||||
\(188\) | − | 0.0487035i | − | 0.00355207i | ||||||
\(189\) | −0.0558204 | − | 0.0208074i | −0.00406034 | − | 0.00151352i | ||||
\(190\) | − | 8.55216i | − | 0.620439i | ||||||
\(191\) | 10.5689 | + | 18.3058i | 0.764737 | + | 1.32456i | 0.940385 | + | 0.340111i | \(0.110465\pi\) |
−0.175648 | + | 0.984453i | \(0.556202\pi\) | |||||||
\(192\) | −13.2327 | − | 3.99881i | −0.954986 | − | 0.288589i | ||||
\(193\) | −0.210790 | − | 0.121700i | −0.0151730 | − | 0.00876015i | 0.492394 | − | 0.870372i | \(-0.336122\pi\) |
−0.507567 | + | 0.861612i | \(0.669455\pi\) | |||||||
\(194\) | 0.00331434 | − | 0.00574060i | 0.000237956 | − | 0.000412151i | ||||
\(195\) | −6.07271 | − | 1.45677i | −0.434876 | − | 0.104322i | ||||
\(196\) | 0.0164565 | + | 0.0285035i | 0.00117546 | + | 0.00203596i | ||||
\(197\) | − | 18.3729i | − | 1.30901i | −0.756057 | − | 0.654506i | \(-0.772877\pi\) | ||
0.756057 | − | 0.654506i | \(-0.227123\pi\) | |||||||
\(198\) | 14.1024 | − | 6.99167i | 1.00222 | − | 0.496876i | ||||
\(199\) | −13.3674 | −0.947587 | −0.473793 | − | 0.880636i | \(-0.657116\pi\) | ||||
−0.473793 | + | 0.880636i | \(0.657116\pi\) | |||||||
\(200\) | 2.44660 | − | 1.41255i | 0.173001 | − | 0.0998821i | ||||
\(201\) | 11.4597 | + | 12.2095i | 0.808306 | + | 0.861192i | ||||
\(202\) | 2.45634 | + | 1.41817i | 0.172828 | + | 0.0997820i | ||||
\(203\) | 0.0886580 | + | 0.0511867i | 0.00622257 | + | 0.00359260i | ||||
\(204\) | 0.0276061 | − | 0.0259108i | 0.00193281 | − | 0.00181412i | ||||
\(205\) | −1.99905 | − | 3.46246i | −0.139620 | − | 0.241829i | ||||
\(206\) | 23.0026i | 1.60267i | ||||||||
\(207\) | −13.0126 | + | 6.45135i | −0.904438 | + | 0.448400i | ||||
\(208\) | −12.9174 | − | 6.48979i | −0.895661 | − | 0.449986i | ||||
\(209\) | −11.1916 | − | 19.3844i | −0.774139 | − | 1.34085i | ||||
\(210\) | 0.0273745 | − | 0.00641335i | 0.00188902 | − | 0.000442563i | ||||
\(211\) | −8.07314 | + | 13.9831i | −0.555778 | + | 0.962635i | 0.442065 | + | 0.896983i | \(0.354246\pi\) |
−0.997843 | + | 0.0656523i | \(0.979087\pi\) | |||||||
\(212\) | 0.00558972 | − | 0.00968167i | 0.000383903 | − | 0.000664940i | ||||
\(213\) | 2.90373 | − | 9.60887i | 0.198960 | − | 0.658389i | ||||
\(214\) | 2.77051 | − | 1.59956i | 0.189388 | − | 0.109343i | ||||
\(215\) | − | 1.14209i | − | 0.0778898i | ||||||
\(216\) | 11.3179 | − | 9.34860i | 0.770085 | − | 0.636091i | ||||
\(217\) | −0.0757841 | −0.00514456 | ||||||||
\(218\) | −5.91010 | − | 10.2366i | −0.400282 | − | 0.693309i | ||||
\(219\) | −0.988368 | + | 3.27066i | −0.0667877 | + | 0.221011i | ||||
\(220\) | −0.00871203 | + | 0.0150897i | −0.000587365 | + | 0.00101735i | ||||
\(221\) | −14.0058 | + | 9.20878i | −0.942135 | + | 0.619450i | ||||
\(222\) | −2.53065 | − | 10.8017i | −0.169846 | − | 0.724964i | ||||
\(223\) | −19.0098 | + | 10.9753i | −1.27299 | + | 0.734959i | −0.975549 | − | 0.219782i | \(-0.929465\pi\) |
−0.297438 | + | 0.954741i | \(0.596132\pi\) | |||||||
\(224\) | 0.000304940 | 0 | 2.03747e−5 | 0 | ||||||
\(225\) | −0.189878 | + | 2.99399i | −0.0126586 | + | 0.199599i | ||||
\(226\) | 12.6295i | 0.840101i | ||||||||
\(227\) | 0.780807 | − | 0.450799i | 0.0518240 | − | 0.0299206i | −0.473864 | − | 0.880598i | \(-0.657141\pi\) |
0.525688 | + | 0.850677i | \(0.323808\pi\) | |||||||
\(228\) | 0.0336648 | + | 0.0358675i | 0.00222951 | + | 0.00237538i | ||||
\(229\) | −1.49691 | − | 0.864240i | −0.0989184 | − | 0.0571106i | 0.449725 | − | 0.893167i | \(-0.351522\pi\) |
−0.548643 | + | 0.836057i | \(0.684855\pi\) | |||||||
\(230\) | 3.42737 | − | 5.93638i | 0.225994 | − | 0.391433i | ||||
\(231\) | 0.0536546 | − | 0.0503596i | 0.00353021 | − | 0.00331342i | ||||
\(232\) | −21.8468 | + | 12.6132i | −1.43431 | + | 0.828100i | ||||
\(233\) | 18.1858 | 1.19139 | 0.595696 | − | 0.803210i | \(-0.296876\pi\) | ||||
0.595696 | + | 0.803210i | \(0.296876\pi\) | |||||||
\(234\) | 13.3037 | − | 7.58701i | 0.869687 | − | 0.495979i | ||||
\(235\) | 10.3582 | 0.675692 | ||||||||
\(236\) | −0.00560817 | + | 0.00323788i | −0.000365061 | + | 0.000210768i | ||||
\(237\) | −0.297830 | − | 1.27124i | −0.0193461 | − | 0.0825761i | ||||
\(238\) | 0.0377323 | − | 0.0653542i | 0.00244582 | − | 0.00423628i | ||||
\(239\) | 12.8933 | + | 7.44396i | 0.833999 | + | 0.481510i | 0.855220 | − | 0.518265i | \(-0.173422\pi\) |
−0.0212209 | + | 0.999775i | \(0.506755\pi\) | |||||||
\(240\) | −2.00884 | + | 6.64755i | −0.129670 | + | 0.429098i | ||||
\(241\) | −8.04501 | + | 4.64479i | −0.518225 | + | 0.299197i | −0.736208 | − | 0.676755i | \(-0.763385\pi\) |
0.217983 | + | 0.975952i | \(0.430052\pi\) | |||||||
\(242\) | 3.86858i | 0.248682i | ||||||||
\(243\) | 1.60993 | + | 15.5051i | 0.103277 | + | 0.994653i | ||||
\(244\) | −0.0407977 | −0.00261181 | ||||||||
\(245\) | −6.06206 | + | 3.49993i | −0.387291 | + | 0.223603i | ||||
\(246\) | 9.38564 | + | 2.83627i | 0.598406 | + | 0.180834i | ||||
\(247\) | −11.9646 | − | 18.1972i | −0.761289 | − | 1.15786i | ||||
\(248\) | 9.33722 | − | 16.1725i | 0.592914 | − | 1.02696i | ||||
\(249\) | −14.2915 | + | 3.34825i | −0.905688 | + | 0.212187i | ||||
\(250\) | −0.707937 | − | 1.22618i | −0.0447739 | − | 0.0775507i | ||||
\(251\) | −3.40713 | −0.215056 | −0.107528 | − | 0.994202i | \(-0.534294\pi\) | ||||
−0.107528 | + | 0.994202i | \(0.534294\pi\) | |||||||
\(252\) | −8.95619e−5 | 0 | 0.000134654i | −5.64187e−6 | 0 | 8.48243e-6i | ||||
\(253\) | − | 17.9406i | − | 1.12792i | ||||||
\(254\) | −23.0419 | + | 13.3032i | −1.44577 | + | 0.834718i | ||||
\(255\) | 5.51064 | + | 5.87120i | 0.345090 | + | 0.367669i | ||||
\(256\) | −0.0564231 | + | 0.0977276i | −0.00352644 | + | 0.00610797i | ||||
\(257\) | −15.0941 | + | 26.1437i | −0.941543 | + | 1.63080i | −0.179013 | + | 0.983847i | \(0.557290\pi\) |
−0.762530 | + | 0.646953i | \(0.776043\pi\) | |||||||
\(258\) | 1.91678 | + | 2.04219i | 0.119334 | + | 0.127141i | ||||
\(259\) | −0.0259325 | − | 0.0449164i | −0.00161137 | − | 0.00279097i | ||||
\(260\) | −0.00761082 | + | 0.0151487i | −0.000472003 | + | 0.000939483i | ||||
\(261\) | 1.69551 | − | 26.7346i | 0.104949 | − | 1.65483i | ||||
\(262\) | − | 4.19550i | − | 0.259199i | ||||||
\(263\) | −9.48439 | − | 16.4275i | −0.584833 | − | 1.01296i | −0.994896 | − | 0.100903i | \(-0.967827\pi\) |
0.410064 | − | 0.912057i | \(-0.365507\pi\) | |||||||
\(264\) | 4.13620 | + | 17.6547i | 0.254565 | + | 1.08657i | ||||
\(265\) | 2.05908 | + | 1.18881i | 0.126488 | + | 0.0730279i | ||||
\(266\) | 0.0849121 | + | 0.0490240i | 0.00520630 | + | 0.00300586i | ||||
\(267\) | 1.78836 | − | 5.91795i | 0.109446 | − | 0.362173i | ||||
\(268\) | 0.0393672 | − | 0.0227287i | 0.00240473 | − | 0.00138837i | ||||
\(269\) | 3.45377 | 0.210580 | 0.105290 | − | 0.994442i | \(-0.466423\pi\) | ||||
0.105290 | + | 0.994442i | \(0.466423\pi\) | |||||||
\(270\) | −4.68531 | − | 5.67228i | −0.285139 | − | 0.345204i | ||||
\(271\) | − | 13.5998i | − | 0.826131i | −0.910701 | − | 0.413065i | \(-0.864458\pi\) | ||
0.910701 | − | 0.413065i | \(-0.135542\pi\) | |||||||
\(272\) | 9.31971 | + | 16.1422i | 0.565090 | + | 0.978765i | ||||
\(273\) | 0.0492748 | − | 0.0519436i | 0.00298225 | − | 0.00314377i | ||||
\(274\) | −13.9661 | + | 24.1900i | −0.843724 | + | 1.46137i | ||||
\(275\) | −3.20924 | − | 1.85286i | −0.193524 | − | 0.111731i | ||||
\(276\) | 0.00899376 | + | 0.0383885i | 0.000541360 | + | 0.00231072i | ||||
\(277\) | −3.82426 | − | 6.62382i | −0.229778 | − | 0.397987i | 0.727964 | − | 0.685615i | \(-0.240467\pi\) |
−0.957742 | + | 0.287628i | \(0.907133\pi\) | |||||||
\(278\) | 25.6347i | 1.53747i | ||||||||
\(279\) | 8.80845 | + | 17.7669i | 0.527348 | + | 1.06368i | ||||
\(280\) | 0.0323889i | 0.00193561i | ||||||||
\(281\) | −19.5232 | + | 11.2717i | −1.16466 | + | 0.672414i | −0.952415 | − | 0.304803i | \(-0.901409\pi\) |
−0.212240 | + | 0.977218i | \(0.568076\pi\) | |||||||
\(282\) | −18.5217 | + | 17.3842i | −1.10295 | + | 1.03522i | ||||
\(283\) | 0.221480 | − | 0.383614i | 0.0131656 | − | 0.0228035i | −0.859368 | − | 0.511358i | \(-0.829142\pi\) |
0.872533 | + | 0.488555i | \(0.162476\pi\) | |||||||
\(284\) | −0.0235991 | − | 0.0136250i | −0.00140035 | − | 0.000808493i | ||||
\(285\) | −7.62822 | + | 7.15976i | −0.451857 | + | 0.424108i | ||||
\(286\) | 1.09713 | + | 18.8858i | 0.0648747 | + | 1.11674i | ||||
\(287\) | 0.0458371 | 0.00270568 | ||||||||
\(288\) | −0.0354435 | − | 0.0714907i | −0.00208853 | − | 0.00421263i | ||||
\(289\) | 4.61272 | 0.271337 | ||||||||
\(290\) | 6.32148 | + | 10.9491i | 0.371210 | + | 0.642955i | ||||
\(291\) | −0.00789513 | + | 0.00184969i | −0.000462821 | + | 0.000108431i | ||||
\(292\) | 0.00803265 | + | 0.00463765i | 0.000470075 | + | 0.000271398i | ||||
\(293\) | −0.131806 | − | 0.0760981i | −0.00770018 | − | 0.00444570i | 0.496145 | − | 0.868240i | \(-0.334748\pi\) |
−0.503845 | + | 0.863794i | \(0.668082\pi\) | |||||||
\(294\) | 4.96573 | − | 16.4323i | 0.289607 | − | 0.958353i | ||||
\(295\) | −0.688625 | − | 1.19273i | −0.0400933 | − | 0.0694436i | ||||
\(296\) | 12.7804 | 0.742844 | ||||||||
\(297\) | −18.0427 | − | 6.72553i | −1.04694 | − | 0.390255i | ||||
\(298\) | 17.0643 | 0.988511 | ||||||||
\(299\) | −1.01235 | − | 17.4263i | −0.0585454 | − | 1.00779i | ||||
\(300\) | 0.00779583 | + | 0.00235584i | 0.000450092 | + | 0.000136014i | ||||
\(301\) | 0.0113395 | + | 0.00654686i | 0.000653597 | + | 0.000377355i | ||||
\(302\) | −13.7317 | + | 23.7840i | −0.790169 | + | 1.36861i | ||||
\(303\) | −0.791462 | − | 3.37824i | −0.0454683 | − | 0.194075i | ||||
\(304\) | −20.9729 | + | 12.1087i | −1.20288 | + | 0.694483i | ||||
\(305\) | − | 8.67677i | − | 0.496830i | ||||||
\(306\) | −19.7074 | − | 1.24984i | −1.12660 | − | 0.0714487i | ||||
\(307\) | − | 12.2212i | − | 0.697503i | −0.937215 | − | 0.348751i | \(-0.886606\pi\) | ||
0.937215 | − | 0.348751i | \(-0.113394\pi\) | |||||||
\(308\) | −9.98809e−5 | 0 | 0.000172999i | −5.69124e−6 | 0 | 9.85752e-6i | ||||
\(309\) | 20.5175 | − | 19.2575i | 1.16720 | − | 1.09552i | ||||
\(310\) | −8.10532 | − | 4.67961i | −0.460351 | − | 0.265784i | ||||
\(311\) | 14.5035 | − | 25.1209i | 0.822421 | − | 1.42447i | −0.0814542 | − | 0.996677i | \(-0.525956\pi\) |
0.903875 | − | 0.427797i | \(-0.140710\pi\) | |||||||
\(312\) | 5.01384 | + | 16.9153i | 0.283853 | + | 0.957638i | ||||
\(313\) | 13.4272 | + | 23.2565i | 0.758949 | + | 1.31454i | 0.943387 | + | 0.331693i | \(0.107620\pi\) |
−0.184439 | + | 0.982844i | \(0.559047\pi\) | |||||||
\(314\) | 23.6540i | 1.33487i | ||||||||
\(315\) | −0.0286380 | − | 0.0190478i | −0.00161357 | − | 0.00107322i | ||||
\(316\) | −0.00354445 | −0.000199391 | ||||||||
\(317\) | −26.8476 | + | 15.5005i | −1.50791 | + | 0.870595i | −0.507956 | + | 0.861383i | \(0.669599\pi\) |
−0.999958 | + | 0.00921179i | \(0.997068\pi\) | |||||||
\(318\) | −5.67707 | + | 1.33004i | −0.318354 | + | 0.0745848i | ||||
\(319\) | 28.6567 | + | 16.5449i | 1.60447 | + | 0.926339i | ||||
\(320\) | −6.91184 | − | 3.99055i | −0.386384 | − | 0.223079i | ||||
\(321\) | −3.74619 | − | 1.13207i | −0.209092 | − | 0.0631859i | ||||
\(322\) | 0.0392938 | + | 0.0680589i | 0.00218976 | + | 0.00379277i | ||||
\(323\) | 28.0806i | 1.56244i | ||||||||
\(324\) | 0.0419785 | + | 0.00534604i | 0.00233214 | + | 0.000297002i | ||||
\(325\) | −3.22180 | − | 1.61865i | −0.178713 | − | 0.0897867i | ||||
\(326\) | 4.96173 | + | 8.59397i | 0.274805 | + | 0.475976i | ||||
\(327\) | −4.18280 | + | 13.8415i | −0.231310 | + | 0.765438i | ||||
\(328\) | −5.64751 | + | 9.78177i | −0.311832 | + | 0.540108i | ||||
\(329\) | −0.0593767 | + | 0.102843i | −0.00327354 | + | 0.00566994i | ||||
\(330\) | 8.84818 | − | 2.07297i | 0.487076 | − | 0.114113i | ||||
\(331\) | 25.1339 | − | 14.5110i | 1.38148 | − | 0.797599i | 0.389147 | − | 0.921175i | \(-0.372770\pi\) |
0.992335 | + | 0.123576i | \(0.0394363\pi\) | |||||||
\(332\) | 0.0398473i | 0.00218690i | ||||||||
\(333\) | −7.51611 | + | 11.3003i | −0.411880 | + | 0.619254i | ||||
\(334\) | −25.3327 | −1.38614 | ||||||||
\(335\) | 4.83388 | + | 8.37253i | 0.264103 | + | 0.457440i | ||||
\(336\) | −0.0544864 | − | 0.0580514i | −0.00297248 | − | 0.00316696i | ||||
\(337\) | 8.04981 | − | 13.9427i | 0.438501 | − | 0.759506i | −0.559073 | − | 0.829119i | \(-0.688843\pi\) |
0.997574 | + | 0.0696121i | \(0.0221761\pi\) | |||||||
\(338\) | 2.13136 | + | 18.2826i | 0.115931 | + | 0.994440i | ||||
\(339\) | 11.2650 | − | 10.5732i | 0.611833 | − | 0.574260i | ||||
\(340\) | 0.0189305 | − | 0.0109296i | 0.00102665 | − | 0.000592738i | ||||
\(341\) | −24.4955 | −1.32651 | ||||||||
\(342\) | 1.62387 | − | 25.6050i | 0.0878088 | − | 1.38456i | ||||
\(343\) | − | 0.160504i | − | 0.00866643i | ||||||
\(344\) | −2.79424 | + | 1.61325i | −0.150655 | + | 0.0869808i | ||||
\(345\) | −8.16439 | + | 1.91277i | −0.439556 | + | 0.102980i | ||||
\(346\) | −31.7735 | − | 18.3444i | −1.70815 | − | 0.986202i | ||||
\(347\) | −6.18075 | + | 10.7054i | −0.331800 | + | 0.574694i | −0.982865 | − | 0.184328i | \(-0.940989\pi\) |
0.651065 | + | 0.759022i | \(0.274323\pi\) | |||||||
\(348\) | −0.0696123 | − | 0.0210363i | −0.00373161 | − | 0.00112766i | ||||
\(349\) | 0.966423 | − | 0.557965i | 0.0517314 | − | 0.0298672i | −0.473911 | − | 0.880573i | \(-0.657158\pi\) |
0.525643 | + | 0.850705i | \(0.323825\pi\) | |||||||
\(350\) | 0.0162326 | 0.000867669 | ||||||||
\(351\) | −17.9050 | − | 5.51463i | −0.955698 | − | 0.294349i | ||||
\(352\) | 0.0985651 | 0.00525354 | ||||||||
\(353\) | −13.4303 | + | 7.75398i | −0.714822 | + | 0.412703i | −0.812844 | − | 0.582481i | \(-0.802082\pi\) |
0.0980218 | + | 0.995184i | \(0.468749\pi\) | |||||||
\(354\) | 3.23312 | + | 0.977025i | 0.171839 | + | 0.0519283i | ||||
\(355\) | 2.89773 | − | 5.01901i | 0.153796 | − | 0.266382i | ||||
\(356\) | −0.0145343 | − | 0.00839140i | −0.000770318 | − | 0.000444743i | ||||
\(357\) | −0.0898825 | + | 0.0210579i | −0.00475709 | + | 0.00111450i | ||||
\(358\) | −4.45570 | + | 2.57250i | −0.235491 | + | 0.135961i | ||||
\(359\) | − | 25.6452i | − | 1.35350i | −0.736213 | − | 0.676750i | \(-0.763388\pi\) | ||
0.736213 | − | 0.676750i | \(-0.236612\pi\) | |||||||
\(360\) | 7.59330 | − | 3.76459i | 0.400202 | − | 0.198411i | ||||
\(361\) | −17.4839 | −0.920208 | ||||||||
\(362\) | 11.0768 | − | 6.39518i | 0.582183 | − | 0.336123i | ||||
\(363\) | 3.45063 | − | 3.23872i | 0.181111 | − | 0.169989i | ||||
\(364\) | −0.000106780 | 0 | 0.000162404i | −5.59677e−6 | 0 | 8.51226e-6i | ||||
\(365\) | −0.986326 | + | 1.70837i | −0.0516267 | + | 0.0894200i | ||||
\(366\) | 14.5623 | + | 15.5151i | 0.761185 | + | 0.810988i | ||||
\(367\) | 9.19797 | + | 15.9314i | 0.480130 | + | 0.831610i | 0.999740 | − | 0.0227937i | \(-0.00725608\pi\) |
−0.519610 | + | 0.854404i | \(0.673923\pi\) | |||||||
\(368\) | −19.4108 | −1.01186 | ||||||||
\(369\) | −5.32769 | − | 10.7461i | −0.277348 | − | 0.559421i | ||||
\(370\) | − | 6.40524i | − | 0.332993i | ||||||
\(371\) | −0.0236067 | + | 0.0136293i | −0.00122560 | + | 0.000707601i | ||||
\(372\) | 0.0524143 | − | 0.0122798i | 0.00271756 | − | 0.000636675i | ||||
\(373\) | −7.49714 | + | 12.9854i | −0.388187 | + | 0.672360i | −0.992206 | − | 0.124610i | \(-0.960232\pi\) |
0.604018 | + | 0.796970i | \(0.293565\pi\) | |||||||
\(374\) | 12.1961 | − | 21.1243i | 0.630646 | − | 1.09231i | ||||
\(375\) | −0.501035 | + | 1.65800i | −0.0258733 | + | 0.0856188i | ||||
\(376\) | −14.6314 | − | 25.3423i | −0.754556 | − | 1.30693i | ||||
\(377\) | 28.7688 | + | 14.4536i | 1.48167 | + | 0.744401i | ||||
\(378\) | 0.0831765 | − | 0.0140037i | 0.00427814 | − | 0.000720271i | ||||
\(379\) | 31.4375i | 1.61483i | 0.589981 | + | 0.807417i | \(0.299135\pi\) | ||||
−0.589981 | + | 0.807417i | \(0.700865\pi\) | |||||||
\(380\) | 0.0142003 | + | 0.0245957i | 0.000728462 | + | 0.00126173i | ||||
\(381\) | 31.1563 | + | 9.41521i | 1.59619 | + | 0.482356i | ||||
\(382\) | −25.9188 | − | 14.9642i | −1.32612 | − | 0.765636i | ||||
\(383\) | −23.3236 | − | 13.4659i | −1.19178 | − | 0.688074i | −0.233069 | − | 0.972460i | \(-0.574877\pi\) |
−0.958710 | + | 0.284386i | \(0.908210\pi\) | |||||||
\(384\) | 19.1463 | − | 4.48564i | 0.977056 | − | 0.228907i | ||||
\(385\) | 0.0367930 | − | 0.0212424i | 0.00187515 | − | 0.00108262i | ||||
\(386\) | 0.344624 | 0.0175409 | ||||||||
\(387\) | 0.216858 | − | 3.41940i | 0.0110235 | − | 0.173818i | ||||
\(388\) | 0 | 2.20130e-5i | 0 | 1.11754e-6i | ||||||
\(389\) | 9.70578 | + | 16.8109i | 0.492103 | + | 0.852347i | 0.999959 | − | 0.00909505i | \(-0.00289508\pi\) |
−0.507856 | + | 0.861442i | \(0.669562\pi\) | |||||||
\(390\) | 8.47756 | − | 2.51283i | 0.429278 | − | 0.127242i | ||||
\(391\) | −11.2536 | + | 19.4918i | −0.569118 | + | 0.985742i | ||||
\(392\) | 17.1259 | + | 9.88764i | 0.864988 | + | 0.499401i | ||||
\(393\) | −3.74223 | + | 3.51242i | −0.188771 | + | 0.177178i | ||||
\(394\) | 13.0068 | + | 22.5285i | 0.655275 | + | 1.13497i | ||||
\(395\) | − | 0.753826i | − | 0.0379291i | ||||||
\(396\) | −0.0289489 | + | 0.0435240i | −0.00145474 | + | 0.00218716i | ||||
\(397\) | − | 16.7410i | − | 0.840208i | −0.907476 | − | 0.420104i | \(-0.861994\pi\) | ||
0.907476 | − | 0.420104i | \(-0.138006\pi\) | |||||||
\(398\) | 16.3908 | − | 9.46325i | 0.821598 | − | 0.474350i | ||||
\(399\) | −0.0273597 | − | 0.116781i | −0.00136970 | − | 0.00584635i | ||||
\(400\) | −2.00469 | + | 3.47223i | −0.100235 | + | 0.173611i | ||||
\(401\) | −5.03467 | − | 2.90677i | −0.251420 | − | 0.145157i | 0.368995 | − | 0.929432i | \(-0.379702\pi\) |
−0.620414 | + | 0.784274i | \(0.713035\pi\) | |||||||
\(402\) | −22.6953 | − | 6.85834i | −1.13194 | − | 0.342063i | ||||
\(403\) | −23.7933 | + | 1.38222i | −1.18523 | + | 0.0688533i | ||||
\(404\) | −0.00941913 | −0.000468619 | ||||||||
\(405\) | −1.13699 | + | 8.92789i | −0.0564973 | + | 0.443631i | ||||
\(406\) | −0.144948 | −0.00719364 | ||||||||
\(407\) | −8.38209 | − | 14.5182i | −0.415485 | − | 0.719641i | ||||
\(408\) | 6.58045 | − | 21.7757i | 0.325781 | − | 1.07806i | ||||
\(409\) | −14.1966 | − | 8.19644i | −0.701979 | − | 0.405288i | 0.106105 | − | 0.994355i | \(-0.466162\pi\) |
−0.808084 | + | 0.589067i | \(0.799495\pi\) | |||||||
\(410\) | 4.90241 | + | 2.83041i | 0.242113 | + | 0.139784i | ||||
\(411\) | 33.2689 | − | 7.79432i | 1.64103 | − | 0.384465i | ||||
\(412\) | −0.0381944 | − | 0.0661547i | −0.00188171 | − | 0.00325921i | ||||
\(413\) | 0.0157898 | 0.000776964 | ||||||||
\(414\) | 11.3887 | − | 17.1227i | 0.559723 | − | 0.841532i | ||||
\(415\) | −8.47464 | −0.416004 | ||||||||
\(416\) | 0.0957397 | − | 0.00556178i | 0.00469402 | − | 0.000272689i | ||||
\(417\) | 22.8652 | − | 21.4610i | 1.11971 | − | 1.05095i | ||||
\(418\) | 27.4459 | + | 15.8459i | 1.34242 | + | 0.775049i | ||||
\(419\) | 12.1069 | − | 20.9698i | 0.591462 | − | 1.02444i | −0.402574 | − | 0.915388i | \(-0.631884\pi\) |
0.994036 | − | 0.109055i | \(-0.0347823\pi\) | |||||||
\(420\) | −6.80790e−5 | 0 | 6.38982e-5i | −3.32191e−6 | 0 | 3.11791e-6i | ||||
\(421\) | 27.4941 | − | 15.8737i | 1.33998 | − | 0.773638i | 0.353176 | − | 0.935557i | \(-0.385102\pi\) |
0.986804 | + | 0.161919i | \(0.0517684\pi\) | |||||||
\(422\) | − | 22.8611i | − | 1.11286i | ||||||
\(423\) | 31.0122 | + | 1.96679i | 1.50786 | + | 0.0956286i | ||||
\(424\) | − | 6.71699i | − | 0.326206i | ||||||
\(425\) | 2.32447 | + | 4.02611i | 0.112754 | + | 0.195295i | ||||
\(426\) | 3.24198 | + | 13.8379i | 0.157074 | + | 0.670448i | ||||
\(427\) | 0.0861493 | + | 0.0497383i | 0.00416906 | + | 0.00240701i | ||||
\(428\) | −0.00531193 | + | 0.00920054i | −0.000256762 | + | 0.000444725i | ||||
\(429\) | 15.9270 | − | 16.7896i | 0.768962 | − | 0.810609i | ||||
\(430\) | 0.808527 | + | 1.40041i | 0.0389907 | + | 0.0675338i | ||||
\(431\) | 17.8910i | 0.861777i | 0.902405 | + | 0.430888i | \(0.141800\pi\) | ||||
−0.902405 | + | 0.430888i | \(0.858200\pi\) | |||||||
\(432\) | −7.27666 | + | 19.5212i | −0.350099 | + | 0.939216i | ||||
\(433\) | −25.4679 | −1.22391 | −0.611955 | − | 0.790892i | \(-0.709617\pi\) | ||||
−0.611955 | + | 0.790892i | \(0.709617\pi\) | |||||||
\(434\) | 0.0929252 | − | 0.0536504i | 0.00446055 | − | 0.00257530i | ||||
\(435\) | 4.47396 | − | 14.8050i | 0.214510 | − | 0.709846i | ||||
\(436\) | 0.0339944 | + | 0.0196267i | 0.00162804 | + | 0.000939949i | ||||
\(437\) | −25.3249 | − | 14.6213i | −1.21145 | − | 0.699433i | ||||
\(438\) | −1.10350 | − | 4.71013i | −0.0527273 | − | 0.225059i | ||||
\(439\) | 3.31068 | + | 5.73426i | 0.158010 | + | 0.273681i | 0.934151 | − | 0.356878i | \(-0.116159\pi\) |
−0.776141 | + | 0.630559i | \(0.782825\pi\) | |||||||
\(440\) | 10.4690i | 0.499089i | ||||||||
\(441\) | −18.8143 | + | 9.32770i | −0.895919 | + | 0.444176i | ||||
\(442\) | 10.6545 | − | 21.2069i | 0.506783 | − | 1.00871i | ||||
\(443\) | −8.33283 | − | 14.4329i | −0.395905 | − | 0.685727i | 0.597312 | − | 0.802009i | \(-0.296236\pi\) |
−0.993216 | + | 0.116282i | \(0.962902\pi\) | |||||||
\(444\) | 0.0252137 | + | 0.0268634i | 0.00119659 | + | 0.00127488i | ||||
\(445\) | 1.78466 | − | 3.09113i | 0.0846012 | − | 0.146534i | ||||
\(446\) | 15.5396 | − | 26.9154i | 0.735823 | − | 1.27448i | ||||
\(447\) | −14.2861 | − | 15.2208i | −0.675707 | − | 0.719918i | ||||
\(448\) | 0.0792422 | − | 0.0457505i | 0.00374384 | − | 0.00216151i | ||||
\(449\) | 5.30273i | 0.250251i | 0.992141 | + | 0.125126i | \(0.0399334\pi\) | ||||
−0.992141 | + | 0.125126i | \(0.960067\pi\) | |||||||
\(450\) | −1.88673 | − | 3.80560i | −0.0889412 | − | 0.179398i | ||||
\(451\) | 14.8158 | 0.697650 | ||||||||
\(452\) | −0.0209705 | − | 0.0363219i | −0.000986369 | − | 0.00170844i | ||||
\(453\) | 32.7104 | − | 7.66348i | 1.53687 | − | 0.360062i | ||||
\(454\) | −0.638275 | + | 1.10553i | −0.0299557 | + | 0.0518849i | ||||
\(455\) | 0.0345396 | − | 0.0227097i | 0.00161924 | − | 0.00106464i | ||||
\(456\) | 28.2923 | + | 8.54971i | 1.32491 | + | 0.400377i | ||||
\(457\) | 29.4541 | − | 17.0053i | 1.37780 | − | 0.795476i | 0.385909 | − | 0.922537i | \(-0.373888\pi\) |
0.991895 | + | 0.127061i | \(0.0405544\pi\) | |||||||
\(458\) | 2.44731 | 0.114355 | ||||||||
\(459\) | 15.3840 | + | 18.6246i | 0.718062 | + | 0.869323i | ||||
\(460\) | 0.0227638i | 0.00106137i | ||||||||
\(461\) | −2.59939 | + | 1.50076i | −0.121066 | + | 0.0698972i | −0.559310 | − | 0.828959i | \(-0.688934\pi\) |
0.438244 | + | 0.898856i | \(0.355600\pi\) | |||||||
\(462\) | −0.0301389 | + | 0.0997342i | −0.00140219 | + | 0.00464005i | ||||
\(463\) | 25.6151 | + | 14.7889i | 1.19044 | + | 0.687298i | 0.958405 | − | 0.285411i | \(-0.0921300\pi\) |
0.232030 | + | 0.972709i | \(0.425463\pi\) | |||||||
\(464\) | 17.9008 | − | 31.0050i | 0.831022 | − | 1.43937i | ||||
\(465\) | 2.61163 | + | 11.1474i | 0.121112 | + | 0.516947i | ||||
\(466\) | −22.2991 | + | 12.8744i | −1.03299 | + | 0.596396i | ||||
\(467\) | 9.39049 | 0.434540 | 0.217270 | − | 0.976112i | \(-0.430285\pi\) | ||||
0.217270 | + | 0.976112i | \(0.430285\pi\) | |||||||
\(468\) | −0.0256631 | + | 0.0439099i | −0.00118628 | + | 0.00202974i | ||||
\(469\) | −0.110838 | −0.00511803 | ||||||||
\(470\) | −12.7010 | + | 7.33293i | −0.585854 | + | 0.338243i | ||||
\(471\) | 21.0985 | − | 19.8028i | 0.972167 | − | 0.912465i | ||||
\(472\) | −1.94543 | + | 3.36958i | −0.0895456 | + | 0.155098i | ||||
\(473\) | 3.66524 | + | 2.11612i | 0.168528 | + | 0.0972995i | ||||
\(474\) | 1.26515 | + | 1.34793i | 0.0581104 | + | 0.0619125i | ||||
\(475\) | −5.23096 | + | 3.02010i | −0.240013 | + | 0.138572i | ||||
\(476\) | 0 | 0.000250608i | 0 | 1.14866e-5i | ||||||
\(477\) | 5.93912 | + | 3.95025i | 0.271933 | + | 0.180869i | ||||
\(478\) | −21.0794 | −0.964151 | ||||||||
\(479\) | −4.16324 | + | 2.40365i | −0.190223 | + | 0.109825i | −0.592087 | − | 0.805874i | \(-0.701696\pi\) |
0.401864 | + | 0.915699i | \(0.368363\pi\) | |||||||
\(480\) | −0.0105087 | − | 0.0448548i | −0.000479654 | − | 0.00204733i | ||||
\(481\) | −8.96103 | − | 13.6290i | −0.408588 | − | 0.621431i | ||||
\(482\) | 6.57644 | − | 11.3907i | 0.299549 | − | 0.518833i | ||||
\(483\) | 0.0278098 | − | 0.0920267i | 0.00126539 | − | 0.00418736i | ||||
\(484\) | −0.00642354 | − | 0.0111259i | −0.000291979 | − | 0.000505722i | ||||
\(485\) | −0.00468168 | −0.000212584 | ||||||||
\(486\) | −12.9507 | − | 17.8724i | −0.587456 | − | 0.810707i | ||||
\(487\) | − | 3.65883i | − | 0.165797i | −0.996558 | − | 0.0828987i | \(-0.973582\pi\) | ||
0.996558 | − | 0.0828987i | \(-0.0264178\pi\) | |||||||
\(488\) | −21.2286 | + | 12.2563i | −0.960974 | + | 0.554818i | ||||
\(489\) | 3.51161 | − | 11.6205i | 0.158801 | − | 0.525495i | ||||
\(490\) | 4.95547 | − | 8.58312i | 0.223865 | − | 0.387746i | ||||
\(491\) | −1.64741 | + | 2.85340i | −0.0743467 | + | 0.128772i | −0.900802 | − | 0.434230i | \(-0.857020\pi\) |
0.826455 | + | 0.563002i | \(0.190354\pi\) | |||||||
\(492\) | −0.0317022 | + | 0.00742727i | −0.00142925 | + | 0.000334847i | ||||
\(493\) | −20.7562 | − | 35.9509i | −0.934814 | − | 1.61915i | ||||
\(494\) | 27.5533 | + | 13.8430i | 1.23968 | + | 0.622825i | ||||
\(495\) | −9.25660 | − | 6.15679i | −0.416053 | − | 0.276727i | ||||
\(496\) | 26.5028i | 1.19001i | ||||||||
\(497\) | 0.0332216 | + | 0.0575416i | 0.00149019 | + | 0.00258109i | ||||
\(498\) | 15.1537 | − | 14.2231i | 0.679053 | − | 0.637351i | ||||
\(499\) | −12.0212 | − | 6.94041i | −0.538141 | − | 0.310696i | 0.206184 | − | 0.978513i | \(-0.433895\pi\) |
−0.744325 | + | 0.667818i | \(0.767229\pi\) | |||||||
\(500\) | 0.00407201 | + | 0.00235097i | 0.000182106 | + | 0.000105139i | ||||
\(501\) | 21.2082 | + | 22.5958i | 0.947513 | + | 1.00951i | ||||
\(502\) | 4.17776 | − | 2.41203i | 0.186463 | − | 0.107654i | ||||
\(503\) | −14.3269 | −0.638806 | −0.319403 | − | 0.947619i | \(-0.603482\pi\) | ||||
−0.319403 | + | 0.947619i | \(0.603482\pi\) | |||||||
\(504\) | −0.00614994 | + | 0.0969718i | −0.000273940 | + | 0.00431947i | ||||
\(505\) | − | 2.00324i | − | 0.0891430i | ||||||
\(506\) | 12.7008 | + | 21.9985i | 0.564621 | + | 0.977953i | ||||
\(507\) | 14.5230 | − | 17.2070i | 0.644990 | − | 0.764191i | ||||
\(508\) | 0.0441784 | − | 0.0765192i | 0.00196010 | − | 0.00339499i | ||||
\(509\) | −20.2696 | − | 11.7027i | −0.898434 | − | 0.518711i | −0.0217423 | − | 0.999764i | \(-0.506921\pi\) |
−0.876692 | + | 0.481052i | \(0.840255\pi\) | |||||||
\(510\) | −10.9135 | − | 3.29798i | −0.483258 | − | 0.146037i | ||||
\(511\) | −0.0113079 | − | 0.0195859i | −0.000500234 | − | 0.000866431i | ||||
\(512\) | 22.5471i | 0.996451i | ||||||||
\(513\) | −24.1982 | + | 19.9878i | −1.06838 | + | 0.882482i | ||||
\(514\) | − | 42.7426i | − | 1.88530i | ||||||
\(515\) | 14.0696 | − | 8.12311i | 0.619983 | − | 0.357947i | ||||
\(516\) | −0.00890353 | − | 0.00269058i | −0.000391956 | − | 0.000118446i | ||||
\(517\) | −19.1922 | + | 33.2418i | −0.844071 | + | 1.46197i | ||||
\(518\) | 0.0635960 | + | 0.0367171i | 0.00279425 | + | 0.00161326i | ||||
\(519\) | 10.2378 | + | 43.6985i | 0.449389 | + | 1.91815i | ||||
\(520\) | 0.590738 | + | 10.1689i | 0.0259056 | + | 0.445935i | ||||
\(521\) | −40.3139 | −1.76619 | −0.883093 | − | 0.469198i | \(-0.844543\pi\) | ||||
−0.883093 | + | 0.469198i | \(0.844543\pi\) | |||||||
\(522\) | 16.8474 | + | 33.9818i | 0.737391 | + | 1.48734i | ||||
\(523\) | −20.3832 | −0.891297 | −0.445648 | − | 0.895208i | \(-0.647027\pi\) | ||||
−0.445648 | + | 0.895208i | \(0.647027\pi\) | |||||||
\(524\) | 0.00696637 | + | 0.0120661i | 0.000304327 | + | 0.000527110i | ||||
\(525\) | −0.0135897 | − | 0.0144789i | −0.000593104 | − | 0.000631910i | ||||
\(526\) | 23.2592 | + | 13.4287i | 1.01415 | + | 0.585520i | ||||
\(527\) | 26.6134 | + | 15.3652i | 1.15930 | + | 0.669321i | ||||
\(528\) | −17.6115 | − | 18.7638i | −0.766442 | − | 0.816590i | ||||
\(529\) | −0.219320 | − | 0.379874i | −0.00953567 | − | 0.0165163i | ||||
\(530\) | −3.36641 | −0.146227 | ||||||||
\(531\) | −1.83526 | − | 3.70178i | −0.0796434 | − | 0.160644i | ||||
\(532\) | −0.000325606 | 0 | −1.41168e−5 | 0 | ||||||
\(533\) | 14.3911 | − | 0.836020i | 0.623348 | − | 0.0362120i | ||||
\(534\) | 1.99668 | + | 8.52254i | 0.0864048 | + | 0.368806i | ||||
\(535\) | −1.95675 | − | 1.12973i | −0.0845977 | − | 0.0488425i | ||||
\(536\) | 13.6562 | − | 23.6532i | 0.589857 | − | 1.02166i | ||||
\(537\) | 6.02483 | + | 1.82066i | 0.259991 | + | 0.0785672i | ||||
\(538\) | −4.23496 | + | 2.44505i | −0.182582 | + | 0.105414i | ||||
\(539\) | − | 25.9395i | − | 1.11729i | ||||||
\(540\) | 0.0228933 | + | 0.00853361i | 0.000985169 | + | 0.000367228i | ||||
\(541\) | − | 12.9137i | − | 0.555204i | −0.960696 | − | 0.277602i | \(-0.910460\pi\) | ||
0.960696 | − | 0.277602i | \(-0.0895396\pi\) | |||||||
\(542\) | 9.62783 | + | 16.6759i | 0.413551 | + | 0.716291i | ||||
\(543\) | −14.9776 | − | 4.52612i | −0.642751 | − | 0.194234i | ||||
\(544\) | −0.107087 | − | 0.0618268i | −0.00459132 | − | 0.00265080i | ||||
\(545\) | −4.17416 | + | 7.22987i | −0.178802 | + | 0.309693i | ||||
\(546\) | −0.0236472 | + | 0.0985759i | −0.00101201 | + | 0.00421866i | ||||
\(547\) | −3.77468 | − | 6.53794i | −0.161394 | − | 0.279542i | 0.773975 | − | 0.633216i | \(-0.218266\pi\) |
−0.935369 | + | 0.353674i | \(0.884932\pi\) | |||||||
\(548\) | − | 0.0927595i | − | 0.00396249i | ||||||
\(549\) | 1.64753 | − | 25.9781i | 0.0703149 | − | 1.10872i | ||||
\(550\) | 5.24682 | 0.223725 | ||||||||
\(551\) | 46.7095 | − | 26.9678i | 1.98989 | − | 1.14887i | ||||
\(552\) | 16.2124 | + | 17.2731i | 0.690044 | + | 0.735193i | ||||
\(553\) | 0.00748453 | + | 0.00432120i | 0.000318275 | + | 0.000183756i | ||||
\(554\) | 9.37850 | + | 5.41468i | 0.398454 | + | 0.230048i | ||||
\(555\) | −5.71325 | + | 5.36239i | −0.242514 | + | 0.227621i | ||||
\(556\) | −0.0425648 | − | 0.0737244i | −0.00180515 | − | 0.00312661i | ||||
\(557\) | − | 19.3602i | − | 0.820318i | −0.912014 | − | 0.410159i | \(-0.865473\pi\) | ||
0.912014 | − | 0.410159i | \(-0.134527\pi\) | |||||||
\(558\) | −23.3787 | − | 15.5497i | −0.989697 | − | 0.658272i | ||||
\(559\) | 3.67958 | + | 1.84864i | 0.155629 | + | 0.0781893i | ||||
\(560\) | −0.0229832 | − | 0.0398081i | −0.000971218 | − | 0.00168220i | ||||
\(561\) | −29.0525 | + | 6.80649i | −1.22660 | + | 0.287370i | ||||
\(562\) | 15.9593 | − | 27.6424i | 0.673204 | − | 1.16602i | ||||
\(563\) | 15.2746 | − | 26.4563i | 0.643746 | − | 1.11500i | −0.340844 | − | 0.940120i | \(-0.610713\pi\) |
0.984590 | − | 0.174880i | \(-0.0559539\pi\) | |||||||
\(564\) | 0.0244022 | − | 0.0807505i | 0.00102752 | − | 0.00340021i | ||||
\(565\) | 7.72487 | − | 4.45996i | 0.324988 | − | 0.187632i | ||||
\(566\) | 0.627175i | 0.0263621i | ||||||||
\(567\) | −0.0821250 | − | 0.0624667i | −0.00344893 | − | 0.00262335i | ||||
\(568\) | −16.3727 | −0.686984 | ||||||||
\(569\) | −23.1980 | − | 40.1802i | −0.972512 | − | 1.68444i | −0.687911 | − | 0.725795i | \(-0.741472\pi\) |
−0.284601 | − | 0.958646i | \(-0.591861\pi\) | |||||||
\(570\) | 4.28493 | − | 14.1795i | 0.179476 | − | 0.593913i | ||||
\(571\) | −3.72019 | + | 6.44356i | −0.155685 | + | 0.269655i | −0.933308 | − | 0.359076i | \(-0.883092\pi\) |
0.777623 | + | 0.628731i | \(0.216425\pi\) | |||||||
\(572\) | −0.0345141 | − | 0.0524933i | −0.00144311 | − | 0.00219485i | ||||
\(573\) | 8.35134 | + | 35.6465i | 0.348882 | + | 1.48915i | ||||
\(574\) | −0.0562047 | + | 0.0324498i | −0.00234594 | + | 0.00135443i | ||||
\(575\) | −4.84135 | −0.201898 | ||||||||
\(576\) | −19.9362 | − | 13.2601i | −0.830676 | − | 0.552503i | ||||
\(577\) | 18.5451i | 0.772042i | 0.922490 | + | 0.386021i | \(0.126151\pi\) | ||||
−0.922490 | + | 0.386021i | \(0.873849\pi\) | |||||||
\(578\) | −5.65605 | + | 3.26552i | −0.235261 | + | 0.135828i | ||||
\(579\) | −0.288515 | − | 0.307392i | −0.0119903 | − | 0.0127748i | ||||
\(580\) | −0.0363607 | − | 0.0209929i | −0.00150980 | − | 0.000871681i | ||||
\(581\) | 0.0485796 | − | 0.0841424i | 0.00201542 | − | 0.00349081i | ||||
\(582\) | 0.00837141 | − | 0.00785732i | 0.000347006 | − | 0.000325696i | ||||
\(583\) | −7.63034 | + | 4.40538i | −0.316017 | + | 0.182452i | ||||
\(584\) | 5.57293 | 0.230609 | ||||||||
\(585\) | −9.33866 | − | 5.45797i | −0.386106 | − | 0.225659i | ||||
\(586\) | 0.215491 | 0.00890185 | ||||||||
\(587\) | −13.2268 | + | 7.63650i | −0.545929 | + | 0.315192i | −0.747478 | − | 0.664286i | \(-0.768736\pi\) |
0.201550 | + | 0.979478i | \(0.435402\pi\) | |||||||
\(588\) | 0.0130036 | + | 0.0555041i | 0.000536261 | + | 0.00228895i | ||||
\(589\) | −19.9635 | + | 34.5777i | −0.822580 | + | 1.42475i | ||||
\(590\) | 1.68876 | + | 0.975007i | 0.0695252 | + | 0.0401404i | ||||
\(591\) | 9.20545 | − | 30.4622i | 0.378661 | − | 1.25305i | ||||
\(592\) | −15.7079 | + | 9.06898i | −0.645592 | + | 0.372733i | ||||
\(593\) | − | 15.5028i | − | 0.636624i | −0.947986 | − | 0.318312i | \(-0.896884\pi\) | ||
0.947986 | − | 0.318312i | \(-0.103116\pi\) | |||||||
\(594\) | 26.8849 | − | 4.52637i | 1.10310 | − | 0.185719i | ||||
\(595\) | −0.0532989 | −0.00218504 | ||||||||
\(596\) | −0.0490764 | + | 0.0283343i | −0.00201025 | + | 0.00116062i | ||||
\(597\) | −22.1631 | − | 6.69751i | −0.907074 | − | 0.274111i | ||||
\(598\) | 13.5781 | + | 20.6512i | 0.555249 | + | 0.844491i | ||||
\(599\) | −23.4811 | + | 40.6704i | −0.959410 | + | 1.66175i | −0.235474 | + | 0.971881i | \(0.575664\pi\) |
−0.723936 | + | 0.689867i | \(0.757669\pi\) | |||||||
\(600\) | 4.76420 | − | 1.11617i | 0.194498 | − | 0.0455674i | ||||
\(601\) | 9.90852 | + | 17.1621i | 0.404177 | + | 0.700055i | 0.994225 | − | 0.107313i | \(-0.0342247\pi\) |
−0.590048 | + | 0.807368i | \(0.700891\pi\) | |||||||
\(602\) | −0.0185391 | −0.000755596 | ||||||||
\(603\) | 12.8828 | + | 25.9851i | 0.524629 | + | 1.05819i | ||||
\(604\) | − | 0.0912024i | − | 0.00371097i | ||||||
\(605\) | 2.36623 | − | 1.36614i | 0.0962009 | − | 0.0555416i | ||||
\(606\) | 3.36206 | + | 3.58204i | 0.136574 | + | 0.145510i | ||||
\(607\) | 9.73052 | − | 16.8538i | 0.394950 | − | 0.684073i | −0.598145 | − | 0.801388i | \(-0.704095\pi\) |
0.993095 | + | 0.117315i | \(0.0374287\pi\) | |||||||
\(608\) | 0.0803291 | − | 0.139134i | 0.00325777 | − | 0.00564263i | ||||
\(609\) | 0.121349 | + | 0.129288i | 0.00491729 | + | 0.00523903i | ||||
\(610\) | 6.14261 | + | 10.6393i | 0.248707 | + | 0.430773i | ||||
\(611\) | −16.7663 | + | 33.3719i | −0.678291 | + | 1.35008i | ||||
\(612\) | 0.0587530 | − | 0.0291284i | 0.00237495 | − | 0.00117745i | ||||
\(613\) | − | 35.8156i | − | 1.44658i | −0.690546 | − | 0.723288i | \(-0.742630\pi\) | ||
0.690546 | − | 0.723288i | \(-0.257370\pi\) | |||||||
\(614\) | 8.65187 | + | 14.9855i | 0.349161 | + | 0.604765i | ||||
\(615\) | −1.57962 | − | 6.74236i | −0.0636963 | − | 0.271878i | ||||
\(616\) | −0.103944 | − | 0.0600119i | −0.00418801 | − | 0.00241795i | ||||
\(617\) | −7.87734 | − | 4.54798i | −0.317130 | − | 0.183095i | 0.332983 | − | 0.942933i | \(-0.391945\pi\) |
−0.650112 | + | 0.759838i | \(0.725278\pi\) | |||||||
\(618\) | −11.5251 | + | 38.1383i | −0.463608 | + | 1.53415i | ||||
\(619\) | −4.43877 | + | 2.56273i | −0.178409 | + | 0.103005i | −0.586545 | − | 0.809917i | \(-0.699512\pi\) |
0.408136 | + | 0.912921i | \(0.366179\pi\) | |||||||
\(620\) | 0.0310808 | 0.00124824 | ||||||||
\(621\) | −24.8072 | + | 4.17657i | −0.995481 | + | 0.167600i | ||||
\(622\) | 41.0704i | 1.64677i | ||||||||
\(623\) | 0.0204607 | + | 0.0354389i | 0.000819739 | + | 0.00141983i | ||||
\(624\) | −18.1654 | − | 17.2322i | −0.727200 | − | 0.689838i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | −32.9284 | − | 19.0112i | −1.31608 | − | 0.759840i | ||||
\(627\) | −8.84340 | − | 37.7468i | −0.353172 | − | 1.50746i | ||||
\(628\) | −0.0392760 | − | 0.0680280i | −0.00156728 | − | 0.00271461i | ||||
\(629\) | 21.0313i | 0.838572i | ||||||||
\(630\) | 0.0486002 | + | 0.00308222i | 0.00193628 | + | 0.000122798i | ||||
\(631\) | 44.9471i | 1.78931i | 0.446753 | + | 0.894657i | \(0.352580\pi\) | ||||
−0.446753 | + | 0.894657i | \(0.647420\pi\) | |||||||
\(632\) | −1.84431 | + | 1.06481i | −0.0733628 | + | 0.0423560i | ||||
\(633\) | −20.3913 | + | 19.1390i | −0.810481 | + | 0.760708i | ||||
\(634\) | 21.9468 | − | 38.0129i | 0.871617 | − | 1.50969i | ||||
\(635\) | 16.2739 | + | 9.39576i | 0.645811 | + | 0.372859i | ||||
\(636\) | 0.0141186 | − | 0.0132516i | 0.000559839 | − | 0.000525459i | ||||
\(637\) | −1.46370 | − | 25.1959i | −0.0579939 | − | 0.998298i | ||||
\(638\) | −46.8512 | −1.85485 | ||||||||
\(639\) | 9.62876 | − | 14.4766i | 0.380908 | − | 0.572687i | ||||
\(640\) | 11.3534 | 0.448784 | ||||||||
\(641\) | 8.58775 | + | 14.8744i | 0.339196 | + | 0.587504i | 0.984282 | − | 0.176606i | \(-0.0565118\pi\) |
−0.645086 | + | 0.764110i | \(0.723178\pi\) | |||||||
\(642\) | 5.39495 | − | 1.26394i | 0.212922 | − | 0.0498838i | ||||
\(643\) | 22.8056 | + | 13.1668i | 0.899366 | + | 0.519249i | 0.876994 | − | 0.480500i | \(-0.159545\pi\) |
0.0223716 | + | 0.999750i | \(0.492878\pi\) | |||||||
\(644\) | −0.000226015 | 0 | 0.000130490i | −8.90625e−6 | 0 | 5.14202e-6i | ||||
\(645\) | 0.572226 | − | 1.89358i | 0.0225314 | − | 0.0745598i | ||||
\(646\) | −19.8793 | − | 34.4319i | −0.782140 | − | 1.35471i | ||||
\(647\) | 8.35488 | 0.328464 | 0.164232 | − | 0.986422i | \(-0.447485\pi\) | ||||
0.164232 | + | 0.986422i | \(0.447485\pi\) | |||||||
\(648\) | 23.4490 | − | 9.82931i | 0.921165 | − | 0.386132i | ||||
\(649\) | 5.10369 | 0.200337 | ||||||||
\(650\) | 5.09642 | − | 0.296065i | 0.199898 | − | 0.0116126i | ||||
\(651\) | −0.125650 | − | 0.0379705i | −0.00492461 | − | 0.00148818i | ||||
\(652\) | −0.0285395 | − | 0.0164773i | −0.00111769 | − | 0.000645301i | ||||
\(653\) | −9.65746 | + | 16.7272i | −0.377926 | + | 0.654587i | −0.990760 | − | 0.135625i | \(-0.956696\pi\) |
0.612835 | + | 0.790211i | \(0.290029\pi\) | |||||||
\(654\) | −4.67005 | − | 19.9334i | −0.182613 | − | 0.779459i | ||||
\(655\) | −2.56619 | + | 1.48159i | −0.100269 | + | 0.0578906i | ||||
\(656\) | − | 16.0299i | − | 0.625864i | ||||||
\(657\) | −3.27743 | + | 4.92754i | −0.127865 | + | 0.192242i | ||||
\(658\) | − | 0.168140i | − | 0.00655478i | ||||||
\(659\) | 4.11302 | + | 7.12397i | 0.160221 | + | 0.277510i | 0.934948 | − | 0.354785i | \(-0.115446\pi\) |
−0.774727 | + | 0.632296i | \(0.782113\pi\) | |||||||
\(660\) | −0.0220050 | + | 0.0206536i | −0.000856543 | + | 0.000803942i | ||||
\(661\) | −15.8360 | − | 9.14292i | −0.615949 | − | 0.355618i | 0.159341 | − | 0.987224i | \(-0.449063\pi\) |
−0.775290 | + | 0.631605i | \(0.782396\pi\) | |||||||
\(662\) | −20.5458 | + | 35.5864i | −0.798536 | + | 1.38311i | ||||
\(663\) | −27.8356 | + | 8.25074i | −1.08105 | + | 0.320432i | ||||
\(664\) | 11.9708 | + | 20.7341i | 0.464558 | + | 0.804638i | ||||
\(665\) | − | 0.0692491i | − | 0.00268536i | ||||||
\(666\) | 1.21622 | − | 19.1772i | 0.0471274 | − | 0.743102i | ||||
\(667\) | 43.2305 | 1.67389 | ||||||||
\(668\) | 0.0728559 | − | 0.0420634i | 0.00281888 | − | 0.00162748i | ||||
\(669\) | −37.0172 | + | 8.67247i | −1.43117 | + | 0.335297i | ||||
\(670\) | −11.8545 | − | 6.84418i | −0.457978 | − | 0.264414i | ||||
\(671\) | 27.8458 | + | 16.0768i | 1.07498 | + | 0.620638i | ||||
\(672\) | 0.000505591 | 0 | 0.000152786i | 1.95036e−5 | 0 | 5.89384e-6i | ||||
\(673\) | 6.31801 | + | 10.9431i | 0.243542 | + | 0.421826i | 0.961721 | − | 0.274032i | \(-0.0883574\pi\) |
−0.718179 | + | 0.695858i | \(0.755024\pi\) | |||||||
\(674\) | 22.7951i | 0.878033i | ||||||||
\(675\) | −1.81491 | + | 4.86889i | −0.0698559 | + | 0.187404i | ||||
\(676\) | −0.0364868 | − | 0.0490410i | −0.00140334 | − | 0.00188619i | ||||
\(677\) | 1.00014 | + | 1.73230i | 0.0384386 | + | 0.0665775i | 0.884605 | − | 0.466342i | \(-0.154428\pi\) |
−0.846166 | + | 0.532919i | \(0.821095\pi\) | |||||||
\(678\) | −6.32781 | + | 20.9397i | −0.243018 | + | 0.804184i | ||||
\(679\) | 2.68371e−5 | 0 | 4.64832e-5i | 1.02991e−6 | 0 | 1.78386e-6i | ||||
\(680\) | 6.56686 | − | 11.3741i | 0.251827 | − | 0.436178i | ||||
\(681\) | 1.52044 | − | 0.356213i | 0.0582636 | − | 0.0136501i | ||||
\(682\) | 30.0360 | − | 17.3413i | 1.15014 | − | 0.664032i | ||||
\(683\) | − | 11.3285i | − | 0.433475i | −0.976230 | − | 0.216737i | \(-0.930458\pi\) | ||
0.976230 | − | 0.216737i | \(-0.0695415\pi\) | |||||||
\(684\) | 0.0378454 | + | 0.0763355i | 0.00144706 | + | 0.00291876i | ||||
\(685\) | 19.7279 | 0.753764 | ||||||||
\(686\) | 0.113627 | + | 0.196808i | 0.00433830 | + | 0.00751416i | ||||
\(687\) | −2.04886 | − | 2.18291i | −0.0781688 | − | 0.0832833i | ||||
\(688\) | 2.28953 | − | 3.96559i | 0.0872877 | − | 0.151187i | ||||
\(689\) | −7.16303 | + | 4.70966i | −0.272890 | + | 0.179424i | ||||
\(690\) | 8.65692 | − | 8.12529i | 0.329563 | − | 0.309324i | ||||
\(691\) | 15.1112 | − | 8.72447i | 0.574858 | − | 0.331895i | −0.184229 | − | 0.982883i | \(-0.558979\pi\) |
0.759087 | + | 0.650989i | \(0.225646\pi\) | |||||||
\(692\) | 0.121839 | 0.00463163 | ||||||||
\(693\) | 0.114191 | − | 0.0566134i | 0.00433776 | − | 0.00215056i | ||||
\(694\) | − | 17.5023i | − | 0.664379i | ||||||
\(695\) | 15.6796 | − | 9.05260i | 0.594759 | − | 0.343385i | ||||
\(696\) | −42.5416 | + | 9.96675i | −1.61254 | + | 0.377789i | ||||
\(697\) | −16.0968 | − | 9.29349i | −0.609710 | − | 0.352016i | ||||
\(698\) | −0.790008 | + | 1.36833i | −0.0299022 | + | 0.0517922i | ||||
\(699\) | 30.1521 | + | 9.11172i | 1.14046 | + | 0.344637i | ||||
\(700\) | −4.66844e−5 | 0 | 2.69532e-5i | −1.76450e−6 | 0 | 1.01874e-6i | ||||
\(701\) | −14.9281 | −0.563828 | −0.281914 | − | 0.959440i | \(-0.590969\pi\) | ||||
−0.281914 | + | 0.959440i | \(0.590969\pi\) | |||||||
\(702\) | 25.8588 | − | 5.91367i | 0.975979 | − | 0.223197i | ||||
\(703\) | −27.3251 | −1.03059 | ||||||||
\(704\) | 25.6133 | − | 14.7878i | 0.965336 | − | 0.557337i | ||||
\(705\) | 17.1738 | + | 5.18980i | 0.646804 | + | 0.195459i | ||||
\(706\) | 10.9787 | − | 19.0156i | 0.413188 | − | 0.715662i | ||||
\(707\) | 0.0198896 | + | 0.0114833i | 0.000748027 | + | 0.000431873i | ||||
\(708\) | −0.0109206 | + | 0.00255851i | −0.000410423 | + | 9.61548e-5i | ||||
\(709\) | 28.4274 | − | 16.4125i | 1.06761 | − | 0.616386i | 0.140084 | − | 0.990140i | \(-0.455263\pi\) |
0.927528 | + | 0.373753i | \(0.121929\pi\) | |||||||
\(710\) | 8.20565i | 0.307952i | ||||||||
\(711\) | 0.143135 | − | 2.25694i | 0.00536799 | − | 0.0846420i | ||||
\(712\) | −10.0837 | −0.377902 | ||||||||
\(713\) | −27.7148 | + | 16.0011i | −1.03793 | + | 0.599247i | ||||
\(714\) | 0.0953048 | − | 0.0894521i | 0.00356669 | − | 0.00334766i | ||||
\(715\) | 11.1642 | − | 7.34038i | 0.417516 | − | 0.274515i | ||||
\(716\) | 0.00854296 | − | 0.0147968i | 0.000319265 | − | 0.000552984i | ||||
\(717\) | 17.6474 | + | 18.8021i | 0.659055 | + | 0.702177i | ||||
\(718\) | 18.1552 | + | 31.4457i | 0.677545 | + | 1.17354i | ||||
\(719\) | 26.2659 | 0.979554 | 0.489777 | − | 0.871848i | \(-0.337078\pi\) | ||||
0.489777 | + | 0.871848i | \(0.337078\pi\) | |||||||
\(720\) | −6.66131 | + | 10.0151i | −0.248253 | + | 0.373242i | ||||
\(721\) | 0.186258i | 0.00693662i | ||||||||
\(722\) | 21.4385 | − | 12.3775i | 0.797860 | − | 0.460644i | ||||
\(723\) | −15.6658 | + | 3.67023i | −0.582618 | + | 0.136497i | ||||
\(724\) | −0.0212376 | + | 0.0367846i | −0.000789290 | + | 0.00136709i | ||||
\(725\) | 4.46472 | − | 7.73312i | 0.165815 | − | 0.287201i | ||||
\(726\) | −1.93829 | + | 6.41410i | −0.0719368 | + | 0.238050i | ||||
\(727\) | −14.8130 | − | 25.6568i | −0.549382 | − | 0.951558i | −0.998317 | − | 0.0579934i | \(-0.981530\pi\) |
0.448935 | − | 0.893565i | \(-0.351804\pi\) | |||||||
\(728\) | −0.104350 | − | 0.0524263i | −0.00386748 | − | 0.00194305i | ||||
\(729\) | −5.09933 | + | 26.5141i | −0.188864 | + | 0.982003i | ||||
\(730\) | − | 2.79303i | − | 0.103375i | ||||||
\(731\) | −2.65476 | − | 4.59817i | −0.0981897 | − | 0.170070i | ||||
\(732\) | −0.0676426 | − | 0.0204411i | −0.00250014 | − | 0.000755524i | ||||
\(733\) | −40.5515 | − | 23.4124i | −1.49780 | − | 0.864758i | −0.497807 | − | 0.867288i | \(-0.665861\pi\) |
−0.999997 | + | 0.00253007i | \(0.999195\pi\) | |||||||
\(734\) | −22.5568 | − | 13.0232i | −0.832587 | − | 0.480694i | ||||
\(735\) | −11.8045 | + | 2.76559i | −0.435415 | + | 0.102010i | ||||
\(736\) | 0.111519 | − | 0.0643855i | 0.00411064 | − | 0.00237328i | ||||
\(737\) | −35.8259 | −1.31967 | ||||||||
\(738\) | 14.1403 | + | 9.40506i | 0.520512 | + | 0.346205i | ||||
\(739\) | − | 9.80336i | − | 0.360622i | −0.983610 | − | 0.180311i | \(-0.942290\pi\) | ||
0.983610 | − | 0.180311i | \(-0.0577105\pi\) | |||||||
\(740\) | 0.0106355 | + | 0.0184213i | 0.000390969 | + | 0.000677179i | ||||
\(741\) | −10.7199 | − | 36.1657i | −0.393804 | − | 1.32858i | ||||
\(742\) | 0.0192975 | − | 0.0334242i | 0.000708432 | − | 0.00122704i | ||||
\(743\) | 3.08670 | + | 1.78211i | 0.113240 | + | 0.0653792i | 0.555550 | − | 0.831483i | \(-0.312508\pi\) |
−0.442310 | + | 0.896862i | \(0.645841\pi\) | |||||||
\(744\) | 23.5841 | − | 22.1358i | 0.864635 | − | 0.811537i | ||||
\(745\) | −6.02608 | − | 10.4375i | −0.220778 | − | 0.382399i | ||||
\(746\) | − | 21.2300i | − | 0.777287i | ||||||
\(747\) | −25.3729 | − | 1.60915i | −0.928347 | − | 0.0588757i | ||||
\(748\) | 0.0810035i | 0.00296178i | ||||||||
\(749\) | 0.0224336 | − | 0.0129520i | 0.000819705 | − | 0.000473257i | ||||
\(750\) | −0.559399 | − | 2.38771i | −0.0204264 | − | 0.0871870i | ||||
\(751\) | −7.98664 | + | 13.8333i | −0.291437 | + | 0.504783i | −0.974150 | − | 0.225904i | \(-0.927467\pi\) |
0.682713 | + | 0.730687i | \(0.260800\pi\) | |||||||
\(752\) | 35.9659 | + | 20.7649i | 1.31154 | + | 0.757219i | ||||
\(753\) | −5.64901 | − | 1.70709i | −0.205862 | − | 0.0622098i | ||||
\(754\) | −45.5081 | + | 2.64369i | −1.65731 | + | 0.0962777i | ||||
\(755\) | 19.3967 | 0.705920 | ||||||||
\(756\) | −0.000215960 | 0 | 0.000178383i | −7.85440e−6 | 0 | 6.48774e-6i | ||||
\(757\) | −5.47878 | −0.199130 | −0.0995648 | − | 0.995031i | \(-0.531745\pi\) | ||||
−0.0995648 | + | 0.995031i | \(0.531745\pi\) | |||||||
\(758\) | −22.2558 | − | 38.5481i | −0.808366 | − | 1.40013i | ||||
\(759\) | 8.98888 | − | 29.7456i | 0.326276 | − | 1.07970i | ||||
\(760\) | 14.7780 | + | 8.53205i | 0.536053 | + | 0.309490i | ||||
\(761\) | −24.3314 | − | 14.0478i | −0.882013 | − | 0.509231i | −0.0106917 | − | 0.999943i | \(-0.503403\pi\) |
−0.871322 | + | 0.490712i | \(0.836737\pi\) | |||||||
\(762\) | −44.8688 | + | 10.5120i | −1.62542 | + | 0.380808i | ||||
\(763\) | −0.0478556 | − | 0.0828883i | −0.00173249 | − | 0.00300076i | ||||
\(764\) | 0.0993886 | 0.00359575 | ||||||||
\(765\) | 6.19497 | + | 12.4955i | 0.223980 | + | 0.451775i | ||||
\(766\) | 38.1320 | 1.37776 | ||||||||
\(767\) | 4.95739 | − | 0.287988i | 0.179001 | − | 0.0103987i | ||||
\(768\) | −0.142514 | + | 0.133762i | −0.00514254 | + | 0.00482674i | ||||
\(769\) | 6.60502 | + | 3.81341i | 0.238183 | + | 0.137515i | 0.614341 | − | 0.789040i | \(-0.289422\pi\) |
−0.376158 | + | 0.926555i | \(0.622755\pi\) | |||||||
\(770\) | −0.0300767 | + | 0.0520943i | −0.00108389 | + | 0.00187735i | ||||
\(771\) | −38.1249 | + | 35.7836i | −1.37303 | + | 1.28872i | ||||
\(772\) | −0.000991126 | 0 | 0.000572227i | −3.56714e−5 | 0 | 2.05949e-5i | ||||
\(773\) | − | 40.5127i | − | 1.45714i | −0.684971 | − | 0.728570i | \(-0.740185\pi\) | ||
0.684971 | − | 0.728570i | \(-0.259815\pi\) | |||||||
\(774\) | 2.15481 | + | 4.34633i | 0.0774531 | + | 0.156226i | ||||
\(775\) | 6.61020i | 0.237445i | ||||||||
\(776\) | 0.00661309 | + | 0.0114542i | 0.000237396 | + | 0.000411182i | ||||
\(777\) | −0.0204914 | − | 0.0874644i | −0.000735124 | − | 0.00313777i | ||||
\(778\) | −23.8021 | − | 13.7422i | −0.853348 | − | 0.492681i | ||||
\(779\) | 12.0747 | − | 20.9139i | 0.432620 | − | 0.749320i | ||||
\(780\) | −0.0202088 | + | 0.0213033i | −0.000723590 | + | 0.000762780i | ||||
\(781\) | 10.7381 | + | 18.5990i | 0.384241 | + | 0.665525i | ||||
\(782\) | − | 31.8673i | − | 1.13957i | ||||||
\(783\) | 16.2061 | − | 43.4764i | 0.579159 | − | 1.55372i | ||||
\(784\) | −28.0651 | −1.00233 | ||||||||
\(785\) | 14.4680 | − | 8.35313i | 0.516387 | − | 0.298136i | ||||
\(786\) | 2.10209 | − | 6.95614i | 0.0749791 | − | 0.248117i | ||||
\(787\) | 35.7232 | + | 20.6248i | 1.27340 | + | 0.735196i | 0.975626 | − | 0.219442i | \(-0.0704236\pi\) |
0.297771 | + | 0.954637i | \(0.403757\pi\) | |||||||
\(788\) | −0.0748144 | − | 0.0431941i | −0.00266515 | − | 0.00153873i | ||||
\(789\) | −7.49440 | − | 31.9887i | −0.266808 | − | 1.13883i | ||||
\(790\) | 0.533661 | + | 0.924329i | 0.0189868 | + | 0.0328861i | ||||
\(791\) | 0.102264i | 0.00363610i | ||||||||
\(792\) | −1.98783 | + | 31.3440i | −0.0706345 | + | 1.11376i | ||||
\(793\) | 27.9548 | + | 14.0447i | 0.992703 | + | 0.498741i | ||||
\(794\) | 11.8516 | + | 20.5276i | 0.420597 | + | 0.728496i | ||||
\(795\) | 2.81832 | + | 3.00271i | 0.0999553 | + | 0.106495i | ||||
\(796\) | −0.0314263 | + | 0.0544319i | −0.00111388 | + | 0.00192929i | ||||
\(797\) | 8.17615 | − | 14.1615i | 0.289614 | − | 0.501626i | −0.684104 | − | 0.729385i | \(-0.739806\pi\) |
0.973718 | + | 0.227759i | \(0.0731397\pi\) | |||||||
\(798\) | 0.116222 | + | 0.123826i | 0.00411420 | + | 0.00438338i | ||||
\(799\) | 41.7031 | − | 24.0773i | 1.47535 | − | 0.851793i | ||||
\(800\) | − | 0.0265982i | − | 0.000940387i | ||||||
\(801\) | 5.93020 | − | 8.91593i | 0.209533 | − | 0.315029i | ||||
\(802\) | 8.23124 | 0.290655 | ||||||||
\(803\) | −3.65504 | − | 6.33071i | −0.128984 | − | 0.223406i | ||||
\(804\) | 0.0766587 | − | 0.0179598i | 0.00270354 | − | 0.000633393i | ||||
\(805\) | 0.0277523 | − | 0.0480684i | 0.000978141 | − | 0.00169419i | ||||
\(806\) | 28.1964 | − | 18.5390i | 0.993177 | − | 0.653009i | ||||
\(807\) | 5.72635 | + | 1.73046i | 0.201577 | + | 0.0609150i | ||||
\(808\) | −4.90113 | + | 2.82967i | −0.172421 | + | 0.0995474i | ||||
\(809\) | −27.3316 | −0.960927 | −0.480463 | − | 0.877015i | \(-0.659532\pi\) | ||||
−0.480463 | + | 0.877015i | \(0.659532\pi\) | |||||||
\(810\) | −4.92624 | − | 11.7522i | −0.173090 | − | 0.412928i | ||||
\(811\) | 55.6820i | 1.95526i | 0.210336 | + | 0.977629i | \(0.432544\pi\) | ||||
−0.210336 | + | 0.977629i | \(0.567456\pi\) | |||||||
\(812\) | 0.000416865 | 0 | 0.000240677i | 1.46291e−5 | 0 | 8.44611e-6i | ||||
\(813\) | 6.81399 | − | 22.5485i | 0.238977 | − | 0.790811i | ||||
\(814\) | 20.5560 | + | 11.8680i | 0.720486 | + | 0.415973i | ||||
\(815\) | 3.50436 | − | 6.06973i | 0.122752 | − | 0.212613i | ||||
\(816\) | 7.36426 | + | 31.4333i | 0.257801 | + | 1.10038i | ||||
\(817\) | 5.97422 | − | 3.44922i | 0.209012 | − | 0.120673i | ||||
\(818\) | 23.2103 | 0.811528 | ||||||||
\(819\) | 0.107723 | − | 0.0614340i | 0.00376415 | − | 0.00214668i | ||||
\(820\) | −0.0187989 | −0.000656485 | ||||||||
\(821\) | 1.33908 | − | 0.773119i | 0.0467343 | − | 0.0269820i | −0.476451 | − | 0.879201i | \(-0.658077\pi\) |
0.523185 | + | 0.852219i | \(0.324744\pi\) | |||||||
\(822\) | −35.2759 | + | 33.1096i | −1.23039 | + | 1.15483i | ||||
\(823\) | 15.9113 | − | 27.5591i | 0.554631 | − | 0.960650i | −0.443301 | − | 0.896373i | \(-0.646193\pi\) |
0.997932 | − | 0.0642768i | \(-0.0204741\pi\) | |||||||
\(824\) | −39.7480 | − | 22.9485i | −1.38469 | − | 0.799450i | ||||
\(825\) | −4.39257 | − | 4.67997i | −0.152930 | − | 0.162936i | ||||
\(826\) | −0.0193612 | + | 0.0111782i | −0.000673661 | + | 0.000388938i | ||||
\(827\) | 22.7332i | 0.790510i | 0.918571 | + | 0.395255i | \(0.129344\pi\) | ||||
−0.918571 | + | 0.395255i | \(0.870656\pi\) | |||||||
\(828\) | −0.00432234 | + | 0.0681543i | −0.000150212 | + | 0.00236853i | ||||
\(829\) | 36.3527 | 1.26258 | 0.631291 | − | 0.775546i | \(-0.282526\pi\) | ||||
0.631291 | + | 0.775546i | \(0.282526\pi\) | |||||||
\(830\) | 10.3915 | − | 5.99951i | 0.360693 | − | 0.208246i | ||||
\(831\) | −3.02186 | − | 12.8984i | −0.104827 | − | 0.447440i | ||||
\(832\) | 24.0446 | − | 15.8092i | 0.833597 | − | 0.548086i | ||||
\(833\) | −16.2710 | + | 28.1822i | −0.563757 | + | 0.976456i | ||||
\(834\) | −12.8439 | + | 42.5023i | −0.444747 | + | 1.47173i | ||||
\(835\) | 8.94595 | + | 15.4948i | 0.309587 | + | 0.536221i | ||||
\(836\) | −0.105245 | −0.00363996 | ||||||||
\(837\) | 5.70254 | + | 33.8709i | 0.197109 | + | 1.17075i | ||||
\(838\) | 34.2838i | 1.18431i | ||||||||
\(839\) | 8.60189 | − | 4.96630i | 0.296970 | − | 0.171456i | −0.344111 | − | 0.938929i | \(-0.611820\pi\) |
0.641081 | + | 0.767473i | \(0.278486\pi\) | |||||||
\(840\) | −0.0162280 | + | 0.0537008i | −0.000559918 | + | 0.00185285i | ||||
\(841\) | −25.3674 | + | 43.9376i | −0.874738 | + | 1.51509i | ||||
\(842\) | −22.4752 | + | 38.9282i | −0.774547 | + | 1.34155i | ||||
\(843\) | −38.0170 | + | 8.90671i | −1.30937 | + | 0.306763i | ||||
\(844\) | 0.0379595 | + | 0.0657477i | 0.00130662 | + | 0.00226313i | ||||
\(845\) | 10.4299 | − | 7.75993i | 0.358801 | − | 0.266950i | ||||
\(846\) | −39.4190 | + | 19.5430i | −1.35525 | + | 0.671904i | ||||
\(847\) | 0.0313249i | 0.00107634i | ||||||||
\(848\) | 4.76639 | + | 8.25563i | 0.163678 | + | 0.283499i | ||||
\(849\) | 0.559418 | − | 0.525063i | 0.0191992 | − | 0.0180201i | ||||
\(850\) | −5.70047 | − | 3.29117i | −0.195524 | − | 0.112886i | ||||
\(851\) | −18.9674 | − | 10.9508i | −0.650194 | − | 0.375390i | ||||
\(852\) | −0.0323008 | − | 0.0344142i | −0.00110661 | − | 0.00117901i | ||||
\(853\) | −8.72420 | + | 5.03692i | −0.298711 | + | 0.172461i | −0.641864 | − | 0.766819i | \(-0.721839\pi\) |
0.343153 | + | 0.939280i | \(0.388505\pi\) | |||||||
\(854\) | −0.140847 | −0.00481967 | ||||||||
\(855\) | −16.2349 | + | 8.04888i | −0.555221 | + | 0.275266i | ||||
\(856\) | 6.38319i | 0.218173i | ||||||||
\(857\) | 9.28122 | + | 16.0755i | 0.317040 | + | 0.549130i | 0.979869 | − | 0.199641i | \(-0.0639776\pi\) |
−0.662829 | + | 0.748771i | \(0.730644\pi\) | |||||||
\(858\) | −7.64342 | + | 31.8624i | −0.260942 | + | 1.08777i | ||||
\(859\) | −20.4160 | + | 35.3616i | −0.696586 | + | 1.20652i | 0.273058 | + | 0.961998i | \(0.411965\pi\) |
−0.969643 | + | 0.244524i | \(0.921368\pi\) | |||||||
\(860\) | −0.00465059 | − | 0.00268502i | −0.000158584 | − | 9.15584e-5i | ||||
\(861\) | 0.0759980 | + | 0.0229660i | 0.00259000 | + | 0.000782679i | ||||
\(862\) | −12.6657 | − | 21.9376i | −0.431395 | − | 0.747197i | ||||
\(863\) | 24.6388i | 0.838714i | 0.907821 | + | 0.419357i | \(0.137744\pi\) | ||||
−0.907821 | + | 0.419357i | \(0.862256\pi\) | |||||||
\(864\) | −0.0229459 | − | 0.136290i | −0.000780636 | − | 0.00463668i | ||||
\(865\) | 25.9125i | 0.881051i | ||||||||
\(866\) | 31.2284 | − | 18.0297i | 1.06118 | − | 0.612674i | ||||
\(867\) | 7.64790 | + | 2.31114i | 0.259736 | + | 0.0784903i | ||||
\(868\) | −0.000178166 | 0 | 0.000308593i | −6.04736e−6 | 0 | 1.04743e-5i | ||||
\(869\) | 2.41921 | + | 1.39673i | 0.0820660 | + | 0.0473808i | ||||
\(870\) | 4.99512 | + | 21.3209i | 0.169350 | + | 0.722847i | ||||
\(871\) | −34.7990 | + | 2.02157i | −1.17912 | + | 0.0684982i | ||||
\(872\) | 23.5848 | 0.798682 | ||||||||
\(873\) | −0.0140169 | 0.000888949i | −0.000474400 | 3.00864e-5i | ||||||
\(874\) | 41.4040 | 1.40051 | ||||||||
\(875\) | −0.00573236 | − | 0.00992873i | −0.000193789 | − | 0.000335652i | ||||
\(876\) | 0.0109945 | + | 0.0117139i | 0.000371470 | + | 0.000395775i | ||||
\(877\) | −41.5931 | − | 24.0138i | −1.40450 | − | 0.810889i | −0.409650 | − | 0.912243i | \(-0.634349\pi\) |
−0.994850 | + | 0.101354i | \(0.967683\pi\) | |||||||
\(878\) | −8.11900 | − | 4.68751i | −0.274003 | − | 0.158196i | ||||
\(879\) | −0.180406 | − | 0.192210i | −0.00608495 | − | 0.00648308i | ||||
\(880\) | −7.42880 | − | 12.8671i | −0.250425 | − | 0.433749i | ||||
\(881\) | 16.2470 | 0.547374 | 0.273687 | − | 0.961819i | \(-0.411757\pi\) | ||||
0.273687 | + | 0.961819i | \(0.411757\pi\) | |||||||
\(882\) | 16.4663 | − | 24.7568i | 0.554451 | − | 0.833605i | ||||
\(883\) | −13.1468 | −0.442426 | −0.221213 | − | 0.975225i | \(-0.571002\pi\) | ||||
−0.221213 | + | 0.975225i | \(0.571002\pi\) | |||||||
\(884\) | 0.00457083 | + | 0.0786815i | 0.000153734 | + | 0.00264634i | ||||
\(885\) | −0.544139 | − | 2.32258i | −0.0182910 | − | 0.0780726i | ||||
\(886\) | 20.4352 | + | 11.7982i | 0.686533 | + | 0.396370i | ||||
\(887\) | 7.81958 | − | 13.5439i | 0.262556 | − | 0.454760i | −0.704365 | − | 0.709838i | \(-0.748768\pi\) |
0.966920 | + | 0.255078i | \(0.0821013\pi\) | |||||||
\(888\) | 21.1899 | + | 6.40341i | 0.711085 | + | 0.214884i | ||||
\(889\) | −0.186576 | + | 0.107720i | −0.00625756 | + | 0.00361280i | ||||
\(890\) | 5.05372i | 0.169401i | ||||||||
\(891\) | −26.5451 | − | 20.1909i | −0.889293 | − | 0.676422i | ||||
\(892\) | 0.103210i | 0.00345574i | ||||||||
\(893\) | 31.2827 | + | 54.1832i | 1.04683 | + | 1.81317i | ||||
\(894\) | 28.2927 | + | 8.54983i | 0.946249 | + | 0.285949i | ||||
\(895\) | 3.14696 | + | 1.81690i | 0.105191 | + | 0.0607322i | ||||
\(896\) | −0.0650820 | + | 0.112725i | −0.00217424 | + | 0.00376589i | ||||
\(897\) | 7.05274 | − | 29.4001i | 0.235484 | − | 0.981641i | ||||
\(898\) | −3.75400 | − | 6.50213i | −0.125273 | − | 0.216979i | ||||
\(899\) | − | 59.0254i | − | 1.96861i | ||||||
\(900\) | 0.0117451 | + | 0.00781196i | 0.000391504 | + | 0.000260399i | ||||
\(901\) | 11.0534 | 0.368243 | ||||||||
\(902\) | −18.1669 | + | 10.4887i | −0.604892 | + | 0.349235i | ||||
\(903\) | 0.0155207 | + | 0.0165362i | 0.000516496 | + | 0.000550289i | ||||
\(904\) | −21.8235 | − | 12.5998i | −0.725838 | − | 0.419063i | ||||
\(905\) | −7.82328 | − | 4.51677i | −0.260055 | − | 0.150143i | ||||
\(906\) | −34.6837 | + | 32.5538i | −1.15229 | + | 1.08153i | ||||
\(907\) | 12.4039 | + | 21.4842i | 0.411864 | + | 0.713370i | 0.995094 | − | 0.0989378i | \(-0.0315445\pi\) |
−0.583229 | + | 0.812307i | \(0.698211\pi\) | |||||||
\(908\) | − | 0.00423927i | − | 0.000140685i | ||||||
\(909\) | 0.380372 | − | 5.99767i | 0.0126161 | − | 0.198930i | ||||
\(910\) | −0.0262749 | + | 0.0522981i | −0.000871005 | + | 0.00173367i | ||||
\(911\) | −9.44811 | − | 16.3646i | −0.313030 | − | 0.542183i | 0.665987 | − | 0.745963i | \(-0.268011\pi\) |
−0.979017 | + | 0.203780i | \(0.934677\pi\) | |||||||
\(912\) | −40.8400 | + | 9.56809i | −1.35235 | + | 0.316831i | ||||
\(913\) | 15.7023 | − | 27.1971i | 0.519669 | − | 0.900094i | ||||
\(914\) | −24.0774 | + | 41.7033i | −0.796410 | + | 1.37942i | ||||
\(915\) | 4.34736 | − | 14.3861i | 0.143719 | − | 0.475589i | ||||
\(916\) | −0.00703838 | + | 0.00406361i | −0.000232555 | + | 0.000134265i | ||||
\(917\) | − | 0.0339721i | − | 0.00112186i | ||||||
\(918\) | −32.0487 | − | 11.9463i | −1.05776 | − | 0.394288i | ||||
\(919\) | 16.2588 | 0.536328 | 0.268164 | − | 0.963373i | \(-0.413583\pi\) | ||||
0.268164 | + | 0.963373i | \(0.413583\pi\) | |||||||
\(920\) | 6.83863 | + | 11.8448i | 0.225463 | + | 0.390513i | ||||
\(921\) | 6.12327 | − | 20.2628i | 0.201768 | − | 0.667682i | ||||
\(922\) | 2.12488 | − | 3.68041i | 0.0699793 | − | 0.121208i | ||||
\(923\) | 11.4798 | + | 17.4599i | 0.377863 | + | 0.574701i | ||||
\(924\) | −7.89241e−5 | 0 | 0.000336876i | −2.59641e−6 | 0 | 1.10824e-5i | ||||
\(925\) | −3.91779 | + | 2.26194i | −0.128816 | + | 0.0743721i | ||||
\(926\) | −41.8784 | −1.37621 | ||||||||
\(927\) | 43.6667 | − | 21.6490i | 1.43420 | − | 0.711045i | ||||
\(928\) | 0.237507i | 0.00779654i | ||||||||
\(929\) | −50.0587 | + | 28.9014i | −1.64237 | + | 0.948224i | −0.662386 | + | 0.749163i | \(0.730456\pi\) |
−0.979987 | + | 0.199062i | \(0.936211\pi\) | |||||||
\(930\) | −11.0940 | − | 11.8198i | −0.363786 | − | 0.387588i | ||||
\(931\) | −36.6160 | − | 21.1403i | −1.20004 | − | 0.692845i | ||||
\(932\) | 0.0427543 | − | 0.0740527i | 0.00140046 | − | 0.00242568i | ||||
\(933\) | 36.6333 | − | 34.3836i | 1.19932 | − | 1.12567i | ||||
\(934\) | −11.5145 | + | 6.64788i | −0.376765 | + | 0.217525i | ||||
\(935\) | −17.2277 | −0.563405 | ||||||||
\(936\) | −0.162186 | + | 30.5576i | −0.00530123 | + | 0.998807i | ||||
\(937\) | 25.0975 | 0.819898 | 0.409949 | − | 0.912108i | \(-0.365546\pi\) | ||||
0.409949 | + | 0.912108i | \(0.365546\pi\) | |||||||
\(938\) | 0.135908 | − | 0.0784665i | 0.00443755 | − | 0.00256202i | ||||
\(939\) | 10.6099 | + | 45.2868i | 0.346241 | + | 1.47788i | ||||
\(940\) | 0.0243518 | − | 0.0421785i | 0.000794267 | − | 0.00137571i | ||||
\(941\) | 46.5349 | + | 26.8670i | 1.51700 | + | 0.875838i | 0.999801 | + | 0.0199705i | \(0.00635724\pi\) |
0.517195 | + | 0.855867i | \(0.326976\pi\) | |||||||
\(942\) | −11.8515 | + | 39.2183i | −0.386142 | + | 1.27780i | ||||
\(943\) | 16.7630 | − | 9.67811i | 0.545878 | − | 0.315163i | ||||
\(944\) | − | 5.52192i | − | 0.179723i | ||||||
\(945\) | −0.0379382 | − | 0.0459300i | −0.00123413 | − | 0.00149410i | ||||
\(946\) | −5.99234 | −0.194828 | ||||||||
\(947\) | 0.109296 | − | 0.0631019i | 0.00355163 | − | 0.00205054i | −0.498223 | − | 0.867049i | \(-0.666014\pi\) |
0.501775 | + | 0.864998i | \(0.332681\pi\) | |||||||
\(948\) | −0.00587669 | − | 0.00177589i | −0.000190866 | − | 5.76783e-5i | ||||
\(949\) | −3.90749 | − | 5.94299i | −0.126843 | − | 0.192918i | ||||
\(950\) | 4.27608 | − | 7.40639i | 0.138734 | − | 0.240295i | ||||
\(951\) | −52.2797 | + | 12.2482i | −1.69528 | + | 0.397176i | ||||
\(952\) | 0.0752871 | + | 0.130401i | 0.00244007 | + | 0.00422632i | ||||
\(953\) | 9.74893 | 0.315799 | 0.157899 | − | 0.987455i | \(-0.449528\pi\) | ||||
0.157899 | + | 0.987455i | \(0.449528\pi\) | |||||||
\(954\) | −10.0790 | − | 0.639208i | −0.326319 | − | 0.0206951i | ||||
\(955\) | 21.1378i | 0.684002i | ||||||||
\(956\) | 0.0606237 | − | 0.0350011i | 0.00196071 | − | 0.00113202i | ||||
\(957\) | 39.2232 | + | 41.7895i | 1.26791 | + | 1.35086i | ||||
\(958\) | 3.40326 | − | 5.89462i | 0.109954 | − | 0.190447i | ||||
\(959\) | −0.113087 | + | 0.195873i | −0.00365178 | + | 0.00632507i | ||||
\(960\) | −9.46042 | − | 10.0794i | −0.305334 | − | 0.325311i | ||||
\(961\) | 6.34739 | + | 10.9940i | 0.204754 | + | 0.354645i | ||||
\(962\) | 20.6364 | + | 10.3679i | 0.665344 | + | 0.334273i | ||||
\(963\) | −5.64397 | − | 3.75394i | −0.181874 | − | 0.120969i | ||||
\(964\) | 0.0436791i | 0.00140681i | ||||||||
\(965\) | −0.121700 | − | 0.210790i | −0.00391766 | − | 0.00678559i | ||||
\(966\) | 0.0310493 | + | 0.132529i | 0.000998994 | + | 0.00426406i | ||||
\(967\) | −16.8821 | − | 9.74690i | −0.542893 | − | 0.313439i | 0.203358 | − | 0.979104i | \(-0.434815\pi\) |
−0.746250 | + | 0.665665i | \(0.768148\pi\) | |||||||
\(968\) | −6.68482 | − | 3.85948i | −0.214858 | − | 0.124048i | ||||
\(969\) | −14.0693 | + | 46.5576i | −0.451972 | + | 1.49564i | ||||
\(970\) | 0.00574060 | − | 0.00331434i | 0.000184320 | − | 0.000106417i | ||||
\(971\) | −9.64346 | −0.309473 | −0.154737 | − | 0.987956i | \(-0.549453\pi\) | ||||
−0.154737 | + | 0.987956i | \(0.549453\pi\) | |||||||
\(972\) | 0.0669218 | + | 0.0298964i | 0.00214652 | + | 0.000958928i | ||||
\(973\) | 0.207571i | 0.00665441i | ||||||||
\(974\) | 2.59022 | + | 4.48640i | 0.0829960 | + | 0.143753i | ||||
\(975\) | −4.53074 | − | 4.29796i | −0.145100 | − | 0.137645i | ||||
\(976\) | 17.3942 | − | 30.1277i | 0.556776 | − | 0.964364i | ||||
\(977\) | −31.9311 | − | 18.4354i | −1.02157 | − | 0.589801i | −0.107009 | − | 0.994258i | \(-0.534127\pi\) |
−0.914557 | + | 0.404457i | \(0.867461\pi\) | |||||||
\(978\) | 3.92067 | + | 16.7348i | 0.125369 | + | 0.535120i | ||||
\(979\) | 6.61345 | + | 11.4548i | 0.211367 | + | 0.366098i | ||||
\(980\) | 0.0329130i | 0.00105137i | ||||||||
\(981\) | −13.8702 | + | 20.8535i | −0.442841 | + | 0.665802i | ||||
\(982\) | − | 4.66506i | − | 0.148868i | ||||||
\(983\) | −4.06226 | + | 2.34535i | −0.129566 | + | 0.0748050i | −0.563382 | − | 0.826196i | \(-0.690500\pi\) |
0.433816 | + | 0.901001i | \(0.357167\pi\) | |||||||
\(984\) | −14.2646 | + | 13.3886i | −0.454738 | + | 0.426812i | ||||
\(985\) | 9.18643 | − | 15.9114i | 0.292704 | − | 0.506978i | ||||
\(986\) | 50.9019 | + | 29.3882i | 1.62105 | + | 0.935912i | ||||
\(987\) | −0.149975 | + | 0.140765i | −0.00477375 | + | 0.00448059i | ||||
\(988\) | −0.102228 | + | 0.00593869i | −0.00325230 | + | 0.000188935i | ||||
\(989\) | 5.52925 | 0.175820 | ||||||||
\(990\) | 15.7089 | + | 0.996257i | 0.499262 | + | 0.0316631i | ||||
\(991\) | 31.0206 | 0.985402 | 0.492701 | − | 0.870199i | \(-0.336010\pi\) | ||||
0.492701 | + | 0.870199i | \(0.336010\pi\) | |||||||
\(992\) | −0.0879097 | − | 0.152264i | −0.00279113 | − | 0.00483439i | ||||
\(993\) | 48.9425 | − | 11.4664i | 1.55314 | − | 0.363874i | ||||
\(994\) | −0.0814717 | − | 0.0470377i | −0.00258412 | − | 0.00149194i | ||||
\(995\) | −11.5765 | − | 6.68368i | −0.366999 | − | 0.211887i | ||||
\(996\) | −0.0199649 | + | 0.0660668i | −0.000632612 | + | 0.00209341i | ||||
\(997\) | 0.519357 | + | 0.899552i | 0.0164482 | + | 0.0284891i | 0.874132 | − | 0.485688i | \(-0.161431\pi\) |
−0.857684 | + | 0.514177i | \(0.828097\pi\) | |||||||
\(998\) | 19.6535 | 0.622121 | ||||||||
\(999\) | −18.1236 | + | 14.9701i | −0.573404 | + | 0.473633i |
(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 | 585.2.bt.b.571.15 | yes | 108 | |
9.7 | even | 3 | inner | 585.2.bt.b.376.40 | yes | 108 | |
13.12 | even | 2 | inner | 585.2.bt.b.571.40 | yes | 108 | |
117.25 | even | 6 | inner | 585.2.bt.b.376.15 | ✓ | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
585.2.bt.b.376.15 | ✓ | 108 | 117.25 | even | 6 | inner | |
585.2.bt.b.376.40 | yes | 108 | 9.7 | even | 3 | inner | |
585.2.bt.b.571.15 | yes | 108 | 1.1 | even | 1 | trivial | |
585.2.bt.b.571.40 | yes | 108 | 13.12 | even | 2 | inner |