Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [260,2,Mod(103,260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(260, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("260.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 260 = 2^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 260.p (of order \(4\), 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: | \(2.07611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 207.5 | ||
Character | \(\chi\) | \(=\) | 260.207 |
Dual form | 260.2.p.d.103.5 |
$q$-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 \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.27985 | − | 0.601658i | −0.904988 | − | 0.425436i | ||||
\(3\) | 1.55255 | + | 1.55255i | 0.896367 | + | 0.896367i | 0.995113 | − | 0.0987456i | \(-0.0314830\pi\) |
−0.0987456 | + | 0.995113i | \(0.531483\pi\) | |||||||
\(4\) | 1.27602 | + | 1.54006i | 0.638008 | + | 0.770030i | ||||
\(5\) | 1.95736 | − | 1.08109i | 0.875356 | − | 0.483478i | ||||
\(6\) | −1.05293 | − | 2.92114i | −0.429855 | − | 1.19255i | ||||
\(7\) | 3.02953 | + | 3.02953i | 1.14505 | + | 1.14505i | 0.987513 | + | 0.157541i | \(0.0503565\pi\) |
0.157541 | + | 0.987513i | \(0.449643\pi\) | |||||||
\(8\) | −0.706517 | − | 2.73876i | −0.249792 | − | 0.968300i | ||||
\(9\) | 1.82084i | 0.606948i | ||||||||
\(10\) | −3.15556 | + | 0.205972i | −0.997877 | + | 0.0651340i | ||||
\(11\) | −4.00418 | −1.20731 | −0.603653 | − | 0.797247i | \(-0.706289\pi\) | ||||
−0.603653 | + | 0.797247i | \(0.706289\pi\) | |||||||
\(12\) | −0.409941 | + | 4.37211i | −0.118340 | + | 1.26212i | ||||
\(13\) | −0.933659 | − | 3.48257i | −0.258951 | − | 0.965891i | ||||
\(14\) | −2.05459 | − | 5.70007i | −0.549113 | − | 1.52341i | ||||
\(15\) | 4.71735 | + | 1.36045i | 1.21801 | + | 0.351267i | ||||
\(16\) | −0.743565 | + | 3.93028i | −0.185891 | + | 0.982570i | ||||
\(17\) | −0.753955 | − | 0.753955i | −0.182861 | − | 0.182861i | 0.609740 | − | 0.792601i | \(-0.291274\pi\) |
−0.792601 | + | 0.609740i | \(0.791274\pi\) | |||||||
\(18\) | 1.09552 | − | 2.33040i | 0.258218 | − | 0.549281i | ||||
\(19\) | 4.01929i | 0.922088i | 0.887377 | + | 0.461044i | \(0.152525\pi\) | ||||
−0.887377 | + | 0.461044i | \(0.847475\pi\) | |||||||
\(20\) | 4.16256 | + | 1.63496i | 0.930777 | + | 0.365587i | ||||
\(21\) | 9.40700i | 2.05278i | ||||||||
\(22\) | 5.12474 | + | 2.40915i | 1.09260 | + | 0.513632i | ||||
\(23\) | −3.75800 | − | 3.75800i | −0.783597 | − | 0.783597i | 0.196839 | − | 0.980436i | \(-0.436932\pi\) |
−0.980436 | + | 0.196839i | \(0.936932\pi\) | |||||||
\(24\) | 3.15517 | − | 5.34898i | 0.644047 | − | 1.09186i | ||||
\(25\) | 2.66249 | − | 4.23216i | 0.532498 | − | 0.846432i | ||||
\(26\) | −0.900372 | + | 5.01890i | −0.176578 | + | 0.984287i | ||||
\(27\) | 1.83070 | − | 1.83070i | 0.352319 | − | 0.352319i | ||||
\(28\) | −0.799924 | + | 8.53137i | −0.151172 | + | 1.61228i | ||||
\(29\) | 6.60247i | 1.22605i | 0.790064 | + | 0.613024i | \(0.210047\pi\) | ||||
−0.790064 | + | 0.613024i | \(0.789953\pi\) | |||||||
\(30\) | −5.21896 | − | 4.57940i | −0.952848 | − | 0.836080i | ||||
\(31\) | 2.35636 | 0.423214 | 0.211607 | − | 0.977355i | \(-0.432130\pi\) | ||||
0.211607 | + | 0.977355i | \(0.432130\pi\) | |||||||
\(32\) | 3.31633 | − | 4.58279i | 0.586250 | − | 0.810130i | ||||
\(33\) | −6.21670 | − | 6.21670i | −1.08219 | − | 1.08219i | ||||
\(34\) | 0.511324 | + | 1.41857i | 0.0876914 | + | 0.243283i | ||||
\(35\) | 9.20505 | + | 2.65467i | 1.55594 | + | 0.448721i | ||||
\(36\) | −2.80421 | + | 2.32343i | −0.467368 | + | 0.387238i | ||||
\(37\) | −0.454487 | + | 0.454487i | −0.0747172 | + | 0.0747172i | −0.743478 | − | 0.668761i | \(-0.766825\pi\) |
0.668761 | + | 0.743478i | \(0.266825\pi\) | |||||||
\(38\) | 2.41824 | − | 5.14408i | 0.392290 | − | 0.834479i | ||||
\(39\) | 3.95732 | − | 6.85643i | 0.633678 | − | 1.09791i | ||||
\(40\) | −4.34376 | − | 4.59693i | −0.686808 | − | 0.726838i | ||||
\(41\) | − | 5.01258i | − | 0.782834i | −0.920213 | − | 0.391417i | \(-0.871985\pi\) | ||
0.920213 | − | 0.391417i | \(-0.128015\pi\) | |||||||
\(42\) | 5.65979 | − | 12.0395i | 0.873325 | − | 1.85774i | ||||
\(43\) | −4.32686 | − | 4.32686i | −0.659840 | − | 0.659840i | 0.295502 | − | 0.955342i | \(-0.404513\pi\) |
−0.955342 | + | 0.295502i | \(0.904513\pi\) | |||||||
\(44\) | −5.10940 | − | 6.16667i | −0.770271 | − | 0.929661i | ||||
\(45\) | 1.96850 | + | 3.56404i | 0.293446 | + | 0.531296i | ||||
\(46\) | 2.54863 | + | 7.07069i | 0.375776 | + | 1.04252i | ||||
\(47\) | 3.87211 | + | 3.87211i | 0.564805 | + | 0.564805i | 0.930669 | − | 0.365864i | \(-0.119226\pi\) |
−0.365864 | + | 0.930669i | \(0.619226\pi\) | |||||||
\(48\) | −7.25639 | + | 4.94755i | −1.04737 | + | 0.714117i | ||||
\(49\) | 11.3561i | 1.62229i | ||||||||
\(50\) | −5.95389 | + | 3.81461i | −0.842007 | + | 0.539467i | ||||
\(51\) | − | 2.34111i | − | 0.327821i | ||||||
\(52\) | 4.17200 | − | 5.88170i | 0.578552 | − | 0.815646i | ||||
\(53\) | 1.34709 | − | 1.34709i | 0.185037 | − | 0.185037i | −0.608509 | − | 0.793547i | \(-0.708232\pi\) |
0.793547 | + | 0.608509i | \(0.208232\pi\) | |||||||
\(54\) | −3.44448 | + | 1.24156i | −0.468734 | + | 0.168955i | ||||
\(55\) | −7.83761 | + | 4.32888i | −1.05682 | + | 0.583706i | ||||
\(56\) | 6.15675 | − | 10.4376i | 0.822730 | − | 1.39478i | ||||
\(57\) | −6.24016 | + | 6.24016i | −0.826530 | + | 0.826530i | ||||
\(58\) | 3.97243 | − | 8.45015i | 0.521605 | − | 1.10956i | ||||
\(59\) | − | 0.838004i | − | 0.109099i | −0.998511 | − | 0.0545494i | \(-0.982628\pi\) | ||
0.998511 | − | 0.0545494i | \(-0.0173722\pi\) | |||||||
\(60\) | 3.92424 | + | 9.00095i | 0.506618 | + | 1.16202i | ||||
\(61\) | −13.3586 | −1.71039 | −0.855194 | − | 0.518309i | \(-0.826562\pi\) | ||||
−0.855194 | + | 0.518309i | \(0.826562\pi\) | |||||||
\(62\) | −3.01578 | − | 1.41772i | −0.383004 | − | 0.180051i | ||||
\(63\) | −5.51629 | + | 5.51629i | −0.694987 | + | 0.694987i | ||||
\(64\) | −7.00167 | + | 3.86997i | −0.875208 | + | 0.483746i | ||||
\(65\) | −5.59247 | − | 5.80726i | −0.693661 | − | 0.720302i | ||||
\(66\) | 4.21610 | + | 11.6968i | 0.518966 | + | 1.43977i | ||||
\(67\) | −3.69649 | − | 3.69649i | −0.451599 | − | 0.451599i | 0.444286 | − | 0.895885i | \(-0.353457\pi\) |
−0.895885 | + | 0.444286i | \(0.853457\pi\) | |||||||
\(68\) | 0.199076 | − | 2.12319i | 0.0241416 | − | 0.257475i | ||||
\(69\) | − | 11.6690i | − | 1.40478i | ||||||
\(70\) | −10.1839 | − | 8.93586i | −1.21720 | − | 1.06804i | ||||
\(71\) | −14.6839 | −1.74266 | −0.871331 | − | 0.490696i | \(-0.836743\pi\) | ||||
−0.871331 | + | 0.490696i | \(0.836743\pi\) | |||||||
\(72\) | 4.98686 | − | 1.28646i | 0.587707 | − | 0.151610i | ||||
\(73\) | 5.33956 | + | 5.33956i | 0.624948 | + | 0.624948i | 0.946793 | − | 0.321844i | \(-0.104303\pi\) |
−0.321844 | + | 0.946793i | \(0.604303\pi\) | |||||||
\(74\) | 0.855119 | − | 0.308228i | 0.0994056 | − | 0.0358308i | ||||
\(75\) | 10.7043 | − | 2.43700i | 1.23603 | − | 0.281400i | ||||
\(76\) | −6.18994 | + | 5.12868i | −0.710035 | + | 0.588300i | ||||
\(77\) | −12.1308 | − | 12.1308i | −1.38243 | − | 1.38243i | ||||
\(78\) | −9.18998 | + | 6.39423i | −1.04056 | + | 0.724004i | ||||
\(79\) | −3.43974 | −0.387000 | −0.193500 | − | 0.981100i | \(-0.561984\pi\) | ||||
−0.193500 | + | 0.981100i | \(0.561984\pi\) | |||||||
\(80\) | 2.79357 | + | 8.49682i | 0.312330 | + | 0.949974i | ||||
\(81\) | 11.1471 | 1.23856 | ||||||||
\(82\) | −3.01586 | + | 6.41534i | −0.333046 | + | 0.708455i | ||||
\(83\) | 4.47418 | − | 4.47418i | 0.491105 | − | 0.491105i | −0.417549 | − | 0.908654i | \(-0.637111\pi\) |
0.908654 | + | 0.417549i | \(0.137111\pi\) | |||||||
\(84\) | −14.4873 | + | 12.0035i | −1.58070 | + | 1.30969i | ||||
\(85\) | −2.29085 | − | 0.660665i | −0.248478 | − | 0.0716592i | ||||
\(86\) | 2.93443 | + | 8.14100i | 0.316428 | + | 0.877867i | ||||
\(87\) | −10.2507 | + | 10.2507i | −1.09899 | + | 1.09899i | ||||
\(88\) | 2.82902 | + | 10.9665i | 0.301575 | + | 1.16903i | ||||
\(89\) | 6.30698 | 0.668539 | 0.334269 | − | 0.942478i | \(-0.391511\pi\) | ||||
0.334269 | + | 0.942478i | \(0.391511\pi\) | |||||||
\(90\) | −0.375042 | − | 5.74579i | −0.0395329 | − | 0.605659i | ||||
\(91\) | 7.72198 | − | 13.3791i | 0.809484 | − | 1.40251i | ||||
\(92\) | 0.992272 | − | 10.5828i | 0.103452 | − | 1.10333i | ||||
\(93\) | 3.65837 | + | 3.65837i | 0.379355 | + | 0.379355i | ||||
\(94\) | −2.62602 | − | 7.28539i | −0.270854 | − | 0.751430i | ||||
\(95\) | 4.34522 | + | 7.86718i | 0.445810 | + | 0.807156i | ||||
\(96\) | 12.2638 | − | 1.96624i | 1.25167 | − | 0.200678i | ||||
\(97\) | 9.64616 | − | 9.64616i | 0.979420 | − | 0.979420i | −0.0203728 | − | 0.999792i | \(-0.506485\pi\) |
0.999792 | + | 0.0203728i | \(0.00648531\pi\) | |||||||
\(98\) | 6.83245 | − | 14.5340i | 0.690182 | − | 1.46816i | ||||
\(99\) | − | 7.29099i | − | 0.732772i | ||||||
\(100\) | 9.91515 | − | 1.29991i | 0.991515 | − | 0.129991i | ||||
\(101\) | 10.3409 | 1.02896 | 0.514479 | − | 0.857503i | \(-0.327985\pi\) | ||||
0.514479 | + | 0.857503i | \(0.327985\pi\) | |||||||
\(102\) | −1.40855 | + | 2.99626i | −0.139467 | + | 0.296674i | ||||
\(103\) | −3.33400 | − | 3.33400i | −0.328509 | − | 0.328509i | 0.523511 | − | 0.852019i | \(-0.324622\pi\) |
−0.852019 | + | 0.523511i | \(0.824622\pi\) | |||||||
\(104\) | −8.87829 | + | 5.01757i | −0.870588 | + | 0.492013i | ||||
\(105\) | 10.1698 | + | 18.4129i | 0.992472 | + | 1.79691i | ||||
\(106\) | −2.53456 | + | 0.913583i | −0.246178 | + | 0.0887350i | ||||
\(107\) | −7.78916 | + | 7.78916i | −0.753007 | + | 0.753007i | −0.975039 | − | 0.222033i | \(-0.928731\pi\) |
0.222033 | + | 0.975039i | \(0.428731\pi\) | |||||||
\(108\) | 5.15540 | + | 0.483384i | 0.496078 | + | 0.0465137i | ||||
\(109\) | 3.16760 | 0.303401 | 0.151701 | − | 0.988426i | \(-0.451525\pi\) | ||||
0.151701 | + | 0.988426i | \(0.451525\pi\) | |||||||
\(110\) | 12.6354 | − | 0.824748i | 1.20474 | − | 0.0786367i | ||||
\(111\) | −1.41123 | −0.133948 | ||||||||
\(112\) | −14.1595 | + | 9.65424i | −1.33795 | + | 0.912240i | ||||
\(113\) | 9.75845 | − | 9.75845i | 0.917997 | − | 0.917997i | −0.0788863 | − | 0.996884i | \(-0.525136\pi\) |
0.996884 | + | 0.0788863i | \(0.0251364\pi\) | |||||||
\(114\) | 11.7409 | − | 4.23201i | 1.09964 | − | 0.396364i | ||||
\(115\) | −11.4185 | − | 3.29301i | −1.06478 | − | 0.307074i | ||||
\(116\) | −10.1682 | + | 8.42486i | −0.944094 | + | 0.782229i | ||||
\(117\) | 6.34121 | − | 1.70005i | 0.586245 | − | 0.157169i | ||||
\(118\) | −0.504192 | + | 1.07252i | −0.0464146 | + | 0.0987332i | ||||
\(119\) | − | 4.56825i | − | 0.418771i | ||||||
\(120\) | 0.393062 | − | 13.8809i | 0.0358815 | − | 1.26715i | ||||
\(121\) | 5.03346 | 0.457587 | ||||||||
\(122\) | 17.0969 | + | 8.03727i | 1.54788 | + | 0.727661i | ||||
\(123\) | 7.78230 | − | 7.78230i | 0.701706 | − | 0.701706i | ||||
\(124\) | 3.00675 | + | 3.62893i | 0.270014 | + | 0.325887i | ||||
\(125\) | 0.636093 | − | 11.1622i | 0.0568939 | − | 0.998380i | ||||
\(126\) | 10.3789 | − | 3.74109i | 0.924628 | − | 0.333283i | ||||
\(127\) | 1.79629 | − | 1.79629i | 0.159395 | − | 0.159395i | −0.622904 | − | 0.782299i | \(-0.714047\pi\) |
0.782299 | + | 0.622904i | \(0.214047\pi\) | |||||||
\(128\) | 11.2895 | − | 0.740364i | 0.997857 | − | 0.0654395i | ||||
\(129\) | − | 13.4354i | − | 1.18292i | ||||||
\(130\) | 3.66353 | + | 10.7972i | 0.321313 | + | 0.946973i | ||||
\(131\) | − | 1.17643i | − | 0.102785i | −0.998679 | − | 0.0513926i | \(-0.983634\pi\) | ||
0.998679 | − | 0.0513926i | \(-0.0163660\pi\) | |||||||
\(132\) | 1.64148 | − | 17.5067i | 0.142872 | − | 1.52376i | ||||
\(133\) | −12.1765 | + | 12.1765i | −1.05584 | + | 1.05584i | ||||
\(134\) | 2.50692 | + | 6.95497i | 0.216565 | + | 0.600818i | ||||
\(135\) | 1.60418 | − | 5.56249i | 0.138066 | − | 0.478743i | ||||
\(136\) | −1.53222 | + | 2.59759i | −0.131387 | + | 0.222741i | ||||
\(137\) | 0.262389 | − | 0.262389i | 0.0224174 | − | 0.0224174i | −0.695809 | − | 0.718227i | \(-0.744954\pi\) |
0.718227 | + | 0.695809i | \(0.244954\pi\) | |||||||
\(138\) | −7.02073 | + | 14.9345i | −0.597645 | + | 1.27131i | ||||
\(139\) | −6.48837 | −0.550336 | −0.275168 | − | 0.961396i | \(-0.588734\pi\) | ||||
−0.275168 | + | 0.961396i | \(0.588734\pi\) | |||||||
\(140\) | 7.65745 | + | 17.5637i | 0.647172 | + | 1.48441i | ||||
\(141\) | 12.0233i | 1.01255i | ||||||||
\(142\) | 18.7932 | + | 8.83470i | 1.57709 | + | 0.741391i | ||||
\(143\) | 3.73854 | + | 13.9448i | 0.312632 | + | 1.16613i | ||||
\(144\) | −7.15643 | − | 1.35391i | −0.596369 | − | 0.112826i | ||||
\(145\) | 7.13787 | + | 12.9234i | 0.592768 | + | 1.07323i | ||||
\(146\) | −3.62123 | − | 10.0464i | −0.299695 | − | 0.831447i | ||||
\(147\) | −17.6309 | + | 17.6309i | −1.45417 | + | 1.45417i | ||||
\(148\) | −1.27987 | − | 0.120004i | −0.105205 | − | 0.00986427i | ||||
\(149\) | −23.2293 | −1.90302 | −0.951510 | − | 0.307617i | \(-0.900468\pi\) | ||||
−0.951510 | + | 0.307617i | \(0.900468\pi\) | |||||||
\(150\) | −15.1661 | − | 3.32134i | −1.23831 | − | 0.271187i | ||||
\(151\) | −6.61940 | −0.538679 | −0.269340 | − | 0.963045i | \(-0.586805\pi\) | ||||
−0.269340 | + | 0.963045i | \(0.586805\pi\) | |||||||
\(152\) | 11.0079 | − | 2.83970i | 0.892858 | − | 0.230330i | ||||
\(153\) | 1.37283 | − | 1.37283i | 0.110987 | − | 0.110987i | ||||
\(154\) | 8.22696 | + | 22.8241i | 0.662947 | + | 1.83922i | ||||
\(155\) | 4.61223 | − | 2.54743i | 0.370463 | − | 0.204615i | ||||
\(156\) | 15.6089 | − | 2.65441i | 1.24971 | − | 0.212523i | ||||
\(157\) | 5.35400 | + | 5.35400i | 0.427296 | + | 0.427296i | 0.887706 | − | 0.460410i | \(-0.152298\pi\) |
−0.460410 | + | 0.887706i | \(0.652298\pi\) | |||||||
\(158\) | 4.40233 | + | 2.06954i | 0.350231 | + | 0.164644i | ||||
\(159\) | 4.18286 | 0.331723 | ||||||||
\(160\) | 1.53684 | − | 12.5554i | 0.121498 | − | 0.992592i | ||||
\(161\) | − | 22.7699i | − | 1.79452i | ||||||
\(162\) | −14.2665 | − | 6.70671i | −1.12088 | − | 0.526929i | ||||
\(163\) | 7.39919 | − | 7.39919i | 0.579549 | − | 0.579549i | −0.355230 | − | 0.934779i | \(-0.615597\pi\) |
0.934779 | + | 0.355230i | \(0.115597\pi\) | |||||||
\(164\) | 7.71967 | − | 6.39614i | 0.602805 | − | 0.499454i | ||||
\(165\) | −18.8891 | − | 5.44749i | −1.47052 | − | 0.424086i | ||||
\(166\) | −8.41820 | + | 3.03434i | −0.653379 | + | 0.235511i | ||||
\(167\) | 4.82745 | + | 4.82745i | 0.373559 | + | 0.373559i | 0.868772 | − | 0.495213i | \(-0.164910\pi\) |
−0.495213 | + | 0.868772i | \(0.664910\pi\) | |||||||
\(168\) | 25.7636 | − | 6.64621i | 1.98770 | − | 0.512766i | ||||
\(169\) | −11.2566 | + | 6.50306i | −0.865889 | + | 0.500236i | ||||
\(170\) | 2.53444 | + | 2.22386i | 0.194383 | + | 0.170562i | ||||
\(171\) | −7.31850 | −0.559660 | ||||||||
\(172\) | 1.14248 | − | 12.1848i | 0.0871130 | − | 0.929079i | ||||
\(173\) | −10.9705 | + | 10.9705i | −0.834069 | + | 0.834069i | −0.988071 | − | 0.154002i | \(-0.950784\pi\) |
0.154002 | + | 0.988071i | \(0.450784\pi\) | |||||||
\(174\) | 19.2867 | − | 6.95191i | 1.46212 | − | 0.527023i | ||||
\(175\) | 20.8875 | − | 4.75536i | 1.57895 | − | 0.359471i | ||||
\(176\) | 2.97737 | − | 15.7376i | 0.224427 | − | 1.18626i | ||||
\(177\) | 1.30105 | − | 1.30105i | 0.0977926 | − | 0.0977926i | ||||
\(178\) | −8.07197 | − | 3.79464i | −0.605020 | − | 0.284420i | ||||
\(179\) | 6.92372 | 0.517503 | 0.258752 | − | 0.965944i | \(-0.416689\pi\) | ||||
0.258752 | + | 0.965944i | \(0.416689\pi\) | |||||||
\(180\) | −2.97700 | + | 7.57937i | −0.221892 | + | 0.564933i | ||||
\(181\) | 10.6066 | 0.788380 | 0.394190 | − | 0.919029i | \(-0.371025\pi\) | ||||
0.394190 | + | 0.919029i | \(0.371025\pi\) | |||||||
\(182\) | −17.9326 | + | 12.4772i | −1.32925 | + | 0.924870i | ||||
\(183\) | −20.7399 | − | 20.7399i | −1.53313 | − | 1.53313i | ||||
\(184\) | −7.63718 | + | 12.9474i | −0.563021 | + | 0.954492i | ||||
\(185\) | −0.398251 | + | 1.38093i | −0.0292800 | + | 0.101528i | ||||
\(186\) | −2.48107 | − | 6.88324i | −0.181921 | − | 0.504704i | ||||
\(187\) | 3.01897 | + | 3.01897i | 0.220769 | + | 0.220769i | ||||
\(188\) | −1.02240 | + | 10.9041i | −0.0745663 | + | 0.795267i | ||||
\(189\) | 11.0923 | 0.806848 | ||||||||
\(190\) | −0.827860 | − | 12.6831i | −0.0600593 | − | 0.920130i | ||||
\(191\) | 20.7585i | 1.50203i | 0.660283 | + | 0.751017i | \(0.270436\pi\) | ||||
−0.660283 | + | 0.751017i | \(0.729564\pi\) | |||||||
\(192\) | −16.8788 | − | 4.86213i | −1.21812 | − | 0.350894i | ||||
\(193\) | 3.53956 | + | 3.53956i | 0.254783 | + | 0.254783i | 0.822928 | − | 0.568145i | \(-0.192339\pi\) |
−0.568145 | + | 0.822928i | \(0.692339\pi\) | |||||||
\(194\) | −18.1493 | + | 6.54193i | −1.30304 | + | 0.469683i | ||||
\(195\) | 0.333461 | − | 17.6987i | 0.0238796 | − | 1.26743i | ||||
\(196\) | −17.4890 | + | 14.4905i | −1.24921 | + | 1.03504i | ||||
\(197\) | −17.5499 | + | 17.5499i | −1.25038 | + | 1.25038i | −0.294832 | + | 0.955549i | \(0.595264\pi\) |
−0.955549 | + | 0.294832i | \(0.904736\pi\) | |||||||
\(198\) | −4.38668 | + | 9.33135i | −0.311748 | + | 0.663150i | ||||
\(199\) | 19.1741 | 1.35922 | 0.679608 | − | 0.733575i | \(-0.262150\pi\) | ||||
0.679608 | + | 0.733575i | \(0.262150\pi\) | |||||||
\(200\) | −13.4720 | − | 4.30184i | −0.952613 | − | 0.304186i | ||||
\(201\) | − | 11.4780i | − | 0.809596i | ||||||
\(202\) | −13.2348 | − | 6.22169i | −0.931196 | − | 0.437756i | ||||
\(203\) | −20.0024 | + | 20.0024i | −1.40389 | + | 1.40389i | ||||
\(204\) | 3.60545 | − | 2.98729i | 0.252432 | − | 0.209152i | ||||
\(205\) | −5.41905 | − | 9.81141i | −0.378483 | − | 0.685258i | ||||
\(206\) | 2.26108 | + | 6.27293i | 0.157537 | + | 0.437056i | ||||
\(207\) | 6.84273 | − | 6.84273i | 0.475602 | − | 0.475602i | ||||
\(208\) | 14.3817 | − | 1.08003i | 0.997192 | − | 0.0748866i | ||||
\(209\) | − | 16.0940i | − | 1.11324i | ||||||
\(210\) | −1.93758 | − | 29.6844i | −0.133705 | − | 2.04842i | ||||
\(211\) | 20.6999i | 1.42504i | 0.701653 | + | 0.712519i | \(0.252446\pi\) | ||||
−0.701653 | + | 0.712519i | \(0.747554\pi\) | |||||||
\(212\) | 3.79351 | + | 0.355690i | 0.260539 | + | 0.0244289i | ||||
\(213\) | −22.7976 | − | 22.7976i | −1.56206 | − | 1.56206i | ||||
\(214\) | 14.6553 | − | 5.28253i | 1.00182 | − | 0.361106i | ||||
\(215\) | −13.1469 | − | 3.79148i | −0.896613 | − | 0.258577i | ||||
\(216\) | −6.30729 | − | 3.72044i | −0.429157 | − | 0.253144i | ||||
\(217\) | 7.13864 | + | 7.13864i | 0.484603 | + | 0.484603i | ||||
\(218\) | −4.05405 | − | 1.90581i | −0.274575 | − | 0.129078i | ||||
\(219\) | 16.5799i | 1.12037i | ||||||||
\(220\) | −16.6676 | − | 6.54666i | −1.12373 | − | 0.441376i | ||||
\(221\) | −1.92176 | + | 3.32964i | −0.129272 | + | 0.223976i | ||||
\(222\) | 1.80616 | + | 0.849077i | 0.121221 | + | 0.0569863i | ||||
\(223\) | −5.91543 | + | 5.91543i | −0.396126 | + | 0.396126i | −0.876864 | − | 0.480738i | \(-0.840369\pi\) |
0.480738 | + | 0.876864i | \(0.340369\pi\) | |||||||
\(224\) | 23.9306 | − | 3.83676i | 1.59893 | − | 0.256354i | ||||
\(225\) | 7.70610 | + | 4.84797i | 0.513740 | + | 0.323198i | ||||
\(226\) | −18.3606 | + | 6.61807i | −1.22133 | + | 0.440228i | ||||
\(227\) | −0.579078 | − | 0.579078i | −0.0384347 | − | 0.0384347i | 0.687628 | − | 0.726063i | \(-0.258652\pi\) |
−0.726063 | + | 0.687628i | \(0.758652\pi\) | |||||||
\(228\) | −17.5728 | − | 1.64767i | −1.16378 | − | 0.109120i | ||||
\(229\) | 5.64962 | 0.373337 | 0.186669 | − | 0.982423i | \(-0.440231\pi\) | ||||
0.186669 | + | 0.982423i | \(0.440231\pi\) | |||||||
\(230\) | 12.6326 | + | 11.0846i | 0.832972 | + | 0.730894i | ||||
\(231\) | − | 37.6673i | − | 2.47833i | ||||||
\(232\) | 18.0826 | − | 4.66476i | 1.18718 | − | 0.306257i | ||||
\(233\) | −5.44699 | + | 5.44699i | −0.356844 | + | 0.356844i | −0.862648 | − | 0.505804i | \(-0.831196\pi\) |
0.505804 | + | 0.862648i | \(0.331196\pi\) | |||||||
\(234\) | −9.13863 | − | 1.63944i | −0.597411 | − | 0.107173i | ||||
\(235\) | 11.7652 | + | 3.39300i | 0.767477 | + | 0.221335i | ||||
\(236\) | 1.29058 | − | 1.06931i | 0.0840093 | − | 0.0696060i | ||||
\(237\) | −5.34037 | − | 5.34037i | −0.346894 | − | 0.346894i | ||||
\(238\) | −2.74852 | + | 5.84666i | −0.178160 | + | 0.378983i | ||||
\(239\) | − | 1.73850i | − | 0.112454i | −0.998418 | − | 0.0562272i | \(-0.982093\pi\) | ||
0.998418 | − | 0.0562272i | \(-0.0179071\pi\) | |||||||
\(240\) | −8.85460 | + | 17.5289i | −0.571562 | + | 1.13149i | ||||
\(241\) | 1.91871i | 0.123595i | 0.998089 | + | 0.0617976i | \(0.0196833\pi\) | ||||
−0.998089 | + | 0.0617976i | \(0.980317\pi\) | |||||||
\(242\) | −6.44206 | − | 3.02842i | −0.414111 | − | 0.194674i | ||||
\(243\) | 11.8143 | + | 11.8143i | 0.757887 | + | 0.757887i | ||||
\(244\) | −17.0457 | − | 20.5730i | −1.09124 | − | 1.31705i | ||||
\(245\) | 12.2769 | + | 22.2278i | 0.784343 | + | 1.42008i | ||||
\(246\) | −14.6424 | + | 5.27787i | −0.933567 | + | 0.336505i | ||||
\(247\) | 13.9975 | − | 3.75265i | 0.890636 | − | 0.238775i | ||||
\(248\) | −1.66481 | − | 6.45351i | −0.105715 | − | 0.409798i | ||||
\(249\) | 13.8928 | 0.880421 | ||||||||
\(250\) | −7.52994 | + | 13.9032i | −0.476235 | + | 0.879318i | ||||
\(251\) | − | 28.0828i | − | 1.77257i | −0.463139 | − | 0.886285i | \(-0.653277\pi\) | ||
0.463139 | − | 0.886285i | \(-0.346723\pi\) | |||||||
\(252\) | −15.5343 | − | 1.45654i | −0.978569 | − | 0.0917532i | ||||
\(253\) | 15.0477 | + | 15.0477i | 0.946041 | + | 0.946041i | ||||
\(254\) | −3.37973 | + | 1.21823i | −0.212063 | + | 0.0764383i | ||||
\(255\) | −2.53095 | − | 4.58239i | −0.158494 | − | 0.286960i | ||||
\(256\) | −14.8942 | − | 5.84484i | −0.930889 | − | 0.365302i | ||||
\(257\) | 13.3998 | + | 13.3998i | 0.835854 | + | 0.835854i | 0.988310 | − | 0.152456i | \(-0.0487183\pi\) |
−0.152456 | + | 0.988310i | \(0.548718\pi\) | |||||||
\(258\) | −8.08348 | + | 17.1952i | −0.503256 | + | 1.07053i | ||||
\(259\) | −2.75376 | −0.171110 | ||||||||
\(260\) | 1.80743 | − | 16.0229i | 0.112092 | − | 0.993698i | ||||
\(261\) | −12.0221 | −0.744147 | ||||||||
\(262\) | −0.707809 | + | 1.50565i | −0.0437286 | + | 0.0930195i | ||||
\(263\) | 5.22835 | + | 5.22835i | 0.322394 | + | 0.322394i | 0.849685 | − | 0.527291i | \(-0.176792\pi\) |
−0.527291 | + | 0.849685i | \(0.676792\pi\) | |||||||
\(264\) | −12.6339 | + | 21.4183i | −0.777562 | + | 1.31821i | ||||
\(265\) | 1.18041 | − | 4.09307i | 0.0725121 | − | 0.251435i | ||||
\(266\) | 22.9102 | − | 8.25800i | 1.40472 | − | 0.506331i | ||||
\(267\) | 9.79192 | + | 9.79192i | 0.599256 | + | 0.599256i | ||||
\(268\) | 0.976032 | − | 10.4096i | 0.0596207 | − | 0.635868i | ||||
\(269\) | 5.29424i | 0.322796i | 0.986889 | + | 0.161398i | \(0.0516002\pi\) | ||||
−0.986889 | + | 0.161398i | \(0.948400\pi\) | |||||||
\(270\) | −5.39983 | + | 6.15397i | −0.328623 | + | 0.374519i | ||||
\(271\) | 20.2679 | 1.23119 | 0.615594 | − | 0.788063i | \(-0.288916\pi\) | ||||
0.615594 | + | 0.788063i | \(0.288916\pi\) | |||||||
\(272\) | 3.52387 | − | 2.40264i | 0.213666 | − | 0.145681i | ||||
\(273\) | 32.7605 | − | 8.78293i | 1.98276 | − | 0.531567i | ||||
\(274\) | −0.493686 | + | 0.177949i | −0.0298246 | + | 0.0107503i | ||||
\(275\) | −10.6611 | + | 16.9463i | −0.642887 | + | 1.02190i | ||||
\(276\) | 17.9709 | − | 14.8898i | 1.08172 | − | 0.896262i | ||||
\(277\) | −16.0235 | − | 16.0235i | −0.962759 | − | 0.962759i | 0.0365721 | − | 0.999331i | \(-0.488356\pi\) |
−0.999331 | + | 0.0365721i | \(0.988356\pi\) | |||||||
\(278\) | 8.30412 | + | 3.90378i | 0.498048 | + | 0.234133i | ||||
\(279\) | 4.29056i | 0.256869i | ||||||||
\(280\) | 0.766990 | − | 27.0860i | 0.0458364 | − | 1.61870i | ||||
\(281\) | 15.1928i | 0.906329i | 0.891427 | + | 0.453164i | \(0.149705\pi\) | ||||
−0.891427 | + | 0.453164i | \(0.850295\pi\) | |||||||
\(282\) | 7.23391 | − | 15.3880i | 0.430773 | − | 0.916342i | ||||
\(283\) | −13.4327 | − | 13.4327i | −0.798488 | − | 0.798488i | 0.184369 | − | 0.982857i | \(-0.440976\pi\) |
−0.982857 | + | 0.184369i | \(0.940976\pi\) | |||||||
\(284\) | −18.7369 | − | 22.6141i | −1.11183 | − | 1.34190i | ||||
\(285\) | −5.46804 | + | 18.9604i | −0.323899 | + | 1.12312i | ||||
\(286\) | 3.60525 | − | 20.0966i | 0.213183 | − | 1.18834i | ||||
\(287\) | 15.1857 | − | 15.1857i | 0.896386 | − | 0.896386i | ||||
\(288\) | 8.34454 | + | 6.03852i | 0.491707 | + | 0.355823i | ||||
\(289\) | − | 15.8631i | − | 0.933124i | ||||||
\(290\) | −1.35992 | − | 20.8345i | −0.0798574 | − | 1.22344i | ||||
\(291\) | 29.9524 | 1.75584 | ||||||||
\(292\) | −1.40987 | + | 15.0366i | −0.0825065 | + | 0.879951i | ||||
\(293\) | 8.51447 | + | 8.51447i | 0.497421 | + | 0.497421i | 0.910634 | − | 0.413213i | \(-0.135594\pi\) |
−0.413213 | + | 0.910634i | \(0.635594\pi\) | |||||||
\(294\) | 33.1726 | − | 11.9571i | 1.93466 | − | 0.697351i | ||||
\(295\) | −0.905958 | − | 1.64027i | −0.0527469 | − | 0.0955004i | ||||
\(296\) | 1.56584 | + | 0.923630i | 0.0910123 | + | 0.0536849i | ||||
\(297\) | −7.33047 | + | 7.33047i | −0.425357 | + | 0.425357i | ||||
\(298\) | 29.7300 | + | 13.9761i | 1.72221 | + | 0.809614i | ||||
\(299\) | −9.57880 | + | 16.5962i | −0.553956 | + | 0.959782i | ||||
\(300\) | 17.4120 | + | 13.3756i | 1.00528 | + | 0.772242i | ||||
\(301\) | − | 26.2167i | − | 1.51110i | ||||||
\(302\) | 8.47182 | + | 3.98261i | 0.487499 | + | 0.229174i | ||||
\(303\) | 16.0548 | + | 16.0548i | 0.922325 | + | 0.922325i | ||||
\(304\) | −15.7969 | − | 2.98860i | −0.906017 | − | 0.171408i | ||||
\(305\) | −26.1474 | + | 14.4418i | −1.49720 | + | 0.826935i | ||||
\(306\) | −2.58299 | + | 0.931041i | −0.147660 | + | 0.0532241i | ||||
\(307\) | −6.65969 | − | 6.65969i | −0.380088 | − | 0.380088i | 0.491045 | − | 0.871134i | \(-0.336615\pi\) |
−0.871134 | + | 0.491045i | \(0.836615\pi\) | |||||||
\(308\) | 3.20304 | − | 34.1612i | 0.182510 | − | 1.94651i | ||||
\(309\) | − | 10.3524i | − | 0.588929i | ||||||
\(310\) | −7.43563 | + | 0.485343i | −0.422316 | + | 0.0275656i | ||||
\(311\) | 18.3677i | 1.04154i | 0.853698 | + | 0.520768i | \(0.174354\pi\) | ||||
−0.853698 | + | 0.520768i | \(0.825646\pi\) | |||||||
\(312\) | −21.5741 | − | 5.99397i | −1.22139 | − | 0.339342i | ||||
\(313\) | −1.25695 | + | 1.25695i | −0.0710469 | + | 0.0710469i | −0.741737 | − | 0.670690i | \(-0.765998\pi\) |
0.670690 | + | 0.741737i | \(0.265998\pi\) | |||||||
\(314\) | −3.63103 | − | 10.0736i | −0.204911 | − | 0.568485i | ||||
\(315\) | −4.83374 | + | 16.7610i | −0.272350 | + | 0.944373i | ||||
\(316\) | −4.38916 | − | 5.29740i | −0.246909 | − | 0.298002i | ||||
\(317\) | 0.304766 | − | 0.304766i | 0.0171174 | − | 0.0171174i | −0.698496 | − | 0.715614i | \(-0.746147\pi\) |
0.715614 | + | 0.698496i | \(0.246147\pi\) | |||||||
\(318\) | −5.35342 | − | 2.51665i | −0.300205 | − | 0.141127i | ||||
\(319\) | − | 26.4375i | − | 1.48022i | ||||||
\(320\) | −9.52097 | + | 15.1443i | −0.532238 | + | 0.846595i | ||||
\(321\) | −24.1862 | −1.34994 | ||||||||
\(322\) | −13.6997 | + | 29.1420i | −0.763454 | + | 1.62402i | ||||
\(323\) | 3.03036 | − | 3.03036i | 0.168614 | − | 0.168614i | ||||
\(324\) | 14.2238 | + | 17.1671i | 0.790213 | + | 0.953730i | ||||
\(325\) | −17.2246 | − | 5.32090i | −0.955451 | − | 0.295151i | ||||
\(326\) | −13.9216 | + | 5.01805i | −0.771046 | + | 0.277924i | ||||
\(327\) | 4.91787 | + | 4.91787i | 0.271959 | + | 0.271959i | ||||
\(328\) | −13.7283 | + | 3.54148i | −0.758017 | + | 0.195545i | ||||
\(329\) | 23.4613i | 1.29346i | ||||||||
\(330\) | 20.8977 | + | 18.3367i | 1.15038 | + | 1.00940i | ||||
\(331\) | −1.54670 | −0.0850143 | −0.0425071 | − | 0.999096i | \(-0.513535\pi\) | ||||
−0.0425071 | + | 0.999096i | \(0.513535\pi\) | |||||||
\(332\) | 12.5996 | + | 1.18138i | 0.691495 | + | 0.0648364i | ||||
\(333\) | −0.827549 | − | 0.827549i | −0.0453494 | − | 0.0453494i | ||||
\(334\) | −3.27392 | − | 9.08286i | −0.179141 | − | 0.496992i | ||||
\(335\) | −11.2316 | − | 3.23911i | −0.613648 | − | 0.176972i | ||||
\(336\) | −36.9722 | − | 6.99471i | −2.01700 | − | 0.381593i | ||||
\(337\) | 21.3686 | + | 21.3686i | 1.16402 | + | 1.16402i | 0.983587 | + | 0.180434i | \(0.0577502\pi\) |
0.180434 | + | 0.983587i | \(0.442250\pi\) | |||||||
\(338\) | 18.3193 | − | 1.55033i | 0.996438 | − | 0.0843270i | ||||
\(339\) | 30.3010 | 1.64573 | ||||||||
\(340\) | −1.90570 | − | 4.37107i | −0.103351 | − | 0.237054i | ||||
\(341\) | −9.43528 | −0.510949 | ||||||||
\(342\) | 9.36656 | + | 4.40323i | 0.506485 | + | 0.238099i | ||||
\(343\) | −13.1968 | + | 13.1968i | −0.712559 | + | 0.712559i | ||||
\(344\) | −8.79325 | + | 14.9072i | −0.474100 | + | 0.803745i | ||||
\(345\) | −12.6152 | − | 22.8404i | −0.679181 | − | 1.22968i | ||||
\(346\) | 20.6410 | − | 7.44005i | 1.10967 | − | 0.399980i | ||||
\(347\) | −15.8528 | + | 15.8528i | −0.851025 | + | 0.851025i | −0.990259 | − | 0.139235i | \(-0.955536\pi\) |
0.139235 | + | 0.990259i | \(0.455536\pi\) | |||||||
\(348\) | −28.8667 | − | 2.70662i | −1.54742 | − | 0.145090i | ||||
\(349\) | −5.85768 | −0.313554 | −0.156777 | − | 0.987634i | \(-0.550110\pi\) | ||||
−0.156777 | + | 0.987634i | \(0.550110\pi\) | |||||||
\(350\) | −29.5939 | − | 6.48100i | −1.58186 | − | 0.346424i | ||||
\(351\) | −8.08480 | − | 4.66630i | −0.431535 | − | 0.249068i | ||||
\(352\) | −13.2792 | + | 18.3503i | −0.707783 | + | 0.978075i | ||||
\(353\) | −11.5440 | − | 11.5440i | −0.614427 | − | 0.614427i | 0.329669 | − | 0.944096i | \(-0.393063\pi\) |
−0.944096 | + | 0.329669i | \(0.893063\pi\) | |||||||
\(354\) | −2.44792 | + | 0.882356i | −0.130106 | + | 0.0468967i | ||||
\(355\) | −28.7417 | + | 15.8747i | −1.52545 | + | 0.842539i | ||||
\(356\) | 8.04781 | + | 9.71312i | 0.426533 | + | 0.514794i | ||||
\(357\) | 7.09245 | − | 7.09245i | 0.375372 | − | 0.375372i | ||||
\(358\) | −8.86130 | − | 4.16571i | −0.468334 | − | 0.220164i | ||||
\(359\) | 10.8120i | 0.570635i | 0.958433 | + | 0.285317i | \(0.0920990\pi\) | ||||
−0.958433 | + | 0.285317i | \(0.907901\pi\) | |||||||
\(360\) | 8.37029 | − | 7.90930i | 0.441153 | − | 0.416857i | ||||
\(361\) | 2.84531 | 0.149753 | ||||||||
\(362\) | −13.5748 | − | 6.38152i | −0.713475 | − | 0.335405i | ||||
\(363\) | 7.81472 | + | 7.81472i | 0.410166 | + | 0.410166i | ||||
\(364\) | 30.4579 | − | 5.17960i | 1.59643 | − | 0.271485i | ||||
\(365\) | 16.2240 | + | 4.67888i | 0.849201 | + | 0.244904i | ||||
\(366\) | 14.0656 | + | 39.0221i | 0.735218 | + | 2.03972i | ||||
\(367\) | 6.69338 | − | 6.69338i | 0.349392 | − | 0.349392i | −0.510491 | − | 0.859883i | \(-0.670536\pi\) |
0.859883 | + | 0.510491i | \(0.170536\pi\) | |||||||
\(368\) | 17.5643 | − | 11.9757i | 0.915603 | − | 0.624275i | ||||
\(369\) | 9.12713 | 0.475139 | ||||||||
\(370\) | 1.34055 | − | 1.52777i | 0.0696919 | − | 0.0794251i | ||||
\(371\) | 8.16210 | 0.423755 | ||||||||
\(372\) | −0.965966 | + | 10.3022i | −0.0500830 | + | 0.534147i | ||||
\(373\) | 26.8369 | − | 26.8369i | 1.38956 | − | 1.38956i | 0.563337 | − | 0.826227i | \(-0.309517\pi\) |
0.826227 | − | 0.563337i | \(-0.190483\pi\) | |||||||
\(374\) | −2.04743 | − | 5.68021i | −0.105870 | − | 0.293717i | ||||
\(375\) | 18.3175 | − | 16.3424i | 0.945913 | − | 0.843917i | ||||
\(376\) | 7.86908 | − | 13.3405i | 0.405817 | − | 0.687984i | ||||
\(377\) | 22.9936 | − | 6.16446i | 1.18423 | − | 0.317486i | ||||
\(378\) | −14.1965 | − | 6.67378i | −0.730188 | − | 0.343262i | ||||
\(379\) | 6.51205i | 0.334501i | 0.985914 | + | 0.167251i | \(0.0534889\pi\) | ||||
−0.985914 | + | 0.167251i | \(0.946511\pi\) | |||||||
\(380\) | −6.57136 | + | 16.7305i | −0.337104 | + | 0.858259i | ||||
\(381\) | 5.57768 | 0.285753 | ||||||||
\(382\) | 12.4895 | − | 26.5677i | 0.639020 | − | 1.35932i | ||||
\(383\) | 6.37394 | − | 6.37394i | 0.325693 | − | 0.325693i | −0.525253 | − | 0.850946i | \(-0.676029\pi\) |
0.850946 | + | 0.525253i | \(0.176029\pi\) | |||||||
\(384\) | 18.6769 | + | 16.3780i | 0.953104 | + | 0.835788i | ||||
\(385\) | −36.8587 | − | 10.6298i | −1.87849 | − | 0.541744i | ||||
\(386\) | −2.40049 | − | 6.65969i | −0.122182 | − | 0.338969i | ||||
\(387\) | 7.87853 | − | 7.87853i | 0.400488 | − | 0.400488i | ||||
\(388\) | 27.1643 | + | 2.54700i | 1.37906 | + | 0.129304i | ||||
\(389\) | 31.2025i | 1.58203i | 0.611797 | + | 0.791015i | \(0.290447\pi\) | ||||
−0.611797 | + | 0.791015i | \(0.709553\pi\) | |||||||
\(390\) | −11.0753 | + | 22.4510i | −0.560821 | + | 1.13685i | ||||
\(391\) | 5.66672i | 0.286578i | ||||||||
\(392\) | 31.1016 | − | 8.02325i | 1.57087 | − | 0.405235i | ||||
\(393\) | 1.82647 | − | 1.82647i | 0.0921333 | − | 0.0921333i | ||||
\(394\) | 33.0203 | − | 11.9022i | 1.66354 | − | 0.599623i | ||||
\(395\) | −6.73279 | + | 3.71866i | −0.338763 | + | 0.187106i | ||||
\(396\) | 11.2285 | − | 9.30342i | 0.564256 | − | 0.467514i | ||||
\(397\) | −7.96092 | + | 7.96092i | −0.399547 | + | 0.399547i | −0.878073 | − | 0.478526i | \(-0.841171\pi\) |
0.478526 | + | 0.878073i | \(0.341171\pi\) | |||||||
\(398\) | −24.5399 | − | 11.5362i | −1.23007 | − | 0.578260i | ||||
\(399\) | −37.8095 | −1.89284 | ||||||||
\(400\) | 14.6538 | + | 13.6112i | 0.732692 | + | 0.680560i | ||||
\(401\) | − | 34.8531i | − | 1.74048i | −0.492629 | − | 0.870239i | \(-0.663964\pi\) | ||
0.492629 | − | 0.870239i | \(-0.336036\pi\) | |||||||
\(402\) | −6.90583 | + | 14.6901i | −0.344431 | + | 0.732675i | ||||
\(403\) | −2.20003 | − | 8.20617i | −0.109592 | − | 0.408779i | ||||
\(404\) | 13.1952 | + | 15.9256i | 0.656484 | + | 0.792329i | ||||
\(405\) | 21.8188 | − | 12.0510i | 1.08418 | − | 0.598818i | ||||
\(406\) | 37.6345 | − | 13.5654i | 1.86777 | − | 0.673239i | ||||
\(407\) | 1.81985 | − | 1.81985i | 0.0902065 | − | 0.0902065i | ||||
\(408\) | −6.41175 | + | 1.65403i | −0.317429 | + | 0.0818869i | ||||
\(409\) | 21.4960 | 1.06291 | 0.531454 | − | 0.847087i | \(-0.321646\pi\) | ||||
0.531454 | + | 0.847087i | \(0.321646\pi\) | |||||||
\(410\) | 1.03245 | + | 15.8175i | 0.0509891 | + | 0.781171i | ||||
\(411\) | 0.814745 | 0.0401884 | ||||||||
\(412\) | 0.880319 | − | 9.38879i | 0.0433702 | − | 0.462553i | ||||
\(413\) | 2.53875 | − | 2.53875i | 0.124924 | − | 0.124924i | ||||
\(414\) | −12.8746 | + | 4.64066i | −0.632753 | + | 0.228076i | ||||
\(415\) | 3.92057 | − | 13.5946i | 0.192453 | − | 0.667331i | ||||
\(416\) | −19.0562 | − | 7.27059i | −0.934307 | − | 0.356470i | ||||
\(417\) | −10.0735 | − | 10.0735i | −0.493303 | − | 0.493303i | ||||
\(418\) | −9.68305 | + | 20.5978i | −0.473614 | + | 1.00747i | ||||
\(419\) | −14.2968 | −0.698445 | −0.349222 | − | 0.937040i | \(-0.613554\pi\) | ||||
−0.349222 | + | 0.937040i | \(0.613554\pi\) | |||||||
\(420\) | −15.3800 | + | 39.1572i | −0.750469 | + | 1.91068i | ||||
\(421\) | 33.3634i | 1.62603i | 0.582241 | + | 0.813016i | \(0.302176\pi\) | ||||
−0.582241 | + | 0.813016i | \(0.697824\pi\) | |||||||
\(422\) | 12.4542 | − | 26.4927i | 0.606263 | − | 1.28964i | ||||
\(423\) | −7.05050 | + | 7.05050i | −0.342807 | + | 0.342807i | ||||
\(424\) | −4.64111 | − | 2.73762i | −0.225392 | − | 0.132951i | ||||
\(425\) | −5.19825 | + | 1.18346i | −0.252152 | + | 0.0574062i | ||||
\(426\) | 15.4611 | + | 42.8938i | 0.749092 | + | 2.07821i | ||||
\(427\) | −40.4701 | − | 40.4701i | −1.95848 | − | 1.95848i | ||||
\(428\) | −21.9349 | − | 2.05667i | −1.06026 | − | 0.0994130i | ||||
\(429\) | −15.8458 | + | 27.4544i | −0.765043 | + | 1.32551i | ||||
\(430\) | 14.5449 | + | 12.7625i | 0.701417 | + | 0.615461i | ||||
\(431\) | 3.59162 | 0.173002 | 0.0865011 | − | 0.996252i | \(-0.472431\pi\) | ||||
0.0865011 | + | 0.996252i | \(0.472431\pi\) | |||||||
\(432\) | 5.83393 | + | 8.55643i | 0.280685 | + | 0.411671i | ||||
\(433\) | −13.7981 | + | 13.7981i | −0.663094 | + | 0.663094i | −0.956108 | − | 0.293014i | \(-0.905342\pi\) |
0.293014 | + | 0.956108i | \(0.405342\pi\) | |||||||
\(434\) | −4.84135 | − | 13.4314i | −0.232392 | − | 0.644727i | ||||
\(435\) | −8.98233 | + | 31.1462i | −0.430670 | + | 1.49334i | ||||
\(436\) | 4.04191 | + | 4.87830i | 0.193573 | + | 0.233628i | ||||
\(437\) | 15.1045 | − | 15.1045i | 0.722546 | − | 0.722546i | ||||
\(438\) | 9.97542 | − | 21.2197i | 0.476644 | − | 1.01392i | ||||
\(439\) | 17.0950 | 0.815898 | 0.407949 | − | 0.913005i | \(-0.366244\pi\) | ||||
0.407949 | + | 0.913005i | \(0.366244\pi\) | |||||||
\(440\) | 17.3932 | + | 18.4069i | 0.829188 | + | 0.877516i | ||||
\(441\) | −20.6776 | −0.984647 | ||||||||
\(442\) | 4.46286 | − | 3.10518i | 0.212277 | − | 0.147698i | ||||
\(443\) | −1.06840 | − | 1.06840i | −0.0507610 | − | 0.0507610i | 0.681271 | − | 0.732032i | \(-0.261428\pi\) |
−0.732032 | + | 0.681271i | \(0.761428\pi\) | |||||||
\(444\) | −1.80075 | − | 2.17338i | −0.0854599 | − | 0.103144i | ||||
\(445\) | 12.3450 | − | 6.81841i | 0.585210 | − | 0.323224i | ||||
\(446\) | 11.1299 | − | 4.01178i | 0.527016 | − | 0.189963i | ||||
\(447\) | −36.0648 | − | 36.0648i | −1.70580 | − | 1.70580i | ||||
\(448\) | −32.9359 | − | 9.48755i | −1.55608 | − | 0.448245i | ||||
\(449\) | 8.23041 | 0.388417 | 0.194208 | − | 0.980960i | \(-0.437786\pi\) | ||||
0.194208 | + | 0.980960i | \(0.437786\pi\) | |||||||
\(450\) | −6.94580 | − | 10.8411i | −0.327428 | − | 0.511054i | ||||
\(451\) | 20.0713i | 0.945120i | ||||||||
\(452\) | 27.4805 | + | 2.57665i | 1.29257 | + | 0.121195i | ||||
\(453\) | −10.2770 | − | 10.2770i | −0.482855 | − | 0.482855i | ||||
\(454\) | 0.392724 | + | 1.08954i | 0.0184315 | + | 0.0511345i | ||||
\(455\) | 0.650689 | − | 34.5358i | 0.0305048 | − | 1.61906i | ||||
\(456\) | 21.4991 | + | 12.6816i | 1.00679 | + | 0.593868i | ||||
\(457\) | −12.8554 | + | 12.8554i | −0.601350 | + | 0.601350i | −0.940671 | − | 0.339321i | \(-0.889803\pi\) |
0.339321 | + | 0.940671i | \(0.389803\pi\) | |||||||
\(458\) | −7.23064 | − | 3.39913i | −0.337866 | − | 0.158831i | ||||
\(459\) | −2.76053 | −0.128851 | ||||||||
\(460\) | −9.49874 | − | 21.7871i | −0.442881 | − | 1.01583i | ||||
\(461\) | 14.8290i | 0.690654i | 0.938482 | + | 0.345327i | \(0.112232\pi\) | ||||
−0.938482 | + | 0.345327i | \(0.887768\pi\) | |||||||
\(462\) | −22.6628 | + | 48.2084i | −1.05437 | + | 2.24286i | ||||
\(463\) | 19.1031 | − | 19.1031i | 0.887795 | − | 0.887795i | −0.106516 | − | 0.994311i | \(-0.533969\pi\) |
0.994311 | + | 0.106516i | \(0.0339694\pi\) | |||||||
\(464\) | −25.9496 | − | 4.90936i | −1.20468 | − | 0.227912i | ||||
\(465\) | 11.1158 | + | 3.20571i | 0.515481 | + | 0.148661i | ||||
\(466\) | 10.2485 | − | 3.69409i | 0.474754 | − | 0.171125i | ||||
\(467\) | 2.71966 | − | 2.71966i | 0.125851 | − | 0.125851i | −0.641376 | − | 0.767227i | \(-0.721636\pi\) |
0.767227 | + | 0.641376i | \(0.221636\pi\) | |||||||
\(468\) | 10.7097 | + | 7.59655i | 0.495054 | + | 0.351151i | ||||
\(469\) | − | 22.3972i | − | 1.03421i | ||||||
\(470\) | −13.0162 | − | 11.4211i | −0.600394 | − | 0.526818i | ||||
\(471\) | 16.6248i | 0.766028i | ||||||||
\(472\) | −2.29510 | + | 0.592064i | −0.105640 | + | 0.0272520i | ||||
\(473\) | 17.3255 | + | 17.3255i | 0.796628 | + | 0.796628i | ||||
\(474\) | 3.62178 | + | 10.0479i | 0.166354 | + | 0.461517i | ||||
\(475\) | 17.0103 | + | 10.7013i | 0.780485 | + | 0.491010i | ||||
\(476\) | 7.03538 | − | 5.82916i | 0.322466 | − | 0.267179i | ||||
\(477\) | 2.45284 | + | 2.45284i | 0.112308 | + | 0.112308i | ||||
\(478\) | −1.04598 | + | 2.22502i | −0.0478422 | + | 0.101770i | ||||
\(479\) | 13.9163i | 0.635854i | 0.948115 | + | 0.317927i | \(0.102987\pi\) | ||||
−0.948115 | + | 0.317927i | \(0.897013\pi\) | |||||||
\(480\) | 21.8790 | − | 17.1069i | 0.998633 | − | 0.780820i | ||||
\(481\) | 2.00712 | + | 1.15845i | 0.0915167 | + | 0.0528206i | ||||
\(482\) | 1.15441 | − | 2.45566i | 0.0525818 | − | 0.111852i | ||||
\(483\) | 35.3515 | − | 35.3515i | 1.60855 | − | 1.60855i | ||||
\(484\) | 6.42278 | + | 7.75183i | 0.291945 | + | 0.352356i | ||||
\(485\) | 8.45261 | − | 29.3094i | 0.383813 | − | 1.33087i | ||||
\(486\) | −8.01233 | − | 22.2286i | −0.363447 | − | 1.00831i | ||||
\(487\) | 14.0817 | + | 14.0817i | 0.638104 | + | 0.638104i | 0.950088 | − | 0.311983i | \(-0.100993\pi\) |
−0.311983 | + | 0.950088i | \(0.600993\pi\) | |||||||
\(488\) | 9.43805 | + | 36.5859i | 0.427240 | + | 1.65617i | ||||
\(489\) | 22.9753 | 1.03898 | ||||||||
\(490\) | −2.33903 | − | 35.8347i | −0.105666 | − | 1.61885i | ||||
\(491\) | − | 5.72122i | − | 0.258195i | −0.991632 | − | 0.129097i | \(-0.958792\pi\) | ||
0.991632 | − | 0.129097i | \(-0.0412080\pi\) | |||||||
\(492\) | 21.9155 | + | 2.05486i | 0.988029 | + | 0.0926402i | ||||
\(493\) | 4.97797 | − | 4.97797i | 0.224196 | − | 0.224196i | ||||
\(494\) | −20.1724 | − | 3.61886i | −0.907599 | − | 0.162820i | ||||
\(495\) | −7.88221 | − | 14.2711i | −0.354279 | − | 0.641436i | ||||
\(496\) | −1.75210 | + | 9.26115i | −0.0786718 | + | 0.415838i | ||||
\(497\) | −44.4854 | − | 44.4854i | −1.99544 | − | 1.99544i | ||||
\(498\) | −17.7807 | − | 8.35872i | −0.796771 | − | 0.374563i | ||||
\(499\) | 18.6310i | 0.834040i | 0.908897 | + | 0.417020i | \(0.136926\pi\) | ||||
−0.908897 | + | 0.417020i | \(0.863074\pi\) | |||||||
\(500\) | 18.0022 | − | 13.2636i | 0.805081 | − | 0.593165i | ||||
\(501\) | 14.9897i | 0.669692i | ||||||||
\(502\) | −16.8962 | + | 35.9417i | −0.754116 | + | 1.60416i | ||||
\(503\) | 7.95573 | + | 7.95573i | 0.354728 | + | 0.354728i | 0.861865 | − | 0.507137i | \(-0.169296\pi\) |
−0.507137 | + | 0.861865i | \(0.669296\pi\) | |||||||
\(504\) | 19.0052 | + | 11.2105i | 0.846558 | + | 0.499354i | ||||
\(505\) | 20.2408 | − | 11.1795i | 0.900706 | − | 0.497479i | ||||
\(506\) | −10.2052 | − | 28.3123i | −0.453676 | − | 1.25864i | ||||
\(507\) | −27.5728 | − | 7.38006i | −1.22455 | − | 0.327760i | ||||
\(508\) | 5.05849 | + | 0.474298i | 0.224434 | + | 0.0210436i | ||||
\(509\) | −4.08878 | −0.181232 | −0.0906160 | − | 0.995886i | \(-0.528884\pi\) | ||||
−0.0906160 | + | 0.995886i | \(0.528884\pi\) | |||||||
\(510\) | 0.482203 | + | 7.38752i | 0.0213523 | + | 0.327125i | ||||
\(511\) | 32.3527i | 1.43120i | ||||||||
\(512\) | 15.5457 | + | 16.4417i | 0.687031 | + | 0.726628i | ||||
\(513\) | 7.35813 | + | 7.35813i | 0.324869 | + | 0.324869i | ||||
\(514\) | −9.08757 | − | 25.2117i | −0.400836 | − | 1.11204i | ||||
\(515\) | −10.1302 | − | 2.92147i | −0.446389 | − | 0.128735i | ||||
\(516\) | 20.6912 | − | 17.1437i | 0.910881 | − | 0.754711i | ||||
\(517\) | −15.5046 | − | 15.5046i | −0.681892 | − | 0.681892i | ||||
\(518\) | 3.52439 | + | 1.65682i | 0.154853 | + | 0.0727965i | ||||
\(519\) | −34.0645 | −1.49526 | ||||||||
\(520\) | −11.9535 | + | 19.4194i | −0.524197 | + | 0.851597i | ||||
\(521\) | 14.0359 | 0.614924 | 0.307462 | − | 0.951560i | \(-0.400520\pi\) | ||||
0.307462 | + | 0.951560i | \(0.400520\pi\) | |||||||
\(522\) | 15.3864 | + | 7.23317i | 0.673445 | + | 0.316587i | ||||
\(523\) | −13.6052 | − | 13.6052i | −0.594912 | − | 0.594912i | 0.344042 | − | 0.938954i | \(-0.388204\pi\) |
−0.938954 | + | 0.344042i | \(0.888204\pi\) | |||||||
\(524\) | 1.81177 | − | 1.50115i | 0.0791477 | − | 0.0655778i | ||||
\(525\) | 39.8119 | + | 25.0460i | 1.73753 | + | 1.09310i | ||||
\(526\) | −3.54581 | − | 9.83716i | −0.154605 | − | 0.428921i | ||||
\(527\) | −1.77659 | − | 1.77659i | −0.0773893 | − | 0.0773893i | ||||
\(528\) | 29.0559 | − | 19.8109i | 1.26450 | − | 0.862158i | ||||
\(529\) | 5.24510i | 0.228048i | ||||||||
\(530\) | −3.97337 | + | 4.52829i | −0.172592 | + | 0.196697i | ||||
\(531\) | 1.52587 | 0.0662173 | ||||||||
\(532\) | −34.2901 | − | 3.21513i | −1.48666 | − | 0.139393i | ||||
\(533\) | −17.4567 | + | 4.68004i | −0.756132 | + | 0.202715i | ||||
\(534\) | −6.64078 | − | 18.4235i | −0.287375 | − | 0.797265i | ||||
\(535\) | −6.82538 | + | 23.6670i | −0.295087 | + | 1.02321i | ||||
\(536\) | −7.51219 | + | 12.7355i | −0.324477 | + | 0.550088i | ||||
\(537\) | 10.7494 | + | 10.7494i | 0.463873 | + | 0.463873i | ||||
\(538\) | 3.18532 | − | 6.77582i | 0.137329 | − | 0.292126i | ||||
\(539\) | − | 45.4717i | − | 1.95860i | ||||||
\(540\) | 10.6135 | − | 4.62730i | 0.456734 | − | 0.199127i | ||||
\(541\) | 20.5892i | 0.885200i | 0.896719 | + | 0.442600i | \(0.145944\pi\) | ||||
−0.896719 | + | 0.442600i | \(0.854056\pi\) | |||||||
\(542\) | −25.9398 | − | 12.1943i | −1.11421 | − | 0.523792i | ||||
\(543\) | 16.4673 | + | 16.4673i | 0.706678 | + | 0.706678i | ||||
\(544\) | −5.95558 | + | 0.954850i | −0.255343 | + | 0.0409388i | ||||
\(545\) | 6.20013 | − | 3.42447i | 0.265584 | − | 0.146688i | ||||
\(546\) | −47.2128 | − | 8.46980i | −2.02052 | − | 0.362474i | ||||
\(547\) | 27.5630 | − | 27.5630i | 1.17851 | − | 1.17851i | 0.198387 | − | 0.980124i | \(-0.436430\pi\) |
0.980124 | − | 0.198387i | \(-0.0635702\pi\) | |||||||
\(548\) | 0.738906 | + | 0.0692819i | 0.0315645 | + | 0.00295957i | ||||
\(549\) | − | 24.3238i | − | 1.03812i | ||||||
\(550\) | 23.8404 | − | 15.2744i | 1.01656 | − | 0.651302i | ||||
\(551\) | −26.5373 | −1.13052 | ||||||||
\(552\) | −31.9586 | + | 8.24434i | −1.36025 | + | 0.350902i | ||||
\(553\) | −10.4208 | − | 10.4208i | −0.443136 | − | 0.443136i | ||||
\(554\) | 10.8670 | + | 30.1483i | 0.461693 | + | 1.28088i | ||||
\(555\) | −2.76228 | + | 1.52567i | −0.117252 | + | 0.0647610i | ||||
\(556\) | −8.27927 | − | 9.99247i | −0.351119 | − | 0.423775i | ||||
\(557\) | 14.7124 | − | 14.7124i | 0.623382 | − | 0.623382i | −0.323012 | − | 0.946395i | \(-0.604696\pi\) |
0.946395 | + | 0.323012i | \(0.104696\pi\) | |||||||
\(558\) | 2.58145 | − | 5.49126i | 0.109281 | − | 0.232463i | ||||
\(559\) | −11.0288 | + | 19.1084i | −0.466467 | + | 0.808199i | ||||
\(560\) | −17.2782 | + | 34.2045i | −0.730135 | + | 1.44541i | ||||
\(561\) | 9.37423i | 0.395780i | ||||||||
\(562\) | 9.14088 | − | 19.4445i | 0.385585 | − | 0.820217i | ||||
\(563\) | 9.04527 | + | 9.04527i | 0.381213 | + | 0.381213i | 0.871539 | − | 0.490326i | \(-0.163122\pi\) |
−0.490326 | + | 0.871539i | \(0.663122\pi\) | |||||||
\(564\) | −18.5166 | + | 15.3419i | −0.779690 | + | 0.646012i | ||||
\(565\) | 8.55100 | − | 29.6505i | 0.359743 | − | 1.24741i | ||||
\(566\) | 9.10988 | + | 25.2736i | 0.382917 | + | 1.06233i | ||||
\(567\) | 33.7703 | + | 33.7703i | 1.41822 | + | 1.41822i | ||||
\(568\) | 10.3745 | + | 40.2158i | 0.435302 | + | 1.68742i | ||||
\(569\) | − | 16.7114i | − | 0.700577i | −0.936642 | − | 0.350289i | \(-0.886083\pi\) | ||
0.936642 | − | 0.350289i | \(-0.113917\pi\) | |||||||
\(570\) | 18.4059 | − | 20.9765i | 0.770939 | − | 0.878610i | ||||
\(571\) | − | 12.2500i | − | 0.512646i | −0.966591 | − | 0.256323i | \(-0.917489\pi\) | ||
0.966591 | − | 0.256323i | \(-0.0825111\pi\) | |||||||
\(572\) | −16.7054 | + | 23.5514i | −0.698489 | + | 0.984734i | ||||
\(573\) | −32.2287 | + | 32.2287i | −1.34637 | + | 1.34637i | ||||
\(574\) | −28.5720 | + | 10.2988i | −1.19257 | + | 0.429864i | ||||
\(575\) | −25.9101 | + | 5.89882i | −1.08052 | + | 0.245998i | ||||
\(576\) | −7.04661 | − | 12.7489i | −0.293609 | − | 0.531206i | ||||
\(577\) | −28.8920 | + | 28.8920i | −1.20279 | + | 1.20279i | −0.229473 | + | 0.973315i | \(0.573700\pi\) |
−0.973315 | + | 0.229473i | \(0.926300\pi\) | |||||||
\(578\) | −9.54416 | + | 20.3023i | −0.396985 | + | 0.844466i | ||||
\(579\) | 10.9907i | 0.456758i | ||||||||
\(580\) | −10.7948 | + | 27.4832i | −0.448228 | + | 1.14118i | ||||
\(581\) | 27.1093 | 1.12468 | ||||||||
\(582\) | −38.3344 | − | 18.0211i | −1.58901 | − | 0.746997i | ||||
\(583\) | −5.39400 | + | 5.39400i | −0.223397 | + | 0.223397i | ||||
\(584\) | 10.8513 | − | 18.3963i | 0.449030 | − | 0.761244i | ||||
\(585\) | 10.5741 | − | 10.1830i | 0.437185 | − | 0.421016i | ||||
\(586\) | −5.77442 | − | 16.0200i | −0.238539 | − | 0.661781i | ||||
\(587\) | −4.79794 | − | 4.79794i | −0.198032 | − | 0.198032i | 0.601124 | − | 0.799156i | \(-0.294720\pi\) |
−0.799156 | + | 0.601124i | \(0.794720\pi\) | |||||||
\(588\) | −49.6499 | − | 4.65531i | −2.04753 | − | 0.191982i | ||||
\(589\) | 9.47088i | 0.390241i | ||||||||
\(590\) | 0.172605 | + | 2.64437i | 0.00710604 | + | 0.108867i | ||||
\(591\) | −54.4944 | −2.24160 | ||||||||
\(592\) | −1.44832 | − | 2.12420i | −0.0595256 | − | 0.0873041i | ||||
\(593\) | 14.6931 | + | 14.6931i | 0.603373 | + | 0.603373i | 0.941206 | − | 0.337833i | \(-0.109694\pi\) |
−0.337833 | + | 0.941206i | \(0.609694\pi\) | |||||||
\(594\) | 13.7923 | − | 4.97144i | 0.565905 | − | 0.203981i | ||||
\(595\) | −4.93869 | − | 8.94169i | −0.202467 | − | 0.366574i | ||||
\(596\) | −29.6410 | − | 35.7745i | −1.21414 | − | 1.46538i | ||||
\(597\) | 29.7688 | + | 29.7688i | 1.21836 | + | 1.21836i | ||||
\(598\) | 22.2446 | − | 15.4774i | 0.909650 | − | 0.632918i | ||||
\(599\) | −38.2891 | −1.56445 | −0.782226 | − | 0.622995i | \(-0.785916\pi\) | ||||
−0.782226 | + | 0.622995i | \(0.785916\pi\) | |||||||
\(600\) | −14.2371 | − | 27.5948i | −0.581229 | − | 1.12655i | ||||
\(601\) | −16.2330 | −0.662159 | −0.331079 | − | 0.943603i | \(-0.607413\pi\) | ||||
−0.331079 | + | 0.943603i | \(0.607413\pi\) | |||||||
\(602\) | −15.7735 | + | 33.5533i | −0.642878 | + | 1.36753i | ||||
\(603\) | 6.73074 | − | 6.73074i | 0.274097 | − | 0.274097i | ||||
\(604\) | −8.44647 | − | 10.1943i | −0.343682 | − | 0.414799i | ||||
\(605\) | 9.85228 | − | 5.44163i | 0.400552 | − | 0.221234i | ||||
\(606\) | −10.8882 | − | 30.2072i | −0.442303 | − | 1.22708i | ||||
\(607\) | −6.35320 | + | 6.35320i | −0.257868 | + | 0.257868i | −0.824187 | − | 0.566318i | \(-0.808367\pi\) |
0.566318 | + | 0.824187i | \(0.308367\pi\) | |||||||
\(608\) | 18.4196 | + | 13.3293i | 0.747011 | + | 0.540575i | ||||
\(609\) | −62.1095 | −2.51680 | ||||||||
\(610\) | 42.1537 | − | 2.75148i | 1.70676 | − | 0.111404i | ||||
\(611\) | 9.86965 | − | 17.1001i | 0.399283 | − | 0.691796i | ||||
\(612\) | 3.86600 | + | 0.362487i | 0.156274 | + | 0.0146527i | ||||
\(613\) | −31.3456 | − | 31.3456i | −1.26604 | − | 1.26604i | −0.948118 | − | 0.317920i | \(-0.897016\pi\) |
−0.317920 | − | 0.948118i | \(-0.602984\pi\) | |||||||
\(614\) | 4.51653 | + | 12.5302i | 0.182272 | + | 0.505679i | ||||
\(615\) | 6.81936 | − | 23.6461i | 0.274983 | − | 0.953503i | ||||
\(616\) | −24.6527 | + | 41.7939i | −0.993287 | + | 1.68392i | ||||
\(617\) | 9.25716 | − | 9.25716i | 0.372679 | − | 0.372679i | −0.495773 | − | 0.868452i | \(-0.665115\pi\) |
0.868452 | + | 0.495773i | \(0.165115\pi\) | |||||||
\(618\) | −6.22861 | + | 13.2495i | −0.250552 | + | 0.532974i | ||||
\(619\) | − | 45.3844i | − | 1.82415i | −0.410019 | − | 0.912077i | \(-0.634478\pi\) | ||
0.410019 | − | 0.912077i | \(-0.365522\pi\) | |||||||
\(620\) | 9.80848 | + | 3.85254i | 0.393918 | + | 0.154722i | ||||
\(621\) | −13.7596 | −0.552152 | ||||||||
\(622\) | 11.0510 | − | 23.5078i | 0.443107 | − | 0.942577i | ||||
\(623\) | 19.1072 | + | 19.1072i | 0.765512 | + | 0.765512i | ||||
\(624\) | 24.0052 | + | 20.6516i | 0.960976 | + | 0.826724i | ||||
\(625\) | −10.8223 | − | 22.5361i | −0.432893 | − | 0.901445i | ||||
\(626\) | 2.36495 | − | 0.852448i | 0.0945225 | − | 0.0340707i | ||||
\(627\) | 24.9867 | − | 24.9867i | 0.997874 | − | 0.997874i | ||||
\(628\) | −1.41369 | + | 15.0773i | −0.0564122 | + | 0.601649i | ||||
\(629\) | 0.685325 | 0.0273257 | ||||||||
\(630\) | 16.2708 | − | 18.5432i | 0.648244 | − | 0.738779i | ||||
\(631\) | −6.06716 | −0.241530 | −0.120765 | − | 0.992681i | \(-0.538535\pi\) | ||||
−0.120765 | + | 0.992681i | \(0.538535\pi\) | |||||||
\(632\) | 2.43023 | + | 9.42063i | 0.0966695 | + | 0.374732i | ||||
\(633\) | −32.1377 | + | 32.1377i | −1.27736 | + | 1.27736i | ||||
\(634\) | −0.573418 | + | 0.206689i | −0.0227733 | + | 0.00820866i | ||||
\(635\) | 1.57403 | − | 5.45794i | 0.0624634 | − | 0.216592i | ||||
\(636\) | 5.33740 | + | 6.44186i | 0.211642 | + | 0.255436i | ||||
\(637\) | 39.5482 | − | 10.6027i | 1.56696 | − | 0.420094i | ||||
\(638\) | −15.9063 | + | 33.8359i | −0.629737 | + | 1.33958i | ||||
\(639\) | − | 26.7371i | − | 1.05771i | ||||||
\(640\) | 21.2971 | − | 13.6541i | 0.841841 | − | 0.539725i | ||||
\(641\) | −3.06840 | −0.121195 | −0.0605973 | − | 0.998162i | \(-0.519301\pi\) | ||||
−0.0605973 | + | 0.998162i | \(0.519301\pi\) | |||||||
\(642\) | 30.9546 | + | 14.5518i | 1.22168 | + | 0.574314i | ||||
\(643\) | −10.4791 | + | 10.4791i | −0.413254 | + | 0.413254i | −0.882870 | − | 0.469617i | \(-0.844392\pi\) |
0.469617 | + | 0.882870i | \(0.344392\pi\) | |||||||
\(644\) | 35.0670 | − | 29.0548i | 1.38183 | − | 1.14492i | ||||
\(645\) | −14.5248 | − | 26.2978i | −0.571915 | − | 1.03547i | ||||
\(646\) | −5.70164 | + | 2.05516i | −0.224328 | + | 0.0808592i | ||||
\(647\) | 23.5375 | − | 23.5375i | 0.925356 | − | 0.925356i | −0.0720455 | − | 0.997401i | \(-0.522953\pi\) |
0.997401 | + | 0.0720455i | \(0.0229527\pi\) | |||||||
\(648\) | −7.87559 | − | 30.5292i | −0.309382 | − | 1.19930i | ||||
\(649\) | 3.35552i | 0.131716i | ||||||||
\(650\) | 18.8435 | + | 17.1733i | 0.739104 | + | 0.673591i | ||||
\(651\) | 22.1662i | 0.868764i | ||||||||
\(652\) | 20.8367 | + | 1.95370i | 0.816027 | + | 0.0765129i | ||||
\(653\) | −20.8321 | + | 20.8321i | −0.815224 | + | 0.815224i | −0.985412 | − | 0.170187i | \(-0.945563\pi\) |
0.170187 | + | 0.985412i | \(0.445563\pi\) | |||||||
\(654\) | −3.33525 | − | 9.25300i | −0.130419 | − | 0.361821i | ||||
\(655\) | −1.27183 | − | 2.30269i | −0.0496944 | − | 0.0899737i | ||||
\(656\) | 19.7009 | + | 3.72718i | 0.769189 | + | 0.145522i | ||||
\(657\) | −9.72250 | + | 9.72250i | −0.379311 | + | 0.379311i | ||||
\(658\) | 14.1157 | − | 30.0269i | 0.550286 | − | 1.17057i | ||||
\(659\) | 15.2442 | 0.593831 | 0.296916 | − | 0.954904i | \(-0.404042\pi\) | ||||
0.296916 | + | 0.954904i | \(0.404042\pi\) | |||||||
\(660\) | −15.7134 | − | 36.0414i | −0.611642 | − | 1.40291i | ||||
\(661\) | 11.3087i | 0.439857i | 0.975516 | + | 0.219929i | \(0.0705825\pi\) | ||||
−0.975516 | + | 0.219929i | \(0.929418\pi\) | |||||||
\(662\) | 1.97954 | + | 0.930583i | 0.0769369 | + | 0.0361681i | ||||
\(663\) | −8.15307 | + | 2.18580i | −0.316639 | + | 0.0848894i | ||||
\(664\) | −15.4148 | − | 9.09265i | −0.598211 | − | 0.352863i | ||||
\(665\) | −10.6699 | + | 36.9978i | −0.413761 | + | 1.43471i | ||||
\(666\) | 0.561235 | + | 1.55704i | 0.0217474 | + | 0.0603340i | ||||
\(667\) | 24.8121 | − | 24.8121i | 0.960728 | − | 0.960728i | ||||
\(668\) | −1.27465 | + | 13.5945i | −0.0493178 | + | 0.525985i | ||||
\(669\) | −18.3680 | −0.710149 | ||||||||
\(670\) | 12.4259 | + | 10.9031i | 0.480054 | + | 0.421225i | ||||
\(671\) | 53.4901 | 2.06496 | ||||||||
\(672\) | 43.1103 | + | 31.1967i | 1.66302 | + | 1.20344i | ||||
\(673\) | 3.84495 | − | 3.84495i | 0.148212 | − | 0.148212i | −0.629107 | − | 0.777319i | \(-0.716579\pi\) |
0.777319 | + | 0.629107i | \(0.216579\pi\) | |||||||
\(674\) | −14.4919 | − | 40.2051i | −0.558209 | − | 1.54864i | ||||
\(675\) | −2.87360 | − | 12.6221i | −0.110605 | − | 0.485823i | ||||
\(676\) | −24.3787 | − | 9.03775i | −0.937641 | − | 0.347606i | ||||
\(677\) | −23.8676 | − | 23.8676i | −0.917305 | − | 0.917305i | 0.0795281 | − | 0.996833i | \(-0.474659\pi\) |
−0.996833 | + | 0.0795281i | \(0.974659\pi\) | |||||||
\(678\) | −38.7807 | − | 18.2308i | −1.48936 | − | 0.700151i | ||||
\(679\) | 58.4466 | 2.24297 | ||||||||
\(680\) | −0.190880 | + | 6.74087i | −0.00731991 | + | 0.258501i | ||||
\(681\) | − | 1.79810i | − | 0.0689033i | ||||||
\(682\) | 12.0757 | + | 5.67681i | 0.462403 | + | 0.217376i | ||||
\(683\) | −8.50618 | + | 8.50618i | −0.325480 | + | 0.325480i | −0.850865 | − | 0.525385i | \(-0.823921\pi\) |
0.525385 | + | 0.850865i | \(0.323921\pi\) | |||||||
\(684\) | −9.33852 | − | 11.2709i | −0.357067 | − | 0.430954i | ||||
\(685\) | 0.229922 | − | 0.797254i | 0.00878488 | − | 0.0304615i | ||||
\(686\) | 24.8298 | − | 8.94991i | 0.948006 | − | 0.341709i | ||||
\(687\) | 8.77133 | + | 8.77133i | 0.334647 | + | 0.334647i | ||||
\(688\) | 20.2231 | − | 13.7885i | 0.770997 | − | 0.525681i | ||||
\(689\) | −5.94906 | − | 3.43361i | −0.226641 | − | 0.130810i | ||||
\(690\) | 2.40348 | + | 36.8222i | 0.0914990 | + | 1.40180i | ||||
\(691\) | −30.9634 | −1.17790 | −0.588952 | − | 0.808168i | \(-0.700459\pi\) | ||||
−0.588952 | + | 0.808168i | \(0.700459\pi\) | |||||||
\(692\) | −30.8936 | − | 2.89667i | −1.17440 | − | 0.110115i | ||||
\(693\) | 22.0882 | − | 22.0882i | 0.839062 | − | 0.839062i | ||||
\(694\) | 29.8272 | − | 10.7512i | 1.13222 | − | 0.408111i | ||||
\(695\) | −12.7001 | + | 7.01451i | −0.481740 | + | 0.266076i | ||||
\(696\) | 35.3165 | + | 20.8319i | 1.33867 | + | 0.789633i | ||||
\(697\) | −3.77926 | + | 3.77926i | −0.143150 | + | 0.143150i | ||||
\(698\) | 7.49693 | + | 3.52432i | 0.283763 | + | 0.133397i | ||||
\(699\) | −16.9135 | −0.639727 | ||||||||
\(700\) | 33.9763 | + | 26.1001i | 1.28418 | + | 0.986490i | ||||
\(701\) | −15.6776 | −0.592134 | −0.296067 | − | 0.955167i | \(-0.595675\pi\) | ||||
−0.296067 | + | 0.955167i | \(0.595675\pi\) | |||||||
\(702\) | 7.53980 | + | 10.8364i | 0.284571 | + | 0.408995i | ||||
\(703\) | −1.82671 | − | 1.82671i | −0.0688958 | − | 0.0688958i | ||||
\(704\) | 28.0359 | − | 15.4961i | 1.05664 | − | 0.584030i | ||||
\(705\) | 12.9983 | + | 23.5339i | 0.489544 | + | 0.886338i | ||||
\(706\) | 7.82904 | + | 21.7202i | 0.294650 | + | 0.817449i | ||||
\(707\) | 31.3281 | + | 31.3281i | 1.17821 | + | 1.17821i | ||||
\(708\) | 3.66384 | + | 0.343532i | 0.137696 | + | 0.0129107i | ||||
\(709\) | −4.38017 | −0.164501 | −0.0822504 | − | 0.996612i | \(-0.526211\pi\) | ||||
−0.0822504 | + | 0.996612i | \(0.526211\pi\) | |||||||
\(710\) | 46.3361 | − | 3.02448i | 1.73896 | − | 0.113507i | ||||
\(711\) | − | 6.26322i | − | 0.234889i | ||||||
\(712\) | −4.45599 | − | 17.2733i | −0.166995 | − | 0.647346i | ||||
\(713\) | −8.85519 | − | 8.85519i | −0.331629 | − | 0.331629i | ||||
\(714\) | −13.3445 | + | 4.81003i | −0.499405 | + | 0.180011i | ||||
\(715\) | 22.3933 | + | 23.2533i | 0.837461 | + | 0.869624i | ||||
\(716\) | 8.83478 | + | 10.6629i | 0.330171 | + | 0.398493i | ||||
\(717\) | 2.69912 | − | 2.69912i | 0.100800 | − | 0.100800i | ||||
\(718\) | 6.50511 | − | 13.8377i | 0.242769 | − | 0.516418i | ||||
\(719\) | −42.2331 | −1.57503 | −0.787514 | − | 0.616297i | \(-0.788632\pi\) | ||||
−0.787514 | + | 0.616297i | \(0.788632\pi\) | |||||||
\(720\) | −15.4714 | + | 5.08665i | −0.576584 | + | 0.189568i | ||||
\(721\) | − | 20.2009i | − | 0.752320i | ||||||
\(722\) | −3.64156 | − | 1.71190i | −0.135525 | − | 0.0637104i | ||||
\(723\) | −2.97890 | + | 2.97890i | −0.110787 | + | 0.110787i | ||||
\(724\) | 13.5342 | + | 16.3347i | 0.502993 | + | 0.607076i | ||||
\(725\) | 27.9427 | + | 17.5790i | 1.03777 | + | 0.652868i | ||||
\(726\) | −5.29986 | − | 14.7034i | −0.196696 | − | 0.545695i | ||||
\(727\) | −30.6068 | + | 30.6068i | −1.13514 | + | 1.13514i | −0.145836 | + | 0.989309i | \(0.546587\pi\) |
−0.989309 | + | 0.145836i | \(0.953413\pi\) | |||||||
\(728\) | −42.0979 | − | 11.6962i | −1.56025 | − | 0.433488i | ||||
\(729\) | 3.24346i | 0.120128i | ||||||||
\(730\) | −17.9491 | − | 15.7495i | −0.664327 | − | 0.582916i | ||||
\(731\) | 6.52451i | 0.241318i | ||||||||
\(732\) | 5.47621 | − | 58.4050i | 0.202407 | − | 2.15871i | ||||
\(733\) | −19.4882 | − | 19.4882i | −0.719813 | − | 0.719813i | 0.248753 | − | 0.968567i | \(-0.419979\pi\) |
−0.968567 | + | 0.248753i | \(0.919979\pi\) | |||||||
\(734\) | −12.5936 | + | 4.53938i | −0.464839 | + | 0.167552i | ||||
\(735\) | −15.4493 | + | 53.5705i | −0.569857 | + | 1.97598i | ||||
\(736\) | −29.6849 | + | 4.75934i | −1.09420 | + | 0.175431i | ||||
\(737\) | 14.8014 | + | 14.8014i | 0.545218 | + | 0.545218i | ||||
\(738\) | −11.6813 | − | 5.49140i | −0.429995 | − | 0.202141i | ||||
\(739\) | 22.6467i | 0.833073i | 0.909119 | + | 0.416536i | \(0.136756\pi\) | ||||
−0.909119 | + | 0.416536i | \(0.863244\pi\) | |||||||
\(740\) | −2.63490 | + | 1.14876i | −0.0968607 | + | 0.0422294i | ||||
\(741\) | 27.5580 | + | 15.9056i | 1.01237 | + | 0.584307i | ||||
\(742\) | −10.4462 | − | 4.91079i | −0.383493 | − | 0.180281i | ||||
\(743\) | 32.8872 | − | 32.8872i | 1.20651 | − | 1.20651i | 0.234365 | − | 0.972149i | \(-0.424699\pi\) |
0.972149 | − | 0.234365i | \(-0.0753011\pi\) | |||||||
\(744\) | 7.43471 | − | 12.6041i | 0.272570 | − | 0.462089i | ||||
\(745\) | −45.4681 | + | 25.1130i | −1.66582 | + | 0.920069i | ||||
\(746\) | −50.4938 | + | 18.2005i | −1.84871 | + | 0.666369i | ||||
\(747\) | 8.14679 | + | 8.14679i | 0.298075 | + | 0.298075i | ||||
\(748\) | −0.797138 | + | 8.50165i | −0.0291462 | + | 0.310851i | ||||
\(749\) | −47.1949 | −1.72447 | ||||||||
\(750\) | −33.2762 | + | 9.89488i | −1.21507 | + | 0.361310i | ||||
\(751\) | 42.2764i | 1.54269i | 0.636420 | + | 0.771343i | \(0.280415\pi\) | ||||
−0.636420 | + | 0.771343i | \(0.719585\pi\) | |||||||
\(752\) | −18.0976 | + | 12.3393i | −0.659953 | + | 0.449968i | ||||
\(753\) | 43.6000 | − | 43.6000i | 1.58887 | − | 1.58887i | ||||
\(754\) | −33.1371 | − | 5.94468i | −1.20678 | − | 0.216493i | ||||
\(755\) | −12.9565 | + | 7.15617i | −0.471536 | + | 0.260440i | ||||
\(756\) | 14.1540 | + | 17.0828i | 0.514776 | + | 0.621297i | ||||
\(757\) | 27.3850 | + | 27.3850i | 0.995323 | + | 0.995323i | 0.999989 | − | 0.00466596i | \(-0.00148523\pi\) |
−0.00466596 | + | 0.999989i | \(0.501485\pi\) | |||||||
\(758\) | 3.91802 | − | 8.33442i | 0.142309 | − | 0.302720i | ||||
\(759\) | 46.7247i | 1.69600i | ||||||||
\(760\) | 18.4764 | − | 17.4588i | 0.670209 | − | 0.633298i | ||||
\(761\) | − | 10.3952i | − | 0.376826i | −0.982090 | − | 0.188413i | \(-0.939666\pi\) | ||
0.982090 | − | 0.188413i | \(-0.0603344\pi\) | |||||||
\(762\) | −7.13857 | − | 3.35585i | −0.258603 | − | 0.121570i | ||||
\(763\) | 9.59634 | + | 9.59634i | 0.347411 | + | 0.347411i | ||||
\(764\) | −31.9694 | + | 26.4882i | −1.15661 | + | 0.958310i | ||||
\(765\) | 1.20297 | − | 4.17128i | 0.0434934 | − | 0.150813i | ||||
\(766\) | −11.9926 | + | 4.32274i | −0.433310 | + | 0.156187i | ||||
\(767\) | −2.91841 | + | 0.782410i | −0.105378 | + | 0.0282512i | ||||
\(768\) | −14.0497 | − | 32.1985i | −0.506973 | − | 1.16186i | ||||
\(769\) | 54.0884 | 1.95048 | 0.975239 | − | 0.221153i | \(-0.0709820\pi\) | ||||
0.975239 | + | 0.221153i | \(0.0709820\pi\) | |||||||
\(770\) | 40.7780 | + | 35.7808i | 1.46954 | + | 1.28945i | ||||
\(771\) | 41.6077i | 1.49846i | ||||||||
\(772\) | −0.934594 | + | 9.96765i | −0.0336368 | + | 0.358744i | ||||
\(773\) | 17.8837 | + | 17.8837i | 0.643231 | + | 0.643231i | 0.951348 | − | 0.308117i | \(-0.0996988\pi\) |
−0.308117 | + | 0.951348i | \(0.599699\pi\) | |||||||
\(774\) | −14.8235 | + | 5.34314i | −0.532820 | + | 0.192055i | ||||
\(775\) | 6.27377 | − | 9.97247i | 0.225361 | − | 0.358222i | ||||
\(776\) | −33.2338 | − | 19.6034i | −1.19302 | − | 0.703721i | ||||
\(777\) | −4.27536 | − | 4.27536i | −0.153378 | − | 0.153378i | ||||
\(778\) | 18.7732 | − | 39.9344i | 0.673053 | − | 1.43172i | ||||
\(779\) | 20.1470 | 0.721842 | ||||||||
\(780\) | 27.6825 | − | 22.0703i | 0.991194 | − | 0.790242i | ||||
\(781\) | 58.7971 | 2.10393 | ||||||||
\(782\) | 3.40943 | − | 7.25254i | 0.121921 | − | 0.259350i | ||||
\(783\) | 12.0872 | + | 12.0872i | 0.431960 | + | 0.431960i | ||||
\(784\) | −44.6325 | − | 8.44396i | −1.59402 | − | 0.301570i | ||||
\(785\) | 16.2679 | + | 4.69153i | 0.580625 | + | 0.167448i | ||||
\(786\) | −3.43651 | + | 1.23869i | −0.122576 | + | 0.0441827i | ||||
\(787\) | −16.5529 | − | 16.5529i | −0.590048 | − | 0.590048i | 0.347597 | − | 0.937644i | \(-0.386998\pi\) |
−0.937644 | + | 0.347597i | \(0.886998\pi\) | |||||||
\(788\) | −49.4219 | − | 4.63393i | −1.76058 | − | 0.165077i | ||||
\(789\) | 16.2346i | 0.577966i | ||||||||
\(790\) | 10.8543 | − | 0.708488i | 0.386179 | − | 0.0252069i | ||||
\(791\) | 59.1269 | 2.10231 | ||||||||
\(792\) | −19.9683 | + | 5.15121i | −0.709543 | + | 0.183040i | ||||
\(793\) | 12.4723 | + | 46.5221i | 0.442906 | + | 1.65205i | ||||
\(794\) | 14.9785 | − | 5.39901i | 0.531567 | − | 0.191604i | ||||
\(795\) | 8.18735 | − | 4.52205i | 0.290376 | − | 0.160381i | ||||
\(796\) | 24.4665 | + | 29.5292i | 0.867191 | + | 1.04664i | ||||
\(797\) | 24.1763 | + | 24.1763i | 0.856370 | + | 0.856370i | 0.990908 | − | 0.134539i | \(-0.0429552\pi\) |
−0.134539 | + | 0.990908i | \(0.542955\pi\) | |||||||
\(798\) | 48.3903 | + | 22.7483i | 1.71300 | + | 0.805283i | ||||
\(799\) | − | 5.83879i | − | 0.206561i | ||||||
\(800\) | −10.5654 | − | 26.2369i | −0.373543 | − | 0.927613i | ||||
\(801\) | 11.4840i | 0.405768i | ||||||||
\(802\) | −20.9696 | + | 44.6066i | −0.740462 | + | 1.57511i | ||||
\(803\) | −21.3806 | − | 21.3806i | −0.754504 | − | 0.754504i | ||||
\(804\) | 17.6768 | − | 14.6461i | 0.623413 | − | 0.516529i | ||||
\(805\) | −24.6163 | − | 44.5688i | −0.867611 | − | 1.57084i | ||||
\(806\) | −2.12160 | + | 11.8263i | −0.0747301 | + | 0.416564i | ||||
\(807\) | −8.21959 | + | 8.21959i | −0.289343 | + | 0.289343i | ||||
\(808\) | −7.30603 | − | 28.3213i | −0.257025 | − | 0.996341i | ||||
\(809\) | − | 30.2268i | − | 1.06272i | −0.847147 | − | 0.531359i | \(-0.821682\pi\) | ||
0.847147 | − | 0.531359i | \(-0.178318\pi\) | |||||||
\(810\) | −35.1752 | + | 2.29598i | −1.23593 | + | 0.0806725i | ||||
\(811\) | 53.8249 | 1.89005 | 0.945023 | − | 0.327003i | \(-0.106039\pi\) | ||||
0.945023 | + | 0.327003i | \(0.106039\pi\) | |||||||
\(812\) | −56.3282 | − | 5.28148i | −1.97673 | − | 0.185344i | ||||
\(813\) | 31.4670 | + | 31.4670i | 1.10360 | + | 1.10360i | ||||
\(814\) | −3.42405 | + | 1.23420i | −0.120013 | + | 0.0432587i | ||||
\(815\) | 6.48366 | − | 22.4820i | 0.227113 | − | 0.787511i | ||||
\(816\) | 9.20122 | + | 1.74077i | 0.322107 | + | 0.0609390i | ||||
\(817\) | 17.3909 | − | 17.3909i | 0.608431 | − | 0.608431i | ||||
\(818\) | −27.5116 | − | 12.9332i | −0.961919 | − | 0.452199i | ||||
\(819\) | 24.3612 | + | 14.0605i | 0.851249 | + | 0.491315i | ||||
\(820\) | 8.19535 | − | 20.8652i | 0.286194 | − | 0.728644i | ||||
\(821\) | − | 32.6885i | − | 1.14084i | −0.821355 | − | 0.570418i | \(-0.806781\pi\) | ||
0.821355 | − | 0.570418i | \(-0.193219\pi\) | |||||||
\(822\) | −1.04275 | − | 0.490197i | −0.0363700 | − | 0.0170976i | ||||
\(823\) | −23.8035 | − | 23.8035i | −0.829738 | − | 0.829738i | 0.157743 | − | 0.987480i | \(-0.449578\pi\) |
−0.987480 | + | 0.157743i | \(0.949578\pi\) | |||||||
\(824\) | −6.77551 | + | 11.4866i | −0.236036 | + | 0.400154i | ||||
\(825\) | −42.8620 | + | 9.75817i | −1.49226 | + | 0.339736i | ||||
\(826\) | −4.77668 | + | 1.72176i | −0.166202 | + | 0.0599076i | ||||
\(827\) | 3.46542 | + | 3.46542i | 0.120505 | + | 0.120505i | 0.764787 | − | 0.644283i | \(-0.222844\pi\) |
−0.644283 | + | 0.764787i | \(0.722844\pi\) | |||||||
\(828\) | 19.2696 | + | 1.80677i | 0.669666 | + | 0.0627897i | ||||
\(829\) | − | 5.02884i | − | 0.174659i | −0.996179 | − | 0.0873295i | \(-0.972167\pi\) | ||
0.996179 | − | 0.0873295i | \(-0.0278333\pi\) | |||||||
\(830\) | −13.1970 | + | 15.0401i | −0.458075 | + | 0.522050i | ||||
\(831\) | − | 49.7547i | − | 1.72597i | ||||||
\(832\) | 20.0146 | + | 20.7705i | 0.693882 | + | 0.720089i | ||||
\(833\) | 8.56195 | − | 8.56195i | 0.296654 | − | 0.296654i | ||||
\(834\) | 6.83177 | + | 18.9534i | 0.236565 | + | 0.656303i | ||||
\(835\) | 14.6679 | + | 4.23013i | 0.507605 | + | 0.146390i | ||||
\(836\) | 24.7857 | − | 20.5362i | 0.857230 | − | 0.710258i | ||||
\(837\) | 4.31379 | − | 4.31379i | 0.149106 | − | 0.149106i | ||||
\(838\) | 18.2977 | + | 8.60178i | 0.632084 | + | 0.297144i | ||||
\(839\) | − | 20.8587i | − | 0.720123i | −0.932929 | − | 0.360061i | \(-0.882756\pi\) | ||
0.932929 | − | 0.360061i | \(-0.117244\pi\) | |||||||
\(840\) | 43.2433 | − | 40.8617i | 1.49204 | − | 1.40986i | ||||
\(841\) | −14.5926 | −0.503195 | ||||||||
\(842\) | 20.0733 | − | 42.7001i | 0.691773 | − | 1.47154i | ||||
\(843\) | −23.5877 | + | 23.5877i | −0.812403 | + | 0.812403i | ||||
\(844\) | −31.8790 | + | 26.4134i | −1.09732 | + | 0.909186i | ||||
\(845\) | −15.0027 | + | 24.8982i | −0.516109 | + | 0.856523i | ||||
\(846\) | 13.2656 | − | 4.78158i | 0.456079 | − | 0.164394i | ||||
\(847\) | 15.2490 | + | 15.2490i | 0.523962 | + | 0.523962i | ||||
\(848\) | 4.29280 | + | 6.29610i | 0.147415 | + | 0.216209i | ||||
\(849\) | − | 41.7098i | − | 1.43148i | ||||||
\(850\) | 7.36500 | + | 1.61292i | 0.252618 | + | 0.0553227i | ||||
\(851\) | 3.41592 | 0.117096 | ||||||||
\(852\) | 6.01954 | − | 64.1997i | 0.206226 | − | 2.19945i | ||||
\(853\) | −29.8918 | − | 29.8918i | −1.02348 | − | 1.02348i | −0.999718 | − | 0.0237593i | \(-0.992436\pi\) |
−0.0237593 | − | 0.999718i | \(-0.507564\pi\) | |||||||
\(854\) | 27.4464 | + | 76.1446i | 0.939196 | + | 2.60562i | ||||
\(855\) | −14.3249 | + | 7.91196i | −0.489902 | + | 0.270583i | ||||
\(856\) | 26.8359 | + | 15.8295i | 0.917231 | + | 0.541041i | ||||
\(857\) | −12.2099 | − | 12.2099i | −0.417081 | − | 0.417081i | 0.467115 | − | 0.884196i | \(-0.345293\pi\) |
−0.884196 | + | 0.467115i | \(0.845293\pi\) | |||||||
\(858\) | 36.7983 | − | 25.6036i | 1.25627 | − | 0.874094i | ||||
\(859\) | 19.2167 | 0.655667 | 0.327833 | − | 0.944736i | \(-0.393682\pi\) | ||||
0.327833 | + | 0.944736i | \(0.393682\pi\) | |||||||
\(860\) | −10.9366 | − | 25.0850i | −0.372935 | − | 0.855393i | ||||
\(861\) | 47.1533 | 1.60698 | ||||||||
\(862\) | −4.59672 | − | 2.16093i | −0.156565 | − | 0.0736014i | ||||
\(863\) | −10.8080 | + | 10.8080i | −0.367908 | + | 0.367908i | −0.866714 | − | 0.498806i | \(-0.833772\pi\) |
0.498806 | + | 0.866714i | \(0.333772\pi\) | |||||||
\(864\) | −2.31850 | − | 14.4609i | −0.0788771 | − | 0.491971i | ||||
\(865\) | −9.61304 | + | 33.3332i | −0.326853 | + | 1.13336i | ||||
\(866\) | 25.9612 | − | 9.35771i | 0.882196 | − | 0.317988i | ||||
\(867\) | 24.6283 | − | 24.6283i | 0.836421 | − | 0.836421i | ||||
\(868\) | −1.88491 | + | 20.1030i | −0.0639779 | + | 0.682339i | ||||
\(869\) | 13.7733 | 0.467228 | ||||||||
\(870\) | 30.2353 | − | 34.4580i | 1.02507 | − | 1.16824i | ||||
\(871\) | −9.42202 | + | 16.3246i | −0.319253 | + | 0.553136i | ||||
\(872\) | −2.23797 | − | 8.67532i | −0.0757871 | − | 0.293784i | ||||
\(873\) | 17.5642 | + | 17.5642i | 0.594457 | + | 0.594457i | ||||
\(874\) | −28.4192 | + | 10.2437i | −0.961292 | + | 0.346498i | ||||
\(875\) | 35.7433 | − | 31.8892i | 1.20834 | − | 1.07805i | ||||
\(876\) | −25.5340 | + | 21.1562i | −0.862715 | + | 0.714803i | ||||
\(877\) | −4.13679 | + | 4.13679i | −0.139689 | + | 0.139689i | −0.773494 | − | 0.633804i | \(-0.781493\pi\) |
0.633804 | + | 0.773494i | \(0.281493\pi\) | |||||||
\(878\) | −21.8789 | − | 10.2853i | −0.738378 | − | 0.347112i | ||||
\(879\) | 26.4383i | 0.891743i | ||||||||
\(880\) | −11.1860 | − | 34.0228i | −0.377078 | − | 1.14691i | ||||
\(881\) | −22.4797 | −0.757362 | −0.378681 | − | 0.925527i | \(-0.623622\pi\) | ||||
−0.378681 | + | 0.925527i | \(0.623622\pi\) | |||||||
\(882\) | 26.4642 | + | 12.4408i | 0.891094 | + | 0.418905i | ||||
\(883\) | 6.83627 | + | 6.83627i | 0.230059 | + | 0.230059i | 0.812717 | − | 0.582658i | \(-0.197987\pi\) |
−0.582658 | + | 0.812717i | \(0.697987\pi\) | |||||||
\(884\) | −7.58004 | + | 1.28904i | −0.254944 | + | 0.0433552i | ||||
\(885\) | 1.14006 | − | 3.95316i | 0.0383228 | − | 0.132884i | ||||
\(886\) | 0.724575 | + | 2.01019i | 0.0243426 | + | 0.0675337i | ||||
\(887\) | −33.7719 | + | 33.7719i | −1.13395 | + | 1.13395i | −0.144434 | + | 0.989514i | \(0.546136\pi\) |
−0.989514 | + | 0.144434i | \(0.953864\pi\) | |||||||
\(888\) | 0.997059 | + | 3.86503i | 0.0334591 | + | 0.129702i | ||||
\(889\) | 10.8838 | 0.365032 | ||||||||
\(890\) | −19.9021 | + | 1.29906i | −0.667119 | + | 0.0435446i | ||||
\(891\) | −44.6348 | −1.49532 | ||||||||
\(892\) | −16.6583 | − | 1.56193i | −0.557761 | − | 0.0522971i | ||||
\(893\) | −15.5631 | + | 15.5631i | −0.520800 | + | 0.520800i | ||||
\(894\) | 24.4587 | + | 67.8560i | 0.818023 | + | 2.26944i | ||||
\(895\) | 13.5522 | − | 7.48516i | 0.453000 | − | 0.250201i | ||||
\(896\) | 36.4447 | + | 31.9588i | 1.21753 | + | 1.06767i | ||||
\(897\) | −40.6380 | + | 10.8949i | −1.35686 | + | 0.363769i | ||||
\(898\) | −10.5337 | − | 4.95189i | −0.351513 | − | 0.165247i | ||||
\(899\) | 15.5578i | 0.518881i | ||||||||
\(900\) | 2.36694 | + | 18.0539i | 0.0788980 | + | 0.601798i | ||||
\(901\) | −2.03129 | −0.0676722 | ||||||||
\(902\) | 12.0760 | − | 25.6882i | 0.402088 | − | 0.855322i | ||||
\(903\) | 40.7028 | − | 40.7028i | 1.35450 | − | 1.35450i | ||||
\(904\) | −33.6206 | − | 19.8316i | −1.11820 | − | 0.659588i | ||||
\(905\) | 20.7608 | − | 11.4667i | 0.690113 | − | 0.381165i | ||||
\(906\) | 6.96974 | + | 19.3362i | 0.231554 | + | 0.642402i | ||||
\(907\) | 20.3060 | − | 20.3060i | 0.674250 | − | 0.674250i | −0.284443 | − | 0.958693i | \(-0.591809\pi\) |
0.958693 | + | 0.284443i | \(0.0918087\pi\) | |||||||
\(908\) | 0.152901 | − | 1.63073i | 0.00507421 | − | 0.0541176i | ||||
\(909\) | 18.8292i | 0.624524i | ||||||||
\(910\) | −21.6115 | + | 43.8090i | −0.716414 | + | 1.45225i | ||||
\(911\) | − | 25.1696i | − | 0.833905i | −0.908928 | − | 0.416953i | \(-0.863098\pi\) | ||
0.908928 | − | 0.416953i | \(-0.136902\pi\) | |||||||
\(912\) | −19.8856 | − | 29.1656i | −0.658479 | − | 0.965768i | ||||
\(913\) | −17.9154 | + | 17.9154i | −0.592914 | + | 0.592914i | ||||
\(914\) | 24.1875 | − | 8.71839i | 0.800051 | − | 0.288379i | ||||
\(915\) | −63.0170 | − | 18.1736i | −2.08328 | − | 0.600802i | ||||
\(916\) | 7.20900 | + | 8.70074i | 0.238192 | + | 0.287481i | ||||
\(917\) | 3.56403 | − | 3.56403i | 0.117695 | − | 0.117695i | ||||
\(918\) | 3.53306 | + | 1.66090i | 0.116608 | + | 0.0548178i | ||||
\(919\) | 16.9111 | 0.557845 | 0.278923 | − | 0.960314i | \(-0.410023\pi\) | ||||
0.278923 | + | 0.960314i | \(0.410023\pi\) | |||||||
\(920\) | −0.951418 | + | 33.5991i | −0.0313673 | + | 1.10773i | ||||
\(921\) | − | 20.6790i | − | 0.681398i | ||||||
\(922\) | 8.92197 | − | 18.9788i | 0.293829 | − | 0.625034i | ||||
\(923\) | 13.7098 | + | 51.1378i | 0.451263 | + | 1.68322i | ||||
\(924\) | 58.0099 | − | 48.0641i | 1.90839 | − | 1.58119i | ||||
\(925\) | 0.713394 | + | 3.13353i | 0.0234563 | + | 0.103030i | ||||
\(926\) | −35.9425 | + | 12.9555i | −1.18114 | + | 0.425744i | ||||
\(927\) | 6.07069 | − | 6.07069i | 0.199388 | − | 0.199388i | ||||
\(928\) | 30.2577 | + | 21.8960i | 0.993259 | + | 0.718771i | ||||
\(929\) | −15.9513 | −0.523345 | −0.261672 | − | 0.965157i | \(-0.584274\pi\) | ||||
−0.261672 | + | 0.965157i | \(0.584274\pi\) | |||||||
\(930\) | −12.2977 | − | 10.7907i | −0.403259 | − | 0.353841i | ||||
\(931\) | −45.6433 | −1.49590 | ||||||||
\(932\) | −15.3391 | − | 1.43824i | −0.502450 | − | 0.0471111i | ||||
\(933\) | −28.5168 | + | 28.5168i | −0.933598 | + | 0.933598i | ||||
\(934\) | −5.11705 | + | 1.84444i | −0.167435 | + | 0.0603520i | ||||
\(935\) | 9.17298 | + | 2.64542i | 0.299989 | + | 0.0865145i | ||||
\(936\) | −9.13621 | − | 16.1660i | −0.298626 | − | 0.528401i | ||||
\(937\) | 22.6698 | + | 22.6698i | 0.740588 | + | 0.740588i | 0.972691 | − | 0.232103i | \(-0.0745606\pi\) |
−0.232103 | + | 0.972691i | \(0.574561\pi\) | |||||||
\(938\) | −13.4755 | + | 28.6650i | −0.439990 | + | 0.935947i | ||||
\(939\) | −3.90296 | −0.127368 | ||||||||
\(940\) | 9.78716 | + | 22.4486i | 0.319222 | + | 0.732193i | ||||
\(941\) | − | 29.4209i | − | 0.959095i | −0.877516 | − | 0.479548i | \(-0.840801\pi\) | ||
0.877516 | − | 0.479548i | \(-0.159199\pi\) | |||||||
\(942\) | 10.0024 | − | 21.2771i | 0.325896 | − | 0.693247i | ||||
\(943\) | −18.8373 | + | 18.8373i | −0.613426 | + | 0.613426i | ||||
\(944\) | 3.29359 | + | 0.623110i | 0.107197 | + | 0.0202805i | ||||
\(945\) | 21.7116 | − | 11.9918i | 0.706280 | − | 0.390093i | ||||
\(946\) | −11.7500 | − | 32.5981i | −0.382025 | − | 1.05985i | ||||
\(947\) | −11.1580 | − | 11.1580i | −0.362588 | − | 0.362588i | 0.502177 | − | 0.864765i | \(-0.332533\pi\) |
−0.864765 | + | 0.502177i | \(0.832533\pi\) | |||||||
\(948\) | 1.41009 | − | 15.0389i | 0.0457975 | − | 0.488441i | ||||
\(949\) | 13.6101 | − | 23.5807i | 0.441801 | − | 0.765462i | ||||
\(950\) | −15.3320 | − | 23.9304i | −0.497436 | − | 0.776405i | ||||
\(951\) | 0.946330 | 0.0306869 | ||||||||
\(952\) | −12.5114 | + | 3.22755i | −0.405496 | + | 0.104605i | ||||
\(953\) | 22.8350 | − | 22.8350i | 0.739699 | − | 0.739699i | −0.232820 | − | 0.972520i | \(-0.574795\pi\) |
0.972520 | + | 0.232820i | \(0.0747954\pi\) | |||||||
\(954\) | −1.66349 | − | 4.61504i | −0.0538575 | − | 0.149417i | ||||
\(955\) | 22.4418 | + | 40.6318i | 0.726201 | + | 1.31482i | ||||
\(956\) | 2.67740 | − | 2.21836i | 0.0865932 | − | 0.0717468i | ||||
\(957\) | 41.0456 | − | 41.0456i | 1.32682 | − | 1.32682i | ||||
\(958\) | 8.37287 | − | 17.8108i | 0.270515 | − | 0.575440i | ||||
\(959\) | 1.58983 | 0.0513382 | ||||||||
\(960\) | −38.2942 | + | 8.73059i | −1.23594 | + | 0.281779i | ||||
\(961\) | −25.4476 | −0.820890 | ||||||||
\(962\) | −1.87182 | − | 2.69023i | −0.0603497 | − | 0.0867365i | ||||
\(963\) | −14.1828 | − | 14.1828i | −0.457036 | − | 0.457036i | ||||
\(964\) | −2.95493 | + | 2.44831i | −0.0951719 | + | 0.0788547i | ||||
\(965\) | 10.7547 | + | 3.10159i | 0.346208 | + | 0.0998438i | ||||
\(966\) | −66.5140 | + | 23.9750i | −2.14005 | + | 0.771383i | ||||
\(967\) | −35.4854 | − | 35.4854i | −1.14113 | − | 1.14113i | −0.988243 | − | 0.152890i | \(-0.951142\pi\) |
−0.152890 | − | 0.988243i | \(-0.548858\pi\) | |||||||
\(968\) | −3.55623 | − | 13.7855i | −0.114302 | − | 0.443082i | ||||
\(969\) | 9.40960 | 0.302280 | ||||||||
\(970\) | −28.4522 | + | 32.4259i | −0.913546 | + | 1.04113i | ||||
\(971\) | − | 28.9193i | − | 0.928065i | −0.885818 | − | 0.464032i | \(-0.846402\pi\) | ||
0.885818 | − | 0.464032i | \(-0.153598\pi\) | |||||||
\(972\) | −3.11948 | + | 33.2699i | −0.100057 | + | 1.06713i | ||||
\(973\) | −19.6567 | − | 19.6567i | −0.630164 | − | 0.630164i | ||||
\(974\) | −9.55008 | − | 26.4948i | −0.306004 | − | 0.848949i | ||||
\(975\) | −18.4812 | − | 35.0031i | −0.591871 | − | 1.12100i | ||||
\(976\) | 9.93295 | − | 52.5029i | 0.317946 | − | 1.68058i | ||||
\(977\) | −12.4041 | + | 12.4041i | −0.396843 | + | 0.396843i | −0.877118 | − | 0.480275i | \(-0.840537\pi\) |
0.480275 | + | 0.877118i | \(0.340537\pi\) | |||||||
\(978\) | −29.4048 | − | 13.8232i | −0.940263 | − | 0.442019i | ||||
\(979\) | −25.2543 | −0.807131 | ||||||||
\(980\) | −18.5666 | + | 47.2703i | −0.593090 | + | 1.50999i | ||||
\(981\) | 5.76771i | 0.184149i | ||||||||
\(982\) | −3.44221 | + | 7.32228i | −0.109845 | + | 0.233663i | ||||
\(983\) | 17.3330 | − | 17.3330i | 0.552836 | − | 0.552836i | −0.374422 | − | 0.927258i | \(-0.622159\pi\) |
0.927258 | + | 0.374422i | \(0.122159\pi\) | |||||||
\(984\) | −26.8122 | − | 15.8156i | −0.854742 | − | 0.504182i | ||||
\(985\) | −15.3784 | + | 53.3245i | −0.489997 | + | 1.69906i | ||||
\(986\) | −9.36606 | + | 3.37600i | −0.298276 | + | 0.107514i | ||||
\(987\) | −36.4249 | + | 36.4249i | −1.15942 | + | 1.15942i | ||||
\(988\) | 23.6403 | + | 16.7685i | 0.752097 | + | 0.533476i | ||||
\(989\) | 32.5207i | 1.03410i | ||||||||
\(990\) | 1.50174 | + | 23.0072i | 0.0477283 | + | 0.731216i | ||||
\(991\) | − | 56.4299i | − | 1.79255i | −0.443495 | − | 0.896277i | \(-0.646261\pi\) | ||
0.443495 | − | 0.896277i | \(-0.353739\pi\) | |||||||
\(992\) | 7.81446 | − | 10.7987i | 0.248109 | − | 0.342859i | ||||
\(993\) | −2.40133 | − | 2.40133i | −0.0762040 | − | 0.0762040i | ||||
\(994\) | 30.1695 | + | 83.6994i | 0.956918 | + | 2.65478i | ||||
\(995\) | 37.5305 | − | 20.7289i | 1.18980 | − | 0.657151i | ||||
\(996\) | 17.7275 | + | 21.3958i | 0.561716 | + | 0.677950i | ||||
\(997\) | −26.2285 | − | 26.2285i | −0.830664 | − | 0.830664i | 0.156943 | − | 0.987608i | \(-0.449836\pi\) |
−0.987608 | + | 0.156943i | \(0.949836\pi\) | |||||||
\(998\) | 11.2095 | − | 23.8449i | 0.354831 | − | 0.754797i | ||||
\(999\) | 1.66406i | 0.0526486i |
(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 | 260.2.p.d.207.5 | yes | 64 | |
4.3 | odd | 2 | inner | 260.2.p.d.207.21 | yes | 64 | |
5.3 | odd | 4 | inner | 260.2.p.d.103.12 | yes | 64 | |
13.12 | even | 2 | inner | 260.2.p.d.207.28 | yes | 64 | |
20.3 | even | 4 | inner | 260.2.p.d.103.28 | yes | 64 | |
52.51 | odd | 2 | inner | 260.2.p.d.207.12 | yes | 64 | |
65.38 | odd | 4 | inner | 260.2.p.d.103.21 | yes | 64 | |
260.103 | even | 4 | inner | 260.2.p.d.103.5 | ✓ | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.p.d.103.5 | ✓ | 64 | 260.103 | even | 4 | inner | |
260.2.p.d.103.12 | yes | 64 | 5.3 | odd | 4 | inner | |
260.2.p.d.103.21 | yes | 64 | 65.38 | odd | 4 | inner | |
260.2.p.d.103.28 | yes | 64 | 20.3 | even | 4 | inner | |
260.2.p.d.207.5 | yes | 64 | 1.1 | even | 1 | trivial | |
260.2.p.d.207.12 | yes | 64 | 52.51 | odd | 2 | inner | |
260.2.p.d.207.21 | yes | 64 | 4.3 | odd | 2 | inner | |
260.2.p.d.207.28 | yes | 64 | 13.12 | even | 2 | inner |