Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(7,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(114))
chi = DirichletCharacter(H, H._module([50]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.i (of order \(57\), degree \(36\), 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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(576\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{57})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{57}]$ |
Embedding invariants
Embedding label | 505.6 | ||
Character | \(\chi\) | \(=\) | 722.505 |
Dual form | 722.2.i.a.539.6 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{47}{57}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.851919 | + | 0.523673i | −0.602398 | + | 0.370293i | ||||
\(3\) | −0.226121 | + | 0.603942i | −0.130551 | + | 0.348686i | −0.985416 | − | 0.170165i | \(-0.945570\pi\) |
0.854865 | + | 0.518851i | \(0.173640\pi\) | |||||||
\(4\) | 0.451533 | − | 0.892254i | 0.225767 | − | 0.446127i | ||||
\(5\) | −0.455160 | − | 0.619267i | −0.203554 | − | 0.276945i | 0.692001 | − | 0.721897i | \(-0.256729\pi\) |
−0.895554 | + | 0.444952i | \(0.853221\pi\) | |||||||
\(6\) | −0.123631 | − | 0.632923i | −0.0504723 | − | 0.258390i | ||||
\(7\) | −2.30283 | + | 3.52474i | −0.870387 | + | 1.33223i | 0.0718966 | + | 0.997412i | \(0.477095\pi\) |
−0.942284 | + | 0.334815i | \(0.891326\pi\) | |||||||
\(8\) | 0.0825793 | + | 0.996584i | 0.0291962 | + | 0.352346i | ||||
\(9\) | 1.94870 | + | 1.69713i | 0.649568 | + | 0.565709i | ||||
\(10\) | 0.712053 | + | 0.289211i | 0.225171 | + | 0.0914565i | ||||
\(11\) | −4.47641 | − | 1.53675i | −1.34969 | − | 0.463348i | −0.447342 | − | 0.894363i | \(-0.647629\pi\) |
−0.902345 | + | 0.431015i | \(0.858156\pi\) | |||||||
\(12\) | 0.436769 | + | 0.474457i | 0.126084 | + | 0.136964i | ||||
\(13\) | 3.26603 | + | 3.96572i | 0.905833 | + | 1.09989i | 0.994594 | + | 0.103840i | \(0.0331129\pi\) |
−0.0887607 | + | 0.996053i | \(0.528291\pi\) | |||||||
\(14\) | 0.116013 | − | 4.20872i | 0.0310057 | − | 1.12483i | ||||
\(15\) | 0.476923 | − | 0.134861i | 0.123141 | − | 0.0348209i | ||||
\(16\) | −0.592235 | − | 0.805765i | −0.148059 | − | 0.201441i | ||||
\(17\) | −2.80638 | − | 5.54555i | −0.680646 | − | 1.34499i | −0.926724 | − | 0.375743i | \(-0.877387\pi\) |
0.246078 | − | 0.969250i | \(-0.420858\pi\) | |||||||
\(18\) | −2.54888 | − | 0.425333i | −0.600777 | − | 0.100252i | ||||
\(19\) | 3.79858 | − | 2.13794i | 0.871454 | − | 0.490477i | ||||
\(20\) | −0.758064 | + | 0.126498i | −0.169508 | + | 0.0282859i | ||||
\(21\) | −1.60802 | − | 2.18779i | −0.350899 | − | 0.477416i | ||||
\(22\) | 4.61829 | − | 1.03498i | 0.984623 | − | 0.220659i | ||||
\(23\) | 0.438968 | + | 1.17243i | 0.0915311 | + | 0.244469i | 0.974265 | − | 0.225404i | \(-0.0723701\pi\) |
−0.882734 | + | 0.469872i | \(0.844300\pi\) | |||||||
\(24\) | −0.620552 | − | 0.175475i | −0.126670 | − | 0.0358188i | ||||
\(25\) | 1.31625 | − | 4.20829i | 0.263251 | − | 0.841659i | ||||
\(26\) | −4.85913 | − | 1.66814i | −0.952954 | − | 0.327150i | ||||
\(27\) | −3.16709 | + | 1.71394i | −0.609507 | + | 0.329848i | ||||
\(28\) | 2.10516 | + | 3.64625i | 0.397838 | + | 0.689076i | ||||
\(29\) | −7.09196 | − | 0.391274i | −1.31694 | − | 0.0726578i | −0.617061 | − | 0.786915i | \(-0.711677\pi\) |
−0.699883 | + | 0.714258i | \(0.746764\pi\) | |||||||
\(30\) | −0.335677 | + | 0.364642i | −0.0612859 | + | 0.0665742i | ||||
\(31\) | −8.88385 | + | 4.80770i | −1.59559 | + | 0.863488i | −0.597486 | + | 0.801880i | \(0.703833\pi\) |
−0.998100 | + | 0.0616082i | \(0.980377\pi\) | |||||||
\(32\) | 0.926494 | + | 0.376309i | 0.163783 | + | 0.0665227i | ||||
\(33\) | 1.94032 | − | 2.35600i | 0.337766 | − | 0.410127i | ||||
\(34\) | 5.29486 | + | 3.25474i | 0.908061 | + | 0.558183i | ||||
\(35\) | 3.23091 | − | 0.178254i | 0.546124 | − | 0.0301305i | ||||
\(36\) | 2.39417 | − | 0.972430i | 0.399029 | − | 0.162072i | ||||
\(37\) | −3.09978 | − | 1.06416i | −0.509601 | − | 0.174946i | 0.0578946 | − | 0.998323i | \(-0.481561\pi\) |
−0.567496 | + | 0.823376i | \(0.692088\pi\) | |||||||
\(38\) | −2.11650 | + | 3.81057i | −0.343342 | + | 0.618156i | ||||
\(39\) | −3.13358 | + | 1.07576i | −0.501775 | + | 0.172260i | ||||
\(40\) | 0.579565 | − | 0.504744i | 0.0916373 | − | 0.0798070i | ||||
\(41\) | 0.213113 | + | 0.207320i | 0.0332827 | + | 0.0323779i | 0.713750 | − | 0.700400i | \(-0.246995\pi\) |
−0.680467 | + | 0.732778i | \(0.738223\pi\) | |||||||
\(42\) | 2.51559 | + | 1.02175i | 0.388164 | + | 0.157659i | ||||
\(43\) | −11.3786 | + | 4.62159i | −1.73522 | + | 0.704786i | −0.735596 | + | 0.677420i | \(0.763098\pi\) |
−0.999625 | + | 0.0273662i | \(0.991288\pi\) | |||||||
\(44\) | −3.39242 | + | 3.30020i | −0.511427 | + | 0.497523i | ||||
\(45\) | 0.164004 | − | 1.97923i | 0.0244483 | − | 0.295047i | ||||
\(46\) | −0.987936 | − | 0.768941i | −0.145663 | − | 0.113374i | ||||
\(47\) | −0.256574 | − | 1.31351i | −0.0374251 | − | 0.191596i | 0.958052 | − | 0.286593i | \(-0.0925227\pi\) |
−0.995478 | + | 0.0949974i | \(0.969716\pi\) | |||||||
\(48\) | 0.620552 | − | 0.175475i | 0.0895690 | − | 0.0253277i | ||||
\(49\) | −4.30891 | − | 9.82334i | −0.615559 | − | 1.40333i | ||||
\(50\) | 1.08243 | + | 4.27441i | 0.153078 | + | 0.604493i | ||||
\(51\) | 3.98377 | − | 0.440924i | 0.557840 | − | 0.0617417i | ||||
\(52\) | 5.01315 | − | 1.12347i | 0.695199 | − | 0.155798i | ||||
\(53\) | 0.880841 | + | 4.50942i | 0.120993 | + | 0.619416i | 0.991801 | + | 0.127793i | \(0.0407892\pi\) |
−0.870808 | + | 0.491623i | \(0.836404\pi\) | |||||||
\(54\) | 1.80056 | − | 3.11866i | 0.245025 | − | 0.424396i | ||||
\(55\) | 1.08582 | + | 3.47156i | 0.146412 | + | 0.468105i | ||||
\(56\) | −3.70287 | − | 2.00389i | −0.494817 | − | 0.267781i | ||||
\(57\) | 0.432254 | + | 2.77756i | 0.0572534 | + | 0.367896i | ||||
\(58\) | 6.24668 | − | 3.38053i | 0.820229 | − | 0.443886i | ||||
\(59\) | −8.16830 | − | 7.94624i | −1.06342 | − | 1.03451i | −0.999331 | − | 0.0365687i | \(-0.988357\pi\) |
−0.0640907 | − | 0.997944i | \(-0.520415\pi\) | |||||||
\(60\) | 0.0950163 | − | 0.486431i | 0.0122666 | − | 0.0627979i | ||||
\(61\) | −4.84823 | + | 2.28794i | −0.620752 | + | 0.292940i | −0.711231 | − | 0.702958i | \(-0.751862\pi\) |
0.0904788 | + | 0.995898i | \(0.471160\pi\) | |||||||
\(62\) | 5.05066 | − | 8.74800i | 0.641435 | − | 1.11100i | ||||
\(63\) | −10.4695 | + | 2.96048i | −1.31903 | + | 0.372986i | ||||
\(64\) | −0.986361 | + | 0.164595i | −0.123295 | + | 0.0205743i | ||||
\(65\) | 0.969275 | − | 3.82758i | 0.120224 | − | 0.474753i | ||||
\(66\) | −0.419222 | + | 3.02321i | −0.0516027 | + | 0.372132i | ||||
\(67\) | 12.4910 | − | 8.66108i | 1.52602 | − | 1.05812i | 0.551405 | − | 0.834238i | \(-0.314092\pi\) |
0.974616 | − | 0.223882i | \(-0.0718731\pi\) | |||||||
\(68\) | −6.21521 | −0.753705 | ||||||||
\(69\) | −0.807340 | −0.0971924 | ||||||||
\(70\) | −2.65913 | + | 1.84380i | −0.317827 | + | 0.220376i | ||||
\(71\) | 5.49480 | + | 2.59306i | 0.652112 | + | 0.307739i | 0.724129 | − | 0.689664i | \(-0.242242\pi\) |
−0.0720170 | + | 0.997403i | \(0.522944\pi\) | |||||||
\(72\) | −1.53041 | + | 2.08220i | −0.180360 | + | 0.245389i | ||||
\(73\) | −0.384247 | − | 0.759292i | −0.0449727 | − | 0.0888684i | 0.868661 | − | 0.495407i | \(-0.164981\pi\) |
−0.913633 | + | 0.406539i | \(0.866736\pi\) | |||||||
\(74\) | 3.19803 | − | 0.716696i | 0.371764 | − | 0.0833142i | ||||
\(75\) | 2.24393 | + | 1.74652i | 0.259107 | + | 0.201671i | ||||
\(76\) | −0.192401 | − | 4.35465i | −0.0220699 | − | 0.499513i | ||||
\(77\) | 15.7250 | − | 12.2393i | 1.79204 | − | 1.39480i | ||||
\(78\) | 2.10621 | − | 2.55743i | 0.238482 | − | 0.289572i | ||||
\(79\) | −8.77164 | + | 3.56273i | −0.986887 | + | 0.400839i | −0.811941 | − | 0.583739i | \(-0.801589\pi\) |
−0.174946 | + | 0.984578i | \(0.555975\pi\) | |||||||
\(80\) | −0.229422 | + | 0.733504i | −0.0256502 | + | 0.0820082i | ||||
\(81\) | 0.745838 | + | 5.37860i | 0.0828709 | + | 0.597622i | ||||
\(82\) | −0.290123 | − | 0.0650182i | −0.0320388 | − | 0.00718005i | ||||
\(83\) | 4.15725 | + | 9.47758i | 0.456318 | + | 1.04030i | 0.981873 | + | 0.189540i | \(0.0606997\pi\) |
−0.525555 | + | 0.850759i | \(0.676142\pi\) | |||||||
\(84\) | −2.67814 | + | 0.446903i | −0.292209 | + | 0.0487611i | ||||
\(85\) | −2.15683 | + | 4.26201i | −0.233941 | + | 0.462280i | ||||
\(86\) | 7.27346 | − | 9.89589i | 0.784317 | − | 1.06710i | ||||
\(87\) | 1.83995 | − | 4.19466i | 0.197263 | − | 0.449715i | ||||
\(88\) | 1.16184 | − | 4.58802i | 0.123853 | − | 0.489085i | ||||
\(89\) | 3.68568 | − | 7.28311i | 0.390681 | − | 0.772008i | −0.609096 | − | 0.793096i | \(-0.708468\pi\) |
0.999778 | + | 0.0210888i | \(0.00671327\pi\) | |||||||
\(90\) | 0.896753 | + | 1.77203i | 0.0945260 | + | 0.186789i | ||||
\(91\) | −21.4992 | + | 2.37954i | −2.25373 | + | 0.249443i | ||||
\(92\) | 1.24432 | + | 0.137721i | 0.129729 | + | 0.0143584i | ||||
\(93\) | −0.894747 | − | 6.45245i | −0.0927810 | − | 0.669088i | ||||
\(94\) | 0.906432 | + | 0.984647i | 0.0934913 | + | 0.101559i | ||||
\(95\) | −3.05292 | − | 1.37923i | −0.313223 | − | 0.141506i | ||||
\(96\) | −0.436769 | + | 0.474457i | −0.0445775 | + | 0.0484241i | ||||
\(97\) | 8.27192 | + | 5.73562i | 0.839887 | + | 0.582364i | 0.909733 | − | 0.415193i | \(-0.136286\pi\) |
−0.0698465 | + | 0.997558i | \(0.522251\pi\) | |||||||
\(98\) | 8.81506 | + | 6.11223i | 0.890456 | + | 0.617428i | ||||
\(99\) | −6.11513 | − | 10.5917i | −0.614593 | − | 1.06451i | ||||
\(100\) | −3.16054 | − | 3.07462i | −0.316054 | − | 0.307462i | ||||
\(101\) | −5.38548 | − | 4.69022i | −0.535876 | − | 0.466695i | 0.345961 | − | 0.938249i | \(-0.387553\pi\) |
−0.881837 | + | 0.471554i | \(0.843693\pi\) | |||||||
\(102\) | −3.16295 | + | 2.46183i | −0.313179 | + | 0.243757i | ||||
\(103\) | −6.18063 | − | 9.46015i | −0.608995 | − | 0.932137i | −0.999931 | − | 0.0117189i | \(-0.996270\pi\) |
0.390936 | − | 0.920418i | \(-0.372151\pi\) | |||||||
\(104\) | −3.68247 | + | 3.58236i | −0.361096 | + | 0.351279i | ||||
\(105\) | −0.622921 | + | 1.99159i | −0.0607909 | + | 0.194359i | ||||
\(106\) | −3.11186 | − | 3.38039i | −0.302251 | − | 0.328332i | ||||
\(107\) | −5.08943 | − | 2.75426i | −0.492014 | − | 0.266264i | 0.210942 | − | 0.977499i | \(-0.432347\pi\) |
−0.702955 | + | 0.711234i | \(0.748137\pi\) | |||||||
\(108\) | 0.0992264 | + | 3.59975i | 0.00954807 | + | 0.346386i | ||||
\(109\) | 1.24895 | − | 6.39392i | 0.119628 | − | 0.612426i | −0.872646 | − | 0.488354i | \(-0.837598\pi\) |
0.992273 | − | 0.124072i | \(-0.0395955\pi\) | |||||||
\(110\) | −2.74299 | − | 2.38887i | −0.261534 | − | 0.227770i | ||||
\(111\) | 1.34361 | − | 1.63146i | 0.127530 | − | 0.154851i | ||||
\(112\) | 4.20393 | − | 0.231937i | 0.397234 | − | 0.0219160i | ||||
\(113\) | 8.74490 | + | 13.3851i | 0.822651 | + | 1.25916i | 0.963119 | + | 0.269076i | \(0.0867183\pi\) |
−0.140468 | + | 0.990085i | \(0.544861\pi\) | |||||||
\(114\) | −1.82278 | − | 2.13989i | −0.170719 | − | 0.200419i | ||||
\(115\) | 0.526248 | − | 0.805482i | 0.0490728 | − | 0.0751116i | ||||
\(116\) | −3.55137 | + | 6.15116i | −0.329737 | + | 0.571121i | ||||
\(117\) | −0.365809 | + | 13.2709i | −0.0338191 | + | 1.22689i | ||||
\(118\) | 11.1200 | + | 2.49204i | 1.02368 | + | 0.229411i | ||||
\(119\) | 26.0092 | + | 2.87870i | 2.38426 | + | 0.263890i | ||||
\(120\) | 0.173784 | + | 0.464157i | 0.0158643 | + | 0.0423716i | ||||
\(121\) | 8.99606 | + | 7.00191i | 0.817823 | + | 0.636537i | ||||
\(122\) | 2.93217 | − | 4.48802i | 0.265466 | − | 0.406327i | ||||
\(123\) | −0.173399 | + | 0.0818288i | −0.0156348 | + | 0.00737826i | ||||
\(124\) | 0.278335 | + | 10.0975i | 0.0249952 | + | 0.906781i | ||||
\(125\) | −6.83968 | + | 2.34807i | −0.611760 | + | 0.210017i | ||||
\(126\) | 7.36882 | − | 8.00467i | 0.656467 | − | 0.713113i | ||||
\(127\) | 4.99408 | + | 8.64999i | 0.443153 | + | 0.767563i | 0.997921 | − | 0.0644417i | \(-0.0205266\pi\) |
−0.554769 | + | 0.832005i | \(0.687193\pi\) | |||||||
\(128\) | 0.754107 | − | 0.656752i | 0.0666542 | − | 0.0580492i | ||||
\(129\) | −0.218232 | − | 7.91706i | −0.0192143 | − | 0.697058i | ||||
\(130\) | 1.17866 | + | 3.76837i | 0.103375 | + | 0.330508i | ||||
\(131\) | 0.0884174 | − | 3.20762i | 0.00772506 | − | 0.280251i | −0.985888 | − | 0.167408i | \(-0.946460\pi\) |
0.993613 | − | 0.112843i | \(-0.0359958\pi\) | |||||||
\(132\) | −1.22603 | − | 2.79507i | −0.106712 | − | 0.243280i | ||||
\(133\) | −1.21179 | + | 18.3123i | −0.105076 | + | 1.58788i | ||||
\(134\) | −6.10577 | + | 13.9198i | −0.527458 | + | 1.20248i | ||||
\(135\) | 2.50292 | + | 1.18116i | 0.215417 | + | 0.101658i | ||||
\(136\) | 5.29486 | − | 3.25474i | 0.454031 | − | 0.279092i | ||||
\(137\) | −7.44324 | + | 5.16103i | −0.635919 | + | 0.440936i | −0.843388 | − | 0.537305i | \(-0.819442\pi\) |
0.207469 | + | 0.978242i | \(0.433477\pi\) | |||||||
\(138\) | 0.687789 | − | 0.422782i | 0.0585485 | − | 0.0359896i | ||||
\(139\) | −1.87565 | + | 13.5262i | −0.159091 | + | 1.14728i | 0.727964 | + | 0.685615i | \(0.240467\pi\) |
−0.887055 | + | 0.461664i | \(0.847252\pi\) | |||||||
\(140\) | 1.29982 | − | 2.96328i | 0.109855 | − | 0.250443i | ||||
\(141\) | 0.851303 | + | 0.142057i | 0.0716926 | + | 0.0119634i | ||||
\(142\) | −6.03904 | + | 0.668401i | −0.506785 | + | 0.0560909i | ||||
\(143\) | −8.52574 | − | 22.7712i | −0.712958 | − | 1.90423i | ||||
\(144\) | 0.213395 | − | 2.57530i | 0.0177829 | − | 0.214608i | ||||
\(145\) | 2.98567 | + | 4.56991i | 0.247946 | + | 0.379510i | ||||
\(146\) | 0.724968 | + | 0.445636i | 0.0599988 | + | 0.0368811i | ||||
\(147\) | 6.90706 | − | 0.381073i | 0.569685 | − | 0.0314304i | ||||
\(148\) | −2.34915 | + | 2.28529i | −0.193099 | + | 0.187850i | ||||
\(149\) | −4.59344 | − | 1.29890i | −0.376309 | − | 0.106410i | 0.0786966 | − | 0.996899i | \(-0.474924\pi\) |
−0.455006 | + | 0.890489i | \(0.650363\pi\) | |||||||
\(150\) | −2.82626 | − | 0.312810i | −0.230763 | − | 0.0255408i | ||||
\(151\) | 2.02389 | + | 7.99216i | 0.164702 | + | 0.650393i | 0.995578 | + | 0.0939359i | \(0.0299449\pi\) |
−0.830876 | + | 0.556457i | \(0.812160\pi\) | |||||||
\(152\) | 2.44432 | + | 3.60906i | 0.198261 | + | 0.292733i | ||||
\(153\) | 3.94271 | − | 15.5694i | 0.318749 | − | 1.25871i | ||||
\(154\) | −6.98709 | + | 18.6617i | −0.563035 | + | 1.50380i | ||||
\(155\) | 7.02082 | + | 3.31320i | 0.563926 | + | 0.266123i | ||||
\(156\) | −0.455065 | + | 3.28169i | −0.0364344 | + | 0.262746i | ||||
\(157\) | −5.09961 | + | 13.6205i | −0.406993 | + | 1.08703i | 0.559160 | + | 0.829060i | \(0.311124\pi\) |
−0.966153 | + | 0.257970i | \(0.916946\pi\) | |||||||
\(158\) | 5.60703 | − | 7.62863i | 0.446071 | − | 0.606902i | ||||
\(159\) | −2.92260 | − | 0.487696i | −0.231777 | − | 0.0386768i | ||||
\(160\) | −0.188667 | − | 0.745028i | −0.0149154 | − | 0.0588997i | ||||
\(161\) | −5.14338 | − | 1.15266i | −0.405355 | − | 0.0908423i | ||||
\(162\) | −3.45202 | − | 4.19156i | −0.271216 | − | 0.329320i | ||||
\(163\) | 6.18210 | + | 3.34559i | 0.484219 | + | 0.262046i | 0.699667 | − | 0.714469i | \(-0.253332\pi\) |
−0.215448 | + | 0.976515i | \(0.569121\pi\) | |||||||
\(164\) | 0.281210 | − | 0.0965395i | 0.0219588 | − | 0.00753847i | ||||
\(165\) | −2.34215 | − | 0.129220i | −0.182336 | − | 0.0100598i | ||||
\(166\) | −8.50479 | − | 5.89709i | −0.660100 | − | 0.457703i | ||||
\(167\) | 10.5848 | + | 0.583978i | 0.819074 | + | 0.0451896i | 0.459778 | − | 0.888034i | \(-0.347929\pi\) |
0.359296 | + | 0.933224i | \(0.383017\pi\) | |||||||
\(168\) | 2.04753 | − | 1.78320i | 0.157970 | − | 0.137577i | ||||
\(169\) | −2.56775 | + | 13.1454i | −0.197519 | + | 1.01119i | ||||
\(170\) | −0.394455 | − | 4.76036i | −0.0302533 | − | 0.365103i | ||||
\(171\) | 11.0307 | + | 2.28046i | 0.843536 | + | 0.174391i | ||||
\(172\) | −1.01419 | + | 12.2394i | −0.0773310 | + | 0.933247i | ||||
\(173\) | 0.525543 | + | 0.148609i | 0.0399563 | + | 0.0112986i | 0.292023 | − | 0.956411i | \(-0.405672\pi\) |
−0.252067 | + | 0.967710i | \(0.581110\pi\) | |||||||
\(174\) | 0.629142 | + | 4.53704i | 0.0476951 | + | 0.343952i | ||||
\(175\) | 11.8020 | + | 14.3304i | 0.892151 | + | 1.08328i | ||||
\(176\) | 1.41282 | + | 4.51705i | 0.106496 | + | 0.340485i | ||||
\(177\) | 6.64609 | − | 3.13637i | 0.499551 | − | 0.235744i | ||||
\(178\) | 0.674061 | + | 8.13471i | 0.0505230 | + | 0.609722i | ||||
\(179\) | −12.9653 | + | 10.0913i | −0.969069 | + | 0.754257i | −0.969335 | − | 0.245743i | \(-0.920968\pi\) |
0.000265606 | 1.00000i | \(0.499915\pi\) | ||||||||
\(180\) | −1.69193 | − | 1.04002i | −0.126109 | − | 0.0775187i | ||||
\(181\) | 15.1830 | + | 9.33292i | 1.12854 | + | 0.693711i | 0.956602 | − | 0.291397i | \(-0.0941201\pi\) |
0.171938 | + | 0.985108i | \(0.444997\pi\) | |||||||
\(182\) | 17.0695 | − | 13.2857i | 1.26528 | − | 0.984805i | ||||
\(183\) | −0.285494 | − | 3.44540i | −0.0211043 | − | 0.254691i | ||||
\(184\) | −1.13218 | + | 0.534287i | −0.0834652 | + | 0.0393882i | ||||
\(185\) | 0.751899 | + | 2.40395i | 0.0552807 | + | 0.176742i | ||||
\(186\) | 4.14123 | + | 5.02841i | 0.303649 | + | 0.368701i | ||||
\(187\) | 4.04034 | + | 29.1368i | 0.295459 | + | 2.13070i | ||||
\(188\) | −1.28784 | − | 0.364166i | −0.0939254 | − | 0.0265596i | ||||
\(189\) | 1.25206 | − | 15.1101i | 0.0910738 | − | 1.09910i | ||||
\(190\) | 3.32311 | − | 0.423736i | 0.241083 | − | 0.0307410i | ||||
\(191\) | −0.292633 | − | 3.53156i | −0.0211742 | − | 0.255534i | −0.998947 | − | 0.0458693i | \(-0.985394\pi\) |
0.977773 | − | 0.209665i | \(-0.0672374\pi\) | |||||||
\(192\) | 0.123631 | − | 0.632923i | 0.00892232 | − | 0.0456773i | ||||
\(193\) | 14.9118 | − | 12.9867i | 1.07337 | − | 0.934801i | 0.0753186 | − | 0.997160i | \(-0.476003\pi\) |
0.998054 | + | 0.0623587i | \(0.0198623\pi\) | |||||||
\(194\) | −10.0506 | − | 0.554507i | −0.721591 | − | 0.0398113i | ||||
\(195\) | 2.09246 | + | 1.45088i | 0.149844 | + | 0.103900i | ||||
\(196\) | −10.7105 | − | 0.590917i | −0.765038 | − | 0.0422083i | ||||
\(197\) | 10.9102 | − | 3.74549i | 0.777322 | − | 0.266855i | 0.0926427 | − | 0.995699i | \(-0.470469\pi\) |
0.684679 | + | 0.728844i | \(0.259942\pi\) | |||||||
\(198\) | 10.7562 | + | 5.82096i | 0.764409 | + | 0.413677i | ||||
\(199\) | −6.99466 | − | 8.49314i | −0.495838 | − | 0.602063i | 0.462880 | − | 0.886421i | \(-0.346816\pi\) |
−0.958718 | + | 0.284358i | \(0.908220\pi\) | |||||||
\(200\) | 4.30262 | + | 0.964239i | 0.304241 | + | 0.0681820i | ||||
\(201\) | 2.40631 | + | 9.50231i | 0.169728 | + | 0.670241i | ||||
\(202\) | 7.04414 | + | 1.17546i | 0.495624 | + | 0.0827050i | ||||
\(203\) | 17.7107 | − | 24.0963i | 1.24305 | − | 1.69123i | ||||
\(204\) | 1.40539 | − | 3.75363i | 0.0983970 | − | 0.262807i | ||||
\(205\) | 0.0313858 | − | 0.226338i | 0.00219208 | − | 0.0158081i | ||||
\(206\) | 10.2194 | + | 4.82266i | 0.712021 | + | 0.336011i | ||||
\(207\) | −1.13435 | + | 3.02971i | −0.0788426 | + | 0.210579i | ||||
\(208\) | 1.26118 | − | 4.98029i | 0.0874472 | − | 0.345321i | ||||
\(209\) | −20.2895 | + | 3.73281i | −1.40345 | + | 0.258204i | ||||
\(210\) | −0.512263 | − | 2.02288i | −0.0353495 | − | 0.139592i | ||||
\(211\) | −6.10314 | − | 0.675495i | −0.420158 | − | 0.0465030i | −0.102556 | − | 0.994727i | \(-0.532702\pi\) |
−0.317602 | + | 0.948224i | \(0.602877\pi\) | |||||||
\(212\) | 4.42127 | + | 1.25022i | 0.303654 | + | 0.0858653i | ||||
\(213\) | −2.80855 | + | 2.73219i | −0.192438 | + | 0.187207i | ||||
\(214\) | 5.77811 | − | 0.318787i | 0.394984 | − | 0.0217919i | ||||
\(215\) | 8.04109 | + | 4.94284i | 0.548398 | + | 0.337099i | ||||
\(216\) | −1.96962 | − | 3.01474i | −0.134016 | − | 0.205127i | ||||
\(217\) | 3.51209 | − | 42.3846i | 0.238416 | − | 2.87725i | ||||
\(218\) | 2.28432 | + | 6.10114i | 0.154714 | + | 0.413221i | ||||
\(219\) | 0.545455 | − | 0.0603709i | 0.0368584 | − | 0.00407949i | ||||
\(220\) | 3.58780 | + | 0.598697i | 0.241889 | + | 0.0403642i | ||||
\(221\) | 12.8264 | − | 29.2412i | 0.862796 | − | 1.96698i | ||||
\(222\) | −0.290299 | + | 2.09349i | −0.0194836 | + | 0.140506i | ||||
\(223\) | 5.21524 | − | 3.20580i | 0.349238 | − | 0.214676i | −0.337935 | − | 0.941169i | \(-0.609728\pi\) |
0.687173 | + | 0.726493i | \(0.258851\pi\) | |||||||
\(224\) | −3.45995 | + | 2.39908i | −0.231178 | + | 0.160295i | ||||
\(225\) | 9.70700 | − | 5.96687i | 0.647133 | − | 0.397791i | ||||
\(226\) | −14.4594 | − | 6.82353i | −0.961822 | − | 0.453895i | ||||
\(227\) | 1.10987 | − | 2.53026i | 0.0736650 | − | 0.167939i | −0.875083 | − | 0.483973i | \(-0.839193\pi\) |
0.948748 | + | 0.316034i | \(0.102351\pi\) | |||||||
\(228\) | 2.67346 | + | 0.868479i | 0.177054 | + | 0.0575164i | ||||
\(229\) | 3.81809 | + | 8.70436i | 0.252306 | + | 0.575201i | 0.995594 | − | 0.0937717i | \(-0.0298924\pi\) |
−0.743287 | + | 0.668972i | \(0.766734\pi\) | |||||||
\(230\) | −0.0265115 | + | 0.961787i | −0.00174812 | + | 0.0634184i | ||||
\(231\) | 3.83606 | + | 12.2646i | 0.252395 | + | 0.806950i | ||||
\(232\) | −0.195711 | − | 7.10005i | −0.0128491 | − | 0.466141i | ||||
\(233\) | −12.7526 | + | 11.1063i | −0.835452 | + | 0.727595i | −0.964511 | − | 0.264041i | \(-0.914944\pi\) |
0.129060 | + | 0.991637i | \(0.458804\pi\) | |||||||
\(234\) | −6.63796 | − | 11.4973i | −0.433937 | − | 0.751601i | ||||
\(235\) | −0.696634 | + | 0.756746i | −0.0454434 | + | 0.0493647i | ||||
\(236\) | −10.7783 | + | 3.70020i | −0.701609 | + | 0.240863i | ||||
\(237\) | −0.168233 | − | 6.10317i | −0.0109279 | − | 0.396444i | ||||
\(238\) | −23.6653 | + | 11.1679i | −1.53399 | + | 0.723908i | ||||
\(239\) | −9.95830 | + | 15.2423i | −0.644149 | + | 0.985943i | 0.354555 | + | 0.935035i | \(0.384633\pi\) |
−0.998703 | + | 0.0509079i | \(0.983789\pi\) | |||||||
\(240\) | −0.391117 | − | 0.304418i | −0.0252465 | − | 0.0196501i | ||||
\(241\) | −2.01671 | − | 5.38640i | −0.129908 | − | 0.346968i | 0.855349 | − | 0.518053i | \(-0.173343\pi\) |
−0.985256 | + | 0.171085i | \(0.945273\pi\) | |||||||
\(242\) | −11.3306 | − | 1.25407i | −0.728360 | − | 0.0806149i | ||||
\(243\) | −13.9589 | − | 3.12826i | −0.895463 | − | 0.200678i | ||||
\(244\) | −0.147718 | + | 5.35893i | −0.00945667 | + | 0.343071i | ||||
\(245\) | −4.12203 | + | 7.13956i | −0.263347 | + | 0.456130i | ||||
\(246\) | 0.104870 | − | 0.160516i | 0.00668628 | − | 0.0102341i | ||||
\(247\) | 20.8847 | + | 8.08153i | 1.32886 | + | 0.514215i | ||||
\(248\) | −5.52490 | − | 8.45649i | −0.350831 | − | 0.536987i | ||||
\(249\) | −6.66395 | + | 0.367660i | −0.422311 | + | 0.0232995i | ||||
\(250\) | 4.59724 | − | 5.58212i | 0.290755 | − | 0.353044i | ||||
\(251\) | −8.13879 | − | 7.08807i | −0.513716 | − | 0.447395i | 0.360623 | − | 0.932712i | \(-0.382564\pi\) |
−0.874339 | + | 0.485316i | \(0.838704\pi\) | |||||||
\(252\) | −2.08581 | + | 10.6782i | −0.131394 | + | 0.672662i | ||||
\(253\) | −0.163263 | − | 5.92286i | −0.0102642 | − | 0.372367i | ||||
\(254\) | −8.78432 | − | 4.75384i | −0.551177 | − | 0.298282i | ||||
\(255\) | −2.08630 | − | 2.26633i | −0.130649 | − | 0.141923i | ||||
\(256\) | −0.298515 | + | 0.954405i | −0.0186572 | + | 0.0596503i | ||||
\(257\) | 5.91163 | − | 5.75092i | 0.368757 | − | 0.358733i | −0.489454 | − | 0.872029i | \(-0.662804\pi\) |
0.858211 | + | 0.513296i | \(0.171576\pi\) | |||||||
\(258\) | 4.33187 | + | 6.63042i | 0.269690 | + | 0.412792i | ||||
\(259\) | 10.8891 | − | 8.47536i | 0.676618 | − | 0.526633i | ||||
\(260\) | −2.97751 | − | 2.59312i | −0.184658 | − | 0.160818i | ||||
\(261\) | −13.1561 | − | 12.7984i | −0.814341 | − | 0.792204i | ||||
\(262\) | 1.60442 | + | 2.77893i | 0.0991213 | + | 0.171683i | ||||
\(263\) | 17.2929 | + | 11.9906i | 1.06633 | + | 0.739374i | 0.966767 | − | 0.255658i | \(-0.0822921\pi\) |
0.0995582 | + | 0.995032i | \(0.468257\pi\) | |||||||
\(264\) | 2.50818 | + | 1.73913i | 0.154368 | + | 0.107036i | ||||
\(265\) | 2.39161 | − | 2.59798i | 0.146915 | − | 0.159593i | ||||
\(266\) | −8.55732 | − | 16.2352i | −0.524683 | − | 0.995444i | ||||
\(267\) | 3.56516 | + | 3.87280i | 0.218185 | + | 0.237012i | ||||
\(268\) | −2.08777 | − | 15.0559i | −0.127531 | − | 0.919688i | ||||
\(269\) | −12.2402 | − | 1.35474i | −0.746296 | − | 0.0826000i | −0.271187 | − | 0.962527i | \(-0.587416\pi\) |
−0.475109 | + | 0.879927i | \(0.657592\pi\) | |||||||
\(270\) | −2.75083 | + | 0.304461i | −0.167410 | + | 0.0185289i | ||||
\(271\) | 13.6323 | + | 26.9381i | 0.828101 | + | 1.63637i | 0.769985 | + | 0.638062i | \(0.220264\pi\) |
0.0581157 | + | 0.998310i | \(0.481491\pi\) | |||||||
\(272\) | −2.80638 | + | 5.54555i | −0.170162 | + | 0.336248i | ||||
\(273\) | 3.42433 | − | 13.5224i | 0.207250 | − | 0.818410i | ||||
\(274\) | 3.63835 | − | 8.29460i | 0.219801 | − | 0.501095i | ||||
\(275\) | −12.3592 | + | 16.8153i | −0.745287 | + | 1.01400i | ||||
\(276\) | −0.364541 | + | 0.720353i | −0.0219428 | + | 0.0433601i | ||||
\(277\) | −21.8542 | + | 3.64682i | −1.31309 | + | 0.219116i | −0.779381 | − | 0.626551i | \(-0.784466\pi\) |
−0.533711 | + | 0.845667i | \(0.679203\pi\) | |||||||
\(278\) | −5.48541 | − | 12.5055i | −0.328993 | − | 0.750029i | ||||
\(279\) | −25.4713 | − | 5.70825i | −1.52492 | − | 0.341744i | ||||
\(280\) | 0.444452 | + | 3.20516i | 0.0265611 | + | 0.191545i | ||||
\(281\) | 2.81253 | − | 8.99215i | 0.167781 | − | 0.536427i | −0.832052 | − | 0.554698i | \(-0.812834\pi\) |
0.999833 | + | 0.0182712i | \(0.00581623\pi\) | |||||||
\(282\) | −0.799633 | + | 0.324783i | −0.0476175 | + | 0.0193405i | ||||
\(283\) | −11.7420 | + | 14.2575i | −0.697991 | + | 0.847523i | −0.994194 | − | 0.107602i | \(-0.965683\pi\) |
0.296203 | + | 0.955125i | \(0.404279\pi\) | |||||||
\(284\) | 4.79475 | − | 3.73190i | 0.284516 | − | 0.221448i | ||||
\(285\) | 1.52330 | − | 1.53191i | 0.0902328 | − | 0.0907427i | ||||
\(286\) | 19.1879 | + | 14.9346i | 1.13461 | + | 0.883099i | ||||
\(287\) | −1.22151 | + | 0.273747i | −0.0721036 | + | 0.0161588i | ||||
\(288\) | 1.16682 | + | 2.30569i | 0.0687554 | + | 0.135864i | ||||
\(289\) | −12.8094 | + | 17.4278i | −0.753493 | + | 1.02516i | ||||
\(290\) | −4.93669 | − | 2.32968i | −0.289892 | − | 0.136804i | ||||
\(291\) | −5.33444 | + | 3.69882i | −0.312710 | + | 0.216829i | ||||
\(292\) | −0.850982 | −0.0497999 | ||||||||
\(293\) | −5.87232 | −0.343065 | −0.171532 | − | 0.985178i | \(-0.554872\pi\) | ||||
−0.171532 | + | 0.985178i | \(0.554872\pi\) | |||||||
\(294\) | −5.68470 | + | 3.94169i | −0.331539 | + | 0.229884i | ||||
\(295\) | −1.20297 | + | 8.67517i | −0.0700394 | + | 0.505088i | ||||
\(296\) | 0.804544 | − | 3.17707i | 0.0467632 | − | 0.184664i | ||||
\(297\) | 16.8111 | − | 2.80527i | 0.975478 | − | 0.162778i | ||||
\(298\) | 4.59344 | − | 1.29890i | 0.266091 | − | 0.0752433i | ||||
\(299\) | −3.21585 | + | 5.57002i | −0.185977 | + | 0.322122i | ||||
\(300\) | 2.57155 | − | 1.21355i | 0.148469 | − | 0.0700641i | ||||
\(301\) | 9.91307 | − | 50.7494i | 0.571380 | − | 2.92515i | ||||
\(302\) | −5.90947 | − | 5.74882i | −0.340052 | − | 0.330808i | ||||
\(303\) | 4.05039 | − | 2.19196i | 0.232689 | − | 0.125925i | ||||
\(304\) | −3.97233 | − | 1.79460i | −0.227829 | − | 0.102927i | ||||
\(305\) | 3.62356 | + | 1.96097i | 0.207485 | + | 0.112285i | ||||
\(306\) | 4.79441 | + | 15.3286i | 0.274078 | + | 0.876277i | ||||
\(307\) | −0.657228 | + | 1.13835i | −0.0375100 | + | 0.0649692i | −0.884171 | − | 0.467164i | \(-0.845276\pi\) |
0.846661 | + | 0.532133i | \(0.178609\pi\) | |||||||
\(308\) | −3.82018 | − | 19.5572i | −0.217675 | − | 1.11437i | ||||
\(309\) | 7.11096 | − | 1.59360i | 0.404528 | − | 0.0906569i | ||||
\(310\) | −7.71621 | + | 0.854030i | −0.438251 | + | 0.0485056i | ||||
\(311\) | 6.24556 | + | 24.6632i | 0.354153 | + | 1.39852i | 0.848473 | + | 0.529239i | \(0.177523\pi\) |
−0.494319 | + | 0.869280i | \(0.664583\pi\) | |||||||
\(312\) | −1.33086 | − | 3.03404i | −0.0753448 | − | 0.171769i | ||||
\(313\) | −15.3245 | + | 4.33335i | −0.866190 | + | 0.244935i | −0.676081 | − | 0.736828i | \(-0.736323\pi\) |
−0.190109 | + | 0.981763i | \(0.560884\pi\) | |||||||
\(314\) | −2.78821 | − | 14.2741i | −0.157348 | − | 0.805532i | ||||
\(315\) | 6.59861 | + | 5.13591i | 0.371790 | + | 0.289376i | ||||
\(316\) | −0.781825 | + | 9.43523i | −0.0439811 | + | 0.530773i | ||||
\(317\) | −10.0670 | + | 9.79332i | −0.565418 | + | 0.550047i | −0.923478 | − | 0.383651i | \(-0.874666\pi\) |
0.358060 | + | 0.933699i | \(0.383438\pi\) | |||||||
\(318\) | 2.74522 | − | 1.11501i | 0.153944 | − | 0.0625267i | ||||
\(319\) | 31.1452 | + | 12.6501i | 1.74380 | + | 0.708269i | ||||
\(320\) | 0.550880 | + | 0.535904i | 0.0307951 | + | 0.0299580i | ||||
\(321\) | 2.81424 | − | 2.45092i | 0.157076 | − | 0.136797i | ||||
\(322\) | 4.98536 | − | 1.71148i | 0.277824 | − | 0.0953769i | ||||
\(323\) | −22.5163 | − | 15.0654i | −1.25284 | − | 0.838259i | ||||
\(324\) | 5.13585 | + | 1.76314i | 0.285325 | + | 0.0979521i | ||||
\(325\) | 20.9878 | − | 8.52452i | 1.16420 | − | 0.472855i | ||||
\(326\) | −7.01864 | + | 0.387229i | −0.388727 | + | 0.0214467i | ||||
\(327\) | 3.57914 | + | 2.20009i | 0.197927 | + | 0.121665i | ||||
\(328\) | −0.189013 | + | 0.229506i | −0.0104365 | + | 0.0126723i | ||||
\(329\) | 5.22064 | + | 2.12044i | 0.287823 | + | 0.116904i | ||||
\(330\) | 2.06299 | − | 1.11643i | 0.113564 | − | 0.0614577i | ||||
\(331\) | −8.12064 | + | 8.82137i | −0.446351 | + | 0.484866i | −0.917809 | − | 0.397022i | \(-0.870044\pi\) |
0.471458 | + | 0.881888i | \(0.343728\pi\) | |||||||
\(332\) | 10.3335 | + | 0.570118i | 0.567127 | + | 0.0312893i | ||||
\(333\) | −4.23455 | − | 7.33445i | −0.232052 | − | 0.401926i | ||||
\(334\) | −9.32318 | + | 5.04545i | −0.510142 | + | 0.276075i | ||||
\(335\) | −11.0489 | − | 3.79310i | −0.603668 | − | 0.207239i | ||||
\(336\) | −0.810520 | + | 2.59138i | −0.0442175 | + | 0.141371i | ||||
\(337\) | −0.752024 | − | 0.212652i | −0.0409654 | − | 0.0115839i | 0.251559 | − | 0.967842i | \(-0.419057\pi\) |
−0.292525 | + | 0.956258i | \(0.594495\pi\) | |||||||
\(338\) | −4.69639 | − | 12.5435i | −0.255450 | − | 0.682277i | ||||
\(339\) | −10.0612 | + | 2.25477i | −0.546450 | + | 0.122462i | ||||
\(340\) | 2.82892 | + | 3.84888i | 0.153419 | + | 0.208735i | ||||
\(341\) | 47.1559 | − | 7.86893i | 2.55364 | − | 0.426127i | ||||
\(342\) | −10.5915 | + | 3.83369i | −0.572720 | + | 0.207302i | ||||
\(343\) | 15.4771 | + | 2.58267i | 0.835686 | + | 0.139451i | ||||
\(344\) | −5.54545 | − | 10.9581i | −0.298990 | − | 0.590821i | ||||
\(345\) | 0.367469 | + | 0.499959i | 0.0197839 | + | 0.0269169i | ||||
\(346\) | −0.525543 | + | 0.148609i | −0.0282534 | + | 0.00798929i | ||||
\(347\) | 0.162619 | − | 5.89950i | 0.00872983 | − | 0.316702i | −0.982633 | − | 0.185557i | \(-0.940591\pi\) |
0.991363 | − | 0.131145i | \(-0.0418652\pi\) | |||||||
\(348\) | −2.91190 | − | 3.53573i | −0.156094 | − | 0.189535i | ||||
\(349\) | 14.5154 | + | 15.7680i | 0.776994 | + | 0.844040i | 0.991148 | − | 0.132760i | \(-0.0423839\pi\) |
−0.214155 | + | 0.976800i | \(0.568700\pi\) | |||||||
\(350\) | −17.5588 | − | 6.02796i | −0.938560 | − | 0.322208i | ||||
\(351\) | −17.1408 | − | 6.96200i | −0.914909 | − | 0.371604i | ||||
\(352\) | −3.56907 | − | 3.10831i | −0.190232 | − | 0.165673i | ||||
\(353\) | 1.70480 | + | 20.5739i | 0.0907375 | + | 1.09504i | 0.878077 | + | 0.478519i | \(0.158826\pi\) |
−0.787340 | + | 0.616520i | \(0.788542\pi\) | |||||||
\(354\) | −4.01951 | + | 6.15231i | −0.213634 | + | 0.326992i | ||||
\(355\) | −0.895215 | − | 4.58300i | −0.0475131 | − | 0.243241i | ||||
\(356\) | −4.83417 | − | 6.57713i | −0.256211 | − | 0.348587i | ||||
\(357\) | −7.61980 | + | 15.0571i | −0.403283 | + | 0.796908i | ||||
\(358\) | 5.76084 | − | 15.3865i | 0.304470 | − | 0.813202i | ||||
\(359\) | 0.117534 | − | 0.0722481i | 0.00620323 | − | 0.00381311i | −0.520568 | − | 0.853820i | \(-0.674280\pi\) |
0.526771 | + | 0.850007i | \(0.323403\pi\) | |||||||
\(360\) | 1.98602 | 0.104672 | ||||||||
\(361\) | 9.85842 | − | 16.2423i | 0.518864 | − | 0.854857i | ||||
\(362\) | −17.8221 | −0.936706 | ||||||||
\(363\) | −6.26295 | + | 3.84982i | −0.328719 | + | 0.202063i | ||||
\(364\) | −7.58447 | + | 20.2572i | −0.397534 | + | 1.06177i | ||||
\(365\) | −0.295311 | + | 0.583551i | −0.0154573 | + | 0.0305444i | ||||
\(366\) | 2.04748 | + | 2.78570i | 0.107024 | + | 0.145611i | ||||
\(367\) | −4.68847 | − | 24.0024i | −0.244736 | − | 1.25291i | −0.877881 | − | 0.478880i | \(-0.841043\pi\) |
0.633144 | − | 0.774034i | \(-0.281764\pi\) | |||||||
\(368\) | 0.684732 | − | 1.04806i | 0.0356941 | − | 0.0546339i | ||||
\(369\) | 0.0634466 | + | 0.765686i | 0.00330290 | + | 0.0398600i | ||||
\(370\) | −1.89944 | − | 1.65423i | −0.0987473 | − | 0.0859991i | ||||
\(371\) | −17.9229 | − | 7.27967i | −0.930513 | − | 0.377942i | ||||
\(372\) | −6.16123 | − | 2.11515i | −0.319445 | − | 0.109666i | ||||
\(373\) | −14.8261 | − | 16.1055i | −0.767669 | − | 0.833910i | 0.222332 | − | 0.974971i | \(-0.428633\pi\) |
−0.990001 | + | 0.141061i | \(0.954949\pi\) | |||||||
\(374\) | −18.7002 | − | 22.7064i | −0.966965 | − | 1.17412i | ||||
\(375\) | 0.128499 | − | 4.66172i | 0.00663568 | − | 0.240730i | ||||
\(376\) | 1.28784 | − | 0.364166i | 0.0664153 | − | 0.0187804i | ||||
\(377\) | −21.6109 | − | 29.4026i | −1.11302 | − | 1.51431i | ||||
\(378\) | 6.84609 | + | 13.5282i | 0.352125 | + | 0.695818i | ||||
\(379\) | −8.81909 | − | 1.47165i | −0.453006 | − | 0.0755933i | −0.0663069 | − | 0.997799i | \(-0.521122\pi\) |
−0.386699 | + | 0.922206i | \(0.626385\pi\) | |||||||
\(380\) | −2.60912 | + | 2.10121i | −0.133845 | + | 0.107790i | ||||
\(381\) | −6.35336 | + | 1.06019i | −0.325493 | + | 0.0543151i | ||||
\(382\) | 2.09868 | + | 2.85536i | 0.107378 | + | 0.146093i | ||||
\(383\) | 33.6779 | − | 7.54740i | 1.72086 | − | 0.385654i | 0.757285 | − | 0.653085i | \(-0.226526\pi\) |
0.963577 | + | 0.267431i | \(0.0861747\pi\) | |||||||
\(384\) | 0.226121 | + | 0.603942i | 0.0115392 | + | 0.0308198i | ||||
\(385\) | −14.7368 | − | 4.16717i | −0.751057 | − | 0.212379i | ||||
\(386\) | −5.90286 | + | 18.8725i | −0.300447 | + | 0.960584i | ||||
\(387\) | −30.0170 | − | 10.3048i | −1.52585 | − | 0.523825i | ||||
\(388\) | 8.85269 | − | 4.79083i | 0.449427 | − | 0.243218i | ||||
\(389\) | −0.972053 | − | 1.68365i | −0.0492851 | − | 0.0853642i | 0.840330 | − | 0.542074i | \(-0.182361\pi\) |
−0.889616 | + | 0.456710i | \(0.849028\pi\) | |||||||
\(390\) | −2.54240 | − | 0.140268i | −0.128739 | − | 0.00710275i | ||||
\(391\) | 5.26987 | − | 5.72460i | 0.266509 | − | 0.289506i | ||||
\(392\) | 9.43396 | − | 5.10540i | 0.476487 | − | 0.257862i | ||||
\(393\) | 1.91722 | + | 0.778709i | 0.0967111 | + | 0.0392806i | ||||
\(394\) | −7.33323 | + | 8.90425i | −0.369443 | + | 0.448590i | ||||
\(395\) | 6.19878 | + | 3.81038i | 0.311895 | + | 0.191721i | ||||
\(396\) | −12.2117 | + | 0.673737i | −0.613660 | + | 0.0338566i | ||||
\(397\) | −4.15211 | + | 1.68644i | −0.208389 | + | 0.0846401i | −0.478116 | − | 0.878296i | \(-0.658680\pi\) |
0.269728 | + | 0.962937i | \(0.413066\pi\) | |||||||
\(398\) | 10.4065 | + | 3.57256i | 0.521631 | + | 0.179076i | ||||
\(399\) | −10.7856 | − | 4.87265i | −0.539954 | − | 0.243938i | ||||
\(400\) | −4.17043 | + | 1.43171i | −0.208521 | + | 0.0715855i | ||||
\(401\) | −3.99764 | + | 3.48155i | −0.199632 | + | 0.173860i | −0.750790 | − | 0.660541i | \(-0.770327\pi\) |
0.551157 | + | 0.834401i | \(0.314186\pi\) | |||||||
\(402\) | −7.02608 | − | 6.83508i | −0.350429 | − | 0.340903i | ||||
\(403\) | −48.0809 | − | 19.5288i | −2.39508 | − | 0.972797i | ||||
\(404\) | −6.61660 | + | 2.68743i | −0.329188 | + | 0.133705i | ||||
\(405\) | 2.99131 | − | 2.90999i | 0.148640 | − | 0.144599i | ||||
\(406\) | −2.46952 | + | 29.8027i | −0.122560 | + | 1.47908i | ||||
\(407\) | 12.2405 | + | 9.52719i | 0.606741 | + | 0.472245i | ||||
\(408\) | 0.768395 | + | 3.93375i | 0.0380412 | + | 0.194750i | ||||
\(409\) | −10.7213 | + | 3.03170i | −0.530135 | + | 0.149908i | −0.526644 | − | 0.850086i | \(-0.676550\pi\) |
−0.00349126 | + | 0.999994i | \(0.501111\pi\) | |||||||
\(410\) | 0.0917889 | + | 0.209258i | 0.00453313 | + | 0.0103345i | ||||
\(411\) | −1.43389 | − | 5.66230i | −0.0707286 | − | 0.279301i | ||||
\(412\) | −11.2316 | + | 1.24312i | −0.553342 | + | 0.0612439i | ||||
\(413\) | 46.8186 | − | 10.4923i | 2.30379 | − | 0.516293i | ||||
\(414\) | −0.620203 | − | 3.17509i | −0.0304813 | − | 0.156047i | ||||
\(415\) | 3.97694 | − | 6.88826i | 0.195220 | − | 0.338131i | ||||
\(416\) | 1.53362 | + | 4.90325i | 0.0751919 | + | 0.240402i | ||||
\(417\) | −7.74494 | − | 4.19135i | −0.379271 | − | 0.205251i | ||||
\(418\) | 15.3302 | − | 13.8051i | 0.749826 | − | 0.675230i | ||||
\(419\) | 21.5787 | − | 11.6778i | 1.05419 | − | 0.570499i | 0.146098 | − | 0.989270i | \(-0.453329\pi\) |
0.908092 | + | 0.418771i | \(0.137539\pi\) | |||||||
\(420\) | 1.49574 | + | 1.45507i | 0.0729844 | + | 0.0710003i | ||||
\(421\) | 3.48860 | − | 17.8597i | 0.170024 | − | 0.870428i | −0.794668 | − | 0.607045i | \(-0.792355\pi\) |
0.964691 | − | 0.263383i | \(-0.0848382\pi\) | |||||||
\(422\) | 5.55312 | − | 2.62058i | 0.270322 | − | 0.127568i | ||||
\(423\) | 1.72921 | − | 2.99509i | 0.0840773 | − | 0.145626i | ||||
\(424\) | −4.42127 | + | 1.25022i | −0.214716 | + | 0.0607159i | ||||
\(425\) | −27.0312 | + | 4.51071i | −1.31121 | + | 0.218802i | ||||
\(426\) | 0.961878 | − | 3.79837i | 0.0466031 | − | 0.184032i | ||||
\(427\) | 3.10026 | − | 22.3575i | 0.150032 | − | 1.08195i | ||||
\(428\) | −4.75555 | + | 3.29742i | −0.229868 | + | 0.159387i | ||||
\(429\) | 15.6804 | 0.757055 | ||||||||
\(430\) | −9.43879 | −0.455179 | ||||||||
\(431\) | −15.0882 | + | 10.4619i | −0.726774 | + | 0.503934i | −0.874458 | − | 0.485100i | \(-0.838783\pi\) |
0.147684 | + | 0.989035i | \(0.452818\pi\) | |||||||
\(432\) | 3.25670 | + | 1.53687i | 0.156688 | + | 0.0739428i | ||||
\(433\) | −6.66748 | + | 9.07143i | −0.320419 | + | 0.435945i | −0.935932 | − | 0.352181i | \(-0.885440\pi\) |
0.615513 | + | 0.788127i | \(0.288949\pi\) | |||||||
\(434\) | 19.2036 | + | 37.9474i | 0.921804 | + | 1.82153i | ||||
\(435\) | −3.43508 | + | 0.769820i | −0.164700 | + | 0.0369101i | ||||
\(436\) | −5.14106 | − | 4.00145i | −0.246212 | − | 0.191634i | ||||
\(437\) | 4.17404 | + | 3.51509i | 0.199672 | + | 0.168149i | ||||
\(438\) | −0.433069 | + | 0.337071i | −0.0206928 | + | 0.0161059i | ||||
\(439\) | −8.73337 | + | 10.6043i | −0.416821 | + | 0.506118i | −0.937668 | − | 0.347532i | \(-0.887020\pi\) |
0.520847 | + | 0.853650i | \(0.325616\pi\) | |||||||
\(440\) | −3.37004 | + | 1.36879i | −0.160660 | + | 0.0652545i | ||||
\(441\) | 8.27466 | − | 26.4556i | 0.394031 | − | 1.25979i | ||||
\(442\) | 4.38579 | + | 31.6280i | 0.208611 | + | 1.50439i | ||||
\(443\) | −21.3185 | − | 4.77758i | −1.01287 | − | 0.226990i | −0.319513 | − | 0.947582i | \(-0.603519\pi\) |
−0.693359 | + | 0.720592i | \(0.743870\pi\) | |||||||
\(444\) | −0.848991 | − | 1.93550i | −0.0402913 | − | 0.0918550i | ||||
\(445\) | −6.18776 | + | 1.03255i | −0.293328 | + | 0.0489478i | ||||
\(446\) | −2.76418 | + | 5.46216i | −0.130888 | + | 0.258641i | ||||
\(447\) | 1.82313 | − | 2.48046i | 0.0862312 | − | 0.117322i | ||||
\(448\) | 1.69127 | − | 3.85570i | 0.0799049 | − | 0.182165i | ||||
\(449\) | 1.72450 | − | 6.80990i | 0.0813843 | − | 0.321379i | −0.915297 | − | 0.402779i | \(-0.868044\pi\) |
0.996682 | + | 0.0813998i | \(0.0259391\pi\) | |||||||
\(450\) | −5.14489 | + | 10.1666i | −0.242533 | + | 0.479258i | ||||
\(451\) | −0.635383 | − | 1.25555i | −0.0299190 | − | 0.0591216i | ||||
\(452\) | 15.8915 | − | 1.75887i | 0.747473 | − | 0.0827303i | ||||
\(453\) | −5.28445 | − | 0.584883i | −0.248285 | − | 0.0274802i | ||||
\(454\) | 0.379504 | + | 2.73679i | 0.0178110 | + | 0.128444i | ||||
\(455\) | 11.2592 | + | 12.2307i | 0.527837 | + | 0.573384i | ||||
\(456\) | −2.73237 | + | 0.660146i | −0.127955 | + | 0.0309142i | ||||
\(457\) | −13.6145 | + | 14.7893i | −0.636859 | + | 0.691813i | −0.967766 | − | 0.251850i | \(-0.918961\pi\) |
0.330907 | + | 0.943663i | \(0.392645\pi\) | |||||||
\(458\) | −7.81094 | − | 5.41599i | −0.364981 | − | 0.253072i | ||||
\(459\) | 18.3928 | + | 12.7533i | 0.858502 | + | 0.595272i | ||||
\(460\) | −0.481076 | − | 0.833249i | −0.0224303 | − | 0.0388504i | ||||
\(461\) | −10.6113 | − | 10.3229i | −0.494219 | − | 0.480784i | 0.407440 | − | 0.913232i | \(-0.366422\pi\) |
−0.901659 | + | 0.432448i | \(0.857650\pi\) | |||||||
\(462\) | −9.69065 | − | 8.43959i | −0.450850 | − | 0.392645i | ||||
\(463\) | −16.1242 | + | 12.5500i | −0.749357 | + | 0.583248i | −0.915246 | − | 0.402896i | \(-0.868004\pi\) |
0.165888 | + | 0.986145i | \(0.446951\pi\) | |||||||
\(464\) | 3.88483 | + | 5.94618i | 0.180349 | + | 0.276044i | ||||
\(465\) | −3.58854 | + | 3.49098i | −0.166414 | + | 0.161890i | ||||
\(466\) | 5.04815 | − | 16.1398i | 0.233851 | − | 0.747664i | ||||
\(467\) | 26.1541 | + | 28.4110i | 1.21027 | + | 1.31470i | 0.935557 | + | 0.353175i | \(0.114898\pi\) |
0.274711 | + | 0.961527i | \(0.411418\pi\) | |||||||
\(468\) | 11.6758 | + | 6.31864i | 0.539715 | + | 0.292079i | ||||
\(469\) | 1.76339 | + | 63.9726i | 0.0814259 | + | 2.95398i | ||||
\(470\) | 0.197188 | − | 1.00950i | 0.00909563 | − | 0.0465645i | ||||
\(471\) | −7.07284 | − | 6.15974i | −0.325899 | − | 0.283826i | ||||
\(472\) | 7.24457 | − | 8.79659i | 0.333458 | − | 0.404896i | ||||
\(473\) | 58.0375 | − | 3.20202i | 2.66857 | − | 0.147229i | ||||
\(474\) | 3.33939 | + | 5.11131i | 0.153383 | + | 0.234770i | ||||
\(475\) | −3.99719 | − | 18.7996i | −0.183404 | − | 0.862585i | ||||
\(476\) | 14.3126 | − | 21.9070i | 0.656016 | − | 1.00411i | ||||
\(477\) | −5.93656 | + | 10.2824i | −0.271816 | + | 0.470800i | ||||
\(478\) | 0.501683 | − | 18.2001i | 0.0229464 | − | 0.832454i | ||||
\(479\) | −24.9042 | − | 5.58117i | −1.13790 | − | 0.255010i | −0.391290 | − | 0.920268i | \(-0.627971\pi\) |
−0.746614 | + | 0.665257i | \(0.768322\pi\) | |||||||
\(480\) | 0.492616 | + | 0.0545227i | 0.0224847 | + | 0.00248861i | ||||
\(481\) | −5.90383 | − | 15.7684i | −0.269192 | − | 0.718979i | ||||
\(482\) | 4.53878 | + | 3.53268i | 0.206736 | + | 0.160909i | ||||
\(483\) | 1.85917 | − | 2.84567i | 0.0845950 | − | 0.129482i | ||||
\(484\) | 10.3095 | − | 4.86517i | 0.468614 | − | 0.221144i | ||||
\(485\) | −0.213163 | − | 7.73316i | −0.00967923 | − | 0.351145i | ||||
\(486\) | 13.5300 | − | 4.64486i | 0.613735 | − | 0.210695i | ||||
\(487\) | 21.2991 | − | 23.1370i | 0.965155 | − | 1.04844i | −0.0336439 | − | 0.999434i | \(-0.510711\pi\) |
0.998799 | − | 0.0490036i | \(-0.0156046\pi\) | |||||||
\(488\) | −2.68048 | − | 4.64274i | −0.121340 | − | 0.210167i | ||||
\(489\) | −3.41844 | + | 2.97712i | −0.154587 | + | 0.134630i | ||||
\(490\) | −0.227159 | − | 8.24092i | −0.0102620 | − | 0.372287i | ||||
\(491\) | −11.4376 | − | 36.5680i | −0.516171 | − | 1.65029i | −0.737695 | − | 0.675134i | \(-0.764086\pi\) |
0.221524 | − | 0.975155i | \(-0.428897\pi\) | |||||||
\(492\) | −0.00528319 | + | 0.191664i | −0.000238184 | + | 0.00864089i | ||||
\(493\) | 17.7329 | + | 40.4269i | 0.798648 | + | 1.82074i | ||||
\(494\) | −22.0242 | + | 4.05196i | −0.990915 | + | 0.182306i | ||||
\(495\) | −3.77574 | + | 8.60782i | −0.169707 | + | 0.386893i | ||||
\(496\) | 9.13520 | + | 4.31101i | 0.410183 | + | 0.193570i | ||||
\(497\) | −21.7934 | + | 13.3964i | −0.977569 | + | 0.600909i | ||||
\(498\) | 5.48462 | − | 3.80295i | 0.245772 | − | 0.170414i | ||||
\(499\) | 37.3918 | − | 22.9847i | 1.67389 | − | 1.02893i | 0.739185 | − | 0.673503i | \(-0.235211\pi\) |
0.934702 | − | 0.355432i | \(-0.115666\pi\) | |||||||
\(500\) | −0.993273 | + | 7.16297i | −0.0444205 | + | 0.320338i | ||||
\(501\) | −2.74613 | + | 6.26054i | −0.122688 | + | 0.279700i | ||||
\(502\) | 10.6454 | + | 1.77641i | 0.475128 | + | 0.0792849i | ||||
\(503\) | −0.166697 | + | 0.0184500i | −0.00743263 | + | 0.000822644i | −0.113724 | − | 0.993512i | \(-0.536278\pi\) |
0.106291 | + | 0.994335i | \(0.466102\pi\) | |||||||
\(504\) | −3.81493 | − | 10.1892i | −0.169931 | − | 0.453865i | ||||
\(505\) | −0.453245 | + | 5.46985i | −0.0201691 | + | 0.243405i | ||||
\(506\) | 3.24073 | + | 4.96030i | 0.144068 | + | 0.220512i | ||||
\(507\) | −7.35846 | − | 4.52323i | −0.326801 | − | 0.200884i | ||||
\(508\) | 9.97299 | − | 0.550225i | 0.442480 | − | 0.0244123i | ||||
\(509\) | 9.35208 | − | 9.09784i | 0.414524 | − | 0.403255i | −0.460248 | − | 0.887790i | \(-0.652239\pi\) |
0.874772 | + | 0.484536i | \(0.161011\pi\) | |||||||
\(510\) | 2.96418 | + | 0.838189i | 0.131256 | + | 0.0371156i | ||||
\(511\) | 3.56116 | + | 0.394149i | 0.157537 | + | 0.0174361i | ||||
\(512\) | −0.245485 | − | 0.969400i | −0.0108490 | − | 0.0428418i | ||||
\(513\) | −8.36613 | + | 13.2816i | −0.369374 | + | 0.586397i | ||||
\(514\) | −2.02463 | + | 7.99509i | −0.0893026 | + | 0.352648i | ||||
\(515\) | −3.04519 | + | 8.13334i | −0.134187 | + | 0.358398i | ||||
\(516\) | −7.16257 | − | 3.38010i | −0.315315 | − | 0.148801i | ||||
\(517\) | −0.870017 | + | 6.27411i | −0.0382633 | + | 0.275935i | ||||
\(518\) | −4.83836 | + | 12.9227i | −0.212585 | + | 0.567790i | ||||
\(519\) | −0.208588 | + | 0.283794i | −0.00915598 | + | 0.0124572i | ||||
\(520\) | 3.89455 | + | 0.649885i | 0.170787 | + | 0.0284994i | ||||
\(521\) | 5.16555 | + | 20.3983i | 0.226307 | + | 0.893666i | 0.973431 | + | 0.228981i | \(0.0735394\pi\) |
−0.747124 | + | 0.664685i | \(0.768566\pi\) | |||||||
\(522\) | 17.9101 | + | 4.01375i | 0.783905 | + | 0.175677i | ||||
\(523\) | 10.8472 | + | 13.1711i | 0.474316 | + | 0.575931i | 0.953350 | − | 0.301866i | \(-0.0976095\pi\) |
−0.479034 | + | 0.877796i | \(0.659013\pi\) | |||||||
\(524\) | −2.82209 | − | 1.52724i | −0.123283 | − | 0.0667177i | ||||
\(525\) | −11.3234 | + | 3.88734i | −0.494195 | + | 0.169658i | ||||
\(526\) | −21.0113 | − | 1.15923i | −0.916137 | − | 0.0505447i | ||||
\(527\) | 51.5927 | + | 35.7736i | 2.24742 | + | 1.55832i | ||||
\(528\) | −3.04751 | − | 0.168136i | −0.132626 | − | 0.00731716i | ||||
\(529\) | 16.1626 | − | 14.0760i | 0.702720 | − | 0.611999i | ||||
\(530\) | −0.676967 | + | 3.46569i | −0.0294055 | + | 0.150540i | ||||
\(531\) | −2.43181 | − | 29.3475i | −0.105531 | − | 1.27357i | ||||
\(532\) | 15.7921 | + | 9.34985i | 0.684674 | + | 0.405367i | ||||
\(533\) | −0.126138 | + | 1.52226i | −0.00546365 | + | 0.0659364i | ||||
\(534\) | −5.06531 | − | 1.43233i | −0.219198 | − | 0.0619832i | ||||
\(535\) | 0.610880 | + | 4.40534i | 0.0264106 | + | 0.190460i | ||||
\(536\) | 9.66300 | + | 11.7331i | 0.417378 | + | 0.506794i | ||||
\(537\) | −3.16283 | − | 10.1121i | −0.136486 | − | 0.436370i | ||||
\(538\) | 11.1371 | − | 5.25571i | 0.480153 | − | 0.226590i | ||||
\(539\) | 4.19242 | + | 50.5950i | 0.180580 | + | 2.17928i | ||||
\(540\) | 2.18404 | − | 1.69991i | 0.0939863 | − | 0.0731525i | ||||
\(541\) | 26.0656 | + | 16.0224i | 1.12065 | + | 0.688858i | 0.954787 | − | 0.297291i | \(-0.0960832\pi\) |
0.165859 | + | 0.986150i | \(0.446960\pi\) | |||||||
\(542\) | −25.7203 | − | 15.8102i | −1.10478 | − | 0.679107i | ||||
\(543\) | −9.06973 | + | 7.05925i | −0.389219 | + | 0.302942i | ||||
\(544\) | −0.513248 | − | 6.19399i | −0.0220053 | − | 0.265565i | ||||
\(545\) | −4.52801 | + | 2.13682i | −0.193959 | + | 0.0915314i | ||||
\(546\) | 4.16404 | + | 13.3132i | 0.178205 | + | 0.569752i | ||||
\(547\) | −16.4557 | − | 19.9811i | −0.703597 | − | 0.854330i | 0.291152 | − | 0.956677i | \(-0.405961\pi\) |
−0.994749 | + | 0.102347i | \(0.967365\pi\) | |||||||
\(548\) | 1.24408 | + | 8.97164i | 0.0531444 | + | 0.383249i | ||||
\(549\) | −13.3307 | − | 3.76956i | −0.568940 | − | 0.160881i | ||||
\(550\) | 1.72332 | − | 20.7974i | 0.0734828 | − | 0.886805i | ||||
\(551\) | −27.7759 | + | 13.6759i | −1.18329 | + | 0.582613i | ||||
\(552\) | −0.0666696 | − | 0.804583i | −0.00283765 | − | 0.0342453i | ||||
\(553\) | 7.64188 | − | 39.1221i | 0.324966 | − | 1.66364i | ||||
\(554\) | 16.7083 | − | 14.5512i | 0.709866 | − | 0.618223i | ||||
\(555\) | −1.62187 | − | 0.0894810i | −0.0688445 | − | 0.00379826i | ||||
\(556\) | 11.2219 | + | 7.78110i | 0.475915 | + | 0.329992i | ||||
\(557\) | 22.4283 | + | 1.23740i | 0.950318 | + | 0.0524305i | 0.523609 | − | 0.851959i | \(-0.324585\pi\) |
0.426709 | + | 0.904389i | \(0.359673\pi\) | |||||||
\(558\) | 24.6887 | − | 8.47565i | 1.04516 | − | 0.358803i | ||||
\(559\) | −55.4908 | − | 30.0301i | −2.34701 | − | 1.27014i | ||||
\(560\) | −2.05709 | − | 2.49779i | −0.0869280 | − | 0.105551i | ||||
\(561\) | −18.5106 | − | 4.14832i | −0.781517 | − | 0.175142i | ||||
\(562\) | 2.31290 | + | 9.13343i | 0.0975638 | + | 0.385271i | ||||
\(563\) | −21.9734 | − | 3.66671i | −0.926069 | − | 0.154534i | −0.317703 | − | 0.948190i | \(-0.602911\pi\) |
−0.608366 | + | 0.793657i | \(0.708175\pi\) | |||||||
\(564\) | 0.511143 | − | 0.695435i | 0.0215230 | − | 0.0292831i | ||||
\(565\) | 4.30861 | − | 11.5078i | 0.181264 | − | 0.484136i | ||||
\(566\) | 2.53696 | − | 18.2953i | 0.106637 | − | 0.769007i | ||||
\(567\) | −20.6757 | − | 9.75710i | −0.868298 | − | 0.409760i | ||||
\(568\) | −2.13044 | + | 5.69016i | −0.0893914 | + | 0.238754i | ||||
\(569\) | −7.30765 | + | 28.8572i | −0.306353 | + | 1.20976i | 0.604358 | + | 0.796713i | \(0.293430\pi\) |
−0.910710 | + | 0.413046i | \(0.864465\pi\) | |||||||
\(570\) | −0.495512 | + | 2.10278i | −0.0207547 | + | 0.0880757i | ||||
\(571\) | 5.08924 | + | 20.0970i | 0.212978 | + | 0.841032i | 0.979932 | + | 0.199330i | \(0.0638766\pi\) |
−0.766954 | + | 0.641702i | \(0.778229\pi\) | |||||||
\(572\) | −24.1674 | − | 2.67485i | −1.01049 | − | 0.111841i | ||||
\(573\) | 2.19903 | + | 0.621825i | 0.0918656 | + | 0.0259771i | ||||
\(574\) | 0.897276 | − | 0.872884i | 0.0374516 | − | 0.0364335i | ||||
\(575\) | 5.51173 | − | 0.304090i | 0.229855 | − | 0.0126814i | ||||
\(576\) | −2.20146 | − | 1.35324i | −0.0917277 | − | 0.0563848i | ||||
\(577\) | −0.981632 | − | 1.50250i | −0.0408659 | − | 0.0625499i | 0.816149 | − | 0.577841i | \(-0.196105\pi\) |
−0.857015 | + | 0.515291i | \(0.827684\pi\) | |||||||
\(578\) | 1.78610 | − | 21.5550i | 0.0742919 | − | 0.896570i | ||||
\(579\) | 4.47133 | + | 11.9424i | 0.185822 | + | 0.496309i | ||||
\(580\) | 5.42565 | − | 0.600511i | 0.225288 | − | 0.0249349i | ||||
\(581\) | −42.9795 | − | 7.17200i | −1.78309 | − | 0.297545i | ||||
\(582\) | 2.60754 | − | 5.94460i | 0.108086 | − | 0.246412i | ||||
\(583\) | 2.98685 | − | 21.5396i | 0.123703 | − | 0.892079i | ||||
\(584\) | 0.724968 | − | 0.445636i | 0.0299994 | − | 0.0184406i | ||||
\(585\) | 8.38472 | − | 5.81384i | 0.346666 | − | 0.240373i | ||||
\(586\) | 5.00275 | − | 3.07518i | 0.206661 | − | 0.127034i | ||||
\(587\) | −22.9553 | − | 10.8329i | −0.947466 | − | 0.447120i | −0.110196 | − | 0.993910i | \(-0.535148\pi\) |
−0.837270 | + | 0.546790i | \(0.815850\pi\) | |||||||
\(588\) | 2.77876 | − | 6.33492i | 0.114594 | − | 0.261248i | ||||
\(589\) | −23.4674 | + | 37.2556i | −0.966959 | + | 1.53509i | ||||
\(590\) | −3.51812 | − | 8.02051i | −0.144839 | − | 0.330199i | ||||
\(591\) | −0.204974 | + | 7.43609i | −0.00843151 | + | 0.305880i | ||||
\(592\) | 0.978340 | + | 3.12793i | 0.0402095 | + | 0.128557i | ||||
\(593\) | 1.23333 | + | 44.7428i | 0.0506466 | + | 1.83737i | 0.419357 | + | 0.907821i | \(0.362256\pi\) |
−0.368710 | + | 0.929544i | \(0.620201\pi\) | |||||||
\(594\) | −12.8526 | + | 11.1934i | −0.527350 | + | 0.459270i | ||||
\(595\) | −10.0557 | − | 17.4169i | −0.412242 | − | 0.714025i | ||||
\(596\) | −3.23304 | + | 3.51202i | −0.132430 | + | 0.143858i | ||||
\(597\) | 6.71101 | − | 2.30389i | 0.274663 | − | 0.0942920i | ||||
\(598\) | −0.177221 | − | 6.42926i | −0.00724712 | − | 0.262912i | ||||
\(599\) | 35.2935 | − | 16.6554i | 1.44205 | − | 0.680521i | 0.463420 | − | 0.886139i | \(-0.346622\pi\) |
0.978632 | + | 0.205618i | \(0.0659203\pi\) | |||||||
\(600\) | −1.55526 | + | 2.38050i | −0.0634931 | + | 0.0971834i | ||||
\(601\) | 32.9913 | + | 25.6781i | 1.34574 | + | 1.04743i | 0.993773 | + | 0.111421i | \(0.0355404\pi\) |
0.351969 | + | 0.936012i | \(0.385512\pi\) | |||||||
\(602\) | 18.1309 | + | 48.4256i | 0.738962 | + | 1.97368i | ||||
\(603\) | 39.0403 | + | 4.32098i | 1.58984 | + | 0.175964i | ||||
\(604\) | 8.04490 | + | 1.80290i | 0.327342 | + | 0.0733591i | ||||
\(605\) | 0.241411 | − | 8.75795i | 0.00981476 | − | 0.356061i | ||||
\(606\) | −2.30274 | + | 3.98846i | −0.0935423 | + | 0.162020i | ||||
\(607\) | −9.08081 | + | 13.8992i | −0.368579 | + | 0.564151i | −0.972503 | − | 0.232890i | \(-0.925182\pi\) |
0.603925 | + | 0.797042i | \(0.293603\pi\) | |||||||
\(608\) | 4.32389 | − | 0.551348i | 0.175357 | − | 0.0223601i | ||||
\(609\) | 10.5480 | + | 16.1449i | 0.427427 | + | 0.654225i | ||||
\(610\) | −4.11389 | + | 0.226970i | −0.166567 | + | 0.00918974i | ||||
\(611\) | 4.37105 | − | 5.30747i | 0.176834 | − | 0.214717i | ||||
\(612\) | −12.1116 | − | 10.5480i | −0.489583 | − | 0.426378i | ||||
\(613\) | 6.49844 | − | 33.2684i | 0.262470 | − | 1.34370i | −0.584213 | − | 0.811600i | \(-0.698597\pi\) |
0.846683 | − | 0.532098i | \(-0.178596\pi\) | |||||||
\(614\) | −0.0362190 | − | 1.31396i | −0.00146168 | − | 0.0530270i | ||||
\(615\) | 0.129598 | + | 0.0701349i | 0.00522590 | + | 0.00282811i | ||||
\(616\) | 13.4961 | + | 14.6606i | 0.543772 | + | 0.590693i | ||||
\(617\) | −1.41929 | + | 4.53772i | −0.0571384 | + | 0.182682i | −0.978593 | − | 0.205804i | \(-0.934019\pi\) |
0.921455 | + | 0.388485i | \(0.127002\pi\) | |||||||
\(618\) | −5.22343 | + | 5.08144i | −0.210117 | + | 0.204405i | ||||
\(619\) | −6.19528 | − | 9.48258i | −0.249009 | − | 0.381137i | 0.690683 | − | 0.723157i | \(-0.257310\pi\) |
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(620\) | 6.12635 | − | 4.76833i | 0.246040 | − | 0.191501i | ||||
\(621\) | −3.39973 | − | 2.96083i | −0.136426 | − | 0.118814i | ||||
\(622\) | −18.2361 | − | 17.7404i | −0.731203 | − | 0.711325i | ||||
\(623\) | 17.1836 | + | 29.7628i | 0.688445 | + | 1.19242i | ||||
\(624\) | 2.72263 | + | 1.88783i | 0.108992 | + | 0.0755736i | ||||
\(625\) | −13.5503 | − | 9.39554i | −0.542010 | − | 0.375821i | ||||
\(626\) | 10.7860 | − | 11.7167i | 0.431093 | − | 0.468292i | ||||
\(627\) | 2.33347 | − | 13.0977i | 0.0931898 | − | 0.523073i | ||||
\(628\) | 9.85026 | + | 10.7002i | 0.393068 | + | 0.426986i | ||||
\(629\) | 2.79782 | + | 20.1764i | 0.111556 | + | 0.804487i | ||||
\(630\) | −8.31102 | − | 0.919864i | −0.331119 | − | 0.0366482i | ||||
\(631\) | −5.46511 | + | 0.604878i | −0.217563 | + | 0.0240798i | −0.218129 | − | 0.975920i | \(-0.569995\pi\) |
0.000566064 | 1.00000i | \(0.499820\pi\) | ||||||||
\(632\) | −4.27492 | − | 8.44748i | −0.170047 | − | 0.336023i | ||||
\(633\) | 1.78801 | − | 3.53320i | 0.0710669 | − | 0.140432i | ||||
\(634\) | 3.44777 | − | 13.6149i | 0.136928 | − | 0.540718i | ||||
\(635\) | 3.08355 | − | 7.02980i | 0.122367 | − | 0.278969i | ||||
\(636\) | −1.75480 | + | 2.38749i | −0.0695824 | + | 0.0946703i | ||||
\(637\) | 24.8836 | − | 49.1712i | 0.985922 | − | 1.94824i | ||||
\(638\) | −33.1577 | + | 5.53304i | −1.31273 | + | 0.219055i | ||||
\(639\) | 6.30698 | + | 14.3785i | 0.249500 | + | 0.568804i | ||||
\(640\) | −0.749944 | − | 0.168066i | −0.0296441 | − | 0.00664341i | ||||
\(641\) | −5.91189 | − | 42.6335i | −0.233506 | − | 1.68392i | −0.638516 | − | 0.769608i | \(-0.720451\pi\) |
0.405011 | − | 0.914312i | \(-0.367268\pi\) | |||||||
\(642\) | −1.11402 | + | 3.56173i | −0.0439670 | + | 0.140570i | ||||
\(643\) | 28.1225 | − | 11.4224i | 1.10904 | − | 0.450454i | 0.253055 | − | 0.967452i | \(-0.418565\pi\) |
0.855987 | + | 0.516998i | \(0.172951\pi\) | |||||||
\(644\) | −3.35087 | + | 4.06874i | −0.132043 | + | 0.160331i | ||||
\(645\) | −4.80345 | + | 3.73867i | −0.189136 | + | 0.147210i | ||||
\(646\) | 27.0714 | + | 1.04329i | 1.06511 | + | 0.0410477i | ||||
\(647\) | 37.5357 | + | 29.2152i | 1.47568 | + | 1.14857i | 0.955683 | + | 0.294398i | \(0.0951192\pi\) |
0.519996 | + | 0.854169i | \(0.325933\pi\) | |||||||
\(648\) | −5.29863 | + | 1.18745i | −0.208150 | + | 0.0466475i | ||||
\(649\) | 24.3532 | + | 48.1233i | 0.955947 | + | 1.88900i | ||||
\(650\) | −13.4159 | + | 18.2530i | −0.526214 | + | 0.715940i | ||||
\(651\) | 24.8037 | + | 11.7051i | 0.972132 | + | 0.458760i | ||||
\(652\) | 5.77654 | − | 4.00536i | 0.226227 | − | 0.156862i | ||||
\(653\) | −11.2998 | −0.442196 | −0.221098 | − | 0.975252i | \(-0.570964\pi\) | ||||
−0.221098 | + | 0.975252i | \(0.570964\pi\) | |||||||
\(654\) | −4.20127 | −0.164283 | ||||||||
\(655\) | −2.02662 | + | 1.40522i | −0.0791865 | + | 0.0549067i | ||||
\(656\) | 0.0408379 | − | 0.294502i | 0.00159445 | − | 0.0114984i | ||||
\(657\) | 0.539833 | − | 2.13175i | 0.0210609 | − | 0.0831676i | ||||
\(658\) | −5.55798 | + | 0.927463i | −0.216673 | + | 0.0361563i | ||||
\(659\) | −11.9236 | + | 3.37166i | −0.464476 | + | 0.131341i | −0.496298 | − | 0.868152i | \(-0.665308\pi\) |
0.0318219 | + | 0.999494i | \(0.489869\pi\) | |||||||
\(660\) | −1.17285 | + | 2.03144i | −0.0456533 | + | 0.0790738i | ||||
\(661\) | 9.30111 | − | 4.38930i | 0.361771 | − | 0.170724i | −0.237267 | − | 0.971445i | \(-0.576252\pi\) |
0.599038 | + | 0.800721i | \(0.295550\pi\) | |||||||
\(662\) | 2.29862 | − | 11.7677i | 0.0893384 | − | 0.457363i | ||||
\(663\) | 14.7597 | + | 14.3585i | 0.573219 | + | 0.557636i | ||||
\(664\) | −9.10190 | + | 4.92570i | −0.353222 | + | 0.191154i | ||||
\(665\) | 11.8918 | − | 7.58461i | 0.461143 | − | 0.294119i | ||||
\(666\) | 7.44835 | + | 4.03084i | 0.288618 | + | 0.156192i | ||||
\(667\) | −2.65440 | − | 8.48659i | −0.102779 | − | 0.328602i | ||||
\(668\) | 5.30043 | − | 9.18062i | 0.205080 | − | 0.355209i | ||||
\(669\) | 0.756841 | + | 3.87460i | 0.0292611 | + | 0.149801i | ||||
\(670\) | 11.3991 | − | 2.55461i | 0.440388 | − | 0.0986932i | ||||
\(671\) | 25.2186 | − | 2.79120i | 0.973555 | − | 0.107753i | ||||
\(672\) | −0.666536 | − | 2.63209i | −0.0257122 | − | 0.101535i | ||||
\(673\) | 7.61600 | + | 17.3627i | 0.293575 | + | 0.669284i | 0.999229 | − | 0.0392730i | \(-0.0125042\pi\) |
−0.705653 | + | 0.708557i | \(0.749346\pi\) | |||||||
\(674\) | 0.752024 | − | 0.212652i | 0.0289669 | − | 0.00819106i | ||||
\(675\) | 3.04409 | + | 15.5840i | 0.117167 | + | 0.599829i | ||||
\(676\) | 10.5696 | + | 8.22669i | 0.406525 | + | 0.316411i | ||||
\(677\) | 2.43477 | − | 29.3833i | 0.0935759 | − | 1.12929i | −0.774403 | − | 0.632692i | \(-0.781950\pi\) |
0.867979 | − | 0.496601i | \(-0.165419\pi\) | |||||||
\(678\) | 7.39058 | − | 7.18967i | 0.283834 | − | 0.276118i | ||||
\(679\) | −39.2654 | + | 15.9482i | −1.50687 | + | 0.612037i | ||||
\(680\) | −4.42556 | − | 1.79751i | −0.169713 | − | 0.0689313i | ||||
\(681\) | 1.27716 | + | 1.24244i | 0.0489410 | + | 0.0476106i | ||||
\(682\) | −36.0523 | + | 31.3980i | −1.38051 | + | 1.20229i | ||||
\(683\) | 14.9711 | − | 5.13960i | 0.572855 | − | 0.196661i | −0.0230251 | − | 0.999735i | \(-0.507330\pi\) |
0.595880 | + | 0.803074i | \(0.296803\pi\) | |||||||
\(684\) | 7.01547 | − | 8.81246i | 0.268243 | − | 0.336953i | ||||
\(685\) | 6.58392 | + | 2.26026i | 0.251559 | + | 0.0863602i | ||||
\(686\) | −14.5377 | + | 5.90471i | −0.555053 | + | 0.225443i | ||||
\(687\) | −6.12028 | + | 0.337665i | −0.233503 | + | 0.0128827i | ||||
\(688\) | 10.4627 | + | 6.43142i | 0.398888 | + | 0.245196i | ||||
\(689\) | −15.0062 | + | 18.2210i | −0.571692 | + | 0.694167i | ||||
\(690\) | −0.574869 | − | 0.233492i | −0.0218849 | − | 0.00888887i | ||||
\(691\) | −7.27781 | + | 3.93855i | −0.276861 | + | 0.149830i | −0.608445 | − | 0.793596i | \(-0.708206\pi\) |
0.331584 | + | 0.943426i | \(0.392417\pi\) | |||||||
\(692\) | 0.369897 | − | 0.401816i | 0.0140614 | − | 0.0152747i | ||||
\(693\) | 51.4151 | + | 2.83665i | 1.95310 | + | 0.107755i | ||||
\(694\) | 2.95087 | + | 5.11106i | 0.112014 | + | 0.194013i | ||||
\(695\) | 9.23007 | − | 4.99506i | 0.350117 | − | 0.189474i | ||||
\(696\) | 4.33227 | + | 1.48727i | 0.164214 | + | 0.0563749i | ||||
\(697\) | 0.551627 | − | 1.76365i | 0.0208944 | − | 0.0668030i | ||||
\(698\) | −20.6232 | − | 5.83170i | −0.780601 | − | 0.220733i | ||||
\(699\) | −3.82391 | − | 10.2132i | −0.144633 | − | 0.386299i | ||||
\(700\) | 18.1154 | − | 4.05976i | 0.684698 | − | 0.153444i | ||||
\(701\) | −24.8185 | − | 33.7669i | −0.937384 | − | 1.27536i | −0.961261 | − | 0.275641i | \(-0.911110\pi\) |
0.0238769 | − | 0.999715i | \(-0.492399\pi\) | |||||||
\(702\) | 18.2484 | − | 3.04512i | 0.688742 | − | 0.114931i | ||||
\(703\) | −14.0499 | + | 2.58487i | −0.529901 | + | 0.0974901i | ||||
\(704\) | 4.66829 | + | 0.779001i | 0.175943 | + | 0.0293597i | ||||
\(705\) | −0.299507 | − | 0.591843i | −0.0112801 | − | 0.0222901i | ||||
\(706\) | −12.2264 | − | 16.6346i | −0.460145 | − | 0.626050i | ||||
\(707\) | 28.9337 | − | 8.18166i | 1.08816 | − | 0.307703i | ||||
\(708\) | 0.202496 | − | 7.34618i | 0.00761027 | − | 0.276086i | ||||
\(709\) | −24.6740 | − | 29.9599i | −0.926650 | − | 1.12517i | −0.991865 | − | 0.127297i | \(-0.959370\pi\) |
0.0652147 | − | 0.997871i | \(-0.479227\pi\) | |||||||
\(710\) | 3.16265 | + | 3.43555i | 0.118692 | + | 0.128934i | ||||
\(711\) | −23.1398 | − | 7.94389i | −0.867809 | − | 0.297919i | ||||
\(712\) | 7.56259 | + | 3.07166i | 0.283420 | + | 0.115115i | ||||
\(713\) | −9.53642 | − | 8.30527i | −0.357142 | − | 0.311035i | ||||
\(714\) | −1.39356 | − | 16.8178i | −0.0521526 | − | 0.629389i | ||||
\(715\) | −10.2209 | + | 15.6443i | −0.382240 | + | 0.585062i | ||||
\(716\) | 3.14973 | + | 16.1249i | 0.117711 | + | 0.602614i | ||||
\(717\) | −6.95370 | − | 9.46084i | −0.259690 | − | 0.353322i | ||||
\(718\) | −0.0622955 | + | 0.123099i | −0.00232485 | + | 0.00459402i | ||||
\(719\) | −13.1759 | + | 35.1912i | −0.491378 | + | 1.31241i | 0.422478 | + | 0.906373i | \(0.361160\pi\) |
−0.913856 | + | 0.406038i | \(0.866910\pi\) | |||||||
\(720\) | −1.69193 | + | 1.04002i | −0.0630544 | + | 0.0387594i | ||||
\(721\) | 47.5775 | 1.77188 | ||||||||
\(722\) | 0.107060 | + | 18.9997i | 0.00398435 | + | 0.707096i | ||||
\(723\) | 3.70909 | 0.137943 | ||||||||
\(724\) | 15.1830 | − | 9.33292i | 0.564270 | − | 0.346855i | ||||
\(725\) | −10.9814 | + | 29.3300i | −0.407839 | + | 1.08929i | ||||
\(726\) | 3.31948 | − | 6.55947i | 0.123197 | − | 0.243445i | ||||
\(727\) | −5.63536 | − | 7.66719i | −0.209004 | − | 0.284360i | 0.688620 | − | 0.725123i | \(-0.258217\pi\) |
−0.897624 | + | 0.440762i | \(0.854708\pi\) | |||||||
\(728\) | −4.14680 | − | 21.2293i | −0.153691 | − | 0.786810i | ||||
\(729\) | −3.86420 | + | 5.91460i | −0.143119 | + | 0.219059i | ||||
\(730\) | −0.0540084 | − | 0.651785i | −0.00199894 | − | 0.0241236i | ||||
\(731\) | 57.5619 | + | 50.1307i | 2.12901 | + | 1.85415i | ||||
\(732\) | −3.20308 | − | 1.30098i | −0.118389 | − | 0.0480856i | ||||
\(733\) | −8.58376 | − | 2.94681i | −0.317048 | − | 0.108843i | 0.161582 | − | 0.986859i | \(-0.448340\pi\) |
−0.478631 | + | 0.878016i | \(0.658867\pi\) | |||||||
\(734\) | 16.5636 | + | 17.9929i | 0.611373 | + | 0.664129i | ||||
\(735\) | −3.37980 | − | 4.10387i | −0.124666 | − | 0.151373i | ||||
\(736\) | −0.0344957 | + | 1.25144i | −0.00127153 | + | 0.0461286i | ||||
\(737\) | −69.2248 | + | 19.5749i | −2.54993 | + | 0.721051i | ||||
\(738\) | −0.455020 | − | 0.619078i | −0.0167495 | − | 0.0227886i | ||||
\(739\) | −7.05522 | − | 13.9415i | −0.259531 | − | 0.512846i | 0.724848 | − | 0.688908i | \(-0.241910\pi\) |
−0.984379 | + | 0.176062i | \(0.943664\pi\) | |||||||
\(740\) | 2.48445 | + | 0.414581i | 0.0913300 | + | 0.0152403i | ||||
\(741\) | −9.60325 | + | 10.7858i | −0.352784 | + | 0.396225i | ||||
\(742\) | 19.0811 | − | 3.18407i | 0.700488 | − | 0.116891i | ||||
\(743\) | 8.87556 | + | 12.0756i | 0.325613 | + | 0.443012i | 0.937527 | − | 0.347912i | \(-0.113109\pi\) |
−0.611914 | + | 0.790924i | \(0.709600\pi\) | |||||||
\(744\) | 6.35652 | − | 1.42453i | 0.233042 | − | 0.0522258i | ||||
\(745\) | 1.28638 | + | 3.43577i | 0.0471294 | + | 0.125877i | ||||
\(746\) | 21.0647 | + | 5.95653i | 0.771233 | + | 0.218084i | ||||
\(747\) | −7.98341 | + | 25.5244i | −0.292098 | + | 0.933889i | ||||
\(748\) | 27.8218 | + | 9.55124i | 1.01727 | + | 0.349228i | ||||
\(749\) | 21.4281 | − | 11.5963i | 0.782967 | − | 0.423721i | ||||
\(750\) | 2.33174 | + | 4.03870i | 0.0851433 | + | 0.147472i | ||||
\(751\) | 6.84099 | + | 0.377428i | 0.249631 | + | 0.0137726i | 0.179471 | − | 0.983763i | \(-0.442561\pi\) |
0.0701601 | + | 0.997536i | \(0.477649\pi\) | |||||||
\(752\) | −0.906432 | + | 0.984647i | −0.0330542 | + | 0.0359064i | ||||
\(753\) | 6.12114 | − | 3.31259i | 0.223067 | − | 0.120718i | ||||
\(754\) | 33.8081 | + | 13.7317i | 1.23122 | + | 0.500077i | ||||
\(755\) | 4.02809 | − | 4.89104i | 0.146597 | − | 0.178003i | ||||
\(756\) | −12.9167 | − | 7.93986i | −0.469776 | − | 0.288770i | ||||
\(757\) | 27.1049 | − | 1.49542i | 0.985144 | − | 0.0543519i | 0.444654 | − | 0.895702i | \(-0.353327\pi\) |
0.540490 | + | 0.841350i | \(0.318239\pi\) | |||||||
\(758\) | 8.28381 | − | 3.36459i | 0.300882 | − | 0.122208i | ||||
\(759\) | 3.61398 | + | 1.24068i | 0.131179 | + | 0.0450339i | ||||
\(760\) | 1.12241 | − | 3.15639i | 0.0407142 | − | 0.114494i | ||||
\(761\) | −50.7662 | + | 17.4281i | −1.84027 | + | 0.631767i | −0.844987 | + | 0.534786i | \(0.820392\pi\) |
−0.995286 | + | 0.0969804i | \(0.969082\pi\) | |||||||
\(762\) | 4.85736 | − | 4.23028i | 0.175964 | − | 0.153247i | ||||
\(763\) | 19.6608 | + | 19.1263i | 0.711768 | + | 0.692419i | ||||
\(764\) | −3.28318 | − | 1.33351i | −0.118781 | − | 0.0482448i | ||||
\(765\) | −11.4362 | + | 4.64498i | −0.413476 | + | 0.167940i | ||||
\(766\) | −24.7385 | + | 24.0660i | −0.893839 | + | 0.869540i | ||||
\(767\) | 4.83467 | − | 58.3458i | 0.174570 | − | 2.10675i | ||||
\(768\) | −0.508905 | − | 0.396097i | −0.0183635 | − | 0.0142929i | ||||
\(769\) | −0.337298 | − | 1.72678i | −0.0121633 | − | 0.0622692i | 0.974876 | − | 0.222749i | \(-0.0715029\pi\) |
−0.987039 | + | 0.160480i | \(0.948696\pi\) | |||||||
\(770\) | 14.7368 | − | 4.16717i | 0.531078 | − | 0.150174i | ||||
\(771\) | 2.13648 | + | 4.87069i | 0.0769435 | + | 0.175414i | ||||
\(772\) | −4.85425 | − | 19.1690i | −0.174708 | − | 0.689907i | ||||
\(773\) | −32.4905 | + | 3.59604i | −1.16860 | + | 0.129341i | −0.673292 | − | 0.739377i | \(-0.735120\pi\) |
−0.495308 | + | 0.868717i | \(0.664945\pi\) | |||||||
\(774\) | 30.9684 | − | 6.94019i | 1.11314 | − | 0.249460i | ||||
\(775\) | 8.53882 | + | 43.7140i | 0.306723 | + | 1.57025i | ||||
\(776\) | −5.03294 | + | 8.71732i | −0.180672 | + | 0.312933i | ||||
\(777\) | 2.65636 | + | 8.49287i | 0.0952965 | + | 0.304680i | ||||
\(778\) | 1.70979 | + | 0.925293i | 0.0612990 | + | 0.0331733i | ||||
\(779\) | 1.25277 | + | 0.331898i | 0.0448850 | + | 0.0118915i | ||||
\(780\) | 2.23937 | − | 1.21189i | 0.0801824 | − | 0.0433926i | ||||
\(781\) | −20.6121 | − | 20.0517i | −0.737557 | − | 0.717507i | ||||
\(782\) | −1.49168 | + | 7.63658i | −0.0533425 | + | 0.273084i | ||||
\(783\) | 23.1315 | − | 10.9160i | 0.826652 | − | 0.390106i | ||||
\(784\) | −5.36341 | + | 9.28970i | −0.191550 | + | 0.331775i | ||||
\(785\) | 10.7558 | − | 3.04146i | 0.383892 | − | 0.108554i | ||||
\(786\) | −2.04111 | + | 0.340601i | −0.0728039 | + | 0.0121488i | ||||
\(787\) | −9.14805 | + | 36.1248i | −0.326093 | + | 1.28771i | 0.561651 | + | 0.827374i | \(0.310166\pi\) |
−0.887744 | + | 0.460337i | \(0.847728\pi\) | |||||||
\(788\) | 1.58441 | − | 11.4259i | 0.0564422 | − | 0.407031i | ||||
\(789\) | −11.1519 | + | 7.73258i | −0.397019 | + | 0.275287i | ||||
\(790\) | −7.27626 | −0.258878 | ||||||||
\(791\) | −67.3169 | −2.39351 | ||||||||
\(792\) | 10.0506 | − | 6.96890i | 0.357131 | − | 0.247629i | ||||
\(793\) | −24.9078 | − | 11.7543i | −0.884501 | − | 0.417406i | ||||
\(794\) | 2.65412 | − | 3.61106i | 0.0941913 | − | 0.128152i | ||||
\(795\) | 1.02824 | + | 2.03185i | 0.0364678 | + | 0.0720624i | ||||
\(796\) | −10.7364 | + | 2.40608i | −0.380540 | + | 0.0852811i | ||||
\(797\) | −22.4274 | − | 17.4559i | −0.794419 | − | 0.618321i | 0.133523 | − | 0.991046i | \(-0.457371\pi\) |
−0.927942 | + | 0.372725i | \(0.878424\pi\) | |||||||
\(798\) | 11.7401 | − | 1.49701i | 0.415596 | − | 0.0529934i | ||||
\(799\) | −6.56411 | + | 5.10906i | −0.232222 | + | 0.180745i | ||||
\(800\) | 2.80312 | − | 3.40364i | 0.0991053 | − | 0.120337i | ||||
\(801\) | 19.5427 | − | 7.93755i | 0.690506 | − | 0.280459i | ||||
\(802\) | 1.58247 | − | 5.05945i | 0.0558791 | − | 0.178655i | ||||
\(803\) | 0.553200 | + | 3.98939i | 0.0195220 | + | 0.140783i | ||||
\(804\) | 9.56500 | + | 2.14357i | 0.337332 | + | 0.0755978i | ||||
\(805\) | 1.62726 | + | 3.70977i | 0.0573533 | + | 0.130752i | ||||
\(806\) | 51.1877 | − | 8.54172i | 1.80301 | − | 0.300869i | ||||
\(807\) | 3.58594 | − | 7.08602i | 0.126231 | − | 0.249440i | ||||
\(808\) | 4.22947 | − | 5.75441i | 0.148792 | − | 0.202439i | ||||
\(809\) | −11.4097 | + | 26.0114i | −0.401143 | + | 0.914514i | 0.592875 | + | 0.805295i | \(0.297993\pi\) |
−0.994018 | + | 0.109219i | \(0.965165\pi\) | |||||||
\(810\) | −1.02447 | + | 4.04555i | −0.0359963 | + | 0.142146i | ||||
\(811\) | 15.7923 | − | 31.2064i | 0.554542 | − | 1.09580i | −0.426946 | − | 0.904277i | \(-0.640410\pi\) |
0.981487 | − | 0.191527i | \(-0.0613439\pi\) | |||||||
\(812\) | −13.5030 | − | 26.6827i | −0.473864 | − | 0.936380i | ||||
\(813\) | −19.3516 | + | 2.14183i | −0.678690 | + | 0.0751173i | ||||
\(814\) | −15.4171 | − | 1.70636i | −0.540368 | − | 0.0598080i | ||||
\(815\) | −0.742032 | − | 5.35115i | −0.0259923 | − | 0.187443i | ||||
\(816\) | −2.71461 | − | 2.94885i | −0.0950304 | − | 0.103231i | ||||
\(817\) | −33.3419 | + | 41.8823i | −1.16648 | + | 1.46528i | ||||
\(818\) | 7.54608 | − | 8.19723i | 0.263843 | − | 0.286609i | ||||
\(819\) | −45.9340 | − | 31.8500i | −1.60507 | − | 1.11293i | ||||
\(820\) | −0.187779 | − | 0.130203i | −0.00655753 | − | 0.00454689i | ||||
\(821\) | −10.8421 | − | 18.7791i | −0.378393 | − | 0.655395i | 0.612436 | − | 0.790520i | \(-0.290190\pi\) |
−0.990829 | + | 0.135125i | \(0.956856\pi\) | |||||||
\(822\) | 4.18675 | + | 4.07294i | 0.146030 | + | 0.142060i | ||||
\(823\) | −35.5833 | − | 30.9895i | −1.24035 | − | 1.08023i | −0.993810 | − | 0.111094i | \(-0.964565\pi\) |
−0.246544 | − | 0.969132i | \(-0.579295\pi\) | |||||||
\(824\) | 8.91745 | − | 6.94073i | 0.310654 | − | 0.241792i | ||||
\(825\) | −7.36078 | − | 11.2665i | −0.256270 | − | 0.392250i | ||||
\(826\) | −34.3912 | + | 33.4563i | −1.19662 | + | 1.16409i | ||||
\(827\) | 11.2025 | − | 35.8165i | 0.389550 | − | 1.24546i | −0.528478 | − | 0.848947i | \(-0.677237\pi\) |
0.918028 | − | 0.396515i | \(-0.129781\pi\) | |||||||
\(828\) | 2.19107 | + | 2.38014i | 0.0761450 | + | 0.0827156i | ||||
\(829\) | −17.0830 | − | 9.24486i | −0.593317 | − | 0.321087i | 0.151395 | − | 0.988473i | \(-0.451624\pi\) |
−0.744712 | + | 0.667386i | \(0.767413\pi\) | |||||||
\(830\) | 0.219164 | + | 7.95086i | 0.00760729 | + | 0.275978i | ||||
\(831\) | 2.73922 | − | 14.0233i | 0.0950226 | − | 0.486463i | ||||
\(832\) | −3.87422 | − | 3.37406i | −0.134314 | − | 0.116975i | ||||
\(833\) | −42.3834 | + | 51.4633i | −1.46850 | + | 1.78310i | ||||
\(834\) | 8.79296 | − | 0.485121i | 0.304475 | − | 0.0167984i | ||||
\(835\) | −4.45612 | − | 6.82060i | −0.154210 | − | 0.236037i | ||||
\(836\) | −5.83075 | + | 19.7889i | −0.201661 | + | 0.684412i | ||||
\(837\) | 19.8958 | − | 30.4528i | 0.687700 | − | 1.05260i | ||||
\(838\) | −12.2680 | + | 21.2488i | −0.423790 | + | 0.734026i | ||||
\(839\) | 0.0537222 | − | 1.94894i | 0.00185470 | − | 0.0672849i | −0.998127 | − | 0.0611812i | \(-0.980513\pi\) |
0.999981 | − | 0.00610372i | \(-0.00194289\pi\) | |||||||
\(840\) | −2.03623 | − | 0.456330i | −0.0702566 | − | 0.0157449i | ||||
\(841\) | 21.3188 | + | 2.35956i | 0.735131 | + | 0.0813643i | ||||
\(842\) | 6.38063 | + | 17.0419i | 0.219891 | + | 0.587302i | ||||
\(843\) | 4.79477 | + | 3.73192i | 0.165141 | + | 0.128534i | ||||
\(844\) | −3.35849 | + | 5.14054i | −0.115604 | + | 0.176945i | ||||
\(845\) | 9.30927 | − | 4.39315i | 0.320249 | − | 0.151129i | ||||
\(846\) | 0.0952948 | + | 3.45712i | 0.00327630 | + | 0.118858i | ||||
\(847\) | −45.3963 | + | 15.5846i | −1.55984 | + | 0.535492i | ||||
\(848\) | 3.11186 | − | 3.38039i | 0.106862 | − | 0.116083i | ||||
\(849\) | −5.95562 | − | 10.3154i | −0.204396 | − | 0.354025i | ||||
\(850\) | 20.6663 | − | 17.9983i | 0.708847 | − | 0.617336i | ||||
\(851\) | −0.113055 | − | 4.10141i | −0.00387546 | − | 0.140595i | ||||
\(852\) | 1.16966 | + | 3.73961i | 0.0400719 | + | 0.128117i | ||||
\(853\) | −1.12542 | + | 40.8283i | −0.0385338 | + | 1.39793i | 0.695356 | + | 0.718666i | \(0.255247\pi\) |
−0.733890 | + | 0.679269i | \(0.762297\pi\) | |||||||
\(854\) | 9.06683 | + | 20.6703i | 0.310261 | + | 0.707323i | ||||
\(855\) | −3.60850 | − | 7.86891i | −0.123408 | − | 0.269111i | ||||
\(856\) | 2.32457 | − | 5.29949i | 0.0794522 | − | 0.181133i | ||||
\(857\) | −19.0438 | − | 8.98696i | −0.650522 | − | 0.306989i | 0.0729569 | − | 0.997335i | \(-0.476756\pi\) |
−0.723479 | + | 0.690346i | \(0.757458\pi\) | |||||||
\(858\) | −13.3584 | + | 8.21138i | −0.456048 | + | 0.280332i | ||||
\(859\) | −7.53623 | + | 5.22551i | −0.257133 | + | 0.178292i | −0.691358 | − | 0.722512i | \(-0.742987\pi\) |
0.434225 | + | 0.900804i | \(0.357022\pi\) | |||||||
\(860\) | 8.04109 | − | 4.94284i | 0.274199 | − | 0.168549i | ||||
\(861\) | 0.110882 | − | 0.799623i | 0.00377885 | − | 0.0272511i | ||||
\(862\) | 7.37532 | − | 16.8140i | 0.251204 | − | 0.572688i | ||||
\(863\) | −41.8711 | − | 6.98706i | −1.42531 | − | 0.237842i | −0.598861 | − | 0.800853i | \(-0.704380\pi\) |
−0.826449 | + | 0.563011i | \(0.809643\pi\) | |||||||
\(864\) | −3.57926 | + | 0.396153i | −0.121769 | + | 0.0134774i | ||||
\(865\) | −0.147177 | − | 0.393092i | −0.00500417 | − | 0.0133655i | ||||
\(866\) | 0.929692 | − | 11.2197i | 0.0315922 | − | 0.381261i | ||||
\(867\) | −7.62891 | − | 11.6769i | −0.259091 | − | 0.396569i | ||||
\(868\) | −36.2320 | − | 22.2717i | −1.22979 | − | 0.755951i | ||||
\(869\) | 44.7405 | − | 2.46840i | 1.51772 | − | 0.0837348i | ||||
\(870\) | 2.52328 | − | 2.45469i | 0.0855472 | − | 0.0832216i | ||||
\(871\) | 75.1435 | + | 21.2485i | 2.54614 | + | 0.719980i | ||||
\(872\) | 6.47522 | + | 0.716677i | 0.219278 | + | 0.0242697i | ||||
\(873\) | 6.38545 | + | 25.2156i | 0.216115 | + | 0.853417i | ||||
\(874\) | −5.39670 | − | 0.808737i | −0.182546 | − | 0.0273559i | ||||
\(875\) | 7.47429 | − | 29.5153i | 0.252677 | − | 0.997799i | ||||
\(876\) | 0.192425 | − | 0.513944i | 0.00650143 | − | 0.0173646i | ||||
\(877\) | 29.8342 | + | 14.0791i | 1.00743 | + | 0.475417i | 0.858162 | − | 0.513380i | \(-0.171607\pi\) |
0.149267 | + | 0.988797i | \(0.452308\pi\) | |||||||
\(878\) | 1.88692 | − | 13.6075i | 0.0636804 | − | 0.459230i | ||||
\(879\) | 1.32785 | − | 3.54654i | 0.0447874 | − | 0.119622i | ||||
\(880\) | 2.15420 | − | 2.93090i | 0.0726181 | − | 0.0988005i | ||||
\(881\) | 20.7448 | + | 3.46169i | 0.698908 | + | 0.116627i | 0.503373 | − | 0.864069i | \(-0.332092\pi\) |
0.195536 | + | 0.980697i | \(0.437355\pi\) | |||||||
\(882\) | 6.80472 | + | 26.8712i | 0.229127 | + | 0.904801i | ||||
\(883\) | −18.7983 | − | 4.21280i | −0.632613 | − | 0.141772i | −0.109433 | − | 0.993994i | \(-0.534904\pi\) |
−0.523180 | + | 0.852222i | \(0.675254\pi\) | |||||||
\(884\) | −20.2991 | − | 24.6478i | −0.682731 | − | 0.828995i | ||||
\(885\) | −4.96728 | − | 2.68816i | −0.166973 | − | 0.0903615i | ||||
\(886\) | 20.6635 | − | 7.09380i | 0.694205 | − | 0.238321i | ||||
\(887\) | 5.75920 | + | 0.317744i | 0.193375 | + | 0.0106688i | 0.151516 | − | 0.988455i | \(-0.451584\pi\) |
0.0418586 | + | 0.999124i | \(0.486672\pi\) | |||||||
\(888\) | 1.73684 | + | 1.20430i | 0.0582847 | + | 0.0404137i | ||||
\(889\) | −41.9895 | − | 2.31662i | −1.40828 | − | 0.0776971i | ||||
\(890\) | 4.73075 | − | 4.12002i | 0.158575 | − | 0.138103i | ||||
\(891\) | 4.92689 | − | 25.2229i | 0.165057 | − | 0.845001i | ||||
\(892\) | −0.505530 | − | 6.10085i | −0.0169264 | − | 0.204271i | ||||
\(893\) | −3.78283 | − | 4.44095i | −0.126588 | − | 0.148611i | ||||
\(894\) | −0.254212 | + | 3.06788i | −0.00850211 | + | 0.102605i | ||||
\(895\) | 12.1505 | + | 3.43582i | 0.406145 | + | 0.114847i | ||||
\(896\) | 0.578303 | + | 4.17042i | 0.0193197 | + | 0.139324i | ||||
\(897\) | −2.63680 | − | 3.20169i | −0.0880401 | − | 0.106901i | ||||
\(898\) | 2.09703 | + | 6.70456i | 0.0699787 | + | 0.223734i | ||||
\(899\) | 64.8850 | − | 30.6200i | 2.16404 | − | 1.02123i | ||||
\(900\) | −0.940932 | − | 11.3554i | −0.0313644 | − | 0.378512i | ||||
\(901\) | 22.5352 | − | 17.5399i | 0.750757 | − | 0.584338i | ||||
\(902\) | 1.19879 | + | 0.736895i | 0.0399154 | + | 0.0245359i | ||||
\(903\) | 28.4081 | + | 17.4624i | 0.945364 | + | 0.581113i | ||||
\(904\) | −12.6172 | + | 9.82036i | −0.419642 | + | 0.326620i | ||||
\(905\) | −1.13109 | − | 13.6503i | −0.0375988 | − | 0.453750i | ||||
\(906\) | 4.80821 | − | 2.26905i | 0.159742 | − | 0.0753841i | ||||
\(907\) | −0.768082 | − | 2.45569i | −0.0255037 | − | 0.0815400i | 0.940782 | − | 0.339012i | \(-0.110093\pi\) |
−0.966286 | + | 0.257472i | \(0.917110\pi\) | |||||||
\(908\) | −1.75649 | − | 2.13279i | −0.0582911 | − | 0.0707790i | ||||
\(909\) | −2.53481 | − | 18.2797i | −0.0840743 | − | 0.606300i | ||||
\(910\) | −15.9968 | − | 4.52346i | −0.530288 | − | 0.149951i | ||||
\(911\) | 0.640802 | − | 7.73333i | 0.0212307 | − | 0.256217i | −0.977701 | − | 0.210003i | \(-0.932653\pi\) |
0.998932 | − | 0.0462142i | \(-0.0147157\pi\) | |||||||
\(912\) | 1.98206 | − | 1.99326i | 0.0656326 | − | 0.0660035i | ||||
\(913\) | −4.04486 | − | 48.8142i | −0.133865 | − | 1.61551i | ||||
\(914\) | 3.85370 | − | 19.7288i | 0.127469 | − | 0.652571i | ||||
\(915\) | −2.00368 | + | 1.74500i | −0.0662396 | + | 0.0576881i | ||||
\(916\) | 9.49050 | + | 0.523605i | 0.313575 | + | 0.0173004i | ||||
\(917\) | 11.1024 | + | 7.69824i | 0.366634 | + | 0.254218i | ||||
\(918\) | −22.3477 | − | 1.23296i | −0.737585 | − | 0.0406937i | ||||
\(919\) | 27.0602 | − | 9.28977i | 0.892633 | − | 0.306441i | 0.160042 | − | 0.987110i | \(-0.448837\pi\) |
0.732591 | + | 0.680669i | \(0.238311\pi\) | |||||||
\(920\) | 0.846188 | + | 0.457934i | 0.0278980 | + | 0.0150976i | ||||
\(921\) | −0.538886 | − | 0.654333i | −0.0177569 | − | 0.0215610i | ||||
\(922\) | 14.4458 | + | 3.23738i | 0.475747 | + | 0.106617i | ||||
\(923\) | 7.66283 | + | 30.2598i | 0.252225 | + | 0.996014i | ||||
\(924\) | 12.6752 | + | 2.11512i | 0.416985 | + | 0.0695824i | ||||
\(925\) | −8.55838 | + | 11.6441i | −0.281398 | + | 0.382855i | ||||
\(926\) | 7.16446 | − | 19.1354i | 0.235439 | − | 0.628829i | ||||
\(927\) | 4.01088 | − | 28.9244i | 0.131735 | − | 0.950001i | ||||
\(928\) | −6.42342 | − | 3.03128i | −0.210859 | − | 0.0995068i | ||||
\(929\) | 0.707307 | − | 1.88913i | 0.0232060 | − | 0.0619805i | −0.924395 | − | 0.381436i | \(-0.875430\pi\) |
0.947601 | + | 0.319455i | \(0.103500\pi\) | |||||||
\(930\) | 1.22901 | − | 4.85326i | 0.0403009 | − | 0.159145i | ||||
\(931\) | −37.3695 | − | 28.1025i | −1.22473 | − | 0.921023i | ||||
\(932\) | 4.15138 | + | 16.3934i | 0.135983 | + | 0.536984i | ||||
\(933\) | −16.3074 | − | 1.80490i | −0.533879 | − | 0.0590898i | ||||
\(934\) | −37.1592 | − | 10.5076i | −1.21589 | − | 0.343820i | ||||
\(935\) | 16.2045 | − | 15.7640i | 0.529943 | − | 0.515537i | ||||
\(936\) | −13.2558 | + | 0.731341i | −0.433278 | + | 0.0239046i | ||||
\(937\) | 21.9698 | + | 13.5048i | 0.717723 | + | 0.441183i | 0.833807 | − | 0.552057i | \(-0.186157\pi\) |
−0.116083 | + | 0.993239i | \(0.537034\pi\) | |||||||
\(938\) | −35.0030 | − | 53.5761i | −1.14289 | − | 1.74932i | ||||
\(939\) | 0.848092 | − | 10.2349i | 0.0276764 | − | 0.334005i | ||||
\(940\) | 0.360657 | + | 0.963271i | 0.0117633 | + | 0.0314184i | ||||
\(941\) | 18.0649 | − | 1.99942i | 0.588899 | − | 0.0651794i | 0.189380 | − | 0.981904i | \(-0.439352\pi\) |
0.399520 | + | 0.916725i | \(0.369177\pi\) | |||||||
\(942\) | 9.25118 | + | 1.54375i | 0.301420 | + | 0.0502980i | ||||
\(943\) | −0.149518 | + | 0.340868i | −0.00486899 | + | 0.0111002i | ||||
\(944\) | −1.56525 | + | 11.2878i | −0.0509446 | + | 0.367386i | ||||
\(945\) | −9.92707 | + | 6.10214i | −0.322927 | + | 0.198503i | ||||
\(946\) | −47.7665 | + | 33.1205i | −1.55302 | + | 1.07684i | ||||
\(947\) | 46.9184 | − | 28.8406i | 1.52464 | − | 0.937194i | 0.528547 | − | 0.848904i | \(-0.322737\pi\) |
0.996095 | − | 0.0882900i | \(-0.0281402\pi\) | |||||||
\(948\) | −5.52155 | − | 2.60568i | −0.179331 | − | 0.0846286i | ||||
\(949\) | 1.75618 | − | 4.00368i | 0.0570080 | − | 0.129965i | ||||
\(950\) | 13.2501 | + | 13.9225i | 0.429891 | + | 0.451707i | ||||
\(951\) | −3.63824 | − | 8.29435i | −0.117978 | − | 0.268963i | ||||
\(952\) | −0.721044 | + | 26.1581i | −0.0233692 | + | 0.847790i | ||||
\(953\) | 12.3300 | + | 39.4211i | 0.399406 | + | 1.27697i | 0.909086 | + | 0.416609i | \(0.136782\pi\) |
−0.509680 | + | 0.860364i | \(0.670236\pi\) | |||||||
\(954\) | −0.327156 | − | 11.8686i | −0.0105921 | − | 0.384260i | ||||
\(955\) | −2.05378 | + | 1.78864i | −0.0664588 | + | 0.0578790i | ||||
\(956\) | 9.10351 | + | 15.7677i | 0.294429 | + | 0.509965i | ||||
\(957\) | −14.6825 | + | 15.9494i | −0.474618 | + | 0.515572i | ||||
\(958\) | 24.1391 | − | 8.28697i | 0.779899 | − | 0.267740i | ||||
\(959\) | −1.05078 | − | 38.1204i | −0.0339315 | − | 1.23097i | ||||
\(960\) | −0.448221 | + | 0.211520i | −0.0144663 | + | 0.00682679i | ||||
\(961\) | 38.8534 | − | 59.4695i | 1.25333 | − | 1.91837i | ||||
\(962\) | 13.2871 | + | 10.3418i | 0.428393 | + | 0.333432i | ||||
\(963\) | −5.24346 | − | 14.0046i | −0.168968 | − | 0.451294i | ||||
\(964\) | −5.71665 | − | 0.632718i | −0.184121 | − | 0.0203785i | ||||
\(965\) | −14.8295 | − | 3.32336i | −0.477377 | − | 0.106983i | ||||
\(966\) | −0.0936617 | + | 3.39787i | −0.00301352 | + | 0.109325i | ||||
\(967\) | 0.492453 | − | 0.852954i | 0.0158362 | − | 0.0274292i | −0.857999 | − | 0.513652i | \(-0.828292\pi\) |
0.873835 | + | 0.486223i | \(0.161626\pi\) | |||||||
\(968\) | −6.23511 | + | 9.54354i | −0.200404 | + | 0.306741i | ||||
\(969\) | 14.1900 | − | 10.1920i | 0.455849 | − | 0.327413i | ||||
\(970\) | 4.23124 | + | 6.47640i | 0.135857 | + | 0.207945i | ||||
\(971\) | 1.16204 | − | 0.0641118i | 0.0372918 | − | 0.00205745i | −0.0364323 | − | 0.999336i | \(-0.511599\pi\) |
0.0737241 | + | 0.997279i | \(0.476512\pi\) | |||||||
\(972\) | −9.09410 | + | 11.0424i | −0.291694 | + | 0.354184i | ||||
\(973\) | −43.3571 | − | 37.7598i | −1.38997 | − | 1.21052i | ||||
\(974\) | −6.02890 | + | 30.8646i | −0.193179 | + | 0.988966i | ||||
\(975\) | 0.402529 | + | 14.6030i | 0.0128912 | + | 0.467671i | ||||
\(976\) | 4.71483 | + | 2.55154i | 0.150918 | + | 0.0816728i | ||||
\(977\) | 2.11528 | + | 2.29780i | 0.0676737 | + | 0.0735132i | 0.768642 | − | 0.639679i | \(-0.220933\pi\) |
−0.700968 | + | 0.713192i | \(0.747249\pi\) | |||||||
\(978\) | 1.35320 | − | 4.32642i | 0.0432705 | − | 0.138344i | ||||
\(979\) | −27.6909 | + | 26.9382i | −0.885006 | + | 0.860947i | ||||
\(980\) | 4.50907 | + | 6.90164i | 0.144037 | + | 0.220465i | ||||
\(981\) | 13.2851 | − | 10.3402i | 0.424161 | − | 0.330138i | ||||
\(982\) | 28.8935 | + | 25.1634i | 0.922030 | + | 0.802997i | ||||
\(983\) | −20.9025 | − | 20.3343i | −0.666686 | − | 0.648562i | 0.283961 | − | 0.958836i | \(-0.408351\pi\) |
−0.950647 | + | 0.310273i | \(0.899579\pi\) | |||||||
\(984\) | −0.0958685 | − | 0.166049i | −0.00305618 | − | 0.00529345i | ||||
\(985\) | −7.28536 | − | 5.05156i | −0.232131 | − | 0.160956i | ||||
\(986\) | −36.2774 | − | 25.1542i | −1.15531 | − | 0.801073i | ||||
\(987\) | −2.46112 | + | 2.67349i | −0.0783383 | + | 0.0850981i | ||||
\(988\) | 16.6409 | − | 14.9854i | 0.529419 | − | 0.476750i | ||||
\(989\) | −10.4133 | − | 11.3119i | −0.331125 | − | 0.359698i | ||||
\(990\) | −1.29106 | − | 9.31042i | −0.0410324 | − | 0.295905i | ||||
\(991\) | −38.7106 | − | 4.28449i | −1.22968 | − | 0.136101i | −0.528408 | − | 0.848991i | \(-0.677211\pi\) |
−0.701277 | + | 0.712889i | \(0.747386\pi\) | |||||||
\(992\) | −10.0400 | + | 1.11123i | −0.318771 | + | 0.0352815i | ||||
\(993\) | −3.49135 | − | 6.89909i | −0.110795 | − | 0.218936i | ||||
\(994\) | 11.5509 | − | 22.8253i | 0.366373 | − | 0.723973i | ||||
\(995\) | −2.07584 | + | 8.19730i | −0.0658085 | + | 0.259872i | ||||
\(996\) | −2.68095 | + | 6.11195i | −0.0849491 | + | 0.193665i | ||||
\(997\) | −27.5748 | + | 37.5168i | −0.873301 | + | 1.18817i | 0.107703 | + | 0.994183i | \(0.465651\pi\) |
−0.981004 | + | 0.193986i | \(0.937858\pi\) | |||||||
\(998\) | −19.8184 | + | 39.1621i | −0.627339 | + | 1.23966i | ||||
\(999\) | 11.6412 | − | 1.94257i | 0.368311 | − | 0.0614602i |
(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 | 722.2.i.a.505.6 | ✓ | 576 | |
361.178 | even | 57 | inner | 722.2.i.a.539.6 | yes | 576 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
722.2.i.a.505.6 | ✓ | 576 | 1.1 | even | 1 | trivial | |
722.2.i.a.539.6 | yes | 576 | 361.178 | even | 57 | inner |