Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(4,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(78))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.t (of order \(78\), degree \(24\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(360\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{78})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{78}]$ |
Embedding invariants
Embedding label | 4.14 | ||
Character | \(\chi\) | \(=\) | 507.4 |
Dual form | 507.2.t.b.127.14 |
$q$-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 \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{78}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.27767 | + | 0.0917871i | 1.61056 | + | 0.0649032i | 0.829116 | − | 0.559076i | \(-0.188844\pi\) |
0.781441 | + | 0.623979i | \(0.214485\pi\) | |||||||
\(3\) | −0.278217 | + | 0.960518i | −0.160629 | + | 0.554555i | ||||
\(4\) | 3.18585 | + | 0.257189i | 1.59293 | + | 0.128594i | ||||
\(5\) | −1.29798 | − | 0.492260i | −0.580476 | − | 0.220146i | 0.0468504 | − | 0.998902i | \(-0.485082\pi\) |
−0.627326 | + | 0.778756i | \(0.715851\pi\) | |||||||
\(6\) | −0.721851 | + | 2.16221i | −0.294695 | + | 0.882718i | ||||
\(7\) | 1.28355 | + | 3.01261i | 0.485138 | + | 1.13866i | 0.965221 | + | 0.261437i | \(0.0841963\pi\) |
−0.480083 | + | 0.877223i | \(0.659393\pi\) | |||||||
\(8\) | 2.70692 | + | 0.328679i | 0.957040 | + | 0.116206i | ||||
\(9\) | −0.845190 | − | 0.534466i | −0.281730 | − | 0.178155i | ||||
\(10\) | −2.91120 | − | 1.24035i | −0.920602 | − | 0.392232i | ||||
\(11\) | 1.23690 | + | 1.95600i | 0.372938 | + | 0.589755i | 0.978551 | − | 0.206005i | \(-0.0660462\pi\) |
−0.605613 | + | 0.795760i | \(0.707072\pi\) | |||||||
\(12\) | −1.13339 | + | 2.98851i | −0.327183 | + | 0.862710i | ||||
\(13\) | 2.73525 | + | 2.34913i | 0.758621 | + | 0.651533i | ||||
\(14\) | 2.64700 | + | 6.97955i | 0.707439 | + | 1.86536i | ||||
\(15\) | 0.833947 | − | 1.10978i | 0.215324 | − | 0.286544i | ||||
\(16\) | −0.174349 | − | 0.0283345i | −0.0435873 | − | 0.00708362i | ||||
\(17\) | 4.22227 | − | 1.79894i | 1.02405 | − | 0.436307i | 0.186377 | − | 0.982478i | \(-0.440326\pi\) |
0.837673 | + | 0.546171i | \(0.183915\pi\) | |||||||
\(18\) | −1.87601 | − | 1.29492i | −0.442180 | − | 0.305215i | ||||
\(19\) | −1.50270 | + | 0.867585i | −0.344743 | + | 0.199038i | −0.662368 | − | 0.749179i | \(-0.730448\pi\) |
0.317624 | + | 0.948217i | \(0.397115\pi\) | |||||||
\(20\) | −4.00858 | − | 1.90210i | −0.896346 | − | 0.425321i | ||||
\(21\) | −3.25077 | + | 0.394715i | −0.709377 | + | 0.0861340i | ||||
\(22\) | 2.63771 | + | 4.56865i | 0.562362 | + | 0.974039i | ||||
\(23\) | 4.00318 | − | 6.93371i | 0.834720 | − | 1.44578i | −0.0595375 | − | 0.998226i | \(-0.518963\pi\) |
0.894258 | − | 0.447552i | \(-0.147704\pi\) | |||||||
\(24\) | −1.06881 | + | 2.50860i | −0.218171 | + | 0.512066i | ||||
\(25\) | −2.30011 | − | 2.03772i | −0.460022 | − | 0.407544i | ||||
\(26\) | 6.01437 | + | 5.60162i | 1.17952 | + | 1.09857i | ||||
\(27\) | 0.748511 | − | 0.663123i | 0.144051 | − | 0.127618i | ||||
\(28\) | 3.31440 | + | 9.92785i | 0.626363 | + | 1.87619i | ||||
\(29\) | 0.0925207 | − | 2.29588i | 0.0171807 | − | 0.426334i | −0.967595 | − | 0.252506i | \(-0.918745\pi\) |
0.984776 | − | 0.173828i | \(-0.0556137\pi\) | |||||||
\(30\) | 2.00132 | − | 2.45117i | 0.365390 | − | 0.447521i | ||||
\(31\) | −2.88098 | − | 3.25196i | −0.517440 | − | 0.584069i | 0.430471 | − | 0.902604i | \(-0.358347\pi\) |
−0.947911 | + | 0.318536i | \(0.896809\pi\) | |||||||
\(32\) | −5.73789 | − | 1.17140i | −1.01433 | − | 0.207076i | ||||
\(33\) | −2.22290 | + | 0.643870i | −0.386956 | + | 0.112083i | ||||
\(34\) | 9.78206 | − | 3.70985i | 1.67761 | − | 0.636233i | ||||
\(35\) | −0.183043 | − | 4.54216i | −0.0309399 | − | 0.767766i | ||||
\(36\) | −2.55519 | − | 1.92010i | −0.425865 | − | 0.320017i | ||||
\(37\) | −11.7498 | + | 2.39873i | −1.93165 | + | 0.394349i | −0.932171 | + | 0.362018i | \(0.882088\pi\) |
−0.999477 | + | 0.0323306i | \(0.989707\pi\) | |||||||
\(38\) | −3.50229 | + | 1.83814i | −0.568147 | + | 0.298186i | ||||
\(39\) | −3.01738 | + | 1.97368i | −0.483167 | + | 0.316042i | ||||
\(40\) | −3.35174 | − | 1.75913i | −0.529957 | − | 0.278143i | ||||
\(41\) | −1.82716 | − | 0.529244i | −0.285355 | − | 0.0826540i | 0.132454 | − | 0.991189i | \(-0.457714\pi\) |
−0.417808 | + | 0.908535i | \(0.637202\pi\) | |||||||
\(42\) | −7.44043 | + | 0.600653i | −1.14808 | + | 0.0926828i | ||||
\(43\) | 0.284648 | − | 1.39430i | 0.0434084 | − | 0.212628i | −0.952301 | − | 0.305159i | \(-0.901290\pi\) |
0.995710 | + | 0.0925306i | \(0.0294956\pi\) | |||||||
\(44\) | 3.43751 | + | 6.54963i | 0.518224 | + | 0.987394i | ||||
\(45\) | 0.833947 | + | 1.10978i | 0.124317 | + | 0.165436i | ||||
\(46\) | 9.75435 | − | 15.4253i | 1.43820 | − | 2.27433i | ||||
\(47\) | 8.22934 | − | 5.68030i | 1.20037 | − | 0.828558i | 0.211508 | − | 0.977376i | \(-0.432162\pi\) |
0.988864 | + | 0.148819i | \(0.0475471\pi\) | |||||||
\(48\) | 0.0757227 | − | 0.159582i | 0.0109296 | − | 0.0230337i | ||||
\(49\) | −2.57924 | + | 2.68528i | −0.368463 | + | 0.383611i | ||||
\(50\) | −5.05186 | − | 4.85238i | −0.714441 | − | 0.686230i | ||||
\(51\) | 0.553206 | + | 4.55606i | 0.0774643 | + | 0.637976i | ||||
\(52\) | 8.10992 | + | 8.18747i | 1.12464 | + | 1.13540i | ||||
\(53\) | −0.592201 | + | 4.87722i | −0.0813451 | + | 0.669937i | 0.893815 | + | 0.448436i | \(0.148019\pi\) |
−0.975160 | + | 0.221501i | \(0.928904\pi\) | |||||||
\(54\) | 1.76573 | − | 1.44167i | 0.240285 | − | 0.196187i | ||||
\(55\) | −0.642613 | − | 3.14773i | −0.0866499 | − | 0.424439i | ||||
\(56\) | 2.48429 | + | 8.57677i | 0.331977 | + | 1.14612i | ||||
\(57\) | −0.415253 | − | 1.68475i | −0.0550016 | − | 0.223150i | ||||
\(58\) | 0.421464 | − | 5.22076i | 0.0553409 | − | 0.685520i | ||||
\(59\) | 1.33357 | + | 8.20578i | 0.173616 | + | 1.06830i | 0.916839 | + | 0.399258i | \(0.130732\pi\) |
−0.743223 | + | 0.669044i | \(0.766704\pi\) | |||||||
\(60\) | 2.94225 | − | 3.32112i | 0.379843 | − | 0.428755i | ||||
\(61\) | 5.05622 | − | 3.79950i | 0.647383 | − | 0.486476i | −0.225605 | − | 0.974219i | \(-0.572436\pi\) |
0.872988 | + | 0.487742i | \(0.162179\pi\) | |||||||
\(62\) | −6.26344 | − | 7.67133i | −0.795458 | − | 0.974259i | ||||
\(63\) | 0.525291 | − | 3.23224i | 0.0661804 | − | 0.407225i | ||||
\(64\) | −12.6185 | − | 3.11018i | −1.57731 | − | 0.388773i | ||||
\(65\) | −2.39392 | − | 4.39559i | −0.296929 | − | 0.545206i | ||||
\(66\) | −5.12213 | + | 1.26249i | −0.630490 | + | 0.155402i | ||||
\(67\) | −1.21561 | − | 15.0581i | −0.148511 | − | 1.83964i | −0.458259 | − | 0.888819i | \(-0.651527\pi\) |
0.309748 | − | 0.950819i | \(-0.399755\pi\) | |||||||
\(68\) | 13.9142 | − | 4.64524i | 1.68734 | − | 0.563318i | ||||
\(69\) | 5.54620 | + | 5.77420i | 0.667684 | + | 0.695132i | ||||
\(70\) | − | 10.3624i | − | 1.23854i | ||||||
\(71\) | −3.62615 | + | 3.48296i | −0.430344 | + | 0.413351i | −0.876347 | − | 0.481680i | \(-0.840027\pi\) |
0.446003 | + | 0.895032i | \(0.352847\pi\) | |||||||
\(72\) | −2.11219 | − | 1.72455i | −0.248924 | − | 0.203240i | ||||
\(73\) | −1.90815 | + | 3.63568i | −0.223332 | + | 0.425524i | −0.971180 | − | 0.238346i | \(-0.923395\pi\) |
0.747848 | + | 0.663870i | \(0.231087\pi\) | |||||||
\(74\) | −26.9823 | + | 4.38505i | −3.13663 | + | 0.509751i | ||||
\(75\) | 2.59720 | − | 1.64237i | 0.299899 | − | 0.189644i | ||||
\(76\) | −5.01051 | + | 2.37752i | −0.574745 | + | 0.272720i | ||||
\(77\) | −4.30503 | + | 6.23691i | −0.490604 | + | 0.710762i | ||||
\(78\) | −7.05376 | + | 4.21845i | −0.798681 | + | 0.477645i | ||||
\(79\) | 6.07029 | + | 8.79433i | 0.682961 | + | 0.989439i | 0.999169 | + | 0.0407497i | \(0.0129746\pi\) |
−0.316209 | + | 0.948690i | \(0.602410\pi\) | |||||||
\(80\) | 0.212354 | + | 0.122603i | 0.0237419 | + | 0.0137074i | ||||
\(81\) | 0.428693 | + | 0.903450i | 0.0476325 | + | 0.100383i | ||||
\(82\) | −4.11310 | − | 1.37315i | −0.454216 | − | 0.151640i | ||||
\(83\) | 0.966001 | − | 3.91922i | 0.106032 | − | 0.430191i | −0.893801 | − | 0.448465i | \(-0.851971\pi\) |
0.999833 | + | 0.0182741i | \(0.00581716\pi\) | |||||||
\(84\) | −10.4580 | + | 0.421443i | −1.14106 | + | 0.0459832i | ||||
\(85\) | −6.36598 | + | 0.256540i | −0.690488 | + | 0.0278257i | ||||
\(86\) | 0.776312 | − | 3.14962i | 0.0837119 | − | 0.339633i | ||||
\(87\) | 2.17949 | + | 0.727621i | 0.233666 | + | 0.0780092i | ||||
\(88\) | 2.70528 | + | 5.70126i | 0.288384 | + | 0.607757i | ||||
\(89\) | −0.715057 | − | 0.412838i | −0.0757958 | − | 0.0437608i | 0.461623 | − | 0.887076i | \(-0.347267\pi\) |
−0.537419 | + | 0.843315i | \(0.680601\pi\) | |||||||
\(90\) | 1.79759 | + | 2.60426i | 0.189483 | + | 0.274514i | ||||
\(91\) | −3.56619 | + | 11.2555i | −0.373839 | + | 1.17989i | ||||
\(92\) | 14.5368 | − | 21.0602i | 1.51557 | − | 2.19568i | ||||
\(93\) | 3.92510 | − | 1.86248i | 0.407014 | − | 0.193131i | ||||
\(94\) | 19.2651 | − | 12.1825i | 1.98705 | − | 1.25653i | ||||
\(95\) | 2.37756 | − | 0.386391i | 0.243932 | − | 0.0396429i | ||||
\(96\) | 2.72153 | − | 5.18545i | 0.277765 | − | 0.529237i | ||||
\(97\) | 5.90135 | + | 4.81831i | 0.599192 | + | 0.489225i | 0.882821 | − | 0.469709i | \(-0.155641\pi\) |
−0.283630 | + | 0.958934i | \(0.591539\pi\) | |||||||
\(98\) | −6.12115 | + | 5.87944i | −0.618329 | + | 0.593913i | ||||
\(99\) | − | 2.31427i | − | 0.232593i | ||||||
\(100\) | −6.80373 | − | 7.08344i | −0.680373 | − | 0.708344i | ||||
\(101\) | −4.51832 | + | 1.50844i | −0.449590 | + | 0.150095i | −0.532442 | − | 0.846467i | \(-0.678725\pi\) |
0.0828518 | + | 0.996562i | \(0.473597\pi\) | |||||||
\(102\) | 0.841834 | + | 10.4280i | 0.0833540 | + | 1.03252i | ||||
\(103\) | 10.1048 | − | 2.49061i | 0.995655 | − | 0.245407i | 0.292362 | − | 0.956308i | \(-0.405559\pi\) |
0.703292 | + | 0.710901i | \(0.251713\pi\) | |||||||
\(104\) | 6.63197 | + | 7.25793i | 0.650318 | + | 0.711699i | ||||
\(105\) | 4.41376 | + | 1.08789i | 0.430738 | + | 0.106168i | ||||
\(106\) | −1.79651 | + | 11.0543i | −0.174492 | + | 1.07369i | ||||
\(107\) | 3.93285 | + | 4.81687i | 0.380203 | + | 0.465664i | 0.928886 | − | 0.370366i | \(-0.120768\pi\) |
−0.548683 | + | 0.836031i | \(0.684870\pi\) | |||||||
\(108\) | 2.55519 | − | 1.92010i | 0.245873 | − | 0.184762i | ||||
\(109\) | −0.473051 | + | 0.533964i | −0.0453100 | + | 0.0511445i | −0.770729 | − | 0.637163i | \(-0.780108\pi\) |
0.725419 | + | 0.688308i | \(0.241646\pi\) | |||||||
\(110\) | −1.17474 | − | 7.22847i | −0.112007 | − | 0.689208i | ||||
\(111\) | 0.964964 | − | 11.9532i | 0.0915903 | − | 1.13455i | ||||
\(112\) | −0.138426 | − | 0.561615i | −0.0130800 | − | 0.0530676i | ||||
\(113\) | −2.90959 | − | 10.0451i | −0.273711 | − | 0.944959i | −0.973132 | − | 0.230249i | \(-0.926046\pi\) |
0.699421 | − | 0.714710i | \(-0.253441\pi\) | |||||||
\(114\) | −0.791173 | − | 3.87542i | −0.0741001 | − | 0.362966i | ||||
\(115\) | −8.60925 | + | 7.02924i | −0.802817 | + | 0.655480i | ||||
\(116\) | 0.885231 | − | 7.29053i | 0.0821916 | − | 0.676909i | ||||
\(117\) | −1.05627 | − | 3.44736i | −0.0976522 | − | 0.318709i | ||||
\(118\) | 2.28425 | + | 18.8125i | 0.210282 | + | 1.73183i | ||||
\(119\) | 10.8390 | + | 10.4110i | 0.993610 | + | 0.954376i | ||||
\(120\) | 2.62219 | − | 2.72999i | 0.239372 | − | 0.249213i | ||||
\(121\) | 2.41961 | − | 5.09922i | 0.219965 | − | 0.463566i | ||||
\(122\) | 11.8652 | − | 8.18993i | 1.07422 | − | 0.741481i | ||||
\(123\) | 1.01670 | − | 1.60778i | 0.0916725 | − | 0.144968i | ||||
\(124\) | −8.34201 | − | 11.1012i | −0.749135 | − | 0.996918i | ||||
\(125\) | 5.20805 | + | 9.92311i | 0.465822 | + | 0.887550i | ||||
\(126\) | 1.49312 | − | 7.31378i | 0.133018 | − | 0.651563i | ||||
\(127\) | −6.10568 | + | 0.492901i | −0.541791 | + | 0.0437379i | −0.348333 | − | 0.937371i | \(-0.613252\pi\) |
−0.193458 | + | 0.981109i | \(0.561970\pi\) | |||||||
\(128\) | −17.2053 | − | 4.98358i | −1.52075 | − | 0.440490i | ||||
\(129\) | 1.26005 | + | 0.661327i | 0.110941 | + | 0.0582266i | ||||
\(130\) | −5.04911 | − | 10.2314i | −0.442836 | − | 0.897357i | ||||
\(131\) | 15.8089 | − | 8.29716i | 1.38123 | − | 0.724926i | 0.399775 | − | 0.916613i | \(-0.369088\pi\) |
0.981456 | + | 0.191687i | \(0.0613959\pi\) | |||||||
\(132\) | −7.24741 | + | 1.47957i | −0.630806 | + | 0.128780i | ||||
\(133\) | −4.54249 | − | 3.41346i | −0.393884 | − | 0.295985i | ||||
\(134\) | −1.38663 | − | 34.4089i | −0.119787 | − | 2.97248i | ||||
\(135\) | −1.29798 | + | 0.492260i | −0.111713 | + | 0.0423670i | ||||
\(136\) | 12.0206 | − | 3.48181i | 1.03076 | − | 0.298563i | ||||
\(137\) | −12.9701 | − | 2.64787i | −1.10811 | − | 0.226223i | −0.389083 | − | 0.921203i | \(-0.627208\pi\) |
−0.719029 | + | 0.694980i | \(0.755413\pi\) | |||||||
\(138\) | 12.1024 | + | 13.6608i | 1.03023 | + | 1.16289i | ||||
\(139\) | −9.67573 | + | 11.8506i | −0.820685 | + | 1.00516i | 0.179088 | + | 0.983833i | \(0.442685\pi\) |
−0.999773 | + | 0.0213234i | \(0.993212\pi\) | |||||||
\(140\) | 0.585045 | − | 14.5177i | 0.0494453 | − | 1.22697i | ||||
\(141\) | 3.16649 | + | 9.48479i | 0.266666 | + | 0.798764i | ||||
\(142\) | −8.57886 | + | 7.60021i | −0.719922 | + | 0.637795i | ||||
\(143\) | −1.21168 | + | 8.25577i | −0.101326 | + | 0.690382i | ||||
\(144\) | 0.132214 | + | 0.117132i | 0.0110179 | + | 0.00976097i | ||||
\(145\) | −1.25026 | + | 2.93447i | −0.103828 | + | 0.243694i | ||||
\(146\) | −4.67985 | + | 8.10574i | −0.387307 | + | 0.670836i | ||||
\(147\) | −1.86167 | − | 3.22450i | −0.153548 | − | 0.265952i | ||||
\(148\) | −38.0499 | + | 4.62010i | −3.12768 | + | 0.379769i | ||||
\(149\) | 19.7199 | + | 9.35722i | 1.61552 | + | 0.766573i | 0.999772 | − | 0.0213709i | \(-0.00680310\pi\) |
0.615747 | + | 0.787944i | \(0.288854\pi\) | |||||||
\(150\) | 6.06632 | − | 3.50239i | 0.495313 | − | 0.285969i | ||||
\(151\) | −18.8068 | − | 12.9814i | −1.53048 | − | 1.05641i | −0.974275 | − | 0.225364i | \(-0.927643\pi\) |
−0.556201 | − | 0.831048i | \(-0.687742\pi\) | |||||||
\(152\) | −4.35284 | + | 1.85457i | −0.353062 | + | 0.150426i | ||||
\(153\) | −4.53009 | − | 0.736211i | −0.366236 | − | 0.0595192i | ||||
\(154\) | −10.3779 | + | 13.8105i | −0.836276 | + | 1.11288i | ||||
\(155\) | 2.13866 | + | 5.63918i | 0.171781 | + | 0.452950i | ||||
\(156\) | −10.1205 | + | 5.51182i | −0.810291 | + | 0.441299i | ||||
\(157\) | −3.28305 | + | 8.65668i | −0.262016 | + | 0.690879i | 0.737858 | + | 0.674956i | \(0.235838\pi\) |
−0.999873 | + | 0.0159221i | \(0.994932\pi\) | |||||||
\(158\) | 13.0189 | + | 20.5878i | 1.03573 | + | 1.63788i | ||||
\(159\) | −4.51989 | − | 1.92575i | −0.358451 | − | 0.152722i | ||||
\(160\) | 6.87106 | + | 4.34500i | 0.543205 | + | 0.343502i | ||||
\(161\) | 26.0269 | + | 3.16023i | 2.05120 | + | 0.249061i | ||||
\(162\) | 0.893496 | + | 2.09711i | 0.0701997 | + | 0.164765i | ||||
\(163\) | −2.81859 | + | 8.44271i | −0.220769 | + | 0.661284i | 0.778658 | + | 0.627448i | \(0.215901\pi\) |
−0.999427 | + | 0.0338360i | \(0.989228\pi\) | |||||||
\(164\) | −5.68495 | − | 2.15602i | −0.443920 | − | 0.168357i | ||||
\(165\) | 3.20223 | + | 0.258511i | 0.249294 | + | 0.0201251i | ||||
\(166\) | 2.55997 | − | 8.83804i | 0.198692 | − | 0.685965i | ||||
\(167\) | 4.88360 | + | 0.196802i | 0.377904 | + | 0.0152290i | 0.228491 | − | 0.973546i | \(-0.426621\pi\) |
0.149413 | + | 0.988775i | \(0.452262\pi\) | |||||||
\(168\) | −8.92931 | −0.688911 | ||||||||
\(169\) | 1.96314 | + | 12.8509i | 0.151011 | + | 0.988532i | ||||
\(170\) | −14.5232 | −1.11388 | ||||||||
\(171\) | 1.73376 | + | 0.0698682i | 0.132584 | + | 0.00534296i | ||||
\(172\) | 1.26544 | − | 4.36881i | 0.0964891 | − | 0.333119i | ||||
\(173\) | −15.5750 | − | 1.25735i | −1.18415 | − | 0.0955943i | −0.527342 | − | 0.849653i | \(-0.676811\pi\) |
−0.656807 | + | 0.754059i | \(0.728093\pi\) | |||||||
\(174\) | 4.89738 | + | 1.85733i | 0.371269 | + | 0.140804i | ||||
\(175\) | 3.18654 | − | 9.54486i | 0.240880 | − | 0.721524i | ||||
\(176\) | −0.160230 | − | 0.376073i | −0.0120778 | − | 0.0283476i | ||||
\(177\) | −8.25282 | − | 1.00207i | −0.620320 | − | 0.0753205i | ||||
\(178\) | −1.59077 | − | 1.00594i | −0.119233 | − | 0.0753986i | ||||
\(179\) | −3.33505 | − | 1.42093i | −0.249274 | − | 0.106206i | 0.263716 | − | 0.964600i | \(-0.415052\pi\) |
−0.512990 | + | 0.858395i | \(0.671462\pi\) | |||||||
\(180\) | 2.37141 | + | 3.75008i | 0.176754 | + | 0.279515i | ||||
\(181\) | 4.03954 | − | 10.6514i | 0.300257 | − | 0.791712i | −0.696957 | − | 0.717113i | \(-0.745463\pi\) |
0.997214 | − | 0.0745992i | \(-0.0237677\pi\) | |||||||
\(182\) | −9.15573 | + | 25.3089i | −0.678668 | + | 1.87602i | ||||
\(183\) | 2.24276 | + | 5.91368i | 0.165790 | + | 0.437152i | ||||
\(184\) | 13.1152 | − | 17.4532i | 0.966868 | − | 1.28667i | ||||
\(185\) | 16.4318 | + | 2.67043i | 1.20809 | + | 0.196334i | ||||
\(186\) | 9.11105 | − | 3.88185i | 0.668054 | − | 0.284631i | ||||
\(187\) | 8.74123 | + | 6.03363i | 0.639222 | + | 0.441223i | ||||
\(188\) | 27.6784 | − | 15.9801i | 2.01865 | − | 1.16547i | ||||
\(189\) | 2.95848 | + | 1.40382i | 0.215198 | + | 0.102113i | ||||
\(190\) | 5.45077 | − | 0.661843i | 0.395440 | − | 0.0480151i | ||||
\(191\) | −8.38075 | − | 14.5159i | −0.606410 | − | 1.05033i | −0.991827 | − | 0.127590i | \(-0.959276\pi\) |
0.385417 | − | 0.922742i | \(-0.374058\pi\) | |||||||
\(192\) | 6.49808 | − | 11.2550i | 0.468958 | − | 0.812260i | ||||
\(193\) | −10.3465 | + | 24.2842i | −0.744760 | + | 1.74802i | −0.0851997 | + | 0.996364i | \(0.527153\pi\) |
−0.659560 | + | 0.751652i | \(0.729257\pi\) | |||||||
\(194\) | 12.9991 | + | 11.5162i | 0.933280 | + | 0.826814i | ||||
\(195\) | 4.88808 | − | 1.07647i | 0.350042 | − | 0.0770878i | ||||
\(196\) | −8.90771 | + | 7.89154i | −0.636265 | + | 0.563682i | ||||
\(197\) | 5.59011 | + | 16.7444i | 0.398279 | + | 1.19299i | 0.936645 | + | 0.350280i | \(0.113914\pi\) |
−0.538366 | + | 0.842711i | \(0.680958\pi\) | |||||||
\(198\) | 0.212420 | − | 5.27114i | 0.0150960 | − | 0.374604i | ||||
\(199\) | −10.6409 | + | 13.0328i | −0.754316 | + | 0.923869i | −0.998953 | − | 0.0457455i | \(-0.985434\pi\) |
0.244637 | + | 0.969615i | \(0.421331\pi\) | |||||||
\(200\) | −5.55646 | − | 6.27194i | −0.392901 | − | 0.443493i | ||||
\(201\) | 14.8018 | + | 3.02180i | 1.04404 | + | 0.213141i | ||||
\(202\) | −10.4297 | + | 3.02100i | −0.733832 | + | 0.212557i | ||||
\(203\) | 7.03534 | − | 2.66815i | 0.493784 | − | 0.187268i | ||||
\(204\) | 0.590665 | + | 14.6572i | 0.0413548 | + | 1.02621i | ||||
\(205\) | 2.11110 | + | 1.58639i | 0.147446 | + | 0.110798i | ||||
\(206\) | 23.2440 | − | 4.74530i | 1.61949 | − | 0.330621i | ||||
\(207\) | −7.08928 | + | 3.72074i | −0.492739 | + | 0.258609i | ||||
\(208\) | −0.410326 | − | 0.487071i | −0.0284510 | − | 0.0337723i | ||||
\(209\) | −3.55568 | − | 1.86616i | −0.245951 | − | 0.129085i | ||||
\(210\) | 9.95324 | + | 2.88299i | 0.686838 | + | 0.198945i | ||||
\(211\) | 3.15237 | − | 0.254486i | 0.217018 | − | 0.0175195i | 0.0285208 | − | 0.999593i | \(-0.490920\pi\) |
0.188497 | + | 0.982074i | \(0.439638\pi\) | |||||||
\(212\) | −3.14103 | + | 15.3858i | −0.215727 | + | 1.05670i | ||||
\(213\) | −2.33659 | − | 4.45200i | −0.160100 | − | 0.305046i | ||||
\(214\) | 8.51562 | + | 11.3322i | 0.582116 | + | 0.774656i | ||||
\(215\) | −1.05582 | + | 1.66965i | −0.0720067 | + | 0.113869i | ||||
\(216\) | 2.24411 | − | 1.54900i | 0.152692 | − | 0.105396i | ||||
\(217\) | 6.09898 | − | 12.8533i | 0.414026 | − | 0.872541i | ||||
\(218\) | −1.12647 | + | 1.17277i | −0.0762939 | + | 0.0794303i | ||||
\(219\) | −2.96125 | − | 2.84432i | −0.200103 | − | 0.192202i | ||||
\(220\) | −1.23771 | − | 10.1935i | −0.0834464 | − | 0.687243i | ||||
\(221\) | 15.7749 | + | 4.99813i | 1.06113 | + | 0.336211i | ||||
\(222\) | 3.29502 | − | 27.1370i | 0.221147 | − | 1.82131i | ||||
\(223\) | −5.72311 | + | 4.67278i | −0.383248 | + | 0.312912i | −0.804412 | − | 0.594072i | \(-0.797519\pi\) |
0.421164 | + | 0.906985i | \(0.361622\pi\) | |||||||
\(224\) | −3.83592 | − | 18.7896i | −0.256298 | − | 1.25543i | ||||
\(225\) | 0.854939 | + | 2.95159i | 0.0569959 | + | 0.196773i | ||||
\(226\) | −5.70508 | − | 23.1464i | −0.379496 | − | 1.53968i | ||||
\(227\) | 1.82491 | − | 22.6055i | 0.121123 | − | 1.50038i | −0.595746 | − | 0.803173i | \(-0.703144\pi\) |
0.716869 | − | 0.697208i | \(-0.245574\pi\) | |||||||
\(228\) | −0.889637 | − | 5.47416i | −0.0589176 | − | 0.362535i | ||||
\(229\) | −16.5597 | + | 18.6921i | −1.09430 | + | 1.23521i | −0.124259 | + | 0.992250i | \(0.539655\pi\) |
−0.970037 | + | 0.242956i | \(0.921883\pi\) | |||||||
\(230\) | −20.2542 | + | 15.2201i | −1.33553 | + | 1.00358i | ||||
\(231\) | −4.79293 | − | 5.87028i | −0.315352 | − | 0.386236i | ||||
\(232\) | 1.00505 | − | 6.18434i | 0.0659850 | − | 0.406022i | ||||
\(233\) | −23.9817 | − | 5.91097i | −1.57110 | − | 0.387241i | −0.644896 | − | 0.764271i | \(-0.723099\pi\) |
−0.926201 | + | 0.377030i | \(0.876945\pi\) | |||||||
\(234\) | −2.08942 | − | 7.94891i | −0.136589 | − | 0.519636i | ||||
\(235\) | −13.4777 | + | 3.32197i | −0.879191 | + | 0.216701i | ||||
\(236\) | 2.13812 | + | 26.4854i | 0.139180 | + | 1.72405i | ||||
\(237\) | −10.1360 | + | 3.38388i | −0.658402 | + | 0.219807i | ||||
\(238\) | 23.7321 | + | 24.7078i | 1.53832 | + | 1.60157i | ||||
\(239\) | − | 6.52637i | − | 0.422156i | −0.977469 | − | 0.211078i | \(-0.932303\pi\) | ||
0.977469 | − | 0.211078i | \(-0.0676974\pi\) | |||||||
\(240\) | −0.176843 | + | 0.169860i | −0.0114152 | + | 0.0109644i | ||||
\(241\) | 3.32034 | + | 2.71097i | 0.213882 | + | 0.174629i | 0.733330 | − | 0.679873i | \(-0.237965\pi\) |
−0.519448 | + | 0.854502i | \(0.673862\pi\) | |||||||
\(242\) | 5.97913 | − | 11.3923i | 0.384353 | − | 0.732323i | ||||
\(243\) | −0.987050 | + | 0.160411i | −0.0633193 | + | 0.0102904i | ||||
\(244\) | 17.0856 | − | 10.8042i | 1.09379 | − | 0.691671i | ||||
\(245\) | 4.66967 | − | 2.21579i | 0.298334 | − | 0.141561i | ||||
\(246\) | 2.46328 | − | 3.56867i | 0.157053 | − | 0.227530i | ||||
\(247\) | −6.14833 | − | 1.15699i | −0.391209 | − | 0.0736174i | ||||
\(248\) | −6.72973 | − | 9.74969i | −0.427338 | − | 0.619106i | ||||
\(249\) | 3.49573 | + | 2.01826i | 0.221533 | + | 0.127902i | ||||
\(250\) | 10.9514 | + | 23.0796i | 0.692628 | + | 1.45968i | ||||
\(251\) | 0.824971 | + | 0.275416i | 0.0520717 | + | 0.0173841i | 0.342585 | − | 0.939487i | \(-0.388698\pi\) |
−0.290513 | + | 0.956871i | \(0.593826\pi\) | |||||||
\(252\) | 2.50479 | − | 10.1624i | 0.157787 | − | 0.640168i | ||||
\(253\) | 18.5138 | − | 0.746082i | 1.16395 | − | 0.0469057i | ||||
\(254\) | −13.9520 | + | 0.562245i | −0.875425 | + | 0.0352784i | ||||
\(255\) | 1.52472 | − | 6.18601i | 0.0954814 | − | 0.387383i | ||||
\(256\) | −14.0760 | − | 4.69925i | −0.879748 | − | 0.293703i | ||||
\(257\) | 4.43016 | + | 9.33637i | 0.276346 | + | 0.582387i | 0.993409 | − | 0.114621i | \(-0.0365655\pi\) |
−0.717063 | + | 0.697008i | \(0.754514\pi\) | |||||||
\(258\) | 2.80929 | + | 1.62194i | 0.174899 | + | 0.100978i | ||||
\(259\) | −22.3079 | − | 32.3185i | −1.38614 | − | 2.00818i | ||||
\(260\) | −6.49618 | − | 14.6194i | −0.402876 | − | 0.906656i | ||||
\(261\) | −1.30527 | + | 1.89100i | −0.0807939 | + | 0.117050i | ||||
\(262\) | 36.7691 | − | 17.4472i | 2.27160 | − | 1.07789i | ||||
\(263\) | −16.3825 | + | 10.3597i | −1.01019 | + | 0.638805i | −0.933622 | − | 0.358259i | \(-0.883370\pi\) |
−0.0765674 | + | 0.997064i | \(0.524396\pi\) | |||||||
\(264\) | −6.22882 | + | 1.01228i | −0.383357 | + | 0.0623017i | ||||
\(265\) | 3.16953 | − | 6.03903i | 0.194703 | − | 0.370975i | ||||
\(266\) | −10.0330 | − | 8.19169i | −0.615162 | − | 0.502265i | ||||
\(267\) | 0.595480 | − | 0.571966i | 0.0364428 | − | 0.0350038i | ||||
\(268\) | − | 48.2854i | − | 2.94950i | ||||||
\(269\) | 0.583234 | + | 0.607211i | 0.0355604 | + | 0.0370223i | 0.738745 | − | 0.673985i | \(-0.235419\pi\) |
−0.703185 | + | 0.711007i | \(0.748239\pi\) | |||||||
\(270\) | −3.00157 | + | 1.00207i | −0.182669 | + | 0.0609840i | ||||
\(271\) | −0.893148 | − | 11.0636i | −0.0542549 | − | 0.672067i | −0.965534 | − | 0.260278i | \(-0.916186\pi\) |
0.911279 | − | 0.411790i | \(-0.135096\pi\) | |||||||
\(272\) | −0.787120 | + | 0.194008i | −0.0477262 | + | 0.0117634i | ||||
\(273\) | −9.81891 | − | 6.55686i | −0.594267 | − | 0.396839i | ||||
\(274\) | −29.2986 | − | 7.22147i | −1.77000 | − | 0.436265i | ||||
\(275\) | 1.14077 | − | 7.01946i | 0.0687912 | − | 0.423289i | ||||
\(276\) | 16.1843 | + | 19.8222i | 0.974181 | + | 1.19315i | ||||
\(277\) | 19.0483 | − | 14.3138i | 1.14450 | − | 0.860035i | 0.152754 | − | 0.988264i | \(-0.451186\pi\) |
0.991745 | + | 0.128229i | \(0.0409293\pi\) | |||||||
\(278\) | −23.1259 | + | 26.1037i | −1.38700 | + | 1.56560i | ||||
\(279\) | 0.696918 | + | 4.28831i | 0.0417234 | + | 0.256734i | ||||
\(280\) | 0.997433 | − | 12.3554i | 0.0596080 | − | 0.738378i | ||||
\(281\) | −0.845917 | − | 3.43202i | −0.0504632 | − | 0.204737i | 0.940299 | − | 0.340350i | \(-0.110546\pi\) |
−0.990762 | + | 0.135613i | \(0.956700\pi\) | |||||||
\(282\) | 6.34164 | + | 21.8939i | 0.377639 | + | 1.30376i | ||||
\(283\) | 3.75961 | + | 18.4158i | 0.223486 | + | 1.09470i | 0.924390 | + | 0.381449i | \(0.124575\pi\) |
−0.700904 | + | 0.713256i | \(0.747220\pi\) | |||||||
\(284\) | −12.4481 | + | 10.1636i | −0.738661 | + | 0.603098i | ||||
\(285\) | −0.290343 | + | 2.39119i | −0.0171984 | + | 0.141642i | ||||
\(286\) | −3.51758 | + | 18.6927i | −0.207999 | + | 1.10532i | ||||
\(287\) | −0.750854 | − | 6.18384i | −0.0443215 | − | 0.365021i | ||||
\(288\) | 4.22354 | + | 4.05676i | 0.248874 | + | 0.239047i | ||||
\(289\) | 2.81504 | − | 2.93076i | 0.165590 | − | 0.172398i | ||||
\(290\) | −3.11703 | + | 6.56900i | −0.183038 | + | 0.385745i | ||||
\(291\) | −6.26993 | + | 4.32782i | −0.367550 | + | 0.253701i | ||||
\(292\) | −7.01414 | + | 11.0920i | −0.410472 | + | 0.649109i | ||||
\(293\) | −1.98158 | − | 2.63701i | −0.115765 | − | 0.154055i | 0.737841 | − | 0.674975i | \(-0.235846\pi\) |
−0.853606 | + | 0.520919i | \(0.825589\pi\) | |||||||
\(294\) | −3.94430 | − | 7.51524i | −0.230036 | − | 0.438297i | ||||
\(295\) | 2.30843 | − | 11.3074i | 0.134402 | − | 0.658344i | ||||
\(296\) | −32.5940 | + | 2.63126i | −1.89449 | + | 0.152939i | ||||
\(297\) | 2.22290 | + | 0.643870i | 0.128985 | + | 0.0373611i | ||||
\(298\) | 44.0566 | + | 23.1227i | 2.55213 | + | 1.33946i | ||||
\(299\) | 27.2379 | − | 9.56139i | 1.57521 | − | 0.552950i | ||||
\(300\) | 8.69669 | − | 4.56437i | 0.502104 | − | 0.263524i | ||||
\(301\) | 4.56583 | − | 0.932121i | 0.263170 | − | 0.0537266i | ||||
\(302\) | −41.6442 | − | 31.2936i | −2.39635 | − | 1.80074i | ||||
\(303\) | −0.191805 | − | 4.75960i | −0.0110189 | − | 0.273432i | ||||
\(304\) | 0.286577 | − | 0.108684i | 0.0164363 | − | 0.00623347i | ||||
\(305\) | −8.43324 | + | 2.44272i | −0.482886 | + | 0.139870i | ||||
\(306\) | −10.2505 | − | 2.09265i | −0.585981 | − | 0.119629i | ||||
\(307\) | −13.0137 | − | 14.6894i | −0.742728 | − | 0.838367i | 0.248760 | − | 0.968565i | \(-0.419977\pi\) |
−0.991488 | + | 0.130198i | \(0.958439\pi\) | |||||||
\(308\) | −15.3193 | + | 18.7627i | −0.872895 | + | 1.06910i | ||||
\(309\) | −0.419056 | + | 10.3988i | −0.0238393 | + | 0.591565i | ||||
\(310\) | 4.35356 | + | 13.0405i | 0.247266 | + | 0.740651i | ||||
\(311\) | 5.24128 | − | 4.64337i | 0.297206 | − | 0.263301i | −0.501320 | − | 0.865262i | \(-0.667152\pi\) |
0.798526 | + | 0.601961i | \(0.205614\pi\) | |||||||
\(312\) | −8.81650 | + | 4.35085i | −0.499136 | + | 0.246318i | ||||
\(313\) | 13.8266 | + | 12.2493i | 0.781525 | + | 0.692371i | 0.956348 | − | 0.292229i | \(-0.0943970\pi\) |
−0.174823 | + | 0.984600i | \(0.555935\pi\) | |||||||
\(314\) | −8.27228 | + | 19.4157i | −0.466832 | + | 1.09569i | ||||
\(315\) | −2.27293 | + | 3.93682i | −0.128065 | + | 0.221815i | ||||
\(316\) | 17.0772 | + | 29.5786i | 0.960669 | + | 1.66393i | ||||
\(317\) | 10.9862 | − | 1.33397i | 0.617046 | − | 0.0749230i | 0.193955 | − | 0.981010i | \(-0.437868\pi\) |
0.423091 | + | 0.906087i | \(0.360945\pi\) | |||||||
\(318\) | −10.1181 | − | 4.80109i | −0.567394 | − | 0.269232i | ||||
\(319\) | 4.60517 | − | 2.65879i | 0.257840 | − | 0.148864i | ||||
\(320\) | 14.8476 | + | 10.2486i | 0.830007 | + | 0.572912i | ||||
\(321\) | −5.72088 | + | 2.43744i | −0.319308 | + | 0.136045i | ||||
\(322\) | 58.9906 | + | 9.58690i | 3.28742 | + | 0.534257i | ||||
\(323\) | −4.78407 | + | 6.36644i | −0.266193 | + | 0.354238i | ||||
\(324\) | 1.13339 | + | 2.98851i | 0.0629663 | + | 0.166029i | ||||
\(325\) | −1.50449 | − | 10.9769i | −0.0834541 | − | 0.608891i | ||||
\(326\) | −7.19476 | + | 18.9710i | −0.398481 | + | 1.05071i | ||||
\(327\) | −0.381271 | − | 0.602932i | −0.0210843 | − | 0.0333422i | ||||
\(328\) | −4.77203 | − | 2.03317i | −0.263491 | − | 0.112263i | ||||
\(329\) | 27.6753 | + | 17.5008i | 1.52579 | + | 0.964852i | ||||
\(330\) | 7.26991 | + | 0.882727i | 0.400196 | + | 0.0485925i | ||||
\(331\) | −1.65668 | − | 3.88837i | −0.0910594 | − | 0.213724i | 0.868222 | − | 0.496175i | \(-0.165263\pi\) |
−0.959282 | + | 0.282451i | \(0.908852\pi\) | |||||||
\(332\) | 4.08552 | − | 12.2376i | 0.224222 | − | 0.671626i | ||||
\(333\) | 11.2128 | + | 4.25246i | 0.614459 | + | 0.233033i | ||||
\(334\) | 11.1052 | + | 0.896502i | 0.607648 | + | 0.0490544i | ||||
\(335\) | −5.83465 | + | 20.1435i | −0.318781 | + | 1.10056i | ||||
\(336\) | 0.577953 | + | 0.0232907i | 0.0315299 | + | 0.00127061i | ||||
\(337\) | 14.6936 | 0.800413 | 0.400206 | − | 0.916425i | \(-0.368938\pi\) | ||||
0.400206 | + | 0.916425i | \(0.368938\pi\) | |||||||
\(338\) | 3.29184 | + | 29.4504i | 0.179052 | + | 1.60189i | ||||
\(339\) | 10.4580 | 0.567998 | ||||||||
\(340\) | −20.3471 | − | 0.819958i | −1.10347 | − | 0.0444685i | ||||
\(341\) | 2.79734 | − | 9.65752i | 0.151484 | − | 0.522984i | ||||
\(342\) | 3.94253 | + | 0.318274i | 0.213188 | + | 0.0172103i | ||||
\(343\) | 10.0327 | + | 3.80489i | 0.541713 | + | 0.205445i | ||||
\(344\) | 1.22879 | − | 3.68069i | 0.0662521 | − | 0.198449i | ||||
\(345\) | −4.35646 | − | 10.2250i | −0.234544 | − | 0.550495i | ||||
\(346\) | −35.3594 | − | 4.29341i | −1.90093 | − | 0.230815i | ||||
\(347\) | −11.0415 | − | 6.98223i | −0.592739 | − | 0.374826i | 0.204160 | − | 0.978937i | \(-0.434554\pi\) |
−0.796900 | + | 0.604112i | \(0.793528\pi\) | |||||||
\(348\) | 6.75640 | + | 2.87863i | 0.362181 | + | 0.154311i | ||||
\(349\) | 9.89637 | + | 15.6499i | 0.529741 | + | 0.837718i | 0.998971 | − | 0.0453581i | \(-0.0144429\pi\) |
−0.469230 | + | 0.883076i | \(0.655469\pi\) | |||||||
\(350\) | 8.13400 | − | 21.4476i | 0.434780 | − | 1.14642i | ||||
\(351\) | 3.60512 | − | 0.0554512i | 0.192427 | − | 0.00295976i | ||||
\(352\) | −4.80593 | − | 12.6722i | −0.256157 | − | 0.675430i | ||||
\(353\) | −4.58558 | + | 6.10230i | −0.244066 | + | 0.324792i | −0.904808 | − | 0.425821i | \(-0.859985\pi\) |
0.660742 | + | 0.750613i | \(0.270242\pi\) | |||||||
\(354\) | −18.7052 | − | 3.03990i | −0.994172 | − | 0.161569i | ||||
\(355\) | 6.42120 | − | 2.73582i | 0.340802 | − | 0.145202i | ||||
\(356\) | −2.17189 | − | 1.49915i | −0.115110 | − | 0.0794545i | ||||
\(357\) | −13.0156 | + | 7.51454i | −0.688857 | + | 0.397712i | ||||
\(358\) | −7.46573 | − | 3.54253i | −0.394576 | − | 0.187229i | ||||
\(359\) | −0.198152 | + | 0.0240600i | −0.0104581 | + | 0.00126984i | −0.125764 | − | 0.992060i | \(-0.540138\pi\) |
0.115306 | + | 0.993330i | \(0.463215\pi\) | |||||||
\(360\) | 1.89266 | + | 3.27819i | 0.0997521 | + | 0.172776i | ||||
\(361\) | −7.99459 | + | 13.8470i | −0.420768 | + | 0.728792i | ||||
\(362\) | 10.1784 | − | 23.8896i | 0.534966 | − | 1.25561i | ||||
\(363\) | 4.22472 | + | 3.74277i | 0.221740 | + | 0.196445i | ||||
\(364\) | −14.2561 | + | 34.9411i | −0.747225 | + | 1.83141i | ||||
\(365\) | 4.26645 | − | 3.77975i | 0.223316 | − | 0.197841i | ||||
\(366\) | 4.56548 | + | 13.6753i | 0.238641 | + | 0.714818i | ||||
\(367\) | 0.00885907 | − | 0.219836i | 0.000462440 | − | 0.0114753i | −0.998941 | − | 0.0460029i | \(-0.985352\pi\) |
0.999404 | + | 0.0345276i | \(0.0109927\pi\) | |||||||
\(368\) | −0.894413 | + | 1.09546i | −0.0466245 | + | 0.0571047i | ||||
\(369\) | 1.26144 | + | 1.42387i | 0.0656678 | + | 0.0741236i | ||||
\(370\) | 37.1811 | + | 7.59058i | 1.93296 | + | 0.394616i | ||||
\(371\) | −15.4533 | + | 4.47610i | −0.802294 | + | 0.232387i | ||||
\(372\) | 12.9838 | − | 4.92411i | 0.673179 | − | 0.255303i | ||||
\(373\) | 0.276375 | + | 6.85817i | 0.0143101 | + | 0.355102i | 0.990443 | + | 0.137926i | \(0.0440436\pi\) |
−0.976132 | + | 0.217176i | \(0.930315\pi\) | |||||||
\(374\) | 19.3558 | + | 14.5450i | 1.00087 | + | 0.752103i | ||||
\(375\) | −10.9803 | + | 2.24164i | −0.567020 | + | 0.115758i | ||||
\(376\) | 24.1431 | − | 12.6713i | 1.24509 | − | 0.653472i | ||||
\(377\) | 5.64639 | − | 6.06245i | 0.290804 | − | 0.312232i | ||||
\(378\) | 6.60960 | + | 3.46899i | 0.339961 | + | 0.178426i | ||||
\(379\) | −13.3768 | − | 3.87465i | −0.687122 | − | 0.199027i | −0.0837497 | − | 0.996487i | \(-0.526690\pi\) |
−0.603373 | + | 0.797459i | \(0.706177\pi\) | |||||||
\(380\) | 7.67392 | − | 0.619503i | 0.393664 | − | 0.0317798i | ||||
\(381\) | 1.22527 | − | 6.00175i | 0.0627723 | − | 0.307479i | ||||
\(382\) | −17.7562 | − | 33.8317i | −0.908488 | − | 1.73098i | ||||
\(383\) | 5.36609 | + | 7.14096i | 0.274194 | + | 0.364886i | 0.915444 | − | 0.402446i | \(-0.131840\pi\) |
−0.641249 | + | 0.767333i | \(0.721584\pi\) | |||||||
\(384\) | 9.57363 | − | 15.1395i | 0.488552 | − | 0.772584i | ||||
\(385\) | 8.65805 | − | 5.97622i | 0.441255 | − | 0.304576i | ||||
\(386\) | −25.7950 | + | 54.3618i | −1.31293 | + | 2.76694i | ||||
\(387\) | −0.985785 | + | 1.02631i | −0.0501103 | + | 0.0521703i | ||||
\(388\) | 17.5616 | + | 16.8682i | 0.891556 | + | 0.856351i | ||||
\(389\) | −0.748376 | − | 6.16343i | −0.0379442 | − | 0.312498i | −0.999307 | − | 0.0372150i | \(-0.988151\pi\) |
0.961363 | − | 0.275283i | \(-0.0887717\pi\) | |||||||
\(390\) | 11.2322 | − | 2.00319i | 0.568767 | − | 0.101435i | ||||
\(391\) | 4.42916 | − | 36.4774i | 0.223992 | − | 1.84474i | ||||
\(392\) | −7.86440 | + | 6.42108i | −0.397212 | + | 0.324314i | ||||
\(393\) | 3.57125 | + | 17.4932i | 0.180146 | + | 0.882413i | ||||
\(394\) | 11.1955 | + | 38.6514i | 0.564022 | + | 1.94723i | ||||
\(395\) | −3.55004 | − | 14.4031i | −0.178622 | − | 0.724697i | ||||
\(396\) | 0.595203 | − | 7.37291i | 0.0299101 | − | 0.370503i | ||||
\(397\) | 5.30179 | + | 32.6232i | 0.266089 | + | 1.63731i | 0.684470 | + | 0.729041i | \(0.260034\pi\) |
−0.418380 | + | 0.908272i | \(0.637402\pi\) | |||||||
\(398\) | −25.4328 | + | 28.7077i | −1.27483 | + | 1.43899i | ||||
\(399\) | 4.54249 | − | 3.41346i | 0.227409 | − | 0.170887i | ||||
\(400\) | 0.343284 | + | 0.420447i | 0.0171642 | + | 0.0210224i | ||||
\(401\) | 1.90513 | − | 11.7227i | 0.0951374 | − | 0.585404i | −0.895084 | − | 0.445898i | \(-0.852884\pi\) |
0.990221 | − | 0.139506i | \(-0.0445515\pi\) | |||||||
\(402\) | 33.4362 | + | 8.24128i | 1.66765 | + | 0.411038i | ||||
\(403\) | −0.240911 | − | 15.6627i | −0.0120007 | − | 0.780215i | ||||
\(404\) | −14.7827 | + | 3.64360i | −0.735464 | + | 0.181276i | ||||
\(405\) | −0.111703 | − | 1.38369i | −0.00555058 | − | 0.0687562i | ||||
\(406\) | 16.2691 | − | 5.43143i | 0.807422 | − | 0.269557i | ||||
\(407\) | −19.2251 | − | 20.0155i | −0.952955 | − | 0.992131i | ||||
\(408\) | 12.5147i | 0.619570i | ||||||||
\(409\) | 13.2483 | − | 12.7251i | 0.655085 | − | 0.629218i | −0.289619 | − | 0.957142i | \(-0.593529\pi\) |
0.944704 | + | 0.327924i | \(0.106349\pi\) | |||||||
\(410\) | 4.66279 | + | 3.80705i | 0.230279 | + | 0.188017i | ||||
\(411\) | 6.15184 | − | 11.7214i | 0.303448 | − | 0.578172i | ||||
\(412\) | 32.8329 | − | 5.33587i | 1.61756 | − | 0.262879i | ||||
\(413\) | −23.0091 | + | 14.5501i | −1.13220 | + | 0.715963i | ||||
\(414\) | −16.4886 | + | 7.82392i | −0.810369 | + | 0.384525i | ||||
\(415\) | −3.18313 | + | 4.61156i | −0.156254 | + | 0.226373i | ||||
\(416\) | −12.9428 | − | 16.6831i | −0.634572 | − | 0.817959i | ||||
\(417\) | −8.69078 | − | 12.5908i | −0.425589 | − | 0.616572i | ||||
\(418\) | −7.92738 | − | 4.57687i | −0.387741 | − | 0.223862i | ||||
\(419\) | 5.46150 | + | 11.5099i | 0.266812 | + | 0.562294i | 0.991997 | − | 0.126260i | \(-0.0402972\pi\) |
−0.725185 | + | 0.688554i | \(0.758246\pi\) | |||||||
\(420\) | 13.7818 | + | 4.60103i | 0.672482 | + | 0.224507i | ||||
\(421\) | −0.761052 | + | 3.08771i | −0.0370914 | + | 0.150486i | −0.986568 | − | 0.163353i | \(-0.947769\pi\) |
0.949476 | + | 0.313839i | \(0.101615\pi\) | |||||||
\(422\) | 7.20343 | − | 0.290288i | 0.350657 | − | 0.0141310i | ||||
\(423\) | −9.99129 | + | 0.402635i | −0.485793 | + | 0.0195768i | ||||
\(424\) | −3.20608 | + | 13.0076i | −0.155701 | + | 0.631704i | ||||
\(425\) | −13.3774 | − | 4.46604i | −0.648900 | − | 0.216635i | ||||
\(426\) | −4.91335 | − | 10.3547i | −0.238053 | − | 0.501685i | ||||
\(427\) | 17.9364 | + | 10.3556i | 0.868001 | + | 0.501141i | ||||
\(428\) | 11.2906 | + | 16.3573i | 0.545754 | + | 0.790661i | ||||
\(429\) | −7.59270 | − | 3.46074i | −0.366579 | − | 0.167086i | ||||
\(430\) | −2.55808 | + | 3.70601i | −0.123361 | + | 0.178720i | ||||
\(431\) | −10.2175 | + | 4.84825i | −0.492158 | + | 0.233532i | −0.658563 | − | 0.752526i | \(-0.728835\pi\) |
0.166405 | + | 0.986057i | \(0.446784\pi\) | |||||||
\(432\) | −0.149291 | + | 0.0944061i | −0.00718278 | + | 0.00454212i | ||||
\(433\) | −29.1409 | + | 4.73586i | −1.40042 | + | 0.227591i | −0.813270 | − | 0.581886i | \(-0.802315\pi\) |
−0.587152 | + | 0.809477i | \(0.699751\pi\) | |||||||
\(434\) | 15.0713 | − | 28.7159i | 0.723443 | − | 1.37841i | ||||
\(435\) | −2.47077 | − | 2.01732i | −0.118464 | − | 0.0967230i | ||||
\(436\) | −1.64440 | + | 1.57947i | −0.0787524 | + | 0.0756427i | ||||
\(437\) | 13.8924i | 0.664563i | ||||||||
\(438\) | −6.48370 | − | 6.75024i | −0.309803 | − | 0.322539i | ||||
\(439\) | 7.72521 | − | 2.57905i | 0.368704 | − | 0.123091i | −0.126278 | − | 0.991995i | \(-0.540303\pi\) |
0.494982 | + | 0.868903i | \(0.335175\pi\) | |||||||
\(440\) | −0.704908 | − | 8.73185i | −0.0336052 | − | 0.416275i | ||||
\(441\) | 3.61514 | − | 0.891052i | 0.172150 | − | 0.0424311i | ||||
\(442\) | 35.4713 | + | 12.8320i | 1.68720 | + | 0.610357i | ||||
\(443\) | −3.05643 | − | 0.753342i | −0.145215 | − | 0.0357923i | 0.166038 | − | 0.986119i | \(-0.446903\pi\) |
−0.311253 | + | 0.950327i | \(0.600749\pi\) | |||||||
\(444\) | 6.14846 | − | 37.8330i | 0.291793 | − | 1.79548i | ||||
\(445\) | 0.724908 | + | 0.887851i | 0.0343639 | + | 0.0420882i | ||||
\(446\) | −13.4643 | + | 10.1177i | −0.637552 | + | 0.479089i | ||||
\(447\) | −14.4742 | + | 16.3380i | −0.684606 | + | 0.772761i | ||||
\(448\) | −6.82676 | − | 42.0068i | −0.322534 | − | 1.98463i | ||||
\(449\) | 1.49510 | − | 18.5202i | 0.0705582 | − | 0.874021i | −0.860571 | − | 0.509331i | \(-0.829893\pi\) |
0.931129 | − | 0.364690i | \(-0.118825\pi\) | |||||||
\(450\) | 1.67635 | + | 6.80123i | 0.0790241 | + | 0.320613i | ||||
\(451\) | −1.22481 | − | 4.22854i | −0.0576742 | − | 0.199114i | ||||
\(452\) | −6.68603 | − | 32.7504i | −0.314485 | − | 1.54045i | ||||
\(453\) | 17.7012 | − | 14.4526i | 0.831677 | − | 0.679043i | ||||
\(454\) | 6.23143 | − | 51.3204i | 0.292456 | − | 2.40859i | ||||
\(455\) | 10.1695 | − | 12.8539i | 0.476753 | − | 0.602601i | ||||
\(456\) | −0.570314 | − | 4.69696i | −0.0267074 | − | 0.219955i | ||||
\(457\) | −20.7332 | − | 19.9145i | −0.969859 | − | 0.931562i | 0.0278230 | − | 0.999613i | \(-0.491143\pi\) |
−0.997682 | + | 0.0680508i | \(0.978322\pi\) | |||||||
\(458\) | −39.4333 | + | 41.0544i | −1.84260 | + | 1.91835i | ||||
\(459\) | 1.96749 | − | 4.14641i | 0.0918348 | − | 0.193538i | ||||
\(460\) | −29.2356 | + | 20.1799i | −1.36312 | + | 0.940893i | ||||
\(461\) | −8.08885 | + | 12.7915i | −0.376735 | + | 0.595759i | −0.979325 | − | 0.202292i | \(-0.935161\pi\) |
0.602590 | + | 0.798051i | \(0.294135\pi\) | |||||||
\(462\) | −10.3779 | − | 13.8105i | −0.482824 | − | 0.642523i | ||||
\(463\) | −6.95936 | − | 13.2600i | −0.323429 | − | 0.616242i | 0.668402 | − | 0.743800i | \(-0.266978\pi\) |
−0.991831 | + | 0.127558i | \(0.959286\pi\) | |||||||
\(464\) | −0.0811834 | + | 0.397663i | −0.00376884 | + | 0.0184610i | ||||
\(465\) | −6.01155 | + | 0.485302i | −0.278779 | + | 0.0225054i | ||||
\(466\) | −54.0800 | − | 15.6645i | −2.50521 | − | 0.725642i | ||||
\(467\) | −25.0186 | − | 13.1308i | −1.15772 | − | 0.607619i | −0.227197 | − | 0.973849i | \(-0.572956\pi\) |
−0.930524 | + | 0.366230i | \(0.880648\pi\) | |||||||
\(468\) | −2.47850 | − | 11.2544i | −0.114569 | − | 0.520237i | ||||
\(469\) | 43.8038 | − | 22.9900i | 2.02267 | − | 1.06158i | ||||
\(470\) | −31.0028 | + | 6.32927i | −1.43005 | + | 0.291947i | ||||
\(471\) | −7.40150 | − | 5.56187i | −0.341043 | − | 0.256277i | ||||
\(472\) | 0.912791 | + | 22.6507i | 0.0420146 | + | 1.04258i | ||||
\(473\) | 3.07932 | − | 1.16783i | 0.141587 | − | 0.0536969i | ||||
\(474\) | −23.3970 | + | 6.77703i | −1.07466 | + | 0.311279i | ||||
\(475\) | 5.22427 | + | 1.06654i | 0.239706 | + | 0.0489364i | ||||
\(476\) | 31.8539 | + | 35.9556i | 1.46002 | + | 1.64802i | ||||
\(477\) | 3.10723 | − | 3.80566i | 0.142270 | − | 0.174249i | ||||
\(478\) | 0.599036 | − | 14.8649i | 0.0273993 | − | 0.679906i | ||||
\(479\) | 0.299579 | + | 0.897350i | 0.0136881 | + | 0.0410010i | 0.955159 | − | 0.296094i | \(-0.0956840\pi\) |
−0.941471 | + | 0.337095i | \(0.890556\pi\) | |||||||
\(480\) | −6.08510 | + | 5.39092i | −0.277745 | + | 0.246061i | ||||
\(481\) | −37.7734 | − | 21.0406i | −1.72232 | − | 0.959371i | ||||
\(482\) | 7.31381 | + | 6.47947i | 0.333135 | + | 0.295132i | ||||
\(483\) | −10.2766 | + | 24.1200i | −0.467601 | + | 1.09750i | ||||
\(484\) | 9.01999 | − | 15.6231i | 0.409999 | − | 0.710140i | ||||
\(485\) | −5.28800 | − | 9.15909i | −0.240116 | − | 0.415893i | ||||
\(486\) | −2.26290 | + | 0.274766i | −0.102647 | + | 0.0124636i | ||||
\(487\) | 8.67589 | + | 4.11676i | 0.393142 | + | 0.186548i | 0.614993 | − | 0.788532i | \(-0.289159\pi\) |
−0.221851 | + | 0.975081i | \(0.571210\pi\) | |||||||
\(488\) | 14.9356 | − | 8.62307i | 0.676102 | − | 0.390348i | ||||
\(489\) | −7.32520 | − | 5.05622i | −0.331257 | − | 0.228650i | ||||
\(490\) | 10.8394 | − | 4.61822i | 0.489673 | − | 0.208630i | ||||
\(491\) | 40.3511 | + | 6.55769i | 1.82102 | + | 0.295945i | 0.972445 | − | 0.233131i | \(-0.0748970\pi\) |
0.848575 | + | 0.529075i | \(0.177461\pi\) | |||||||
\(492\) | 3.65255 | − | 4.86066i | 0.164670 | − | 0.219135i | ||||
\(493\) | −3.73950 | − | 9.86025i | −0.168419 | − | 0.444083i | ||||
\(494\) | −13.8977 | − | 3.19958i | −0.625286 | − | 0.143956i | ||||
\(495\) | −1.13922 | + | 3.00388i | −0.0512042 | + | 0.135014i | ||||
\(496\) | 0.410154 | + | 0.648606i | 0.0184165 | + | 0.0291233i | ||||
\(497\) | −15.1472 | − | 6.45360i | −0.679443 | − | 0.289484i | ||||
\(498\) | 7.77687 | + | 4.91779i | 0.348490 | + | 0.220372i | ||||
\(499\) | 20.3633 | + | 2.47256i | 0.911588 | + | 0.110687i | 0.562874 | − | 0.826542i | \(-0.309695\pi\) |
0.348714 | + | 0.937229i | \(0.386619\pi\) | |||||||
\(500\) | 14.0400 | + | 32.9530i | 0.627886 | + | 1.47370i | ||||
\(501\) | −1.54773 | + | 4.63603i | −0.0691476 | + | 0.207122i | ||||
\(502\) | 1.85373 | + | 0.703028i | 0.0827362 | + | 0.0313777i | ||||
\(503\) | 40.1592 | + | 3.24199i | 1.79061 | + | 0.144553i | 0.930674 | − | 0.365848i | \(-0.119221\pi\) |
0.859936 | + | 0.510401i | \(0.170503\pi\) | |||||||
\(504\) | 2.48429 | − | 8.57677i | 0.110659 | − | 0.382040i | ||||
\(505\) | 6.60725 | + | 0.266263i | 0.294019 | + | 0.0118486i | ||||
\(506\) | 42.2369 | 1.87766 | ||||||||
\(507\) | −12.8897 | − | 1.68972i | −0.572452 | − | 0.0750431i | ||||
\(508\) | −19.5785 | −0.868658 | ||||||||
\(509\) | −40.3902 | − | 1.62767i | −1.79026 | − | 0.0721452i | −0.877240 | − | 0.480052i | \(-0.840618\pi\) |
−0.913024 | + | 0.407907i | \(0.866259\pi\) | |||||||
\(510\) | 4.04060 | − | 13.9498i | 0.178921 | − | 0.617706i | ||||
\(511\) | −13.4021 | − | 1.08193i | −0.592874 | − | 0.0478617i | ||||
\(512\) | 1.86791 | + | 0.708405i | 0.0825507 | + | 0.0313074i | ||||
\(513\) | −0.549473 | + | 1.64587i | −0.0242598 | + | 0.0726670i | ||||
\(514\) | 9.23350 | + | 21.6718i | 0.407272 | + | 0.955903i | ||||
\(515\) | −14.3419 | − | 1.74142i | −0.631979 | − | 0.0767361i | ||||
\(516\) | 3.84426 | + | 2.43096i | 0.169234 | + | 0.107017i | ||||
\(517\) | 21.2895 | + | 9.07061i | 0.936311 | + | 0.398925i | ||||
\(518\) | −47.8436 | − | 75.6586i | −2.10213 | − | 3.32425i | ||||
\(519\) | 5.54095 | − | 14.6103i | 0.243221 | − | 0.641321i | ||||
\(520\) | −5.03540 | − | 12.6853i | −0.220817 | − | 0.556289i | ||||
\(521\) | −12.3067 | − | 32.4502i | −0.539168 | − | 1.42167i | −0.877013 | − | 0.480467i | \(-0.840467\pi\) |
0.337845 | − | 0.941202i | \(-0.390302\pi\) | |||||||
\(522\) | −3.14654 | + | 4.18728i | −0.137720 | + | 0.183272i | ||||
\(523\) | −10.5151 | − | 1.70887i | −0.459794 | − | 0.0747238i | −0.0738973 | − | 0.997266i | \(-0.523544\pi\) |
−0.385896 | + | 0.922542i | \(0.626108\pi\) | |||||||
\(524\) | 52.4988 | − | 22.3676i | 2.29342 | − | 0.977135i | ||||
\(525\) | 8.28146 | + | 5.71628i | 0.361433 | + | 0.249479i | ||||
\(526\) | −38.2649 | + | 22.0922i | −1.66843 | + | 0.963268i | ||||
\(527\) | −18.0143 | − | 8.54791i | −0.784717 | − | 0.372353i | ||||
\(528\) | 0.405803 | − | 0.0492735i | 0.0176603 | − | 0.00214435i | ||||
\(529\) | −20.5509 | − | 35.5952i | −0.893516 | − | 1.54762i | ||||
\(530\) | 7.77345 | − | 13.4640i | 0.337657 | − | 0.584839i | ||||
\(531\) | 3.25859 | − | 7.64819i | 0.141411 | − | 0.331903i | ||||
\(532\) | −13.5938 | − | 12.0431i | −0.589366 | − | 0.522133i | ||||
\(533\) | −3.75447 | − | 5.73986i | −0.162624 | − | 0.248621i | ||||
\(534\) | 1.40881 | − | 1.24809i | 0.0609650 | − | 0.0540103i | ||||
\(535\) | −2.73362 | − | 8.18821i | −0.118185 | − | 0.354007i | ||||
\(536\) | 1.65871 | − | 41.1605i | 0.0716455 | − | 1.77786i | ||||
\(537\) | 2.29270 | − | 2.80805i | 0.0989374 | − | 0.121176i | ||||
\(538\) | 1.27268 | + | 1.43656i | 0.0548693 | + | 0.0619346i | ||||
\(539\) | −8.44265 | − | 1.72358i | −0.363651 | − | 0.0742398i | ||||
\(540\) | −4.26179 | + | 1.23444i | −0.183398 | + | 0.0531219i | ||||
\(541\) | 23.1306 | − | 8.77229i | 0.994463 | − | 0.377150i | 0.196925 | − | 0.980419i | \(-0.436904\pi\) |
0.797538 | + | 0.603268i | \(0.206135\pi\) | |||||||
\(542\) | −1.01880 | − | 25.2813i | −0.0437612 | − | 1.08592i | ||||
\(543\) | 9.10699 | + | 6.84346i | 0.390818 | + | 0.293681i | ||||
\(544\) | −26.3342 | + | 5.37616i | −1.12907 | + | 0.230501i | ||||
\(545\) | 0.876861 | − | 0.460212i | 0.0375606 | − | 0.0197133i | ||||
\(546\) | −21.7624 | − | 15.8356i | −0.931345 | − | 0.677702i | ||||
\(547\) | −20.8703 | − | 10.9536i | −0.892349 | − | 0.468341i | −0.0447619 | − | 0.998998i | \(-0.514253\pi\) |
−0.847587 | + | 0.530657i | \(0.821945\pi\) | |||||||
\(548\) | −40.6399 | − | 11.7715i | −1.73605 | − | 0.502853i | ||||
\(549\) | −6.30417 | + | 0.508925i | −0.269055 | + | 0.0217204i | ||||
\(550\) | 3.24260 | − | 15.8833i | 0.138265 | − | 0.677267i | ||||
\(551\) | 1.85284 | + | 3.53029i | 0.0789335 | + | 0.150395i | ||||
\(552\) | 13.1152 | + | 17.4532i | 0.558222 | + | 0.742858i | ||||
\(553\) | −18.7024 | + | 29.5754i | −0.795305 | + | 1.25767i | ||||
\(554\) | 44.6995 | − | 30.8538i | 1.89910 | − | 1.31085i | ||||
\(555\) | −7.13661 | + | 15.0401i | −0.302932 | + | 0.638416i | ||||
\(556\) | −33.8733 | + | 35.2658i | −1.43655 | + | 1.49560i | ||||
\(557\) | 29.7846 | + | 28.6085i | 1.26201 | + | 1.21218i | 0.966449 | + | 0.256859i | \(0.0826876\pi\) |
0.295566 | + | 0.955322i | \(0.404492\pi\) | |||||||
\(558\) | 1.19374 | + | 9.83133i | 0.0505350 | + | 0.416193i | ||||
\(559\) | 4.05397 | − | 3.14507i | 0.171465 | − | 0.133022i | ||||
\(560\) | −0.0967865 | + | 0.797108i | −0.00408997 | + | 0.0336840i | ||||
\(561\) | −8.22738 | + | 6.71744i | −0.347360 | + | 0.283611i | ||||
\(562\) | −1.61171 | − | 7.89466i | −0.0679858 | − | 0.333016i | ||||
\(563\) | −10.2066 | − | 35.2374i | −0.430158 | − | 1.48508i | −0.824366 | − | 0.566058i | \(-0.808468\pi\) |
0.394207 | − | 0.919022i | \(-0.371019\pi\) | |||||||
\(564\) | 7.64858 | + | 31.0315i | 0.322063 | + | 1.30666i | ||||
\(565\) | −1.16819 | + | 14.4706i | −0.0491460 | + | 0.608782i | ||||
\(566\) | 6.87283 | + | 42.2902i | 0.288887 | + | 1.77759i | ||||
\(567\) | −2.17149 | + | 2.45111i | −0.0911942 | + | 0.102937i | ||||
\(568\) | −10.9605 | + | 8.23625i | −0.459890 | + | 0.345585i | ||||
\(569\) | −24.0828 | − | 29.4961i | −1.00960 | − | 1.23654i | −0.971444 | − | 0.237269i | \(-0.923748\pi\) |
−0.0381606 | − | 0.999272i | \(-0.512150\pi\) | |||||||
\(570\) | −0.880786 | + | 5.41970i | −0.0368921 | + | 0.227006i | ||||
\(571\) | −21.8187 | − | 5.37782i | −0.913083 | − | 0.225055i | −0.245332 | − | 0.969439i | \(-0.578897\pi\) |
−0.667751 | + | 0.744385i | \(0.732743\pi\) | |||||||
\(572\) | −5.98352 | + | 25.9900i | −0.250184 | + | 1.08670i | ||||
\(573\) | 16.2744 | − | 4.01129i | 0.679875 | − | 0.167574i | ||||
\(574\) | −1.14260 | − | 14.1537i | −0.0476913 | − | 0.590763i | ||||
\(575\) | −23.3367 | + | 7.79094i | −0.973208 | + | 0.324905i | ||||
\(576\) | 9.00276 | + | 9.37286i | 0.375115 | + | 0.390536i | ||||
\(577\) | 4.49284i | 0.187040i | 0.995617 | + | 0.0935198i | \(0.0298118\pi\) | ||||
−0.995617 | + | 0.0935198i | \(0.970188\pi\) | |||||||
\(578\) | 6.68074 | − | 6.41694i | 0.277882 | − | 0.266909i | ||||
\(579\) | −20.4468 | − | 16.6943i | −0.849742 | − | 0.693792i | ||||
\(580\) | −4.73785 | + | 9.02723i | −0.196729 | + | 0.374835i | ||||
\(581\) | 13.0470 | − | 2.12034i | 0.541281 | − | 0.0879667i | ||||
\(582\) | −14.6781 | + | 9.28186i | −0.608426 | + | 0.384745i | ||||
\(583\) | −10.2723 | + | 4.87427i | −0.425436 | + | 0.201872i | ||||
\(584\) | −6.36018 | + | 9.21431i | −0.263186 | + | 0.381291i | ||||
\(585\) | −0.325977 | + | 4.99458i | −0.0134775 | + | 0.206500i | ||||
\(586\) | −4.27135 | − | 6.18812i | −0.176448 | − | 0.255629i | ||||
\(587\) | 34.7683 | + | 20.0735i | 1.43504 | + | 0.828522i | 0.997499 | − | 0.0706759i | \(-0.0225156\pi\) |
0.437543 | + | 0.899198i | \(0.355849\pi\) | |||||||
\(588\) | −5.10169 | − | 10.7516i | −0.210390 | − | 0.443388i | ||||
\(589\) | 7.15060 | + | 2.38722i | 0.294635 | + | 0.0983637i | ||||
\(590\) | 6.29572 | − | 25.5427i | 0.259191 | − | 1.05158i | ||||
\(591\) | −17.6386 | + | 0.710811i | −0.725555 | + | 0.0292389i | ||||
\(592\) | 2.11653 | − | 0.0852931i | 0.0869887 | − | 0.00350552i | ||||
\(593\) | 8.23712 | − | 33.4193i | 0.338258 | − | 1.37237i | −0.517807 | − | 0.855498i | \(-0.673251\pi\) |
0.856065 | − | 0.516869i | \(-0.172902\pi\) | |||||||
\(594\) | 5.00393 | + | 1.67056i | 0.205314 | + | 0.0685438i | ||||
\(595\) | −8.94393 | − | 18.8489i | −0.366666 | − | 0.772731i | ||||
\(596\) | 60.4182 | + | 34.8824i | 2.47482 | + | 1.42884i | ||||
\(597\) | −9.55773 | − | 13.8468i | −0.391172 | − | 0.566710i | ||||
\(598\) | 62.9166 | − | 19.2776i | 2.57285 | − | 0.788321i | ||||
\(599\) | 13.6724 | − | 19.8080i | 0.558641 | − | 0.809331i | −0.437302 | − | 0.899315i | \(-0.644066\pi\) |
0.995943 | + | 0.0899832i | \(0.0286813\pi\) | |||||||
\(600\) | 7.57022 | − | 3.59211i | 0.309053 | − | 0.146647i | ||||
\(601\) | 29.2340 | − | 18.4864i | 1.19248 | − | 0.754078i | 0.217432 | − | 0.976076i | \(-0.430232\pi\) |
0.975047 | + | 0.221998i | \(0.0712577\pi\) | |||||||
\(602\) | 10.4850 | − | 1.70398i | 0.427338 | − | 0.0694492i | ||||
\(603\) | −7.02060 | + | 13.3766i | −0.285901 | + | 0.544739i | ||||
\(604\) | −56.5770 | − | 46.1937i | −2.30209 | − | 1.87960i | ||||
\(605\) | −5.65076 | + | 5.42763i | −0.229736 | + | 0.220665i | ||||
\(606\) | − | 10.8584i | − | 0.441093i | ||||||
\(607\) | 18.5657 | + | 19.3290i | 0.753559 | + | 0.784538i | 0.981972 | − | 0.189026i | \(-0.0605331\pi\) |
−0.228413 | + | 0.973564i | \(0.573354\pi\) | |||||||
\(608\) | 9.63862 | − | 3.21785i | 0.390898 | − | 0.130501i | ||||
\(609\) | 0.605455 | + | 7.49990i | 0.0245343 | + | 0.303911i | ||||
\(610\) | −19.4324 | + | 4.78965i | −0.786793 | + | 0.193927i | ||||
\(611\) | 35.8531 | + | 3.79480i | 1.45046 | + | 0.153521i | ||||
\(612\) | −14.2428 | − | 3.51055i | −0.575733 | − | 0.141905i | ||||
\(613\) | 3.41071 | − | 20.9869i | 0.137757 | − | 0.847654i | −0.822547 | − | 0.568698i | \(-0.807447\pi\) |
0.960304 | − | 0.278956i | \(-0.0899885\pi\) | |||||||
\(614\) | −28.2925 | − | 34.6521i | −1.14179 | − | 1.39844i | ||||
\(615\) | −2.11110 | + | 1.58639i | −0.0851278 | + | 0.0639694i | ||||
\(616\) | −13.7033 | + | 15.4678i | −0.552122 | + | 0.623217i | ||||
\(617\) | 2.21369 | + | 13.6214i | 0.0891196 | + | 0.548375i | 0.992763 | + | 0.120090i | \(0.0383182\pi\) |
−0.903643 | + | 0.428286i | \(0.859118\pi\) | |||||||
\(618\) | −1.90894 | + | 23.6465i | −0.0767890 | + | 0.951202i | ||||
\(619\) | 10.7936 | + | 43.7914i | 0.433831 | + | 1.76012i | 0.627061 | + | 0.778970i | \(0.284258\pi\) |
−0.193230 | + | 0.981154i | \(0.561896\pi\) | |||||||
\(620\) | 5.36312 | + | 18.5156i | 0.215388 | + | 0.743606i | ||||
\(621\) | −1.60148 | − | 7.84455i | −0.0642651 | − | 0.314791i | ||||
\(622\) | 12.3641 | − | 10.0950i | 0.495756 | − | 0.404772i | ||||
\(623\) | 0.325907 | − | 2.68409i | 0.0130572 | − | 0.107536i | ||||
\(624\) | 0.582000 | − | 0.258614i | 0.0232987 | − | 0.0103528i | ||||
\(625\) | −0.0232148 | − | 0.191191i | −0.000928591 | − | 0.00764764i | ||||
\(626\) | 30.3681 | + | 29.1690i | 1.21375 | + | 1.16583i | ||||
\(627\) | 2.78174 | − | 2.89609i | 0.111092 | − | 0.115659i | ||||
\(628\) | −12.6857 | + | 26.7345i | −0.506215 | + | 1.06682i | ||||
\(629\) | −45.2954 | + | 31.2652i | −1.80605 | + | 1.24662i | ||||
\(630\) | −5.53833 | + | 8.75816i | −0.220652 | + | 0.348934i | ||||
\(631\) | 5.15083 | + | 6.85451i | 0.205051 | + | 0.272874i | 0.890240 | − | 0.455492i | \(-0.150537\pi\) |
−0.685188 | + | 0.728366i | \(0.740280\pi\) | |||||||
\(632\) | 13.5413 | + | 25.8007i | 0.538642 | + | 1.02630i | ||||
\(633\) | −0.632607 | + | 3.09871i | −0.0251439 | + | 0.123163i | ||||
\(634\) | 25.1454 | − | 2.02995i | 0.998651 | − | 0.0806194i | ||||
\(635\) | 8.16771 | + | 2.36581i | 0.324126 | + | 0.0938841i | ||||
\(636\) | −13.9044 | − | 7.29761i | −0.551347 | − | 0.289369i | ||||
\(637\) | −13.3629 | + | 1.28590i | −0.529459 | + | 0.0509493i | ||||
\(638\) | 10.7331 | − | 5.63317i | 0.424928 | − | 0.223019i | ||||
\(639\) | 4.92631 | − | 1.00571i | 0.194882 | − | 0.0397854i | ||||
\(640\) | 19.8790 | + | 14.9381i | 0.785786 | + | 0.590480i | ||||
\(641\) | −0.625988 | − | 15.5337i | −0.0247250 | − | 0.613545i | −0.963293 | − | 0.268451i | \(-0.913488\pi\) |
0.938568 | − | 0.345094i | \(-0.112153\pi\) | |||||||
\(642\) | −13.2540 | + | 5.02658i | −0.523094 | + | 0.198383i | ||||
\(643\) | 8.26117 | − | 2.39288i | 0.325789 | − | 0.0943658i | −0.111293 | − | 0.993788i | \(-0.535499\pi\) |
0.437082 | + | 0.899422i | \(0.356012\pi\) | |||||||
\(644\) | 82.1049 | + | 16.7618i | 3.23539 | + | 0.660509i | ||||
\(645\) | −1.30998 | − | 1.47867i | −0.0515806 | − | 0.0582224i | ||||
\(646\) | −11.4809 | + | 14.0616i | −0.451710 | + | 0.553244i | ||||
\(647\) | 0.866586 | − | 21.5041i | 0.0340690 | − | 0.845414i | −0.888337 | − | 0.459192i | \(-0.848139\pi\) |
0.922406 | − | 0.386222i | \(-0.126220\pi\) | |||||||
\(648\) | 0.863490 | + | 2.58647i | 0.0339211 | + | 0.101606i | ||||
\(649\) | −14.4010 | + | 12.7582i | −0.565288 | + | 0.500801i | ||||
\(650\) | −2.41919 | − | 25.1400i | −0.0948886 | − | 0.986070i | ||||
\(651\) | 10.6490 | + | 9.43421i | 0.417368 | + | 0.369756i | ||||
\(652\) | −11.1510 | + | 26.1723i | −0.436706 | + | 1.02499i | ||||
\(653\) | −9.22441 | + | 15.9771i | −0.360979 | + | 0.625234i | −0.988122 | − | 0.153670i | \(-0.950891\pi\) |
0.627143 | + | 0.778904i | \(0.284224\pi\) | |||||||
\(654\) | −0.813069 | − | 1.40828i | −0.0317935 | − | 0.0550680i | ||||
\(655\) | −24.6041 | + | 2.98748i | −0.961361 | + | 0.116730i | ||||
\(656\) | 0.303568 | + | 0.144045i | 0.0118523 | + | 0.00562401i | ||||
\(657\) | 3.55590 | − | 2.05300i | 0.138729 | − | 0.0800951i | ||||
\(658\) | 61.4290 | + | 42.4014i | 2.39475 | + | 1.65298i | ||||
\(659\) | 0.819972 | − | 0.349357i | 0.0319416 | − | 0.0136090i | −0.375937 | − | 0.926645i | \(-0.622679\pi\) |
0.407878 | + | 0.913036i | \(0.366269\pi\) | |||||||
\(660\) | 10.1354 | + | 1.64716i | 0.394518 | + | 0.0641155i | ||||
\(661\) | −11.6051 | + | 15.4436i | −0.451386 | + | 0.600685i | −0.966573 | − | 0.256393i | \(-0.917466\pi\) |
0.515187 | + | 0.857078i | \(0.327722\pi\) | |||||||
\(662\) | −3.41647 | − | 9.00850i | −0.132785 | − | 0.350125i | ||||
\(663\) | −9.18964 | + | 13.7615i | −0.356896 | + | 0.534452i | ||||
\(664\) | 3.90305 | − | 10.2915i | 0.151468 | − | 0.399388i | ||||
\(665\) | 4.21577 | + | 6.66671i | 0.163481 | + | 0.258524i | ||||
\(666\) | 25.1488 | + | 10.7149i | 0.974496 | + | 0.415194i | ||||
\(667\) | −15.5486 | − | 9.83232i | −0.602043 | − | 0.380709i | ||||
\(668\) | 15.5078 | + | 1.88299i | 0.600015 | + | 0.0728550i | ||||
\(669\) | −2.89602 | − | 6.79720i | −0.111967 | − | 0.262795i | ||||
\(670\) | −15.1383 | + | 45.3449i | −0.584845 | + | 1.75182i | ||||
\(671\) | 13.6858 | + | 5.19035i | 0.528336 | + | 0.200371i | ||||
\(672\) | 19.1150 | + | 1.54312i | 0.737376 | + | 0.0595271i | ||||
\(673\) | −10.4767 | + | 36.1697i | −0.403847 | + | 1.39424i | 0.458848 | + | 0.888515i | \(0.348262\pi\) |
−0.862694 | + | 0.505726i | \(0.831225\pi\) | |||||||
\(674\) | 33.4673 | + | 1.34868i | 1.28911 | + | 0.0519494i | ||||
\(675\) | −3.07292 | −0.118277 | ||||||||
\(676\) | 2.94916 | + | 41.4460i | 0.113429 | + | 1.59408i | ||||
\(677\) | −20.6547 | −0.793824 | −0.396912 | − | 0.917857i | \(-0.629918\pi\) | ||||
−0.396912 | + | 0.917857i | \(0.629918\pi\) | |||||||
\(678\) | 23.8198 | + | 0.959905i | 0.914794 | + | 0.0368649i | ||||
\(679\) | −6.94098 | + | 23.9630i | −0.266370 | + | 0.919617i | ||||
\(680\) | −17.3165 | − | 1.39793i | −0.664058 | − | 0.0536083i | ||||
\(681\) | 21.2053 | + | 8.04210i | 0.812588 | + | 0.308174i | ||||
\(682\) | 7.25785 | − | 21.7399i | 0.277917 | − | 0.832464i | ||||
\(683\) | −10.1033 | − | 23.7134i | −0.386594 | − | 0.907368i | −0.993630 | − | 0.112694i | \(-0.964052\pi\) |
0.607036 | − | 0.794674i | \(-0.292358\pi\) | |||||||
\(684\) | 5.50554 | + | 0.668493i | 0.210510 | + | 0.0255605i | ||||
\(685\) | 15.5316 | + | 9.82157i | 0.593431 | + | 0.375263i | ||||
\(686\) | 22.5019 | + | 9.58716i | 0.859126 | + | 0.366039i | ||||
\(687\) | −13.3469 | − | 21.1064i | −0.509214 | − | 0.805258i | ||||
\(688\) | −0.0891347 | + | 0.235029i | −0.00339823 | + | 0.00896039i | ||||
\(689\) | −13.0771 | + | 11.9492i | −0.498196 | + | 0.455229i | ||||
\(690\) | −8.98408 | − | 23.6891i | −0.342018 | − | 0.901827i | ||||
\(691\) | −16.9141 | + | 22.5086i | −0.643444 | + | 0.856268i | −0.996859 | − | 0.0791984i | \(-0.974764\pi\) |
0.353415 | + | 0.935467i | \(0.385020\pi\) | |||||||
\(692\) | −49.2964 | − | 8.01144i | −1.87397 | − | 0.304549i | ||||
\(693\) | 6.97199 | − | 2.97049i | 0.264844 | − | 0.112839i | ||||
\(694\) | −24.5081 | − | 16.9167i | −0.930313 | − | 0.642149i | ||||
\(695\) | 18.3925 | − | 10.6189i | 0.697669 | − | 0.402799i | ||||
\(696\) | 5.66055 | + | 2.68596i | 0.214563 | + | 0.101811i | ||||
\(697\) | −8.66684 | + | 1.05235i | −0.328280 | + | 0.0398604i | ||||
\(698\) | 21.1042 | + | 36.5536i | 0.798807 | + | 1.38357i | ||||
\(699\) | 12.3497 | − | 21.3904i | 0.467110 | − | 0.809058i | ||||
\(700\) | 12.6067 | − | 29.5890i | 0.476488 | − | 1.11836i | ||||
\(701\) | 33.9551 | + | 30.0816i | 1.28247 | + | 1.13616i | 0.983306 | + | 0.181962i | \(0.0582447\pi\) |
0.299160 | + | 0.954203i | \(0.403294\pi\) | |||||||
\(702\) | 8.21638 | + | 0.204604i | 0.310107 | + | 0.00772229i | ||||
\(703\) | 15.5753 | − | 13.7985i | 0.587432 | − | 0.520420i | ||||
\(704\) | −9.52429 | − | 28.5287i | −0.358960 | − | 1.07522i | ||||
\(705\) | 0.558936 | − | 13.8698i | 0.0210507 | − | 0.522369i | ||||
\(706\) | −11.0046 | + | 13.4781i | −0.414162 | + | 0.507256i | ||||
\(707\) | −10.3438 | − | 11.6758i | −0.389020 | − | 0.439113i | ||||
\(708\) | −26.0345 | − | 5.31499i | −0.978438 | − | 0.199750i | ||||
\(709\) | −20.9606 | + | 6.07132i | −0.787193 | + | 0.228013i | −0.647383 | − | 0.762165i | \(-0.724136\pi\) |
−0.139810 | + | 0.990178i | \(0.544649\pi\) | |||||||
\(710\) | 14.8765 | − | 5.64192i | 0.558305 | − | 0.211737i | ||||
\(711\) | −0.430278 | − | 10.6772i | −0.0161367 | − | 0.400428i | ||||
\(712\) | −1.79991 | − | 1.35254i | −0.0674544 | − | 0.0506887i | ||||
\(713\) | −34.0812 | + | 6.95773i | −1.27635 | + | 0.260569i | ||||
\(714\) | −30.3349 | + | 15.9210i | −1.13526 | + | 0.595828i | ||||
\(715\) | 5.63673 | − | 10.1194i | 0.210802 | − | 0.378444i | ||||
\(716\) | −10.2595 | − | 5.38462i | −0.383417 | − | 0.201233i | ||||
\(717\) | 6.26870 | + | 1.81575i | 0.234109 | + | 0.0678105i | ||||
\(718\) | −0.453534 | + | 0.0366131i | −0.0169258 | + | 0.00136639i | ||||
\(719\) | −0.863193 | + | 4.22820i | −0.0321917 | + | 0.157685i | −0.992709 | − | 0.120534i | \(-0.961539\pi\) |
0.960517 | + | 0.278220i | \(0.0897443\pi\) | |||||||
\(720\) | −0.113953 | − | 0.217119i | −0.00424677 | − | 0.00809154i | ||||
\(721\) | 20.4733 | + | 27.2450i | 0.762465 | + | 1.01466i | ||||
\(722\) | −19.4800 | + | 30.8052i | −0.724972 | + | 1.14645i | ||||
\(723\) | −3.52772 | + | 2.43501i | −0.131197 | + | 0.0905588i | ||||
\(724\) | 15.6088 | − | 32.8949i | 0.580097 | − | 1.22253i | ||||
\(725\) | −4.89117 | + | 5.09224i | −0.181653 | + | 0.189121i | ||||
\(726\) | 9.27899 | + | 8.91259i | 0.344376 | + | 0.330777i | ||||
\(727\) | 0.978799 | + | 8.06114i | 0.0363017 | + | 0.298971i | 0.999540 | + | 0.0303233i | \(0.00965369\pi\) |
−0.963238 | + | 0.268648i | \(0.913423\pi\) | |||||||
\(728\) | −13.3528 | + | 29.2955i | −0.494889 | + | 1.08576i | ||||
\(729\) | 0.120537 | − | 0.992709i | 0.00446432 | − | 0.0367670i | ||||
\(730\) | 10.0645 | − | 8.21742i | 0.372504 | − | 0.304140i | ||||
\(731\) | −1.30640 | − | 6.39915i | −0.0483188 | − | 0.236681i | ||||
\(732\) | 5.62418 | + | 19.4169i | 0.207876 | + | 0.717670i | ||||
\(733\) | −4.13812 | − | 16.7890i | −0.152845 | − | 0.620116i | −0.996527 | − | 0.0832728i | \(-0.973463\pi\) |
0.843682 | − | 0.536843i | \(-0.180383\pi\) | |||||||
\(734\) | 0.0403561 | − | 0.499900i | 0.00148957 | − | 0.0184517i | ||||
\(735\) | 0.829119 | + | 5.10178i | 0.0305825 | + | 0.188182i | ||||
\(736\) | −31.0920 | + | 35.0956i | −1.14606 | + | 1.29364i | ||||
\(737\) | 27.9500 | − | 21.0030i | 1.02955 | − | 0.773656i | ||||
\(738\) | 2.74245 | + | 3.35889i | 0.100951 | + | 0.123642i | ||||
\(739\) | −0.298187 | + | 1.83482i | −0.0109690 | + | 0.0674948i | −0.991958 | − | 0.126570i | \(-0.959603\pi\) |
0.980989 | + | 0.194065i | \(0.0621672\pi\) | |||||||
\(740\) | 51.6625 | + | 12.7337i | 1.89915 | + | 0.468098i | ||||
\(741\) | 2.82188 | − | 5.58369i | 0.103664 | − | 0.205122i | ||||
\(742\) | −35.6084 | + | 8.77667i | −1.30722 | + | 0.322202i | ||||
\(743\) | −0.712194 | − | 8.82210i | −0.0261279 | − | 0.323652i | −0.996597 | − | 0.0824268i | \(-0.973733\pi\) |
0.970469 | − | 0.241225i | \(-0.0775491\pi\) | |||||||
\(744\) | 11.2371 | − | 3.75149i | 0.411972 | − | 0.137536i | ||||
\(745\) | −20.9899 | − | 21.8529i | −0.769012 | − | 0.800627i | ||||
\(746\) | 15.6460i | 0.572842i | ||||||||
\(747\) | −2.91115 | + | 2.79619i | −0.106513 | + | 0.102307i | ||||
\(748\) | 26.2965 | + | 21.4704i | 0.961494 | + | 0.785036i | ||||
\(749\) | −9.46333 | + | 18.0309i | −0.345782 | + | 0.658833i | ||||
\(750\) | −25.2153 | + | 4.09788i | −0.920731 | + | 0.149633i | ||||
\(751\) | 1.10398 | − | 0.698115i | 0.0402848 | − | 0.0254746i | −0.514172 | − | 0.857687i | \(-0.671901\pi\) |
0.554456 | + | 0.832213i | \(0.312926\pi\) | |||||||
\(752\) | −1.59573 | + | 0.757181i | −0.0581901 | + | 0.0276116i | ||||
\(753\) | −0.494063 | + | 0.715774i | −0.0180047 | + | 0.0260842i | ||||
\(754\) | 13.4171 | − | 13.2900i | 0.488621 | − | 0.483993i | ||||
\(755\) | 18.0207 | + | 26.1075i | 0.655840 | + | 0.950149i | ||||
\(756\) | 9.06424 | + | 5.23324i | 0.329663 | + | 0.190331i | ||||
\(757\) | −6.33023 | − | 13.3407i | −0.230076 | − | 0.484875i | 0.755276 | − | 0.655407i | \(-0.227503\pi\) |
−0.985352 | + | 0.170531i | \(0.945452\pi\) | |||||||
\(758\) | −30.1124 | − | 10.0530i | −1.09373 | − | 0.365142i | ||||
\(759\) | −4.43424 | + | 17.9904i | −0.160953 | + | 0.653011i | ||||
\(760\) | 6.56285 | − | 0.264474i | 0.238060 | − | 0.00959348i | ||||
\(761\) | 0.220759 | − | 0.00889628i | 0.00800250 | − | 0.000322490i | −0.0362644 | − | 0.999342i | \(-0.511546\pi\) |
0.0442669 | + | 0.999020i | \(0.485905\pi\) | |||||||
\(762\) | 3.34164 | − | 13.5575i | 0.121055 | − | 0.491138i | ||||
\(763\) | −2.21581 | − | 0.739746i | −0.0802177 | − | 0.0267806i | ||||
\(764\) | −22.9665 | − | 48.4009i | −0.830899 | − | 1.75108i | ||||
\(765\) | 5.51758 | + | 3.18557i | 0.199488 | + | 0.115175i | ||||
\(766\) | 11.5667 | + | 16.7573i | 0.417923 | + | 0.605466i | ||||
\(767\) | −15.6288 | + | 25.5776i | −0.564325 | + | 0.923552i | ||||
\(768\) | 8.42989 | − | 12.2128i | 0.304187 | − | 0.440692i | ||||
\(769\) | 13.6976 | − | 6.49958i | 0.493947 | − | 0.234381i | −0.165390 | − | 0.986228i | \(-0.552888\pi\) |
0.659337 | + | 0.751847i | \(0.270837\pi\) | |||||||
\(770\) | 20.2687 | − | 12.8172i | 0.730434 | − | 0.461899i | ||||
\(771\) | −10.2003 | + | 1.65771i | −0.367355 | + | 0.0597010i | ||||
\(772\) | −39.2081 | + | 74.7049i | −1.41113 | + | 2.68869i | ||||
\(773\) | 17.9516 | + | 14.6570i | 0.645675 | + | 0.527177i | 0.897736 | − | 0.440534i | \(-0.145211\pi\) |
−0.252061 | + | 0.967711i | \(0.581108\pi\) | |||||||
\(774\) | −2.33950 | + | 2.24712i | −0.0840915 | + | 0.0807710i | ||||
\(775\) | 13.3505i | 0.479564i | ||||||||
\(776\) | 14.3908 | + | 14.9824i | 0.516600 | + | 0.537837i | ||||
\(777\) | 37.2490 | − | 12.4355i | 1.33630 | − | 0.446123i | ||||
\(778\) | −1.13883 | − | 14.1070i | −0.0408291 | − | 0.505759i | ||||
\(779\) | 3.20484 | − | 0.789923i | 0.114825 | − | 0.0283019i | ||||
\(780\) | 15.8495 | − | 2.17232i | 0.567505 | − | 0.0777817i | ||||
\(781\) | −11.2978 | − | 2.78466i | −0.404268 | − | 0.0996431i | ||||
\(782\) | 13.4363 | − | 82.6771i | 0.480483 | − | 2.95653i | ||||
\(783\) | −1.45320 | − | 1.77984i | −0.0519330 | − | 0.0636064i | ||||
\(784\) | 0.525775 | − | 0.395094i | 0.0187777 | − | 0.0141105i | ||||
\(785\) | 8.52269 | − | 9.62012i | 0.304188 | − | 0.343357i | ||||
\(786\) | 6.52850 | + | 40.1715i | 0.232864 | + | 1.43287i | ||||
\(787\) | 3.84385 | − | 47.6146i | 0.137018 | − | 1.69728i | −0.454308 | − | 0.890845i | \(-0.650113\pi\) |
0.591326 | − | 0.806432i | \(-0.298605\pi\) | |||||||
\(788\) | 13.5028 | + | 54.7830i | 0.481017 | + | 1.95156i | ||||
\(789\) | −5.39276 | − | 18.6180i | −0.191987 | − | 0.662817i | ||||
\(790\) | −6.76380 | − | 33.1313i | −0.240645 | − | 1.17876i | ||||
\(791\) | 26.5272 | − | 21.6588i | 0.943200 | − | 0.770099i | ||||
\(792\) | 0.760652 | − | 6.26453i | 0.0270286 | − | 0.222600i | ||||
\(793\) | 22.7555 | + | 1.48517i | 0.808073 | + | 0.0527398i | ||||
\(794\) | 9.08135 | + | 74.7917i | 0.322285 | + | 2.65426i | ||||
\(795\) | 4.91878 | + | 4.72455i | 0.174451 | + | 0.167563i | ||||
\(796\) | −37.2523 | + | 38.7838i | −1.32037 | + | 1.37465i | ||||
\(797\) | 1.16791 | − | 2.46133i | 0.0413696 | − | 0.0871847i | −0.881713 | − | 0.471786i | \(-0.843610\pi\) |
0.923083 | + | 0.384601i | \(0.125661\pi\) | |||||||
\(798\) | 10.6596 | − | 7.35780i | 0.377346 | − | 0.260463i | ||||
\(799\) | 24.5279 | − | 38.7878i | 0.867736 | − | 1.37222i | ||||
\(800\) | 10.8108 | + | 14.3866i | 0.382220 | + | 0.508642i | ||||
\(801\) | 0.383711 | + | 0.731100i | 0.0135578 | + | 0.0258321i | ||||
\(802\) | 5.41524 | − | 26.5256i | 0.191219 | − | 0.936652i | ||||
\(803\) | −9.47156 | + | 0.764623i | −0.334244 | + | 0.0269830i | ||||
\(804\) | 46.3790 | + | 13.4339i | 1.63566 | + | 0.473776i | ||||
\(805\) | −32.2268 | − | 16.9139i | −1.13585 | − | 0.596137i | ||||
\(806\) | 0.888917 | − | 35.6966i | 0.0313108 | − | 1.25736i | ||||
\(807\) | −0.745504 | + | 0.391270i | −0.0262430 | + | 0.0137734i | ||||
\(808\) | −12.7265 | + | 2.59814i | −0.447717 | + | 0.0914021i | ||||
\(809\) | 5.69370 | + | 4.27854i | 0.200180 | + | 0.150425i | 0.696105 | − | 0.717940i | \(-0.254915\pi\) |
−0.495925 | + | 0.868365i | \(0.665171\pi\) | |||||||
\(810\) | −0.127418 | − | 3.16185i | −0.00447702 | − | 0.111096i | ||||
\(811\) | −36.1812 | + | 13.7217i | −1.27049 | + | 0.481834i | −0.895445 | − | 0.445172i | \(-0.853143\pi\) |
−0.375047 | + | 0.927006i | \(0.622373\pi\) | |||||||
\(812\) | 23.0998 | − | 6.69093i | 0.810643 | − | 0.234806i | ||||
\(813\) | 10.8753 | + | 2.22021i | 0.381413 | + | 0.0778661i | ||||
\(814\) | −41.9514 | − | 47.3534i | −1.47040 | − | 1.65973i | ||||
\(815\) | 7.81450 | − | 9.57102i | 0.273730 | − | 0.335258i | ||||
\(816\) | 0.0326427 | − | 0.810019i | 0.00114272 | − | 0.0283564i | ||||
\(817\) | 0.781930 | + | 2.34217i | 0.0273563 | + | 0.0819420i | ||||
\(818\) | 31.3432 | − | 27.7677i | 1.09589 | − | 0.970874i | ||||
\(819\) | 9.02978 | − | 7.60700i | 0.315526 | − | 0.265810i | ||||
\(820\) | 6.31765 | + | 5.59695i | 0.220622 | + | 0.195454i | ||||
\(821\) | −13.4111 | + | 31.4771i | −0.468051 | + | 1.09856i | 0.503982 | + | 0.863714i | \(0.331868\pi\) |
−0.972033 | + | 0.234843i | \(0.924542\pi\) | |||||||
\(822\) | 15.0877 | − | 26.1327i | 0.526246 | − | 0.911484i | ||||
\(823\) | 9.55154 | + | 16.5438i | 0.332946 | + | 0.576679i | 0.983088 | − | 0.183134i | \(-0.0586241\pi\) |
−0.650142 | + | 0.759812i | \(0.725291\pi\) | |||||||
\(824\) | 28.1714 | − | 3.42063i | 0.981399 | − | 0.119163i | ||||
\(825\) | 6.42493 | + | 3.04867i | 0.223688 | + | 0.106141i | ||||
\(826\) | −53.7427 | + | 31.0284i | −1.86995 | + | 1.07962i | ||||
\(827\) | −4.72303 | − | 3.26007i | −0.164236 | − | 0.113364i | 0.483112 | − | 0.875559i | \(-0.339506\pi\) |
−0.647348 | + | 0.762195i | \(0.724122\pi\) | |||||||
\(828\) | −23.5423 | + | 10.0304i | −0.818152 | + | 0.348582i | ||||
\(829\) | 48.9893 | + | 7.96153i | 1.70147 | + | 0.276515i | 0.932076 | − | 0.362262i | \(-0.117995\pi\) |
0.769392 | + | 0.638777i | \(0.220559\pi\) | |||||||
\(830\) | −7.67341 | + | 10.2115i | −0.266348 | + | 0.354445i | ||||
\(831\) | 8.44914 | + | 22.2786i | 0.293097 | + | 0.772835i | ||||
\(832\) | −27.2085 | − | 38.1497i | −0.943285 | − | 1.32260i | ||||
\(833\) | −6.05960 | + | 15.9779i | −0.209953 | + | 0.553600i | ||||
\(834\) | −18.6391 | − | 29.4753i | −0.645418 | − | 1.02065i | ||||
\(835\) | −6.24195 | − | 2.65945i | −0.216012 | − | 0.0920339i | ||||
\(836\) | −10.8479 | − | 6.85980i | −0.375183 | − | 0.237251i | ||||
\(837\) | −4.31289 | − | 0.523680i | −0.149075 | − | 0.0181010i | ||||
\(838\) | 11.3831 | + | 26.7170i | 0.393221 | + | 0.922924i | ||||
\(839\) | 7.57258 | − | 22.6827i | 0.261435 | − | 0.783092i | −0.733235 | − | 0.679976i | \(-0.761990\pi\) |
0.994669 | − | 0.103116i | \(-0.0328814\pi\) | |||||||
\(840\) | 11.5901 | + | 4.39555i | 0.399897 | + | 0.151661i | ||||
\(841\) | 23.6435 | + | 1.90870i | 0.815292 | + | 0.0658172i | ||||
\(842\) | −2.01684 | + | 6.96293i | −0.0695048 | + | 0.239959i | ||||
\(843\) | 3.53187 | + | 0.142329i | 0.121644 | + | 0.00490208i | ||||
\(844\) | 10.1084 | 0.347947 | ||||||||
\(845\) | 3.77788 | − | 17.6467i | 0.129963 | − | 0.607064i | ||||
\(846\) | −22.7938 | −0.783668 | ||||||||
\(847\) | 18.4677 | + | 0.744222i | 0.634557 | + | 0.0255718i | ||||
\(848\) | 0.241443 | − | 0.833558i | 0.00829119 | − | 0.0286245i | ||||
\(849\) | −18.7347 | − | 1.51242i | −0.642973 | − | 0.0519061i | ||||
\(850\) | −30.0595 | − | 11.4000i | −1.03103 | − | 0.391018i | ||||
\(851\) | −30.4043 | + | 91.0719i | −1.04225 | + | 3.12191i | ||||
\(852\) | −6.29902 | − | 14.7844i | −0.215801 | − | 0.506504i | ||||
\(853\) | 54.0160 | + | 6.55873i | 1.84947 | + | 0.224567i | 0.968571 | − | 0.248735i | \(-0.0800150\pi\) |
0.880900 | + | 0.473302i | \(0.156938\pi\) | |||||||
\(854\) | 39.9026 | + | 25.2329i | 1.36544 | + | 0.863452i | ||||
\(855\) | −2.21600 | − | 0.944150i | −0.0757857 | − | 0.0322893i | ||||
\(856\) | 9.06270 | + | 14.3315i | 0.309757 | + | 0.489841i | ||||
\(857\) | 1.10948 | − | 2.92546i | 0.0378991 | − | 0.0999317i | −0.914731 | − | 0.404064i | \(-0.867597\pi\) |
0.952630 | + | 0.304132i | \(0.0983665\pi\) | |||||||
\(858\) | −16.9760 | − | 8.57934i | −0.579552 | − | 0.292894i | ||||
\(859\) | 16.4464 | + | 43.3656i | 0.561144 | + | 1.47962i | 0.852358 | + | 0.522958i | \(0.175172\pi\) |
−0.291214 | + | 0.956658i | \(0.594059\pi\) | |||||||
\(860\) | −3.79312 | + | 5.04772i | −0.129344 | + | 0.172126i | ||||
\(861\) | 6.14859 | + | 0.999244i | 0.209543 | + | 0.0340541i | ||||
\(862\) | −23.7170 | + | 10.1049i | −0.807805 | + | 0.344174i | ||||
\(863\) | 38.6508 | + | 26.6787i | 1.31569 | + | 0.908154i | 0.999182 | − | 0.0404371i | \(-0.0128750\pi\) |
0.316505 | + | 0.948591i | \(0.397490\pi\) | |||||||
\(864\) | −5.07166 | + | 2.92812i | −0.172541 | + | 0.0996167i | ||||
\(865\) | 19.5972 | + | 9.29899i | 0.666325 | + | 0.316175i | ||||
\(866\) | −66.8081 | + | 8.11197i | −2.27023 | + | 0.275656i | ||||
\(867\) | 2.03186 | + | 3.51928i | 0.0690056 | + | 0.119521i | ||||
\(868\) | 22.7362 | − | 39.3802i | 0.771716 | − | 1.33665i | ||||
\(869\) | −9.69335 | + | 22.7511i | −0.328824 | + | 0.771779i | ||||
\(870\) | −5.44243 | − | 4.82157i | −0.184516 | − | 0.163467i | ||||
\(871\) | 32.0484 | − | 44.0432i | 1.08592 | − | 1.49235i | ||||
\(872\) | −1.45601 | + | 1.28991i | −0.0493068 | + | 0.0436820i | ||||
\(873\) | −2.41255 | − | 7.22646i | −0.0816523 | − | 0.244578i | ||||
\(874\) | −1.27514 | + | 31.6423i | −0.0431323 | + | 1.07032i | ||||
\(875\) | −23.2097 | + | 28.4267i | −0.784629 | + | 0.960997i | ||||
\(876\) | −8.70259 | − | 9.82319i | −0.294033 | − | 0.331895i | ||||
\(877\) | 41.4958 | + | 8.47143i | 1.40121 | + | 0.286060i | 0.840438 | − | 0.541908i | \(-0.182298\pi\) |
0.560776 | + | 0.827968i | \(0.310503\pi\) | |||||||
\(878\) | 17.8322 | − | 5.16516i | 0.601808 | − | 0.174316i | ||||
\(879\) | 3.08420 | − | 1.16968i | 0.104028 | − | 0.0394524i | ||||
\(880\) | 0.0228498 | + | 0.567011i | 0.000770266 | + | 0.0191139i | ||||
\(881\) | −12.0521 | − | 9.05655i | −0.406045 | − | 0.305123i | 0.378025 | − | 0.925795i | \(-0.376603\pi\) |
−0.784070 | + | 0.620672i | \(0.786860\pi\) | |||||||
\(882\) | 8.31589 | − | 1.69770i | 0.280011 | − | 0.0571646i | ||||
\(883\) | −14.8911 | + | 7.81544i | −0.501125 | + | 0.263010i | −0.696291 | − | 0.717760i | \(-0.745168\pi\) |
0.195166 | + | 0.980770i | \(0.437475\pi\) | |||||||
\(884\) | 48.9710 | + | 19.9804i | 1.64707 | + | 0.672014i | ||||
\(885\) | 10.2187 | + | 5.36321i | 0.343499 | + | 0.180282i | ||||
\(886\) | −6.89239 | − | 1.99641i | −0.231554 | − | 0.0670706i | ||||
\(887\) | −53.8829 | + | 4.34988i | −1.80921 | + | 0.146055i | −0.938397 | − | 0.345558i | \(-0.887690\pi\) |
−0.870814 | + | 0.491613i | \(0.836408\pi\) | |||||||
\(888\) | 6.54085 | − | 32.0392i | 0.219497 | − | 1.07517i | ||||
\(889\) | −9.32188 | − | 17.7614i | −0.312646 | − | 0.595697i | ||||
\(890\) | 1.56961 | + | 2.08877i | 0.0526134 | + | 0.0700158i | ||||
\(891\) | −1.23690 | + | 1.95600i | −0.0414376 | + | 0.0655283i | ||||
\(892\) | −19.4348 | + | 13.4149i | −0.650724 | + | 0.449163i | ||||
\(893\) | −7.43809 | + | 15.6754i | −0.248906 | + | 0.524559i | ||||
\(894\) | −34.4671 | + | 35.8841i | −1.15275 | + | 1.20014i | ||||
\(895\) | 3.62938 | + | 3.48606i | 0.121317 | + | 0.116526i | ||||
\(896\) | −7.07035 | − | 58.2296i | −0.236204 | − | 1.94531i | ||||
\(897\) | 1.60583 | + | 28.8226i | 0.0536173 | + | 0.962360i | ||||
\(898\) | 5.10526 | − | 42.0456i | 0.170365 | − | 1.40308i | ||||
\(899\) | −7.73264 | + | 6.31351i | −0.257898 | + | 0.210567i | ||||
\(900\) | 1.96459 | + | 9.62322i | 0.0654865 | + | 0.320774i | ||||
\(901\) | 6.27339 | + | 21.6582i | 0.208997 | + | 0.721541i | ||||
\(902\) | −2.40160 | − | 9.74366i | −0.0799644 | − | 0.324428i | ||||
\(903\) | −0.374975 | + | 4.64490i | −0.0124784 | + | 0.154573i | ||||
\(904\) | −4.57441 | − | 28.1475i | −0.152142 | − | 0.936170i | ||||
\(905\) | −10.4865 | + | 11.8368i | −0.348584 | + | 0.393470i | ||||
\(906\) | 41.6442 | − | 31.2936i | 1.38354 | − | 1.03966i | ||||
\(907\) | 4.77969 | + | 5.85406i | 0.158707 | + | 0.194381i | 0.847837 | − | 0.530257i | \(-0.177905\pi\) |
−0.689130 | + | 0.724638i | \(0.742007\pi\) | |||||||
\(908\) | 11.6278 | − | 71.5485i | 0.385881 | − | 2.37442i | ||||
\(909\) | 4.62505 | + | 1.13997i | 0.153403 | + | 0.0378105i | ||||
\(910\) | 24.3426 | − | 28.3436i | 0.806949 | − | 0.939581i | ||||
\(911\) | 57.2995 | − | 14.1231i | 1.89842 | − | 0.467918i | 0.898859 | − | 0.438238i | \(-0.144397\pi\) |
0.999559 | − | 0.0296806i | \(-0.00944901\pi\) | |||||||
\(912\) | 0.0246625 | + | 0.305500i | 0.000816658 | + | 0.0101161i | ||||
\(913\) | 8.86083 | − | 2.95818i | 0.293251 | − | 0.0979014i | ||||
\(914\) | −45.3956 | − | 47.2618i | −1.50155 | − | 1.56328i | ||||
\(915\) | − | 8.77988i | − | 0.290254i | ||||||
\(916\) | −57.5642 | + | 55.2911i | −1.90197 | + | 1.82687i | ||||
\(917\) | 45.2877 | + | 36.9763i | 1.49553 | + | 1.22106i | ||||
\(918\) | 4.86189 | − | 9.26356i | 0.160466 | − | 0.305743i | ||||
\(919\) | 55.3152 | − | 8.98959i | 1.82468 | − | 0.296539i | 0.851119 | − | 0.524972i | \(-0.175924\pi\) |
0.973560 | + | 0.228433i | \(0.0733601\pi\) | |||||||
\(920\) | −25.6149 | + | 16.1979i | −0.844498 | + | 0.534028i | ||||
\(921\) | 17.7300 | − | 8.41301i | 0.584225 | − | 0.277218i | ||||
\(922\) | −19.5979 | + | 28.3924i | −0.645421 | + | 0.935054i | ||||
\(923\) | −18.1003 | + | 1.00845i | −0.595780 | + | 0.0331935i | ||||
\(924\) | −13.7598 | − | 19.9345i | −0.452664 | − | 0.655798i | ||||
\(925\) | 31.9137 | + | 18.4254i | 1.04932 | + | 0.605823i | ||||
\(926\) | −14.6340 | − | 30.8406i | −0.480905 | − | 1.01349i | ||||
\(927\) | −9.87161 | − | 3.29563i | −0.324226 | − | 0.108243i | ||||
\(928\) | −3.22026 | + | 13.0651i | −0.105710 | + | 0.428884i | ||||
\(929\) | −10.5790 | + | 0.426321i | −0.347087 | + | 0.0139871i | −0.213198 | − | 0.977009i | \(-0.568388\pi\) |
−0.133890 | + | 0.990996i | \(0.542747\pi\) | |||||||
\(930\) | −13.7369 | + | 0.553577i | −0.450450 | + | 0.0181525i | ||||
\(931\) | 1.54613 | − | 6.27288i | 0.0506722 | − | 0.205585i | ||||
\(932\) | −74.8821 | − | 24.9993i | −2.45284 | − | 0.818879i | ||||
\(933\) | 3.00182 | + | 6.32621i | 0.0982753 | + | 0.207111i | ||||
\(934\) | −55.7789 | − | 32.2039i | −1.82514 | − | 1.05375i | ||||
\(935\) | −8.37585 | − | 12.1345i | −0.273920 | − | 0.396841i | ||||
\(936\) | −1.72616 | − | 9.67889i | −0.0564213 | − | 0.316365i | ||||
\(937\) | 6.77374 | − | 9.81345i | 0.221288 | − | 0.320591i | −0.696578 | − | 0.717481i | \(-0.745295\pi\) |
0.917866 | + | 0.396890i | \(0.129910\pi\) | |||||||
\(938\) | 101.881 | − | 48.3431i | 3.32653 | − | 1.57846i | ||||
\(939\) | −15.6125 | + | 9.87272i | −0.509493 | + | 0.322184i | ||||
\(940\) | −43.7925 | + | 7.11697i | −1.42835 | + | 0.232130i | ||||
\(941\) | −17.6084 | + | 33.5501i | −0.574018 | + | 1.09370i | 0.409401 | + | 0.912355i | \(0.365738\pi\) |
−0.983419 | + | 0.181346i | \(0.941955\pi\) | |||||||
\(942\) | −16.3477 | − | 13.3475i | −0.532636 | − | 0.434884i | ||||
\(943\) | −10.9841 | + | 10.5504i | −0.357691 | + | 0.343567i | ||||
\(944\) | − | 1.46846i | − | 0.0477942i | ||||||
\(945\) | −3.14902 | − | 3.27848i | −0.102438 | − | 0.106649i | ||||
\(946\) | 7.12087 | − | 2.37730i | 0.231519 | − | 0.0772925i | ||||
\(947\) | 3.47555 | + | 43.0524i | 0.112940 | + | 1.39902i | 0.766550 | + | 0.642184i | \(0.221972\pi\) |
−0.653610 | + | 0.756832i | \(0.726746\pi\) | |||||||
\(948\) | −33.1620 | + | 8.17370i | −1.07705 | + | 0.265469i | ||||
\(949\) | −13.7600 | + | 5.46197i | −0.446667 | + | 0.177303i | ||||
\(950\) | 11.8013 | + | 2.90876i | 0.382884 | + | 0.0943725i | ||||
\(951\) | −1.77525 | + | 10.9236i | −0.0575665 | + | 0.354221i | ||||
\(952\) | 25.9184 | + | 31.7443i | 0.840021 | + | 1.02884i | ||||
\(953\) | 37.4861 | − | 28.1690i | 1.21429 | − | 0.912483i | 0.216334 | − | 0.976319i | \(-0.430590\pi\) |
0.997960 | + | 0.0638359i | \(0.0203334\pi\) | |||||||
\(954\) | 7.42656 | − | 8.38285i | 0.240444 | − | 0.271405i | ||||
\(955\) | 3.73248 | + | 22.9669i | 0.120780 | + | 0.743191i | ||||
\(956\) | 1.67851 | − | 20.7921i | 0.0542868 | − | 0.672463i | ||||
\(957\) | 1.27258 | + | 5.16307i | 0.0411367 | + | 0.166898i | ||||
\(958\) | 0.599979 | + | 2.07137i | 0.0193844 | + | 0.0669228i | ||||
\(959\) | −8.67085 | − | 42.4726i | −0.279996 | − | 1.37151i | ||||
\(960\) | −13.9748 | + | 11.4101i | −0.451035 | + | 0.368258i | ||||
\(961\) | 1.46147 | − | 12.0363i | 0.0471443 | − | 0.388269i | ||||
\(962\) | −84.1042 | − | 51.3908i | −2.71163 | − | 1.65691i | ||||
\(963\) | −0.749555 | − | 6.17314i | −0.0241541 | − | 0.198927i | ||||
\(964\) | 9.88088 | + | 9.49071i | 0.318242 | + | 0.305675i | ||||
\(965\) | 25.3838 | − | 26.4273i | 0.817133 | − | 0.850726i | ||||
\(966\) | −25.6206 | + | 53.9943i | −0.824329 | + | 1.73724i | ||||
\(967\) | 22.7990 | − | 15.7370i | 0.733166 | − | 0.506068i | −0.142015 | − | 0.989865i | \(-0.545358\pi\) |
0.875180 | + | 0.483797i | \(0.160743\pi\) | |||||||
\(968\) | 8.22570 | − | 13.0079i | 0.264384 | − | 0.418090i | ||||
\(969\) | −4.78407 | − | 6.36644i | −0.153686 | − | 0.204520i | ||||
\(970\) | −11.2036 | − | 21.3468i | −0.359727 | − | 0.685403i | ||||
\(971\) | 8.91964 | − | 43.6913i | 0.286245 | − | 1.40212i | −0.541351 | − | 0.840796i | \(-0.682087\pi\) |
0.827596 | − | 0.561324i | \(-0.189708\pi\) | |||||||
\(972\) | −3.18585 | + | 0.257189i | −0.102186 | + | 0.00824933i | ||||
\(973\) | −48.1206 | − | 13.9383i | −1.54268 | − | 0.446842i | ||||
\(974\) | 19.3830 | + | 10.1730i | 0.621070 | + | 0.325963i | ||||
\(975\) | 10.9621 | + | 1.60889i | 0.351069 | + | 0.0515256i | ||||
\(976\) | −0.989204 | + | 0.519174i | −0.0316636 | + | 0.0166184i | ||||
\(977\) | −55.2602 | + | 11.2814i | −1.76793 | + | 0.360926i | −0.970241 | − | 0.242143i | \(-0.922150\pi\) |
−0.797690 | + | 0.603068i | \(0.793945\pi\) | |||||||
\(978\) | −16.2203 | − | 12.1888i | −0.518668 | − | 0.389754i | ||||
\(979\) | −0.0769416 | − | 1.90929i | −0.00245906 | − | 0.0610210i | ||||
\(980\) | 15.4468 | − | 5.85818i | 0.493429 | − | 0.187133i | ||||
\(981\) | 0.685203 | − | 0.198472i | 0.0218769 | − | 0.00633671i | ||||
\(982\) | 91.3047 | + | 18.6400i | 2.91365 | + | 0.594826i | ||||
\(983\) | 20.8357 | + | 23.5186i | 0.664555 | + | 0.750128i | 0.980039 | − | 0.198803i | \(-0.0637054\pi\) |
−0.315484 | + | 0.948931i | \(0.602167\pi\) | |||||||
\(984\) | 3.28056 | − | 4.01795i | 0.104580 | − | 0.128088i | ||||
\(985\) | 0.986744 | − | 24.4858i | 0.0314403 | − | 0.780183i | ||||
\(986\) | −7.61231 | − | 22.8016i | −0.242425 | − | 0.726152i | ||||
\(987\) | −24.5096 | + | 21.7136i | −0.780150 | + | 0.691153i | ||||
\(988\) | −19.2901 | − | 5.26727i | −0.613700 | − | 0.167574i | ||||
\(989\) | −8.52815 | − | 7.55528i | −0.271179 | − | 0.240244i | ||||
\(990\) | −2.87049 | + | 6.73729i | −0.0912302 | + | 0.214125i | ||||
\(991\) | −1.05974 | + | 1.83552i | −0.0336636 | + | 0.0583071i | −0.882366 | − | 0.470563i | \(-0.844051\pi\) |
0.848703 | + | 0.528870i | \(0.177384\pi\) | |||||||
\(992\) | 12.7214 | + | 22.0342i | 0.403906 | + | 0.699585i | ||||
\(993\) | 4.19577 | − | 0.509458i | 0.133149 | − | 0.0161672i | ||||
\(994\) | −33.9079 | − | 16.0895i | −1.07549 | − | 0.510328i | ||||
\(995\) | 20.2273 | − | 11.6782i | 0.641248 | − | 0.370225i | ||||
\(996\) | 10.6178 | + | 7.32893i | 0.336438 | + | 0.232226i | ||||
\(997\) | −18.7735 | + | 7.99862i | −0.594561 | + | 0.253319i | −0.668219 | − | 0.743965i | \(-0.732943\pi\) |
0.0736576 | + | 0.997284i | \(0.476533\pi\) | |||||||
\(998\) | 46.1541 | + | 7.50077i | 1.46098 | + | 0.237433i | ||||
\(999\) | −7.20417 | + | 9.58701i | −0.227930 | + | 0.303319i |
(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 | 507.2.t.b.4.14 | ✓ | 360 | |
169.127 | even | 78 | inner | 507.2.t.b.127.14 | yes | 360 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
507.2.t.b.4.14 | ✓ | 360 | 1.1 | even | 1 | trivial | |
507.2.t.b.127.14 | yes | 360 | 169.127 | even | 78 | inner |