Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [50,3,Mod(3,50)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(50, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([7]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("50.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 50 = 2 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 50.f (of order \(20\), degree \(8\), 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: | \(1.36240132180\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 17.3 | ||
Character | \(\chi\) | \(=\) | 50.17 |
Dual form | 50.3.f.b.3.3 |
$q$-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 \(\left(\mathbb{Z}/50\mathbb{Z}\right)^\times\).
\(n\) | \(27\) |
\(\chi(n)\) | \(e\left(\frac{13}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.642040 | − | 1.26007i | 0.321020 | − | 0.630037i | ||||
\(3\) | 0.382399 | − | 2.41437i | 0.127466 | − | 0.804791i | −0.838268 | − | 0.545258i | \(-0.816432\pi\) |
0.965734 | − | 0.259533i | \(-0.0835685\pi\) | |||||||
\(4\) | −1.17557 | − | 1.61803i | −0.293893 | − | 0.404508i | ||||
\(5\) | 3.59048 | + | 3.47972i | 0.718097 | + | 0.695943i | ||||
\(6\) | −2.79677 | − | 2.03197i | −0.466129 | − | 0.338662i | ||||
\(7\) | −7.03135 | − | 7.03135i | −1.00448 | − | 1.00448i | −0.999990 | − | 0.00448935i | \(-0.998571\pi\) |
−0.00448935 | − | 0.999990i | \(-0.501429\pi\) | |||||||
\(8\) | −2.79360 | + | 0.442463i | −0.349201 | + | 0.0553079i | ||||
\(9\) | 2.87654 | + | 0.934645i | 0.319616 | + | 0.103849i | ||||
\(10\) | 6.68993 | − | 2.29016i | 0.668993 | − | 0.229016i | ||||
\(11\) | 3.40151 | + | 10.4688i | 0.309228 | + | 0.951706i | 0.978066 | + | 0.208297i | \(0.0667921\pi\) |
−0.668838 | + | 0.743408i | \(0.733208\pi\) | |||||||
\(12\) | −4.35607 | + | 2.21953i | −0.363006 | + | 0.184961i | ||||
\(13\) | 8.34703 | + | 16.3820i | 0.642079 | + | 1.26015i | 0.951038 | + | 0.309075i | \(0.100020\pi\) |
−0.308959 | + | 0.951075i | \(0.599980\pi\) | |||||||
\(14\) | −13.3744 | + | 4.34562i | −0.955317 | + | 0.310401i | ||||
\(15\) | 9.77433 | − | 7.33812i | 0.651622 | − | 0.489208i | ||||
\(16\) | −1.23607 | + | 3.80423i | −0.0772542 | + | 0.237764i | ||||
\(17\) | −2.50049 | − | 15.7875i | −0.147088 | − | 0.928676i | −0.945277 | − | 0.326269i | \(-0.894208\pi\) |
0.798189 | − | 0.602407i | \(-0.205792\pi\) | |||||||
\(18\) | 3.02457 | − | 3.02457i | 0.168032 | − | 0.168032i | ||||
\(19\) | −11.0678 | + | 15.2336i | −0.582518 | + | 0.801767i | −0.993969 | − | 0.109665i | \(-0.965022\pi\) |
0.411451 | + | 0.911432i | \(0.365022\pi\) | |||||||
\(20\) | 1.40944 | − | 9.90018i | 0.0704718 | − | 0.495009i | ||||
\(21\) | −19.6651 | + | 14.2875i | −0.936433 | + | 0.680359i | ||||
\(22\) | 15.3753 | + | 2.43521i | 0.698878 | + | 0.110691i | ||||
\(23\) | −2.76788 | − | 1.41030i | −0.120343 | − | 0.0613176i | 0.392783 | − | 0.919631i | \(-0.371512\pi\) |
−0.513125 | + | 0.858314i | \(0.671512\pi\) | |||||||
\(24\) | 6.91400i | 0.288083i | ||||||||
\(25\) | 0.783135 | + | 24.9877i | 0.0313254 | + | 0.999509i | ||||
\(26\) | 26.0016 | 1.00006 | ||||||||
\(27\) | 13.3445 | − | 26.1900i | 0.494239 | − | 0.969999i | ||||
\(28\) | −3.11112 | + | 19.6428i | −0.111111 | + | 0.701529i | ||||
\(29\) | −26.7440 | − | 36.8099i | −0.922207 | − | 1.26931i | −0.962823 | − | 0.270134i | \(-0.912932\pi\) |
0.0406163 | − | 0.999175i | \(-0.487068\pi\) | |||||||
\(30\) | −2.97107 | − | 17.0277i | −0.0990356 | − | 0.567591i | ||||
\(31\) | −14.6622 | − | 10.6527i | −0.472973 | − | 0.343635i | 0.325626 | − | 0.945499i | \(-0.394425\pi\) |
−0.798599 | + | 0.601864i | \(0.794425\pi\) | |||||||
\(32\) | 4.00000 | + | 4.00000i | 0.125000 | + | 0.125000i | ||||
\(33\) | 26.5762 | − | 4.20926i | 0.805340 | − | 0.127553i | ||||
\(34\) | −21.4988 | − | 6.98539i | −0.632318 | − | 0.205453i | ||||
\(35\) | −0.778832 | − | 49.7131i | −0.0222523 | − | 1.42037i | ||||
\(36\) | −1.86929 | − | 5.75308i | −0.0519247 | − | 0.159808i | ||||
\(37\) | −20.1713 | + | 10.2778i | −0.545169 | + | 0.277777i | −0.704808 | − | 0.709398i | \(-0.748967\pi\) |
0.159639 | + | 0.987175i | \(0.448967\pi\) | |||||||
\(38\) | 12.0894 | + | 23.7268i | 0.318143 | + | 0.624390i | ||||
\(39\) | 42.7441 | − | 13.8884i | 1.09600 | − | 0.356112i | ||||
\(40\) | −11.5700 | − | 8.13230i | −0.289251 | − | 0.203307i | ||||
\(41\) | −6.91797 | + | 21.2913i | −0.168731 | + | 0.519301i | −0.999292 | − | 0.0376273i | \(-0.988020\pi\) |
0.830561 | + | 0.556928i | \(0.188020\pi\) | |||||||
\(42\) | 5.37757 | + | 33.9526i | 0.128037 | + | 0.808396i | ||||
\(43\) | 28.9795 | − | 28.9795i | 0.673942 | − | 0.673942i | −0.284680 | − | 0.958622i | \(-0.591887\pi\) |
0.958622 | + | 0.284680i | \(0.0918875\pi\) | |||||||
\(44\) | 12.9401 | − | 17.8105i | 0.294093 | − | 0.404785i | ||||
\(45\) | 7.07587 | + | 13.3654i | 0.157242 | + | 0.297008i | ||||
\(46\) | −3.55417 | + | 2.58226i | −0.0772647 | + | 0.0561361i | ||||
\(47\) | −49.6696 | − | 7.86689i | −1.05680 | − | 0.167381i | −0.396235 | − | 0.918149i | \(-0.629683\pi\) |
−0.660565 | + | 0.750769i | \(0.729683\pi\) | |||||||
\(48\) | 8.71215 | + | 4.43906i | 0.181503 | + | 0.0924805i | ||||
\(49\) | 49.8799i | 1.01796i | ||||||||
\(50\) | 31.9892 | + | 15.0563i | 0.639784 | + | 0.301126i | ||||
\(51\) | −39.0731 | −0.766139 | ||||||||
\(52\) | 16.6941 | − | 32.7639i | 0.321039 | − | 0.630075i | ||||
\(53\) | 3.99767 | − | 25.2403i | 0.0754277 | − | 0.476232i | −0.920842 | − | 0.389936i | \(-0.872497\pi\) |
0.996270 | − | 0.0862956i | \(-0.0275029\pi\) | |||||||
\(54\) | −24.4336 | − | 33.6300i | −0.452474 | − | 0.622778i | ||||
\(55\) | −24.2153 | + | 49.4242i | −0.440278 | + | 0.898622i | ||||
\(56\) | 22.7539 | + | 16.5317i | 0.406320 | + | 0.295209i | ||||
\(57\) | 32.5472 | + | 32.5472i | 0.571003 | + | 0.571003i | ||||
\(58\) | −63.5539 | + | 10.0660i | −1.09576 | + | 0.173551i | ||||
\(59\) | 61.5688 | + | 20.0049i | 1.04354 | + | 0.339067i | 0.780130 | − | 0.625618i | \(-0.215153\pi\) |
0.263410 | + | 0.964684i | \(0.415153\pi\) | |||||||
\(60\) | −23.3638 | − | 7.18872i | −0.389396 | − | 0.119812i | ||||
\(61\) | 6.86075 | + | 21.1152i | 0.112471 | + | 0.346151i | 0.991411 | − | 0.130781i | \(-0.0417486\pi\) |
−0.878940 | + | 0.476933i | \(0.841749\pi\) | |||||||
\(62\) | −22.8369 | + | 11.6360i | −0.368337 | + | 0.187677i | ||||
\(63\) | −13.6542 | − | 26.7978i | −0.216733 | − | 0.425362i | ||||
\(64\) | 7.60845 | − | 2.47214i | 0.118882 | − | 0.0386271i | ||||
\(65\) | −27.0347 | + | 87.8644i | −0.415919 | + | 1.35176i | ||||
\(66\) | 11.7590 | − | 36.1905i | 0.178167 | − | 0.548341i | ||||
\(67\) | 13.1233 | + | 82.8575i | 0.195871 | + | 1.23668i | 0.868120 | + | 0.496354i | \(0.165328\pi\) |
−0.672249 | + | 0.740325i | \(0.734672\pi\) | |||||||
\(68\) | −22.6052 | + | 22.6052i | −0.332429 | + | 0.332429i | ||||
\(69\) | −4.46344 | + | 6.14339i | −0.0646875 | + | 0.0890347i | ||||
\(70\) | −63.1422 | − | 30.9364i | −0.902031 | − | 0.441948i | ||||
\(71\) | 37.0173 | − | 26.8946i | 0.521370 | − | 0.378797i | −0.295750 | − | 0.955265i | \(-0.595569\pi\) |
0.817120 | + | 0.576468i | \(0.195569\pi\) | |||||||
\(72\) | −8.44946 | − | 1.33826i | −0.117354 | − | 0.0185870i | ||||
\(73\) | −90.4473 | − | 46.0852i | −1.23900 | − | 0.631304i | −0.293203 | − | 0.956050i | \(-0.594721\pi\) |
−0.945801 | + | 0.324746i | \(0.894721\pi\) | |||||||
\(74\) | 32.0160i | 0.432649i | ||||||||
\(75\) | 60.6292 | + | 7.66451i | 0.808389 | + | 0.102193i | ||||
\(76\) | 37.6594 | 0.495519 | ||||||||
\(77\) | 49.6924 | − | 97.5268i | 0.645356 | − | 1.26658i | ||||
\(78\) | 9.94299 | − | 62.7775i | 0.127474 | − | 0.804840i | ||||
\(79\) | 8.49391 | + | 11.6909i | 0.107518 | + | 0.147986i | 0.859385 | − | 0.511329i | \(-0.170847\pi\) |
−0.751867 | + | 0.659315i | \(0.770847\pi\) | |||||||
\(80\) | −17.6757 | + | 9.35784i | −0.220946 | + | 0.116973i | ||||
\(81\) | −36.1071 | − | 26.2333i | −0.445766 | − | 0.323868i | ||||
\(82\) | 22.3870 | + | 22.3870i | 0.273012 | + | 0.273012i | ||||
\(83\) | −1.47391 | + | 0.233445i | −0.0177580 | + | 0.00281259i | −0.165307 | − | 0.986242i | \(-0.552862\pi\) |
0.147549 | + | 0.989055i | \(0.452862\pi\) | |||||||
\(84\) | 46.2354 | + | 15.0228i | 0.550422 | + | 0.178843i | ||||
\(85\) | 45.9580 | − | 65.3857i | 0.540683 | − | 0.769244i | ||||
\(86\) | −17.9103 | − | 55.1223i | −0.208260 | − | 0.640957i | ||||
\(87\) | −99.0998 | + | 50.4939i | −1.13908 | + | 0.580389i | ||||
\(88\) | −14.1345 | − | 27.7405i | −0.160619 | − | 0.315233i | ||||
\(89\) | 148.704 | − | 48.3169i | 1.67083 | − | 0.542887i | 0.687735 | − | 0.725962i | \(-0.258605\pi\) |
0.983099 | + | 0.183076i | \(0.0586053\pi\) | |||||||
\(90\) | 21.3843 | − | 0.335019i | 0.237604 | − | 0.00372243i | ||||
\(91\) | 56.4965 | − | 173.878i | 0.620840 | − | 1.91075i | ||||
\(92\) | 0.971916 | + | 6.13643i | 0.0105643 | + | 0.0667004i | ||||
\(93\) | −31.3264 | + | 31.3264i | −0.336843 | + | 0.336843i | ||||
\(94\) | −41.8027 | + | 57.5365i | −0.444710 | + | 0.612090i | ||||
\(95\) | −92.7474 | + | 16.1829i | −0.976288 | + | 0.170347i | ||||
\(96\) | 11.1871 | − | 8.12790i | 0.116532 | − | 0.0846656i | ||||
\(97\) | 163.897 | + | 25.9588i | 1.68966 | + | 0.267616i | 0.925868 | − | 0.377846i | \(-0.123335\pi\) |
0.763792 | + | 0.645462i | \(0.223335\pi\) | |||||||
\(98\) | 62.8523 | + | 32.0249i | 0.641350 | + | 0.326784i | ||||
\(99\) | 33.2930i | 0.336293i | ||||||||
\(100\) | 39.5104 | − | 30.6420i | 0.395104 | − | 0.306420i | ||||
\(101\) | 72.3213 | 0.716052 | 0.358026 | − | 0.933712i | \(-0.383450\pi\) | ||||
0.358026 | + | 0.933712i | \(0.383450\pi\) | |||||||
\(102\) | −25.0865 | + | 49.2350i | −0.245946 | + | 0.482696i | ||||
\(103\) | −20.8613 | + | 131.713i | −0.202537 | + | 1.27877i | 0.651538 | + | 0.758616i | \(0.274124\pi\) |
−0.854075 | + | 0.520150i | \(0.825876\pi\) | |||||||
\(104\) | −30.5667 | − | 42.0715i | −0.293911 | − | 0.404533i | ||||
\(105\) | −120.324 | − | 17.1298i | −1.14594 | − | 0.163141i | ||||
\(106\) | −29.2380 | − | 21.2426i | −0.275830 | − | 0.200402i | ||||
\(107\) | −103.823 | − | 103.823i | −0.970307 | − | 0.970307i | 0.0292646 | − | 0.999572i | \(-0.490683\pi\) |
−0.999572 | + | 0.0292646i | \(0.990683\pi\) | |||||||
\(108\) | −58.0636 | + | 9.19637i | −0.537626 | + | 0.0851516i | ||||
\(109\) | −172.641 | − | 56.0943i | −1.58386 | − | 0.514627i | −0.620811 | − | 0.783960i | \(-0.713197\pi\) |
−0.963047 | + | 0.269334i | \(0.913197\pi\) | |||||||
\(110\) | 46.7310 | + | 62.2453i | 0.424827 | + | 0.565867i | ||||
\(111\) | 17.1009 | + | 52.6311i | 0.154062 | + | 0.474154i | ||||
\(112\) | 35.4401 | − | 18.0576i | 0.316429 | − | 0.161229i | ||||
\(113\) | −52.7411 | − | 103.510i | −0.466735 | − | 0.916019i | −0.997645 | − | 0.0685908i | \(-0.978150\pi\) |
0.530910 | − | 0.847428i | \(-0.321850\pi\) | |||||||
\(114\) | 61.9084 | − | 20.1153i | 0.543056 | − | 0.176450i | ||||
\(115\) | −5.03056 | − | 14.6951i | −0.0437440 | − | 0.127784i | ||||
\(116\) | −28.1203 | + | 86.5454i | −0.242416 | + | 0.746081i | ||||
\(117\) | 8.69925 | + | 54.9249i | 0.0743525 | + | 0.469444i | ||||
\(118\) | 64.7373 | − | 64.7373i | 0.548621 | − | 0.548621i | ||||
\(119\) | −93.4256 | + | 128.589i | −0.785089 | + | 1.08058i | ||||
\(120\) | −24.0588 | + | 24.8246i | −0.200490 | + | 0.206872i | ||||
\(121\) | −0.133680 | + | 0.0971243i | −0.00110479 | + | 0.000802680i | ||||
\(122\) | 31.0116 | + | 4.91176i | 0.254194 | + | 0.0402603i | ||||
\(123\) | 48.7598 | + | 24.8443i | 0.396421 | + | 0.201987i | ||||
\(124\) | 36.2469i | 0.292314i | ||||||||
\(125\) | −84.1384 | + | 92.4431i | −0.673107 | + | 0.739545i | ||||
\(126\) | −42.5337 | −0.337569 | ||||||||
\(127\) | −40.3403 | + | 79.1723i | −0.317640 | + | 0.623404i | −0.993526 | − | 0.113602i | \(-0.963761\pi\) |
0.675886 | + | 0.737006i | \(0.263761\pi\) | |||||||
\(128\) | 1.76985 | − | 11.1744i | 0.0138270 | − | 0.0873001i | ||||
\(129\) | −58.8856 | − | 81.0491i | −0.456478 | − | 0.628287i | ||||
\(130\) | 93.3583 | + | 90.4782i | 0.718141 | + | 0.695986i | ||||
\(131\) | 78.5965 | + | 57.1037i | 0.599974 | + | 0.435906i | 0.845870 | − | 0.533390i | \(-0.179082\pi\) |
−0.245896 | + | 0.969296i | \(0.579082\pi\) | |||||||
\(132\) | −38.0530 | − | 38.0530i | −0.288280 | − | 0.288280i | ||||
\(133\) | 184.934 | − | 29.2907i | 1.39048 | − | 0.220231i | ||||
\(134\) | 112.832 | + | 36.6614i | 0.842032 | + | 0.273593i | ||||
\(135\) | 139.047 | − | 47.5997i | 1.02998 | − | 0.352590i | ||||
\(136\) | 13.9708 | + | 42.9976i | 0.102726 | + | 0.316159i | ||||
\(137\) | −45.9845 | + | 23.4303i | −0.335653 | + | 0.171024i | −0.613691 | − | 0.789546i | \(-0.710316\pi\) |
0.278038 | + | 0.960570i | \(0.410316\pi\) | |||||||
\(138\) | 4.87542 | + | 9.56856i | 0.0353292 | + | 0.0693374i | ||||
\(139\) | 180.531 | − | 58.6581i | 1.29878 | − | 0.422000i | 0.423626 | − | 0.905837i | \(-0.360757\pi\) |
0.875158 | + | 0.483837i | \(0.160757\pi\) | |||||||
\(140\) | −79.5219 | + | 59.7014i | −0.568014 | + | 0.426439i | ||||
\(141\) | −37.9872 | + | 116.913i | −0.269413 | + | 0.829168i | ||||
\(142\) | −10.1226 | − | 63.9119i | −0.0712862 | − | 0.450084i | ||||
\(143\) | −143.106 | + | 143.106i | −1.00074 | + | 1.00074i | ||||
\(144\) | −7.11120 | + | 9.78773i | −0.0493833 | + | 0.0679703i | ||||
\(145\) | 32.0644 | − | 225.227i | 0.221134 | − | 1.55329i | ||||
\(146\) | −116.141 | + | 84.3817i | −0.795490 | + | 0.577957i | ||||
\(147\) | 120.429 | + | 19.0740i | 0.819243 | + | 0.129755i | ||||
\(148\) | 40.3425 | + | 20.5555i | 0.272584 | + | 0.138889i | ||||
\(149\) | − | 150.434i | − | 1.00962i | −0.863229 | − | 0.504812i | \(-0.831562\pi\) | ||
0.863229 | − | 0.504812i | \(-0.168438\pi\) | |||||||
\(150\) | 48.5842 | − | 71.4763i | 0.323894 | − | 0.476509i | ||||
\(151\) | −183.884 | −1.21777 | −0.608887 | − | 0.793257i | \(-0.708384\pi\) | ||||
−0.608887 | + | 0.793257i | \(0.708384\pi\) | |||||||
\(152\) | 24.1789 | − | 47.4537i | 0.159071 | − | 0.312195i | ||||
\(153\) | 7.56293 | − | 47.7504i | 0.0494309 | − | 0.312094i | ||||
\(154\) | −90.9864 | − | 125.232i | −0.590821 | − | 0.813195i | ||||
\(155\) | −15.5759 | − | 89.2685i | −0.100490 | − | 0.575926i | ||||
\(156\) | −72.7205 | − | 52.8346i | −0.466157 | − | 0.338683i | ||||
\(157\) | −54.7105 | − | 54.7105i | −0.348475 | − | 0.348475i | 0.511067 | − | 0.859541i | \(-0.329251\pi\) |
−0.859541 | + | 0.511067i | \(0.829251\pi\) | |||||||
\(158\) | 20.1848 | − | 3.19696i | 0.127752 | − | 0.0202339i | ||||
\(159\) | −59.4108 | − | 19.3037i | −0.373653 | − | 0.121407i | ||||
\(160\) | 0.443062 | + | 28.2808i | 0.00276914 | + | 0.176755i | ||||
\(161\) | 9.54558 | + | 29.3783i | 0.0592893 | + | 0.182474i | ||||
\(162\) | −56.2381 | + | 28.6547i | −0.347149 | + | 0.176881i | ||||
\(163\) | 39.7594 | + | 78.0323i | 0.243923 | + | 0.478726i | 0.980214 | − | 0.197939i | \(-0.0634248\pi\) |
−0.736291 | + | 0.676665i | \(0.763425\pi\) | |||||||
\(164\) | 42.5826 | − | 13.8359i | 0.259650 | − | 0.0843655i | ||||
\(165\) | 110.069 | + | 77.3645i | 0.667082 | + | 0.468876i | ||||
\(166\) | −0.652152 | + | 2.00712i | −0.00392863 | + | 0.0120911i | ||||
\(167\) | 2.47545 | + | 15.6294i | 0.0148231 | + | 0.0935891i | 0.993991 | − | 0.109464i | \(-0.0349135\pi\) |
−0.979168 | + | 0.203053i | \(0.934914\pi\) | |||||||
\(168\) | 48.6148 | − | 48.6148i | 0.289374 | − | 0.289374i | ||||
\(169\) | −99.3601 | + | 136.757i | −0.587930 | + | 0.809216i | ||||
\(170\) | −52.8840 | − | 99.8907i | −0.311082 | − | 0.587592i | ||||
\(171\) | −46.0751 | + | 33.4755i | −0.269445 | + | 0.195763i | ||||
\(172\) | −80.9573 | − | 12.8224i | −0.470682 | − | 0.0745487i | ||||
\(173\) | 127.937 | + | 65.1871i | 0.739519 | + | 0.376804i | 0.782812 | − | 0.622259i | \(-0.213785\pi\) |
−0.0432926 | + | 0.999062i | \(0.513785\pi\) | |||||||
\(174\) | 157.292i | 0.903978i | ||||||||
\(175\) | 170.191 | − | 181.204i | 0.972521 | − | 1.03545i | ||||
\(176\) | −44.0300 | −0.250171 | ||||||||
\(177\) | 71.8432 | − | 141.000i | 0.405894 | − | 0.796612i | ||||
\(178\) | 34.5911 | − | 218.400i | 0.194332 | − | 1.22696i | ||||
\(179\) | −84.1124 | − | 115.771i | −0.469902 | − | 0.646764i | 0.506623 | − | 0.862168i | \(-0.330893\pi\) |
−0.976525 | + | 0.215403i | \(0.930893\pi\) | |||||||
\(180\) | 13.3074 | − | 27.1609i | 0.0739303 | − | 0.150894i | ||||
\(181\) | 126.013 | + | 91.5538i | 0.696205 | + | 0.505822i | 0.878694 | − | 0.477386i | \(-0.158415\pi\) |
−0.182489 | + | 0.983208i | \(0.558415\pi\) | |||||||
\(182\) | −182.826 | − | 182.826i | −1.00454 | − | 1.00454i | ||||
\(183\) | 53.6036 | − | 8.48997i | 0.292916 | − | 0.0463933i | ||||
\(184\) | 8.35637 | + | 2.71515i | 0.0454150 | + | 0.0147562i | ||||
\(185\) | −108.188 | − | 33.2881i | −0.584801 | − | 0.179936i | ||||
\(186\) | 19.3608 | + | 59.5863i | 0.104090 | + | 0.320356i | ||||
\(187\) | 156.770 | − | 79.8783i | 0.838343 | − | 0.427157i | ||||
\(188\) | 45.6612 | + | 89.6152i | 0.242879 | + | 0.476677i | ||||
\(189\) | −277.981 | + | 90.3214i | −1.47080 | + | 0.477891i | ||||
\(190\) | −39.1558 | + | 127.259i | −0.206083 | + | 0.669782i | ||||
\(191\) | −37.4768 | + | 115.342i | −0.196214 | + | 0.603884i | 0.803746 | + | 0.594972i | \(0.202837\pi\) |
−0.999960 | + | 0.00891211i | \(0.997163\pi\) | |||||||
\(192\) | −3.05919 | − | 19.3150i | −0.0159333 | − | 0.100599i | ||||
\(193\) | 44.3170 | − | 44.3170i | 0.229622 | − | 0.229622i | −0.582913 | − | 0.812535i | \(-0.698087\pi\) |
0.812535 | + | 0.582913i | \(0.198087\pi\) | |||||||
\(194\) | 137.938 | − | 189.856i | 0.711022 | − | 0.978638i | ||||
\(195\) | 201.799 | + | 98.8712i | 1.03487 | + | 0.507032i | ||||
\(196\) | 80.7074 | − | 58.6373i | 0.411772 | − | 0.299170i | ||||
\(197\) | 27.6934 | + | 4.38621i | 0.140576 | + | 0.0222650i | 0.226326 | − | 0.974052i | \(-0.427329\pi\) |
−0.0857499 | + | 0.996317i | \(0.527329\pi\) | |||||||
\(198\) | 41.9517 | + | 21.3754i | 0.211877 | + | 0.107957i | ||||
\(199\) | 62.7744i | 0.315449i | 0.987483 | + | 0.157725i | \(0.0504158\pi\) | ||||
−0.987483 | + | 0.157725i | \(0.949584\pi\) | |||||||
\(200\) | −13.2439 | − | 69.4593i | −0.0662196 | − | 0.347297i | ||||
\(201\) | 205.067 | 1.02024 | ||||||||
\(202\) | 46.4331 | − | 91.1301i | 0.229867 | − | 0.451139i | ||||
\(203\) | −70.7773 | + | 446.870i | −0.348657 | + | 2.20133i | ||||
\(204\) | 45.9332 | + | 63.2216i | 0.225163 | + | 0.309910i | ||||
\(205\) | −98.9266 | + | 52.3736i | −0.482569 | + | 0.255481i | ||||
\(206\) | 152.574 | + | 110.852i | 0.740651 | + | 0.538114i | ||||
\(207\) | −6.64378 | − | 6.64378i | −0.0320956 | − | 0.0320956i | ||||
\(208\) | −72.6382 | + | 11.5048i | −0.349222 | + | 0.0553113i | ||||
\(209\) | −197.124 | − | 64.0494i | −0.943177 | − | 0.306457i | ||||
\(210\) | −98.8375 | + | 140.619i | −0.470655 | + | 0.669613i | ||||
\(211\) | −106.745 | − | 328.527i | −0.505900 | − | 1.55700i | −0.799252 | − | 0.600996i | \(-0.794771\pi\) |
0.293352 | − | 0.956005i | \(-0.405229\pi\) | |||||||
\(212\) | −45.5392 | + | 23.2034i | −0.214807 | + | 0.109450i | ||||
\(213\) | −50.7783 | − | 99.6580i | −0.238396 | − | 0.467878i | ||||
\(214\) | −197.483 | + | 64.1661i | −0.922817 | + | 0.299841i | ||||
\(215\) | 204.891 | − | 3.20993i | 0.952981 | − | 0.0149299i | ||||
\(216\) | −25.6910 | + | 79.0689i | −0.118940 | + | 0.366060i | ||||
\(217\) | 28.1921 | + | 177.998i | 0.129917 | + | 0.820266i | ||||
\(218\) | −181.525 | + | 181.525i | −0.832683 | + | 0.832683i | ||||
\(219\) | −145.854 | + | 200.751i | −0.665999 | + | 0.916669i | ||||
\(220\) | 108.437 | − | 18.9205i | 0.492895 | − | 0.0860022i | ||||
\(221\) | 237.758 | − | 172.742i | 1.07583 | − | 0.781636i | ||||
\(222\) | 77.2985 | + | 12.2429i | 0.348192 | + | 0.0551481i | ||||
\(223\) | −226.547 | − | 115.431i | −1.01590 | − | 0.517629i | −0.134961 | − | 0.990851i | \(-0.543091\pi\) |
−0.880943 | + | 0.473222i | \(0.843091\pi\) | |||||||
\(224\) | − | 56.2508i | − | 0.251120i | ||||||
\(225\) | −21.1019 | + | 72.6102i | −0.0937864 | + | 0.322712i | ||||
\(226\) | −164.292 | −0.726957 | ||||||||
\(227\) | −75.3953 | + | 147.972i | −0.332138 | + | 0.651857i | −0.995324 | − | 0.0965977i | \(-0.969204\pi\) |
0.663186 | + | 0.748455i | \(0.269204\pi\) | |||||||
\(228\) | 14.4009 | − | 90.9239i | 0.0631620 | − | 0.398789i | ||||
\(229\) | 121.840 | + | 167.699i | 0.532053 | + | 0.732308i | 0.987442 | − | 0.157984i | \(-0.0504996\pi\) |
−0.455388 | + | 0.890293i | \(0.650500\pi\) | |||||||
\(230\) | −21.7467 | − | 3.09597i | −0.0945510 | − | 0.0134607i | ||||
\(231\) | −216.464 | − | 157.270i | −0.937072 | − | 0.680823i | ||||
\(232\) | 90.9992 | + | 90.9992i | 0.392238 | + | 0.392238i | ||||
\(233\) | 32.3059 | − | 5.11675i | 0.138652 | − | 0.0219603i | −0.0867228 | − | 0.996232i | \(-0.527639\pi\) |
0.225375 | + | 0.974272i | \(0.427639\pi\) | |||||||
\(234\) | 74.7947 | + | 24.3023i | 0.319635 | + | 0.103856i | ||||
\(235\) | −150.963 | − | 201.082i | −0.642397 | − | 0.855669i | ||||
\(236\) | −40.0099 | − | 123.138i | −0.169533 | − | 0.521770i | ||||
\(237\) | 31.4742 | − | 16.0369i | 0.132802 | − | 0.0676662i | ||||
\(238\) | 102.049 | + | 200.283i | 0.428778 | + | 0.841523i | ||||
\(239\) | 355.191 | − | 115.408i | 1.48615 | − | 0.482880i | 0.550208 | − | 0.835027i | \(-0.314548\pi\) |
0.935945 | + | 0.352147i | \(0.114548\pi\) | |||||||
\(240\) | 15.8341 | + | 46.2542i | 0.0659756 | + | 0.192726i | ||||
\(241\) | −101.900 | + | 313.615i | −0.422820 | + | 1.30131i | 0.482247 | + | 0.876035i | \(0.339821\pi\) |
−0.905067 | + | 0.425270i | \(0.860179\pi\) | |||||||
\(242\) | 0.0365558 | + | 0.230804i | 0.000151057 | + | 0.000953737i | ||||
\(243\) | 109.916 | − | 109.916i | 0.452329 | − | 0.452329i | ||||
\(244\) | 26.0999 | − | 35.9234i | 0.106967 | − | 0.147227i | ||||
\(245\) | −173.568 | + | 179.093i | −0.708441 | + | 0.730992i | ||||
\(246\) | 62.6114 | − | 45.4898i | 0.254518 | − | 0.184918i | ||||
\(247\) | −341.939 | − | 54.1578i | −1.38437 | − | 0.219263i | ||||
\(248\) | 45.6737 | + | 23.2719i | 0.184168 | + | 0.0938384i | ||||
\(249\) | 3.64784i | 0.0146500i | ||||||||
\(250\) | 62.4649 | + | 165.373i | 0.249860 | + | 0.661491i | ||||
\(251\) | 185.207 | 0.737877 | 0.368939 | − | 0.929454i | \(-0.379721\pi\) | ||||
0.368939 | + | 0.929454i | \(0.379721\pi\) | |||||||
\(252\) | −27.3083 | + | 53.5956i | −0.108366 | + | 0.212681i | ||||
\(253\) | 5.34918 | − | 33.7734i | 0.0211430 | − | 0.133492i | ||||
\(254\) | 73.8629 | + | 101.664i | 0.290799 | + | 0.400250i | ||||
\(255\) | −140.291 | − | 135.963i | −0.550162 | − | 0.533189i | ||||
\(256\) | −12.9443 | − | 9.40456i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 14.4526 | + | 14.4526i | 0.0562359 | + | 0.0562359i | 0.734665 | − | 0.678430i | \(-0.237339\pi\) |
−0.678430 | + | 0.734665i | \(0.737339\pi\) | |||||||
\(258\) | −139.935 | + | 22.1635i | −0.542382 | + | 0.0859049i | ||||
\(259\) | 214.098 | + | 69.5646i | 0.826633 | + | 0.268589i | ||||
\(260\) | 173.949 | − | 59.5477i | 0.669034 | − | 0.229030i | ||||
\(261\) | −42.5260 | − | 130.881i | −0.162935 | − | 0.501461i | ||||
\(262\) | 122.417 | − | 62.3746i | 0.467240 | − | 0.238071i | ||||
\(263\) | −92.5157 | − | 181.572i | −0.351771 | − | 0.690389i | 0.645536 | − | 0.763730i | \(-0.276634\pi\) |
−0.997307 | + | 0.0733408i | \(0.976634\pi\) | |||||||
\(264\) | −72.3810 | + | 23.5180i | −0.274171 | + | 0.0890834i | ||||
\(265\) | 102.183 | − | 76.7141i | 0.385595 | − | 0.289487i | ||||
\(266\) | 81.8268 | − | 251.837i | 0.307619 | − | 0.946755i | ||||
\(267\) | −59.7907 | − | 377.504i | −0.223935 | − | 1.41387i | ||||
\(268\) | 118.639 | − | 118.639i | 0.442682 | − | 0.442682i | ||||
\(269\) | 211.695 | − | 291.373i | 0.786970 | − | 1.08317i | −0.207508 | − | 0.978233i | \(-0.566535\pi\) |
0.994479 | − | 0.104938i | \(-0.0334646\pi\) | |||||||
\(270\) | 29.2944 | − | 205.770i | 0.108498 | − | 0.762111i | ||||
\(271\) | −71.8286 | + | 52.1865i | −0.265050 | + | 0.192570i | −0.712370 | − | 0.701804i | \(-0.752378\pi\) |
0.447320 | + | 0.894374i | \(0.352378\pi\) | |||||||
\(272\) | 63.1500 | + | 10.0020i | 0.232169 | + | 0.0367720i | ||||
\(273\) | −398.203 | − | 202.894i | −1.45862 | − | 0.743203i | ||||
\(274\) | 72.9870i | 0.266376i | ||||||||
\(275\) | −258.927 | + | 93.1944i | −0.941552 | + | 0.338889i | ||||
\(276\) | 15.1873 | 0.0550264 | ||||||||
\(277\) | −145.086 | + | 284.747i | −0.523776 | + | 1.02797i | 0.465926 | + | 0.884824i | \(0.345721\pi\) |
−0.989702 | + | 0.143145i | \(0.954279\pi\) | |||||||
\(278\) | 41.9945 | − | 265.143i | 0.151059 | − | 0.953752i | ||||
\(279\) | −32.2199 | − | 44.3468i | −0.115483 | − | 0.158949i | ||||
\(280\) | 24.1720 | + | 138.534i | 0.0863285 | + | 0.494765i | ||||
\(281\) | 206.619 | + | 150.117i | 0.735298 | + | 0.534225i | 0.891235 | − | 0.453542i | \(-0.149840\pi\) |
−0.155937 | + | 0.987767i | \(0.549840\pi\) | |||||||
\(282\) | 122.929 | + | 122.929i | 0.435919 | + | 0.435919i | ||||
\(283\) | −1.82209 | + | 0.288591i | −0.00643848 | + | 0.00101975i | −0.159653 | − | 0.987173i | \(-0.551037\pi\) |
0.153214 | + | 0.988193i | \(0.451037\pi\) | |||||||
\(284\) | −87.0328 | − | 28.2787i | −0.306454 | − | 0.0995728i | ||||
\(285\) | 3.60511 | + | 230.115i | 0.0126495 | + | 0.807421i | ||||
\(286\) | 88.4446 | + | 272.205i | 0.309247 | + | 0.951764i | ||||
\(287\) | 198.350 | − | 101.064i | 0.691113 | − | 0.352140i | ||||
\(288\) | 7.76759 | + | 15.2447i | 0.0269708 | + | 0.0529331i | ||||
\(289\) | 31.8629 | − | 10.3529i | 0.110252 | − | 0.0358231i | ||||
\(290\) | −263.216 | − | 185.008i | −0.907641 | − | 0.637959i | ||||
\(291\) | 125.348 | − | 385.782i | 0.430750 | − | 1.32571i | ||||
\(292\) | 31.7598 | + | 200.523i | 0.108766 | + | 0.686723i | ||||
\(293\) | 195.770 | − | 195.770i | 0.668157 | − | 0.668157i | −0.289132 | − | 0.957289i | \(-0.593367\pi\) |
0.957289 | + | 0.289132i | \(0.0933666\pi\) | |||||||
\(294\) | 101.355 | − | 139.503i | 0.344744 | − | 0.474499i | ||||
\(295\) | 151.450 | + | 286.069i | 0.513391 | + | 0.969727i | ||||
\(296\) | 51.8030 | − | 37.6371i | 0.175010 | − | 0.127152i | ||||
\(297\) | 319.568 | + | 50.6146i | 1.07599 | + | 0.170419i | ||||
\(298\) | −189.558 | − | 96.5845i | −0.636100 | − | 0.324109i | ||||
\(299\) | − | 57.1151i | − | 0.191020i | ||||||
\(300\) | −58.8724 | − | 107.110i | −0.196241 | − | 0.357034i | ||||
\(301\) | −407.530 | −1.35392 | ||||||||
\(302\) | −118.061 | + | 231.707i | −0.390929 | + | 0.767242i | ||||
\(303\) | 27.6556 | − | 174.611i | 0.0912726 | − | 0.576272i | ||||
\(304\) | −44.2713 | − | 60.9343i | −0.145629 | − | 0.200442i | ||||
\(305\) | −48.8416 | + | 99.6874i | −0.160136 | + | 0.326844i | ||||
\(306\) | −55.3134 | − | 40.1875i | −0.180763 | − | 0.131332i | ||||
\(307\) | 85.4904 | + | 85.4904i | 0.278470 | + | 0.278470i | 0.832498 | − | 0.554028i | \(-0.186910\pi\) |
−0.554028 | + | 0.832498i | \(0.686910\pi\) | |||||||
\(308\) | −216.219 | + | 34.2457i | −0.702008 | + | 0.111187i | ||||
\(309\) | 310.027 | + | 100.734i | 1.00332 | + | 0.325999i | ||||
\(310\) | −122.485 | − | 37.6871i | −0.395114 | − | 0.121571i | ||||
\(311\) | 81.8905 | + | 252.033i | 0.263314 | + | 0.810396i | 0.992077 | + | 0.125631i | \(0.0400954\pi\) |
−0.728763 | + | 0.684766i | \(0.759905\pi\) | |||||||
\(312\) | −113.265 | + | 57.7113i | −0.363028 | + | 0.184972i | ||||
\(313\) | 59.0953 | + | 115.981i | 0.188803 | + | 0.370547i | 0.965933 | − | 0.258794i | \(-0.0833250\pi\) |
−0.777130 | + | 0.629341i | \(0.783325\pi\) | |||||||
\(314\) | −104.066 | + | 33.8130i | −0.331419 | + | 0.107685i | ||||
\(315\) | 44.2237 | − | 143.730i | 0.140393 | − | 0.456285i | ||||
\(316\) | 8.93103 | − | 27.4869i | 0.0282628 | − | 0.0869838i | ||||
\(317\) | −16.9063 | − | 106.742i | −0.0533321 | − | 0.336726i | −0.999899 | − | 0.0142179i | \(-0.995474\pi\) |
0.946567 | − | 0.322508i | \(-0.104526\pi\) | |||||||
\(318\) | −62.4682 | + | 62.4682i | −0.196441 | + | 0.196441i | ||||
\(319\) | 294.385 | − | 405.186i | 0.922836 | − | 1.27017i | ||||
\(320\) | 35.9204 | + | 17.5991i | 0.112251 | + | 0.0549972i | ||||
\(321\) | −290.369 | + | 210.965i | −0.904576 | + | 0.657213i | ||||
\(322\) | 43.1474 | + | 6.83388i | 0.133998 | + | 0.0212232i | ||||
\(323\) | 268.175 | + | 136.642i | 0.830263 | + | 0.423040i | ||||
\(324\) | 89.2616i | 0.275499i | ||||||||
\(325\) | −402.811 | + | 221.403i | −1.23942 | + | 0.681239i | ||||
\(326\) | 123.854 | 0.379919 | ||||||||
\(327\) | −201.450 | + | 395.368i | −0.616055 | + | 1.20908i | ||||
\(328\) | 9.90544 | − | 62.5405i | 0.0301995 | − | 0.190672i | ||||
\(329\) | 293.930 | + | 404.559i | 0.893403 | + | 1.22966i | ||||
\(330\) | 168.153 | − | 89.0234i | 0.509555 | − | 0.269768i | ||||
\(331\) | −286.033 | − | 207.815i | −0.864147 | − | 0.627839i | 0.0648632 | − | 0.997894i | \(-0.479339\pi\) |
−0.929010 | + | 0.370055i | \(0.879339\pi\) | |||||||
\(332\) | 2.11041 | + | 2.11041i | 0.00635665 | + | 0.00635665i | ||||
\(333\) | −67.6295 | + | 10.7115i | −0.203092 | + | 0.0321665i | ||||
\(334\) | 21.2835 | + | 6.91543i | 0.0637231 | + | 0.0207049i | ||||
\(335\) | −241.202 | + | 343.164i | −0.720005 | + | 1.02437i | ||||
\(336\) | −30.0456 | − | 92.4708i | −0.0894214 | − | 0.275211i | ||||
\(337\) | −294.583 | + | 150.098i | −0.874134 | + | 0.445393i | −0.832685 | − | 0.553747i | \(-0.813197\pi\) |
−0.0414489 | + | 0.999141i | \(0.513197\pi\) | |||||||
\(338\) | 108.531 | + | 213.005i | 0.321099 | + | 0.630191i | ||||
\(339\) | −270.080 | + | 87.7544i | −0.796697 | + | 0.258863i | ||||
\(340\) | −159.823 | + | 2.50388i | −0.470068 | + | 0.00736434i | ||||
\(341\) | 61.6470 | − | 189.730i | 0.180783 | − | 0.556393i | ||||
\(342\) | 12.5996 | + | 79.5505i | 0.0368408 | + | 0.232604i | ||||
\(343\) | 6.18691 | − | 6.18691i | 0.0180376 | − | 0.0180376i | ||||
\(344\) | −68.1349 | + | 93.7797i | −0.198067 | + | 0.272615i | ||||
\(345\) | −37.4032 | + | 6.52625i | −0.108415 | + | 0.0189167i | ||||
\(346\) | 164.281 | − | 119.357i | 0.474801 | − | 0.344963i | ||||
\(347\) | −153.702 | − | 24.3441i | −0.442947 | − | 0.0701559i | −0.0690224 | − | 0.997615i | \(-0.521988\pi\) |
−0.373924 | + | 0.927459i | \(0.621988\pi\) | |||||||
\(348\) | 198.200 | + | 100.988i | 0.569539 | + | 0.290195i | ||||
\(349\) | − | 260.036i | − | 0.745088i | −0.928015 | − | 0.372544i | \(-0.878486\pi\) | ||
0.928015 | − | 0.372544i | \(-0.121514\pi\) | |||||||
\(350\) | −119.061 | − | 330.793i | −0.340174 | − | 0.945124i | ||||
\(351\) | 540.430 | 1.53969 | ||||||||
\(352\) | −28.2690 | + | 55.4811i | −0.0803097 | + | 0.157617i | ||||
\(353\) | −52.4758 | + | 331.319i | −0.148657 | + | 0.938581i | 0.794749 | + | 0.606939i | \(0.207603\pi\) |
−0.943405 | + | 0.331642i | \(0.892397\pi\) | |||||||
\(354\) | −131.545 | − | 181.055i | −0.371595 | − | 0.511456i | ||||
\(355\) | 226.496 | + | 32.2450i | 0.638016 | + | 0.0908309i | ||||
\(356\) | −252.991 | − | 183.808i | −0.710648 | − | 0.516316i | ||||
\(357\) | 274.737 | + | 274.737i | 0.769571 | + | 0.769571i | ||||
\(358\) | −199.883 | + | 31.6584i | −0.558333 | + | 0.0884313i | ||||
\(359\) | 61.8646 | + | 20.1010i | 0.172325 | + | 0.0559917i | 0.393909 | − | 0.919150i | \(-0.371123\pi\) |
−0.221584 | + | 0.975141i | \(0.571123\pi\) | |||||||
\(360\) | −25.6809 | − | 34.2068i | −0.0713358 | − | 0.0950188i | ||||
\(361\) | 1.99054 | + | 6.12624i | 0.00551395 | + | 0.0169702i | ||||
\(362\) | 196.270 | − | 100.005i | 0.542182 | − | 0.276256i | ||||
\(363\) | 0.183375 | + | 0.359894i | 0.000505165 | + | 0.000991443i | ||||
\(364\) | −347.757 | + | 112.993i | −0.955375 | + | 0.310420i | ||||
\(365\) | −164.386 | − | 480.199i | −0.450373 | − | 1.31561i | ||||
\(366\) | 23.7176 | − | 72.9954i | 0.0648023 | − | 0.199441i | ||||
\(367\) | 5.39410 | + | 34.0570i | 0.0146978 | + | 0.0927984i | 0.993947 | − | 0.109863i | \(-0.0350411\pi\) |
−0.979249 | + | 0.202661i | \(0.935041\pi\) | |||||||
\(368\) | 8.78640 | − | 8.78640i | 0.0238761 | − | 0.0238761i | ||||
\(369\) | −39.7997 | + | 54.7795i | −0.107858 | + | 0.148454i | ||||
\(370\) | −111.407 | + | 114.953i | −0.301099 | + | 0.310683i | ||||
\(371\) | −205.582 | + | 149.364i | −0.554131 | + | 0.402599i | ||||
\(372\) | 87.5135 | + | 13.8608i | 0.235251 | + | 0.0372601i | ||||
\(373\) | 91.2870 | + | 46.5130i | 0.244737 | + | 0.124700i | 0.572057 | − | 0.820214i | \(-0.306146\pi\) |
−0.327320 | + | 0.944914i | \(0.606146\pi\) | |||||||
\(374\) | − | 248.827i | − | 0.665312i | ||||||
\(375\) | 191.018 | + | 238.492i | 0.509380 | + | 0.635978i | ||||
\(376\) | 142.238 | 0.378293 | ||||||||
\(377\) | 379.786 | − | 745.373i | 1.00739 | − | 1.97712i | ||||
\(378\) | −64.6630 | + | 408.266i | −0.171066 | + | 1.08007i | ||||
\(379\) | 310.779 | + | 427.751i | 0.819998 | + | 1.12863i | 0.989703 | + | 0.143135i | \(0.0457184\pi\) |
−0.169705 | + | 0.985495i | \(0.554282\pi\) | |||||||
\(380\) | 135.216 | + | 131.044i | 0.355831 | + | 0.344853i | ||||
\(381\) | 175.725 | + | 127.672i | 0.461222 | + | 0.335097i | ||||
\(382\) | 121.278 | + | 121.278i | 0.317481 | + | 0.317481i | ||||
\(383\) | 185.725 | − | 29.4160i | 0.484922 | − | 0.0768041i | 0.0908134 | − | 0.995868i | \(-0.471053\pi\) |
0.394109 | + | 0.919064i | \(0.371053\pi\) | |||||||
\(384\) | −26.3024 | − | 8.54617i | −0.0684959 | − | 0.0222557i | ||||
\(385\) | 517.785 | − | 177.253i | 1.34490 | − | 0.460397i | ||||
\(386\) | −27.3894 | − | 84.2960i | −0.0709571 | − | 0.218383i | ||||
\(387\) | 110.446 | − | 56.2752i | 0.285391 | − | 0.145414i | ||||
\(388\) | −150.670 | − | 295.707i | −0.388326 | − | 0.762133i | ||||
\(389\) | −506.513 | + | 164.576i | −1.30209 | + | 0.423074i | −0.876308 | − | 0.481752i | \(-0.840001\pi\) |
−0.425781 | + | 0.904826i | \(0.640001\pi\) | |||||||
\(390\) | 254.148 | − | 190.803i | 0.651662 | − | 0.489238i | ||||
\(391\) | −15.3441 | + | 47.2243i | −0.0392433 | + | 0.120778i | ||||
\(392\) | −22.0700 | − | 139.345i | −0.0563011 | − | 0.355471i | ||||
\(393\) | 167.925 | − | 167.925i | 0.427290 | − | 0.427290i | ||||
\(394\) | 23.3072 | − | 32.0796i | 0.0591554 | − | 0.0814204i | ||||
\(395\) | −10.1837 | + | 71.5323i | −0.0257814 | + | 0.181094i | ||||
\(396\) | 53.8692 | − | 39.1383i | 0.136033 | − | 0.0988341i | ||||
\(397\) | −565.368 | − | 89.5455i | −1.42410 | − | 0.225555i | −0.603639 | − | 0.797257i | \(-0.706283\pi\) |
−0.820461 | + | 0.571702i | \(0.806283\pi\) | |||||||
\(398\) | 79.1004 | + | 40.3036i | 0.198745 | + | 0.101265i | ||||
\(399\) | − | 457.702i | − | 1.14712i | ||||||
\(400\) | −96.0270 | − | 27.9073i | −0.240067 | − | 0.0697683i | ||||
\(401\) | −455.895 | −1.13689 | −0.568447 | − | 0.822720i | \(-0.692456\pi\) | ||||
−0.568447 | + | 0.822720i | \(0.692456\pi\) | |||||||
\(402\) | 131.661 | − | 258.400i | 0.327516 | − | 0.642786i | ||||
\(403\) | 52.1264 | − | 329.113i | 0.129346 | − | 0.816658i | ||||
\(404\) | −85.0188 | − | 117.018i | −0.210443 | − | 0.289649i | ||||
\(405\) | −38.3573 | − | 219.833i | −0.0947093 | − | 0.542797i | ||||
\(406\) | 517.648 | + | 376.093i | 1.27499 | + | 0.926337i | ||||
\(407\) | −176.208 | − | 176.208i | −0.432944 | − | 0.432944i | ||||
\(408\) | 109.155 | − | 17.2884i | 0.267536 | − | 0.0423736i | ||||
\(409\) | −355.067 | − | 115.368i | −0.868134 | − | 0.282074i | −0.159112 | − | 0.987261i | \(-0.550863\pi\) |
−0.709022 | + | 0.705187i | \(0.750863\pi\) | |||||||
\(410\) | 2.47971 | + | 158.281i | 0.00604808 | + | 0.386051i | ||||
\(411\) | 38.9850 | + | 119.983i | 0.0948540 | + | 0.291931i | ||||
\(412\) | 237.640 | − | 121.083i | 0.576795 | − | 0.293892i | ||||
\(413\) | −292.251 | − | 573.574i | −0.707629 | − | 1.38880i | ||||
\(414\) | −12.6372 | + | 4.10608i | −0.0305247 | + | 0.00991808i | ||||
\(415\) | −6.10438 | − | 4.29062i | −0.0147093 | − | 0.0103388i | ||||
\(416\) | −32.1397 | + | 98.9159i | −0.0772590 | + | 0.237779i | ||||
\(417\) | −72.5876 | − | 458.300i | −0.174071 | − | 1.09904i | ||||
\(418\) | −207.268 | + | 207.268i | −0.495857 | + | 0.495857i | ||||
\(419\) | −353.750 | + | 486.895i | −0.844272 | + | 1.16204i | 0.140824 | + | 0.990035i | \(0.455025\pi\) |
−0.985096 | + | 0.172006i | \(0.944975\pi\) | |||||||
\(420\) | 113.732 | + | 214.825i | 0.270791 | + | 0.511489i | ||||
\(421\) | 103.378 | − | 75.1084i | 0.245553 | − | 0.178405i | −0.458201 | − | 0.888849i | \(-0.651506\pi\) |
0.703754 | + | 0.710444i | \(0.251506\pi\) | |||||||
\(422\) | −482.503 | − | 76.4209i | −1.14337 | − | 0.181092i | ||||
\(423\) | −135.524 | − | 69.0529i | −0.320387 | − | 0.163246i | ||||
\(424\) | 72.2802i | 0.170472i | ||||||||
\(425\) | 392.535 | − | 74.8454i | 0.923613 | − | 0.176107i | ||||
\(426\) | −158.178 | −0.371310 | ||||||||
\(427\) | 100.228 | − | 196.709i | 0.234727 | − | 0.460677i | ||||
\(428\) | −45.9378 | + | 290.040i | −0.107331 | + | 0.677664i | ||||
\(429\) | 290.788 | + | 400.236i | 0.677829 | + | 0.932951i | ||||
\(430\) | 127.503 | − | 260.239i | 0.296519 | − | 0.605206i | ||||
\(431\) | −24.2496 | − | 17.6184i | −0.0562636 | − | 0.0408779i | 0.559298 | − | 0.828967i | \(-0.311071\pi\) |
−0.615562 | + | 0.788089i | \(0.711071\pi\) | |||||||
\(432\) | 83.1379 | + | 83.1379i | 0.192449 | + | 0.192449i | ||||
\(433\) | 320.096 | − | 50.6983i | 0.739253 | − | 0.117086i | 0.224559 | − | 0.974460i | \(-0.427906\pi\) |
0.514693 | + | 0.857374i | \(0.327906\pi\) | |||||||
\(434\) | 242.391 | + | 78.7575i | 0.558504 | + | 0.181469i | ||||
\(435\) | −531.521 | − | 163.542i | −1.22189 | − | 0.375958i | ||||
\(436\) | 112.189 | + | 345.281i | 0.257313 | + | 0.791929i | ||||
\(437\) | 52.1184 | − | 26.5556i | 0.119264 | − | 0.0607681i | ||||
\(438\) | 159.317 | + | 312.676i | 0.363736 | + | 0.713873i | ||||
\(439\) | −419.087 | + | 136.170i | −0.954640 | + | 0.310181i | −0.744600 | − | 0.667511i | \(-0.767360\pi\) |
−0.210041 | + | 0.977693i | \(0.567360\pi\) | |||||||
\(440\) | 45.7795 | − | 148.786i | 0.104044 | − | 0.338150i | ||||
\(441\) | −46.6200 | + | 143.482i | −0.105714 | + | 0.325355i | ||||
\(442\) | −65.0168 | − | 410.500i | −0.147097 | − | 0.928733i | ||||
\(443\) | −284.421 | + | 284.421i | −0.642035 | + | 0.642035i | −0.951055 | − | 0.309020i | \(-0.899999\pi\) |
0.309020 | + | 0.951055i | \(0.399999\pi\) | |||||||
\(444\) | 65.0557 | − | 89.5414i | 0.146522 | − | 0.201670i | ||||
\(445\) | 702.049 | + | 343.967i | 1.57764 | + | 0.772961i | ||||
\(446\) | −290.904 | + | 211.354i | −0.652251 | + | 0.473888i | ||||
\(447\) | −363.204 | − | 57.5258i | −0.812536 | − | 0.128693i | ||||
\(448\) | −70.8802 | − | 36.1153i | −0.158215 | − | 0.0806144i | ||||
\(449\) | − | 191.921i | − | 0.427441i | −0.976895 | − | 0.213720i | \(-0.931442\pi\) | ||
0.976895 | − | 0.213720i | \(-0.0685581\pi\) | |||||||
\(450\) | 77.9459 | + | 73.2086i | 0.173213 | + | 0.162686i | ||||
\(451\) | −246.425 | −0.546398 | ||||||||
\(452\) | −105.482 | + | 207.020i | −0.233368 | + | 0.458010i | ||||
\(453\) | −70.3170 | + | 443.964i | −0.155225 | + | 0.980053i | ||||
\(454\) | 138.048 | + | 190.007i | 0.304071 | + | 0.418518i | ||||
\(455\) | 807.897 | − | 427.715i | 1.77560 | − | 0.940033i | ||||
\(456\) | −105.325 | − | 76.5230i | −0.230976 | − | 0.167814i | ||||
\(457\) | 66.8253 | + | 66.8253i | 0.146226 | + | 0.146226i | 0.776430 | − | 0.630204i | \(-0.217029\pi\) |
−0.630204 | + | 0.776430i | \(0.717029\pi\) | |||||||
\(458\) | 289.539 | − | 45.8584i | 0.632181 | − | 0.100128i | ||||
\(459\) | −446.842 | − | 145.188i | −0.973511 | − | 0.316313i | ||||
\(460\) | −17.8634 | + | 25.4148i | −0.0388335 | + | 0.0552495i | ||||
\(461\) | −39.1750 | − | 120.568i | −0.0849782 | − | 0.261536i | 0.899534 | − | 0.436850i | \(-0.143906\pi\) |
−0.984513 | + | 0.175314i | \(0.943906\pi\) | |||||||
\(462\) | −337.150 | + | 171.787i | −0.729762 | + | 0.371832i | ||||
\(463\) | 135.437 | + | 265.811i | 0.292521 | + | 0.574105i | 0.989761 | − | 0.142732i | \(-0.0455888\pi\) |
−0.697240 | + | 0.716838i | \(0.745589\pi\) | |||||||
\(464\) | 173.091 | − | 56.2406i | 0.373040 | − | 0.121208i | ||||
\(465\) | −221.484 | + | 3.46988i | −0.476309 | + | 0.00746211i | ||||
\(466\) | 14.2942 | − | 43.9929i | 0.0306742 | − | 0.0944054i | ||||
\(467\) | 47.0084 | + | 296.799i | 0.100660 | + | 0.635544i | 0.985503 | + | 0.169655i | \(0.0542654\pi\) |
−0.884843 | + | 0.465889i | \(0.845735\pi\) | |||||||
\(468\) | 78.6438 | − | 78.6438i | 0.168042 | − | 0.168042i | ||||
\(469\) | 490.326 | − | 674.875i | 1.04547 | − | 1.43897i | ||||
\(470\) | −350.303 | + | 61.1222i | −0.745325 | + | 0.130047i | ||||
\(471\) | −153.013 | + | 111.170i | −0.324868 | + | 0.236030i | ||||
\(472\) | −180.850 | − | 28.6439i | −0.383158 | − | 0.0606862i | ||||
\(473\) | 401.954 | + | 204.806i | 0.849796 | + | 0.432993i | ||||
\(474\) | − | 49.9561i | − | 0.105393i | ||||||
\(475\) | −389.320 | − | 264.630i | −0.819621 | − | 0.557116i | ||||
\(476\) | 317.890 | 0.667837 | ||||||||
\(477\) | 35.0902 | − | 68.8683i | 0.0735643 | − | 0.144378i | ||||
\(478\) | 82.6233 | − | 521.663i | 0.172852 | − | 1.09135i | ||||
\(479\) | 114.943 | + | 158.205i | 0.239964 | + | 0.330282i | 0.911965 | − | 0.410268i | \(-0.134565\pi\) |
−0.672001 | + | 0.740550i | \(0.734565\pi\) | |||||||
\(480\) | 68.4498 | + | 9.74484i | 0.142604 | + | 0.0203017i | ||||
\(481\) | −336.740 | − | 244.656i | −0.700083 | − | 0.508640i | ||||
\(482\) | 329.754 | + | 329.754i | 0.684137 | + | 0.684137i | ||||
\(483\) | 74.5804 | − | 11.8124i | 0.154411 | − | 0.0244563i | ||||
\(484\) | 0.314301 | + | 0.102122i | 0.000649382 | + | 0.000210997i | ||||
\(485\) | 498.141 | + | 663.520i | 1.02709 | + | 1.36808i | ||||
\(486\) | −67.9318 | − | 209.073i | −0.139777 | − | 0.430191i | ||||
\(487\) | 303.438 | − | 154.610i | 0.623077 | − | 0.317473i | −0.113797 | − | 0.993504i | \(-0.536301\pi\) |
0.736874 | + | 0.676031i | \(0.236301\pi\) | |||||||
\(488\) | −28.5090 | − | 55.9520i | −0.0584200 | − | 0.114656i | ||||
\(489\) | 203.603 | − | 66.1546i | 0.416366 | − | 0.135286i | ||||
\(490\) | 114.233 | + | 333.693i | 0.233128 | + | 0.681006i | ||||
\(491\) | −226.895 | + | 698.310i | −0.462107 | + | 1.42222i | 0.400477 | + | 0.916307i | \(0.368844\pi\) |
−0.862585 | + | 0.505913i | \(0.831156\pi\) | |||||||
\(492\) | −17.1216 | − | 108.101i | −0.0347999 | − | 0.219718i | ||||
\(493\) | −514.264 | + | 514.264i | −1.04313 | + | 1.04313i | ||||
\(494\) | −287.781 | + | 396.097i | −0.582553 | + | 0.801816i | ||||
\(495\) | −115.850 | + | 119.538i | −0.234041 | + | 0.241491i | ||||
\(496\) | 58.6487 | − | 42.6108i | 0.118243 | − | 0.0859088i | ||||
\(497\) | −449.387 | − | 71.1759i | −0.904199 | − | 0.143211i | ||||
\(498\) | 4.59655 | + | 2.34206i | 0.00923002 | + | 0.00470293i | ||||
\(499\) | 325.615i | 0.652535i | 0.945278 | + | 0.326267i | \(0.105791\pi\) | ||||
−0.945278 | + | 0.326267i | \(0.894209\pi\) | |||||||
\(500\) | 248.487 | + | 27.4654i | 0.496973 | + | 0.0549308i | ||||
\(501\) | 38.6818 | 0.0772091 | ||||||||
\(502\) | 118.910 | − | 233.375i | 0.236873 | − | 0.464890i | ||||
\(503\) | 76.8730 | − | 485.357i | 0.152829 | − | 0.964925i | −0.785420 | − | 0.618963i | \(-0.787553\pi\) |
0.938249 | − | 0.345961i | \(-0.112447\pi\) | |||||||
\(504\) | 50.0014 | + | 68.8210i | 0.0992091 | + | 0.136550i | ||||
\(505\) | 259.668 | + | 251.658i | 0.514195 | + | 0.498332i | ||||
\(506\) | −39.1226 | − | 28.4242i | −0.0773174 | − | 0.0561744i | ||||
\(507\) | 292.188 | + | 292.188i | 0.576308 | + | 0.576308i | ||||
\(508\) | 175.526 | − | 27.8007i | 0.345524 | − | 0.0547257i | ||||
\(509\) | −740.771 | − | 240.691i | −1.45535 | − | 0.472870i | −0.528701 | − | 0.848808i | \(-0.677321\pi\) |
−0.926645 | + | 0.375938i | \(0.877321\pi\) | |||||||
\(510\) | −261.396 | + | 89.4835i | −0.512542 | + | 0.175458i | ||||
\(511\) | 311.926 | + | 960.009i | 0.610422 | + | 1.87869i | ||||
\(512\) | −20.1612 | + | 10.2726i | −0.0393773 | + | 0.0200637i | ||||
\(513\) | 251.272 | + | 493.150i | 0.489810 | + | 0.961306i | ||||
\(514\) | 27.4905 | − | 8.93221i | 0.0534835 | − | 0.0173778i | ||||
\(515\) | −533.225 | + | 400.321i | −1.03539 | + | 0.777323i | ||||
\(516\) | −61.9160 | + | 190.558i | −0.119992 | + | 0.369298i | ||||
\(517\) | −86.5949 | − | 546.739i | −0.167495 | − | 1.05752i | ||||
\(518\) | 225.116 | − | 225.116i | 0.434587 | − | 0.434587i | ||||
\(519\) | 206.309 | − | 283.960i | 0.397512 | − | 0.547129i | ||||
\(520\) | 36.6476 | − | 257.420i | 0.0704761 | − | 0.495039i | ||||
\(521\) | 400.288 | − | 290.826i | 0.768308 | − | 0.558208i | −0.133140 | − | 0.991097i | \(-0.542506\pi\) |
0.901447 | + | 0.432889i | \(0.142506\pi\) | |||||||
\(522\) | −192.224 | − | 30.4452i | −0.368244 | − | 0.0583242i | ||||
\(523\) | 229.600 | + | 116.987i | 0.439005 | + | 0.223684i | 0.659501 | − | 0.751704i | \(-0.270768\pi\) |
−0.220496 | + | 0.975388i | \(0.570768\pi\) | |||||||
\(524\) | − | 194.301i | − | 0.370804i | ||||||
\(525\) | −372.413 | − | 480.197i | −0.709359 | − | 0.914661i | ||||
\(526\) | −288.193 | −0.547896 | ||||||||
\(527\) | −131.517 | + | 258.116i | −0.249557 | + | 0.489783i | ||||
\(528\) | −16.8370 | + | 106.305i | −0.0318883 | + | 0.201335i | ||||
\(529\) | −305.266 | − | 420.163i | −0.577063 | − | 0.794259i | ||||
\(530\) | −31.0601 | − | 178.011i | −0.0586039 | − | 0.335870i | ||||
\(531\) | 158.408 | + | 115.090i | 0.298320 | + | 0.216742i | ||||
\(532\) | −264.797 | − | 264.797i | −0.497739 | − | 0.497739i | ||||
\(533\) | −406.538 | + | 64.3893i | −0.762736 | + | 0.120805i | ||||
\(534\) | −514.070 | − | 167.032i | −0.962679 | − | 0.312793i | ||||
\(535\) | −11.5000 | − | 734.048i | −0.0214953 | − | 1.37205i | ||||
\(536\) | −73.3228 | − | 225.664i | −0.136796 | − | 0.421016i | ||||
\(537\) | −311.679 | + | 158.808i | −0.580407 | + | 0.295732i | ||||
\(538\) | −231.235 | − | 453.824i | −0.429805 | − | 0.843540i | ||||
\(539\) | −522.181 | + | 169.667i | −0.968796 | + | 0.314781i | ||||
\(540\) | −240.477 | − | 169.026i | −0.445328 | − | 0.313010i | ||||
\(541\) | 290.448 | − | 893.906i | 0.536872 | − | 1.65232i | −0.202698 | − | 0.979241i | \(-0.564971\pi\) |
0.739570 | − | 0.673080i | \(-0.235029\pi\) | |||||||
\(542\) | 19.6421 | + | 124.015i | 0.0362400 | + | 0.228810i | ||||
\(543\) | 269.232 | − | 269.232i | 0.495824 | − | 0.495824i | ||||
\(544\) | 53.1480 | − | 73.1519i | 0.0976985 | − | 0.134470i | ||||
\(545\) | −424.670 | − | 802.146i | −0.779212 | − | 1.47183i | ||||
\(546\) | −511.324 | + | 371.499i | −0.936491 | + | 0.680400i | ||||
\(547\) | 726.852 | + | 115.122i | 1.32880 | + | 0.210461i | 0.780149 | − | 0.625593i | \(-0.215143\pi\) |
0.548647 | + | 0.836054i | \(0.315143\pi\) | |||||||
\(548\) | 91.9690 | + | 46.8606i | 0.167827 | + | 0.0855120i | ||||
\(549\) | 67.1512i | 0.122315i | ||||||||
\(550\) | −48.8094 | + | 386.101i | −0.0887444 | + | 0.702002i | ||||
\(551\) | 856.745 | 1.55489 | ||||||||
\(552\) | 9.75085 | − | 19.1371i | 0.0176646 | − | 0.0346687i | ||||
\(553\) | 22.4789 | − | 141.926i | 0.0406491 | − | 0.256648i | ||||
\(554\) | 265.652 | + | 365.638i | 0.479515 | + | 0.659996i | ||||
\(555\) | −121.741 | + | 248.477i | −0.219353 | + | 0.447707i | ||||
\(556\) | −307.138 | − | 223.149i | −0.552406 | − | 0.401346i | ||||
\(557\) | 763.833 | + | 763.833i | 1.37133 | + | 1.37133i | 0.858469 | + | 0.512865i | \(0.171416\pi\) |
0.512865 | + | 0.858469i | \(0.328584\pi\) | |||||||
\(558\) | −76.5667 | + | 12.1270i | −0.137216 | + | 0.0217329i | ||||
\(559\) | 716.634 | + | 232.848i | 1.28199 | + | 0.416545i | ||||
\(560\) | 190.083 | + | 58.4859i | 0.339433 | + | 0.104439i | ||||
\(561\) | −132.907 | − | 409.047i | −0.236912 | − | 0.729139i | ||||
\(562\) | 321.816 | − | 163.974i | 0.572627 | − | 0.291768i | ||||
\(563\) | −88.5286 | − | 173.747i | −0.157244 | − | 0.308609i | 0.798921 | − | 0.601436i | \(-0.205404\pi\) |
−0.956166 | + | 0.292826i | \(0.905404\pi\) | |||||||
\(564\) | 233.825 | − | 75.9744i | 0.414584 | − | 0.134706i | ||||
\(565\) | 170.820 | − | 555.175i | 0.302337 | − | 0.982611i | ||||
\(566\) | −0.806208 | + | 2.48125i | −0.00142440 | + | 0.00438384i | ||||
\(567\) | 69.4258 | + | 438.337i | 0.122444 | + | 0.773082i | ||||
\(568\) | −91.5117 | + | 91.5117i | −0.161112 | + | 0.161112i | ||||
\(569\) | −81.5460 | + | 112.238i | −0.143315 | + | 0.197256i | −0.874640 | − | 0.484773i | \(-0.838902\pi\) |
0.731325 | + | 0.682029i | \(0.238902\pi\) | |||||||
\(570\) | 292.277 | + | 143.200i | 0.512766 | + | 0.251229i | ||||
\(571\) | 318.668 | − | 231.526i | 0.558087 | − | 0.405474i | −0.272671 | − | 0.962107i | \(-0.587907\pi\) |
0.830758 | + | 0.556633i | \(0.187907\pi\) | |||||||
\(572\) | 399.783 | + | 63.3194i | 0.698921 | + | 0.110698i | ||||
\(573\) | 264.147 | + | 134.590i | 0.460990 | + | 0.234886i | ||||
\(574\) | − | 314.822i | − | 0.548471i | ||||||
\(575\) | 33.0727 | − | 70.2675i | 0.0575177 | − | 0.122204i | ||||
\(576\) | 24.1966 | 0.0420080 | ||||||||
\(577\) | −289.629 | + | 568.429i | −0.501957 | + | 0.985145i | 0.491494 | + | 0.870881i | \(0.336451\pi\) |
−0.993450 | + | 0.114264i | \(0.963549\pi\) | |||||||
\(578\) | 7.41184 | − | 46.7965i | 0.0128233 | − | 0.0809629i | ||||
\(579\) | −90.0511 | − | 123.945i | −0.155529 | − | 0.214067i | ||||
\(580\) | −402.119 | + | 212.889i | −0.693308 | + | 0.367050i | ||||
\(581\) | 12.0050 | + | 8.72216i | 0.0206627 | + | 0.0150123i | ||||
\(582\) | −405.635 | − | 405.635i | −0.696968 | − | 0.696968i | ||||
\(583\) | 277.833 | − | 44.0044i | 0.476557 | − | 0.0754792i | ||||
\(584\) | 273.065 | + | 88.7242i | 0.467577 | + | 0.151925i | ||||
\(585\) | −159.889 | + | 227.478i | −0.273314 | + | 0.388851i | ||||
\(586\) | −120.993 | − | 372.377i | −0.206472 | − | 0.635455i | ||||
\(587\) | 795.587 | − | 405.372i | 1.35534 | − | 0.690582i | 0.382915 | − | 0.923783i | \(-0.374920\pi\) |
0.972429 | + | 0.233201i | \(0.0749201\pi\) | |||||||
\(588\) | −110.710 | − | 217.281i | −0.188282 | − | 0.369525i | ||||
\(589\) | 324.557 | − | 105.455i | 0.551030 | − | 0.179041i | ||||
\(590\) | 457.706 | − | 7.17066i | 0.775772 | − | 0.0121537i | ||||
\(591\) | 21.1799 | − | 65.1850i | 0.0358374 | − | 0.110296i | ||||
\(592\) | −14.1659 | − | 89.4400i | −0.0239289 | − | 0.151081i | ||||
\(593\) | −253.685 | + | 253.685i | −0.427800 | + | 0.427800i | −0.887878 | − | 0.460078i | \(-0.847821\pi\) |
0.460078 | + | 0.887878i | \(0.347821\pi\) | |||||||
\(594\) | 268.953 | − | 370.182i | 0.452783 | − | 0.623203i | ||||
\(595\) | −782.898 | + | 136.603i | −1.31579 | + | 0.229585i | ||||
\(596\) | −243.407 | + | 176.846i | −0.408401 | + | 0.296721i | ||||
\(597\) | 151.561 | + | 24.0049i | 0.253871 | + | 0.0402092i | ||||
\(598\) | −71.9693 | − | 36.6702i | −0.120350 | − | 0.0613214i | ||||
\(599\) | − | 581.488i | − | 0.970764i | −0.874302 | − | 0.485382i | \(-0.838681\pi\) | ||
0.874302 | − | 0.485382i | \(-0.161319\pi\) | |||||||
\(600\) | −172.765 | + | 5.41459i | −0.287942 | + | 0.00902432i | ||||
\(601\) | −171.633 | −0.285580 | −0.142790 | − | 0.989753i | \(-0.545607\pi\) | ||||
−0.142790 | + | 0.989753i | \(0.545607\pi\) | |||||||
\(602\) | −261.651 | + | 513.518i | −0.434636 | + | 0.853020i | ||||
\(603\) | −39.6925 | + | 250.609i | −0.0658251 | + | 0.415603i | ||||
\(604\) | 216.168 | + | 297.530i | 0.357895 | + | 0.492600i | ||||
\(605\) | −0.817941 | − | 0.116446i | −0.00135197 | − | 0.000192473i | ||||
\(606\) | −202.266 | − | 146.955i | −0.333773 | − | 0.242500i | ||||
\(607\) | −523.612 | − | 523.612i | −0.862622 | − | 0.862622i | 0.129020 | − | 0.991642i | \(-0.458817\pi\) |
−0.991642 | + | 0.129020i | \(0.958817\pi\) | |||||||
\(608\) | −105.206 | + | 16.6629i | −0.173036 | + | 0.0274061i | ||||
\(609\) | 1051.85 | + | 341.766i | 1.72717 | + | 0.561191i | ||||
\(610\) | 94.2551 | + | 125.547i | 0.154517 | + | 0.205815i | ||||
\(611\) | −285.718 | − | 879.351i | −0.467624 | − | 1.43920i | ||||
\(612\) | −86.1526 | + | 43.8969i | −0.140772 | + | 0.0717270i | ||||
\(613\) | 317.280 | + | 622.698i | 0.517586 | + | 1.01582i | 0.990859 | + | 0.134904i | \(0.0430726\pi\) |
−0.473272 | + | 0.880916i | \(0.656927\pi\) | |||||||
\(614\) | 162.612 | − | 52.8359i | 0.264841 | − | 0.0860520i | ||||
\(615\) | 88.6198 | + | 258.873i | 0.144097 | + | 0.420932i | ||||
\(616\) | −95.6688 | + | 294.438i | −0.155307 | + | 0.477984i | ||||
\(617\) | 72.1333 | + | 455.432i | 0.116910 | + | 0.738139i | 0.974597 | + | 0.223967i | \(0.0719007\pi\) |
−0.857687 | + | 0.514172i | \(0.828099\pi\) | |||||||
\(618\) | 325.981 | − | 325.981i | 0.527478 | − | 0.527478i | ||||
\(619\) | −158.282 | + | 217.856i | −0.255706 | + | 0.351949i | −0.917499 | − | 0.397737i | \(-0.869796\pi\) |
0.661794 | + | 0.749686i | \(0.269796\pi\) | |||||||
\(620\) | −126.129 | + | 130.144i | −0.203434 | + | 0.209909i | ||||
\(621\) | −73.8717 | + | 53.6709i | −0.118956 | + | 0.0864266i | ||||
\(622\) | 370.157 | + | 58.6272i | 0.595108 | + | 0.0942559i | ||||
\(623\) | −1385.33 | − | 705.858i | −2.22364 | − | 1.13300i | ||||
\(624\) | 179.775i | 0.288101i | ||||||||
\(625\) | −623.773 | + | 39.1375i | −0.998037 | + | 0.0626200i | ||||
\(626\) | 184.086 | 0.294068 | ||||||||
\(627\) | −230.019 | + | 451.438i | −0.366857 | + | 0.719997i | ||||
\(628\) | −24.2074 | + | 152.840i | −0.0385468 | + | 0.243375i | ||||
\(629\) | 212.698 | + | 292.754i | 0.338153 | + | 0.465428i | ||||
\(630\) | −152.717 | − | 148.005i | −0.242407 | − | 0.234929i | ||||
\(631\) | 194.426 | + | 141.259i | 0.308124 | + | 0.223865i | 0.731091 | − | 0.682280i | \(-0.239011\pi\) |
−0.422967 | + | 0.906145i | \(0.639011\pi\) | |||||||
\(632\) | −28.9014 | − | 28.9014i | −0.0457301 | − | 0.0457301i | ||||
\(633\) | −834.006 | + | 132.094i | −1.31755 | + | 0.208679i | ||||
\(634\) | −145.357 | − | 47.2295i | −0.229270 | − | 0.0744944i | ||||
\(635\) | −420.339 | + | 143.894i | −0.661951 | + | 0.226605i | ||||
\(636\) | 38.6074 | + | 118.822i | 0.0607035 | + | 0.186826i | ||||
\(637\) | −817.131 | + | 416.349i | −1.28278 | + | 0.653609i | ||||
\(638\) | −321.557 | − | 631.092i | −0.504008 | − | 0.989172i | ||||
\(639\) | 131.619 | − | 42.7655i | 0.205976 | − | 0.0669256i | ||||
\(640\) | 45.2384 | − | 33.9630i | 0.0706851 | − | 0.0530671i | ||||
\(641\) | 83.6971 | − | 257.593i | 0.130573 | − | 0.401861i | −0.864302 | − | 0.502972i | \(-0.832240\pi\) |
0.994875 | + | 0.101111i | \(0.0322397\pi\) | |||||||
\(642\) | 79.4035 | + | 501.334i | 0.123682 | + | 0.780894i | ||||
\(643\) | −348.420 | + | 348.420i | −0.541866 | + | 0.541866i | −0.924076 | − | 0.382210i | \(-0.875163\pi\) |
0.382210 | + | 0.924076i | \(0.375163\pi\) | |||||||
\(644\) | 36.3136 | − | 49.9813i | 0.0563875 | − | 0.0776108i | ||||
\(645\) | 70.6001 | − | 495.911i | 0.109458 | − | 0.768854i | ||||
\(646\) | 344.358 | − | 250.191i | 0.533061 | − | 0.387292i | ||||
\(647\) | 639.220 | + | 101.242i | 0.987975 | + | 0.156480i | 0.629450 | − | 0.777041i | \(-0.283280\pi\) |
0.358524 | + | 0.933520i | \(0.383280\pi\) | |||||||
\(648\) | 112.476 | + | 57.3095i | 0.173574 | + | 0.0884405i | ||||
\(649\) | 712.596i | 1.09799i | ||||||||
\(650\) | 20.3628 | + | 649.721i | 0.0313273 | + | 0.999571i | ||||
\(651\) | 440.534 | 0.676703 | ||||||||
\(652\) | 79.5189 | − | 156.065i | 0.121961 | − | 0.239363i | ||||
\(653\) | 63.2779 | − | 399.521i | 0.0969034 | − | 0.611824i | −0.890668 | − | 0.454654i | \(-0.849763\pi\) |
0.987572 | − | 0.157170i | \(-0.0502370\pi\) | |||||||
\(654\) | 368.854 | + | 507.684i | 0.563997 | + | 0.776275i | ||||
\(655\) | 83.4947 | + | 478.524i | 0.127473 | + | 0.730571i | ||||
\(656\) | −72.4459 | − | 52.6350i | −0.110436 | − | 0.0802364i | ||||
\(657\) | −217.102 | − | 217.102i | −0.330445 | − | 0.330445i | ||||
\(658\) | 698.489 | − | 110.630i | 1.06153 | − | 0.168130i | ||||
\(659\) | −610.836 | − | 198.473i | −0.926913 | − | 0.301172i | −0.193613 | − | 0.981078i | \(-0.562021\pi\) |
−0.733300 | + | 0.679906i | \(0.762021\pi\) | |||||||
\(660\) | −4.21496 | − | 269.042i | −0.00638630 | − | 0.407639i | ||||
\(661\) | 245.242 | + | 754.777i | 0.371016 | + | 1.14187i | 0.946127 | + | 0.323795i | \(0.104959\pi\) |
−0.575111 | + | 0.818075i | \(0.695041\pi\) | |||||||
\(662\) | −445.506 | + | 226.997i | −0.672970 | + | 0.342895i | ||||
\(663\) | −326.144 | − | 640.094i | −0.491922 | − | 0.965450i | ||||
\(664\) | 4.01424 | − | 1.30430i | 0.00604554 | − | 0.00196431i | ||||
\(665\) | 765.928 | + | 538.352i | 1.15177 | + | 0.809552i | ||||
\(666\) | −29.9236 | + | 92.0953i | −0.0449303 | + | 0.138281i | ||||
\(667\) | 22.1109 | + | 139.603i | 0.0331497 | + | 0.209299i | ||||
\(668\) | 22.3788 | − | 22.3788i | 0.0335012 | − | 0.0335012i | ||||
\(669\) | −365.325 | + | 502.827i | −0.546077 | + | 0.751610i | ||||
\(670\) | 277.551 | + | 524.257i | 0.414255 | + | 0.782472i | ||||
\(671\) | −197.713 | + | 143.647i | −0.294655 | + | 0.214079i | ||||
\(672\) | −135.811 | − | 21.5103i | −0.202099 | − | 0.0320093i | ||||
\(673\) | −504.603 | − | 257.108i | −0.749781 | − | 0.382032i | 0.0369593 | − | 0.999317i | \(-0.488233\pi\) |
−0.786740 | + | 0.617284i | \(0.788233\pi\) | |||||||
\(674\) | 467.565i | 0.693716i | ||||||||
\(675\) | 664.878 | + | 312.937i | 0.985005 | + | 0.463611i | ||||
\(676\) | 338.083 | 0.500123 | ||||||||
\(677\) | −73.6337 | + | 144.514i | −0.108765 | + | 0.213463i | −0.938973 | − | 0.343990i | \(-0.888221\pi\) |
0.830209 | + | 0.557453i | \(0.188221\pi\) | |||||||
\(678\) | −62.8252 | + | 396.663i | −0.0926626 | + | 0.585048i | ||||
\(679\) | −969.894 | − | 1334.94i | −1.42841 | − | 1.96604i | ||||
\(680\) | −99.4578 | + | 202.997i | −0.146261 | + | 0.298524i | ||||
\(681\) | 328.428 | + | 238.617i | 0.482272 | + | 0.350391i | ||||
\(682\) | −199.494 | − | 199.494i | −0.292513 | − | 0.292513i | ||||
\(683\) | 155.855 | − | 24.6851i | 0.228193 | − | 0.0361421i | −0.0412909 | − | 0.999147i | \(-0.513147\pi\) |
0.269483 | + | 0.963005i | \(0.413147\pi\) | |||||||
\(684\) | 108.329 | + | 35.1982i | 0.158376 | + | 0.0514594i | ||||
\(685\) | −246.637 | − | 75.8871i | −0.360055 | − | 0.110784i | ||||
\(686\) | −3.82372 | − | 11.7682i | −0.00557394 | − | 0.0171548i | ||||
\(687\) | 451.479 | − | 230.040i | 0.657174 | − | 0.334847i | ||||
\(688\) | 74.4240 | + | 146.065i | 0.108174 | + | 0.212304i | ||||
\(689\) | 446.854 | − | 145.192i | 0.648554 | − | 0.210728i | ||||
\(690\) | −15.7907 | + | 51.3208i | −0.0228851 | + | 0.0743780i | ||||
\(691\) | 347.572 | − | 1069.72i | 0.502999 | − | 1.54807i | −0.301111 | − | 0.953589i | \(-0.597357\pi\) |
0.804109 | − | 0.594482i | \(-0.202643\pi\) | |||||||
\(692\) | −44.9239 | − | 283.638i | −0.0649189 | − | 0.409882i | ||||
\(693\) | 234.095 | − | 234.095i | 0.337800 | − | 0.337800i | ||||
\(694\) | −129.358 | + | 178.047i | −0.186395 | + | 0.256551i | ||||
\(695\) | 852.307 | + | 417.586i | 1.22634 | + | 0.600843i | ||||
\(696\) | 254.504 | − | 184.908i | 0.365667 | − | 0.265672i | ||||
\(697\) | 353.435 | + | 55.9786i | 0.507080 | + | 0.0803136i | ||||
\(698\) | −327.664 | − | 166.953i | −0.469433 | − | 0.239188i | ||||
\(699\) | − | 79.9550i | − | 0.114385i | ||||||
\(700\) | −493.266 | − | 62.3568i | −0.704666 | − | 0.0890811i | ||||
\(701\) | −1207.60 | −1.72269 | −0.861343 | − | 0.508024i | \(-0.830376\pi\) | ||||
−0.861343 | + | 0.508024i | \(0.830376\pi\) | |||||||
\(702\) | 346.977 | − | 680.981i | 0.494269 | − | 0.970058i | ||||
\(703\) | 66.6850 | − | 421.033i | 0.0948578 | − | 0.598909i | ||||
\(704\) | 51.7604 | + | 71.2421i | 0.0735233 | + | 0.101196i | ||||
\(705\) | −543.215 | + | 287.588i | −0.770518 | + | 0.407926i | ||||
\(706\) | 383.795 | + | 278.843i | 0.543619 | + | 0.394962i | ||||
\(707\) | −508.517 | − | 508.517i | −0.719260 | − | 0.719260i | ||||
\(708\) | −312.600 | + | 49.5110i | −0.441525 | + | 0.0699308i | ||||
\(709\) | 1174.03 | + | 381.465i | 1.65590 | + | 0.538033i | 0.980006 | − | 0.198970i | \(-0.0637596\pi\) |
0.675890 | + | 0.737003i | \(0.263760\pi\) | |||||||
\(710\) | 186.050 | − | 264.698i | 0.262042 | − | 0.372815i | ||||
\(711\) | 13.5063 | + | 41.5681i | 0.0189962 | + | 0.0584642i | ||||
\(712\) | −394.042 | + | 200.775i | −0.553430 | + | 0.281987i | ||||
\(713\) | 25.5596 | + | 50.1635i | 0.0358479 | + | 0.0703555i | ||||
\(714\) | 522.580 | − | 169.797i | 0.731905 | − | 0.237810i | ||||
\(715\) | −1011.79 | + | 15.8513i | −1.41509 | + | 0.0221696i | ||||
\(716\) | −88.4411 | + | 272.194i | −0.123521 | + | 0.380159i | ||||
\(717\) | −142.814 | − | 901.695i | −0.199183 | − | 1.25759i | ||||
\(718\) | 65.0482 | − | 65.0482i | 0.0905964 | − | 0.0905964i | ||||
\(719\) | 218.357 | − | 300.542i | 0.303695 | − | 0.418001i | −0.629707 | − | 0.776833i | \(-0.716825\pi\) |
0.933402 | + | 0.358832i | \(0.116825\pi\) | |||||||
\(720\) | −59.5912 | + | 10.3977i | −0.0827655 | + | 0.0144413i | ||||
\(721\) | 1072.80 | − | 779.437i | 1.48794 | − | 1.08105i | ||||
\(722\) | 8.99751 | + | 1.42507i | 0.0124619 | + | 0.00197378i | ||||
\(723\) | 718.216 | + | 365.949i | 0.993383 | + | 0.506154i | ||||
\(724\) | − | 311.521i | − | 0.430278i | ||||||
\(725\) | 898.853 | − | 697.099i | 1.23980 | − | 0.961516i | ||||
\(726\) | 0.571227 | 0.000786814 | ||||||||
\(727\) | 40.7718 | − | 80.0192i | 0.0560823 | − | 0.110068i | −0.861264 | − | 0.508157i | \(-0.830327\pi\) |
0.917346 | + | 0.398090i | \(0.130327\pi\) | |||||||
\(728\) | −80.8940 | + | 510.745i | −0.111118 | + | 0.701572i | ||||
\(729\) | −459.446 | − | 632.374i | −0.630242 | − | 0.867453i | ||||
\(730\) | −710.629 | − | 101.168i | −0.973464 | − | 0.138587i | ||||
\(731\) | −529.977 | − | 385.051i | −0.725003 | − | 0.526745i | ||||
\(732\) | −76.7519 | − | 76.7519i | −0.104852 | − | 0.104852i | ||||
\(733\) | −783.969 | + | 124.168i | −1.06953 | + | 0.169398i | −0.666289 | − | 0.745694i | \(-0.732118\pi\) |
−0.403246 | + | 0.915092i | \(0.632118\pi\) | |||||||
\(734\) | 46.3776 | + | 15.0690i | 0.0631847 | + | 0.0205300i | ||||
\(735\) | 366.025 | + | 487.543i | 0.497993 | + | 0.663323i | ||||
\(736\) | −5.43030 | − | 16.7127i | −0.00737812 | − | 0.0227075i | ||||
\(737\) | −822.776 | + | 419.226i | −1.11639 | + | 0.568827i | ||||
\(738\) | 43.4733 | + | 85.3211i | 0.0589069 | + | 0.115611i | ||||
\(739\) | −86.8071 | + | 28.2053i | −0.117466 | + | 0.0381669i | −0.367160 | − | 0.930158i | \(-0.619670\pi\) |
0.249694 | + | 0.968325i | \(0.419670\pi\) | |||||||
\(740\) | 73.3216 | + | 214.185i | 0.0990833 | + | 0.289439i | ||||
\(741\) | −261.514 | + | 804.859i | −0.352921 | + | 1.08618i | ||||
\(742\) | 56.2180 | + | 354.947i | 0.0757656 | + | 0.478365i | ||||
\(743\) | 835.778 | − | 835.778i | 1.12487 | − | 1.12487i | 0.133871 | − | 0.990999i | \(-0.457259\pi\) |
0.990999 | − | 0.133871i | \(-0.0427407\pi\) | |||||||
\(744\) | 73.6527 | − | 101.374i | 0.0989956 | − | 0.136256i | ||||
\(745\) | 523.467 | − | 540.130i | 0.702641 | − | 0.725007i | ||||
\(746\) | 117.220 | − | 85.1651i | 0.157131 | − | 0.114162i | ||||
\(747\) | −4.45796 | − | 0.706071i | −0.00596781 | − | 0.000945208i | ||||
\(748\) | −313.540 | − | 159.757i | −0.419171 | − | 0.213578i | ||||
\(749\) | 1460.03i | 1.94931i | ||||||||
\(750\) | 423.158 | − | 87.5753i | 0.564211 | − | 0.116767i | ||||
\(751\) | −844.470 | −1.12446 | −0.562231 | − | 0.826981i | \(-0.690057\pi\) | ||||
−0.562231 | + | 0.826981i | \(0.690057\pi\) | |||||||
\(752\) | 91.3224 | − | 179.230i | 0.121439 | − | 0.238338i | ||||
\(753\) | 70.8231 | − | 447.159i | 0.0940545 | − | 0.593837i | ||||
\(754\) | −695.386 | − | 957.117i | −0.922263 | − | 1.26939i | ||||
\(755\) | −660.232 | − | 639.864i | −0.874479 | − | 0.847502i | ||||
\(756\) | 472.929 | + | 343.603i | 0.625567 | + | 0.454501i | ||||
\(757\) | 191.531 | + | 191.531i | 0.253013 | + | 0.253013i | 0.822205 | − | 0.569192i | \(-0.192744\pi\) |
−0.569192 | + | 0.822205i | \(0.692744\pi\) | |||||||
\(758\) | 738.530 | − | 116.972i | 0.974314 | − | 0.154316i | ||||
\(759\) | −79.4961 | − | 25.8299i | −0.104738 | − | 0.0340314i | ||||
\(760\) | 251.939 | − | 86.2460i | 0.331499 | − | 0.113482i | ||||
\(761\) | −422.046 | − | 1298.92i | −0.554593 | − | 1.70686i | −0.697015 | − | 0.717057i | \(-0.745489\pi\) |
0.142421 | − | 0.989806i | \(-0.454511\pi\) | |||||||
\(762\) | 273.699 | − | 139.457i | 0.359185 | − | 0.183014i | ||||
\(763\) | 819.478 | + | 1608.32i | 1.07402 | + | 2.10788i | ||||
\(764\) | 230.684 | − | 74.9537i | 0.301942 | − | 0.0981069i | ||||
\(765\) | 193.313 | − | 145.130i | 0.252696 | − | 0.189713i | ||||
\(766\) | 82.1766 | − | 252.914i | 0.107280 | − | 0.330174i | ||||
\(767\) | 186.197 | + | 1175.60i | 0.242760 | + | 1.53272i | ||||
\(768\) | −27.6560 | + | 27.6560i | −0.0360104 | + | 0.0360104i | ||||
\(769\) | −268.751 | + | 369.904i | −0.349481 | + | 0.481019i | −0.947181 | − | 0.320701i | \(-0.896082\pi\) |
0.597700 | + | 0.801720i | \(0.296082\pi\) | |||||||
\(770\) | 109.087 | − | 766.251i | 0.141671 | − | 0.995131i | ||||
\(771\) | 40.4207 | − | 29.3673i | 0.0524263 | − | 0.0380899i | ||||
\(772\) | −123.804 | − | 19.6087i | −0.160368 | − | 0.0253998i | ||||
\(773\) | 838.256 | + | 427.113i | 1.08442 | + | 0.552539i | 0.902463 | − | 0.430767i | \(-0.141757\pi\) |
0.181956 | + | 0.983307i | \(0.441757\pi\) | |||||||
\(774\) | − | 175.301i | − | 0.226488i | ||||||
\(775\) | 254.704 | − | 374.717i | 0.328650 | − | 0.483506i | ||||
\(776\) | −469.350 | −0.604832 | ||||||||
\(777\) | 249.826 | − | 490.311i | 0.321526 | − | 0.631030i | ||||
\(778\) | −117.823 | + | 743.908i | −0.151444 | + | 0.956179i | ||||
\(779\) | −247.776 | − | 341.034i | −0.318069 | − | 0.437785i | ||||
\(780\) | −77.2525 | − | 442.748i | −0.0990417 | − | 0.567626i | ||||
\(781\) | 407.468 | + | 296.043i | 0.521726 | + | 0.379056i | ||||
\(782\) | 49.6546 | + | 49.6546i | 0.0634969 | + | 0.0634969i | ||||
\(783\) | −1320.94 | + | 209.216i | −1.68702 | + | 0.267197i | ||||
\(784\) | −189.754 | − | 61.6550i | −0.242034 | − | 0.0786415i | ||||
\(785\) | −6.06004 | − | 386.814i | −0.00771980 | − | 0.492757i | ||||
\(786\) | −103.783 | − | 319.412i | −0.132040 | − | 0.406377i | ||||
\(787\) | 1111.97 | − | 566.578i | 1.41293 | − | 0.719921i | 0.429812 | − | 0.902919i | \(-0.358580\pi\) |
0.983113 | + | 0.182997i | \(0.0585799\pi\) | |||||||
\(788\) | −25.4586 | − | 49.9652i | −0.0323078 | − | 0.0634076i | ||||
\(789\) | −473.761 | + | 153.934i | −0.600458 | + | 0.195100i | ||||
\(790\) | 83.5976 | + | 58.7587i | 0.105820 | + | 0.0743781i | ||||
\(791\) | −356.976 | + | 1098.66i | −0.451297 | + | 1.38895i | ||||
\(792\) | −14.7309 | − | 93.0076i | −0.0185997 | − | 0.117434i | ||||
\(793\) | −288.642 | + | 288.642i | −0.363987 | + | 0.363987i | ||||
\(794\) | −475.822 | + | 654.913i | −0.599273 | + | 0.824828i | ||||
\(795\) | −146.142 | − | 276.042i | −0.183826 | − | 0.347223i | ||||
\(796\) | 101.571 | − | 73.7957i | 0.127602 | − | 0.0927082i | ||||
\(797\) | −157.517 | − | 24.9483i | −0.197638 | − | 0.0313027i | 0.0568307 | − | 0.998384i | \(-0.481900\pi\) |
−0.254468 | + | 0.967081i | \(0.581900\pi\) | |||||||
\(798\) | −576.738 | − | 293.862i | −0.722729 | − | 0.368249i | ||||
\(799\) | 803.830i | 1.00604i | ||||||||
\(800\) | −96.8184 | + | 103.083i | −0.121023 | + | 0.128854i | ||||
\(801\) | 472.913 | 0.590403 | ||||||||
\(802\) | −292.702 | + | 574.461i | −0.364966 | + | 0.716285i | ||||
\(803\) | 174.798 | − | 1103.63i | 0.217681 | − | 1.37438i | ||||
\(804\) | −241.071 | − | 331.806i | −0.299840 | − | 0.412694i | ||||
\(805\) | −67.9549 | + | 138.698i | −0.0844160 | + | 0.172296i | ||||
\(806\) | −381.240 | − | 276.987i | −0.473002 | − | 0.343656i | ||||
\(807\) | −622.532 | − | 622.532i | −0.771415 | − | 0.771415i | ||||
\(808\) | −202.037 | + | 31.9995i | −0.250046 | + | 0.0396034i | ||||
\(809\) | 55.3058 | + | 17.9699i | 0.0683631 | + | 0.0222125i | 0.342999 | − | 0.939336i | \(-0.388557\pi\) |
−0.274636 | + | 0.961548i | \(0.588557\pi\) | |||||||
\(810\) | −301.632 | − | 92.8083i | −0.372385 | − | 0.114578i | ||||
\(811\) | 465.514 | + | 1432.71i | 0.574000 | + | 1.76659i | 0.639559 | + | 0.768742i | \(0.279117\pi\) |
−0.0655584 | + | 0.997849i | \(0.520883\pi\) | |||||||
\(812\) | 806.255 | − | 410.807i | 0.992925 | − | 0.505920i | ||||
\(813\) | 98.5306 | + | 193.377i | 0.121194 | + | 0.237856i | ||||
\(814\) | −335.168 | + | 108.903i | −0.411754 | + | 0.133787i | ||||
\(815\) | −128.775 | + | 418.525i | −0.158006 | + | 0.513528i | ||||
\(816\) | 48.2970 | − | 148.643i | 0.0591875 | − | 0.182160i | ||||
\(817\) | 120.721 | + | 762.202i | 0.147761 | + | 0.932927i | ||||
\(818\) | −373.339 | + | 373.339i | −0.456405 | + | 0.456405i | ||||
\(819\) | 325.029 | − | 447.364i | 0.396861 | − | 0.546232i | ||||
\(820\) | 201.037 | + | 98.4979i | 0.245168 | + | 0.120119i | ||||
\(821\) | −634.135 | + | 460.726i | −0.772393 | + | 0.561177i | −0.902686 | − | 0.430299i | \(-0.858408\pi\) |
0.130293 | + | 0.991476i | \(0.458408\pi\) | |||||||
\(822\) | 176.218 | + | 27.9102i | 0.214377 | + | 0.0339540i | ||||
\(823\) | 852.532 | + | 434.387i | 1.03588 | + | 0.527809i | 0.887349 | − | 0.461098i | \(-0.152544\pi\) |
0.148534 | + | 0.988907i | \(0.452544\pi\) | |||||||
\(824\) | − | 377.184i | − | 0.457747i | ||||||
\(825\) | 125.993 | + | 660.783i | 0.152718 | + | 0.800949i | ||||
\(826\) | −910.382 | −1.10216 | ||||||||
\(827\) | 420.983 | − | 826.226i | 0.509048 | − | 0.999064i | −0.483284 | − | 0.875464i | \(-0.660556\pi\) |
0.992332 | − | 0.123600i | \(-0.0394439\pi\) | |||||||
\(828\) | −2.93963 | + | 18.5601i | −0.00355028 | + | 0.0224156i | ||||
\(829\) | −89.7223 | − | 123.492i | −0.108230 | − | 0.148965i | 0.751466 | − | 0.659771i | \(-0.229347\pi\) |
−0.859696 | + | 0.510806i | \(0.829347\pi\) | |||||||
\(830\) | −9.32574 | + | 4.93722i | −0.0112358 | + | 0.00594845i | ||||
\(831\) | 632.005 | + | 459.179i | 0.760536 | + | 0.552562i | ||||
\(832\) | 104.006 | + | 104.006i | 0.125008 | + | 0.125008i | ||||
\(833\) | 787.479 | − | 124.724i | 0.945352 | − | 0.149729i | ||||
\(834\) | −624.096 | − | 202.781i | −0.748316 | − | 0.243143i | ||||
\(835\) | −45.4978 | + | 64.7309i | −0.0544883 | + | 0.0775220i | ||||
\(836\) | 128.099 | + | 394.248i | 0.153228 | + | 0.471588i | ||||
\(837\) | −474.652 | + | 241.847i | −0.567088 | + | 0.288946i | ||||
\(838\) | 386.402 | + | 758.357i | 0.461100 | + | 0.904961i | ||||
\(839\) | 685.697 | − | 222.797i | 0.817279 | − | 0.265550i | 0.129601 | − | 0.991566i | \(-0.458630\pi\) |
0.687678 | + | 0.726016i | \(0.258630\pi\) | |||||||
\(840\) | 343.716 | − | 5.38484i | 0.409186 | − | 0.00641053i | ||||
\(841\) | −379.848 | + | 1169.05i | −0.451662 | + | 1.39007i | ||||
\(842\) | −28.2695 | − | 178.486i | −0.0335742 | − | 0.211979i | ||||
\(843\) | 441.450 | − | 441.450i | 0.523665 | − | 0.523665i | ||||
\(844\) | −406.082 | + | 558.924i | −0.481140 | + | 0.662232i | ||||
\(845\) | −832.628 | + | 145.280i | −0.985358 | + | 0.171929i | ||||
\(846\) | −174.023 | + | 126.435i | −0.205701 | + | 0.149451i | ||||
\(847\) | 1.62287 | + | 0.257037i | 0.00191602 | + | 0.000303467i | ||||
\(848\) | 91.0784 | + | 46.4067i | 0.107404 | + | 0.0547249i | ||||
\(849\) | 4.50956i | 0.00531161i | ||||||||
\(850\) | 157.713 | − | 542.677i | 0.185544 | − | 0.638444i | ||||
\(851\) | 70.3264 | 0.0826397 | ||||||||
\(852\) | −101.557 | + | 199.316i | −0.119198 | + | 0.233939i | ||||
\(853\) | −104.473 | + | 659.613i | −0.122477 | + | 0.773287i | 0.847627 | + | 0.530593i | \(0.178031\pi\) |
−0.970103 | + | 0.242693i | \(0.921969\pi\) | |||||||
\(854\) | −183.517 | − | 252.590i | −0.214892 | − | 0.295773i | ||||
\(855\) | −281.917 | − | 40.1350i | −0.329727 | − | 0.0469415i | ||||
\(856\) | 335.978 | + | 244.102i | 0.392497 | + | 0.285166i | ||||
\(857\) | −244.838 | − | 244.838i | −0.285692 | − | 0.285692i | 0.549682 | − | 0.835374i | \(-0.314749\pi\) |
−0.835374 | + | 0.549682i | \(0.814749\pi\) | |||||||
\(858\) | 691.024 | − | 109.448i | 0.805390 | − | 0.127561i | ||||
\(859\) | −993.529 | − | 322.817i | −1.15661 | − | 0.375806i | −0.332981 | − | 0.942934i | \(-0.608054\pi\) |
−0.823630 | + | 0.567128i | \(0.808054\pi\) | |||||||
\(860\) | −246.058 | − | 327.747i | −0.286113 | − | 0.381101i | ||||
\(861\) | −168.158 | − | 517.537i | −0.195305 | − | 0.601088i | ||||
\(862\) | −37.7696 | + | 19.2446i | −0.0438163 | + | 0.0223255i | ||||
\(863\) | −221.512 | − | 434.742i | −0.256677 | − | 0.503757i | 0.726325 | − | 0.687351i | \(-0.241227\pi\) |
−0.983002 | + | 0.183595i | \(0.941227\pi\) | |||||||
\(864\) | 158.138 | − | 51.3821i | 0.183030 | − | 0.0594700i | ||||
\(865\) | 232.522 | + | 679.237i | 0.268812 | + | 0.785245i | ||||
\(866\) | 141.631 | − | 435.895i | 0.163546 | − | 0.503343i | ||||
\(867\) | −12.8114 | − | 80.8878i | −0.0147767 | − | 0.0932962i | ||||
\(868\) | 254.865 | − | 254.865i | 0.293623 | − | 0.293623i | ||||
\(869\) | −93.4968 | + | 128.687i | −0.107591 | + | 0.148087i | ||||
\(870\) | −547.332 | + | 564.755i | −0.629117 | + | 0.649143i | ||||
\(871\) | −1247.83 | + | 906.600i | −1.43264 | + | 1.04087i | ||||
\(872\) | 507.109 | + | 80.3182i | 0.581547 | + | 0.0921080i | ||||
\(873\) | 447.195 | + | 227.857i | 0.512250 | + | 0.261005i | ||||
\(874\) | − | 82.7228i | − | 0.0946485i | ||||||
\(875\) | 1241.61 | − | 58.3933i | 1.41898 | − | 0.0667352i | ||||
\(876\) | 496.283 | 0.566533 | ||||||||
\(877\) | 656.489 | − | 1288.43i | 0.748563 | − | 1.46914i | −0.130002 | − | 0.991514i | \(-0.541498\pi\) |
0.878565 | − | 0.477623i | \(-0.158502\pi\) | |||||||
\(878\) | −97.4867 | + | 615.507i | −0.111033 | + | 0.701033i | ||||
\(879\) | −397.800 | − | 547.524i | −0.452559 | − | 0.622895i | ||||
\(880\) | −158.089 | − | 153.212i | −0.179647 | − | 0.174105i | ||||
\(881\) | −228.685 | − | 166.150i | −0.259575 | − | 0.188592i | 0.450385 | − | 0.892835i | \(-0.351287\pi\) |
−0.709960 | + | 0.704242i | \(0.751287\pi\) | |||||||
\(882\) | 150.865 | + | 150.865i | 0.171049 | + | 0.171049i | ||||
\(883\) | −100.742 | + | 15.9559i | −0.114090 | + | 0.0180701i | −0.213219 | − | 0.977005i | \(-0.568395\pi\) |
0.0991282 | + | 0.995075i | \(0.468395\pi\) | |||||||
\(884\) | −559.004 | − | 181.631i | −0.632357 | − | 0.205465i | ||||
\(885\) | 748.593 | − | 256.265i | 0.845868 | − | 0.289565i | ||||
\(886\) | 175.782 | + | 541.002i | 0.198400 | + | 0.610611i | ||||
\(887\) | −1001.01 | + | 510.038i | −1.12853 | + | 0.575015i | −0.915615 | − | 0.402056i | \(-0.868296\pi\) |
−0.212915 | + | 0.977071i | \(0.568296\pi\) | |||||||
\(888\) | −71.0605 | − | 139.464i | −0.0800231 | − | 0.157054i | ||||
\(889\) | 840.336 | − | 273.042i | 0.945260 | − | 0.307134i | ||||
\(890\) | 884.167 | − | 663.793i | 0.993447 | − | 0.745834i | ||||
\(891\) | 151.812 | − | 467.229i | 0.170384 | − | 0.524387i | ||||
\(892\) | 79.5498 | + | 502.258i | 0.0891814 | + | 0.563069i | ||||
\(893\) | 669.576 | − | 669.576i | 0.749805 | − | 0.749805i | ||||
\(894\) | −305.678 | + | 420.729i | −0.341921 | + | 0.470614i | ||||
\(895\) | 100.846 | − | 708.361i | 0.112677 | − | 0.791465i | ||||
\(896\) | −91.0158 | + | 66.1268i | −0.101580 | + | 0.0738023i | ||||
\(897\) | −137.897 | − | 21.8408i | −0.153732 | − | 0.0243487i | ||||
\(898\) | −241.834 | − | 123.221i | −0.269303 | − | 0.137217i | ||||
\(899\) | 824.609i | 0.917251i | ||||||||
\(900\) | 142.293 | − | 51.2147i | 0.158103 | − | 0.0569053i | ||||
\(901\) | −408.477 | −0.453360 | ||||||||
\(902\) | −158.215 | + | 310.514i | −0.175404 | + | 0.344251i | ||||
\(903\) | −155.839 | + | 983.930i | −0.172579 | + | 1.08962i | ||||
\(904\) | 193.137 | + | 265.830i | 0.213647 | + | 0.294060i | ||||
\(905\) | 133.866 | + | 767.212i | 0.147918 | + | 0.847748i | ||||
\(906\) | 514.281 | + | 373.647i | 0.567639 | + | 0.412414i | ||||
\(907\) | −1033.81 | − | 1033.81i | −1.13981 | − | 1.13981i | −0.988484 | − | 0.151328i | \(-0.951645\pi\) |
−0.151328 | − | 0.988484i | \(-0.548355\pi\) | |||||||
\(908\) | 328.056 | − | 51.9589i | 0.361295 | − | 0.0572235i | ||||
\(909\) | 208.035 | + | 67.5947i | 0.228862 | + | 0.0743616i | ||||
\(910\) | −20.2509 | − | 1292.62i | −0.0222537 | − | 1.42046i | ||||
\(911\) | 38.6335 | + | 118.902i | 0.0424078 | + | 0.130518i | 0.970019 | − | 0.243030i | \(-0.0781413\pi\) |
−0.927611 | + | 0.373547i | \(0.878141\pi\) | |||||||
\(912\) | −164.047 | + | 83.5863i | −0.179876 | + | 0.0916516i | ||||
\(913\) | −7.45740 | − | 14.6360i | −0.00816801 | − | 0.0160306i | ||||
\(914\) | 127.109 | − | 41.3003i | 0.139069 | − | 0.0451864i | ||||
\(915\) | 222.005 | + | 156.042i | 0.242629 | + | 0.170538i | ||||
\(916\) | 128.110 | − | 394.283i | 0.139858 | − | 0.430440i | ||||
\(917\) | −151.124 | − | 954.157i | −0.164802 | − | 1.04052i | ||||
\(918\) | −469.837 | + | 469.837i | −0.511805 | + | 0.511805i | ||||
\(919\) | 165.018 | − | 227.127i | 0.179562 | − | 0.247146i | −0.709743 | − | 0.704461i | \(-0.751189\pi\) |
0.889305 | + | 0.457315i | \(0.151189\pi\) | |||||||
\(920\) | 20.5554 | + | 38.8265i | 0.0223429 | + | 0.0422027i | ||||
\(921\) | 239.097 | − | 173.714i | 0.259606 | − | 0.188615i | ||||
\(922\) | −177.077 | − | 28.0462i | −0.192057 | − | 0.0304188i | ||||
\(923\) | 749.571 | + | 381.925i | 0.812102 | + | 0.413787i | ||||
\(924\) | 535.128i | 0.579143i | ||||||||
\(925\) | −272.615 | − | 495.985i | −0.294719 | − | 0.536200i | ||||
\(926\) | 421.897 | 0.455613 | ||||||||
\(927\) | −183.113 | + | 359.380i | −0.197533 | + | 0.387680i | ||||
\(928\) | 40.2638 | − | 254.216i | 0.0433877 | − | 0.273939i | ||||
\(929\) | −487.922 | − | 671.567i | −0.525212 | − | 0.722892i | 0.461180 | − | 0.887307i | \(-0.347426\pi\) |
−0.986391 | + | 0.164415i | \(0.947426\pi\) | |||||||
\(930\) | −137.829 | + | 281.314i | −0.148203 | + | 0.302488i | ||||
\(931\) | −759.849 | − | 552.062i | −0.816164 | − | 0.592978i | ||||
\(932\) | −46.2569 | − | 46.2569i | −0.0496319 | − | 0.0496319i | ||||
\(933\) | 639.817 | − | 101.337i | 0.685763 | − | 0.108614i | ||||
\(934\) | 404.170 | + | 131.323i | 0.432730 | + | 0.140603i | ||||
\(935\) | 840.834 | + | 258.714i | 0.899288 | + | 0.276699i | ||||
\(936\) | −48.6045 | − | 149.589i | −0.0519279 | − | 0.159818i | ||||
\(937\) | −1268.27 | + | 646.215i | −1.35354 | + | 0.689663i | −0.972064 | − | 0.234715i | \(-0.924584\pi\) |
−0.381476 | + | 0.924379i | \(0.624584\pi\) | |||||||
\(938\) | −535.584 | − | 1051.14i | −0.570985 | − | 1.12062i | ||||
\(939\) | 302.620 | − | 98.3271i | 0.322279 | − | 0.104715i | ||||
\(940\) | −147.890 | + | 480.650i | −0.157329 | + | 0.511330i | ||||
\(941\) | −273.663 | + | 842.248i | −0.290821 | + | 0.895056i | 0.693772 | + | 0.720195i | \(0.255948\pi\) |
−0.984593 | + | 0.174861i | \(0.944052\pi\) | |||||||
\(942\) | 41.8425 | + | 264.183i | 0.0444188 | + | 0.280449i | ||||
\(943\) | 49.1754 | − | 49.1754i | 0.0521478 | − | 0.0521478i | ||||
\(944\) | −152.207 | + | 209.494i | −0.161236 | + | 0.221922i | ||||
\(945\) | −1312.38 | − | 642.997i | −1.38876 | − | 0.680420i | ||||
\(946\) | 516.140 | − | 374.998i | 0.545603 | − | 0.396404i | ||||
\(947\) | 1151.78 | + | 182.424i | 1.21624 | + | 0.192633i | 0.731386 | − | 0.681964i | \(-0.238874\pi\) |
0.484851 | + | 0.874597i | \(0.338874\pi\) | |||||||
\(948\) | −62.9484 | − | 32.0738i | −0.0664012 | − | 0.0338331i | ||||
\(949\) | − | 1866.38i | − | 1.96668i | ||||||
\(950\) | −583.412 | + | 320.669i | −0.614118 | + | 0.337546i | ||||
\(951\) | −264.180 | −0.277792 | ||||||||
\(952\) | 204.098 | − | 400.565i | 0.214389 | − | 0.420762i | ||||
\(953\) | 67.9658 | − | 429.119i | 0.0713177 | − | 0.450282i | −0.926027 | − | 0.377457i | \(-0.876799\pi\) |
0.997345 | − | 0.0728250i | \(-0.0232015\pi\) | |||||||
\(954\) | −64.2499 | − | 88.4324i | −0.0673479 | − | 0.0926964i | ||||
\(955\) | −535.917 | + | 283.724i | −0.561170 | + | 0.297093i | ||||
\(956\) | −604.286 | − | 439.040i | −0.632099 | − | 0.459247i | ||||
\(957\) | −865.697 | − | 865.697i | −0.904595 | − | 0.904595i | ||||
\(958\) | 273.148 | − | 43.2624i | 0.285123 | − | 0.0451591i | ||||
\(959\) | 488.080 | + | 158.587i | 0.508947 | + | 0.165367i | ||||
\(960\) | 56.2267 | − | 79.9952i | 0.0585695 | − | 0.0833284i | ||||
\(961\) | −195.466 | − | 601.582i | −0.203398 | − | 0.625996i | ||||
\(962\) | −524.485 | + | 267.238i | −0.545202 | + | 0.277795i | ||||
\(963\) | −201.613 | − | 395.688i | −0.209360 | − | 0.410891i | ||||
\(964\) | 627.229 | − | 203.799i | 0.650653 | − | 0.211410i | ||||
\(965\) | 313.330 | − | 4.90880i | 0.324695 | − | 0.00508684i | ||||
\(966\) | 32.9991 | − | 101.561i | 0.0341605 | − | 0.105135i | ||||
\(967\) | −119.482 | − | 754.378i | −0.123559 | − | 0.780122i | −0.969183 | − | 0.246343i | \(-0.920771\pi\) |
0.845624 | − | 0.533780i | \(-0.179229\pi\) | |||||||
\(968\) | 0.330475 | − | 0.330475i | 0.000341400 | − | 0.000341400i | ||||
\(969\) | 432.454 | − | 595.222i | 0.446289 | − | 0.614265i | ||||
\(970\) | 1155.91 | − | 201.688i | 1.19166 | − | 0.207925i | ||||
\(971\) | −633.295 | + | 460.115i | −0.652209 | + | 0.473857i | −0.864023 | − | 0.503453i | \(-0.832063\pi\) |
0.211814 | + | 0.977310i | \(0.432063\pi\) | |||||||
\(972\) | −307.062 | − | 48.6338i | −0.315907 | − | 0.0500348i | ||||
\(973\) | −1681.82 | − | 856.931i | −1.72849 | − | 0.880711i | ||||
\(974\) | − | 481.620i | − | 0.494476i | ||||||
\(975\) | 380.514 | + | 1057.20i | 0.390270 | + | 1.08431i | ||||
\(976\) | −88.8075 | −0.0909913 | ||||||||
\(977\) | −243.958 | + | 478.795i | −0.249701 | + | 0.490067i | −0.981502 | − | 0.191452i | \(-0.938680\pi\) |
0.731801 | + | 0.681519i | \(0.238680\pi\) | |||||||
\(978\) | 47.3615 | − | 299.029i | 0.0484269 | − | 0.305755i | ||||
\(979\) | 1011.64 | + | 1392.40i | 1.03334 | + | 1.42227i | ||||
\(980\) | 493.820 | + | 70.3025i | 0.503898 | + | 0.0717372i | ||||
\(981\) | −444.179 | − | 322.715i | −0.452782 | − | 0.328965i | ||||
\(982\) | 734.246 | + | 734.246i | 0.747705 | + | 0.747705i | ||||
\(983\) | −1205.54 | + | 190.939i | −1.22639 | + | 0.194241i | −0.735829 | − | 0.677168i | \(-0.763207\pi\) |
−0.490559 | + | 0.871408i | \(0.663207\pi\) | |||||||
\(984\) | −147.208 | − | 47.8309i | −0.149602 | − | 0.0486086i | ||||
\(985\) | 84.1700 | + | 112.114i | 0.0854518 | + | 0.113821i | ||||
\(986\) | 317.832 | + | 978.187i | 0.322345 | + | 0.992076i | ||||
\(987\) | 1089.16 | − | 554.953i | 1.10350 | − | 0.562262i | ||||
\(988\) | 314.344 | + | 616.936i | 0.318162 | + | 0.624429i | ||||
\(989\) | −121.082 | + | 39.3418i | −0.122428 | + | 0.0397794i | ||||
\(990\) | 76.2462 | + | 222.728i | 0.0770164 | + | 0.224978i | ||||
\(991\) | 562.687 | − | 1731.77i | 0.567798 | − | 1.74750i | −0.0916915 | − | 0.995787i | \(-0.529227\pi\) |
0.659489 | − | 0.751714i | \(-0.270773\pi\) | |||||||
\(992\) | −16.0379 | − | 101.259i | −0.0161673 | − | 0.102076i | ||||
\(993\) | −611.121 | + | 611.121i | −0.615429 | + | 0.615429i | ||||
\(994\) | −378.211 | + | 520.563i | −0.380494 | + | 0.523705i | ||||
\(995\) | −218.437 | + | 225.390i | −0.219535 | + | 0.226523i | ||||
\(996\) | 5.90233 | − | 4.28829i | 0.00592604 | − | 0.00430552i | ||||
\(997\) | 430.422 | + | 68.1721i | 0.431717 | + | 0.0683772i | 0.368511 | − | 0.929623i | \(-0.379868\pi\) |
0.0632055 | + | 0.998001i | \(0.479868\pi\) | |||||||
\(998\) | 410.299 | + | 209.058i | 0.411121 | + | 0.209477i | ||||
\(999\) | 665.436i | 0.666102i |
(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 | 50.3.f.b.17.3 | yes | 24 | |
4.3 | odd | 2 | 400.3.bg.b.17.1 | 24 | |||
5.2 | odd | 4 | 250.3.f.d.143.1 | 24 | |||
5.3 | odd | 4 | 250.3.f.f.143.3 | 24 | |||
5.4 | even | 2 | 250.3.f.e.107.1 | 24 | |||
25.3 | odd | 20 | inner | 50.3.f.b.3.3 | ✓ | 24 | |
25.4 | even | 10 | 250.3.f.d.7.1 | 24 | |||
25.21 | even | 5 | 250.3.f.f.7.3 | 24 | |||
25.22 | odd | 20 | 250.3.f.e.243.1 | 24 | |||
100.3 | even | 20 | 400.3.bg.b.353.1 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
50.3.f.b.3.3 | ✓ | 24 | 25.3 | odd | 20 | inner | |
50.3.f.b.17.3 | yes | 24 | 1.1 | even | 1 | trivial | |
250.3.f.d.7.1 | 24 | 25.4 | even | 10 | |||
250.3.f.d.143.1 | 24 | 5.2 | odd | 4 | |||
250.3.f.e.107.1 | 24 | 5.4 | even | 2 | |||
250.3.f.e.243.1 | 24 | 25.22 | odd | 20 | |||
250.3.f.f.7.3 | 24 | 25.21 | even | 5 | |||
250.3.f.f.143.3 | 24 | 5.3 | odd | 4 | |||
400.3.bg.b.17.1 | 24 | 4.3 | odd | 2 | |||
400.3.bg.b.353.1 | 24 | 100.3 | even | 20 |