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 | 13.1 | ||
Character | \(\chi\) | \(=\) | 50.13 |
Dual form | 50.3.f.b.27.1 |
$q$-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 \(\left(\mathbb{Z}/50\mathbb{Z}\right)^\times\).
\(n\) | \(27\) |
\(\chi(n)\) | \(e\left(\frac{19}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.39680 | − | 0.221232i | 0.698401 | − | 0.110616i | ||||
\(3\) | −2.14176 | + | 4.20343i | −0.713918 | + | 1.40114i | 0.193578 | + | 0.981085i | \(0.437991\pi\) |
−0.907497 | + | 0.420059i | \(0.862009\pi\) | |||||||
\(4\) | 1.90211 | − | 0.618034i | 0.475528 | − | 0.154508i | ||||
\(5\) | −1.43099 | + | 4.79085i | −0.286197 | + | 0.958171i | ||||
\(6\) | −2.06168 | + | 6.34519i | −0.343613 | + | 1.05753i | ||||
\(7\) | 8.41873 | − | 8.41873i | 1.20268 | − | 1.20268i | 0.229326 | − | 0.973350i | \(-0.426348\pi\) |
0.973350 | − | 0.229326i | \(-0.0736521\pi\) | |||||||
\(8\) | 2.52015 | − | 1.28408i | 0.315018 | − | 0.160510i | ||||
\(9\) | −7.79165 | − | 10.7243i | −0.865739 | − | 1.19159i | ||||
\(10\) | −0.938916 | + | 7.00845i | −0.0938916 | + | 0.700845i | ||||
\(11\) | −8.83615 | − | 6.41984i | −0.803287 | − | 0.583622i | 0.108590 | − | 0.994087i | \(-0.465366\pi\) |
−0.911876 | + | 0.410465i | \(0.865366\pi\) | |||||||
\(12\) | −1.47600 | + | 9.31908i | −0.123000 | + | 0.776590i | ||||
\(13\) | 13.8302 | + | 2.19049i | 1.06386 | + | 0.168499i | 0.663741 | − | 0.747963i | \(-0.268968\pi\) |
0.400122 | + | 0.916462i | \(0.368968\pi\) | |||||||
\(14\) | 9.89681 | − | 13.6218i | 0.706915 | − | 0.972985i | ||||
\(15\) | −17.0732 | − | 16.2759i | −1.13821 | − | 1.08506i | ||||
\(16\) | 3.23607 | − | 2.35114i | 0.202254 | − | 0.146946i | ||||
\(17\) | 4.53099 | + | 8.89257i | 0.266529 | + | 0.523092i | 0.985019 | − | 0.172445i | \(-0.0551666\pi\) |
−0.718490 | + | 0.695537i | \(0.755167\pi\) | |||||||
\(18\) | −13.2560 | − | 13.2560i | −0.736442 | − | 0.736442i | ||||
\(19\) | −14.9790 | − | 4.86698i | −0.788370 | − | 0.256157i | −0.112960 | − | 0.993600i | \(-0.536033\pi\) |
−0.675410 | + | 0.737443i | \(0.736033\pi\) | |||||||
\(20\) | 0.239013 | + | 9.99714i | 0.0119506 | + | 0.499857i | ||||
\(21\) | 17.3567 | + | 53.4184i | 0.826509 | + | 2.54373i | ||||
\(22\) | −13.7626 | − | 7.01241i | −0.625574 | − | 0.318746i | ||||
\(23\) | −1.69189 | − | 10.6822i | −0.0735606 | − | 0.464443i | −0.996781 | − | 0.0801725i | \(-0.974453\pi\) |
0.923220 | − | 0.384271i | \(-0.125547\pi\) | |||||||
\(24\) | 13.3434i | 0.555977i | ||||||||
\(25\) | −20.9046 | − | 13.7113i | −0.836182 | − | 0.548452i | ||||
\(26\) | 19.8027 | 0.761641 | ||||||||
\(27\) | 19.8308 | − | 3.14088i | 0.734473 | − | 0.116329i | ||||
\(28\) | 10.8103 | − | 21.2164i | 0.386083 | − | 0.757730i | ||||
\(29\) | 4.11402 | − | 1.33673i | 0.141863 | − | 0.0460940i | −0.237225 | − | 0.971455i | \(-0.576238\pi\) |
0.379088 | + | 0.925361i | \(0.376238\pi\) | |||||||
\(30\) | −27.4486 | − | 18.9571i | −0.914954 | − | 0.631902i | ||||
\(31\) | 4.02808 | − | 12.3972i | 0.129938 | − | 0.399908i | −0.864830 | − | 0.502064i | \(-0.832574\pi\) |
0.994768 | + | 0.102156i | \(0.0325741\pi\) | |||||||
\(32\) | 4.00000 | − | 4.00000i | 0.125000 | − | 0.125000i | ||||
\(33\) | 45.9102 | − | 23.3924i | 1.39122 | − | 0.708862i | ||||
\(34\) | 8.29622 | + | 11.4188i | 0.244006 | + | 0.335846i | ||||
\(35\) | 28.2858 | + | 52.3800i | 0.808166 | + | 1.49657i | ||||
\(36\) | −21.4486 | − | 15.5833i | −0.595794 | − | 0.432870i | ||||
\(37\) | −3.95354 | + | 24.9617i | −0.106852 | + | 0.674640i | 0.874875 | + | 0.484348i | \(0.160943\pi\) |
−0.981728 | + | 0.190291i | \(0.939057\pi\) | |||||||
\(38\) | −21.9995 | − | 3.48437i | −0.578933 | − | 0.0916940i | ||||
\(39\) | −38.8285 | + | 53.4428i | −0.995603 | + | 1.37033i | ||||
\(40\) | 2.54554 | + | 13.9112i | 0.0636385 | + | 0.347779i | ||||
\(41\) | −21.6147 | + | 15.7040i | −0.527187 | + | 0.383024i | −0.819305 | − | 0.573359i | \(-0.805640\pi\) |
0.292117 | + | 0.956382i | \(0.405640\pi\) | |||||||
\(42\) | 36.0617 | + | 70.7751i | 0.858612 | + | 1.68512i | ||||
\(43\) | 21.2302 | + | 21.2302i | 0.493726 | + | 0.493726i | 0.909478 | − | 0.415752i | \(-0.136481\pi\) |
−0.415752 | + | 0.909478i | \(0.636481\pi\) | |||||||
\(44\) | −20.7750 | − | 6.75022i | −0.472160 | − | 0.153414i | ||||
\(45\) | 62.5282 | − | 21.9824i | 1.38952 | − | 0.488497i | ||||
\(46\) | −4.72648 | − | 14.5466i | −0.102750 | − | 0.316231i | ||||
\(47\) | −46.4137 | − | 23.6489i | −0.987525 | − | 0.503169i | −0.115857 | − | 0.993266i | \(-0.536961\pi\) |
−0.871668 | + | 0.490097i | \(0.836961\pi\) | |||||||
\(48\) | 2.95199 | + | 18.6382i | 0.0614999 | + | 0.388295i | ||||
\(49\) | − | 92.7500i | − | 1.89286i | ||||||
\(50\) | −32.2329 | − | 14.5272i | −0.644658 | − | 0.290544i | ||||
\(51\) | −47.0836 | −0.923208 | ||||||||
\(52\) | 27.6604 | − | 4.38098i | 0.531931 | − | 0.0842496i | ||||
\(53\) | −15.6773 | + | 30.7684i | −0.295797 | + | 0.580535i | −0.990298 | − | 0.138957i | \(-0.955625\pi\) |
0.694501 | + | 0.719492i | \(0.255625\pi\) | |||||||
\(54\) | 27.0048 | − | 8.77439i | 0.500089 | − | 0.162489i | ||||
\(55\) | 43.4009 | − | 33.1460i | 0.789108 | − | 0.602655i | ||||
\(56\) | 10.4061 | − | 32.0267i | 0.185824 | − | 0.571906i | ||||
\(57\) | 52.5394 | − | 52.5394i | 0.921744 | − | 0.921744i | ||||
\(58\) | 5.45074 | − | 2.77729i | 0.0939784 | − | 0.0478844i | ||||
\(59\) | 8.92677 | + | 12.2866i | 0.151301 | + | 0.208248i | 0.877939 | − | 0.478772i | \(-0.158918\pi\) |
−0.726638 | + | 0.687021i | \(0.758918\pi\) | |||||||
\(60\) | −42.5342 | − | 20.4068i | −0.708904 | − | 0.340113i | ||||
\(61\) | −47.6752 | − | 34.6380i | −0.781560 | − | 0.567837i | 0.123887 | − | 0.992296i | \(-0.460464\pi\) |
−0.905447 | + | 0.424460i | \(0.860464\pi\) | |||||||
\(62\) | 2.88379 | − | 18.2075i | 0.0465127 | − | 0.293670i | ||||
\(63\) | −155.881 | − | 24.6891i | −2.47430 | − | 0.391890i | ||||
\(64\) | 4.70228 | − | 6.47214i | 0.0734732 | − | 0.101127i | ||||
\(65\) | −30.2852 | + | 63.1240i | −0.465926 | + | 0.971138i | ||||
\(66\) | 58.9524 | − | 42.8314i | 0.893218 | − | 0.648961i | ||||
\(67\) | −44.1187 | − | 86.5878i | −0.658488 | − | 1.29236i | −0.942715 | − | 0.333599i | \(-0.891737\pi\) |
0.284227 | − | 0.958757i | \(-0.408263\pi\) | |||||||
\(68\) | 14.1144 | + | 14.1144i | 0.207564 | + | 0.207564i | ||||
\(69\) | 48.5255 | + | 15.7669i | 0.703268 | + | 0.228506i | ||||
\(70\) | 51.0978 | + | 66.9068i | 0.729969 | + | 0.955811i | ||||
\(71\) | 20.2698 | + | 62.3839i | 0.285490 | + | 0.878647i | 0.986251 | + | 0.165252i | \(0.0528436\pi\) |
−0.700762 | + | 0.713395i | \(0.747156\pi\) | |||||||
\(72\) | −33.4069 | − | 17.0217i | −0.463985 | − | 0.236412i | ||||
\(73\) | 12.5050 | + | 78.9533i | 0.171301 | + | 1.08155i | 0.912143 | + | 0.409872i | \(0.134427\pi\) |
−0.740842 | + | 0.671679i | \(0.765573\pi\) | |||||||
\(74\) | 35.7412i | 0.482989i | ||||||||
\(75\) | 102.407 | − | 58.5046i | 1.36543 | − | 0.780062i | ||||
\(76\) | −31.4998 | −0.414470 | ||||||||
\(77\) | −128.436 | + | 20.3423i | −1.66800 | + | 0.264185i | ||||
\(78\) | −42.4125 | + | 83.2392i | −0.543750 | + | 1.06717i | ||||
\(79\) | 16.9345 | − | 5.50235i | 0.214361 | − | 0.0696500i | −0.199868 | − | 0.979823i | \(-0.564051\pi\) |
0.414229 | + | 0.910173i | \(0.364051\pi\) | |||||||
\(80\) | 6.63320 | + | 18.8680i | 0.0829151 | + | 0.235850i | ||||
\(81\) | 7.59667 | − | 23.3801i | 0.0937860 | − | 0.288644i | ||||
\(82\) | −26.7172 | + | 26.7172i | −0.325820 | + | 0.325820i | ||||
\(83\) | 88.9040 | − | 45.2989i | 1.07113 | − | 0.545769i | 0.172742 | − | 0.984967i | \(-0.444737\pi\) |
0.898390 | + | 0.439198i | \(0.144737\pi\) | |||||||
\(84\) | 66.0288 | + | 90.8808i | 0.786057 | + | 1.08191i | ||||
\(85\) | −49.0868 | + | 8.98217i | −0.577492 | + | 0.105673i | ||||
\(86\) | 34.3512 | + | 24.9576i | 0.399433 | + | 0.290205i | ||||
\(87\) | −3.19239 | + | 20.1559i | −0.0366941 | + | 0.231677i | ||||
\(88\) | −30.5120 | − | 4.83262i | −0.346727 | − | 0.0549162i | ||||
\(89\) | −6.44619 | + | 8.87242i | −0.0724291 | + | 0.0996901i | −0.843695 | − | 0.536824i | \(-0.819624\pi\) |
0.771265 | + | 0.636514i | \(0.219624\pi\) | |||||||
\(90\) | 82.4764 | − | 44.5382i | 0.916404 | − | 0.494869i | ||||
\(91\) | 134.874 | − | 97.9917i | 1.48213 | − | 1.07683i | ||||
\(92\) | −9.82014 | − | 19.2731i | −0.106741 | − | 0.209490i | ||||
\(93\) | 43.4834 | + | 43.4834i | 0.467564 | + | 0.467564i | ||||
\(94\) | −70.0626 | − | 22.7647i | −0.745347 | − | 0.242178i | ||||
\(95\) | 44.7518 | − | 64.7977i | 0.471071 | − | 0.682081i | ||||
\(96\) | 8.24670 | + | 25.3807i | 0.0859032 | + | 0.264383i | ||||
\(97\) | 117.203 | + | 59.7179i | 1.20828 | + | 0.615649i | 0.937833 | − | 0.347087i | \(-0.112829\pi\) |
0.270446 | + | 0.962735i | \(0.412829\pi\) | |||||||
\(98\) | −20.5192 | − | 129.553i | −0.209380 | − | 1.32197i | ||||
\(99\) | 144.783i | 1.46245i | ||||||||
\(100\) | −48.2369 | − | 13.1607i | −0.482369 | − | 0.131607i | ||||
\(101\) | 85.6222 | 0.847745 | 0.423872 | − | 0.905722i | \(-0.360670\pi\) | ||||
0.423872 | + | 0.905722i | \(0.360670\pi\) | |||||||
\(102\) | −65.7665 | + | 10.4164i | −0.644769 | + | 0.102121i | ||||
\(103\) | −54.4018 | + | 106.770i | −0.528173 | + | 1.03660i | 0.460661 | + | 0.887576i | \(0.347612\pi\) |
−0.988834 | + | 0.149022i | \(0.952388\pi\) | |||||||
\(104\) | 37.6669 | − | 12.2387i | 0.362182 | − | 0.117680i | ||||
\(105\) | −280.757 | + | 6.71237i | −2.67388 | + | 0.0639274i | ||||
\(106\) | −15.0911 | + | 46.4456i | −0.142369 | + | 0.438166i | ||||
\(107\) | −132.988 | + | 132.988i | −1.24288 | + | 1.24288i | −0.284080 | + | 0.958801i | \(0.591688\pi\) |
−0.958801 | + | 0.284080i | \(0.908312\pi\) | |||||||
\(108\) | 35.7792 | − | 18.2304i | 0.331289 | − | 0.168800i | ||||
\(109\) | 3.40517 | + | 4.68682i | 0.0312401 | + | 0.0429983i | 0.824351 | − | 0.566078i | \(-0.191540\pi\) |
−0.793111 | + | 0.609077i | \(0.791540\pi\) | |||||||
\(110\) | 53.2896 | − | 55.9001i | 0.484451 | − | 0.508183i | ||||
\(111\) | −96.4572 | − | 70.0802i | −0.868984 | − | 0.631354i | ||||
\(112\) | 7.44996 | − | 47.0372i | 0.0665175 | − | 0.419975i | ||||
\(113\) | 93.3335 | + | 14.7826i | 0.825961 | + | 0.130819i | 0.555083 | − | 0.831795i | \(-0.312686\pi\) |
0.270877 | + | 0.962614i | \(0.412686\pi\) | |||||||
\(114\) | 61.7638 | − | 85.0106i | 0.541788 | − | 0.745707i | ||||
\(115\) | 53.5979 | + | 7.18046i | 0.466069 | + | 0.0624388i | ||||
\(116\) | 6.99919 | − | 5.08521i | 0.0603378 | − | 0.0438380i | ||||
\(117\) | −84.2687 | − | 165.387i | −0.720246 | − | 1.41356i | ||||
\(118\) | 15.1871 | + | 15.1871i | 0.128705 | + | 0.128705i | ||||
\(119\) | 113.009 | + | 36.7190i | 0.949658 | + | 0.308563i | ||||
\(120\) | −63.9265 | − | 19.0943i | −0.532721 | − | 0.159119i | ||||
\(121\) | −0.527824 | − | 1.62448i | −0.00436218 | − | 0.0134254i | ||||
\(122\) | −74.2558 | − | 37.8352i | −0.608654 | − | 0.310125i | ||||
\(123\) | −19.7173 | − | 124.490i | −0.160303 | − | 1.01211i | ||||
\(124\) | − | 26.0703i | − | 0.210244i | ||||||
\(125\) | 95.6029 | − | 80.5300i | 0.764823 | − | 0.644240i | ||||
\(126\) | −223.197 | −1.77140 | ||||||||
\(127\) | 227.247 | − | 35.9923i | 1.78934 | − | 0.283404i | 0.828397 | − | 0.560141i | \(-0.189253\pi\) |
0.960946 | + | 0.276737i | \(0.0892532\pi\) | |||||||
\(128\) | 5.13632 | − | 10.0806i | 0.0401275 | − | 0.0787546i | ||||
\(129\) | −134.710 | + | 43.7699i | −1.04426 | + | 0.339301i | ||||
\(130\) | −28.3374 | + | 94.8717i | −0.217980 | + | 0.729782i | ||||
\(131\) | −22.6296 | + | 69.6469i | −0.172745 | + | 0.531656i | −0.999523 | − | 0.0308728i | \(-0.990171\pi\) |
0.826778 | + | 0.562528i | \(0.190171\pi\) | |||||||
\(132\) | 72.8691 | − | 72.8691i | 0.552039 | − | 0.552039i | ||||
\(133\) | −167.078 | + | 85.1305i | −1.25623 | + | 0.640079i | ||||
\(134\) | −80.7811 | − | 111.186i | −0.602844 | − | 0.829743i | ||||
\(135\) | −13.3300 | + | 99.5009i | −0.0987410 | + | 0.737043i | ||||
\(136\) | 22.8375 | + | 16.5924i | 0.167923 | + | 0.122003i | ||||
\(137\) | 11.3116 | − | 71.4189i | 0.0825667 | − | 0.521306i | −0.911391 | − | 0.411542i | \(-0.864990\pi\) |
0.993958 | − | 0.109764i | \(-0.0350095\pi\) | |||||||
\(138\) | 71.2687 | + | 11.2879i | 0.516440 | + | 0.0817960i | ||||
\(139\) | −31.0454 | + | 42.7304i | −0.223349 | + | 0.307413i | −0.905956 | − | 0.423373i | \(-0.860846\pi\) |
0.682607 | + | 0.730786i | \(0.260846\pi\) | |||||||
\(140\) | 86.1754 | + | 82.1511i | 0.615539 | + | 0.586793i | ||||
\(141\) | 198.813 | − | 144.446i | 1.41002 | − | 1.02444i | ||||
\(142\) | 42.1142 | + | 82.6537i | 0.296579 | + | 0.582068i | ||||
\(143\) | −108.143 | − | 108.143i | −0.756247 | − | 0.756247i | ||||
\(144\) | −50.4286 | − | 16.3853i | −0.350199 | − | 0.113786i | ||||
\(145\) | 0.516953 | + | 21.6225i | 0.00356520 | + | 0.149121i | ||||
\(146\) | 34.9339 | + | 107.516i | 0.239274 | + | 0.736408i | ||||
\(147\) | 389.868 | + | 198.648i | 2.65216 | + | 1.35135i | ||||
\(148\) | 7.90708 | + | 49.9234i | 0.0534262 | + | 0.337320i | ||||
\(149\) | − | 250.778i | − | 1.68307i | −0.540202 | − | 0.841536i | \(-0.681652\pi\) | ||
0.540202 | − | 0.841536i | \(-0.318348\pi\) | |||||||
\(150\) | 130.099 | − | 104.375i | 0.867327 | − | 0.695834i | ||||
\(151\) | −279.436 | −1.85057 | −0.925286 | − | 0.379269i | \(-0.876175\pi\) | ||||
−0.925286 | + | 0.379269i | \(0.876175\pi\) | |||||||
\(152\) | −43.9989 | + | 6.96874i | −0.289467 | + | 0.0458470i | ||||
\(153\) | 60.0626 | − | 117.879i | 0.392566 | − | 0.770454i | ||||
\(154\) | −174.899 | + | 56.8283i | −1.13571 | + | 0.369015i | ||||
\(155\) | 53.6288 | + | 37.0381i | 0.345992 | + | 0.238955i | ||||
\(156\) | −40.8267 | + | 125.652i | −0.261710 | + | 0.805459i | ||||
\(157\) | −181.969 | + | 181.969i | −1.15904 | + | 1.15904i | −0.174358 | + | 0.984682i | \(0.555785\pi\) |
−0.984682 | + | 0.174358i | \(0.944215\pi\) | |||||||
\(158\) | 22.4368 | − | 11.4321i | 0.142005 | − | 0.0723553i | ||||
\(159\) | −95.7558 | − | 131.797i | −0.602238 | − | 0.828909i | ||||
\(160\) | 13.4395 | + | 24.8874i | 0.0839967 | + | 0.155546i | ||||
\(161\) | −104.174 | − | 75.6869i | −0.647044 | − | 0.470105i | ||||
\(162\) | 5.43862 | − | 34.3381i | 0.0335717 | − | 0.211963i | ||||
\(163\) | 56.7560 | + | 8.98926i | 0.348196 | + | 0.0551488i | 0.328083 | − | 0.944649i | \(-0.393597\pi\) |
0.0201130 | + | 0.999798i | \(0.493597\pi\) | |||||||
\(164\) | −31.4080 | + | 43.2293i | −0.191512 | + | 0.263594i | ||||
\(165\) | 46.3728 | + | 253.423i | 0.281047 | + | 1.53590i | ||||
\(166\) | 114.160 | − | 82.9419i | 0.687710 | − | 0.499650i | ||||
\(167\) | 97.8251 | + | 191.993i | 0.585779 | + | 1.14966i | 0.973672 | + | 0.227952i | \(0.0732028\pi\) |
−0.387894 | + | 0.921704i | \(0.626797\pi\) | |||||||
\(168\) | 112.335 | + | 112.335i | 0.668660 | + | 0.668660i | ||||
\(169\) | 25.7479 | + | 8.36602i | 0.152355 | + | 0.0495031i | ||||
\(170\) | −66.5774 | + | 23.4059i | −0.391632 | + | 0.137682i | ||||
\(171\) | 64.5164 | + | 198.561i | 0.377289 | + | 1.16118i | ||||
\(172\) | 53.5033 | + | 27.2613i | 0.311066 | + | 0.158496i | ||||
\(173\) | −39.6355 | − | 250.249i | −0.229107 | − | 1.44653i | −0.787175 | − | 0.616730i | \(-0.788457\pi\) |
0.558067 | − | 0.829796i | \(-0.311543\pi\) | |||||||
\(174\) | 28.8601i | 0.165863i | ||||||||
\(175\) | −291.421 | + | 60.5582i | −1.66527 | + | 0.346047i | ||||
\(176\) | −43.6883 | −0.248229 | ||||||||
\(177\) | −70.7651 | + | 11.2081i | −0.399803 | + | 0.0633225i | ||||
\(178\) | −7.04119 | + | 13.8191i | −0.0395572 | + | 0.0776355i | ||||
\(179\) | 176.540 | − | 57.3613i | 0.986256 | − | 0.320454i | 0.228896 | − | 0.973451i | \(-0.426489\pi\) |
0.757361 | + | 0.652997i | \(0.226489\pi\) | |||||||
\(180\) | 105.350 | − | 80.4575i | 0.585277 | − | 0.446986i | ||||
\(181\) | −54.7245 | + | 168.425i | −0.302346 | + | 0.930524i | 0.678309 | + | 0.734777i | \(0.262713\pi\) |
−0.980654 | + | 0.195747i | \(0.937287\pi\) | |||||||
\(182\) | 166.713 | − | 166.713i | 0.916008 | − | 0.916008i | ||||
\(183\) | 247.707 | − | 126.213i | 1.35359 | − | 0.689689i | ||||
\(184\) | −17.9806 | − | 24.7482i | −0.0977207 | − | 0.134501i | ||||
\(185\) | −113.930 | − | 54.6607i | −0.615839 | − | 0.295463i | ||||
\(186\) | 70.3577 | + | 51.1178i | 0.378267 | + | 0.274827i | ||||
\(187\) | 17.0524 | − | 107.664i | 0.0911891 | − | 0.575745i | ||||
\(188\) | −102.900 | − | 16.2977i | −0.547340 | − | 0.0866901i | ||||
\(189\) | 140.508 | − | 193.392i | 0.743426 | − | 1.02324i | ||||
\(190\) | 48.1740 | − | 100.410i | 0.253548 | − | 0.528474i | ||||
\(191\) | −188.360 | + | 136.852i | −0.986179 | + | 0.716501i | −0.959081 | − | 0.283132i | \(-0.908627\pi\) |
−0.0270979 | + | 0.999633i | \(0.508627\pi\) | |||||||
\(192\) | 17.1340 | + | 33.6275i | 0.0892398 | + | 0.175143i | ||||
\(193\) | 150.137 | + | 150.137i | 0.777914 | + | 0.777914i | 0.979476 | − | 0.201562i | \(-0.0646017\pi\) |
−0.201562 | + | 0.979476i | \(0.564602\pi\) | |||||||
\(194\) | 176.921 | + | 57.4851i | 0.911964 | + | 0.296315i | ||||
\(195\) | −200.474 | − | 262.498i | −1.02807 | − | 1.34614i | ||||
\(196\) | −57.3226 | − | 176.421i | −0.292462 | − | 0.900107i | ||||
\(197\) | −207.677 | − | 105.817i | −1.05420 | − | 0.537141i | −0.161070 | − | 0.986943i | \(-0.551494\pi\) |
−0.893128 | + | 0.449802i | \(0.851494\pi\) | |||||||
\(198\) | 32.0305 | + | 202.233i | 0.161770 | + | 1.02138i | ||||
\(199\) | 158.777i | 0.797875i | 0.916978 | + | 0.398938i | \(0.130621\pi\) | ||||
−0.916978 | + | 0.398938i | \(0.869379\pi\) | |||||||
\(200\) | −70.2889 | − | 7.71136i | −0.351445 | − | 0.0385568i | ||||
\(201\) | 458.457 | 2.28088 | ||||||||
\(202\) | 119.597 | − | 18.9424i | 0.592066 | − | 0.0937740i | ||||
\(203\) | 23.3813 | − | 45.8883i | 0.115179 | − | 0.226051i | ||||
\(204\) | −89.5583 | + | 29.0993i | −0.439011 | + | 0.142643i | ||||
\(205\) | −44.3052 | − | 126.025i | −0.216123 | − | 0.614756i | ||||
\(206\) | −52.3678 | + | 161.171i | −0.254212 | + | 0.782386i | ||||
\(207\) | −101.376 | + | 101.376i | −0.489741 | + | 0.489741i | ||||
\(208\) | 49.9057 | − | 25.4282i | 0.239931 | − | 0.122251i | ||||
\(209\) | 101.112 | + | 139.168i | 0.483788 | + | 0.665877i | ||||
\(210\) | −390.677 | + | 71.4882i | −1.86037 | + | 0.340420i | ||||
\(211\) | 120.250 | + | 87.3667i | 0.569905 | + | 0.414060i | 0.835071 | − | 0.550143i | \(-0.185427\pi\) |
−0.265166 | + | 0.964203i | \(0.585427\pi\) | |||||||
\(212\) | −10.8040 | + | 68.2140i | −0.0509624 | + | 0.321764i | ||||
\(213\) | −305.640 | − | 48.4085i | −1.43493 | − | 0.227270i | ||||
\(214\) | −156.337 | + | 215.179i | −0.730547 | + | 1.00551i | ||||
\(215\) | −132.091 | + | 71.3308i | −0.614377 | + | 0.331771i | ||||
\(216\) | 45.9433 | − | 33.3798i | 0.212700 | − | 0.154536i | ||||
\(217\) | −70.4570 | − | 138.280i | −0.324686 | − | 0.637233i | ||||
\(218\) | 5.79323 | + | 5.79323i | 0.0265744 | + | 0.0265744i | ||||
\(219\) | −358.657 | − | 116.535i | −1.63770 | − | 0.532122i | ||||
\(220\) | 62.0681 | − | 89.8707i | 0.282128 | − | 0.408503i | ||||
\(221\) | 43.1855 | + | 132.911i | 0.195409 | + | 0.601408i | ||||
\(222\) | −150.236 | − | 76.5489i | −0.676737 | − | 0.344815i | ||||
\(223\) | −61.3358 | − | 387.259i | −0.275048 | − | 1.73659i | −0.608263 | − | 0.793735i | \(-0.708134\pi\) |
0.333215 | − | 0.942851i | \(-0.391866\pi\) | |||||||
\(224\) | − | 67.3498i | − | 0.300669i | ||||||
\(225\) | 15.8372 | + | 331.020i | 0.0703875 | + | 1.47120i | ||||
\(226\) | 133.639 | 0.591322 | ||||||||
\(227\) | 96.9149 | − | 15.3498i | 0.426938 | − | 0.0676203i | 0.0607318 | − | 0.998154i | \(-0.480657\pi\) |
0.366206 | + | 0.930534i | \(0.380657\pi\) | |||||||
\(228\) | 67.4648 | − | 132.407i | 0.295898 | − | 0.580733i | ||||
\(229\) | 166.723 | − | 54.1716i | 0.728048 | − | 0.236557i | 0.0785390 | − | 0.996911i | \(-0.474974\pi\) |
0.649509 | + | 0.760354i | \(0.274974\pi\) | |||||||
\(230\) | 76.4543 | − | 1.82788i | 0.332410 | − | 0.00794730i | ||||
\(231\) | 189.571 | − | 583.440i | 0.820655 | − | 2.52572i | ||||
\(232\) | 8.65147 | − | 8.65147i | 0.0372908 | − | 0.0372908i | ||||
\(233\) | −247.354 | + | 126.033i | −1.06161 | + | 0.540916i | −0.895440 | − | 0.445182i | \(-0.853139\pi\) |
−0.166167 | + | 0.986098i | \(0.553139\pi\) | |||||||
\(234\) | −154.296 | − | 212.370i | −0.659383 | − | 0.907562i | ||||
\(235\) | 179.716 | − | 188.520i | 0.764749 | − | 0.802212i | ||||
\(236\) | 24.5733 | + | 17.8535i | 0.104124 | + | 0.0756506i | ||||
\(237\) | −13.1408 | + | 82.9677i | −0.0554464 | + | 0.350074i | ||||
\(238\) | 165.975 | + | 26.2879i | 0.697374 | + | 0.110453i | ||||
\(239\) | 87.3521 | − | 120.230i | 0.365490 | − | 0.503054i | −0.586178 | − | 0.810182i | \(-0.699368\pi\) |
0.951668 | + | 0.307128i | \(0.0993681\pi\) | |||||||
\(240\) | −93.5169 | − | 12.5284i | −0.389654 | − | 0.0522016i | ||||
\(241\) | −29.7040 | + | 21.5812i | −0.123253 | + | 0.0895488i | −0.647704 | − | 0.761892i | \(-0.724271\pi\) |
0.524451 | + | 0.851441i | \(0.324271\pi\) | |||||||
\(242\) | −1.09665 | − | 2.15230i | −0.00453162 | − | 0.00889380i | ||||
\(243\) | 209.782 | + | 209.782i | 0.863300 | + | 0.863300i | ||||
\(244\) | −112.091 | − | 36.4206i | −0.459389 | − | 0.149265i | ||||
\(245\) | 444.352 | + | 132.724i | 1.81368 | + | 0.541730i | ||||
\(246\) | −55.0822 | − | 169.526i | −0.223911 | − | 0.689129i | ||||
\(247\) | −196.502 | − | 100.123i | −0.795555 | − | 0.405355i | ||||
\(248\) | −5.76757 | − | 36.4150i | −0.0232563 | − | 0.146835i | ||||
\(249\) | 470.721i | 1.89045i | ||||||||
\(250\) | 115.723 | − | 133.635i | 0.462890 | − | 0.534540i | ||||
\(251\) | −354.053 | −1.41057 | −0.705286 | − | 0.708923i | \(-0.749181\pi\) | ||||
−0.705286 | + | 0.708923i | \(0.749181\pi\) | |||||||
\(252\) | −311.761 | + | 49.3782i | −1.23715 | + | 0.195945i | ||||
\(253\) | −53.6282 | + | 105.251i | −0.211969 | + | 0.416013i | ||||
\(254\) | 309.456 | − | 100.548i | 1.21833 | − | 0.395859i | ||||
\(255\) | 67.3760 | − | 225.571i | 0.264219 | − | 0.884590i | ||||
\(256\) | 4.94427 | − | 15.2169i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 125.873 | − | 125.873i | 0.489778 | − | 0.489778i | −0.418458 | − | 0.908236i | \(-0.637429\pi\) |
0.908236 | + | 0.418458i | \(0.137429\pi\) | |||||||
\(258\) | −178.480 | + | 90.9399i | −0.691782 | + | 0.352480i | ||||
\(259\) | 176.862 | + | 243.429i | 0.682864 | + | 0.939882i | ||||
\(260\) | −18.5930 | + | 138.786i | −0.0715117 | + | 0.533793i | ||||
\(261\) | −46.3904 | − | 33.7046i | −0.177741 | − | 0.129136i | ||||
\(262\) | −16.2010 | + | 102.289i | −0.0618360 | + | 0.390417i | ||||
\(263\) | 102.171 | + | 16.1822i | 0.388482 | + | 0.0615295i | 0.347620 | − | 0.937635i | \(-0.386990\pi\) |
0.0408614 | + | 0.999165i | \(0.486990\pi\) | |||||||
\(264\) | 85.6628 | − | 117.905i | 0.324480 | − | 0.446609i | ||||
\(265\) | −124.973 | − | 119.137i | −0.471595 | − | 0.449572i | ||||
\(266\) | −214.541 | + | 155.874i | −0.806547 | + | 0.585991i | ||||
\(267\) | −23.4884 | − | 46.0987i | −0.0879717 | − | 0.172654i | ||||
\(268\) | −137.433 | − | 137.433i | −0.512810 | − | 0.512810i | ||||
\(269\) | 23.0012 | + | 7.47355i | 0.0855064 | + | 0.0277827i | 0.351458 | − | 0.936204i | \(-0.385686\pi\) |
−0.265951 | + | 0.963986i | \(0.585686\pi\) | |||||||
\(270\) | 3.39333 | + | 141.932i | 0.0125679 | + | 0.525674i | ||||
\(271\) | 54.0115 | + | 166.230i | 0.199305 | + | 0.613396i | 0.999899 | + | 0.0141902i | \(0.00451704\pi\) |
−0.800595 | + | 0.599206i | \(0.795483\pi\) | |||||||
\(272\) | 35.5703 | + | 18.1240i | 0.130773 | + | 0.0666322i | ||||
\(273\) | 123.034 | + | 776.808i | 0.450675 | + | 2.84545i | ||||
\(274\) | − | 102.261i | − | 0.373214i | ||||||
\(275\) | 96.6915 | + | 255.359i | 0.351606 | + | 0.928578i | ||||
\(276\) | 102.045 | 0.369730 | ||||||||
\(277\) | 365.152 | − | 57.8343i | 1.31824 | − | 0.208788i | 0.542613 | − | 0.839983i | \(-0.317435\pi\) |
0.775624 | + | 0.631195i | \(0.217435\pi\) | |||||||
\(278\) | −33.9110 | + | 66.5541i | −0.121982 | + | 0.239403i | ||||
\(279\) | −164.336 | + | 53.3960i | −0.589018 | + | 0.191384i | ||||
\(280\) | 138.544 | + | 95.6840i | 0.494802 | + | 0.341729i | ||||
\(281\) | 89.3268 | − | 274.920i | 0.317889 | − | 0.978362i | −0.656660 | − | 0.754187i | \(-0.728031\pi\) |
0.974549 | − | 0.224175i | \(-0.0719688\pi\) | |||||||
\(282\) | 245.747 | − | 245.747i | 0.871443 | − | 0.871443i | ||||
\(283\) | −260.171 | + | 132.564i | −0.919334 | + | 0.468424i | −0.848578 | − | 0.529070i | \(-0.822541\pi\) |
−0.0707553 | + | 0.997494i | \(0.522541\pi\) | |||||||
\(284\) | 77.1108 | + | 106.134i | 0.271517 | + | 0.373711i | ||||
\(285\) | 176.525 | + | 326.892i | 0.619388 | + | 1.14699i | ||||
\(286\) | −174.979 | − | 127.130i | −0.611816 | − | 0.444511i | ||||
\(287\) | −49.7605 | + | 314.176i | −0.173382 | + | 1.09469i | ||||
\(288\) | −74.0638 | − | 11.7305i | −0.257166 | − | 0.0407311i | ||||
\(289\) | 111.322 | − | 153.222i | 0.385197 | − | 0.530179i | ||||
\(290\) | 5.50566 | + | 30.0880i | 0.0189851 | + | 0.103752i | ||||
\(291\) | −502.040 | + | 364.754i | −1.72522 | + | 1.25345i | ||||
\(292\) | 72.5817 | + | 142.450i | 0.248567 | + | 0.487841i | ||||
\(293\) | −97.8910 | − | 97.8910i | −0.334099 | − | 0.334099i | 0.520042 | − | 0.854141i | \(-0.325916\pi\) |
−0.854141 | + | 0.520042i | \(0.825916\pi\) | |||||||
\(294\) | 588.516 | + | 191.220i | 2.00176 | + | 0.650410i | ||||
\(295\) | −71.6376 | + | 25.1848i | −0.242839 | + | 0.0853723i | ||||
\(296\) | 22.0893 | + | 67.9838i | 0.0746259 | + | 0.229675i | ||||
\(297\) | −195.392 | − | 99.5570i | −0.657884 | − | 0.335209i | ||||
\(298\) | −55.4800 | − | 350.287i | −0.186174 | − | 1.17546i | ||||
\(299\) | − | 151.443i | − | 0.506499i | ||||||
\(300\) | 158.632 | − | 174.573i | 0.528772 | − | 0.581911i | ||||
\(301\) | 357.463 | 1.18759 | ||||||||
\(302\) | −390.318 | + | 61.8202i | −1.29244 | + | 0.204703i | ||||
\(303\) | −183.382 | + | 359.907i | −0.605221 | + | 1.18781i | ||||
\(304\) | −59.9161 | + | 19.4679i | −0.197092 | + | 0.0640392i | ||||
\(305\) | 234.168 | − | 178.838i | 0.767765 | − | 0.586355i | ||||
\(306\) | 57.8169 | − | 177.942i | 0.188944 | − | 0.581510i | ||||
\(307\) | 158.687 | − | 158.687i | 0.516896 | − | 0.516896i | −0.399735 | − | 0.916631i | \(-0.630898\pi\) |
0.916631 | + | 0.399735i | \(0.130898\pi\) | |||||||
\(308\) | −231.728 | + | 118.071i | −0.752363 | + | 0.383348i | ||||
\(309\) | −332.283 | − | 457.349i | −1.07535 | − | 1.48009i | ||||
\(310\) | 83.1029 | + | 39.8705i | 0.268074 | + | 0.128615i | ||||
\(311\) | −108.299 | − | 78.6839i | −0.348229 | − | 0.253003i | 0.399897 | − | 0.916560i | \(-0.369046\pi\) |
−0.748126 | + | 0.663557i | \(0.769046\pi\) | |||||||
\(312\) | −29.2287 | + | 184.543i | −0.0936817 | + | 0.591483i | ||||
\(313\) | 455.593 | + | 72.1588i | 1.45557 | + | 0.230539i | 0.833542 | − | 0.552457i | \(-0.186310\pi\) |
0.622027 | + | 0.782996i | \(0.286310\pi\) | |||||||
\(314\) | −213.918 | + | 294.433i | −0.681267 | + | 0.937683i | ||||
\(315\) | 341.345 | − | 711.472i | 1.08363 | − | 2.25864i | ||||
\(316\) | 28.8107 | − | 20.9322i | 0.0911730 | − | 0.0662411i | ||||
\(317\) | −30.6244 | − | 60.1038i | −0.0966070 | − | 0.189602i | 0.837645 | − | 0.546214i | \(-0.183932\pi\) |
−0.934252 | + | 0.356613i | \(0.883932\pi\) | |||||||
\(318\) | −162.910 | − | 162.910i | −0.512294 | − | 0.512294i | ||||
\(319\) | −44.9337 | − | 14.5998i | −0.140858 | − | 0.0457675i | ||||
\(320\) | 24.2782 | + | 31.7895i | 0.0758692 | + | 0.0993421i | ||||
\(321\) | −274.179 | − | 843.835i | −0.854139 | − | 2.62877i | ||||
\(322\) | −162.255 | − | 82.6731i | −0.503898 | − | 0.256749i | ||||
\(323\) | −24.5899 | − | 155.254i | −0.0761296 | − | 0.480663i | ||||
\(324\) | − | 49.1667i | − | 0.151749i | ||||||
\(325\) | −259.080 | − | 235.421i | −0.797169 | − | 0.724373i | ||||
\(326\) | 81.2656 | 0.249281 | ||||||||
\(327\) | −26.9938 | + | 4.27539i | −0.0825498 | + | 0.0130746i | ||||
\(328\) | −34.3070 | + | 67.3313i | −0.104595 | + | 0.205278i | ||||
\(329\) | −589.838 | + | 191.650i | −1.79282 | + | 0.582523i | ||||
\(330\) | 120.839 | + | 343.723i | 0.366179 | + | 1.04159i | ||||
\(331\) | 60.5799 | − | 186.446i | 0.183021 | − | 0.563280i | −0.816888 | − | 0.576797i | \(-0.804303\pi\) |
0.999909 | + | 0.0135163i | \(0.00430251\pi\) | |||||||
\(332\) | 141.109 | − | 141.109i | 0.425028 | − | 0.425028i | ||||
\(333\) | 298.501 | − | 152.094i | 0.896399 | − | 0.456738i | ||||
\(334\) | 179.117 | + | 246.534i | 0.536279 | + | 0.738124i | ||||
\(335\) | 477.963 | − | 87.4603i | 1.42675 | − | 0.261075i | ||||
\(336\) | 181.762 | + | 132.058i | 0.540957 | + | 0.393028i | ||||
\(337\) | 57.2501 | − | 361.463i | 0.169881 | − | 1.07259i | −0.744466 | − | 0.667660i | \(-0.767296\pi\) |
0.914348 | − | 0.404929i | \(-0.132704\pi\) | |||||||
\(338\) | 37.8156 | + | 5.98941i | 0.111881 | + | 0.0177201i | ||||
\(339\) | −262.035 | + | 360.660i | −0.772965 | + | 1.06390i | ||||
\(340\) | −87.8173 | + | 47.4224i | −0.258286 | + | 0.139478i | ||||
\(341\) | −115.180 | + | 83.6835i | −0.337773 | + | 0.245406i | ||||
\(342\) | 134.045 | + | 263.078i | 0.391944 | + | 0.769233i | ||||
\(343\) | −368.319 | − | 368.319i | −1.07382 | − | 1.07382i | ||||
\(344\) | 80.7646 | + | 26.2420i | 0.234781 | + | 0.0762849i | ||||
\(345\) | −144.976 | + | 209.916i | −0.420221 | + | 0.608453i | ||||
\(346\) | −110.726 | − | 340.780i | −0.320017 | − | 0.984912i | ||||
\(347\) | −420.726 | − | 214.371i | −1.21247 | − | 0.617783i | −0.273527 | − | 0.961864i | \(-0.588190\pi\) |
−0.938940 | + | 0.344081i | \(0.888190\pi\) | |||||||
\(348\) | 6.38477 | + | 40.3119i | 0.0183470 | + | 0.115839i | ||||
\(349\) | 436.033i | 1.24938i | 0.780874 | + | 0.624689i | \(0.214774\pi\) | ||||
−0.780874 | + | 0.624689i | \(0.785226\pi\) | |||||||
\(350\) | −393.661 | + | 149.059i | −1.12474 | + | 0.425884i | ||||
\(351\) | 281.144 | 0.800979 | ||||||||
\(352\) | −61.0240 | + | 9.66525i | −0.173364 | + | 0.0274581i | ||||
\(353\) | 233.399 | − | 458.071i | 0.661186 | − | 1.29765i | −0.280077 | − | 0.959977i | \(-0.590360\pi\) |
0.941263 | − | 0.337673i | \(-0.109640\pi\) | |||||||
\(354\) | −96.3652 | + | 31.3110i | −0.272218 | + | 0.0884490i | ||||
\(355\) | −327.878 | + | 7.83895i | −0.923600 | + | 0.0220816i | ||||
\(356\) | −6.77792 | + | 20.8603i | −0.0190391 | + | 0.0585964i | ||||
\(357\) | −396.384 | + | 396.384i | −1.11032 | + | 1.11032i | ||||
\(358\) | 233.901 | − | 119.179i | 0.653355 | − | 0.332901i | ||||
\(359\) | 251.399 | + | 346.021i | 0.700275 | + | 0.963846i | 0.999952 | + | 0.00980492i | \(0.00312105\pi\) |
−0.299677 | + | 0.954041i | \(0.596879\pi\) | |||||||
\(360\) | 129.353 | − | 135.690i | 0.359315 | − | 0.376917i | ||||
\(361\) | −91.3715 | − | 66.3853i | −0.253107 | − | 0.183893i | ||||
\(362\) | −39.1784 | + | 247.363i | −0.108228 | + | 0.683323i | ||||
\(363\) | 7.95885 | + | 1.26056i | 0.0219252 | + | 0.00347261i | ||||
\(364\) | 195.983 | − | 269.748i | 0.538416 | − | 0.741066i | ||||
\(365\) | −396.148 | − | 53.0716i | −1.08534 | − | 0.145402i | ||||
\(366\) | 318.076 | − | 231.095i | 0.869059 | − | 0.631408i | ||||
\(367\) | 78.1469 | + | 153.372i | 0.212934 | + | 0.417907i | 0.972626 | − | 0.232377i | \(-0.0746501\pi\) |
−0.759692 | + | 0.650283i | \(0.774650\pi\) | |||||||
\(368\) | −30.5904 | − | 30.5904i | −0.0831262 | − | 0.0831262i | ||||
\(369\) | 336.828 | + | 109.442i | 0.912813 | + | 0.296591i | ||||
\(370\) | −171.231 | − | 51.1451i | −0.462786 | − | 0.138230i | ||||
\(371\) | 127.048 | + | 391.013i | 0.342447 | + | 1.05394i | ||||
\(372\) | 109.585 | + | 55.8362i | 0.294582 | + | 0.150097i | ||||
\(373\) | 88.8954 | + | 561.263i | 0.238325 | + | 1.50473i | 0.759067 | + | 0.651013i | \(0.225656\pi\) |
−0.520741 | + | 0.853714i | \(0.674344\pi\) | |||||||
\(374\) | − | 154.158i | − | 0.412188i | ||||||
\(375\) | 133.744 | + | 574.336i | 0.356651 | + | 1.53156i | ||||
\(376\) | −147.336 | −0.391852 | ||||||||
\(377\) | 59.8258 | − | 9.47548i | 0.158689 | − | 0.0251339i | ||||
\(378\) | 153.477 | − | 301.215i | 0.406023 | − | 0.796866i | ||||
\(379\) | 121.129 | − | 39.3572i | 0.319602 | − | 0.103845i | −0.144823 | − | 0.989458i | \(-0.546261\pi\) |
0.464425 | + | 0.885613i | \(0.346261\pi\) | |||||||
\(380\) | 45.0757 | − | 150.911i | 0.118620 | − | 0.397133i | ||||
\(381\) | −335.415 | + | 1032.30i | −0.880355 | + | 2.70945i | ||||
\(382\) | −232.826 | + | 232.826i | −0.609492 | + | 0.609492i | ||||
\(383\) | 41.3418 | − | 21.0647i | 0.107942 | − | 0.0549992i | −0.399186 | − | 0.916870i | \(-0.630707\pi\) |
0.507128 | + | 0.861871i | \(0.330707\pi\) | |||||||
\(384\) | 31.3723 | + | 43.1803i | 0.0816988 | + | 0.112449i | ||||
\(385\) | 86.3334 | − | 644.428i | 0.224243 | − | 1.67384i | ||||
\(386\) | 242.927 | + | 176.497i | 0.629346 | + | 0.457246i | ||||
\(387\) | 62.2606 | − | 393.098i | 0.160880 | − | 1.01576i | ||||
\(388\) | 259.841 | + | 41.1548i | 0.669694 | + | 0.106069i | ||||
\(389\) | 80.1323 | − | 110.293i | 0.205996 | − | 0.283529i | −0.693502 | − | 0.720455i | \(-0.743933\pi\) |
0.899497 | + | 0.436926i | \(0.143933\pi\) | |||||||
\(390\) | −338.095 | − | 322.306i | −0.866910 | − | 0.826426i | ||||
\(391\) | 87.3263 | − | 63.4462i | 0.223341 | − | 0.162267i | ||||
\(392\) | −119.098 | − | 233.744i | −0.303822 | − | 0.596285i | ||||
\(393\) | −244.289 | − | 244.289i | −0.621600 | − | 0.621600i | ||||
\(394\) | −313.494 | − | 101.860i | −0.795669 | − | 0.258529i | ||||
\(395\) | 2.12793 | + | 89.0045i | 0.00538716 | + | 0.225328i | ||||
\(396\) | 89.4806 | + | 275.393i | 0.225961 | + | 0.695437i | ||||
\(397\) | 341.113 | + | 173.806i | 0.859227 | + | 0.437798i | 0.827345 | − | 0.561694i | \(-0.189850\pi\) |
0.0318816 | + | 0.999492i | \(0.489850\pi\) | |||||||
\(398\) | 35.1265 | + | 221.780i | 0.0882576 | + | 0.557237i | ||||
\(399\) | − | 884.630i | − | 2.21712i | ||||||
\(400\) | −99.8857 | + | 4.77889i | −0.249714 | + | 0.0119472i | ||||
\(401\) | 424.132 | 1.05768 | 0.528842 | − | 0.848720i | \(-0.322626\pi\) | ||||
0.528842 | + | 0.848720i | \(0.322626\pi\) | |||||||
\(402\) | 640.374 | − | 101.425i | 1.59297 | − | 0.252302i | ||||
\(403\) | 82.8650 | − | 162.632i | 0.205620 | − | 0.403553i | ||||
\(404\) | 162.863 | − | 52.9175i | 0.403127 | − | 0.130984i | ||||
\(405\) | 101.140 | + | 69.8512i | 0.249729 | + | 0.172472i | ||||
\(406\) | 22.5071 | − | 69.2696i | 0.0554361 | − | 0.170615i | ||||
\(407\) | 195.184 | − | 195.184i | 0.479568 | − | 0.479568i | ||||
\(408\) | −118.658 | + | 60.4590i | −0.290827 | + | 0.148184i | ||||
\(409\) | −41.4213 | − | 57.0116i | −0.101275 | − | 0.139393i | 0.755372 | − | 0.655296i | \(-0.227456\pi\) |
−0.856647 | + | 0.515904i | \(0.827456\pi\) | |||||||
\(410\) | −89.7663 | − | 166.230i | −0.218942 | − | 0.405439i | ||||
\(411\) | 275.978 | + | 200.509i | 0.671478 | + | 0.487858i | ||||
\(412\) | −37.4912 | + | 236.710i | −0.0909980 | + | 0.574539i | ||||
\(413\) | 178.590 | + | 28.2859i | 0.432421 | + | 0.0684888i | ||||
\(414\) | −119.175 | + | 164.030i | −0.287862 | + | 0.396209i | ||||
\(415\) | 89.7998 | + | 490.748i | 0.216385 | + | 1.18253i | ||||
\(416\) | 64.0828 | − | 46.5589i | 0.154045 | − | 0.111920i | ||||
\(417\) | −113.123 | − | 222.015i | −0.271277 | − | 0.532411i | ||||
\(418\) | 172.021 | + | 172.021i | 0.411535 | + | 0.411535i | ||||
\(419\) | −426.885 | − | 138.703i | −1.01882 | − | 0.331034i | −0.248458 | − | 0.968643i | \(-0.579924\pi\) |
−0.770360 | + | 0.637609i | \(0.779924\pi\) | |||||||
\(420\) | −529.883 | + | 186.285i | −1.26163 | + | 0.443536i | ||||
\(421\) | 96.5333 | + | 297.099i | 0.229295 | + | 0.705698i | 0.997827 | + | 0.0658866i | \(0.0209876\pi\) |
−0.768532 | + | 0.639811i | \(0.779012\pi\) | |||||||
\(422\) | 187.294 | + | 95.4309i | 0.443824 | + | 0.226140i | ||||
\(423\) | 108.021 | + | 682.018i | 0.255369 | + | 1.61234i | ||||
\(424\) | 97.6716i | 0.230358i | ||||||||
\(425\) | 27.2103 | − | 248.021i | 0.0640241 | − | 0.583579i | ||||
\(426\) | −437.627 | −1.02729 | ||||||||
\(427\) | −692.972 | + | 109.756i | −1.62289 | + | 0.257040i | ||||
\(428\) | −170.767 | + | 335.150i | −0.398989 | + | 0.783060i | ||||
\(429\) | 686.189 | − | 222.956i | 1.59951 | − | 0.519712i | ||||
\(430\) | −168.725 | + | 128.858i | −0.392383 | + | 0.299669i | ||||
\(431\) | −6.66936 | + | 20.5262i | −0.0154742 | + | 0.0476245i | −0.958495 | − | 0.285108i | \(-0.907971\pi\) |
0.943021 | + | 0.332732i | \(0.107971\pi\) | |||||||
\(432\) | 56.7890 | − | 56.7890i | 0.131456 | − | 0.131456i | ||||
\(433\) | −489.321 | + | 249.322i | −1.13007 | + | 0.575800i | −0.916064 | − | 0.401032i | \(-0.868652\pi\) |
−0.214008 | + | 0.976832i | \(0.568652\pi\) | |||||||
\(434\) | −129.006 | − | 177.562i | −0.297250 | − | 0.409129i | ||||
\(435\) | −91.9959 | − | 44.1371i | −0.211485 | − | 0.101465i | ||||
\(436\) | 9.37364 | + | 6.81035i | 0.0214992 | + | 0.0156201i | ||||
\(437\) | −26.6471 | + | 168.243i | −0.0609774 | + | 0.384996i | ||||
\(438\) | −526.755 | − | 83.4297i | −1.20264 | − | 0.190479i | ||||
\(439\) | 117.604 | − | 161.869i | 0.267892 | − | 0.368721i | −0.653785 | − | 0.756680i | \(-0.726820\pi\) |
0.921676 | + | 0.387959i | \(0.126820\pi\) | |||||||
\(440\) | 66.8146 | − | 139.263i | 0.151851 | − | 0.316507i | ||||
\(441\) | −994.678 | + | 722.676i | −2.25551 | + | 1.63872i | ||||
\(442\) | 89.7258 | + | 176.097i | 0.202999 | + | 0.398409i | ||||
\(443\) | 100.812 | + | 100.812i | 0.227566 | + | 0.227566i | 0.811675 | − | 0.584109i | \(-0.198556\pi\) |
−0.584109 | + | 0.811675i | \(0.698556\pi\) | |||||||
\(444\) | −226.784 | − | 73.6867i | −0.510776 | − | 0.165961i | ||||
\(445\) | −33.2820 | − | 43.5791i | −0.0747911 | − | 0.0979305i | ||||
\(446\) | −171.348 | − | 527.354i | −0.384188 | − | 1.18241i | ||||
\(447\) | 1054.13 | + | 537.104i | 2.35822 | + | 1.20158i | ||||
\(448\) | −14.8999 | − | 94.0744i | −0.0332588 | − | 0.209987i | ||||
\(449\) | − | 594.424i | − | 1.32389i | −0.749554 | − | 0.661943i | \(-0.769732\pi\) | ||
0.749554 | − | 0.661943i | \(-0.230268\pi\) | |||||||
\(450\) | 95.3536 | + | 458.866i | 0.211897 | + | 1.01970i | ||||
\(451\) | 291.808 | 0.647023 | ||||||||
\(452\) | 186.667 | − | 29.5652i | 0.412980 | − | 0.0654097i | ||||
\(453\) | 598.485 | − | 1174.59i | 1.32116 | − | 2.59292i | ||||
\(454\) | 131.975 | − | 42.8813i | 0.290694 | − | 0.0944522i | ||||
\(455\) | 276.461 | + | 786.386i | 0.607606 | + | 1.72832i | ||||
\(456\) | 64.9423 | − | 199.872i | 0.142417 | − | 0.438315i | ||||
\(457\) | −120.448 | + | 120.448i | −0.263562 | + | 0.263562i | −0.826500 | − | 0.562937i | \(-0.809671\pi\) |
0.562937 | + | 0.826500i | \(0.309671\pi\) | |||||||
\(458\) | 220.895 | − | 112.551i | 0.482303 | − | 0.245745i | ||||
\(459\) | 117.784 | + | 162.115i | 0.256609 | + | 0.353192i | ||||
\(460\) | 106.387 | − | 19.4673i | 0.231276 | − | 0.0423202i | ||||
\(461\) | 306.035 | + | 222.347i | 0.663850 | + | 0.482315i | 0.867961 | − | 0.496632i | \(-0.165430\pi\) |
−0.204111 | + | 0.978948i | \(0.565430\pi\) | |||||||
\(462\) | 135.718 | − | 856.890i | 0.293762 | − | 1.85474i | ||||
\(463\) | −50.4954 | − | 7.99769i | −0.109061 | − | 0.0172736i | 0.101665 | − | 0.994819i | \(-0.467583\pi\) |
−0.210727 | + | 0.977545i | \(0.567583\pi\) | |||||||
\(464\) | 10.1704 | − | 13.9984i | 0.0219190 | − | 0.0301689i | ||||
\(465\) | −270.547 | + | 146.099i | −0.581821 | + | 0.314190i | ||||
\(466\) | −317.623 | + | 230.766i | −0.681593 | + | 0.495207i | ||||
\(467\) | −311.558 | − | 611.468i | −0.667149 | − | 1.30935i | −0.937968 | − | 0.346723i | \(-0.887295\pi\) |
0.270819 | − | 0.962630i | \(-0.412705\pi\) | |||||||
\(468\) | −262.503 | − | 262.503i | −0.560904 | − | 0.560904i | ||||
\(469\) | −1100.38 | − | 357.536i | −2.34623 | − | 0.762337i | ||||
\(470\) | 209.321 | − | 303.084i | 0.445364 | − | 0.644859i | ||||
\(471\) | −375.162 | − | 1154.63i | −0.796522 | − | 2.45144i | ||||
\(472\) | 38.2738 | + | 19.5015i | 0.0810886 | + | 0.0413167i | ||||
\(473\) | −51.2989 | − | 323.888i | −0.108454 | − | 0.684753i | ||||
\(474\) | 118.797i | 0.250626i | ||||||||
\(475\) | 246.397 | + | 307.124i | 0.518731 | + | 0.646576i | ||||
\(476\) | 237.650 | 0.499265 | ||||||||
\(477\) | 452.120 | − | 71.6088i | 0.947842 | − | 0.150123i | ||||
\(478\) | 95.4149 | − | 187.262i | 0.199613 | − | 0.391762i | ||||
\(479\) | 54.9406 | − | 17.8513i | 0.114698 | − | 0.0372678i | −0.251105 | − | 0.967960i | \(-0.580794\pi\) |
0.365804 | + | 0.930692i | \(0.380794\pi\) | |||||||
\(480\) | −133.396 | + | 3.18926i | −0.277909 | + | 0.00664429i | ||||
\(481\) | −109.357 | + | 336.565i | −0.227353 | + | 0.699720i | ||||
\(482\) | −36.7162 | + | 36.7162i | −0.0761747 | + | 0.0761747i | ||||
\(483\) | 541.260 | − | 275.786i | 1.12062 | − | 0.570985i | ||||
\(484\) | −2.00796 | − | 2.76372i | −0.00414868 | − | 0.00571017i | ||||
\(485\) | −453.816 | + | 476.047i | −0.935703 | + | 0.981540i | ||||
\(486\) | 339.434 | + | 246.614i | 0.698425 | + | 0.507435i | ||||
\(487\) | 45.4546 | − | 286.989i | 0.0933360 | − | 0.589300i | −0.896046 | − | 0.443961i | \(-0.853573\pi\) |
0.989382 | − | 0.145339i | \(-0.0464272\pi\) | |||||||
\(488\) | −164.626 | − | 26.0743i | −0.337349 | − | 0.0534309i | ||||
\(489\) | −159.343 | + | 219.317i | −0.325855 | + | 0.448501i | ||||
\(490\) | 650.034 | + | 87.0844i | 1.32660 | + | 0.177723i | ||||
\(491\) | 210.550 | − | 152.974i | 0.428819 | − | 0.311555i | −0.352357 | − | 0.935865i | \(-0.614620\pi\) |
0.781177 | + | 0.624310i | \(0.214620\pi\) | |||||||
\(492\) | −114.443 | − | 224.608i | −0.232609 | − | 0.456520i | ||||
\(493\) | 30.5275 | + | 30.5275i | 0.0619219 | + | 0.0619219i | ||||
\(494\) | −296.625 | − | 96.3792i | −0.600455 | − | 0.195100i | ||||
\(495\) | −693.632 | − | 207.182i | −1.40128 | − | 0.418549i | ||||
\(496\) | −16.1123 | − | 49.5886i | −0.0324845 | − | 0.0999770i | ||||
\(497\) | 695.839 | + | 354.548i | 1.40008 | + | 0.713376i | ||||
\(498\) | 104.138 | + | 657.504i | 0.209113 | + | 1.32029i | ||||
\(499\) | − | 58.9853i | − | 0.118207i | −0.998252 | − | 0.0591035i | \(-0.981176\pi\) | ||
0.998252 | − | 0.0591035i | \(-0.0188242\pi\) | |||||||
\(500\) | 132.077 | − | 212.263i | 0.264155 | − | 0.424526i | ||||
\(501\) | −1016.54 | −2.02903 | ||||||||
\(502\) | −494.542 | + | 78.3278i | −0.985144 | + | 0.156032i | ||||
\(503\) | −381.004 | + | 747.763i | −0.757464 | + | 1.48661i | 0.112585 | + | 0.993642i | \(0.464087\pi\) |
−0.870049 | + | 0.492965i | \(0.835913\pi\) | |||||||
\(504\) | −424.545 | + | 137.943i | −0.842351 | + | 0.273696i | ||||
\(505\) | −122.524 | + | 410.204i | −0.242622 | + | 0.812284i | ||||
\(506\) | −51.6230 | + | 158.879i | −0.102022 | + | 0.313991i | ||||
\(507\) | −90.3118 | + | 90.3118i | −0.178130 | + | 0.178130i | ||||
\(508\) | 410.004 | − | 208.908i | 0.807095 | − | 0.411235i | ||||
\(509\) | −327.038 | − | 450.129i | −0.642510 | − | 0.884340i | 0.356236 | − | 0.934396i | \(-0.384060\pi\) |
−0.998746 | + | 0.0500563i | \(0.984060\pi\) | |||||||
\(510\) | 44.2075 | − | 329.983i | 0.0866814 | − | 0.647026i | ||||
\(511\) | 769.962 | + | 559.410i | 1.50678 | + | 1.09474i | ||||
\(512\) | 3.53971 | − | 22.3488i | 0.00691349 | − | 0.0436501i | ||||
\(513\) | −312.332 | − | 49.4685i | −0.608835 | − | 0.0964299i | ||||
\(514\) | 147.972 | − | 203.667i | 0.287884 | − | 0.396238i | ||||
\(515\) | −433.669 | − | 413.417i | −0.842076 | − | 0.802752i | ||||
\(516\) | −229.182 | + | 166.510i | −0.444151 | + | 0.322695i | ||||
\(517\) | 258.296 | + | 506.934i | 0.499605 | + | 0.980530i | ||||
\(518\) | 300.895 | + | 300.895i | 0.580879 | + | 0.580879i | ||||
\(519\) | 1136.79 | + | 369.367i | 2.19035 | + | 0.711689i | ||||
\(520\) | 4.73310 | + | 197.970i | 0.00910211 | + | 0.380712i | ||||
\(521\) | −261.077 | − | 803.512i | −0.501107 | − | 1.54225i | −0.807218 | − | 0.590254i | \(-0.799028\pi\) |
0.306110 | − | 0.951996i | \(-0.400972\pi\) | |||||||
\(522\) | −72.2548 | − | 36.8157i | −0.138419 | − | 0.0705281i | ||||
\(523\) | 16.0763 | + | 101.502i | 0.0307386 | + | 0.194076i | 0.998279 | − | 0.0586397i | \(-0.0186763\pi\) |
−0.967541 | + | 0.252716i | \(0.918676\pi\) | |||||||
\(524\) | 146.462i | 0.279508i | ||||||||
\(525\) | 369.601 | − | 1354.67i | 0.704002 | − | 2.58033i | ||||
\(526\) | 146.292 | 0.278122 | ||||||||
\(527\) | 128.494 | − | 20.3514i | 0.243821 | − | 0.0386175i | ||||
\(528\) | 93.5697 | − | 183.641i | 0.177215 | − | 0.347805i | ||||
\(529\) | 391.862 | − | 127.324i | 0.740760 | − | 0.240688i | ||||
\(530\) | −200.919 | − | 138.762i | −0.379092 | − | 0.261816i | ||||
\(531\) | 62.2113 | − | 191.467i | 0.117159 | − | 0.360577i | ||||
\(532\) | −265.188 | + | 265.188i | −0.498473 | + | 0.498473i | ||||
\(533\) | −333.335 | + | 169.843i | −0.625394 | + | 0.318654i | ||||
\(534\) | −43.0072 | − | 59.1943i | −0.0805378 | − | 0.110851i | ||||
\(535\) | −446.823 | − | 827.431i | −0.835183 | − | 1.54660i | ||||
\(536\) | −222.371 | − | 161.562i | −0.414872 | − | 0.301422i | ||||
\(537\) | −136.991 | + | 864.927i | −0.255104 | + | 1.61067i | ||||
\(538\) | 33.7815 | + | 5.35047i | 0.0627909 | + | 0.00994511i | ||||
\(539\) | −595.440 | + | 819.553i | −1.10471 | + | 1.52051i | ||||
\(540\) | 36.1397 | + | 197.500i | 0.0669253 | + | 0.365741i | ||||
\(541\) | 400.700 | − | 291.125i | 0.740665 | − | 0.538124i | −0.152255 | − | 0.988341i | \(-0.548653\pi\) |
0.892919 | + | 0.450217i | \(0.148653\pi\) | |||||||
\(542\) | 112.219 | + | 220.242i | 0.207046 | + | 0.406350i | ||||
\(543\) | −590.756 | − | 590.756i | −1.08795 | − | 1.08795i | ||||
\(544\) | 53.6942 | + | 17.4463i | 0.0987027 | + | 0.0320704i | ||||
\(545\) | −27.3266 | + | 9.60691i | −0.0501406 | + | 0.0176274i | ||||
\(546\) | 343.709 | + | 1057.83i | 0.629504 | + | 1.93741i | ||||
\(547\) | −548.489 | − | 279.469i | −1.00272 | − | 0.510912i | −0.126062 | − | 0.992022i | \(-0.540234\pi\) |
−0.876660 | + | 0.481110i | \(0.840234\pi\) | |||||||
\(548\) | −22.6233 | − | 142.838i | −0.0412834 | − | 0.260653i | ||||
\(549\) | 781.170i | 1.42290i | ||||||||
\(550\) | 191.552 | + | 335.295i | 0.348277 | + | 0.609627i | ||||
\(551\) | −68.1298 | −0.123648 | ||||||||
\(552\) | 142.537 | − | 22.5757i | 0.258220 | − | 0.0408980i | ||||
\(553\) | 96.2441 | − | 188.890i | 0.174040 | − | 0.341573i | ||||
\(554\) | 497.250 | − | 161.566i | 0.897563 | − | 0.291636i | ||||
\(555\) | 473.773 | − | 361.828i | 0.853645 | − | 0.651943i | ||||
\(556\) | −32.6431 | + | 100.465i | −0.0587106 | + | 0.180693i | ||||
\(557\) | −65.6218 | + | 65.6218i | −0.117813 | + | 0.117813i | −0.763555 | − | 0.645742i | \(-0.776548\pi\) |
0.645742 | + | 0.763555i | \(0.276548\pi\) | |||||||
\(558\) | −217.732 | + | 110.940i | −0.390201 | + | 0.198817i | ||||
\(559\) | 247.114 | + | 340.123i | 0.442064 | + | 0.608449i | ||||
\(560\) | 214.688 | + | 103.001i | 0.383371 | + | 0.183931i | ||||
\(561\) | 416.038 | + | 302.269i | 0.741600 | + | 0.538804i | ||||
\(562\) | 63.9510 | − | 403.770i | 0.113792 | − | 0.718453i | ||||
\(563\) | 944.052 | + | 149.523i | 1.67682 | + | 0.265583i | 0.921105 | − | 0.389314i | \(-0.127288\pi\) |
0.755718 | + | 0.654897i | \(0.227288\pi\) | |||||||
\(564\) | 288.893 | − | 397.627i | 0.512221 | − | 0.705012i | ||||
\(565\) | −204.380 | + | 425.994i | −0.361735 | + | 0.753971i | ||||
\(566\) | −334.081 | + | 242.724i | −0.590249 | + | 0.428841i | ||||
\(567\) | −132.877 | − | 260.785i | −0.234351 | − | 0.459939i | ||||
\(568\) | 131.189 | + | 131.189i | 0.230966 | + | 0.230966i | ||||
\(569\) | 675.070 | + | 219.343i | 1.18641 | + | 0.385489i | 0.834746 | − | 0.550635i | \(-0.185615\pi\) |
0.351668 | + | 0.936125i | \(0.385615\pi\) | |||||||
\(570\) | 318.890 | + | 417.550i | 0.559456 | + | 0.732544i | ||||
\(571\) | 29.6017 | + | 91.1046i | 0.0518418 | + | 0.159553i | 0.973626 | − | 0.228152i | \(-0.0732682\pi\) |
−0.921784 | + | 0.387704i | \(0.873268\pi\) | |||||||
\(572\) | −272.537 | − | 138.864i | −0.476463 | − | 0.242770i | ||||
\(573\) | −171.825 | − | 1084.86i | −0.299869 | − | 1.89330i | ||||
\(574\) | 449.850i | 0.783710i | ||||||||
\(575\) | −111.098 | + | 246.505i | −0.193215 | + | 0.428704i | ||||
\(576\) | −106.048 | −0.184110 | ||||||||
\(577\) | −190.430 | + | 30.1612i | −0.330035 | + | 0.0522725i | −0.319253 | − | 0.947669i | \(-0.603432\pi\) |
−0.0107820 | + | 0.999942i | \(0.503432\pi\) | |||||||
\(578\) | 121.597 | − | 238.648i | 0.210376 | − | 0.412886i | ||||
\(579\) | −952.650 | + | 309.535i | −1.64534 | + | 0.534602i | ||||
\(580\) | 14.3467 | + | 40.8089i | 0.0247358 | + | 0.0703602i | ||||
\(581\) | 367.100 | − | 1129.82i | 0.631842 | − | 1.94461i | ||||
\(582\) | −620.556 | + | 620.556i | −1.06625 | + | 1.06625i | ||||
\(583\) | 336.055 | − | 171.228i | 0.576423 | − | 0.293702i | ||||
\(584\) | 132.897 | + | 182.917i | 0.227563 | + | 0.313213i | ||||
\(585\) | 912.931 | − | 167.053i | 1.56057 | − | 0.285561i | ||||
\(586\) | −158.391 | − | 115.078i | −0.270292 | − | 0.196378i | ||||
\(587\) | −66.5873 | + | 420.416i | −0.113437 | + | 0.716211i | 0.863765 | + | 0.503896i | \(0.168100\pi\) |
−0.977201 | + | 0.212315i | \(0.931900\pi\) | |||||||
\(588\) | 864.345 | + | 136.899i | 1.46997 | + | 0.232821i | ||||
\(589\) | −120.673 | + | 166.093i | −0.204878 | + | 0.281991i | ||||
\(590\) | −94.4919 | + | 51.0268i | −0.160156 | + | 0.0864860i | ||||
\(591\) | 889.587 | − | 646.323i | 1.50522 | − | 1.09361i | ||||
\(592\) | 45.8945 | + | 90.0730i | 0.0775245 | + | 0.152150i | ||||
\(593\) | 161.153 | + | 161.153i | 0.271759 | + | 0.271759i | 0.829808 | − | 0.558049i | \(-0.188450\pi\) |
−0.558049 | + | 0.829808i | \(0.688450\pi\) | |||||||
\(594\) | −294.949 | − | 95.8346i | −0.496547 | − | 0.161338i | ||||
\(595\) | −337.630 | + | 488.867i | −0.567445 | + | 0.821625i | ||||
\(596\) | −154.989 | − | 477.007i | −0.260049 | − | 0.800348i | ||||
\(597\) | −667.409 | − | 340.062i | −1.11794 | − | 0.569618i | ||||
\(598\) | −33.5040 | − | 211.536i | −0.0560268 | − | 0.353739i | ||||
\(599\) | 302.025i | 0.504216i | 0.967699 | + | 0.252108i | \(0.0811238\pi\) | ||||
−0.967699 | + | 0.252108i | \(0.918876\pi\) | |||||||
\(600\) | 182.956 | − | 278.939i | 0.304926 | − | 0.464898i | ||||
\(601\) | −147.116 | −0.244786 | −0.122393 | − | 0.992482i | \(-0.539057\pi\) | ||||
−0.122393 | + | 0.992482i | \(0.539057\pi\) | |||||||
\(602\) | 499.305 | − | 79.0822i | 0.829411 | − | 0.131366i | ||||
\(603\) | −584.835 | + | 1147.80i | −0.969876 | + | 1.90349i | ||||
\(604\) | −531.520 | + | 172.701i | −0.880000 | + | 0.285929i | ||||
\(605\) | 8.53794 | − | 0.204126i | 0.0141123 | − | 0.000337399i | ||||
\(606\) | −176.525 | + | 543.289i | −0.291296 | + | 0.896517i | ||||
\(607\) | −166.801 | + | 166.801i | −0.274796 | + | 0.274796i | −0.831028 | − | 0.556231i | \(-0.812247\pi\) |
0.556231 | + | 0.831028i | \(0.312247\pi\) | |||||||
\(608\) | −79.3840 | + | 40.4482i | −0.130566 | + | 0.0665266i | ||||
\(609\) | 142.812 | + | 196.563i | 0.234502 | + | 0.322764i | ||||
\(610\) | 287.522 | − | 301.607i | 0.471348 | − | 0.494438i | ||||
\(611\) | −590.108 | − | 428.739i | −0.965807 | − | 0.701700i | ||||
\(612\) | 41.3923 | − | 261.341i | 0.0676345 | − | 0.427027i | ||||
\(613\) | −688.785 | − | 109.093i | −1.12363 | − | 0.177965i | −0.433153 | − | 0.901320i | \(-0.642599\pi\) |
−0.690476 | + | 0.723355i | \(0.742599\pi\) | |||||||
\(614\) | 186.548 | − | 256.761i | 0.303824 | − | 0.418177i | ||||
\(615\) | 624.628 | + | 83.6808i | 1.01566 | + | 0.136066i | ||||
\(616\) | −297.557 | + | 216.188i | −0.483047 | + | 0.350954i | ||||
\(617\) | 393.489 | + | 772.265i | 0.637745 | + | 1.25165i | 0.953095 | + | 0.302670i | \(0.0978781\pi\) |
−0.315350 | + | 0.948975i | \(0.602122\pi\) | |||||||
\(618\) | −565.314 | − | 565.314i | −0.914748 | − | 0.914748i | ||||
\(619\) | 114.108 | + | 37.0760i | 0.184343 | + | 0.0598966i | 0.399734 | − | 0.916631i | \(-0.369103\pi\) |
−0.215391 | + | 0.976528i | \(0.569103\pi\) | |||||||
\(620\) | 124.899 | + | 37.3062i | 0.201450 | + | 0.0601713i | ||||
\(621\) | −67.1031 | − | 206.522i | −0.108057 | − | 0.332564i | ||||
\(622\) | −168.680 | − | 85.9467i | −0.271189 | − | 0.138178i | ||||
\(623\) | 20.4258 | + | 128.963i | 0.0327861 | + | 0.207004i | ||||
\(624\) | 264.236i | 0.423455i | ||||||||
\(625\) | 249.001 | + | 573.257i | 0.398402 | + | 0.917211i | ||||
\(626\) | 652.337 | 1.04207 | ||||||||
\(627\) | −801.541 | + | 126.952i | −1.27837 | + | 0.202475i | ||||
\(628\) | −233.663 | + | 458.589i | −0.372075 | + | 0.730238i | ||||
\(629\) | −239.887 | + | 77.9440i | −0.381378 | + | 0.123917i | ||||
\(630\) | 319.391 | − | 1069.30i | 0.506970 | − | 1.69730i | ||||
\(631\) | 40.7698 | − | 125.476i | 0.0646113 | − | 0.198853i | −0.913539 | − | 0.406750i | \(-0.866662\pi\) |
0.978151 | + | 0.207897i | \(0.0666619\pi\) | |||||||
\(632\) | 35.6120 | − | 35.6120i | 0.0563480 | − | 0.0563480i | ||||
\(633\) | −624.786 | + | 318.344i | −0.987024 | + | 0.502914i | ||||
\(634\) | −56.0731 | − | 77.1780i | −0.0884434 | − | 0.121732i | ||||
\(635\) | −152.753 | + | 1140.21i | −0.240555 | + | 1.79561i | ||||
\(636\) | −263.593 | − | 191.512i | −0.414455 | − | 0.301119i | ||||
\(637\) | 203.168 | − | 1282.75i | 0.318945 | − | 2.01374i | ||||
\(638\) | −65.9934 | − | 10.4523i | −0.103438 | − | 0.0163830i | ||||
\(639\) | 511.088 | − | 703.453i | 0.799825 | − | 1.10087i | ||||
\(640\) | 40.9446 | + | 39.0325i | 0.0639760 | + | 0.0609883i | ||||
\(641\) | 144.903 | − | 105.278i | 0.226058 | − | 0.164241i | −0.468991 | − | 0.883203i | \(-0.655382\pi\) |
0.695050 | + | 0.718962i | \(0.255382\pi\) | |||||||
\(642\) | −569.656 | − | 1118.01i | −0.887315 | − | 1.74145i | ||||
\(643\) | 40.3319 | + | 40.3319i | 0.0627245 | + | 0.0627245i | 0.737773 | − | 0.675049i | \(-0.235877\pi\) |
−0.675049 | + | 0.737773i | \(0.735877\pi\) | |||||||
\(644\) | −244.928 | − | 79.5820i | −0.380323 | − | 0.123574i | ||||
\(645\) | −16.9272 | − | 708.009i | −0.0262437 | − | 1.09769i | ||||
\(646\) | −68.6943 | − | 211.419i | −0.106338 | − | 0.327275i | ||||
\(647\) | −96.4539 | − | 49.1457i | −0.149079 | − | 0.0759594i | 0.377860 | − | 0.925863i | \(-0.376660\pi\) |
−0.526938 | + | 0.849903i | \(0.676660\pi\) | |||||||
\(648\) | −10.8772 | − | 68.6761i | −0.0167858 | − | 0.105982i | ||||
\(649\) | − | 165.875i | − | 0.255586i | ||||||
\(650\) | −413.966 | − | 271.520i | −0.636871 | − | 0.417723i | ||||
\(651\) | 732.150 | 1.12465 | ||||||||
\(652\) | 113.512 | − | 17.9785i | 0.174098 | − | 0.0275744i | ||||
\(653\) | −350.044 | + | 687.000i | −0.536055 | + | 1.05207i | 0.451126 | + | 0.892460i | \(0.351023\pi\) |
−0.987181 | + | 0.159607i | \(0.948977\pi\) | |||||||
\(654\) | −36.7591 | + | 11.9438i | −0.0562066 | + | 0.0182626i | ||||
\(655\) | −301.285 | − | 208.079i | −0.459978 | − | 0.317678i | ||||
\(656\) | −33.0243 | + | 101.638i | −0.0503419 | + | 0.154936i | ||||
\(657\) | 749.283 | − | 749.283i | 1.14046 | − | 1.14046i | ||||
\(658\) | −781.488 | + | 398.188i | −1.18767 | + | 0.605149i | ||||
\(659\) | −697.843 | − | 960.499i | −1.05894 | − | 1.45751i | −0.880790 | − | 0.473506i | \(-0.842988\pi\) |
−0.178152 | − | 0.984003i | \(-0.557012\pi\) | |||||||
\(660\) | 244.831 | + | 453.380i | 0.370955 | + | 0.686939i | ||||
\(661\) | −1026.11 | − | 745.510i | −1.55235 | − | 1.12785i | −0.941946 | − | 0.335766i | \(-0.891005\pi\) |
−0.610409 | − | 0.792086i | \(-0.708995\pi\) | |||||||
\(662\) | 43.3704 | − | 273.830i | 0.0655142 | − | 0.413641i | ||||
\(663\) | −651.176 | − | 103.136i | −0.982166 | − | 0.155560i | ||||
\(664\) | 165.884 | − | 228.320i | 0.249825 | − | 0.343855i | ||||
\(665\) | −168.762 | − | 922.267i | −0.253777 | − | 1.38687i | ||||
\(666\) | 383.299 | − | 278.483i | 0.575524 | − | 0.418142i | ||||
\(667\) | −21.2397 | − | 41.6852i | −0.0318436 | − | 0.0624965i | ||||
\(668\) | 304.732 | + | 304.732i | 0.456186 | + | 0.456186i | ||||
\(669\) | 1759.18 | + | 571.593i | 2.62957 | + | 0.854399i | ||||
\(670\) | 648.271 | − | 227.905i | 0.967568 | − | 0.340157i | ||||
\(671\) | 198.894 | + | 612.134i | 0.296415 | + | 0.912271i | ||||
\(672\) | 283.100 | + | 144.247i | 0.421280 | + | 0.214653i | ||||
\(673\) | −2.43582 | − | 15.3791i | −0.00361934 | − | 0.0228516i | 0.985813 | − | 0.167850i | \(-0.0536824\pi\) |
−0.989432 | + | 0.144998i | \(0.953682\pi\) | |||||||
\(674\) | − | 517.557i | − | 0.767889i | ||||||
\(675\) | −457.619 | − | 206.247i | −0.677954 | − | 0.305551i | ||||
\(676\) | 54.1460 | 0.0800976 | ||||||||
\(677\) | −75.1252 | + | 11.8987i | −0.110968 | + | 0.0175756i | −0.211671 | − | 0.977341i | \(-0.567891\pi\) |
0.100704 | + | 0.994916i | \(0.467891\pi\) | |||||||
\(678\) | −286.222 | + | 561.742i | −0.422156 | + | 0.828528i | ||||
\(679\) | 1489.45 | − | 483.951i | 2.19359 | − | 0.712742i | ||||
\(680\) | −112.172 | + | 85.6677i | −0.164959 | + | 0.125982i | ||||
\(681\) | −143.046 | + | 440.250i | −0.210053 | + | 0.646476i | ||||
\(682\) | −142.371 | + | 142.371i | −0.208755 | + | 0.208755i | ||||
\(683\) | −96.1264 | + | 48.9789i | −0.140741 | + | 0.0717114i | −0.522943 | − | 0.852368i | \(-0.675166\pi\) |
0.382202 | + | 0.924079i | \(0.375166\pi\) | |||||||
\(684\) | 245.435 | + | 337.812i | 0.358823 | + | 0.493878i | ||||
\(685\) | 325.971 | + | 156.392i | 0.475869 | + | 0.228309i | ||||
\(686\) | −595.953 | − | 432.985i | −0.868737 | − | 0.631174i | ||||
\(687\) | −129.373 | + | 816.831i | −0.188316 | + | 1.18898i | ||||
\(688\) | 118.618 | + | 18.7872i | 0.172410 | + | 0.0273070i | ||||
\(689\) | −284.218 | + | 391.192i | −0.412507 | + | 0.567768i | ||||
\(690\) | −156.063 | + | 325.285i | −0.226178 | + | 0.471428i | ||||
\(691\) | −585.805 | + | 425.612i | −0.847764 | + | 0.615937i | −0.924529 | − | 0.381113i | \(-0.875541\pi\) |
0.0767647 | + | 0.997049i | \(0.475541\pi\) | |||||||
\(692\) | −230.054 | − | 451.506i | −0.332448 | − | 0.652465i | ||||
\(693\) | 1218.89 | + | 1218.89i | 1.75885 | + | 1.75885i | ||||
\(694\) | −635.097 | − | 206.355i | −0.915125 | − | 0.297342i | ||||
\(695\) | −160.289 | − | 209.881i | −0.230632 | − | 0.301987i | ||||
\(696\) | 17.8365 | + | 54.8952i | 0.0256272 | + | 0.0788724i | ||||
\(697\) | −237.585 | − | 121.055i | −0.340867 | − | 0.173681i | ||||
\(698\) | 96.4643 | + | 609.052i | 0.138201 | + | 0.872567i | ||||
\(699\) | − | 1309.67i | − | 1.87363i | ||||||
\(700\) | −516.890 | + | 295.297i | −0.738414 | + | 0.421853i | ||||
\(701\) | −388.344 | −0.553986 | −0.276993 | − | 0.960872i | \(-0.589338\pi\) | ||||
−0.276993 | + | 0.960872i | \(0.589338\pi\) | |||||||
\(702\) | 392.702 | − | 62.1979i | 0.559405 | − | 0.0886010i | ||||
\(703\) | 180.708 | − | 354.660i | 0.257053 | − | 0.504495i | ||||
\(704\) | −83.1002 | + | 27.0009i | −0.118040 | + | 0.0383535i | ||||
\(705\) | 407.522 | + | 1159.19i | 0.578046 | + | 1.64424i | ||||
\(706\) | 224.672 | − | 691.469i | 0.318232 | − | 0.979418i | ||||
\(707\) | 720.830 | − | 720.830i | 1.01956 | − | 1.01956i | ||||
\(708\) | −127.676 | + | 65.0542i | −0.180334 | + | 0.0918845i | ||||
\(709\) | 326.398 | + | 449.248i | 0.460364 | + | 0.633637i | 0.974584 | − | 0.224021i | \(-0.0719186\pi\) |
−0.514220 | + | 0.857658i | \(0.671919\pi\) | |||||||
\(710\) | −456.247 | + | 83.4865i | −0.642601 | + | 0.117587i | ||||
\(711\) | −190.956 | − | 138.738i | −0.268574 | − | 0.195131i | ||||
\(712\) | −4.85246 | + | 30.6372i | −0.00681525 | + | 0.0430298i | ||||
\(713\) | −139.244 | − | 22.0541i | −0.195293 | − | 0.0309314i | ||||
\(714\) | −465.977 | + | 641.363i | −0.652629 | + | 0.898267i | ||||
\(715\) | 672.850 | − | 363.347i | 0.941049 | − | 0.508178i | ||||
\(716\) | 300.348 | − | 218.215i | 0.419480 | − | 0.304770i | ||||
\(717\) | 318.291 | + | 624.681i | 0.443921 | + | 0.871243i | ||||
\(718\) | 427.705 | + | 427.705i | 0.595689 | + | 0.595689i | ||||
\(719\) | −208.554 | − | 67.7632i | −0.290061 | − | 0.0942465i | 0.160372 | − | 0.987057i | \(-0.448730\pi\) |
−0.450433 | + | 0.892810i | \(0.648730\pi\) | |||||||
\(720\) | 150.662 | − | 218.149i | 0.209253 | − | 0.302985i | ||||
\(721\) | 440.870 | + | 1356.86i | 0.611470 | + | 1.88191i | ||||
\(722\) | −142.314 | − | 72.5129i | −0.197111 | − | 0.100433i | ||||
\(723\) | −27.0965 | − | 171.081i | −0.0374779 | − | 0.236626i | ||||
\(724\) | 354.185i | 0.489205i | ||||||||
\(725\) | −104.330 | − | 28.4648i | −0.143903 | − | 0.0392619i | ||||
\(726\) | 11.3958 | 0.0156967 | ||||||||
\(727\) | 92.9105 | − | 14.7156i | 0.127800 | − | 0.0202415i | −0.0922068 | − | 0.995740i | \(-0.529392\pi\) |
0.220007 | + | 0.975498i | \(0.429392\pi\) | |||||||
\(728\) | 214.073 | − | 420.142i | 0.294057 | − | 0.577118i | ||||
\(729\) | −1120.68 | + | 364.132i | −1.53729 | + | 0.499496i | ||||
\(730\) | −565.082 | + | 13.5100i | −0.774084 | + | 0.0185069i | ||||
\(731\) | −92.5974 | + | 284.985i | −0.126672 | + | 0.389857i | ||||
\(732\) | 393.163 | − | 393.163i | 0.537108 | − | 0.537108i | ||||
\(733\) | −57.0412 | + | 29.0639i | −0.0778188 | + | 0.0396507i | −0.492467 | − | 0.870331i | \(-0.663905\pi\) |
0.414648 | + | 0.909982i | \(0.363905\pi\) | |||||||
\(734\) | 143.086 | + | 196.942i | 0.194941 | + | 0.268313i | ||||
\(735\) | −1509.59 | + | 1583.54i | −2.05386 | + | 2.15448i | ||||
\(736\) | −49.4964 | − | 35.9612i | −0.0672505 | − | 0.0488604i | ||||
\(737\) | −166.040 | + | 1048.34i | −0.225292 | + | 1.42244i | ||||
\(738\) | 494.694 | + | 78.3519i | 0.670317 | + | 0.106168i | ||||
\(739\) | 707.012 | − | 973.119i | 0.956715 | − | 1.31681i | 0.00823572 | − | 0.999966i | \(-0.497378\pi\) |
0.948479 | − | 0.316839i | \(-0.102622\pi\) | |||||||
\(740\) | −250.490 | − | 33.5580i | −0.338501 | − | 0.0453486i | ||||
\(741\) | 841.718 | − | 611.544i | 1.13592 | − | 0.825296i | ||||
\(742\) | 263.965 | + | 518.061i | 0.355748 | + | 0.698195i | ||||
\(743\) | −235.132 | − | 235.132i | −0.316463 | − | 0.316463i | 0.530944 | − | 0.847407i | \(-0.321837\pi\) |
−0.847407 | + | 0.530944i | \(0.821837\pi\) | |||||||
\(744\) | 165.421 | + | 53.7485i | 0.222340 | + | 0.0722426i | ||||
\(745\) | 1201.44 | + | 358.859i | 1.61267 | + | 0.481690i | ||||
\(746\) | 248.338 | + | 764.307i | 0.332893 | + | 1.02454i | ||||
\(747\) | −1178.51 | − | 600.479i | −1.57765 | − | 0.803855i | ||||
\(748\) | −34.1047 | − | 215.329i | −0.0455945 | − | 0.287873i | ||||
\(749\) | 2239.18i | 2.98956i | ||||||||
\(750\) | 313.876 | + | 772.645i | 0.418501 | + | 1.03019i | ||||
\(751\) | −1331.68 | −1.77321 | −0.886607 | − | 0.462523i | \(-0.846944\pi\) | ||||
−0.886607 | + | 0.462523i | \(0.846944\pi\) | |||||||
\(752\) | −205.800 | + | 32.5955i | −0.273670 | + | 0.0433451i | ||||
\(753\) | 758.296 | − | 1488.24i | 1.00703 | − | 1.97641i | ||||
\(754\) | 81.4686 | − | 26.4707i | 0.108049 | − | 0.0351071i | ||||
\(755\) | 399.870 | − | 1338.74i | 0.529629 | − | 1.77316i | ||||
\(756\) | 147.738 | − | 454.692i | 0.195421 | − | 0.601445i | ||||
\(757\) | 699.634 | − | 699.634i | 0.924219 | − | 0.924219i | −0.0731053 | − | 0.997324i | \(-0.523291\pi\) |
0.997324 | + | 0.0731053i | \(0.0232909\pi\) | |||||||
\(758\) | 160.486 | − | 81.7719i | 0.211723 | − | 0.107878i | ||||
\(759\) | −327.558 | − | 450.845i | −0.431565 | − | 0.593998i | ||||
\(760\) | 29.5756 | − | 220.765i | 0.0389153 | − | 0.290480i | ||||
\(761\) | 412.515 | + | 299.710i | 0.542069 | + | 0.393836i | 0.824853 | − | 0.565347i | \(-0.191258\pi\) |
−0.282784 | + | 0.959184i | \(0.591258\pi\) | |||||||
\(762\) | −240.131 | + | 1516.13i | −0.315132 | + | 1.98967i | ||||
\(763\) | 68.1243 | + | 10.7898i | 0.0892848 | + | 0.0141413i | ||||
\(764\) | −273.703 | + | 376.720i | −0.358250 | + | 0.493089i | ||||
\(765\) | 478.795 | + | 456.435i | 0.625875 | + | 0.596647i | ||||
\(766\) | 53.0861 | − | 38.5693i | 0.0693030 | − | 0.0503516i | ||||
\(767\) | 96.5454 | + | 189.481i | 0.125874 | + | 0.247042i | ||||
\(768\) | 53.3738 | + | 53.3738i | 0.0694971 | + | 0.0694971i | ||||
\(769\) | −508.350 | − | 165.173i | −0.661053 | − | 0.214789i | −0.0407717 | − | 0.999168i | \(-0.512982\pi\) |
−0.620282 | + | 0.784379i | \(0.712982\pi\) | |||||||
\(770\) | −21.9773 | − | 919.238i | −0.0285419 | − | 1.19382i | ||||
\(771\) | 259.509 | + | 798.687i | 0.336588 | + | 1.03591i | ||||
\(772\) | 378.368 | + | 192.788i | 0.490114 | + | 0.249726i | ||||
\(773\) | 32.8579 | + | 207.456i | 0.0425069 | + | 0.268378i | 0.999784 | − | 0.0207948i | \(-0.00661968\pi\) |
−0.957277 | + | 0.289173i | \(0.906620\pi\) | |||||||
\(774\) | − | 562.854i | − | 0.727201i | ||||||
\(775\) | −254.186 | + | 203.927i | −0.327982 | + | 0.263131i | ||||
\(776\) | 372.051 | 0.479448 | ||||||||
\(777\) | −1402.03 | + | 222.060i | −1.80442 | + | 0.285792i | ||||
\(778\) | 87.5287 | − | 171.785i | 0.112505 | − | 0.220803i | ||||
\(779\) | 400.198 | − | 130.032i | 0.513732 | − | 0.166922i | ||||
\(780\) | −543.556 | − | 375.401i | −0.696867 | − | 0.481283i | ||||
\(781\) | 221.388 | − | 681.363i | 0.283468 | − | 0.872423i | ||||
\(782\) | 107.941 | − | 107.941i | 0.138032 | − | 0.138032i | ||||
\(783\) | 77.3856 | − | 39.4300i | 0.0988322 | − | 0.0503575i | ||||
\(784\) | −218.068 | − | 300.145i | −0.278148 | − | 0.382838i | ||||
\(785\) | −611.393 | − | 1132.18i | −0.778844 | − | 1.44227i | ||||
\(786\) | −395.268 | − | 287.179i | −0.502885 | − | 0.365367i | ||||
\(787\) | −45.4625 | + | 287.039i | −0.0577668 | + | 0.364725i | 0.941824 | + | 0.336108i | \(0.109111\pi\) |
−0.999590 | + | 0.0286178i | \(0.990889\pi\) | |||||||
\(788\) | −460.424 | − | 72.9239i | −0.584294 | − | 0.0925431i | ||||
\(789\) | −286.846 | + | 394.809i | −0.363556 | + | 0.500392i | ||||
\(790\) | 22.6629 | + | 123.851i | 0.0286872 | + | 0.156773i | ||||
\(791\) | 910.200 | − | 661.299i | 1.15070 | − | 0.836029i | ||||
\(792\) | 185.912 | + | 364.873i | 0.234738 | + | 0.460699i | ||||
\(793\) | −583.483 | − | 583.483i | −0.735792 | − | 0.735792i | ||||
\(794\) | 514.919 | + | 167.307i | 0.648512 | + | 0.210714i | ||||
\(795\) | 768.443 | − | 270.153i | 0.966595 | − | 0.339815i | ||||
\(796\) | 98.1297 | + | 302.012i | 0.123278 | + | 0.379412i | ||||
\(797\) | −218.799 | − | 111.484i | −0.274528 | − | 0.139879i | 0.311307 | − | 0.950309i | \(-0.399233\pi\) |
−0.585835 | + | 0.810430i | \(0.699233\pi\) | |||||||
\(798\) | −195.708 | − | 1235.65i | −0.245248 | − | 1.54844i | ||||
\(799\) | − | 519.890i | − | 0.650676i | ||||||
\(800\) | −138.463 | + | 28.7731i | −0.173079 | + | 0.0359663i | ||||
\(801\) | 145.377 | 0.181494 | ||||||||
\(802\) | 592.428 | − | 93.8314i | 0.738688 | − | 0.116997i | ||||
\(803\) | 396.372 | − | 777.923i | 0.493613 | − | 0.968771i | ||||
\(804\) | 872.038 | − | 283.342i | 1.08462 | − | 0.352416i | ||||
\(805\) | 511.677 | − | 390.776i | 0.635623 | − | 0.485436i | ||||
\(806\) | 79.7668 | − | 245.497i | 0.0989662 | − | 0.304587i | ||||
\(807\) | −80.6775 | + | 80.6775i | −0.0999721 | + | 0.0999721i | ||||
\(808\) | 215.781 | − | 109.946i | 0.267055 | − | 0.136071i | ||||
\(809\) | 162.358 | + | 223.466i | 0.200689 | + | 0.276225i | 0.897485 | − | 0.441044i | \(-0.145392\pi\) |
−0.696796 | + | 0.717269i | \(0.745392\pi\) | |||||||
\(810\) | 156.726 | + | 75.1929i | 0.193489 | + | 0.0928307i | ||||
\(811\) | 449.536 | + | 326.607i | 0.554298 | + | 0.402721i | 0.829368 | − | 0.558703i | \(-0.188701\pi\) |
−0.275070 | + | 0.961424i | \(0.588701\pi\) | |||||||
\(812\) | 16.1133 | − | 101.735i | 0.0198439 | − | 0.125290i | ||||
\(813\) | −814.418 | − | 128.991i | −1.00174 | − | 0.158661i | ||||
\(814\) | 229.453 | − | 315.814i | 0.281883 | − | 0.387978i | ||||
\(815\) | −124.283 | + | 259.046i | −0.152495 | + | 0.317848i | ||||
\(816\) | −152.366 | + | 110.700i | −0.186723 | + | 0.135662i | ||||
\(817\) | −214.681 | − | 421.335i | −0.262767 | − | 0.515710i | ||||
\(818\) | −70.4702 | − | 70.4702i | −0.0861494 | − | 0.0861494i | ||||
\(819\) | −2101.78 | − | 682.910i | −2.56628 | − | 0.833834i | ||||
\(820\) | −162.161 | − | 212.332i | −0.197757 | − | 0.258941i | ||||
\(821\) | 190.467 | + | 586.197i | 0.231994 | + | 0.714004i | 0.997506 | + | 0.0705823i | \(0.0224858\pi\) |
−0.765512 | + | 0.643422i | \(0.777514\pi\) | |||||||
\(822\) | 429.845 | + | 219.017i | 0.522926 | + | 0.266444i | ||||
\(823\) | −98.2286 | − | 620.191i | −0.119354 | − | 0.753573i | −0.972672 | − | 0.232182i | \(-0.925413\pi\) |
0.853318 | − | 0.521391i | \(-0.174587\pi\) | |||||||
\(824\) | 338.931i | 0.411324i | ||||||||
\(825\) | −1280.47 | − | 140.480i | −1.55209 | − | 0.170279i | ||||
\(826\) | 255.713 | 0.309580 | ||||||||
\(827\) | 343.416 | − | 54.3917i | 0.415255 | − | 0.0657699i | 0.0546886 | − | 0.998503i | \(-0.482583\pi\) |
0.360566 | + | 0.932734i | \(0.382583\pi\) | |||||||
\(828\) | −130.175 | + | 255.483i | −0.157216 | + | 0.308555i | ||||
\(829\) | −1330.60 | + | 432.337i | −1.60506 | + | 0.521516i | −0.968352 | − | 0.249588i | \(-0.919705\pi\) |
−0.636709 | + | 0.771104i | \(0.719705\pi\) | |||||||
\(830\) | 234.002 | + | 665.612i | 0.281930 | + | 0.801942i | ||||
\(831\) | −538.963 | + | 1658.76i | −0.648571 | + | 1.99610i | ||||
\(832\) | 79.2107 | − | 79.2107i | 0.0952052 | − | 0.0952052i | ||||
\(833\) | 824.786 | − | 420.249i | 0.990139 | − | 0.504501i | ||||
\(834\) | −207.127 | − | 285.085i | −0.248353 | − | 0.341829i | ||||
\(835\) | −1059.79 | + | 193.927i | −1.26921 | + | 0.232248i | ||||
\(836\) | 278.337 | + | 202.223i | 0.332938 | + | 0.241894i | ||||
\(837\) | 40.9419 | − | 258.497i | 0.0489150 | − | 0.308837i | ||||
\(838\) | −626.959 | − | 99.3006i | −0.748161 | − | 0.118497i | ||||
\(839\) | −364.766 | + | 502.058i | −0.434763 | + | 0.598400i | −0.969038 | − | 0.246910i | \(-0.920585\pi\) |
0.534275 | + | 0.845311i | \(0.320585\pi\) | |||||||
\(840\) | −698.930 | + | 377.430i | −0.832059 | + | 0.449322i | ||||
\(841\) | −665.245 | + | 483.329i | −0.791017 | + | 0.574707i | ||||
\(842\) | 200.566 | + | 393.632i | 0.238201 | + | 0.467497i | ||||
\(843\) | 964.290 | + | 964.290i | 1.14388 | + | 1.14388i | ||||
\(844\) | 282.725 | + | 91.8628i | 0.334982 | + | 0.108842i | ||||
\(845\) | −76.9253 | + | 111.383i | −0.0910359 | + | 0.131814i | ||||
\(846\) | 301.768 | + | 928.746i | 0.356700 | + | 1.09781i | ||||
\(847\) | −18.1196 | − | 9.23242i | −0.0213927 | − | 0.0109001i | ||||
\(848\) | 21.6081 | + | 136.428i | 0.0254812 | + | 0.160882i | ||||
\(849\) | − | 1377.53i | − | 1.62254i | ||||||
\(850\) | −16.8628 | − | 352.456i | −0.0198385 | − | 0.414654i | ||||
\(851\) | 273.335 | 0.321192 | ||||||||
\(852\) | −611.279 | + | 96.8171i | −0.717464 | + | 0.113635i | ||||
\(853\) | −423.706 | + | 831.570i | −0.496725 | + | 0.974877i | 0.497490 | + | 0.867470i | \(0.334255\pi\) |
−0.994215 | + | 0.107408i | \(0.965745\pi\) | |||||||
\(854\) | −943.664 | + | 306.615i | −1.10499 | + | 0.359034i | ||||
\(855\) | −1043.60 | + | 24.9505i | −1.22058 | + | 0.0291819i | ||||
\(856\) | −164.382 | + | 505.917i | −0.192036 | + | 0.591025i | ||||
\(857\) | 883.165 | − | 883.165i | 1.03053 | − | 1.03053i | 0.0310117 | − | 0.999519i | \(-0.490127\pi\) |
0.999519 | − | 0.0310117i | \(-0.00987291\pi\) | |||||||
\(858\) | 909.145 | − | 463.233i | 1.05961 | − | 0.539898i | ||||
\(859\) | 684.349 | + | 941.925i | 0.796681 | + | 1.09654i | 0.993244 | + | 0.116046i | \(0.0370219\pi\) |
−0.196563 | + | 0.980491i | \(0.562978\pi\) | |||||||
\(860\) | −207.167 | + | 217.316i | −0.240892 | + | 0.252693i | ||||
\(861\) | −1214.04 | − | 882.052i | −1.41004 | − | 1.02445i | ||||
\(862\) | −4.77473 | + | 30.1465i | −0.00553913 | + | 0.0349727i | ||||
\(863\) | 1452.01 | + | 229.977i | 1.68252 | + | 0.266485i | 0.923224 | − | 0.384261i | \(-0.125544\pi\) |
0.759295 | + | 0.650746i | \(0.225544\pi\) | |||||||
\(864\) | 66.7595 | − | 91.8866i | 0.0772680 | − | 0.106350i | ||||
\(865\) | 1255.62 | + | 168.215i | 1.45159 | + | 0.194468i | ||||
\(866\) | −628.327 | + | 456.506i | −0.725551 | + | 0.527143i | ||||
\(867\) | 405.632 | + | 796.098i | 0.467857 | + | 0.918221i | ||||
\(868\) | −219.479 | − | 219.479i | −0.252856 | − | 0.252856i | ||||
\(869\) | −184.960 | − | 60.0971i | −0.212842 | − | 0.0691566i | ||||
\(870\) | −138.265 | − | 41.2984i | −0.158925 | − | 0.0474695i | ||||
\(871\) | −420.501 | − | 1294.17i | −0.482780 | − | 1.48584i | ||||
\(872\) | 14.5998 | + | 7.43896i | 0.0167429 | + | 0.00853092i | ||||
\(873\) | −272.773 | − | 1722.22i | −0.312455 | − | 1.97276i | ||||
\(874\) | 240.898i | 0.275627i | ||||||||
\(875\) | 126.895 | − | 1482.82i | 0.145023 | − | 1.69465i | ||||
\(876\) | −754.229 | −0.860992 | ||||||||
\(877\) | 1629.98 | − | 258.163i | 1.85859 | − | 0.294371i | 0.876301 | − | 0.481764i | \(-0.160004\pi\) |
0.982285 | + | 0.187393i | \(0.0600039\pi\) | |||||||
\(878\) | 128.460 | − | 252.116i | 0.146309 | − | 0.287148i | ||||
\(879\) | 621.137 | − | 201.820i | 0.706640 | − | 0.229601i | ||||
\(880\) | 62.5174 | − | 209.304i | 0.0710425 | − | 0.237846i | ||||
\(881\) | −16.0890 | + | 49.5167i | −0.0182622 | + | 0.0562051i | −0.959772 | − | 0.280779i | \(-0.909407\pi\) |
0.941510 | + | 0.336985i | \(0.109407\pi\) | |||||||
\(882\) | −1229.49 | + | 1229.49i | −1.39398 | + | 1.39398i | ||||
\(883\) | 905.982 | − | 461.621i | 1.02603 | − | 0.522787i | 0.141825 | − | 0.989892i | \(-0.454703\pi\) |
0.884202 | + | 0.467105i | \(0.154703\pi\) | |||||||
\(884\) | 164.287 | + | 226.122i | 0.185845 | + | 0.255794i | ||||
\(885\) | 47.5675 | − | 355.064i | 0.0537486 | − | 0.401202i | ||||
\(886\) | 163.117 | + | 118.511i | 0.184105 | + | 0.133760i | ||||
\(887\) | 36.9127 | − | 233.058i | 0.0416153 | − | 0.262748i | −0.958105 | − | 0.286419i | \(-0.907535\pi\) |
0.999720 | + | 0.0236702i | \(0.00753517\pi\) | |||||||
\(888\) | −333.075 | − | 52.7539i | −0.375084 | − | 0.0594075i | ||||
\(889\) | 1610.12 | − | 2216.14i | 1.81116 | − | 2.49284i | ||||
\(890\) | −56.1295 | − | 53.5083i | −0.0630669 | − | 0.0601217i | ||||
\(891\) | −217.222 | + | 157.821i | −0.243796 | + | 0.177128i | ||||
\(892\) | −356.007 | − | 698.702i | −0.399111 | − | 0.783299i | ||||
\(893\) | 580.132 | + | 580.132i | 0.649644 | + | 0.649644i | ||||
\(894\) | 1591.23 | + | 517.022i | 1.77990 | + | 0.578325i | ||||
\(895\) | 22.1834 | + | 927.860i | 0.0247859 | + | 1.03672i | ||||
\(896\) | −41.6245 | − | 128.107i | −0.0464559 | − | 0.142977i | ||||
\(897\) | 636.581 | + | 324.354i | 0.709678 | + | 0.361599i | ||||
\(898\) | −131.506 | − | 830.293i | −0.146443 | − | 0.924603i | ||||
\(899\) | − | 56.3866i | − | 0.0627214i | ||||||
\(900\) | 234.706 | + | 619.850i | 0.260784 | + | 0.688722i | ||||
\(901\) | −344.643 | −0.382512 | ||||||||
\(902\) | 407.597 | − | 64.5571i | 0.451882 | − | 0.0715711i | ||||
\(903\) | −765.599 | + | 1502.57i | −0.847839 | + | 1.66398i | ||||
\(904\) | 254.196 | − | 82.5934i | 0.281191 | − | 0.0913643i | ||||
\(905\) | −728.589 | − | 503.191i | −0.805070 | − | 0.556012i | ||||
\(906\) | 576.108 | − | 1773.08i | 0.635880 | − | 1.95704i | ||||
\(907\) | −757.766 | + | 757.766i | −0.835464 | + | 0.835464i | −0.988258 | − | 0.152794i | \(-0.951173\pi\) |
0.152794 | + | 0.988258i | \(0.451173\pi\) | |||||||
\(908\) | 174.856 | − | 89.0937i | 0.192573 | − | 0.0981209i | ||||
\(909\) | −667.139 | − | 918.238i | −0.733926 | − | 1.01016i | ||||
\(910\) | 560.135 | + | 1037.26i | 0.615533 | + | 1.13985i | ||||
\(911\) | −787.930 | − | 572.465i | −0.864907 | − | 0.628392i | 0.0643086 | − | 0.997930i | \(-0.479516\pi\) |
−0.929215 | + | 0.369538i | \(0.879516\pi\) | |||||||
\(912\) | 46.4935 | − | 293.549i | 0.0509798 | − | 0.321874i | ||||
\(913\) | −1076.38 | − | 170.482i | −1.17895 | − | 0.186727i | ||||
\(914\) | −141.595 | + | 194.889i | −0.154918 | + | 0.213226i | ||||
\(915\) | 250.203 | + | 1367.34i | 0.273446 | + | 1.49436i | ||||
\(916\) | 283.646 | − | 206.081i | 0.309657 | − | 0.224979i | ||||
\(917\) | 395.825 | + | 776.851i | 0.431653 | + | 0.847166i | ||||
\(918\) | 200.385 | + | 200.385i | 0.218285 | + | 0.218285i | ||||
\(919\) | −1014.37 | − | 329.588i | −1.10377 | − | 0.358638i | −0.300220 | − | 0.953870i | \(-0.597060\pi\) |
−0.803554 | + | 0.595232i | \(0.797060\pi\) | |||||||
\(920\) | 144.295 | − | 50.7282i | 0.156842 | − | 0.0551393i | ||||
\(921\) | 327.161 | + | 1006.90i | 0.355224 | + | 1.09327i | ||||
\(922\) | 476.661 | + | 242.871i | 0.516985 | + | 0.263417i | ||||
\(923\) | 143.684 | + | 907.184i | 0.155670 | + | 0.982864i | ||||
\(924\) | − | 1226.93i | − | 1.32785i | ||||||
\(925\) | 424.904 | − | 467.605i | 0.459356 | − | 0.505519i | ||||
\(926\) | −72.3014 | −0.0780793 | ||||||||
\(927\) | 1568.91 | − | 248.491i | 1.69246 | − | 0.268059i | ||||
\(928\) | 11.1092 | − | 21.8030i | 0.0119711 | − | 0.0234946i | ||||
\(929\) | −1611.25 | + | 523.525i | −1.73439 | + | 0.563536i | −0.994072 | − | 0.108724i | \(-0.965323\pi\) |
−0.740315 | + | 0.672261i | \(0.765323\pi\) | |||||||
\(930\) | −345.579 | + | 263.924i | −0.371590 | + | 0.283790i | ||||
\(931\) | −451.412 | + | 1389.30i | −0.484868 | + | 1.49227i | ||||
\(932\) | −392.603 | + | 392.603i | −0.421248 | + | 0.421248i | ||||
\(933\) | 562.693 | − | 286.706i | 0.603100 | − | 0.307295i | ||||
\(934\) | −570.462 | − | 785.173i | −0.610773 | − | 0.840656i | ||||
\(935\) | 491.402 | + | 235.762i | 0.525564 | + | 0.252151i | ||||
\(936\) | −424.739 | − | 308.591i | −0.453781 | − | 0.329691i | ||||
\(937\) | 64.1780 | − | 405.204i | 0.0684930 | − | 0.432448i | −0.929483 | − | 0.368864i | \(-0.879747\pi\) |
0.997976 | − | 0.0635842i | \(-0.0202531\pi\) | |||||||
\(938\) | −1616.12 | − | 255.968i | −1.72294 | − | 0.272887i | ||||
\(939\) | −1279.08 | + | 1760.51i | −1.36218 | + | 1.87487i | ||||
\(940\) | 225.328 | − | 469.656i | 0.239711 | − | 0.499635i | ||||
\(941\) | 186.657 | − | 135.614i | 0.198360 | − | 0.144117i | −0.484171 | − | 0.874973i | \(-0.660879\pi\) |
0.682532 | + | 0.730856i | \(0.260879\pi\) | |||||||
\(942\) | −779.468 | − | 1529.79i | −0.827460 | − | 1.62398i | ||||
\(943\) | 204.323 | + | 204.323i | 0.216673 | + | 0.216673i | ||||
\(944\) | 57.7753 | + | 18.7723i | 0.0612026 | + | 0.0198859i | ||||
\(945\) | 725.449 | + | 949.893i | 0.767671 | + | 1.00518i | ||||
\(946\) | −143.309 | − | 441.059i | −0.151489 | − | 0.466236i | ||||
\(947\) | 817.953 | + | 416.768i | 0.863731 | + | 0.440093i | 0.828964 | − | 0.559303i | \(-0.188931\pi\) |
0.0347672 | + | 0.999395i | \(0.488931\pi\) | |||||||
\(948\) | 26.2816 | + | 165.935i | 0.0277232 | + | 0.175037i | ||||
\(949\) | 1119.33i | 1.17949i | ||||||||
\(950\) | 412.114 | + | 374.480i | 0.433804 | + | 0.394190i | ||||
\(951\) | 318.232 | 0.334629 | ||||||||
\(952\) | 331.950 | − | 52.5757i | 0.348687 | − | 0.0552266i | ||||
\(953\) | −734.794 | + | 1442.12i | −0.771033 | + | 1.51324i | 0.0850372 | + | 0.996378i | \(0.472899\pi\) |
−0.856070 | + | 0.516860i | \(0.827101\pi\) | |||||||
\(954\) | 615.681 | − | 200.047i | 0.645368 | − | 0.209693i | ||||
\(955\) | −386.096 | − | 1098.24i | −0.404288 | − | 1.14999i | ||||
\(956\) | 91.8474 | − | 282.677i | 0.0960747 | − | 0.295688i | ||||
\(957\) | 157.606 | − | 157.606i | 0.164688 | − | 0.164688i | ||||
\(958\) | 72.7919 | − | 37.0893i | 0.0759831 | − | 0.0387153i | ||||
\(959\) | −506.027 | − | 696.486i | −0.527661 | − | 0.726263i | ||||
\(960\) | −185.623 | + | 33.9663i | −0.193357 | + | 0.0353815i | ||||
\(961\) | 640.001 | + | 464.988i | 0.665974 | + | 0.483859i | ||||
\(962\) | −78.2907 | + | 494.308i | −0.0813833 | + | 0.513834i | ||||
\(963\) | 2462.40 | + | 390.006i | 2.55701 | + | 0.404991i | ||||
\(964\) | −43.1625 | + | 59.4081i | −0.0447744 | + | 0.0616266i | ||||
\(965\) | −934.131 | + | 504.442i | −0.968011 | + | 0.522738i | ||||
\(966\) | 695.021 | − | 504.962i | 0.719484 | − | 0.522735i | ||||
\(967\) | 525.750 | + | 1031.84i | 0.543692 | + | 1.06706i | 0.985457 | + | 0.169924i | \(0.0543524\pi\) |
−0.441765 | + | 0.897131i | \(0.645648\pi\) | |||||||
\(968\) | −3.41615 | − | 3.41615i | −0.00352908 | − | 0.00352908i | ||||
\(969\) | 705.266 | + | 229.155i | 0.727829 | + | 0.236486i | ||||
\(970\) | −528.574 | + | 765.342i | −0.544922 | + | 0.789012i | ||||
\(971\) | 49.0351 | + | 150.914i | 0.0504996 | + | 0.155422i | 0.973126 | − | 0.230273i | \(-0.0739619\pi\) |
−0.922627 | + | 0.385695i | \(0.873962\pi\) | |||||||
\(972\) | 528.681 | + | 269.377i | 0.543911 | + | 0.277136i | ||||
\(973\) | 98.3724 | + | 621.099i | 0.101102 | + | 0.638334i | ||||
\(974\) | − | 410.923i | − | 0.421892i | ||||||
\(975\) | 1544.46 | − | 584.810i | 1.58406 | − | 0.599805i | ||||
\(976\) | −235.719 | −0.241515 | ||||||||
\(977\) | −1513.70 | + | 239.746i | −1.54933 | + | 0.245390i | −0.871710 | − | 0.490022i | \(-0.836989\pi\) |
−0.677620 | + | 0.735412i | \(0.736989\pi\) | |||||||
\(978\) | −174.051 | + | 341.594i | −0.177966 | + | 0.349278i | ||||
\(979\) | 113.919 | − | 37.0145i | 0.116363 | − | 0.0378085i | ||||
\(980\) | 927.235 | − | 22.1685i | 0.946158 | − | 0.0226209i | ||||
\(981\) | 23.7309 | − | 73.0361i | 0.0241905 | − | 0.0744507i | ||||
\(982\) | 260.254 | − | 260.254i | 0.265025 | − | 0.265025i | ||||
\(983\) | −1640.80 | + | 836.029i | −1.66918 | + | 0.850487i | −0.675606 | + | 0.737263i | \(0.736118\pi\) |
−0.993569 | + | 0.113224i | \(0.963882\pi\) | |||||||
\(984\) | −209.545 | − | 288.414i | −0.212952 | − | 0.293104i | ||||
\(985\) | 804.135 | − | 843.528i | 0.816381 | − | 0.856374i | ||||
\(986\) | 49.3946 | + | 35.8872i | 0.0500959 | + | 0.0363968i | ||||
\(987\) | 457.701 | − | 2889.81i | 0.463730 | − | 2.92787i | ||||
\(988\) | −435.648 | − | 68.9999i | −0.440939 | − | 0.0698380i | ||||
\(989\) | 190.866 | − | 262.705i | 0.192989 | − | 0.265627i | ||||
\(990\) | −1014.70 | − | 135.939i | −1.02495 | − | 0.137312i | ||||
\(991\) | 852.332 | − | 619.255i | 0.860072 | − | 0.624879i | −0.0678324 | − | 0.997697i | \(-0.521608\pi\) |
0.927905 | + | 0.372818i | \(0.121608\pi\) | |||||||
\(992\) | −33.4763 | − | 65.7009i | −0.0337463 | − | 0.0662308i | ||||
\(993\) | 653.965 | + | 653.965i | 0.658575 | + | 0.658575i | ||||
\(994\) | 1050.39 | + | 341.291i | 1.05673 | + | 0.343352i | ||||
\(995\) | −760.678 | − | 227.208i | −0.764501 | − | 0.228350i | ||||
\(996\) | 290.922 | + | 895.364i | 0.292090 | + | 0.898960i | ||||
\(997\) | −1164.89 | − | 593.541i | −1.16839 | − | 0.595327i | −0.241409 | − | 0.970423i | \(-0.577610\pi\) |
−0.926986 | + | 0.375097i | \(0.877610\pi\) | |||||||
\(998\) | −13.0494 | − | 82.3908i | −0.0130756 | − | 0.0825560i | ||||
\(999\) | 507.427i | 0.507935i |
(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.13.1 | ✓ | 24 | |
4.3 | odd | 2 | 400.3.bg.b.113.3 | 24 | |||
5.2 | odd | 4 | 250.3.f.f.207.3 | 24 | |||
5.3 | odd | 4 | 250.3.f.d.207.1 | 24 | |||
5.4 | even | 2 | 250.3.f.e.43.3 | 24 | |||
25.2 | odd | 20 | inner | 50.3.f.b.27.1 | yes | 24 | |
25.11 | even | 5 | 250.3.f.f.93.3 | 24 | |||
25.14 | even | 10 | 250.3.f.d.93.1 | 24 | |||
25.23 | odd | 20 | 250.3.f.e.157.3 | 24 | |||
100.27 | even | 20 | 400.3.bg.b.177.3 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
50.3.f.b.13.1 | ✓ | 24 | 1.1 | even | 1 | trivial | |
50.3.f.b.27.1 | yes | 24 | 25.2 | odd | 20 | inner | |
250.3.f.d.93.1 | 24 | 25.14 | even | 10 | |||
250.3.f.d.207.1 | 24 | 5.3 | odd | 4 | |||
250.3.f.e.43.3 | 24 | 5.4 | even | 2 | |||
250.3.f.e.157.3 | 24 | 25.23 | odd | 20 | |||
250.3.f.f.93.3 | 24 | 25.11 | even | 5 | |||
250.3.f.f.207.3 | 24 | 5.2 | odd | 4 | |||
400.3.bg.b.113.3 | 24 | 4.3 | odd | 2 | |||
400.3.bg.b.177.3 | 24 | 100.27 | even | 20 |