Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,3,Mod(13,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 7, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.13");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.v (of order \(8\), degree \(4\), 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: | \(6.10355792167\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(60\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 13.16 | ||
Character | \(\chi\) | \(=\) | 224.13 |
Dual form | 224.3.v.b.69.16 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{7}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41192 | + | 1.41651i | −0.705959 | + | 0.708253i | ||||
\(3\) | 2.79421 | + | 1.15740i | 0.931403 | + | 0.385800i | 0.796210 | − | 0.605020i | \(-0.206835\pi\) |
0.135192 | + | 0.990819i | \(0.456835\pi\) | |||||||
\(4\) | −0.0129803 | − | 3.99998i | −0.00324507 | − | 0.999995i | ||||
\(5\) | 1.86072 | + | 4.49217i | 0.372143 | + | 0.898434i | 0.993387 | + | 0.114816i | \(0.0366279\pi\) |
−0.621243 | + | 0.783618i | \(0.713372\pi\) | |||||||
\(6\) | −5.58465 | + | 2.32386i | −0.930775 | + | 0.387310i | ||||
\(7\) | 6.93602 | − | 0.944293i | 0.990859 | − | 0.134899i | ||||
\(8\) | 5.68432 | + | 5.62925i | 0.710540 | + | 0.703656i | ||||
\(9\) | 0.104065 | + | 0.104065i | 0.0115628 | + | 0.0115628i | ||||
\(10\) | −8.99036 | − | 3.70685i | −0.899036 | − | 0.370685i | ||||
\(11\) | 2.63807 | + | 6.36886i | 0.239824 | + | 0.578988i | 0.997264 | − | 0.0739174i | \(-0.0235501\pi\) |
−0.757440 | + | 0.652905i | \(0.773550\pi\) | |||||||
\(12\) | 4.59330 | − | 11.1918i | 0.382775 | − | 0.932650i | ||||
\(13\) | 3.81272 | − | 9.20472i | 0.293286 | − | 0.708055i | −0.706714 | − | 0.707500i | \(-0.749823\pi\) |
1.00000 | 0.000555699i | \(-0.000176884\pi\) | ||||||||
\(14\) | −8.45548 | + | 11.1582i | −0.603963 | + | 0.797012i | ||||
\(15\) | 14.7056i | 0.980376i | ||||||||
\(16\) | −15.9997 | + | 0.103842i | −0.999979 | + | 0.00649010i | ||||
\(17\) | 18.4549 | 1.08558 | 0.542791 | − | 0.839868i | \(-0.317367\pi\) | ||||
0.542791 | + | 0.839868i | \(0.317367\pi\) | |||||||
\(18\) | −0.294341 | 0.000477579i | −0.0163523 | 2.65322e-5i | ||||||
\(19\) | −6.94428 | + | 16.7650i | −0.365488 | + | 0.882367i | 0.628989 | + | 0.777414i | \(0.283469\pi\) |
−0.994477 | + | 0.104952i | \(0.966531\pi\) | |||||||
\(20\) | 17.9444 | − | 7.50114i | 0.897221 | − | 0.375057i | ||||
\(21\) | 20.4736 | + | 5.38918i | 0.974933 | + | 0.256628i | ||||
\(22\) | −12.7463 | − | 5.25546i | −0.579376 | − | 0.238885i | ||||
\(23\) | −1.72229 | − | 1.72229i | −0.0748821 | − | 0.0748821i | 0.668674 | − | 0.743556i | \(-0.266862\pi\) |
−0.743556 | + | 0.668674i | \(0.766862\pi\) | |||||||
\(24\) | 9.36789 | + | 22.3083i | 0.390329 | + | 0.929514i | ||||
\(25\) | 0.960355 | − | 0.960355i | 0.0384142 | − | 0.0384142i | ||||
\(26\) | 7.65530 | + | 18.3970i | 0.294435 | + | 0.707579i | ||||
\(27\) | −10.2463 | − | 24.7366i | −0.379491 | − | 0.916172i | ||||
\(28\) | −3.86718 | − | 27.7317i | −0.138114 | − | 0.990416i | ||||
\(29\) | −17.1745 | + | 41.4630i | −0.592225 | + | 1.42976i | 0.289124 | + | 0.957292i | \(0.406636\pi\) |
−0.881349 | + | 0.472466i | \(0.843364\pi\) | |||||||
\(30\) | −20.8306 | − | 20.7632i | −0.694355 | − | 0.692105i | ||||
\(31\) | − | 2.69268i | − | 0.0868606i | −0.999056 | − | 0.0434303i | \(-0.986171\pi\) | ||
0.999056 | − | 0.0434303i | \(-0.0138286\pi\) | |||||||
\(32\) | 22.4431 | − | 22.8102i | 0.701347 | − | 0.712820i | ||||
\(33\) | 20.8492i | 0.631795i | ||||||||
\(34\) | −26.0568 | + | 26.1415i | −0.766376 | + | 0.768867i | ||||
\(35\) | 17.1479 | + | 29.4007i | 0.489940 | + | 0.840020i | ||||
\(36\) | 0.414908 | − | 0.417610i | 0.0115252 | − | 0.0116003i | ||||
\(37\) | −63.1550 | + | 26.1596i | −1.70689 | + | 0.707017i | −1.00000 | 0.000305477i | \(-0.999903\pi\) | |
−0.706891 | + | 0.707323i | \(0.749903\pi\) | |||||||
\(38\) | −13.9429 | − | 33.5073i | −0.366919 | − | 0.881772i | ||||
\(39\) | 21.3071 | − | 21.3071i | 0.546335 | − | 0.546335i | ||||
\(40\) | −14.7106 | + | 36.0094i | −0.367766 | + | 0.900235i | ||||
\(41\) | −4.62617 | + | 4.62617i | −0.112833 | + | 0.112833i | −0.761269 | − | 0.648436i | \(-0.775423\pi\) |
0.648436 | + | 0.761269i | \(0.275423\pi\) | |||||||
\(42\) | −36.5408 | + | 21.3919i | −0.870020 | + | 0.509331i | ||||
\(43\) | 1.15439 | + | 2.78695i | 0.0268463 | + | 0.0648127i | 0.936734 | − | 0.350042i | \(-0.113833\pi\) |
−0.909888 | + | 0.414854i | \(0.863833\pi\) | |||||||
\(44\) | 25.4411 | − | 10.6349i | 0.578206 | − | 0.241702i | ||||
\(45\) | −0.273843 | + | 0.661115i | −0.00608540 | + | 0.0146915i | ||||
\(46\) | 4.87136 | − | 0.00790397i | 0.105899 | − | 0.000171825i | ||||
\(47\) | 9.80819 | 0.208685 | 0.104342 | − | 0.994541i | \(-0.466726\pi\) | ||||
0.104342 | + | 0.994541i | \(0.466726\pi\) | |||||||
\(48\) | −44.8266 | − | 18.2278i | −0.933887 | − | 0.379747i | ||||
\(49\) | 47.2166 | − | 13.0993i | 0.963604 | − | 0.267332i | ||||
\(50\) | 0.00440728 | + | 2.71629i | 8.81457e−5 | + | 0.0543258i | ||||
\(51\) | 51.5668 | + | 21.3597i | 1.01111 | + | 0.418817i | ||||
\(52\) | −36.8682 | − | 15.1313i | −0.709003 | − | 0.290987i | ||||
\(53\) | 10.8678 | + | 26.2371i | 0.205052 | + | 0.495040i | 0.992631 | − | 0.121174i | \(-0.0386658\pi\) |
−0.787579 | + | 0.616213i | \(0.788666\pi\) | |||||||
\(54\) | 49.5065 | + | 20.4122i | 0.916787 | + | 0.378004i | ||||
\(55\) | −23.7013 | + | 23.7013i | −0.430933 | + | 0.430933i | ||||
\(56\) | 44.7422 | + | 33.6769i | 0.798968 | + | 0.601373i | ||||
\(57\) | −38.8075 | + | 38.8075i | −0.680833 | + | 0.680833i | ||||
\(58\) | −34.4835 | − | 82.8701i | −0.594544 | − | 1.42879i | ||||
\(59\) | −30.6283 | − | 73.9432i | −0.519124 | − | 1.25328i | −0.938442 | − | 0.345436i | \(-0.887731\pi\) |
0.419319 | − | 0.907839i | \(-0.362269\pi\) | |||||||
\(60\) | 58.8223 | − | 0.190883i | 0.980371 | − | 0.00318139i | ||||
\(61\) | −25.7376 | − | 10.6609i | −0.421928 | − | 0.174768i | 0.161609 | − | 0.986855i | \(-0.448332\pi\) |
−0.583537 | + | 0.812087i | \(0.698332\pi\) | |||||||
\(62\) | 3.81420 | + | 3.80184i | 0.0615193 | + | 0.0613200i | ||||
\(63\) | 0.820067 | + | 0.623531i | 0.0130169 | + | 0.00989731i | ||||
\(64\) | 0.623044 | + | 63.9970i | 0.00973506 | + | 0.999953i | ||||
\(65\) | 48.4435 | 0.745285 | ||||||||
\(66\) | −29.5331 | − | 29.4374i | −0.447471 | − | 0.446021i | ||||
\(67\) | 29.2049 | − | 70.5070i | 0.435895 | − | 1.05234i | −0.541458 | − | 0.840728i | \(-0.682128\pi\) |
0.977353 | − | 0.211615i | \(-0.0678724\pi\) | |||||||
\(68\) | −0.239550 | − | 73.8192i | −0.00352279 | − | 1.08558i | ||||
\(69\) | −2.81906 | − | 6.80581i | −0.0408559 | − | 0.0986349i | ||||
\(70\) | −65.8577 | − | 17.2212i | −0.940824 | − | 0.246018i | ||||
\(71\) | 33.8344 | − | 33.8344i | 0.476541 | − | 0.476541i | −0.427483 | − | 0.904024i | \(-0.640599\pi\) |
0.904024 | + | 0.427483i | \(0.140599\pi\) | |||||||
\(72\) | 0.00573093 | + | 1.17735i | 7.95962e−5 | + | 0.0163521i | ||||
\(73\) | 70.7687 | − | 70.7687i | 0.969434 | − | 0.969434i | −0.0301127 | − | 0.999547i | \(-0.509587\pi\) |
0.999547 | + | 0.0301127i | \(0.00958661\pi\) | |||||||
\(74\) | 52.1143 | − | 126.395i | 0.704247 | − | 1.70804i | ||||
\(75\) | 3.79495 | − | 1.57192i | 0.0505993 | − | 0.0209589i | ||||
\(76\) | 67.1496 | + | 27.5593i | 0.883548 | + | 0.362623i | ||||
\(77\) | 24.3118 | + | 41.6834i | 0.315737 | + | 0.541343i | ||||
\(78\) | 0.0977829 | + | 60.2654i | 0.00125363 | + | 0.772633i | ||||
\(79\) | − | 89.2961i | − | 1.13033i | −0.824978 | − | 0.565165i | \(-0.808812\pi\) | ||
0.824978 | − | 0.565165i | \(-0.191188\pi\) | |||||||
\(80\) | −30.2373 | − | 71.6800i | −0.377967 | − | 0.896000i | ||||
\(81\) | − | 82.3029i | − | 1.01608i | ||||||
\(82\) | −0.0212305 | − | 13.0848i | −0.000258909 | − | 0.159570i | ||||
\(83\) | 54.0727 | − | 130.543i | 0.651479 | − | 1.57281i | −0.159154 | − | 0.987254i | \(-0.550877\pi\) |
0.810633 | − | 0.585555i | \(-0.199123\pi\) | |||||||
\(84\) | 21.2909 | − | 81.9639i | 0.253463 | − | 0.975761i | ||||
\(85\) | 34.3394 | + | 82.9026i | 0.403993 | + | 0.975324i | ||||
\(86\) | −5.57763 | − | 2.29973i | −0.0648562 | − | 0.0267411i | ||||
\(87\) | −95.9784 | + | 95.9784i | −1.10320 | + | 1.10320i | ||||
\(88\) | −20.8563 | + | 51.0530i | −0.237003 | + | 0.580148i | ||||
\(89\) | −72.3174 | − | 72.3174i | −0.812555 | − | 0.812555i | 0.172461 | − | 0.985016i | \(-0.444828\pi\) |
−0.985016 | + | 0.172461i | \(0.944828\pi\) | |||||||
\(90\) | −0.549830 | − | 1.32134i | −0.00610923 | − | 0.0146816i | ||||
\(91\) | 17.7531 | − | 67.4444i | 0.195089 | − | 0.741147i | ||||
\(92\) | −6.86676 | + | 6.91148i | −0.0746387 | + | 0.0751247i | ||||
\(93\) | 3.11650 | − | 7.52391i | 0.0335108 | − | 0.0809022i | ||||
\(94\) | −13.8483 | + | 13.8934i | −0.147323 | + | 0.147802i | ||||
\(95\) | −88.2324 | −0.928762 | ||||||||
\(96\) | 89.1113 | − | 37.7609i | 0.928242 | − | 0.393343i | ||||
\(97\) | 108.153i | 1.11498i | 0.830185 | + | 0.557489i | \(0.188235\pi\) | ||||
−0.830185 | + | 0.557489i | \(0.811765\pi\) | |||||||
\(98\) | −48.1108 | + | 85.3777i | −0.490926 | + | 0.871201i | ||||
\(99\) | −0.388246 | + | 0.937309i | −0.00392168 | + | 0.00946777i | ||||
\(100\) | −3.85387 | − | 3.82893i | −0.0385387 | − | 0.0382893i | ||||
\(101\) | 67.0471 | + | 161.866i | 0.663832 | + | 1.60263i | 0.791748 | + | 0.610848i | \(0.209171\pi\) |
−0.127915 | + | 0.991785i | \(0.540829\pi\) | |||||||
\(102\) | −103.064 | + | 42.8867i | −1.01043 | + | 0.420457i | ||||
\(103\) | 33.5902 | + | 33.5902i | 0.326119 | + | 0.326119i | 0.851109 | − | 0.524990i | \(-0.175931\pi\) |
−0.524990 | + | 0.851109i | \(0.675931\pi\) | |||||||
\(104\) | 73.4884 | − | 30.8598i | 0.706619 | − | 0.296729i | ||||
\(105\) | 13.8864 | + | 101.999i | 0.132252 | + | 0.971415i | ||||
\(106\) | −52.5094 | − | 21.6504i | −0.495372 | − | 0.204249i | ||||
\(107\) | −28.1712 | − | 68.0112i | −0.263282 | − | 0.635619i | 0.735856 | − | 0.677138i | \(-0.236780\pi\) |
−0.999138 | + | 0.0415197i | \(0.986780\pi\) | |||||||
\(108\) | −98.8131 | + | 41.3059i | −0.914936 | + | 0.382462i | ||||
\(109\) | −127.290 | − | 52.7253i | −1.16780 | − | 0.483718i | −0.287334 | − | 0.957830i | \(-0.592769\pi\) |
−0.880464 | + | 0.474113i | \(0.842769\pi\) | |||||||
\(110\) | −0.108771 | − | 67.0373i | −0.000988823 | − | 0.609430i | ||||
\(111\) | −206.745 | −1.86257 | ||||||||
\(112\) | −110.876 | + | 15.8286i | −0.989963 | + | 0.141327i | ||||
\(113\) | 16.9678i | 0.150157i | 0.997178 | + | 0.0750786i | \(0.0239208\pi\) | ||||
−0.997178 | + | 0.0750786i | \(0.976079\pi\) | |||||||
\(114\) | −0.178096 | − | 109.764i | −0.00156225 | − | 0.962842i | ||||
\(115\) | 4.53212 | − | 10.9415i | 0.0394097 | − | 0.0951435i | ||||
\(116\) | 166.074 | + | 68.1595i | 1.43167 | + | 0.587582i | ||||
\(117\) | 1.35466 | − | 0.561120i | 0.0115783 | − | 0.00479590i | ||||
\(118\) | 147.986 | + | 61.0165i | 1.25412 | + | 0.517089i | ||||
\(119\) | 128.004 | − | 17.4268i | 1.07566 | − | 0.146444i | ||||
\(120\) | −82.7818 | + | 83.5916i | −0.689848 | + | 0.696597i | ||||
\(121\) | 51.9569 | − | 51.9569i | 0.429396 | − | 0.429396i | ||||
\(122\) | 51.4405 | − | 21.4052i | 0.421644 | − | 0.175453i | ||||
\(123\) | −18.2808 | + | 7.57216i | −0.148624 | + | 0.0615623i | ||||
\(124\) | −10.7707 | + | 0.0349517i | −0.0868602 | + | 0.000281868i | ||||
\(125\) | 118.405 | + | 49.0451i | 0.947242 | + | 0.392361i | ||||
\(126\) | −2.04110 | + | 0.281257i | −0.0161992 | + | 0.00223220i | ||||
\(127\) | −178.949 | −1.40904 | −0.704522 | − | 0.709682i | \(-0.748839\pi\) | ||||
−0.704522 | + | 0.709682i | \(0.748839\pi\) | |||||||
\(128\) | −91.5318 | − | 89.4759i | −0.715092 | − | 0.699030i | ||||
\(129\) | 9.12340i | 0.0707240i | ||||||||
\(130\) | −68.3983 | + | 68.6206i | −0.526141 | + | 0.527851i | ||||
\(131\) | 56.9742 | + | 23.5995i | 0.434918 | + | 0.180149i | 0.589391 | − | 0.807848i | \(-0.299368\pi\) |
−0.154473 | + | 0.987997i | \(0.549368\pi\) | |||||||
\(132\) | 83.3965 | − | 0.270628i | 0.631791 | − | 0.00205022i | ||||
\(133\) | −32.3346 | + | 122.839i | −0.243117 | + | 0.923605i | ||||
\(134\) | 58.6386 | + | 140.919i | 0.437602 | + | 1.05163i | ||||
\(135\) | 92.0558 | − | 92.0558i | 0.681895 | − | 0.681895i | ||||
\(136\) | 104.904 | + | 103.887i | 0.771350 | + | 0.763877i | ||||
\(137\) | −77.2919 | − | 77.2919i | −0.564175 | − | 0.564175i | 0.366316 | − | 0.930491i | \(-0.380619\pi\) |
−0.930491 | + | 0.366316i | \(0.880619\pi\) | |||||||
\(138\) | 13.6207 | + | 5.61602i | 0.0987011 | + | 0.0406958i | ||||
\(139\) | −103.517 | + | 42.8781i | −0.744725 | + | 0.308475i | −0.722587 | − | 0.691280i | \(-0.757047\pi\) |
−0.0221379 | + | 0.999755i | \(0.507047\pi\) | |||||||
\(140\) | 117.380 | − | 68.9728i | 0.838425 | − | 0.492663i | ||||
\(141\) | 27.4061 | + | 11.3520i | 0.194370 | + | 0.0805105i | ||||
\(142\) | 0.155274 | + | 95.6981i | 0.00109348 | + | 0.673930i | ||||
\(143\) | 68.6818 | 0.480292 | ||||||||
\(144\) | −1.67582 | − | 1.65420i | −0.0116376 | − | 0.0114875i | ||||
\(145\) | −218.216 | −1.50493 | ||||||||
\(146\) | 0.324773 | + | 200.164i | 0.00222447 | + | 1.37098i | ||||
\(147\) | 147.094 | + | 18.0464i | 1.00064 | + | 0.122765i | ||||
\(148\) | 105.458 | + | 252.279i | 0.712553 | + | 1.70459i | ||||
\(149\) | 29.7091 | + | 71.7241i | 0.199390 | + | 0.481370i | 0.991673 | − | 0.128784i | \(-0.0411075\pi\) |
−0.792283 | + | 0.610154i | \(0.791107\pi\) | |||||||
\(150\) | −3.13152 | + | 7.59498i | −0.0208768 | + | 0.0506332i | ||||
\(151\) | −90.0549 | − | 90.0549i | −0.596390 | − | 0.596390i | 0.342960 | − | 0.939350i | \(-0.388571\pi\) |
−0.939350 | + | 0.342960i | \(0.888571\pi\) | |||||||
\(152\) | −133.848 | + | 56.2064i | −0.880577 | + | 0.369779i | ||||
\(153\) | 1.92052 | + | 1.92052i | 0.0125524 | + | 0.0125524i | ||||
\(154\) | −93.3710 | − | 24.4158i | −0.606305 | − | 0.158544i | ||||
\(155\) | 12.0960 | − | 5.01031i | 0.0780385 | − | 0.0323246i | ||||
\(156\) | −85.5044 | − | 84.9512i | −0.548105 | − | 0.544559i | ||||
\(157\) | 177.979 | + | 73.7215i | 1.13363 | + | 0.469563i | 0.869012 | − | 0.494791i | \(-0.164755\pi\) |
0.264614 | + | 0.964354i | \(0.414755\pi\) | |||||||
\(158\) | 126.489 | + | 126.079i | 0.800560 | + | 0.797967i | ||||
\(159\) | 85.8903i | 0.540190i | ||||||||
\(160\) | 144.228 | + | 58.3748i | 0.901423 | + | 0.364843i | ||||
\(161\) | −13.5722 | − | 10.3195i | −0.0842992 | − | 0.0640961i | ||||
\(162\) | 116.583 | + | 116.205i | 0.719645 | + | 0.717314i | ||||
\(163\) | −21.6782 | + | 52.3359i | −0.132995 | + | 0.321079i | −0.976322 | − | 0.216322i | \(-0.930594\pi\) |
0.843327 | + | 0.537401i | \(0.180594\pi\) | |||||||
\(164\) | 18.5646 | + | 18.4445i | 0.113199 | + | 0.112467i | ||||
\(165\) | −93.6583 | + | 38.7945i | −0.567626 | + | 0.235118i | ||||
\(166\) | 108.569 | + | 260.910i | 0.654030 | + | 1.57175i | ||||
\(167\) | −168.495 | − | 168.495i | −1.00895 | − | 1.00895i | −0.999960 | − | 0.00899546i | \(-0.997137\pi\) |
−0.00899546 | − | 0.999960i | \(-0.502863\pi\) | |||||||
\(168\) | 86.0414 | + | 145.885i | 0.512151 | + | 0.868362i | ||||
\(169\) | 49.3110 | + | 49.3110i | 0.291781 | + | 0.291781i | ||||
\(170\) | −165.916 | − | 68.4096i | −0.975978 | − | 0.402410i | ||||
\(171\) | −2.46731 | + | 1.02199i | −0.0144287 | + | 0.00597657i | ||||
\(172\) | 11.1327 | − | 4.65371i | 0.0647252 | − | 0.0270565i | ||||
\(173\) | 50.4636 | − | 121.830i | 0.291697 | − | 0.704220i | −0.708301 | − | 0.705910i | \(-0.750538\pi\) |
0.999999 | + | 0.00169064i | \(0.000538147\pi\) | |||||||
\(174\) | −0.440466 | − | 271.467i | −0.00253141 | − | 1.56016i | ||||
\(175\) | 5.75418 | − | 7.56790i | 0.0328810 | − | 0.0432451i | ||||
\(176\) | −42.8696 | − | 101.626i | −0.243577 | − | 0.577419i | ||||
\(177\) | − | 242.062i | − | 1.36758i | ||||||
\(178\) | 204.544 | − | 0.331881i | 1.14912 | − | 0.00186450i | ||||
\(179\) | −22.2421 | − | 9.21300i | −0.124258 | − | 0.0514693i | 0.319688 | − | 0.947523i | \(-0.396422\pi\) |
−0.443946 | + | 0.896054i | \(0.646422\pi\) | |||||||
\(180\) | 2.64800 | + | 1.08678i | 0.0147111 | + | 0.00603769i | ||||
\(181\) | −50.6351 | + | 20.9738i | −0.279752 | + | 0.115877i | −0.518148 | − | 0.855291i | \(-0.673378\pi\) |
0.238396 | + | 0.971168i | \(0.423378\pi\) | |||||||
\(182\) | 70.4695 | + | 120.373i | 0.387195 | + | 0.661392i | ||||
\(183\) | −59.5773 | − | 59.5773i | −0.325559 | − | 0.325559i | ||||
\(184\) | −0.0948473 | − | 19.4852i | −0.000515474 | − | 0.105898i | ||||
\(185\) | −235.027 | − | 235.027i | −1.27042 | − | 1.27042i | ||||
\(186\) | 6.25741 | + | 15.0377i | 0.0336420 | + | 0.0808477i | ||||
\(187\) | 48.6853 | + | 117.537i | 0.260349 | + | 0.628539i | ||||
\(188\) | −0.127313 | − | 39.2325i | −0.000677196 | − | 0.208684i | ||||
\(189\) | −94.4268 | − | 161.898i | −0.499613 | − | 0.856605i | ||||
\(190\) | 124.577 | − | 124.982i | 0.655667 | − | 0.657799i | ||||
\(191\) | −240.133 | −1.25724 | −0.628621 | − | 0.777711i | \(-0.716380\pi\) | ||||
−0.628621 | + | 0.777711i | \(0.716380\pi\) | |||||||
\(192\) | −72.3291 | + | 179.542i | −0.376714 | + | 0.935114i | ||||
\(193\) | −237.252 | −1.22928 | −0.614642 | − | 0.788806i | \(-0.710700\pi\) | ||||
−0.614642 | + | 0.788806i | \(0.710700\pi\) | |||||||
\(194\) | −153.199 | − | 152.703i | −0.789686 | − | 0.787128i | ||||
\(195\) | 135.361 | + | 56.0685i | 0.694161 | + | 0.287531i | ||||
\(196\) | −53.0097 | − | 188.695i | −0.270458 | − | 0.962732i | ||||
\(197\) | −142.584 | + | 59.0603i | −0.723777 | + | 0.299798i | −0.713992 | − | 0.700154i | \(-0.753115\pi\) |
−0.00978503 | + | 0.999952i | \(0.503115\pi\) | |||||||
\(198\) | −0.779533 | − | 1.87336i | −0.00393704 | − | 0.00946140i | ||||
\(199\) | −7.17452 | − | 7.17452i | −0.0360529 | − | 0.0360529i | 0.688851 | − | 0.724903i | \(-0.258116\pi\) |
−0.724903 | + | 0.688851i | \(0.758116\pi\) | |||||||
\(200\) | 10.8650 | − | 0.0528872i | 0.0543252 | − | 0.000264436i | ||||
\(201\) | 163.209 | − | 163.209i | 0.811987 | − | 0.811987i | ||||
\(202\) | −323.949 | − | 133.569i | −1.60371 | − | 0.661231i | ||||
\(203\) | −79.9695 | + | 303.806i | −0.393939 | + | 1.49658i | ||||
\(204\) | 84.7690 | − | 206.544i | 0.415534 | − | 1.01247i | ||||
\(205\) | −29.3895 | − | 12.1735i | −0.143364 | − | 0.0593832i | ||||
\(206\) | −95.0074 | + | 0.154153i | −0.461201 | + | 0.000748316i | ||||
\(207\) | − | 0.358461i | − | 0.00173170i | ||||||
\(208\) | −60.0464 | + | 147.668i | −0.288685 | + | 0.709944i | ||||
\(209\) | −125.093 | −0.598532 | ||||||||
\(210\) | −164.088 | − | 124.343i | −0.781372 | − | 0.592111i | ||||
\(211\) | 246.417 | + | 102.069i | 1.16785 | + | 0.483740i | 0.880482 | − | 0.474079i | \(-0.157219\pi\) |
0.287370 | + | 0.957820i | \(0.407219\pi\) | |||||||
\(212\) | 104.807 | − | 43.8114i | 0.494372 | − | 0.206657i | ||||
\(213\) | 133.700 | − | 55.3805i | 0.627701 | − | 0.260002i | ||||
\(214\) | 136.114 | + | 56.1215i | 0.636045 | + | 0.262250i | ||||
\(215\) | −10.3714 | + | 10.3714i | −0.0482392 | + | 0.0482392i | ||||
\(216\) | 81.0058 | − | 198.290i | 0.375027 | − | 0.918008i | ||||
\(217\) | −2.54268 | − | 18.6765i | −0.0117174 | − | 0.0860667i | ||||
\(218\) | 254.409 | − | 105.863i | 1.16701 | − | 0.485612i | ||||
\(219\) | 279.650 | − | 115.835i | 1.27694 | − | 0.528926i | ||||
\(220\) | 95.1124 | + | 94.4971i | 0.432329 | + | 0.429532i | ||||
\(221\) | 70.3634 | − | 169.872i | 0.318386 | − | 0.768653i | ||||
\(222\) | 291.907 | − | 292.856i | 1.31490 | − | 1.31917i | ||||
\(223\) | 90.6780i | 0.406628i | 0.979114 | + | 0.203314i | \(0.0651712\pi\) | ||||
−0.979114 | + | 0.203314i | \(0.934829\pi\) | |||||||
\(224\) | 134.126 | − | 179.405i | 0.598778 | − | 0.800915i | ||||
\(225\) | 0.199879 | 0.000888353 | ||||||||
\(226\) | −24.0349 | − | 23.9571i | −0.106349 | − | 0.106005i | ||||
\(227\) | 273.601 | + | 113.329i | 1.20529 | + | 0.499248i | 0.892705 | − | 0.450641i | \(-0.148805\pi\) |
0.312586 | + | 0.949889i | \(0.398805\pi\) | |||||||
\(228\) | 155.733 | + | 154.725i | 0.683039 | + | 0.678620i | ||||
\(229\) | −101.693 | − | 245.509i | −0.444075 | − | 1.07209i | −0.974506 | − | 0.224363i | \(-0.927970\pi\) |
0.530431 | − | 0.847728i | \(-0.322030\pi\) | |||||||
\(230\) | 9.09973 | + | 21.8683i | 0.0395641 | + | 0.0950795i | ||||
\(231\) | 19.6878 | + | 144.611i | 0.0852285 | + | 0.626020i | ||||
\(232\) | −331.031 | + | 139.009i | −1.42686 | + | 0.599177i | ||||
\(233\) | 298.793 | + | 298.793i | 1.28237 | + | 1.28237i | 0.939313 | + | 0.343062i | \(0.111464\pi\) |
0.343062 | + | 0.939313i | \(0.388536\pi\) | |||||||
\(234\) | −1.11784 | + | 2.71115i | −0.00477711 | + | 0.0115861i | ||||
\(235\) | 18.2503 | + | 44.0600i | 0.0776607 | + | 0.187490i | ||||
\(236\) | −295.374 | + | 123.472i | −1.25158 | + | 0.523188i | ||||
\(237\) | 103.351 | − | 249.512i | 0.436081 | − | 1.05279i | ||||
\(238\) | −156.045 | + | 205.923i | −0.655652 | + | 0.865223i | ||||
\(239\) | − | 277.379i | − | 1.16058i | −0.814410 | − | 0.580290i | \(-0.802939\pi\) | ||
0.814410 | − | 0.580290i | \(-0.197061\pi\) | |||||||
\(240\) | −1.52706 | − | 235.285i | −0.00636274 | − | 0.980356i | ||||
\(241\) | −298.909 | −1.24028 | −0.620142 | − | 0.784489i | \(-0.712925\pi\) | ||||
−0.620142 | + | 0.784489i | \(0.712925\pi\) | |||||||
\(242\) | 0.238442 | + | 146.956i | 0.000985297 | + | 0.607257i | ||||
\(243\) | 3.04096 | − | 7.34154i | 0.0125143 | − | 0.0302121i | ||||
\(244\) | −42.3091 | + | 103.088i | −0.173398 | + | 0.422493i | ||||
\(245\) | 146.701 | + | 187.731i | 0.598779 | + | 0.766249i | ||||
\(246\) | 15.0850 | − | 36.5861i | 0.0613210 | − | 0.148724i | ||||
\(247\) | 127.840 | + | 127.840i | 0.517572 | + | 0.517572i | ||||
\(248\) | 15.1578 | − | 15.3061i | 0.0611200 | − | 0.0617180i | ||||
\(249\) | 302.181 | − | 302.181i | 1.21358 | − | 1.21358i | ||||
\(250\) | −236.651 | + | 98.4742i | −0.946604 | + | 0.393897i | ||||
\(251\) | 141.027 | + | 340.469i | 0.561861 | + | 1.35645i | 0.908277 | + | 0.418370i | \(0.137399\pi\) |
−0.346416 | + | 0.938081i | \(0.612601\pi\) | |||||||
\(252\) | 2.48346 | − | 3.28834i | 0.00985502 | − | 0.0130490i | ||||
\(253\) | 6.42550 | − | 15.5125i | 0.0253973 | − | 0.0613144i | ||||
\(254\) | 252.661 | − | 253.482i | 0.994727 | − | 0.997960i | ||||
\(255\) | 271.391i | 1.06428i | ||||||||
\(256\) | 255.978 | − | 3.32286i | 0.999916 | − | 0.0129799i | ||||
\(257\) | 56.8547i | 0.221225i | 0.993864 | + | 0.110612i | \(0.0352812\pi\) | ||||
−0.993864 | + | 0.110612i | \(0.964719\pi\) | |||||||
\(258\) | −12.9233 | − | 12.8815i | −0.0500905 | − | 0.0499282i | ||||
\(259\) | −413.341 | + | 241.080i | −1.59591 | + | 0.930813i | ||||
\(260\) | −0.628810 | − | 193.773i | −0.00241850 | − | 0.745281i | ||||
\(261\) | −6.10213 | + | 2.52758i | −0.0233798 | + | 0.00968423i | ||||
\(262\) | −113.872 | + | 47.3838i | −0.434625 | + | 0.180854i | ||||
\(263\) | −183.481 | + | 183.481i | −0.697648 | + | 0.697648i | −0.963903 | − | 0.266255i | \(-0.914214\pi\) |
0.266255 | + | 0.963903i | \(0.414214\pi\) | |||||||
\(264\) | −117.366 | + | 118.514i | −0.444566 | + | 0.448916i | ||||
\(265\) | −97.6397 | + | 97.6397i | −0.368452 | + | 0.368452i | ||||
\(266\) | −128.349 | − | 219.241i | −0.482516 | − | 0.824215i | ||||
\(267\) | −118.370 | − | 285.770i | −0.443333 | − | 1.07030i | ||||
\(268\) | −282.405 | − | 115.904i | −1.05375 | − | 0.432477i | ||||
\(269\) | −106.389 | + | 256.846i | −0.395498 | + | 0.954817i | 0.593222 | + | 0.805039i | \(0.297856\pi\) |
−0.988720 | + | 0.149777i | \(0.952144\pi\) | |||||||
\(270\) | 0.422465 | + | 260.373i | 0.00156468 | + | 0.964344i | ||||
\(271\) | 481.642 | 1.77728 | 0.888638 | − | 0.458610i | \(-0.151653\pi\) | ||||
0.888638 | + | 0.458610i | \(0.151653\pi\) | |||||||
\(272\) | −295.272 | + | 1.91639i | −1.08556 | + | 0.00704554i | ||||
\(273\) | 127.666 | − | 167.906i | 0.467641 | − | 0.615041i | ||||
\(274\) | 218.614 | − | 0.354710i | 0.797862 | − | 0.00129456i | ||||
\(275\) | 8.64985 | + | 3.58289i | 0.0314540 | + | 0.0130287i | ||||
\(276\) | −27.1865 | + | 11.3645i | −0.0985018 | + | 0.0411758i | ||||
\(277\) | −105.701 | − | 255.184i | −0.381591 | − | 0.921242i | −0.991659 | − | 0.128893i | \(-0.958858\pi\) |
0.610068 | − | 0.792349i | \(-0.291142\pi\) | |||||||
\(278\) | 85.4201 | − | 207.172i | 0.307267 | − | 0.745225i | ||||
\(279\) | 0.280215 | − | 0.280215i | 0.00100435 | − | 0.00100435i | ||||
\(280\) | −68.0298 | + | 263.653i | −0.242963 | + | 0.941617i | ||||
\(281\) | 106.402 | − | 106.402i | 0.378653 | − | 0.378653i | −0.491963 | − | 0.870616i | \(-0.663720\pi\) |
0.870616 | + | 0.491963i | \(0.163720\pi\) | |||||||
\(282\) | −54.7753 | + | 22.7929i | −0.194239 | + | 0.0808258i | ||||
\(283\) | −129.222 | − | 311.970i | −0.456616 | − | 1.10237i | −0.969759 | − | 0.244066i | \(-0.921519\pi\) |
0.513142 | − | 0.858303i | \(-0.328481\pi\) | |||||||
\(284\) | −135.776 | − | 134.898i | −0.478085 | − | 0.474992i | ||||
\(285\) | −246.540 | − | 102.120i | −0.865051 | − | 0.358316i | ||||
\(286\) | −96.9730 | + | 97.2882i | −0.339067 | + | 0.340169i | ||||
\(287\) | −27.7187 | + | 36.4557i | −0.0965810 | + | 0.127023i | ||||
\(288\) | 4.70930 | − | 0.0382059i | 0.0163518 | − | 0.000132659i | ||||
\(289\) | 51.5836 | 0.178490 | ||||||||
\(290\) | 308.102 | − | 309.104i | 1.06242 | − | 1.06587i | ||||
\(291\) | −125.176 | + | 302.201i | −0.430158 | + | 1.03849i | ||||
\(292\) | −283.992 | − | 282.155i | −0.972575 | − | 0.966283i | ||||
\(293\) | 188.644 | + | 455.427i | 0.643837 | + | 1.55436i | 0.821463 | + | 0.570262i | \(0.193158\pi\) |
−0.177626 | + | 0.984098i | \(0.556842\pi\) | |||||||
\(294\) | −233.248 | + | 182.880i | −0.793359 | + | 0.622040i | ||||
\(295\) | 275.175 | − | 275.175i | 0.932796 | − | 0.932796i | ||||
\(296\) | −506.252 | − | 206.815i | −1.71031 | − | 0.698700i | ||||
\(297\) | 130.514 | − | 130.514i | 0.439441 | − | 0.439441i | ||||
\(298\) | −143.544 | − | 59.1854i | −0.481693 | − | 0.198609i | ||||
\(299\) | −22.4198 | + | 9.28658i | −0.0749826 | + | 0.0310588i | ||||
\(300\) | −6.33690 | − | 15.1593i | −0.0211230 | − | 0.0505310i | ||||
\(301\) | 10.6386 | + | 18.2402i | 0.0353441 | + | 0.0605987i | ||||
\(302\) | 254.713 | − | 0.413282i | 0.843422 | − | 0.00136848i | ||||
\(303\) | 529.887i | 1.74880i | ||||||||
\(304\) | 109.365 | − | 268.955i | 0.359754 | − | 0.884720i | ||||
\(305\) | − | 135.454i | − | 0.444113i | ||||||
\(306\) | −5.43203 | + | 0.00881368i | −0.0177517 | + | 2.88029e-5i | ||||
\(307\) | 206.101 | − | 497.572i | 0.671338 | − | 1.62075i | −0.108000 | − | 0.994151i | \(-0.534445\pi\) |
0.779338 | − | 0.626603i | \(-0.215555\pi\) | |||||||
\(308\) | 166.417 | − | 97.7876i | 0.540316 | − | 0.317492i | ||||
\(309\) | 54.9808 | + | 132.735i | 0.177931 | + | 0.429564i | ||||
\(310\) | −9.98136 | + | 24.2082i | −0.0321979 | + | 0.0780909i | ||||
\(311\) | 72.8833 | − | 72.8833i | 0.234351 | − | 0.234351i | −0.580155 | − | 0.814506i | \(-0.697008\pi\) |
0.814506 | + | 0.580155i | \(0.197008\pi\) | |||||||
\(312\) | 241.059 | − | 1.17339i | 0.772625 | − | 0.00376087i | ||||
\(313\) | 410.097 | + | 410.097i | 1.31021 | + | 1.31021i | 0.921255 | + | 0.388960i | \(0.127166\pi\) |
0.388960 | + | 0.921255i | \(0.372834\pi\) | |||||||
\(314\) | −355.719 | + | 148.020i | −1.13286 | + | 0.471402i | ||||
\(315\) | −1.27509 | + | 4.84409i | −0.00404791 | + | 0.0153781i | ||||
\(316\) | −357.183 | + | 1.15909i | −1.13032 | + | 0.00366800i | ||||
\(317\) | 35.1735 | − | 84.9163i | 0.110957 | − | 0.267875i | −0.858641 | − | 0.512578i | \(-0.828691\pi\) |
0.969598 | + | 0.244703i | \(0.0786905\pi\) | |||||||
\(318\) | −121.664 | − | 121.270i | −0.382591 | − | 0.381352i | ||||
\(319\) | −309.380 | −0.969842 | ||||||||
\(320\) | −286.326 | + | 121.879i | −0.894768 | + | 0.380872i | ||||
\(321\) | − | 222.643i | − | 0.693591i | ||||||
\(322\) | 33.7804 | − | 4.65482i | 0.104908 | − | 0.0144560i | ||||
\(323\) | −128.156 | + | 309.396i | −0.396768 | + | 0.957882i | ||||
\(324\) | −329.210 | + | 1.06831i | −1.01608 | + | 0.00329726i | ||||
\(325\) | −5.17823 | − | 12.5014i | −0.0159330 | − | 0.0384657i | ||||
\(326\) | −43.5263 | − | 104.601i | −0.133516 | − | 0.320863i | ||||
\(327\) | −294.651 | − | 294.651i | −0.901072 | − | 0.901072i | ||||
\(328\) | −52.3385 | + | 0.254765i | −0.159569 | + | 0.000776724i | ||||
\(329\) | 68.0297 | − | 9.26181i | 0.206777 | − | 0.0281514i | ||||
\(330\) | 77.2850 | − | 187.442i | 0.234197 | − | 0.568007i | ||||
\(331\) | −125.459 | − | 302.885i | −0.379030 | − | 0.915060i | −0.992148 | − | 0.125068i | \(-0.960085\pi\) |
0.613118 | − | 0.789991i | \(-0.289915\pi\) | |||||||
\(332\) | −522.871 | − | 214.595i | −1.57491 | − | 0.646371i | ||||
\(333\) | −9.29455 | − | 3.84993i | −0.0279116 | − | 0.0115614i | ||||
\(334\) | 476.577 | − | 0.773263i | 1.42688 | − | 0.00231516i | ||||
\(335\) | 371.071 | 1.10768 | ||||||||
\(336\) | −328.130 | − | 84.0991i | −0.976578 | − | 0.250295i | ||||
\(337\) | 151.596i | 0.449839i | 0.974377 | + | 0.224919i | \(0.0722119\pi\) | ||||
−0.974377 | + | 0.224919i | \(0.927788\pi\) | |||||||
\(338\) | −139.472 | + | 0.226299i | −0.412640 | + | 0.000669524i | ||||
\(339\) | −19.6385 | + | 47.4114i | −0.0579306 | + | 0.139857i | ||||
\(340\) | 331.163 | − | 138.433i | 0.974008 | − | 0.407155i | ||||
\(341\) | 17.1493 | − | 7.10347i | 0.0502912 | − | 0.0208313i | ||||
\(342\) | 2.03598 | − | 4.93793i | 0.00595315 | − | 0.0144384i | ||||
\(343\) | 315.126 | − | 135.443i | 0.918734 | − | 0.394878i | ||||
\(344\) | −9.12649 | + | 22.3403i | −0.0265305 | + | 0.0649426i | ||||
\(345\) | 25.3274 | − | 25.3274i | 0.0734127 | − | 0.0734127i | ||||
\(346\) | 101.322 | + | 243.496i | 0.292840 | + | 0.703745i | ||||
\(347\) | −242.136 | + | 100.296i | −0.697798 | + | 0.289037i | −0.703245 | − | 0.710948i | \(-0.748266\pi\) |
0.00544685 | + | 0.999985i | \(0.498266\pi\) | |||||||
\(348\) | 385.157 | + | 382.666i | 1.10677 | + | 1.09961i | ||||
\(349\) | −265.623 | − | 110.025i | −0.761098 | − | 0.315257i | −0.0318374 | − | 0.999493i | \(-0.510136\pi\) |
−0.729261 | + | 0.684236i | \(0.760136\pi\) | |||||||
\(350\) | 2.59554 | + | 18.8361i | 0.00741584 | + | 0.0538174i | ||||
\(351\) | −266.760 | −0.760000 | ||||||||
\(352\) | 204.482 | + | 82.7621i | 0.580914 | + | 0.235120i | ||||
\(353\) | − | 218.450i | − | 0.618838i | −0.950926 | − | 0.309419i | \(-0.899865\pi\) | ||
0.950926 | − | 0.309419i | \(-0.100135\pi\) | |||||||
\(354\) | 342.882 | + | 341.771i | 0.968594 | + | 0.965456i | ||||
\(355\) | 214.946 | + | 89.0336i | 0.605482 | + | 0.250799i | ||||
\(356\) | −288.329 | + | 290.207i | −0.809914 | + | 0.815188i | ||||
\(357\) | 377.838 | + | 99.4569i | 1.05837 | + | 0.278591i | ||||
\(358\) | 44.4543 | − | 18.4982i | 0.124174 | − | 0.0516708i | ||||
\(359\) | −172.506 | + | 172.506i | −0.480517 | + | 0.480517i | −0.905297 | − | 0.424780i | \(-0.860352\pi\) |
0.424780 | + | 0.905297i | \(0.360352\pi\) | |||||||
\(360\) | −5.27820 | + | 2.21646i | −0.0146617 | + | 0.00615684i | ||||
\(361\) | 22.4245 | + | 22.4245i | 0.0621177 | + | 0.0621177i | ||||
\(362\) | 41.7831 | − | 101.338i | 0.115423 | − | 0.279940i | ||||
\(363\) | 205.313 | − | 85.0436i | 0.565601 | − | 0.234280i | ||||
\(364\) | −270.007 | − | 70.1367i | −0.741776 | − | 0.192683i | ||||
\(365\) | 449.585 | + | 186.224i | 1.23174 | + | 0.510204i | ||||
\(366\) | 168.510 | − | 0.273414i | 0.460410 | − | 0.000747032i | ||||
\(367\) | −440.096 | −1.19917 | −0.599586 | − | 0.800310i | \(-0.704668\pi\) | ||||
−0.599586 | + | 0.800310i | \(0.704668\pi\) | |||||||
\(368\) | 27.7349 | + | 27.3772i | 0.0753665 | + | 0.0743946i | ||||
\(369\) | −0.962848 | −0.00260934 | ||||||||
\(370\) | 664.756 | − | 1.07859i | 1.79664 | − | 0.00291511i | ||||
\(371\) | 100.154 | + | 171.719i | 0.269958 | + | 0.462853i | ||||
\(372\) | −30.1359 | − | 12.3683i | −0.0810105 | − | 0.0332481i | ||||
\(373\) | 156.000 | + | 376.618i | 0.418232 | + | 1.00970i | 0.982860 | + | 0.184355i | \(0.0590197\pi\) |
−0.564628 | + | 0.825346i | \(0.690980\pi\) | |||||||
\(374\) | −235.231 | − | 96.9891i | −0.628960 | − | 0.259329i | ||||
\(375\) | 274.084 | + | 274.084i | 0.730891 | + | 0.730891i | ||||
\(376\) | 55.7529 | + | 55.2128i | 0.148279 | + | 0.146842i | ||||
\(377\) | 316.173 | + | 316.173i | 0.838656 | + | 0.838656i | ||||
\(378\) | 362.653 | + | 94.8308i | 0.959399 | + | 0.250875i | ||||
\(379\) | 15.6501 | − | 6.48247i | 0.0412931 | − | 0.0171042i | −0.361941 | − | 0.932201i | \(-0.617886\pi\) |
0.403234 | + | 0.915097i | \(0.367886\pi\) | |||||||
\(380\) | 1.14528 | + | 352.928i | 0.00301389 | + | 0.928757i | ||||
\(381\) | −500.020 | − | 207.115i | −1.31239 | − | 0.543609i | ||||
\(382\) | 339.048 | − | 340.150i | 0.887561 | − | 0.890446i | ||||
\(383\) | 494.019i | 1.28987i | 0.764239 | + | 0.644933i | \(0.223115\pi\) | ||||
−0.764239 | + | 0.644933i | \(0.776885\pi\) | |||||||
\(384\) | −152.200 | − | 355.953i | −0.396353 | − | 0.926961i | ||||
\(385\) | −142.012 | + | 186.774i | −0.368861 | + | 0.485126i | ||||
\(386\) | 334.980 | − | 336.069i | 0.867824 | − | 0.870644i | ||||
\(387\) | −0.169892 | + | 0.410156i | −0.000438998 | + | 0.00105984i | ||||
\(388\) | 432.609 | − | 1.40385i | 1.11497 | − | 0.00361818i | ||||
\(389\) | −676.486 | + | 280.209i | −1.73904 | + | 0.720333i | −0.740187 | + | 0.672401i | \(0.765263\pi\) |
−0.998851 | + | 0.0479314i | \(0.984737\pi\) | |||||||
\(390\) | −270.540 | + | 112.576i | −0.693693 | + | 0.288657i | ||||
\(391\) | −31.7847 | − | 31.7847i | −0.0812907 | − | 0.0812907i | ||||
\(392\) | 342.134 | + | 191.334i | 0.872790 | + | 0.488096i | ||||
\(393\) | 131.884 | + | 131.884i | 0.335582 | + | 0.335582i | ||||
\(394\) | 117.658 | − | 285.359i | 0.298624 | − | 0.724263i | ||||
\(395\) | 401.133 | − | 166.155i | 1.01553 | − | 0.420645i | ||||
\(396\) | 3.75426 | + | 1.54081i | 0.00948045 | + | 0.00389094i | ||||
\(397\) | −55.2516 | + | 133.389i | −0.139173 | + | 0.335993i | −0.978064 | − | 0.208307i | \(-0.933205\pi\) |
0.838891 | + | 0.544300i | \(0.183205\pi\) | |||||||
\(398\) | 20.2926 | − | 0.0329255i | 0.0509864 | − | 8.27274e-5i | ||||
\(399\) | −232.524 | + | 305.815i | −0.582766 | + | 0.766454i | ||||
\(400\) | −15.2656 | + | 15.4651i | −0.0381641 | + | 0.0386627i | ||||
\(401\) | 249.583i | 0.622400i | 0.950344 | + | 0.311200i | \(0.100731\pi\) | ||||
−0.950344 | + | 0.311200i | \(0.899269\pi\) | |||||||
\(402\) | 0.749004 | + | 461.625i | 0.00186319 | + | 1.14832i | ||||
\(403\) | −24.7854 | − | 10.2664i | −0.0615021 | − | 0.0254750i | ||||
\(404\) | 646.590 | − | 270.288i | 1.60047 | − | 0.669030i | ||||
\(405\) | 369.718 | − | 153.142i | 0.912885 | − | 0.378129i | ||||
\(406\) | −317.432 | − | 542.226i | −0.781852 | − | 1.33553i | ||||
\(407\) | −333.214 | − | 333.214i | −0.818708 | − | 0.818708i | ||||
\(408\) | 172.884 | + | 411.698i | 0.423734 | + | 1.00906i | ||||
\(409\) | −416.788 | − | 416.788i | −1.01904 | − | 1.01904i | −0.999815 | − | 0.0192276i | \(-0.993879\pi\) |
−0.0192276 | − | 0.999815i | \(-0.506121\pi\) | |||||||
\(410\) | 58.7395 | − | 24.4424i | 0.143267 | − | 0.0596157i | ||||
\(411\) | −126.512 | − | 305.427i | −0.307815 | − | 0.743132i | ||||
\(412\) | 133.924 | − | 134.796i | 0.325059 | − | 0.327175i | ||||
\(413\) | −282.262 | − | 483.949i | −0.683444 | − | 1.17179i | ||||
\(414\) | 0.507762 | + | 0.506117i | 0.00122648 | + | 0.00122251i | ||||
\(415\) | 687.036 | 1.65551 | ||||||||
\(416\) | −124.393 | − | 293.552i | −0.299021 | − | 0.705653i | ||||
\(417\) | −338.875 | −0.812649 | ||||||||
\(418\) | 176.621 | − | 177.195i | 0.422539 | − | 0.423912i | ||||
\(419\) | 122.245 | + | 50.6356i | 0.291755 | + | 0.120849i | 0.523760 | − | 0.851866i | \(-0.324529\pi\) |
−0.232006 | + | 0.972714i | \(0.574529\pi\) | |||||||
\(420\) | 407.812 | − | 56.8695i | 0.970981 | − | 0.135403i | ||||
\(421\) | 187.554 | − | 77.6873i | 0.445496 | − | 0.184530i | −0.148647 | − | 0.988890i | \(-0.547492\pi\) |
0.594142 | + | 0.804360i | \(0.297492\pi\) | |||||||
\(422\) | −492.502 | + | 204.938i | −1.16707 | + | 0.485635i | ||||
\(423\) | 1.02069 | + | 1.02069i | 0.00241298 | + | 0.00241298i | ||||
\(424\) | −85.9194 | + | 210.318i | −0.202640 | + | 0.496032i | ||||
\(425\) | 17.7233 | − | 17.7233i | 0.0417018 | − | 0.0417018i | ||||
\(426\) | −110.327 | + | 267.580i | −0.258983 | + | 0.628122i | ||||
\(427\) | −188.583 | − | 49.6401i | −0.441647 | − | 0.116253i | ||||
\(428\) | −271.678 | + | 113.567i | −0.634761 | + | 0.265343i | ||||
\(429\) | 191.911 | + | 79.4923i | 0.447346 | + | 0.185297i | ||||
\(430\) | −0.0475968 | − | 29.3348i | −0.000110690 | − | 0.0682205i | ||||
\(431\) | 372.076i | 0.863285i | 0.902045 | + | 0.431642i | \(0.142066\pi\) | ||||
−0.902045 | + | 0.431642i | \(0.857934\pi\) | |||||||
\(432\) | 166.505 | + | 394.714i | 0.385429 | + | 0.913690i | ||||
\(433\) | 3.47840 | 0.00803326 | 0.00401663 | − | 0.999992i | \(-0.498721\pi\) | ||||
0.00401663 | + | 0.999992i | \(0.498721\pi\) | |||||||
\(434\) | 30.0454 | + | 22.7679i | 0.0692290 | + | 0.0524606i | ||||
\(435\) | −609.740 | − | 252.562i | −1.40170 | − | 0.580603i | ||||
\(436\) | −209.248 | + | 509.842i | −0.479926 | + | 1.16936i | ||||
\(437\) | 40.8342 | − | 16.9141i | 0.0934420 | − | 0.0387049i | ||||
\(438\) | −230.762 | + | 559.675i | −0.526853 | + | 1.27780i | ||||
\(439\) | 61.4292 | − | 61.4292i | 0.139930 | − | 0.139930i | −0.633672 | − | 0.773602i | \(-0.718453\pi\) |
0.773602 | + | 0.633672i | \(0.218453\pi\) | |||||||
\(440\) | −268.147 | + | 1.30524i | −0.609424 | + | 0.00296646i | ||||
\(441\) | 6.27679 | + | 3.55043i | 0.0142331 | + | 0.00805087i | ||||
\(442\) | 141.278 | + | 339.516i | 0.319633 | + | 0.768135i | ||||
\(443\) | −296.808 | + | 122.942i | −0.669995 | + | 0.277521i | −0.691637 | − | 0.722245i | \(-0.743110\pi\) |
0.0216428 | + | 0.999766i | \(0.493110\pi\) | |||||||
\(444\) | 2.68361 | + | 826.977i | 0.00604416 | + | 1.86256i | ||||
\(445\) | 190.300 | − | 459.424i | 0.427640 | − | 1.03241i | ||||
\(446\) | −128.446 | − | 128.030i | −0.287995 | − | 0.287062i | ||||
\(447\) | 234.797i | 0.525274i | ||||||||
\(448\) | 64.7534 | + | 443.296i | 0.144539 | + | 0.989499i | ||||
\(449\) | −648.742 | −1.44486 | −0.722430 | − | 0.691444i | \(-0.756975\pi\) | ||||
−0.722430 | + | 0.691444i | \(0.756975\pi\) | |||||||
\(450\) | −0.282213 | + | 0.283130i | −0.000627140 | + | 0.000629179i | ||||
\(451\) | −41.6676 | − | 17.2593i | −0.0923894 | − | 0.0382689i | ||||
\(452\) | 67.8707 | − | 0.220246i | 0.150156 | − | 0.000487270i | ||||
\(453\) | −147.403 | − | 355.862i | −0.325392 | − | 0.785567i | ||||
\(454\) | −546.834 | + | 227.546i | −1.20448 | + | 0.501203i | ||||
\(455\) | 336.005 | − | 45.7449i | 0.738473 | − | 0.100538i | ||||
\(456\) | −439.052 | + | 2.13715i | −0.962832 | + | 0.00468673i | ||||
\(457\) | 83.0513 | + | 83.0513i | 0.181731 | + | 0.181731i | 0.792110 | − | 0.610378i | \(-0.208983\pi\) |
−0.610378 | + | 0.792110i | \(0.708983\pi\) | |||||||
\(458\) | 491.347 | + | 202.589i | 1.07281 | + | 0.442335i | ||||
\(459\) | −189.094 | − | 456.513i | −0.411969 | − | 0.994581i | ||||
\(460\) | −43.8246 | − | 17.9864i | −0.0952709 | − | 0.0391008i | ||||
\(461\) | 114.561 | − | 276.576i | 0.248506 | − | 0.599947i | −0.749571 | − | 0.661923i | \(-0.769740\pi\) |
0.998078 | + | 0.0619765i | \(0.0197404\pi\) | |||||||
\(462\) | −232.639 | − | 176.290i | −0.503548 | − | 0.381581i | ||||
\(463\) | − | 312.147i | − | 0.674184i | −0.941472 | − | 0.337092i | \(-0.890557\pi\) | ||
0.941472 | − | 0.337092i | \(-0.109443\pi\) | |||||||
\(464\) | 270.481 | − | 665.177i | 0.582933 | − | 1.43357i | ||||
\(465\) | 39.5976 | 0.0851561 | ||||||||
\(466\) | −845.114 | + | 1.37123i | −1.81355 | + | 0.00294255i | ||||
\(467\) | −301.498 | + | 727.881i | −0.645606 | + | 1.55863i | 0.173403 | + | 0.984851i | \(0.444524\pi\) |
−0.819009 | + | 0.573781i | \(0.805476\pi\) | |||||||
\(468\) | −2.26205 | − | 5.41134i | −0.00483345 | − | 0.0115627i | ||||
\(469\) | 135.987 | − | 516.615i | 0.289950 | − | 1.10153i | ||||
\(470\) | −88.1792 | − | 36.3575i | −0.187615 | − | 0.0773564i | ||||
\(471\) | 411.986 | + | 411.986i | 0.874705 | + | 0.874705i | ||||
\(472\) | 242.144 | − | 592.731i | 0.513017 | − | 1.25579i | ||||
\(473\) | −14.7043 | + | 14.7043i | −0.0310873 | + | 0.0310873i | ||||
\(474\) | 207.512 | + | 498.688i | 0.437789 | + | 1.05208i | ||||
\(475\) | 9.43135 | + | 22.7693i | 0.0198555 | + | 0.0479353i | ||||
\(476\) | −71.3685 | − | 511.785i | −0.149934 | − | 1.07518i | ||||
\(477\) | −1.59942 | + | 3.86133i | −0.00335307 | + | 0.00809503i | ||||
\(478\) | 392.908 | + | 391.635i | 0.821984 | + | 0.819321i | ||||
\(479\) | 519.705i | 1.08498i | 0.840063 | + | 0.542489i | \(0.182518\pi\) | ||||
−0.840063 | + | 0.542489i | \(0.817482\pi\) | |||||||
\(480\) | 335.439 | + | 330.040i | 0.698832 | + | 0.687584i | ||||
\(481\) | 681.063i | 1.41593i | ||||||||
\(482\) | 422.034 | − | 423.406i | 0.875590 | − | 0.878436i | ||||
\(483\) | −25.9797 | − | 44.5432i | −0.0537882 | − | 0.0922219i | ||||
\(484\) | −208.501 | − | 207.152i | −0.430787 | − | 0.428000i | ||||
\(485\) | −485.841 | + | 201.242i | −1.00173 | + | 0.414932i | ||||
\(486\) | 6.10574 | + | 14.6732i | 0.0125633 | + | 0.0301917i | ||||
\(487\) | 576.480 | − | 576.480i | 1.18374 | − | 1.18374i | 0.204968 | − | 0.978769i | \(-0.434291\pi\) |
0.978769 | − | 0.204968i | \(-0.0657089\pi\) | |||||||
\(488\) | −86.2881 | − | 205.483i | −0.176820 | − | 0.421072i | ||||
\(489\) | −121.147 | + | 121.147i | −0.247745 | + | 0.247745i | ||||
\(490\) | −473.052 | − | 57.2579i | −0.965412 | − | 0.116853i | ||||
\(491\) | −166.968 | − | 403.095i | −0.340056 | − | 0.820968i | −0.997709 | − | 0.0676473i | \(-0.978451\pi\) |
0.657653 | − | 0.753321i | \(-0.271549\pi\) | |||||||
\(492\) | 30.5258 | + | 73.0246i | 0.0620442 | + | 0.148424i | ||||
\(493\) | −316.954 | + | 765.195i | −0.642909 | + | 1.55212i | ||||
\(494\) | −361.586 | + | 0.586687i | −0.731956 | + | 0.00118763i | ||||
\(495\) | −4.93297 | −0.00996559 | ||||||||
\(496\) | 0.279612 | + | 43.0820i | 0.000563734 | + | 0.0868588i | ||||
\(497\) | 202.726 | − | 266.626i | 0.407900 | − | 0.536470i | ||||
\(498\) | 1.38678 | + | 854.695i | 0.00278469 | + | 1.71626i | ||||
\(499\) | 342.105 | + | 141.704i | 0.685581 | + | 0.283977i | 0.698158 | − | 0.715944i | \(-0.254003\pi\) |
−0.0125767 | + | 0.999921i | \(0.504003\pi\) | |||||||
\(500\) | 194.642 | − | 474.255i | 0.389285 | − | 0.948510i | ||||
\(501\) | −275.795 | − | 665.828i | −0.550489 | − | 1.32900i | ||||
\(502\) | −681.395 | − | 280.949i | −1.35736 | − | 0.559659i | ||||
\(503\) | −46.8393 | + | 46.8393i | −0.0931198 | + | 0.0931198i | −0.752132 | − | 0.659012i | \(-0.770974\pi\) |
0.659012 | + | 0.752132i | \(0.270974\pi\) | |||||||
\(504\) | 1.15151 | + | 8.16071i | 0.00228475 | + | 0.0161919i | ||||
\(505\) | −602.374 | + | 602.374i | −1.19282 | + | 1.19282i | ||||
\(506\) | 12.9013 | + | 31.0042i | 0.0254967 | + | 0.0612731i | ||||
\(507\) | 80.7127 | + | 194.858i | 0.159197 | + | 0.384335i | ||||
\(508\) | 2.32280 | + | 715.791i | 0.00457244 | + | 1.40904i | ||||
\(509\) | 505.608 | + | 209.430i | 0.993335 | + | 0.411453i | 0.819349 | − | 0.573295i | \(-0.194335\pi\) |
0.173986 | + | 0.984748i | \(0.444335\pi\) | |||||||
\(510\) | −384.428 | − | 383.182i | −0.753780 | − | 0.751337i | ||||
\(511\) | 424.026 | − | 557.679i | 0.829797 | − | 1.09135i | ||||
\(512\) | −356.713 | + | 367.287i | −0.696706 | + | 0.717357i | ||||
\(513\) | 485.862 | 0.947099 | ||||||||
\(514\) | −80.5351 | − | 80.2741i | −0.156683 | − | 0.156175i | ||||
\(515\) | −88.3911 | + | 213.395i | −0.171633 | + | 0.414359i | ||||
\(516\) | 36.4934 | − | 0.118424i | 0.0707236 | − | 0.000229504i | ||||
\(517\) | 25.8747 | + | 62.4670i | 0.0500477 | + | 0.120826i | ||||
\(518\) | 242.112 | − | 925.886i | 0.467397 | − | 1.78743i | ||||
\(519\) | 282.012 | − | 282.012i | 0.543375 | − | 0.543375i | ||||
\(520\) | 275.369 | + | 272.701i | 0.529555 | + | 0.524425i | ||||
\(521\) | 275.780 | − | 275.780i | 0.529328 | − | 0.529328i | −0.391044 | − | 0.920372i | \(-0.627886\pi\) |
0.920372 | + | 0.391044i | \(0.127886\pi\) | |||||||
\(522\) | 5.03536 | − | 12.2124i | 0.00964629 | − | 0.0233955i | ||||
\(523\) | −580.923 | + | 240.626i | −1.11075 | + | 0.460089i | −0.861197 | − | 0.508272i | \(-0.830285\pi\) |
−0.249556 | + | 0.968360i | \(0.580285\pi\) | |||||||
\(524\) | 93.6580 | − | 228.202i | 0.178737 | − | 0.435500i | ||||
\(525\) | 24.8375 | − | 14.4864i | 0.0473094 | − | 0.0275931i | ||||
\(526\) | −0.842037 | − | 518.963i | −0.00160083 | − | 0.986622i | ||||
\(527\) | − | 49.6931i | − | 0.0942944i | ||||||
\(528\) | −2.16502 | − | 333.581i | −0.00410041 | − | 0.631781i | ||||
\(529\) | − | 523.067i | − | 0.988785i | ||||||
\(530\) | −0.448090 | − | 276.166i | −0.000845453 | − | 0.521069i | ||||
\(531\) | 4.50758 | − | 10.8823i | 0.00848886 | − | 0.0204939i | ||||
\(532\) | 491.775 | + | 127.743i | 0.924389 | + | 0.240119i | ||||
\(533\) | 24.9443 | + | 60.2209i | 0.0467998 | + | 0.112985i | ||||
\(534\) | 571.923 | + | 235.812i | 1.07102 | + | 0.441595i | ||||
\(535\) | 253.099 | − | 253.099i | 0.473083 | − | 0.473083i | ||||
\(536\) | 562.912 | − | 236.382i | 1.05021 | − | 0.441012i | ||||
\(537\) | −51.4861 | − | 51.4861i | −0.0958772 | − | 0.0958772i | ||||
\(538\) | −213.611 | − | 513.345i | −0.397047 | − | 0.954174i | ||||
\(539\) | 207.988 | + | 266.159i | 0.385878 | + | 0.493802i | ||||
\(540\) | −369.416 | − | 367.026i | −0.684104 | − | 0.679679i | ||||
\(541\) | −217.598 | + | 525.327i | −0.402214 | + | 0.971030i | 0.584914 | + | 0.811096i | \(0.301128\pi\) |
−0.987128 | + | 0.159935i | \(0.948872\pi\) | |||||||
\(542\) | −680.038 | + | 682.248i | −1.25468 | + | 1.25876i | ||||
\(543\) | −165.760 | −0.305267 | ||||||||
\(544\) | 414.185 | − | 420.961i | 0.761370 | − | 0.773825i | ||||
\(545\) | − | 669.915i | − | 1.22920i | ||||||
\(546\) | 57.5864 | + | 417.909i | 0.105470 | + | 0.765402i | ||||
\(547\) | 320.292 | − | 773.253i | 0.585543 | − | 1.41362i | −0.302182 | − | 0.953250i | \(-0.597715\pi\) |
0.887725 | − | 0.460375i | \(-0.152285\pi\) | |||||||
\(548\) | −308.163 | + | 310.169i | −0.562341 | + | 0.566002i | ||||
\(549\) | −1.56897 | − | 3.78782i | −0.00285786 | − | 0.00689949i | ||||
\(550\) | −17.2881 | + | 7.19383i | −0.0314328 | + | 0.0130797i | ||||
\(551\) | −575.860 | − | 575.860i | −1.04512 | − | 1.04512i | ||||
\(552\) | 22.2872 | − | 54.5556i | 0.0403753 | − | 0.0988326i | ||||
\(553\) | −84.3218 | − | 619.359i | −0.152481 | − | 1.12000i | ||||
\(554\) | 510.710 | + | 210.573i | 0.921860 | + | 0.380096i | ||||
\(555\) | −384.694 | − | 928.735i | −0.693143 | − | 1.67340i | ||||
\(556\) | 172.855 | + | 413.509i | 0.310890 | + | 0.743720i | ||||
\(557\) | 190.205 | + | 78.7854i | 0.341481 | + | 0.141446i | 0.546832 | − | 0.837242i | \(-0.315834\pi\) |
−0.205351 | + | 0.978688i | \(0.565834\pi\) | |||||||
\(558\) | 0.00128597 | + | 0.792565i | 2.30460e−6 | + | 0.00142037i | ||||
\(559\) | 30.0544 | 0.0537646 | ||||||||
\(560\) | −277.413 | − | 468.620i | −0.495381 | − | 0.836822i | ||||
\(561\) | 384.771i | 0.685865i | ||||||||
\(562\) | 0.488300 | + | 300.949i | 0.000868862 | + | 0.535496i | ||||
\(563\) | 125.324 | − | 302.558i | 0.222600 | − | 0.537403i | −0.772642 | − | 0.634842i | \(-0.781065\pi\) |
0.995241 | + | 0.0974391i | \(0.0310651\pi\) | |||||||
\(564\) | 45.0520 | − | 109.771i | 0.0798794 | − | 0.194630i | ||||
\(565\) | −76.2220 | + | 31.5722i | −0.134906 | + | 0.0558800i | ||||
\(566\) | 624.359 | + | 257.432i | 1.10311 | + | 0.454827i | ||||
\(567\) | −77.7181 | − | 570.854i | −0.137069 | − | 1.00680i | ||||
\(568\) | 382.788 | − | 1.86328i | 0.673923 | − | 0.00328042i | ||||
\(569\) | 49.0645 | − | 49.0645i | 0.0862293 | − | 0.0862293i | −0.662676 | − | 0.748906i | \(-0.730580\pi\) |
0.748906 | + | 0.662676i | \(0.230580\pi\) | |||||||
\(570\) | 492.747 | − | 205.040i | 0.864469 | − | 0.359719i | ||||
\(571\) | 435.785 | − | 180.508i | 0.763196 | − | 0.316126i | 0.0330833 | − | 0.999453i | \(-0.489467\pi\) |
0.730113 | + | 0.683326i | \(0.239467\pi\) | |||||||
\(572\) | −0.891508 | − | 274.726i | −0.00155858 | − | 0.480290i | ||||
\(573\) | −670.983 | − | 277.930i | −1.17100 | − | 0.485044i | ||||
\(574\) | −12.5031 | − | 90.7361i | −0.0217824 | − | 0.158077i | ||||
\(575\) | −3.30802 | −0.00575307 | ||||||||
\(576\) | −6.59503 | + | 6.72470i | −0.0114497 | + | 0.0116748i | ||||
\(577\) | 906.026i | 1.57024i | 0.619346 | + | 0.785118i | \(0.287398\pi\) | ||||
−0.619346 | + | 0.785118i | \(0.712602\pi\) | |||||||
\(578\) | −72.8317 | + | 73.0685i | −0.126006 | + | 0.126416i | ||||
\(579\) | −662.931 | − | 274.595i | −1.14496 | − | 0.474257i | ||||
\(580\) | 2.83250 | + | 872.858i | 0.00488361 | + | 1.50493i | ||||
\(581\) | 251.778 | − | 956.509i | 0.433353 | − | 1.64632i | ||||
\(582\) | −251.332 | − | 603.996i | −0.431842 | − | 1.03779i | ||||
\(583\) | −138.431 | + | 138.431i | −0.237445 | + | 0.237445i | ||||
\(584\) | 800.647 | − | 3.89726i | 1.37097 | − | 0.00667340i | ||||
\(585\) | 5.04129 | + | 5.04129i | 0.00861760 | + | 0.00861760i | ||||
\(586\) | −911.466 | − | 375.810i | −1.55540 | − | 0.641314i | ||||
\(587\) | −1062.40 | + | 440.061i | −1.80988 | + | 0.749678i | −0.827856 | + | 0.560940i | \(0.810440\pi\) |
−0.982027 | + | 0.188738i | \(0.939560\pi\) | |||||||
\(588\) | 70.2758 | − | 588.608i | 0.119517 | − | 1.00103i | ||||
\(589\) | 45.1427 | + | 18.6987i | 0.0766429 | + | 0.0317465i | ||||
\(590\) | 1.26284 | + | 778.311i | 0.00214040 | + | 1.31917i | ||||
\(591\) | −466.766 | −0.789790 | ||||||||
\(592\) | 1007.74 | − | 425.104i | 1.70227 | − | 0.718080i | ||||
\(593\) | 78.5514 | 0.132464 | 0.0662322 | − | 0.997804i | \(-0.478902\pi\) | ||||
0.0662322 | + | 0.997804i | \(0.478902\pi\) | |||||||
\(594\) | 0.598958 | + | 369.149i | 0.00100835 | + | 0.621463i | ||||
\(595\) | 316.463 | + | 542.587i | 0.531870 | + | 0.911911i | ||||
\(596\) | 286.509 | − | 119.767i | 0.480720 | − | 0.200951i | ||||
\(597\) | −11.7433 | − | 28.3509i | −0.0196706 | − | 0.0474889i | ||||
\(598\) | 18.5004 | − | 44.8697i | 0.0309371 | − | 0.0750329i | ||||
\(599\) | 603.410 | + | 603.410i | 1.00736 | + | 1.00736i | 0.999973 | + | 0.00738991i | \(0.00235230\pi\) |
0.00738991 | + | 0.999973i | \(0.497648\pi\) | |||||||
\(600\) | 30.4204 | + | 12.4274i | 0.0507007 | + | 0.0207124i | ||||
\(601\) | 114.383 | + | 114.383i | 0.190322 | + | 0.190322i | 0.795835 | − | 0.605514i | \(-0.207032\pi\) |
−0.605514 | + | 0.795835i | \(0.707032\pi\) | |||||||
\(602\) | −40.8581 | − | 10.6841i | −0.0678707 | − | 0.0177476i | ||||
\(603\) | 10.3766 | − | 4.29811i | 0.0172082 | − | 0.00712788i | ||||
\(604\) | −359.049 | + | 361.387i | −0.594452 | + | 0.598322i | ||||
\(605\) | 330.076 | + | 136.722i | 0.545581 | + | 0.225987i | ||||
\(606\) | −750.589 | − | 748.157i | −1.23860 | − | 1.23458i | ||||
\(607\) | − | 932.181i | − | 1.53572i | −0.640619 | − | 0.767859i | \(-0.721322\pi\) | ||
0.640619 | − | 0.767859i | \(-0.278678\pi\) | |||||||
\(608\) | 226.562 | + | 534.658i | 0.372634 | + | 0.879372i | ||||
\(609\) | −575.076 | + | 756.339i | −0.944295 | + | 1.24194i | ||||
\(610\) | 191.872 | + | 191.251i | 0.314544 | + | 0.313525i | ||||
\(611\) | 37.3959 | − | 90.2816i | 0.0612044 | − | 0.147760i | ||||
\(612\) | 7.65709 | − | 7.70695i | 0.0125116 | − | 0.0125931i | ||||
\(613\) | 531.042 | − | 219.965i | 0.866300 | − | 0.358833i | 0.0951317 | − | 0.995465i | \(-0.469673\pi\) |
0.771168 | + | 0.636632i | \(0.219673\pi\) | |||||||
\(614\) | 413.816 | + | 994.473i | 0.673967 | + | 1.61966i | ||||
\(615\) | −68.0308 | − | 68.0308i | −0.110619 | − | 0.110619i | ||||
\(616\) | −96.4506 | + | 373.799i | −0.156576 | + | 0.606817i | ||||
\(617\) | 488.091 | + | 488.091i | 0.791072 | + | 0.791072i | 0.981668 | − | 0.190597i | \(-0.0610422\pi\) |
−0.190597 | + | 0.981668i | \(0.561042\pi\) | |||||||
\(618\) | −265.649 | − | 109.531i | −0.429853 | − | 0.177234i | ||||
\(619\) | 69.0349 | − | 28.5952i | 0.111527 | − | 0.0461958i | −0.326222 | − | 0.945293i | \(-0.605776\pi\) |
0.437749 | + | 0.899097i | \(0.355776\pi\) | |||||||
\(620\) | −20.1982 | − | 48.3186i | −0.0325777 | − | 0.0779332i | ||||
\(621\) | −24.9566 | + | 60.2507i | −0.0401878 | + | 0.0970220i | ||||
\(622\) | 0.334478 | + | 206.145i | 0.000537745 | + | 0.331422i | ||||
\(623\) | −569.883 | − | 433.306i | −0.914741 | − | 0.695515i | ||||
\(624\) | −338.693 | + | 343.118i | −0.542778 | + | 0.549869i | ||||
\(625\) | 589.202i | 0.942723i | ||||||||
\(626\) | −1159.93 | + | 1.88203i | −1.85292 | + | 0.00300643i | ||||
\(627\) | −349.537 | − | 144.783i | −0.557475 | − | 0.230914i | ||||
\(628\) | 292.574 | − | 712.871i | 0.465882 | − | 1.13514i | ||||
\(629\) | −1165.52 | + | 482.774i | −1.85297 | + | 0.767526i | ||||
\(630\) | −5.06137 | − | 8.64563i | −0.00803391 | − | 0.0137232i | ||||
\(631\) | −115.013 | − | 115.013i | −0.182271 | − | 0.182271i | 0.610074 | − | 0.792345i | \(-0.291140\pi\) |
−0.792345 | + | 0.610074i | \(0.791140\pi\) | |||||||
\(632\) | 502.671 | − | 507.588i | 0.795365 | − | 0.803146i | ||||
\(633\) | 570.405 | + | 570.405i | 0.901114 | + | 0.901114i | ||||
\(634\) | 70.6225 | + | 169.718i | 0.111392 | + | 0.267694i | ||||
\(635\) | −332.973 | − | 803.867i | −0.524367 | − | 1.26593i | ||||
\(636\) | 343.559 | − | 1.11488i | 0.540187 | − | 0.00175295i | ||||
\(637\) | 59.4487 | − | 484.560i | 0.0933260 | − | 0.760690i | ||||
\(638\) | 436.818 | − | 438.238i | 0.684668 | − | 0.686893i | ||||
\(639\) | 7.04198 | 0.0110203 | ||||||||
\(640\) | 231.626 | − | 577.666i | 0.361916 | − | 0.902603i | ||||
\(641\) | 7.26223 | 0.0113295 | 0.00566477 | − | 0.999984i | \(-0.498197\pi\) | ||||
0.00566477 | + | 0.999984i | \(0.498197\pi\) | |||||||
\(642\) | 315.375 | + | 314.353i | 0.491238 | + | 0.489646i | ||||
\(643\) | −666.011 | − | 275.871i | −1.03579 | − | 0.429037i | −0.200989 | − | 0.979594i | \(-0.564415\pi\) |
−0.834798 | + | 0.550557i | \(0.814415\pi\) | |||||||
\(644\) | −41.1015 | + | 54.4223i | −0.0638222 | + | 0.0845067i | ||||
\(645\) | −40.9838 | + | 16.9761i | −0.0635408 | + | 0.0263195i | ||||
\(646\) | −257.316 | − | 618.375i | −0.398321 | − | 0.957237i | ||||
\(647\) | 280.132 | + | 280.132i | 0.432971 | + | 0.432971i | 0.889638 | − | 0.456667i | \(-0.150957\pi\) |
−0.456667 | + | 0.889638i | \(0.650957\pi\) | |||||||
\(648\) | 463.304 | − | 467.836i | 0.714975 | − | 0.721969i | ||||
\(649\) | 390.135 | − | 390.135i | 0.601132 | − | 0.601132i | ||||
\(650\) | 25.0195 | + | 10.3159i | 0.0384915 | + | 0.0158706i | ||||
\(651\) | 14.5113 | − | 55.1288i | 0.0222909 | − | 0.0846833i | ||||
\(652\) | 209.624 | + | 86.0332i | 0.321509 | + | 0.131953i | ||||
\(653\) | −1117.64 | − | 462.940i | −1.71154 | − | 0.708944i | −0.999980 | − | 0.00631987i | \(-0.997988\pi\) |
−0.711561 | − | 0.702624i | \(-0.752012\pi\) | |||||||
\(654\) | 833.397 | − | 1.35222i | 1.27431 | − | 0.00206761i | ||||
\(655\) | 299.850i | 0.457786i | ||||||||
\(656\) | 73.5368 | − | 74.4976i | 0.112099 | − | 0.113563i | ||||
\(657\) | 14.7291 | 0.0224188 | ||||||||
\(658\) | −82.9329 | + | 109.441i | −0.126038 | + | 0.166324i | ||||
\(659\) | 80.8647 | + | 33.4953i | 0.122708 | + | 0.0508274i | 0.443193 | − | 0.896426i | \(-0.353846\pi\) |
−0.320485 | + | 0.947254i | \(0.603846\pi\) | |||||||
\(660\) | 156.393 | + | 374.127i | 0.236959 | + | 0.566860i | ||||
\(661\) | 584.186 | − | 241.978i | 0.883791 | − | 0.366078i | 0.105825 | − | 0.994385i | \(-0.466252\pi\) |
0.777966 | + | 0.628307i | \(0.216252\pi\) | |||||||
\(662\) | 606.176 | + | 249.935i | 0.915674 | + | 0.377545i | ||||
\(663\) | 393.220 | − | 393.220i | 0.593092 | − | 0.593092i | ||||
\(664\) | 1042.23 | − | 437.660i | 1.56962 | − | 0.659127i | ||||
\(665\) | −611.981 | + | 83.3173i | −0.920272 | + | 0.125289i | ||||
\(666\) | 18.5766 | − | 7.73001i | 0.0278928 | − | 0.0116066i | ||||
\(667\) | 100.991 | − | 41.8317i | 0.151410 | − | 0.0627162i | ||||
\(668\) | −671.791 | + | 676.166i | −1.00568 | + | 1.01222i | ||||
\(669\) | −104.951 | + | 253.373i | −0.156877 | + | 0.378734i | ||||
\(670\) | −523.922 | + | 525.625i | −0.781973 | + | 0.784515i | ||||
\(671\) | − | 192.043i | − | 0.286205i | ||||||
\(672\) | 582.420 | − | 346.058i | 0.866696 | − | 0.514967i | ||||
\(673\) | −514.767 | −0.764884 | −0.382442 | − | 0.923980i | \(-0.624917\pi\) | ||||
−0.382442 | + | 0.923980i | \(0.624917\pi\) | |||||||
\(674\) | −214.736 | − | 214.041i | −0.318600 | − | 0.317568i | ||||
\(675\) | −33.5960 | − | 13.9159i | −0.0497719 | − | 0.0206162i | ||||
\(676\) | 196.603 | − | 197.883i | 0.290833 | − | 0.292727i | ||||
\(677\) | 28.3586 | + | 68.4637i | 0.0418886 | + | 0.101128i | 0.943439 | − | 0.331546i | \(-0.107570\pi\) |
−0.901551 | + | 0.432674i | \(0.857570\pi\) | |||||||
\(678\) | −39.4307 | − | 94.7590i | −0.0581574 | − | 0.139763i | ||||
\(679\) | 102.128 | + | 750.149i | 0.150409 | + | 1.10479i | ||||
\(680\) | −271.483 | + | 664.550i | −0.399240 | + | 0.977279i | ||||
\(681\) | 633.331 | + | 633.331i | 0.930002 | + | 0.930002i | ||||
\(682\) | −14.1513 | + | 34.3216i | −0.0207497 | + | 0.0503249i | ||||
\(683\) | 505.795 | + | 1221.10i | 0.740548 | + | 1.78784i | 0.603638 | + | 0.797259i | \(0.293717\pi\) |
0.136911 | + | 0.990583i | \(0.456283\pi\) | |||||||
\(684\) | 4.11998 | + | 9.85592i | 0.00602336 | + | 0.0144092i | ||||
\(685\) | 203.390 | − | 491.027i | 0.296920 | − | 0.716827i | ||||
\(686\) | −253.075 | + | 637.612i | −0.368915 | + | 0.929463i | ||||
\(687\) | − | 803.703i | − | 1.16987i | ||||||
\(688\) | −18.7593 | − | 44.4703i | −0.0272664 | − | 0.0646371i | ||||
\(689\) | 282.941 | 0.410654 | ||||||||
\(690\) | 0.116233 | + | 71.6365i | 0.000168454 | + | 0.103821i | ||||
\(691\) | 70.8973 | − | 171.161i | 0.102601 | − | 0.247701i | −0.864240 | − | 0.503080i | \(-0.832200\pi\) |
0.966841 | + | 0.255379i | \(0.0822002\pi\) | |||||||
\(692\) | −487.972 | − | 200.272i | −0.705163 | − | 0.289411i | ||||
\(693\) | −1.80779 | + | 6.86781i | −0.00260864 | + | 0.00991026i | ||||
\(694\) | 199.806 | − | 484.597i | 0.287905 | − | 0.698266i | ||||
\(695\) | −385.231 | − | 385.231i | −0.554289 | − | 0.554289i | ||||
\(696\) | −1085.86 | + | 5.28557i | −1.56014 | + | 0.00759422i | ||||
\(697\) | −85.3756 | + | 85.3756i | −0.122490 | + | 0.122490i | ||||
\(698\) | 530.889 | − | 220.911i | 0.760586 | − | 0.316492i | ||||
\(699\) | 489.068 | + | 1180.71i | 0.699668 | + | 1.68915i | ||||
\(700\) | −30.3461 | − | 22.9184i | −0.0433516 | − | 0.0327405i | ||||
\(701\) | 186.955 | − | 451.349i | 0.266697 | − | 0.643864i | −0.732627 | − | 0.680631i | \(-0.761706\pi\) |
0.999324 | + | 0.0367666i | \(0.0117058\pi\) | |||||||
\(702\) | 376.643 | − | 377.867i | 0.536528 | − | 0.538272i | ||||
\(703\) | − | 1240.45i | − | 1.76451i | ||||||
\(704\) | −405.944 | + | 172.797i | −0.576625 | + | 0.245450i | ||||
\(705\) | 144.236i | 0.204590i | ||||||||
\(706\) | 309.436 | + | 308.433i | 0.438294 | + | 0.436874i | ||||
\(707\) | 617.888 | + | 1059.39i | 0.873958 | + | 1.49843i | ||||
\(708\) | −968.243 | + | 3.14203i | −1.36757 | + | 0.00443789i | ||||
\(709\) | −172.457 | + | 71.4339i | −0.243239 | + | 0.100753i | −0.500973 | − | 0.865463i | \(-0.667024\pi\) |
0.257734 | + | 0.966216i | \(0.417024\pi\) | |||||||
\(710\) | −429.603 | + | 178.765i | −0.605075 | + | 0.251781i | ||||
\(711\) | 9.29263 | − | 9.29263i | 0.0130698 | − | 0.0130698i | ||||
\(712\) | −3.98255 | − | 818.168i | −0.00559347 | − | 1.14911i | ||||
\(713\) | −4.63757 | + | 4.63757i | −0.00650431 | + | 0.00650431i | ||||
\(714\) | −674.358 | + | 394.785i | −0.944478 | + | 0.552921i | ||||
\(715\) | 127.797 | + | 308.530i | 0.178738 | + | 0.431511i | ||||
\(716\) | −36.5631 | + | 89.0877i | −0.0510658 | + | 0.124424i | ||||
\(717\) | 321.038 | − | 775.053i | 0.447751 | − | 1.08097i | ||||
\(718\) | −0.791667 | − | 487.919i | −0.00110260 | − | 0.679553i | ||||
\(719\) | 1069.38 | 1.48732 | 0.743659 | − | 0.668559i | \(-0.233089\pi\) | ||||
0.743659 | + | 0.668559i | \(0.233089\pi\) | |||||||
\(720\) | 4.31274 | − | 10.6061i | 0.00598992 | − | 0.0147306i | ||||
\(721\) | 264.701 | + | 201.263i | 0.367131 | + | 0.279145i | ||||
\(722\) | −63.4259 | + | 0.102911i | −0.0878476 | + | 0.000142536i | ||||
\(723\) | −835.213 | − | 345.957i | −1.15520 | − | 0.478501i | ||||
\(724\) | 84.5518 | + | 202.267i | 0.116784 | + | 0.279375i | ||||
\(725\) | 23.3255 | + | 56.3128i | 0.0321731 | + | 0.0776728i | ||||
\(726\) | −169.421 | + | 410.902i | −0.233362 | + | 0.565981i | ||||
\(727\) | −315.123 | + | 315.123i | −0.433456 | + | 0.433456i | −0.889802 | − | 0.456346i | \(-0.849158\pi\) |
0.456346 | + | 0.889802i | \(0.349158\pi\) | |||||||
\(728\) | 480.576 | − | 283.439i | 0.660132 | − | 0.389339i | ||||
\(729\) | −506.778 | + | 506.778i | −0.695169 | + | 0.695169i | ||||
\(730\) | −898.565 | + | 373.907i | −1.23091 | + | 0.512202i | ||||
\(731\) | 21.3042 | + | 51.4328i | 0.0291439 | + | 0.0703595i | ||||
\(732\) | −237.535 | + | 239.081i | −0.324501 | + | 0.326614i | ||||
\(733\) | 786.082 | + | 325.606i | 1.07242 | + | 0.444210i | 0.847843 | − | 0.530247i | \(-0.177901\pi\) |
0.224574 | + | 0.974457i | \(0.427901\pi\) | |||||||
\(734\) | 621.380 | − | 623.399i | 0.846566 | − | 0.849318i | ||||
\(735\) | 192.633 | + | 694.351i | 0.262086 | + | 0.944695i | ||||
\(736\) | −77.9393 | + | 0.632311i | −0.105896 | + | 0.000859118i | ||||
\(737\) | 526.094 | 0.713832 | ||||||||
\(738\) | 1.35946 | − | 1.36388i | 0.00184209 | − | 0.00184808i | ||||
\(739\) | 481.117 | − | 1161.52i | 0.651037 | − | 1.57174i | −0.160238 | − | 0.987078i | \(-0.551226\pi\) |
0.811275 | − | 0.584665i | \(-0.198774\pi\) | |||||||
\(740\) | −937.053 | + | 943.154i | −1.26629 | + | 1.27453i | ||||
\(741\) | 209.250 | + | 505.174i | 0.282389 | + | 0.681747i | ||||
\(742\) | −384.650 | − | 100.583i | −0.518397 | − | 0.135557i | ||||
\(743\) | 343.644 | − | 343.644i | 0.462508 | − | 0.462508i | −0.436968 | − | 0.899477i | \(-0.643948\pi\) |
0.899477 | + | 0.436968i | \(0.143948\pi\) | |||||||
\(744\) | 60.0692 | − | 25.2247i | 0.0807381 | − | 0.0339042i | ||||
\(745\) | −266.917 | + | 266.917i | −0.358277 | + | 0.358277i | ||||
\(746\) | −753.742 | − | 310.778i | −1.01038 | − | 0.416593i | ||||
\(747\) | 19.2121 | − | 7.95791i | 0.0257190 | − | 0.0106532i | ||||
\(748\) | 469.513 | − | 196.266i | 0.627691 | − | 0.262388i | ||||
\(749\) | −259.618 | − | 445.125i | −0.346620 | − | 0.594292i | ||||
\(750\) | −775.226 | + | 1.25783i | −1.03363 | + | 0.00167711i | ||||
\(751\) | 782.796i | 1.04234i | 0.853453 | + | 0.521169i | \(0.174504\pi\) | ||||
−0.853453 | + | 0.521169i | \(0.825496\pi\) | |||||||
\(752\) | −156.928 | + | 1.01850i | −0.208680 | + | 0.00135439i | ||||
\(753\) | 1114.57i | 1.48017i | ||||||||
\(754\) | −894.272 | + | 1.45099i | −1.18604 | + | 0.00192439i | ||||
\(755\) | 236.975 | − | 572.109i | 0.313874 | − | 0.757760i | ||||
\(756\) | −646.364 | + | 379.807i | −0.854979 | + | 0.502390i | ||||
\(757\) | 431.979 | + | 1042.89i | 0.570646 | + | 1.37766i | 0.901006 | + | 0.433807i | \(0.142830\pi\) |
−0.330359 | + | 0.943855i | \(0.607170\pi\) | |||||||
\(758\) | −12.9141 | + | 31.3212i | −0.0170371 | + | 0.0413208i | ||||
\(759\) | 35.9084 | − | 35.9084i | 0.0473101 | − | 0.0473101i | ||||
\(760\) | −501.541 | − | 496.682i | −0.659923 | − | 0.653529i | ||||
\(761\) | 469.245 | + | 469.245i | 0.616617 | + | 0.616617i | 0.944662 | − | 0.328045i | \(-0.106390\pi\) |
−0.328045 | + | 0.944662i | \(0.606390\pi\) | |||||||
\(762\) | 999.366 | − | 415.852i | 1.31150 | − | 0.545737i | ||||
\(763\) | −932.674 | − | 245.504i | −1.22238 | − | 0.321762i | ||||
\(764\) | 3.11699 | + | 960.529i | 0.00407984 | + | 1.25724i | ||||
\(765\) | −5.05375 | + | 12.2008i | −0.00660620 | + | 0.0159488i | ||||
\(766\) | −699.780 | − | 697.513i | −0.913551 | − | 0.910592i | ||||
\(767\) | −797.404 | −1.03964 | ||||||||
\(768\) | 719.103 | + | 286.984i | 0.936332 | + | 0.373678i | ||||
\(769\) | − | 763.899i | − | 0.993366i | −0.867932 | − | 0.496683i | \(-0.834551\pi\) | ||
0.867932 | − | 0.496683i | \(-0.165449\pi\) | |||||||
\(770\) | −64.0573 | − | 464.869i | −0.0831914 | − | 0.603726i | ||||
\(771\) | −65.8036 | + | 158.864i | −0.0853483 | + | 0.206049i | ||||
\(772\) | 3.07959 | + | 949.002i | 0.00398911 | + | 1.22928i | ||||
\(773\) | 221.966 | + | 535.873i | 0.287148 | + | 0.693238i | 0.999967 | − | 0.00811074i | \(-0.00258176\pi\) |
−0.712819 | + | 0.701348i | \(0.752582\pi\) | |||||||
\(774\) | −0.341115 | − | 0.819761i | −0.000440717 | − | 0.00105912i | ||||
\(775\) | −2.58593 | − | 2.58593i | −0.00333668 | − | 0.00333668i | ||||
\(776\) | −608.819 | + | 614.775i | −0.784561 | + | 0.792236i | ||||
\(777\) | −1433.99 | + | 195.228i | −1.84554 | + | 0.251259i | ||||
\(778\) | 558.223 | − | 1353.88i | 0.717510 | − | 1.74020i | ||||
\(779\) | −45.4322 | − | 109.683i | −0.0583212 | − | 0.140800i | ||||
\(780\) | 222.516 | − | 542.170i | 0.285277 | − | 0.695090i | ||||
\(781\) | 304.744 | + | 126.229i | 0.390198 | + | 0.161625i | ||||
\(782\) | 89.9005 | − | 0.145867i | 0.114962 | − | 0.000186531i | ||||
\(783\) | 1201.63 | 1.53465 | ||||||||
\(784\) | −754.090 | + | 214.487i | −0.961849 | + | 0.273580i | ||||
\(785\) | 936.688i | 1.19323i | ||||||||
\(786\) | −373.023 | + | 0.605244i | −0.474584 | + | 0.000770031i | ||||
\(787\) | −436.004 | + | 1052.61i | −0.554007 | + | 1.33749i | 0.360438 | + | 0.932783i | \(0.382627\pi\) |
−0.914445 | + | 0.404709i | \(0.867373\pi\) | |||||||
\(788\) | 238.091 | + | 569.567i | 0.302145 | + | 0.722800i | ||||
\(789\) | −725.047 | + | 300.324i | −0.918944 | + | 0.380639i | ||||
\(790\) | −331.008 | + | 802.805i | −0.418997 | + | 1.01621i | ||||
\(791\) | 16.0225 | + | 117.689i | 0.0202561 | + | 0.148785i | ||||
\(792\) | −7.48327 | + | 3.14243i | −0.00944857 | + | 0.00396772i | ||||
\(793\) | −196.260 | + | 196.260i | −0.247491 | + | 0.247491i | ||||
\(794\) | −110.936 | − | 266.599i | −0.139718 | − | 0.335767i | ||||
\(795\) | −385.834 | + | 159.817i | −0.485325 | + | 0.201028i | ||||
\(796\) | −28.6048 | + | 28.7911i | −0.0359357 | + | 0.0361697i | ||||
\(797\) | 1230.72 | + | 509.782i | 1.54419 | + | 0.639626i | 0.982254 | − | 0.187553i | \(-0.0600557\pi\) |
0.561939 | + | 0.827179i | \(0.310056\pi\) | |||||||
\(798\) | −104.885 | − | 761.157i | −0.131435 | − | 0.953831i | ||||
\(799\) | 181.009 | 0.226545 | ||||||||
\(800\) | −0.352579 | − | 43.4593i | −0.000440724 | − | 0.0543241i | ||||
\(801\) | − | 15.0515i | − | 0.0187908i | ||||||
\(802\) | −353.535 | − | 352.390i | −0.440817 | − | 0.439389i | ||||
\(803\) | 637.409 | + | 264.023i | 0.793784 | + | 0.328796i | ||||
\(804\) | −654.952 | − | 650.715i | −0.814618 | − | 0.809348i | ||||
\(805\) | 21.1029 | − | 80.1701i | 0.0262147 | − | 0.0995902i | ||||
\(806\) | 49.5373 | − | 20.6133i | 0.0614607 | − | 0.0255748i | ||||
\(807\) | −594.546 | + | 594.546i | −0.736736 | + | 0.736736i | ||||
\(808\) | −530.067 | + | 1297.52i | −0.656024 | + | 1.60585i | ||||
\(809\) | 116.122 | + | 116.122i | 0.143538 | + | 0.143538i | 0.775224 | − | 0.631686i | \(-0.217637\pi\) |
−0.631686 | + | 0.775224i | \(0.717637\pi\) | |||||||
\(810\) | −305.085 | + | 739.933i | −0.376648 | + | 0.913497i | ||||
\(811\) | −442.106 | + | 183.126i | −0.545137 | + | 0.225803i | −0.638218 | − | 0.769855i | \(-0.720328\pi\) |
0.0930813 | + | 0.995659i | \(0.470328\pi\) | |||||||
\(812\) | 1216.25 | + | 315.933i | 1.49785 | + | 0.389080i | ||||
\(813\) | 1345.81 | + | 557.451i | 1.65536 | + | 0.685672i | ||||
\(814\) | 942.471 | − | 1.52919i | 1.15783 | − | 0.00187862i | ||||
\(815\) | −275.439 | −0.337962 | ||||||||
\(816\) | −827.270 | − | 336.393i | −1.01381 | − | 0.412246i | ||||
\(817\) | −54.7394 | −0.0670005 | ||||||||
\(818\) | 1178.85 | − | 1.91274i | 1.44114 | − | 0.00233831i | ||||
\(819\) | 8.86611 | − | 5.17114i | 0.0108255 | − | 0.00631397i | ||||
\(820\) | −48.3124 | + | 117.716i | −0.0589176 | + | 0.143556i | ||||
\(821\) | 105.858 | + | 255.563i | 0.128938 | + | 0.311283i | 0.975144 | − | 0.221572i | \(-0.0711189\pi\) |
−0.846206 | + | 0.532856i | \(0.821119\pi\) | |||||||
\(822\) | 611.264 | + | 252.033i | 0.743631 | + | 0.306609i | ||||
\(823\) | 1009.32 | + | 1009.32i | 1.22639 | + | 1.22639i | 0.965319 | + | 0.261074i | \(0.0840768\pi\) |
0.261074 | + | 0.965319i | \(0.415923\pi\) | |||||||
\(824\) | 1.84983 | + | 380.026i | 0.00224494 | + | 0.461196i | ||||
\(825\) | 20.0227 | + | 20.0227i | 0.0242699 | + | 0.0242699i | ||||
\(826\) | 1084.05 | + | 283.470i | 1.31241 | + | 0.343184i | ||||
\(827\) | 131.660 | − | 54.5353i | 0.159202 | − | 0.0659436i | −0.301659 | − | 0.953416i | \(-0.597541\pi\) |
0.460861 | + | 0.887472i | \(0.347541\pi\) | |||||||
\(828\) | −1.43384 | + | 0.00465292i | −0.00173169 | + | 5.61947e-6i | ||||
\(829\) | 215.638 | + | 89.3202i | 0.260118 | + | 0.107745i | 0.508932 | − | 0.860807i | \(-0.330041\pi\) |
−0.248813 | + | 0.968551i | \(0.580041\pi\) | |||||||
\(830\) | −970.037 | + | 973.190i | −1.16872 | + | 1.17252i | ||||
\(831\) | − | 835.375i | − | 1.00526i | ||||||
\(832\) | 591.450 | + | 238.268i | 0.710877 | + | 0.286379i | ||||
\(833\) | 871.378 | − | 241.746i | 1.04607 | − | 0.290211i | ||||
\(834\) | 478.463 | − | 480.018i | 0.573696 | − | 0.575561i | ||||
\(835\) | 443.388 | − | 1070.43i | 0.531003 | − | 1.28196i | ||||
\(836\) | 1.62374 | + | 500.370i | 0.00194228 | + | 0.598529i | ||||
\(837\) | −66.6079 | + | 27.5899i | −0.0795793 | + | 0.0329628i | ||||
\(838\) | −244.326 | + | 101.668i | −0.291558 | + | 0.121322i | ||||
\(839\) | −298.113 | − | 298.113i | −0.355319 | − | 0.355319i | 0.506765 | − | 0.862084i | \(-0.330841\pi\) |
−0.862084 | + | 0.506765i | \(0.830841\pi\) | |||||||
\(840\) | −495.241 | + | 657.963i | −0.589572 | + | 0.783290i | ||||
\(841\) | −829.536 | − | 829.536i | −0.986369 | − | 0.986369i | ||||
\(842\) | −154.766 | + | 375.359i | −0.183807 | + | 0.445794i | ||||
\(843\) | 420.457 | − | 174.159i | 0.498763 | − | 0.206594i | ||||
\(844\) | 405.076 | − | 986.987i | 0.479948 | − | 1.16942i | ||||
\(845\) | −129.760 | + | 313.267i | −0.153562 | + | 0.370731i | ||||
\(846\) | −2.88695 | + | 0.00468418i | −0.00341247 | + | 5.53686e-6i | ||||
\(847\) | 311.311 | − | 409.437i | 0.367546 | − | 0.483396i | ||||
\(848\) | −176.605 | − | 418.656i | −0.208261 | − | 0.493698i | ||||
\(849\) | − | 1021.27i | − | 1.20291i | ||||||
\(850\) | 0.0813360 | + | 50.1289i | 9.56894e−5 | + | 0.0589752i | ||||
\(851\) | 153.826 | + | 63.7166i | 0.180759 | + | 0.0748726i | ||||
\(852\) | −223.256 | − | 534.080i | −0.262038 | − | 0.626854i | ||||
\(853\) | −1031.22 | + | 427.145i | −1.20893 | + | 0.500756i | −0.893875 | − | 0.448317i | \(-0.852024\pi\) |
−0.315057 | + | 0.949073i | \(0.602024\pi\) | |||||||
\(854\) | 336.579 | − | 197.042i | 0.394121 | − | 0.230728i | ||||
\(855\) | −9.18193 | − | 9.18193i | −0.0107391 | − | 0.0107391i | ||||
\(856\) | 222.718 | − | 545.180i | 0.260185 | − | 0.636893i | ||||
\(857\) | −432.255 | − | 432.255i | −0.504381 | − | 0.504381i | 0.408415 | − | 0.912796i | \(-0.366082\pi\) |
−0.912796 | + | 0.408415i | \(0.866082\pi\) | |||||||
\(858\) | −383.564 | + | 159.607i | −0.447044 | + | 0.186022i | ||||
\(859\) | 355.935 | + | 859.304i | 0.414360 | + | 1.00035i | 0.983953 | + | 0.178427i | \(0.0571009\pi\) |
−0.569593 | + | 0.821927i | \(0.692899\pi\) | |||||||
\(860\) | 41.6201 | + | 41.3509i | 0.0483955 | + | 0.0480824i | ||||
\(861\) | −119.646 | + | 69.7831i | −0.138961 | + | 0.0810489i | ||||
\(862\) | −527.048 | − | 525.340i | −0.611424 | − | 0.609443i | ||||
\(863\) | 804.494 | 0.932206 | 0.466103 | − | 0.884730i | \(-0.345658\pi\) | ||||
0.466103 | + | 0.884730i | \(0.345658\pi\) | |||||||
\(864\) | −794.207 | − | 321.448i | −0.919221 | − | 0.372046i | ||||
\(865\) | 641.180 | 0.741248 | ||||||||
\(866\) | −4.91121 | + | 4.92718i | −0.00567115 | + | 0.00568958i | ||||
\(867\) | 144.135 | + | 59.7028i | 0.166246 | + | 0.0688613i | ||||
\(868\) | −74.6725 | + | 10.4131i | −0.0860282 | + | 0.0119966i | ||||
\(869\) | 568.715 | − | 235.569i | 0.654448 | − | 0.271081i | ||||
\(870\) | 1218.66 | − | 507.103i | 1.40076 | − | 0.582877i | ||||
\(871\) | −537.647 | − | 537.647i | −0.617275 | − | 0.617275i | ||||
\(872\) | −426.754 | − | 1016.25i | −0.489397 | − | 1.16543i | ||||
\(873\) | −11.2550 | + | 11.2550i | −0.0128923 | + | 0.0128923i | ||||
\(874\) | −33.6956 | + | 81.7231i | −0.0385533 | + | 0.0935047i | ||||
\(875\) | 867.574 | + | 228.368i | 0.991513 | + | 0.260992i | ||||
\(876\) | −466.967 | − | 1117.09i | −0.533067 | − | 1.27522i | ||||
\(877\) | −1400.91 | − | 580.275i | −1.59739 | − | 0.661659i | −0.606343 | − | 0.795203i | \(-0.707364\pi\) |
−0.991043 | + | 0.133545i | \(0.957364\pi\) | |||||||
\(878\) | 0.281912 | + | 173.748i | 0.000321085 | + | 0.197890i | ||||
\(879\) | 1490.90i | 1.69613i | ||||||||
\(880\) | 376.752 | − | 381.674i | 0.428127 | − | 0.433721i | ||||
\(881\) | −628.518 | −0.713415 | −0.356707 | − | 0.934216i | \(-0.616101\pi\) | ||||
−0.356707 | + | 0.934216i | \(0.616101\pi\) | |||||||
\(882\) | −13.8915 | + | 3.87820i | −0.0157500 | + | 0.00439705i | ||||
\(883\) | −100.974 | − | 41.8249i | −0.114354 | − | 0.0473668i | 0.324773 | − | 0.945792i | \(-0.394712\pi\) |
−0.439127 | + | 0.898425i | \(0.644712\pi\) | |||||||
\(884\) | −680.399 | − | 279.247i | −0.769682 | − | 0.315890i | ||||
\(885\) | 1087.38 | − | 450.409i | 1.22868 | − | 0.508936i | ||||
\(886\) | 244.920 | − | 594.013i | 0.276433 | − | 0.670444i | ||||
\(887\) | −1043.47 | + | 1043.47i | −1.17641 | + | 1.17641i | −0.195753 | + | 0.980653i | \(0.562715\pi\) |
−0.980653 | + | 0.195753i | \(0.937285\pi\) | |||||||
\(888\) | −1175.21 | − | 1163.82i | −1.32343 | − | 1.31061i | ||||
\(889\) | −1241.19 | + | 168.980i | −1.39616 | + | 0.190079i | ||||
\(890\) | 382.090 | + | 918.230i | 0.429314 | + | 1.03172i | ||||
\(891\) | 524.176 | − | 217.121i | 0.588300 | − | 0.243682i | ||||
\(892\) | 362.710 | − | 1.17702i | 0.406626 | − | 0.00131953i | ||||
\(893\) | −68.1108 | + | 164.434i | −0.0762718 | + | 0.184137i | ||||
\(894\) | −332.592 | − | 331.514i | −0.372027 | − | 0.370822i | ||||
\(895\) | − | 117.058i | − | 0.130791i | ||||||
\(896\) | −719.357 | − | 534.173i | −0.802854 | − | 0.596175i | ||||
\(897\) | −73.3938 | −0.0818214 | ||||||||
\(898\) | 915.970 | − | 918.947i | 1.02001 | − | 1.02333i | ||||
\(899\) | 111.646 | + | 46.2455i | 0.124190 | + | 0.0514410i | ||||
\(900\) | −0.00259449 | − | 0.799513i | −2.88276e−6 | − | 0.000888348i | ||||
\(901\) | 200.564 | + | 484.203i | 0.222601 | + | 0.537407i | ||||
\(902\) | 83.2791 | − | 34.6537i | 0.0923272 | − | 0.0384188i | ||||
\(903\) | 8.61516 | + | 63.2800i | 0.00954060 | + | 0.0700775i | ||||
\(904\) | −95.5158 | + | 96.4502i | −0.105659 | + | 0.106693i | ||||
\(905\) | −188.435 | − | 188.435i | −0.208216 | − | 0.208216i | ||||
\(906\) | 712.201 | + | 293.650i | 0.786093 | + | 0.324117i | ||||
\(907\) | 251.489 | + | 607.148i | 0.277276 | + | 0.669403i | 0.999758 | − | 0.0219864i | \(-0.00699907\pi\) |
−0.722483 | + | 0.691389i | \(0.756999\pi\) | |||||||
\(908\) | 449.763 | − | 1095.87i | 0.495334 | − | 1.20691i | ||||
\(909\) | −9.86736 | + | 23.8219i | −0.0108552 | + | 0.0262067i | ||||
\(910\) | −409.614 | + | 540.542i | −0.450125 | + | 0.594002i | ||||
\(911\) | − | 1559.69i | − | 1.71207i | −0.516921 | − | 0.856033i | \(-0.672922\pi\) | ||
0.516921 | − | 0.856033i | \(-0.327078\pi\) | |||||||
\(912\) | 616.877 | − | 624.937i | 0.676400 | − | 0.685238i | ||||
\(913\) | 974.059 | 1.06688 | ||||||||
\(914\) | −234.904 | + | 0.381141i | −0.257007 | + | 0.000417003i | ||||
\(915\) | 156.775 | − | 378.488i | 0.171339 | − | 0.413648i | ||||
\(916\) | −980.711 | + | 409.957i | −1.07064 | + | 0.447551i | ||||
\(917\) | 417.459 | + | 109.886i | 0.455244 | + | 0.119832i | ||||
\(918\) | 913.637 | + | 376.705i | 0.995248 | + | 0.410355i | ||||
\(919\) | 184.416 | + | 184.416i | 0.200671 | + | 0.200671i | 0.800287 | − | 0.599617i | \(-0.204680\pi\) |
−0.599617 | + | 0.800287i | \(0.704680\pi\) | |||||||
\(920\) | 87.3545 | − | 36.6826i | 0.0949506 | − | 0.0398724i | ||||
\(921\) | 1151.78 | − | 1151.78i | 1.25057 | − | 1.25057i | ||||
\(922\) | 230.020 | + | 552.779i | 0.249479 | + | 0.599543i | ||||
\(923\) | −182.435 | − | 440.437i | −0.197655 | − | 0.477180i | ||||
\(924\) | 578.184 | − | 80.6278i | 0.625740 | − | 0.0872595i | ||||
\(925\) | −35.5286 | + | 85.7737i | −0.0384093 | + | 0.0927284i | ||||
\(926\) | 442.158 | + | 440.726i | 0.477493 | + | 0.475946i | ||||
\(927\) | 6.99116i | 0.00754170i | ||||||||
\(928\) | 560.330 | + | 1322.31i | 0.603804 | + | 1.42491i | ||||
\(929\) | − | 675.607i | − | 0.727242i | −0.931547 | − | 0.363621i | \(-0.881540\pi\) | ||
0.931547 | − | 0.363621i | \(-0.118460\pi\) | |||||||
\(930\) | −55.9085 | + | 56.0902i | −0.0601167 | + | 0.0603121i | ||||
\(931\) | −108.276 | + | 882.550i | −0.116301 | + | 0.947959i | ||||
\(932\) | 1191.29 | − | 1199.05i | 1.27821 | − | 1.28653i | ||||
\(933\) | 288.006 | − | 119.296i | 0.308688 | − | 0.127863i | ||||
\(934\) | −605.358 | − | 1454.78i | −0.648134 | − | 1.55758i | ||||
\(935\) | −437.405 | + | 437.405i | −0.467813 | + | 0.467813i | ||||
\(936\) | 10.8590 | + | 4.43616i | 0.0116015 | + | 0.00473948i | ||||
\(937\) | −94.4110 | + | 94.4110i | −0.100759 | + | 0.100759i | −0.755689 | − | 0.654930i | \(-0.772698\pi\) |
0.654930 | + | 0.755689i | \(0.272698\pi\) | |||||||
\(938\) | 539.787 | + | 922.044i | 0.575466 | + | 0.982989i | ||||
\(939\) | 671.251 | + | 1620.54i | 0.714857 | + | 1.72582i | ||||
\(940\) | 176.002 | − | 73.5726i | 0.187237 | − | 0.0782687i | ||||
\(941\) | 221.846 | − | 535.585i | 0.235756 | − | 0.569166i | −0.761079 | − | 0.648659i | \(-0.775330\pi\) |
0.996835 | + | 0.0794933i | \(0.0253302\pi\) | |||||||
\(942\) | −1165.27 | + | 1.89070i | −1.23702 | + | 0.00200711i | ||||
\(943\) | 15.9352 | 0.0168984 | ||||||||
\(944\) | 497.721 | + | 1179.89i | 0.527246 | + | 1.24988i | ||||
\(945\) | 551.573 | − | 725.428i | 0.583675 | − | 0.767649i | ||||
\(946\) | −0.0674814 | − | 41.5900i | −7.13334e−5 | − | 0.0439641i | ||||
\(947\) | −1430.30 | − | 592.450i | −1.51035 | − | 0.625607i | −0.534720 | − | 0.845029i | \(-0.679583\pi\) |
−0.975630 | + | 0.219422i | \(0.929583\pi\) | |||||||
\(948\) | −999.384 | − | 410.164i | −1.05420 | − | 0.432663i | ||||
\(949\) | −381.585 | − | 921.227i | −0.402091 | − | 0.970734i | ||||
\(950\) | −45.5691 | − | 18.7888i | −0.0479675 | − | 0.0197777i | ||||
\(951\) | 196.564 | − | 196.564i | 0.206692 | − | 0.206692i | ||||
\(952\) | 825.713 | + | 621.504i | 0.867346 | + | 0.652841i | ||||
\(953\) | 615.729 | − | 615.729i | 0.646095 | − | 0.646095i | −0.305952 | − | 0.952047i | \(-0.598975\pi\) |
0.952047 | + | 0.305952i | \(0.0989747\pi\) | |||||||
\(954\) | −3.21136 | − | 7.71746i | −0.00336620 | − | 0.00808958i | ||||
\(955\) | −446.820 | − | 1078.72i | −0.467875 | − | 1.12955i | ||||
\(956\) | −1109.51 | + | 3.60045i | −1.16057 | + | 0.00376616i | ||||
\(957\) | −864.471 | − | 358.075i | −0.903313 | − | 0.374165i | ||||
\(958\) | −736.165 | − | 733.780i | −0.768439 | − | 0.765950i | ||||
\(959\) | −609.084 | − | 463.112i | −0.635124 | − | 0.482911i | ||||
\(960\) | −941.117 | + | 9.16226i | −0.980330 | + | 0.00954403i | ||||
\(961\) | 953.749 | 0.992455 | ||||||||
\(962\) | −964.730 | − | 961.604i | −1.00284 | − | 0.999589i | ||||
\(963\) | 4.14597 | − | 10.0092i | 0.00430526 | − | 0.0103938i | ||||
\(964\) | 3.87991 | + | 1195.63i | 0.00402481 | + | 1.24028i | ||||
\(965\) | −441.459 | − | 1065.78i | −0.457470 | − | 1.10443i | ||||
\(966\) | 99.7769 | + | 26.0908i | 0.103289 | + | 0.0270092i | ||||
\(967\) | −346.586 | + | 346.586i | −0.358413 | + | 0.358413i | −0.863228 | − | 0.504815i | \(-0.831561\pi\) |
0.504815 | + | 0.863228i | \(0.331561\pi\) | |||||||
\(968\) | 587.818 | − | 2.86129i | 0.607250 | − | 0.00295588i | ||||
\(969\) | −716.189 | + | 716.189i | −0.739101 | + | 0.739101i | ||||
\(970\) | 400.906 | − | 972.333i | 0.413306 | − | 1.00241i | ||||
\(971\) | 788.658 | − | 326.673i | 0.812212 | − | 0.336429i | 0.0623758 | − | 0.998053i | \(-0.480132\pi\) |
0.749836 | + | 0.661624i | \(0.230132\pi\) | |||||||
\(972\) | −29.4055 | − | 12.0685i | −0.0302525 | − | 0.0124161i | ||||
\(973\) | −677.505 | + | 395.153i | −0.696305 | + | 0.406118i | ||||
\(974\) | 2.64559 | + | 1630.53i | 0.00271621 | + | 1.67405i | ||||
\(975\) | − | 40.9247i | − | 0.0419740i | ||||||
\(976\) | 412.900 | + | 167.898i | 0.423053 | + | 0.172026i | ||||
\(977\) | 382.984i | 0.392000i | 0.980604 | + | 0.196000i | \(0.0627952\pi\) | ||||
−0.980604 | + | 0.196000i | \(0.937205\pi\) | |||||||
\(978\) | −0.555971 | − | 342.655i | −0.000568477 | − | 0.350363i | ||||
\(979\) | 269.801 | − | 651.358i | 0.275589 | − | 0.665330i | ||||
\(980\) | 749.016 | − | 589.237i | 0.764302 | − | 0.601263i | ||||
\(981\) | −7.75961 | − | 18.7333i | −0.00790990 | − | 0.0190962i | ||||
\(982\) | 806.732 | + | 332.627i | 0.821519 | + | 0.338724i | ||||
\(983\) | −711.598 | + | 711.598i | −0.723904 | + | 0.723904i | −0.969398 | − | 0.245494i | \(-0.921050\pi\) |
0.245494 | + | 0.969398i | \(0.421050\pi\) | |||||||
\(984\) | −146.540 | − | 59.8647i | −0.148922 | − | 0.0608381i | ||||
\(985\) | −530.617 | − | 530.617i | −0.538698 | − | 0.538698i | ||||
\(986\) | −636.391 | − | 1529.36i | −0.645427 | − | 1.55107i | ||||
\(987\) | 200.809 | + | 52.8581i | 0.203454 | + | 0.0535543i | ||||
\(988\) | 509.699 | − | 513.018i | 0.515889 | − | 0.519249i | ||||
\(989\) | 2.81173 | − | 6.78812i | 0.00284300 | − | 0.00686362i | ||||
\(990\) | 6.96494 | − | 6.98758i | 0.00703530 | − | 0.00705816i | ||||
\(991\) | 1183.70 | 1.19445 | 0.597227 | − | 0.802072i | \(-0.296269\pi\) | ||||
0.597227 | + | 0.802072i | \(0.296269\pi\) | |||||||
\(992\) | −61.4207 | − | 60.4321i | −0.0619160 | − | 0.0609194i | ||||
\(993\) | − | 991.529i | − | 0.998519i | ||||||
\(994\) | 91.4440 | + | 663.617i | 0.0919960 | + | 0.667622i | ||||
\(995\) | 18.8794 | − | 45.5789i | 0.0189743 | − | 0.0458080i | ||||
\(996\) | −1212.64 | − | 1204.79i | −1.21751 | − | 1.20963i | ||||
\(997\) | −541.906 | − | 1308.28i | −0.543537 | − | 1.31221i | −0.922212 | − | 0.386684i | \(-0.873620\pi\) |
0.378675 | − | 0.925530i | \(-0.376380\pi\) | |||||||
\(998\) | −683.749 | + | 284.519i | −0.685119 | + | 0.285089i | ||||
\(999\) | 1294.20 | + | 1294.20i | 1.29550 | + | 1.29550i |
(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 | 224.3.v.b.13.16 | yes | 240 | |
7.6 | odd | 2 | inner | 224.3.v.b.13.15 | ✓ | 240 | |
32.5 | even | 8 | inner | 224.3.v.b.69.15 | yes | 240 | |
224.69 | odd | 8 | inner | 224.3.v.b.69.16 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.3.v.b.13.15 | ✓ | 240 | 7.6 | odd | 2 | inner | |
224.3.v.b.13.16 | yes | 240 | 1.1 | even | 1 | trivial | |
224.3.v.b.69.15 | yes | 240 | 32.5 | even | 8 | inner | |
224.3.v.b.69.16 | yes | 240 | 224.69 | odd | 8 | inner |