Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,3,Mod(11,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 8]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.j (of order \(10\), 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: | \(4.08720396540\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 11.8 | ||
Character | \(\chi\) | \(=\) | 150.11 |
Dual form | 150.3.j.a.41.8 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.831254 | − | 1.14412i | −0.415627 | − | 0.572061i | ||||
\(3\) | 2.70308 | − | 1.30129i | 0.901026 | − | 0.433764i | ||||
\(4\) | −0.618034 | + | 1.90211i | −0.154508 | + | 0.475528i | ||||
\(5\) | 4.40886 | + | 2.35838i | 0.881771 | + | 0.471677i | ||||
\(6\) | −3.73578 | − | 2.01095i | −0.622631 | − | 0.335158i | ||||
\(7\) | 0.752203 | 0.107458 | 0.0537288 | − | 0.998556i | \(-0.482889\pi\) | ||||
0.0537288 | + | 0.998556i | \(0.482889\pi\) | |||||||
\(8\) | 2.68999 | − | 0.874032i | 0.336249 | − | 0.109254i | ||||
\(9\) | 5.61328 | − | 7.03499i | 0.623697 | − | 0.781666i | ||||
\(10\) | −0.966599 | − | 7.00469i | −0.0966599 | − | 0.700469i | ||||
\(11\) | 11.7601 | + | 16.1864i | 1.06910 | + | 1.47149i | 0.870983 | + | 0.491314i | \(0.163483\pi\) |
0.198119 | + | 0.980178i | \(0.436517\pi\) | |||||||
\(12\) | 0.804611 | + | 5.94581i | 0.0670509 | + | 0.495484i | ||||
\(13\) | −9.27202 | − | 6.73652i | −0.713232 | − | 0.518194i | 0.170982 | − | 0.985274i | \(-0.445306\pi\) |
−0.884215 | + | 0.467080i | \(0.845306\pi\) | |||||||
\(14\) | −0.625272 | − | 0.860613i | −0.0446623 | − | 0.0614724i | ||||
\(15\) | 14.9864 | + | 0.637686i | 0.999096 | + | 0.0425124i | ||||
\(16\) | −3.23607 | − | 2.35114i | −0.202254 | − | 0.146946i | ||||
\(17\) | 3.01795 | − | 0.980591i | 0.177526 | − | 0.0576818i | −0.218905 | − | 0.975746i | \(-0.570248\pi\) |
0.396431 | + | 0.918064i | \(0.370248\pi\) | |||||||
\(18\) | −12.7150 | − | 0.574411i | −0.706386 | − | 0.0319117i | ||||
\(19\) | −5.64746 | − | 17.3811i | −0.297235 | − | 0.914794i | −0.982462 | − | 0.186465i | \(-0.940297\pi\) |
0.685227 | − | 0.728330i | \(-0.259703\pi\) | |||||||
\(20\) | −7.21074 | + | 6.92858i | −0.360537 | + | 0.346429i | ||||
\(21\) | 2.03327 | − | 0.978836i | 0.0968221 | − | 0.0466113i | ||||
\(22\) | 8.74360 | − | 26.9100i | 0.397436 | − | 1.22318i | ||||
\(23\) | −17.5300 | − | 24.1279i | −0.762172 | − | 1.04904i | −0.997030 | − | 0.0770101i | \(-0.975463\pi\) |
0.234858 | − | 0.972030i | \(-0.424537\pi\) | |||||||
\(24\) | 6.13390 | − | 5.86305i | 0.255579 | − | 0.244294i | ||||
\(25\) | 13.8760 | + | 20.7956i | 0.555042 | + | 0.831822i | ||||
\(26\) | 16.2081i | 0.623388i | ||||||||
\(27\) | 6.01854 | − | 26.3207i | 0.222909 | − | 0.974839i | ||||
\(28\) | −0.464887 | + | 1.43078i | −0.0166031 | + | 0.0510991i | ||||
\(29\) | −3.71898 | − | 1.20837i | −0.128241 | − | 0.0416679i | 0.244194 | − | 0.969727i | \(-0.421477\pi\) |
−0.372434 | + | 0.928059i | \(0.621477\pi\) | |||||||
\(30\) | −11.7279 | − | 17.6764i | −0.390931 | − | 0.589214i | ||||
\(31\) | 1.01564 | + | 3.12583i | 0.0327627 | + | 0.100833i | 0.966101 | − | 0.258166i | \(-0.0831181\pi\) |
−0.933338 | + | 0.358999i | \(0.883118\pi\) | |||||||
\(32\) | 5.65685i | 0.176777i | ||||||||
\(33\) | 52.8518 | + | 28.4498i | 1.60157 | + | 0.862115i | ||||
\(34\) | −3.63060 | − | 2.63778i | −0.106782 | − | 0.0775819i | ||||
\(35\) | 3.31636 | + | 1.77398i | 0.0947531 | + | 0.0506853i | ||||
\(36\) | 9.91216 | + | 15.0249i | 0.275338 | + | 0.417360i | ||||
\(37\) | −1.94741 | − | 1.41488i | −0.0526327 | − | 0.0382399i | 0.561158 | − | 0.827709i | \(-0.310356\pi\) |
−0.613791 | + | 0.789469i | \(0.710356\pi\) | |||||||
\(38\) | −15.1916 | + | 20.9095i | −0.399780 | + | 0.550250i | ||||
\(39\) | −33.8292 | − | 6.14373i | −0.867415 | − | 0.157532i | ||||
\(40\) | 13.9211 | + | 2.49056i | 0.348028 | + | 0.0622639i | ||||
\(41\) | −43.8977 | + | 60.4200i | −1.07067 | + | 1.47366i | −0.201284 | + | 0.979533i | \(0.564511\pi\) |
−0.869391 | + | 0.494124i | \(0.835489\pi\) | |||||||
\(42\) | −2.81007 | − | 1.51264i | −0.0669064 | − | 0.0360153i | ||||
\(43\) | 2.99787 | 0.0697178 | 0.0348589 | − | 0.999392i | \(-0.488902\pi\) | ||||
0.0348589 | + | 0.999392i | \(0.488902\pi\) | |||||||
\(44\) | −38.0565 | + | 12.3653i | −0.864921 | + | 0.281030i | ||||
\(45\) | 41.3393 | − | 17.7780i | 0.918652 | − | 0.395067i | ||||
\(46\) | −13.0335 | + | 40.1128i | −0.283336 | + | 0.872018i | ||||
\(47\) | −31.9723 | − | 10.3884i | −0.680262 | − | 0.221031i | −0.0515522 | − | 0.998670i | \(-0.516417\pi\) |
−0.628710 | + | 0.777640i | \(0.716417\pi\) | |||||||
\(48\) | −11.8069 | − | 2.14425i | −0.245976 | − | 0.0446719i | ||||
\(49\) | −48.4342 | −0.988453 | ||||||||
\(50\) | 12.2582 | − | 33.1623i | 0.245163 | − | 0.663246i | ||||
\(51\) | 6.88172 | − | 6.57785i | 0.134936 | − | 0.128977i | ||||
\(52\) | 18.5440 | − | 13.4730i | 0.356616 | − | 0.259097i | ||||
\(53\) | 87.3362 | + | 28.3773i | 1.64785 | + | 0.535420i | 0.978273 | − | 0.207320i | \(-0.0664742\pi\) |
0.669580 | + | 0.742740i | \(0.266474\pi\) | |||||||
\(54\) | −35.1170 | + | 14.9932i | −0.650315 | + | 0.277652i | ||||
\(55\) | 13.6749 | + | 99.0985i | 0.248635 | + | 1.80179i | ||||
\(56\) | 2.02342 | − | 0.657450i | 0.0361325 | − | 0.0117402i | ||||
\(57\) | −37.8834 | − | 39.6335i | −0.664621 | − | 0.695324i | ||||
\(58\) | 1.70889 | + | 5.25943i | 0.0294637 | + | 0.0906798i | ||||
\(59\) | −32.7528 | + | 45.0804i | −0.555133 | + | 0.764075i | −0.990698 | − | 0.136083i | \(-0.956549\pi\) |
0.435565 | + | 0.900158i | \(0.356549\pi\) | |||||||
\(60\) | −10.4751 | + | 28.1118i | −0.174585 | + | 0.468530i | ||||
\(61\) | −36.0558 | + | 26.1961i | −0.591079 | + | 0.429444i | −0.842701 | − | 0.538382i | \(-0.819036\pi\) |
0.251622 | + | 0.967825i | \(0.419036\pi\) | |||||||
\(62\) | 2.73208 | − | 3.76038i | 0.0440657 | − | 0.0606513i | ||||
\(63\) | 4.22232 | − | 5.29175i | 0.0670210 | − | 0.0839960i | ||||
\(64\) | 6.47214 | − | 4.70228i | 0.101127 | − | 0.0734732i | ||||
\(65\) | −24.9917 | − | 51.5673i | −0.384488 | − | 0.793344i | ||||
\(66\) | −11.3832 | − | 84.1179i | −0.172472 | − | 1.27451i | ||||
\(67\) | 13.3565 | + | 41.1071i | 0.199351 | + | 0.613539i | 0.999898 | + | 0.0142691i | \(0.00454216\pi\) |
−0.800547 | + | 0.599269i | \(0.795458\pi\) | |||||||
\(68\) | 6.34652i | 0.0933311i | ||||||||
\(69\) | −78.7823 | − | 42.4081i | −1.14177 | − | 0.614610i | ||||
\(70\) | −0.727079 | − | 5.26895i | −0.0103868 | − | 0.0752707i | ||||
\(71\) | −20.8728 | − | 6.78200i | −0.293984 | − | 0.0955211i | 0.158312 | − | 0.987389i | \(-0.449395\pi\) |
−0.452296 | + | 0.891868i | \(0.649395\pi\) | |||||||
\(72\) | 8.95087 | − | 23.8303i | 0.124318 | − | 0.330976i | ||||
\(73\) | −77.5171 | + | 56.3195i | −1.06188 | + | 0.771500i | −0.974435 | − | 0.224670i | \(-0.927870\pi\) |
−0.0874434 | + | 0.996169i | \(0.527870\pi\) | |||||||
\(74\) | 3.40420i | 0.0460027i | ||||||||
\(75\) | 64.5692 | + | 38.1552i | 0.860922 | + | 0.508737i | ||||
\(76\) | 36.5511 | 0.480936 | ||||||||
\(77\) | 8.84600 | + | 12.1755i | 0.114883 | + | 0.158123i | ||||
\(78\) | 21.0915 | + | 43.8117i | 0.270403 | + | 0.561689i | ||||
\(79\) | 45.9792 | − | 141.510i | 0.582016 | − | 1.79126i | −0.0289228 | − | 0.999582i | \(-0.509208\pi\) |
0.610938 | − | 0.791678i | \(-0.290792\pi\) | |||||||
\(80\) | −8.72247 | − | 17.9977i | −0.109031 | − | 0.224972i | ||||
\(81\) | −17.9823 | − | 78.9787i | −0.222003 | − | 0.975046i | ||||
\(82\) | 105.618 | 1.28802 | ||||||||
\(83\) | −0.905452 | + | 0.294199i | −0.0109091 | + | 0.00354457i | −0.314466 | − | 0.949269i | \(-0.601826\pi\) |
0.303557 | + | 0.952813i | \(0.401826\pi\) | |||||||
\(84\) | 0.605231 | + | 4.47245i | 0.00720513 | + | 0.0532435i | ||||
\(85\) | 15.6183 | + | 2.79420i | 0.183745 | + | 0.0328729i | ||||
\(86\) | −2.49199 | − | 3.42993i | −0.0289766 | − | 0.0398829i | ||||
\(87\) | −11.6251 | + | 1.57316i | −0.133622 | + | 0.0180823i | ||||
\(88\) | 45.7821 | + | 33.2626i | 0.520251 | + | 0.377984i | ||||
\(89\) | 66.8879 | + | 92.0633i | 0.751550 | + | 1.03442i | 0.997870 | + | 0.0652310i | \(0.0207784\pi\) |
−0.246320 | + | 0.969188i | \(0.579222\pi\) | |||||||
\(90\) | −54.7037 | − | 32.5192i | −0.607819 | − | 0.361325i | ||||
\(91\) | −6.97444 | − | 5.06723i | −0.0766422 | − | 0.0556839i | ||||
\(92\) | 56.7281 | − | 18.4321i | 0.616610 | − | 0.200349i | ||||
\(93\) | 6.81299 | + | 7.12772i | 0.0732579 | + | 0.0766421i | ||||
\(94\) | 14.6915 | + | 45.2157i | 0.156292 | + | 0.481018i | ||||
\(95\) | 16.0925 | − | 89.9496i | 0.169394 | − | 0.946838i | ||||
\(96\) | 7.36122 | + | 15.2909i | 0.0766794 | + | 0.159280i | ||||
\(97\) | 30.9960 | − | 95.3960i | 0.319547 | − | 0.983463i | −0.654296 | − | 0.756239i | \(-0.727035\pi\) |
0.973842 | − | 0.227225i | \(-0.0729652\pi\) | |||||||
\(98\) | 40.2611 | + | 55.4147i | 0.410828 | + | 0.565456i | ||||
\(99\) | 179.884 | + | 8.12644i | 1.81701 | + | 0.0820853i | ||||
\(100\) | −48.1314 | + | 13.5414i | −0.481314 | + | 0.135414i | ||||
\(101\) | 21.9218i | 0.217048i | 0.994094 | + | 0.108524i | \(0.0346124\pi\) | ||||
−0.994094 | + | 0.108524i | \(0.965388\pi\) | |||||||
\(102\) | −13.2463 | − | 2.40567i | −0.129866 | − | 0.0235850i | ||||
\(103\) | 52.7894 | − | 162.469i | 0.512518 | − | 1.57737i | −0.275235 | − | 0.961377i | \(-0.588756\pi\) |
0.787753 | − | 0.615991i | \(-0.211244\pi\) | |||||||
\(104\) | −30.8296 | − | 10.0171i | −0.296439 | − | 0.0963187i | ||||
\(105\) | 11.2728 | + | 0.479670i | 0.107360 | + | 0.00456828i | ||||
\(106\) | −40.1315 | − | 123.512i | −0.378599 | − | 1.16521i | ||||
\(107\) | − | 203.480i | − | 1.90168i | −0.309675 | − | 0.950842i | \(-0.600220\pi\) | ||
0.309675 | − | 0.950842i | \(-0.399780\pi\) | |||||||
\(108\) | 46.3452 | + | 27.7150i | 0.429122 | + | 0.256620i | ||||
\(109\) | −105.622 | − | 76.7389i | −0.969010 | − | 0.704027i | −0.0137840 | − | 0.999905i | \(-0.504388\pi\) |
−0.955226 | + | 0.295878i | \(0.904388\pi\) | |||||||
\(110\) | 102.013 | − | 98.0217i | 0.927395 | − | 0.891107i | ||||
\(111\) | −7.10518 | − | 1.29037i | −0.0640106 | − | 0.0116250i | ||||
\(112\) | −2.43418 | − | 1.76854i | −0.0217338 | − | 0.0157905i | ||||
\(113\) | −41.5042 | + | 57.1256i | −0.367294 | + | 0.505537i | −0.952163 | − | 0.305591i | \(-0.901146\pi\) |
0.584869 | + | 0.811128i | \(0.301146\pi\) | |||||||
\(114\) | −13.8548 | + | 76.2888i | −0.121534 | + | 0.669200i | ||||
\(115\) | −20.3842 | − | 147.719i | −0.177254 | − | 1.28451i | ||||
\(116\) | 4.59691 | − | 6.32711i | 0.0396285 | − | 0.0545440i | ||||
\(117\) | −99.4378 | + | 27.4147i | −0.849895 | + | 0.234314i | ||||
\(118\) | 78.8035 | 0.667826 | ||||||||
\(119\) | 2.27011 | − | 0.737604i | 0.0190766 | − | 0.00619835i | ||||
\(120\) | 40.8708 | − | 11.3833i | 0.340590 | − | 0.0948605i | ||||
\(121\) | −86.3085 | + | 265.630i | −0.713294 | + | 2.19529i | ||||
\(122\) | 59.9430 | + | 19.4767i | 0.491336 | + | 0.159645i | ||||
\(123\) | −40.0348 | + | 220.444i | −0.325487 | + | 1.79222i | ||||
\(124\) | −6.57338 | −0.0530112 | ||||||||
\(125\) | 12.1336 | + | 124.410i | 0.0970688 | + | 0.995278i | ||||
\(126\) | −9.56423 | − | 0.432074i | −0.0759066 | − | 0.00342916i | ||||
\(127\) | −85.7685 | + | 62.3145i | −0.675343 | + | 0.490665i | −0.871809 | − | 0.489845i | \(-0.837053\pi\) |
0.196467 | + | 0.980510i | \(0.437053\pi\) | |||||||
\(128\) | −10.7600 | − | 3.49613i | −0.0840623 | − | 0.0273135i | ||||
\(129\) | 8.10347 | − | 3.90110i | 0.0628176 | − | 0.0302411i | ||||
\(130\) | −38.2249 | + | 71.4591i | −0.294038 | + | 0.549686i | ||||
\(131\) | 7.56254 | − | 2.45722i | 0.0577293 | − | 0.0187574i | −0.280010 | − | 0.959997i | \(-0.590338\pi\) |
0.337739 | + | 0.941240i | \(0.390338\pi\) | |||||||
\(132\) | −86.7789 | + | 82.9471i | −0.657416 | + | 0.628387i | ||||
\(133\) | −4.24804 | − | 13.0741i | −0.0319401 | − | 0.0983016i | ||||
\(134\) | 35.9289 | − | 49.4519i | 0.268126 | − | 0.369044i | ||||
\(135\) | 88.6091 | − | 101.850i | 0.656364 | − | 0.754444i | ||||
\(136\) | 7.26119 | − | 5.27557i | 0.0533911 | − | 0.0387909i | ||||
\(137\) | −22.9153 | + | 31.5401i | −0.167265 | + | 0.230220i | −0.884418 | − | 0.466695i | \(-0.845445\pi\) |
0.717154 | + | 0.696915i | \(0.245445\pi\) | |||||||
\(138\) | 16.9681 | + | 125.389i | 0.122957 | + | 0.908613i | ||||
\(139\) | −108.552 | + | 78.8674i | −0.780947 | + | 0.567392i | −0.905263 | − | 0.424851i | \(-0.860326\pi\) |
0.124316 | + | 0.992243i | \(0.460326\pi\) | |||||||
\(140\) | −5.42394 | + | 5.21170i | −0.0387424 | + | 0.0372265i | ||||
\(141\) | −99.9422 | + | 13.5246i | −0.708810 | + | 0.0959190i | ||||
\(142\) | 9.59119 | + | 29.5187i | 0.0675436 | + | 0.207878i | ||||
\(143\) | − | 229.303i | − | 1.60352i | ||||||
\(144\) | −34.7052 | + | 9.56812i | −0.241008 | + | 0.0664452i | ||||
\(145\) | −13.5466 | − | 14.0983i | −0.0934252 | − | 0.0972297i | ||||
\(146\) | 128.873 | + | 41.8733i | 0.882691 | + | 0.286804i | ||||
\(147\) | −130.921 | + | 63.0270i | −0.890622 | + | 0.428755i | ||||
\(148\) | 3.89482 | − | 2.82975i | 0.0263164 | − | 0.0191200i | ||||
\(149\) | 14.9337i | 0.100226i | 0.998744 | + | 0.0501132i | \(0.0159582\pi\) | ||||
−0.998744 | + | 0.0501132i | \(0.984042\pi\) | |||||||
\(150\) | −10.0191 | − | 105.592i | −0.0667939 | − | 0.703945i | ||||
\(151\) | 61.3357 | 0.406197 | 0.203098 | − | 0.979158i | \(-0.434899\pi\) | ||||
0.203098 | + | 0.979158i | \(0.434899\pi\) | |||||||
\(152\) | −30.3833 | − | 41.8190i | −0.199890 | − | 0.275125i | ||||
\(153\) | 10.0421 | − | 26.7356i | 0.0656348 | − | 0.174742i | ||||
\(154\) | 6.57696 | − | 20.2418i | 0.0427076 | − | 0.131440i | ||||
\(155\) | −2.89408 | + | 16.1766i | −0.0186715 | + | 0.104365i | ||||
\(156\) | 32.5937 | − | 60.5499i | 0.208934 | − | 0.388140i | ||||
\(157\) | 214.807 | 1.36820 | 0.684099 | − | 0.729389i | \(-0.260196\pi\) | ||||
0.684099 | + | 0.729389i | \(0.260196\pi\) | |||||||
\(158\) | −200.125 | + | 65.0245i | −1.26661 | + | 0.411547i | ||||
\(159\) | 273.004 | − | 36.9440i | 1.71700 | − | 0.232352i | ||||
\(160\) | −13.3410 | + | 24.9403i | −0.0833815 | + | 0.155877i | ||||
\(161\) | −13.1861 | − | 18.1491i | −0.0819012 | − | 0.112727i | ||||
\(162\) | −75.4135 | + | 86.2253i | −0.465516 | + | 0.532255i | ||||
\(163\) | 7.28745 | + | 5.29465i | 0.0447083 | + | 0.0324825i | 0.609915 | − | 0.792467i | \(-0.291204\pi\) |
−0.565207 | + | 0.824949i | \(0.691204\pi\) | |||||||
\(164\) | −87.7953 | − | 120.840i | −0.535337 | − | 0.736829i | ||||
\(165\) | 165.920 | + | 250.076i | 1.00558 | + | 1.51561i | ||||
\(166\) | 1.08926 | + | 0.791394i | 0.00656181 | + | 0.00476744i | ||||
\(167\) | −78.4303 | + | 25.4835i | −0.469642 | + | 0.152596i | −0.534271 | − | 0.845313i | \(-0.679414\pi\) |
0.0646284 | + | 0.997909i | \(0.479414\pi\) | |||||||
\(168\) | 4.61394 | − | 4.41020i | 0.0274639 | − | 0.0262512i | ||||
\(169\) | −11.6342 | − | 35.8063i | −0.0688412 | − | 0.211871i | ||||
\(170\) | −9.78588 | − | 20.1920i | −0.0575640 | − | 0.118776i | ||||
\(171\) | −153.977 | − | 57.8350i | −0.900448 | − | 0.338217i | ||||
\(172\) | −1.85278 | + | 5.70228i | −0.0107720 | + | 0.0331528i | ||||
\(173\) | −167.361 | − | 230.353i | −0.967407 | − | 1.33152i | −0.943346 | − | 0.331812i | \(-0.892340\pi\) |
−0.0240618 | − | 0.999710i | \(-0.507660\pi\) | |||||||
\(174\) | 11.4633 | + | 11.9929i | 0.0658812 | + | 0.0689246i | ||||
\(175\) | 10.4376 | + | 15.6425i | 0.0596435 | + | 0.0893856i | ||||
\(176\) | − | 80.0300i | − | 0.454716i | ||||||
\(177\) | −29.8707 | + | 164.477i | −0.168761 | + | 0.929249i | ||||
\(178\) | 49.7309 | − | 153.056i | 0.279387 | − | 0.859865i | ||||
\(179\) | 309.178 | + | 100.458i | 1.72725 | + | 0.561218i | 0.993048 | − | 0.117711i | \(-0.0375558\pi\) |
0.734204 | + | 0.678929i | \(0.237556\pi\) | |||||||
\(180\) | 8.26669 | + | 89.6195i | 0.0459261 | + | 0.497886i | ||||
\(181\) | 66.2284 | + | 203.830i | 0.365903 | + | 1.12613i | 0.949414 | + | 0.314028i | \(0.101679\pi\) |
−0.583511 | + | 0.812106i | \(0.698321\pi\) | |||||||
\(182\) | 12.1918i | 0.0669878i | ||||||||
\(183\) | −63.3729 | + | 117.729i | −0.346300 | + | 0.643329i | ||||
\(184\) | −68.2440 | − | 49.5822i | −0.370892 | − | 0.269468i | ||||
\(185\) | −5.24903 | − | 10.8307i | −0.0283732 | − | 0.0585445i | ||||
\(186\) | 2.49166 | − | 13.7198i | 0.0133960 | − | 0.0737626i | ||||
\(187\) | 51.3637 | + | 37.3179i | 0.274672 | + | 0.199561i | ||||
\(188\) | 39.5200 | − | 54.3946i | 0.210213 | − | 0.289333i | ||||
\(189\) | 4.52717 | − | 19.7985i | 0.0239533 | − | 0.104754i | ||||
\(190\) | −116.290 | + | 56.3592i | −0.612054 | + | 0.296628i | ||||
\(191\) | 28.1842 | − | 38.7922i | 0.147561 | − | 0.203100i | −0.728838 | − | 0.684686i | \(-0.759939\pi\) |
0.876399 | + | 0.481586i | \(0.159939\pi\) | |||||||
\(192\) | 11.3757 | − | 21.1328i | 0.0592482 | − | 0.110067i | ||||
\(193\) | −160.907 | −0.833716 | −0.416858 | − | 0.908972i | \(-0.636869\pi\) | ||||
−0.416858 | + | 0.908972i | \(0.636869\pi\) | |||||||
\(194\) | −134.910 | + | 43.8350i | −0.695414 | + | 0.225954i | ||||
\(195\) | −134.659 | − | 106.869i | −0.690558 | − | 0.548046i | ||||
\(196\) | 29.9340 | − | 92.1273i | 0.152724 | − | 0.470037i | ||||
\(197\) | −45.0160 | − | 14.6266i | −0.228508 | − | 0.0742466i | 0.192525 | − | 0.981292i | \(-0.438332\pi\) |
−0.421033 | + | 0.907045i | \(0.638332\pi\) | |||||||
\(198\) | −140.232 | − | 212.565i | −0.708241 | − | 1.07356i | ||||
\(199\) | 182.587 | 0.917524 | 0.458762 | − | 0.888559i | \(-0.348293\pi\) | ||||
0.458762 | + | 0.888559i | \(0.348293\pi\) | |||||||
\(200\) | 55.5025 | + | 43.8118i | 0.277512 | + | 0.219059i | ||||
\(201\) | 89.5960 | + | 93.7350i | 0.445751 | + | 0.466343i | ||||
\(202\) | 25.0813 | − | 18.2226i | 0.124165 | − | 0.0902109i | ||||
\(203\) | −2.79743 | − | 0.908940i | −0.0137804 | − | 0.00447753i | ||||
\(204\) | 8.25867 | + | 17.1551i | 0.0404837 | + | 0.0840938i | ||||
\(205\) | −336.032 | + | 162.855i | −1.63918 | + | 0.794417i | ||||
\(206\) | −229.766 | + | 74.6554i | −1.11537 | + | 0.362405i | ||||
\(207\) | −268.140 | − | 12.1135i | −1.29536 | − | 0.0585193i | ||||
\(208\) | 14.1664 | + | 43.5997i | 0.0681076 | + | 0.209614i | ||||
\(209\) | 214.923 | − | 295.816i | 1.02834 | − | 1.41539i | ||||
\(210\) | −8.82180 | − | 13.2963i | −0.0420086 | − | 0.0633155i | ||||
\(211\) | 251.828 | − | 182.964i | 1.19350 | − | 0.867127i | 0.199868 | − | 0.979823i | \(-0.435949\pi\) |
0.993630 | + | 0.112696i | \(0.0359485\pi\) | |||||||
\(212\) | −107.953 | + | 148.585i | −0.509215 | + | 0.700874i | ||||
\(213\) | −65.2463 | + | 8.82940i | −0.306321 | + | 0.0414526i | ||||
\(214\) | −232.806 | + | 169.144i | −1.08788 | + | 0.790391i | ||||
\(215\) | 13.2172 | + | 7.07012i | 0.0614752 | + | 0.0328843i | ||||
\(216\) | −6.81525 | − | 76.0628i | −0.0315521 | − | 0.352143i | ||||
\(217\) | 0.763971 | + | 2.35126i | 0.00352060 | + | 0.0108353i | ||||
\(218\) | 184.634i | 0.846946i | ||||||||
\(219\) | −136.247 | + | 253.108i | −0.622132 | + | 1.15575i | ||||
\(220\) | −196.948 | − | 35.2350i | −0.895218 | − | 0.160159i | ||||
\(221\) | −34.5882 | − | 11.2384i | −0.156508 | − | 0.0508525i | ||||
\(222\) | 4.42986 | + | 9.20182i | 0.0199543 | + | 0.0414496i | ||||
\(223\) | 92.5328 | − | 67.2290i | 0.414945 | − | 0.301475i | −0.360656 | − | 0.932699i | \(-0.617447\pi\) |
0.775601 | + | 0.631224i | \(0.217447\pi\) | |||||||
\(224\) | 4.25510i | 0.0189960i | ||||||||
\(225\) | 224.187 | + | 19.1133i | 0.996385 | + | 0.0849480i | ||||
\(226\) | 99.8593 | 0.441855 | ||||||||
\(227\) | 229.060 | + | 315.274i | 1.00907 | + | 1.38887i | 0.919589 | + | 0.392883i | \(0.128522\pi\) |
0.0894854 | + | 0.995988i | \(0.471478\pi\) | |||||||
\(228\) | 98.8006 | − | 47.5637i | 0.433336 | − | 0.208613i | ||||
\(229\) | −21.8302 | + | 67.1864i | −0.0953283 | + | 0.293390i | −0.987339 | − | 0.158624i | \(-0.949294\pi\) |
0.892011 | + | 0.452014i | \(0.149294\pi\) | |||||||
\(230\) | −152.064 | + | 146.114i | −0.661148 | + | 0.635278i | ||||
\(231\) | 39.7553 | + | 21.4000i | 0.172101 | + | 0.0926408i | ||||
\(232\) | −11.0602 | −0.0476732 | ||||||||
\(233\) | 243.992 | − | 79.2777i | 1.04717 | − | 0.340248i | 0.265616 | − | 0.964079i | \(-0.414425\pi\) |
0.781559 | + | 0.623831i | \(0.214425\pi\) | |||||||
\(234\) | 114.024 | + | 90.9805i | 0.487281 | + | 0.388805i | ||||
\(235\) | −116.462 | − | 121.204i | −0.495581 | − | 0.515763i | ||||
\(236\) | −65.5057 | − | 90.1609i | −0.277566 | − | 0.382038i | ||||
\(237\) | −59.8598 | − | 442.344i | −0.252573 | − | 1.86643i | ||||
\(238\) | −2.73095 | − | 1.98415i | −0.0114746 | − | 0.00833676i | ||||
\(239\) | −60.1102 | − | 82.7346i | −0.251507 | − | 0.346170i | 0.664531 | − | 0.747261i | \(-0.268631\pi\) |
−0.916038 | + | 0.401090i | \(0.868631\pi\) | |||||||
\(240\) | −46.9978 | − | 37.2988i | −0.195824 | − | 0.155412i | ||||
\(241\) | 260.610 | + | 189.345i | 1.08137 | + | 0.785662i | 0.977922 | − | 0.208973i | \(-0.0670119\pi\) |
0.103450 | + | 0.994635i | \(0.467012\pi\) | |||||||
\(242\) | 375.658 | − | 122.059i | 1.55231 | − | 0.504375i | ||||
\(243\) | −151.382 | − | 190.086i | −0.622971 | − | 0.782245i | ||||
\(244\) | −27.5442 | − | 84.7723i | −0.112886 | − | 0.347427i | ||||
\(245\) | −213.539 | − | 114.226i | −0.871590 | − | 0.466230i | ||||
\(246\) | 285.494 | − | 137.440i | 1.16054 | − | 0.558699i | ||||
\(247\) | −64.7247 | + | 199.202i | −0.262043 | + | 0.806486i | ||||
\(248\) | 5.46415 | + | 7.52076i | 0.0220329 | + | 0.0303256i | ||||
\(249\) | −2.06467 | + | 1.97350i | −0.00829185 | + | 0.00792571i | ||||
\(250\) | 132.254 | − | 117.298i | 0.529016 | − | 0.469194i | ||||
\(251\) | − | 222.314i | − | 0.885715i | −0.896592 | − | 0.442858i | \(-0.853965\pi\) | ||
0.896592 | − | 0.442858i | \(-0.146035\pi\) | |||||||
\(252\) | 7.45596 | + | 11.3018i | 0.0295871 | + | 0.0448485i | ||||
\(253\) | 184.390 | − | 567.494i | 0.728814 | − | 2.24306i | ||||
\(254\) | 142.591 | + | 46.3306i | 0.561381 | + | 0.182404i | ||||
\(255\) | 45.8536 | − | 12.7711i | 0.179818 | − | 0.0500826i | ||||
\(256\) | 4.94427 | + | 15.2169i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 290.173i | 1.12908i | 0.825406 | + | 0.564540i | \(0.190946\pi\) | ||||
−0.825406 | + | 0.564540i | \(0.809054\pi\) | |||||||
\(258\) | −11.1994 | − | 6.02856i | −0.0434085 | − | 0.0233665i | ||||
\(259\) | −1.46485 | − | 1.06428i | −0.00565579 | − | 0.00410917i | ||||
\(260\) | 113.533 | − | 15.6667i | 0.436664 | − | 0.0602566i | ||||
\(261\) | −29.3765 | + | 19.3801i | −0.112554 | + | 0.0742532i | ||||
\(262\) | −9.09775 | − | 6.60990i | −0.0347242 | − | 0.0252286i | ||||
\(263\) | −206.855 | + | 284.711i | −0.786521 | + | 1.08255i | 0.208012 | + | 0.978126i | \(0.433301\pi\) |
−0.994533 | + | 0.104426i | \(0.966699\pi\) | |||||||
\(264\) | 167.037 | + | 30.3356i | 0.632716 | + | 0.114908i | ||||
\(265\) | 318.128 | + | 331.084i | 1.20048 | + | 1.24937i | ||||
\(266\) | −11.4272 | + | 15.7282i | −0.0429594 | + | 0.0591285i | ||||
\(267\) | 300.605 | + | 161.814i | 1.12586 | + | 0.606044i | ||||
\(268\) | −86.4451 | −0.322556 | ||||||||
\(269\) | −112.802 | + | 36.6515i | −0.419337 | + | 0.136251i | −0.511083 | − | 0.859532i | \(-0.670755\pi\) |
0.0917456 | + | 0.995782i | \(0.470755\pi\) | |||||||
\(270\) | −190.186 | − | 16.7165i | −0.704391 | − | 0.0619130i | ||||
\(271\) | 58.9052 | − | 181.291i | 0.217362 | − | 0.668972i | −0.781615 | − | 0.623761i | \(-0.785604\pi\) |
0.998977 | − | 0.0452113i | \(-0.0143961\pi\) | |||||||
\(272\) | −12.0718 | − | 3.92236i | −0.0443816 | − | 0.0144205i | ||||
\(273\) | −25.4464 | − | 4.62133i | −0.0932104 | − | 0.0169280i | ||||
\(274\) | 55.1342 | 0.201220 | ||||||||
\(275\) | −173.422 | + | 469.162i | −0.630624 | + | 1.70604i | ||||
\(276\) | 129.355 | − | 123.643i | 0.468678 | − | 0.447983i | ||||
\(277\) | 114.412 | − | 83.1251i | 0.413039 | − | 0.300090i | −0.361792 | − | 0.932259i | \(-0.617835\pi\) |
0.774831 | + | 0.632168i | \(0.217835\pi\) | |||||||
\(278\) | 180.468 | + | 58.6376i | 0.649166 | + | 0.210927i | ||||
\(279\) | 27.6913 | + | 10.4011i | 0.0992519 | + | 0.0372799i | ||||
\(280\) | 10.4715 | + | 1.87340i | 0.0373982 | + | 0.00669073i | ||||
\(281\) | 374.636 | − | 121.727i | 1.33322 | − | 0.433191i | 0.446209 | − | 0.894929i | \(-0.352774\pi\) |
0.887016 | + | 0.461738i | \(0.152774\pi\) | |||||||
\(282\) | 98.5511 | + | 103.104i | 0.349472 | + | 0.365616i | ||||
\(283\) | −89.1598 | − | 274.406i | −0.315052 | − | 0.969631i | −0.975733 | − | 0.218964i | \(-0.929732\pi\) |
0.660681 | − | 0.750667i | \(-0.270268\pi\) | |||||||
\(284\) | 25.8003 | − | 35.5110i | 0.0908460 | − | 0.125039i | ||||
\(285\) | −73.5516 | − | 264.082i | −0.258076 | − | 0.926604i | ||||
\(286\) | −262.351 | + | 190.609i | −0.917310 | + | 0.666465i | ||||
\(287\) | −33.0200 | + | 45.4481i | −0.115052 | + | 0.158356i | ||||
\(288\) | 39.7959 | + | 31.7535i | 0.138180 | + | 0.110255i | ||||
\(289\) | −225.659 | + | 163.951i | −0.780829 | + | 0.567305i | ||||
\(290\) | −4.86949 | + | 27.2183i | −0.0167914 | + | 0.0938562i | ||||
\(291\) | −40.3533 | − | 298.198i | −0.138671 | − | 1.02473i | ||||
\(292\) | −59.2178 | − | 182.254i | −0.202801 | − | 0.624156i | ||||
\(293\) | − | 108.328i | − | 0.369722i | −0.982765 | − | 0.184861i | \(-0.940817\pi\) | ||
0.982765 | − | 0.184861i | \(-0.0591835\pi\) | |||||||
\(294\) | 180.940 | + | 97.3987i | 0.615441 | + | 0.331288i | ||||
\(295\) | −250.720 | + | 121.509i | −0.849897 | + | 0.411896i | ||||
\(296\) | −6.47517 | − | 2.10391i | −0.0218756 | − | 0.00710781i | ||||
\(297\) | 496.816 | − | 212.115i | 1.67278 | − | 0.714193i | ||||
\(298\) | 17.0860 | − | 12.4137i | 0.0573356 | − | 0.0416568i | ||||
\(299\) | 341.805i | 1.14316i | ||||||||
\(300\) | −112.482 | + | 99.2366i | −0.374938 | + | 0.330789i | ||||
\(301\) | 2.25501 | 0.00749171 | ||||||||
\(302\) | −50.9856 | − | 70.1756i | −0.168826 | − | 0.232370i | ||||
\(303\) | 28.5267 | + | 59.2564i | 0.0941476 | + | 0.195566i | ||||
\(304\) | −22.5898 | + | 69.5244i | −0.0743087 | + | 0.228699i | ||||
\(305\) | −220.745 | + | 30.4613i | −0.723755 | + | 0.0998732i | ||||
\(306\) | −38.9363 | + | 10.7346i | −0.127243 | + | 0.0350805i | ||||
\(307\) | 94.6401 | 0.308274 | 0.154137 | − | 0.988049i | \(-0.450740\pi\) | ||||
0.154137 | + | 0.988049i | \(0.450740\pi\) | |||||||
\(308\) | −28.6263 | + | 9.30123i | −0.0929424 | + | 0.0301988i | ||||
\(309\) | −68.7258 | − | 507.861i | −0.222414 | − | 1.64356i | ||||
\(310\) | 20.9138 | − | 10.1357i | 0.0674637 | − | 0.0326958i | ||||
\(311\) | −44.3227 | − | 61.0050i | −0.142517 | − | 0.196158i | 0.731791 | − | 0.681529i | \(-0.238685\pi\) |
−0.874308 | + | 0.485371i | \(0.838685\pi\) | |||||||
\(312\) | −96.3701 | + | 13.0412i | −0.308879 | + | 0.0417987i | ||||
\(313\) | 310.538 | + | 225.619i | 0.992134 | + | 0.720827i | 0.960387 | − | 0.278669i | \(-0.0898931\pi\) |
0.0317464 | + | 0.999496i | \(0.489893\pi\) | |||||||
\(314\) | −178.559 | − | 245.766i | −0.568660 | − | 0.782693i | ||||
\(315\) | 31.0956 | − | 13.3727i | 0.0987162 | − | 0.0424530i | ||||
\(316\) | 240.750 | + | 174.915i | 0.761868 | + | 0.553530i | ||||
\(317\) | 10.2227 | − | 3.32156i | 0.0322483 | − | 0.0104781i | −0.292848 | − | 0.956159i | \(-0.594603\pi\) |
0.325097 | + | 0.945681i | \(0.394603\pi\) | |||||||
\(318\) | −269.204 | − | 281.640i | −0.846553 | − | 0.885660i | ||||
\(319\) | −24.1765 | − | 74.4075i | −0.0757883 | − | 0.233252i | ||||
\(320\) | 39.6245 | − | 5.46791i | 0.123827 | − | 0.0170872i | ||||
\(321\) | −264.787 | − | 550.023i | −0.824883 | − | 1.71347i | ||||
\(322\) | −9.80381 | + | 30.1730i | −0.0304466 | + | 0.0937050i | ||||
\(323\) | −34.0875 | − | 46.9174i | −0.105534 | − | 0.145255i | ||||
\(324\) | 161.340 | + | 14.6072i | 0.497963 | + | 0.0450840i | ||||
\(325\) | 11.4306 | − | 286.293i | 0.0351712 | − | 0.880902i | ||||
\(326\) | − | 12.7389i | − | 0.0390765i | ||||||
\(327\) | −385.365 | − | 69.9862i | −1.17848 | − | 0.214025i | ||||
\(328\) | −65.2755 | + | 200.897i | −0.199011 | + | 0.612492i | ||||
\(329\) | −24.0497 | − | 7.81422i | −0.0730994 | − | 0.0237514i | ||||
\(330\) | 148.196 | − | 397.710i | 0.449078 | − | 1.20518i | ||||
\(331\) | 51.5253 | + | 158.579i | 0.155666 | + | 0.479090i | 0.998228 | − | 0.0595096i | \(-0.0189537\pi\) |
−0.842562 | + | 0.538599i | \(0.818954\pi\) | |||||||
\(332\) | − | 1.90410i | − | 0.00573523i | ||||||
\(333\) | −20.8850 | + | 5.75793i | −0.0627177 | + | 0.0172911i | ||||
\(334\) | 94.3518 | + | 68.5506i | 0.282490 | + | 0.205241i | ||||
\(335\) | −38.0594 | + | 212.735i | −0.113610 | + | 0.635030i | ||||
\(336\) | −8.88117 | − | 1.61291i | −0.0264320 | − | 0.00480033i | ||||
\(337\) | 51.4983 | + | 37.4157i | 0.152814 | + | 0.111026i | 0.661565 | − | 0.749888i | \(-0.269893\pi\) |
−0.508751 | + | 0.860914i | \(0.669893\pi\) | |||||||
\(338\) | −31.2958 | + | 43.0750i | −0.0925912 | + | 0.127441i | ||||
\(339\) | −37.8520 | + | 208.424i | −0.111658 | + | 0.614821i | ||||
\(340\) | −14.9675 | + | 27.9809i | −0.0440221 | + | 0.0822967i | ||||
\(341\) | −38.6519 | + | 53.1998i | −0.113349 | + | 0.156011i | ||||
\(342\) | 61.8233 | + | 224.244i | 0.180770 | + | 0.655684i | ||||
\(343\) | −73.2903 | −0.213674 | ||||||||
\(344\) | 8.06424 | − | 2.62023i | 0.0234426 | − | 0.00761695i | ||||
\(345\) | −247.326 | − | 372.770i | −0.716886 | − | 1.08049i | ||||
\(346\) | −124.433 | + | 382.964i | −0.359632 | + | 1.10683i | ||||
\(347\) | −310.622 | − | 100.927i | −0.895163 | − | 0.290856i | −0.174924 | − | 0.984582i | \(-0.555968\pi\) |
−0.720239 | + | 0.693726i | \(0.755968\pi\) | |||||||
\(348\) | 4.19240 | − | 23.0846i | 0.0120471 | − | 0.0663350i | ||||
\(349\) | 76.4536 | 0.219065 | 0.109532 | − | 0.993983i | \(-0.465065\pi\) | ||||
0.109532 | + | 0.993983i | \(0.465065\pi\) | |||||||
\(350\) | 9.22062 | − | 24.9448i | 0.0263446 | − | 0.0712708i | ||||
\(351\) | −233.114 | + | 203.502i | −0.664141 | + | 0.579777i | ||||
\(352\) | −91.5642 | + | 66.5253i | −0.260125 | + | 0.188992i | ||||
\(353\) | 329.367 | + | 107.018i | 0.933050 | + | 0.303166i | 0.735809 | − | 0.677189i | \(-0.236802\pi\) |
0.197241 | + | 0.980355i | \(0.436802\pi\) | |||||||
\(354\) | 213.012 | − | 102.546i | 0.601729 | − | 0.289679i | ||||
\(355\) | −76.0308 | − | 79.1271i | −0.214171 | − | 0.222893i | ||||
\(356\) | −216.454 | + | 70.3301i | −0.608016 | + | 0.197557i | ||||
\(357\) | 5.17645 | − | 4.94788i | 0.0144999 | − | 0.0138596i | ||||
\(358\) | −142.069 | − | 437.244i | −0.396841 | − | 1.22135i | ||||
\(359\) | −311.689 | + | 429.004i | −0.868216 | + | 1.19500i | 0.111332 | + | 0.993783i | \(0.464488\pi\) |
−0.979547 | + | 0.201213i | \(0.935512\pi\) | |||||||
\(360\) | 95.6640 | − | 83.9547i | 0.265733 | − | 0.233207i | ||||
\(361\) | 21.8465 | − | 15.8724i | 0.0605167 | − | 0.0439679i | ||||
\(362\) | 178.154 | − | 245.208i | 0.492138 | − | 0.677371i | ||||
\(363\) | 112.364 | + | 830.332i | 0.309543 | + | 2.28742i | ||||
\(364\) | 13.9489 | − | 10.1345i | 0.0383211 | − | 0.0278419i | ||||
\(365\) | −474.585 | + | 65.4894i | −1.30023 | + | 0.179423i | ||||
\(366\) | 187.376 | − | 25.3564i | 0.511955 | − | 0.0692799i | ||||
\(367\) | −113.433 | − | 349.112i | −0.309083 | − | 0.951258i | −0.978122 | − | 0.208031i | \(-0.933294\pi\) |
0.669040 | − | 0.743227i | \(-0.266706\pi\) | |||||||
\(368\) | 119.295i | 0.324171i | ||||||||
\(369\) | 178.644 | + | 647.974i | 0.484131 | + | 1.75603i | ||||
\(370\) | −8.02841 | + | 15.0086i | −0.0216984 | + | 0.0405639i | ||||
\(371\) | 65.6946 | + | 21.3455i | 0.177074 | + | 0.0575349i | ||||
\(372\) | −17.7684 | + | 8.55390i | −0.0477645 | + | 0.0229943i | ||||
\(373\) | −101.565 | + | 73.7912i | −0.272292 | + | 0.197832i | −0.715548 | − | 0.698563i | \(-0.753823\pi\) |
0.443256 | + | 0.896395i | \(0.353823\pi\) | |||||||
\(374\) | − | 89.7870i | − | 0.240072i | ||||||
\(375\) | 194.692 | + | 320.500i | 0.519177 | + | 0.854667i | ||||
\(376\) | −95.0852 | −0.252886 | ||||||||
\(377\) | 26.3422 | + | 36.2570i | 0.0698733 | + | 0.0961724i | ||||
\(378\) | −26.4151 | + | 11.2779i | −0.0698813 | + | 0.0298358i | ||||
\(379\) | 68.5820 | − | 211.074i | 0.180955 | − | 0.556923i | −0.818900 | − | 0.573936i | \(-0.805416\pi\) |
0.999855 | + | 0.0170132i | \(0.00541575\pi\) | |||||||
\(380\) | 161.149 | + | 86.2016i | 0.424076 | + | 0.226846i | ||||
\(381\) | −150.750 | + | 280.051i | −0.395669 | + | 0.735042i | ||||
\(382\) | −67.8112 | −0.177516 | ||||||||
\(383\) | −412.973 | + | 134.183i | −1.07826 | + | 0.350347i | −0.793698 | − | 0.608311i | \(-0.791847\pi\) |
−0.284559 | + | 0.958659i | \(0.591847\pi\) | |||||||
\(384\) | −33.6346 | + | 4.55156i | −0.0875900 | + | 0.0118530i | ||||
\(385\) | 10.2863 | + | 74.5422i | 0.0267177 | + | 0.193616i | ||||
\(386\) | 133.755 | + | 184.098i | 0.346515 | + | 0.476937i | ||||
\(387\) | 16.8279 | − | 21.0900i | 0.0434828 | − | 0.0544961i | ||||
\(388\) | 162.297 | + | 117.916i | 0.418292 | + | 0.303907i | ||||
\(389\) | −216.144 | − | 297.497i | −0.555640 | − | 0.764773i | 0.435124 | − | 0.900370i | \(-0.356704\pi\) |
−0.990764 | + | 0.135598i | \(0.956704\pi\) | |||||||
\(390\) | −10.3357 | + | 242.902i | −0.0265017 | + | 0.622824i | ||||
\(391\) | −76.5641 | − | 55.6271i | −0.195816 | − | 0.142269i | ||||
\(392\) | −130.288 | + | 42.3330i | −0.332367 | + | 0.107992i | ||||
\(393\) | 17.2446 | − | 16.4831i | 0.0438794 | − | 0.0419418i | ||||
\(394\) | 20.6851 | + | 63.6622i | 0.0525003 | + | 0.161579i | ||||
\(395\) | 536.450 | − | 515.459i | 1.35810 | − | 1.30496i | ||||
\(396\) | −126.632 | + | 337.137i | −0.319777 | + | 0.851357i | ||||
\(397\) | −110.392 | + | 339.753i | −0.278066 | + | 0.855800i | 0.710325 | + | 0.703873i | \(0.248548\pi\) |
−0.988392 | + | 0.151927i | \(0.951452\pi\) | |||||||
\(398\) | −151.776 | − | 208.902i | −0.381348 | − | 0.524880i | ||||
\(399\) | −28.4960 | − | 29.8124i | −0.0714186 | − | 0.0747179i | ||||
\(400\) | 3.98946 | − | 99.9204i | 0.00997364 | − | 0.249801i | ||||
\(401\) | 266.743i | 0.665193i | 0.943069 | + | 0.332597i | \(0.107925\pi\) | ||||
−0.943069 | + | 0.332597i | \(0.892075\pi\) | |||||||
\(402\) | 32.7673 | − | 180.426i | 0.0815107 | − | 0.448822i | ||||
\(403\) | 11.6401 | − | 35.8247i | 0.0288837 | − | 0.0888950i | ||||
\(404\) | −41.6978 | − | 13.5484i | −0.103212 | − | 0.0335357i | ||||
\(405\) | 106.981 | − | 390.615i | 0.264150 | − | 0.964482i | ||||
\(406\) | 1.28543 | + | 3.95616i | 0.00316610 | + | 0.00974424i | ||||
\(407\) | − | 48.1607i | − | 0.118331i | ||||||
\(408\) | 12.7625 | − | 23.7092i | 0.0312807 | − | 0.0581108i | ||||
\(409\) | −243.323 | − | 176.784i | −0.594921 | − | 0.432236i | 0.249151 | − | 0.968465i | \(-0.419848\pi\) |
−0.844073 | + | 0.536229i | \(0.819848\pi\) | |||||||
\(410\) | 465.655 | + | 249.088i | 1.13574 | + | 0.607531i | ||||
\(411\) | −20.8988 | + | 115.075i | −0.0508487 | + | 0.279988i | ||||
\(412\) | 276.409 | + | 200.823i | 0.670895 | + | 0.487434i | ||||
\(413\) | −24.6368 | + | 33.9096i | −0.0596533 | + | 0.0821057i | ||||
\(414\) | 209.033 | + | 316.855i | 0.504911 | + | 0.765350i | ||||
\(415\) | −4.68584 | − | 0.838322i | −0.0112912 | − | 0.00202005i | ||||
\(416\) | 38.1075 | − | 52.4505i | 0.0916046 | − | 0.126083i | ||||
\(417\) | −190.794 | + | 354.442i | −0.457540 | + | 0.849982i | ||||
\(418\) | −517.105 | −1.23709 | ||||||||
\(419\) | 70.5814 | − | 22.9333i | 0.168452 | − | 0.0547334i | −0.223577 | − | 0.974686i | \(-0.571773\pi\) |
0.392029 | + | 0.919953i | \(0.371773\pi\) | |||||||
\(420\) | −7.87939 | + | 21.1458i | −0.0187605 | + | 0.0503471i | ||||
\(421\) | 190.045 | − | 584.898i | 0.451413 | − | 1.38931i | −0.423883 | − | 0.905717i | \(-0.639333\pi\) |
0.875296 | − | 0.483588i | \(-0.160667\pi\) | |||||||
\(422\) | −418.666 | − | 136.033i | −0.992100 | − | 0.322353i | ||||
\(423\) | −252.552 | + | 166.612i | −0.597050 | + | 0.393882i | ||||
\(424\) | 259.736 | 0.612586 | ||||||||
\(425\) | 62.2691 | + | 49.1532i | 0.146516 | + | 0.115655i | ||||
\(426\) | 64.3382 | + | 67.3103i | 0.151029 | + | 0.158005i | ||||
\(427\) | −27.1213 | + | 19.7048i | −0.0635159 | + | 0.0461470i | ||||
\(428\) | 387.042 | + | 125.758i | 0.904305 | + | 0.293826i | ||||
\(429\) | −298.390 | − | 619.824i | −0.695548 | − | 1.44481i | ||||
\(430\) | −2.89773 | − | 20.9991i | −0.00673892 | − | 0.0488352i | ||||
\(431\) | 643.509 | − | 209.089i | 1.49306 | − | 0.485125i | 0.555075 | − | 0.831800i | \(-0.312690\pi\) |
0.937985 | + | 0.346676i | \(0.112690\pi\) | |||||||
\(432\) | −81.3600 | + | 71.0250i | −0.188333 | + | 0.164410i | ||||
\(433\) | 112.477 | + | 346.169i | 0.259762 | + | 0.799467i | 0.992854 | + | 0.119337i | \(0.0380768\pi\) |
−0.733091 | + | 0.680130i | \(0.761923\pi\) | |||||||
\(434\) | 2.05508 | − | 2.82857i | 0.00473520 | − | 0.00651744i | ||||
\(435\) | −54.9637 | − | 20.4807i | −0.126353 | − | 0.0470821i | ||||
\(436\) | 211.244 | − | 153.478i | 0.484505 | − | 0.352013i | ||||
\(437\) | −320.370 | + | 440.951i | −0.733112 | + | 1.00904i | ||||
\(438\) | 402.843 | − | 54.5143i | 0.919733 | − | 0.124462i | ||||
\(439\) | 76.4266 | − | 55.5271i | 0.174092 | − | 0.126486i | −0.497327 | − | 0.867563i | \(-0.665685\pi\) |
0.671419 | + | 0.741078i | \(0.265685\pi\) | |||||||
\(440\) | 123.401 | + | 254.622i | 0.280456 | + | 0.578686i | ||||
\(441\) | −271.874 | + | 340.734i | −0.616495 | + | 0.772640i | ||||
\(442\) | 15.8935 | + | 48.9152i | 0.0359581 | + | 0.110668i | ||||
\(443\) | − | 482.788i | − | 1.08982i | −0.838496 | − | 0.544908i | \(-0.816565\pi\) | ||
0.838496 | − | 0.544908i | \(-0.183435\pi\) | |||||||
\(444\) | 6.84568 | − | 12.7174i | 0.0154182 | − | 0.0286427i | ||||
\(445\) | 77.7786 | + | 563.642i | 0.174783 | + | 1.26661i | ||||
\(446\) | −153.836 | − | 49.9845i | −0.344925 | − | 0.112073i | ||||
\(447\) | 19.4332 | + | 40.3671i | 0.0434746 | + | 0.0903066i | ||||
\(448\) | 4.86836 | − | 3.53707i | 0.0108669 | − | 0.00789525i | ||||
\(449\) | − | 398.494i | − | 0.887514i | −0.896147 | − | 0.443757i | \(-0.853645\pi\) | ||
0.896147 | − | 0.443757i | \(-0.146355\pi\) | |||||||
\(450\) | −164.488 | − | 272.385i | −0.365529 | − | 0.605300i | ||||
\(451\) | −1494.22 | −3.31314 | ||||||||
\(452\) | −83.0084 | − | 114.251i | −0.183647 | − | 0.252768i | ||||
\(453\) | 165.795 | − | 79.8157i | 0.365994 | − | 0.176194i | ||||
\(454\) | 170.305 | − | 524.145i | 0.375121 | − | 1.15450i | ||||
\(455\) | −18.7989 | − | 38.7891i | −0.0413162 | − | 0.0852508i | ||||
\(456\) | −136.547 | − | 73.5025i | −0.299445 | − | 0.161190i | ||||
\(457\) | 430.799 | 0.942667 | 0.471333 | − | 0.881955i | \(-0.343773\pi\) | ||||
0.471333 | + | 0.881955i | \(0.343773\pi\) | |||||||
\(458\) | 95.0159 | − | 30.8725i | 0.207458 | − | 0.0674073i | ||||
\(459\) | −7.64614 | − | 85.3361i | −0.0166583 | − | 0.185917i | ||||
\(460\) | 293.576 | + | 52.5223i | 0.638209 | + | 0.114179i | ||||
\(461\) | −275.244 | − | 378.840i | −0.597058 | − | 0.821779i | 0.398377 | − | 0.917222i | \(-0.369573\pi\) |
−0.995435 | + | 0.0954422i | \(0.969573\pi\) | |||||||
\(462\) | −8.56247 | − | 63.2738i | −0.0185335 | − | 0.136956i | ||||
\(463\) | 538.878 | + | 391.518i | 1.16388 | + | 0.845611i | 0.990264 | − | 0.139201i | \(-0.0444535\pi\) |
0.173620 | + | 0.984813i | \(0.444453\pi\) | |||||||
\(464\) | 9.19382 | + | 12.6542i | 0.0198143 | + | 0.0272720i | ||||
\(465\) | 13.2276 | + | 47.4927i | 0.0284464 | + | 0.102135i | ||||
\(466\) | −293.523 | − | 213.257i | −0.629877 | − | 0.457632i | ||||
\(467\) | −366.576 | + | 119.108i | −0.784959 | + | 0.255049i | −0.673956 | − | 0.738771i | \(-0.735406\pi\) |
−0.111003 | + | 0.993820i | \(0.535406\pi\) | |||||||
\(468\) | 9.31010 | − | 206.085i | 0.0198934 | − | 0.440353i | ||||
\(469\) | 10.0468 | + | 30.9209i | 0.0214218 | + | 0.0659294i | ||||
\(470\) | −41.8634 | + | 233.998i | −0.0890711 | + | 0.497868i | ||||
\(471\) | 580.641 | − | 279.527i | 1.23278 | − | 0.593475i | ||||
\(472\) | −48.7032 | + | 149.893i | −0.103185 | + | 0.317570i | ||||
\(473\) | 35.2553 | + | 48.5247i | 0.0745354 | + | 0.102589i | ||||
\(474\) | −456.337 | + | 436.187i | −0.962736 | + | 0.920226i | ||||
\(475\) | 283.085 | − | 358.623i | 0.595969 | − | 0.754996i | ||||
\(476\) | 4.77387i | 0.0100291i | ||||||||
\(477\) | 689.876 | − | 455.120i | 1.44628 | − | 0.954131i | ||||
\(478\) | −44.6917 | + | 137.547i | −0.0934973 | + | 0.287755i | ||||
\(479\) | 589.724 | + | 191.613i | 1.23116 | + | 0.400027i | 0.851133 | − | 0.524949i | \(-0.175916\pi\) |
0.380024 | + | 0.924977i | \(0.375916\pi\) | |||||||
\(480\) | −3.60730 | + | 84.7761i | −0.00751520 | + | 0.176617i | ||||
\(481\) | 8.52509 | + | 26.2375i | 0.0177237 | + | 0.0545479i | ||||
\(482\) | − | 455.564i | − | 0.945153i | ||||||
\(483\) | −59.2603 | − | 31.8995i | −0.122692 | − | 0.0660445i | ||||
\(484\) | −451.917 | − | 328.337i | −0.933713 | − | 0.678383i | ||||
\(485\) | 361.637 | − | 347.487i | 0.745644 | − | 0.716467i | ||||
\(486\) | −91.6444 | + | 331.209i | −0.188569 | + | 0.681500i | ||||
\(487\) | −113.087 | − | 82.1625i | −0.232212 | − | 0.168712i | 0.465595 | − | 0.884998i | \(-0.345840\pi\) |
−0.697806 | + | 0.716286i | \(0.745840\pi\) | |||||||
\(488\) | −74.0937 | + | 101.981i | −0.151831 | + | 0.208978i | ||||
\(489\) | 26.5884 | + | 4.82874i | 0.0543731 | + | 0.00987472i | ||||
\(490\) | 46.8164 | + | 339.267i | 0.0955437 | + | 0.692381i | ||||
\(491\) | 38.8922 | − | 53.5305i | 0.0792102 | − | 0.109023i | −0.767573 | − | 0.640961i | \(-0.778536\pi\) |
0.846784 | + | 0.531938i | \(0.178536\pi\) | |||||||
\(492\) | −394.566 | − | 212.392i | −0.801963 | − | 0.431692i | ||||
\(493\) | −12.4086 | −0.0251696 | ||||||||
\(494\) | 281.714 | − | 91.5345i | 0.570272 | − | 0.185293i | ||||
\(495\) | 773.918 | + | 460.064i | 1.56347 | + | 0.929422i | ||||
\(496\) | 4.06258 | − | 12.5033i | 0.00819068 | − | 0.0252083i | ||||
\(497\) | −15.7006 | − | 5.10144i | −0.0315908 | − | 0.0102645i | ||||
\(498\) | 3.97419 | + | 0.721755i | 0.00798031 | + | 0.00144931i | ||||
\(499\) | 273.164 | 0.547424 | 0.273712 | − | 0.961812i | \(-0.411749\pi\) | ||||
0.273712 | + | 0.961812i | \(0.411749\pi\) | |||||||
\(500\) | −244.140 | − | 53.8100i | −0.488281 | − | 0.107620i | ||||
\(501\) | −178.842 | + | 170.945i | −0.356970 | + | 0.341207i | ||||
\(502\) | −254.355 | + | 184.800i | −0.506683 | + | 0.368127i | ||||
\(503\) | 486.410 | + | 158.044i | 0.967017 | + | 0.314203i | 0.749611 | − | 0.661878i | \(-0.230240\pi\) |
0.217406 | + | 0.976081i | \(0.430240\pi\) | |||||||
\(504\) | 6.73287 | − | 17.9252i | 0.0133589 | − | 0.0355659i | ||||
\(505\) | −51.7001 | + | 96.6502i | −0.102376 | + | 0.191387i | ||||
\(506\) | −802.558 | + | 260.767i | −1.58608 | + | 0.515350i | ||||
\(507\) | −78.0425 | − | 81.6478i | −0.153930 | − | 0.161041i | ||||
\(508\) | −65.5213 | − | 201.654i | −0.128979 | − | 0.396956i | ||||
\(509\) | −320.208 | + | 440.729i | −0.629093 | + | 0.865873i | −0.997975 | − | 0.0636036i | \(-0.979741\pi\) |
0.368882 | + | 0.929476i | \(0.379741\pi\) | |||||||
\(510\) | −52.7276 | − | 41.8462i | −0.103388 | − | 0.0820513i | ||||
\(511\) | −58.3086 | + | 42.3637i | −0.114107 | + | 0.0829035i | ||||
\(512\) | 13.3001 | − | 18.3060i | 0.0259767 | − | 0.0357538i | ||||
\(513\) | −491.471 | + | 44.0360i | −0.958034 | + | 0.0858401i | ||||
\(514\) | 331.994 | − | 241.208i | 0.645903 | − | 0.469276i | ||||
\(515\) | 615.905 | − | 591.805i | 1.19593 | − | 1.14914i | ||||
\(516\) | 2.41212 | + | 17.8247i | 0.00467464 | + | 0.0345441i | ||||
\(517\) | −207.847 | − | 639.687i | −0.402025 | − | 1.23730i | ||||
\(518\) | 2.56065i | 0.00494334i | ||||||||
\(519\) | −752.148 | − | 404.877i | −1.44923 | − | 0.780110i | ||||
\(520\) | −112.299 | − | 116.872i | −0.215960 | − | 0.224754i | ||||
\(521\) | 678.993 | + | 220.618i | 1.30325 | + | 0.423452i | 0.876711 | − | 0.481017i | \(-0.159733\pi\) |
0.426539 | + | 0.904469i | \(0.359733\pi\) | |||||||
\(522\) | 46.5925 | + | 17.5006i | 0.0892578 | + | 0.0335260i | ||||
\(523\) | −414.226 | + | 300.953i | −0.792019 | + | 0.575436i | −0.908562 | − | 0.417750i | \(-0.862819\pi\) |
0.116543 | + | 0.993186i | \(0.462819\pi\) | |||||||
\(524\) | 15.9035i | 0.0303501i | ||||||||
\(525\) | 48.5691 | + | 28.7005i | 0.0925126 | + | 0.0546676i | ||||
\(526\) | 497.694 | 0.946186 | ||||||||
\(527\) | 6.13032 | + | 8.43766i | 0.0116325 | + | 0.0160107i | ||||
\(528\) | −104.142 | − | 216.327i | −0.197240 | − | 0.409711i | ||||
\(529\) | −111.387 | + | 342.814i | −0.210561 | + | 0.648041i | ||||
\(530\) | 114.355 | − | 639.192i | 0.215764 | − | 1.20602i | ||||
\(531\) | 133.290 | + | 483.465i | 0.251017 | + | 0.910480i | ||||
\(532\) | 27.4939 | 0.0516802 | ||||||||
\(533\) | 814.040 | − | 264.498i | 1.52728 | − | 0.496243i | ||||
\(534\) | −64.7440 | − | 478.437i | −0.121244 | − | 0.895949i | ||||
\(535\) | 479.885 | − | 897.115i | 0.896981 | − | 1.67685i | ||||
\(536\) | 71.8578 | + | 98.9038i | 0.134063 | + | 0.184522i | ||||
\(537\) | 966.458 | − | 130.785i | 1.79974 | − | 0.243548i | ||||
\(538\) | 135.701 | + | 98.5922i | 0.252232 | + | 0.183257i | ||||
\(539\) | −569.592 | − | 783.976i | −1.05676 | − | 1.45450i | ||||
\(540\) | 138.967 | + | 231.491i | 0.257346 | + | 0.428688i | ||||
\(541\) | 424.224 | + | 308.217i | 0.784148 | + | 0.569717i | 0.906221 | − | 0.422804i | \(-0.138954\pi\) |
−0.122073 | + | 0.992521i | \(0.538954\pi\) | |||||||
\(542\) | −256.385 | + | 83.3045i | −0.473035 | + | 0.153698i | ||||
\(543\) | 444.263 | + | 464.787i | 0.818165 | + | 0.855961i | ||||
\(544\) | 5.54706 | + | 17.0721i | 0.0101968 | + | 0.0313825i | ||||
\(545\) | −284.693 | − | 587.428i | −0.522372 | − | 1.07785i | ||||
\(546\) | 15.8651 | + | 32.9553i | 0.0290569 | + | 0.0603578i | ||||
\(547\) | 148.726 | − | 457.732i | 0.271894 | − | 0.836805i | −0.718130 | − | 0.695909i | \(-0.755002\pi\) |
0.990024 | − | 0.140896i | \(-0.0449983\pi\) | |||||||
\(548\) | −45.8305 | − | 63.0803i | −0.0836323 | − | 0.115110i | ||||
\(549\) | −18.1019 | + | 400.698i | −0.0329726 | + | 0.729869i | ||||
\(550\) | 680.936 | − | 191.577i | 1.23807 | − | 0.348322i | ||||
\(551\) | 71.4641i | 0.129699i | ||||||||
\(552\) | −248.990 | − | 45.2192i | −0.451069 | − | 0.0819188i | ||||
\(553\) | 34.5857 | − | 106.444i | 0.0625420 | − | 0.192484i | ||||
\(554\) | −190.211 | − | 61.8032i | −0.343340 | − | 0.111558i | ||||
\(555\) | −28.2825 | − | 22.4458i | −0.0509595 | − | 0.0404429i | ||||
\(556\) | −82.9261 | − | 255.220i | −0.149148 | − | 0.459029i | ||||
\(557\) | − | 411.982i | − | 0.739645i | −0.929102 | − | 0.369823i | \(-0.879418\pi\) | ||
0.929102 | − | 0.369823i | \(-0.120582\pi\) | |||||||
\(558\) | −11.1184 | − | 40.3282i | −0.0199254 | − | 0.0722727i | ||||
\(559\) | −27.7963 | − | 20.1952i | −0.0497250 | − | 0.0361273i | ||||
\(560\) | −6.56107 | − | 13.5380i | −0.0117162 | − | 0.0241749i | ||||
\(561\) | 187.402 | + | 34.0341i | 0.334049 | + | 0.0606668i | ||||
\(562\) | −450.688 | − | 327.444i | −0.801936 | − | 0.582641i | ||||
\(563\) | −184.067 | + | 253.346i | −0.326940 | + | 0.449994i | −0.940570 | − | 0.339600i | \(-0.889708\pi\) |
0.613631 | + | 0.789593i | \(0.289708\pi\) | |||||||
\(564\) | 36.0424 | − | 198.460i | 0.0639049 | − | 0.351879i | ||||
\(565\) | −317.710 | + | 153.976i | −0.562319 | + | 0.272524i | ||||
\(566\) | −239.839 | + | 330.110i | −0.423744 | + | 0.583234i | ||||
\(567\) | −13.5263 | − | 59.4080i | −0.0238560 | − | 0.104776i | ||||
\(568\) | −62.0755 | −0.109288 | ||||||||
\(569\) | 358.804 | − | 116.583i | 0.630588 | − | 0.204890i | 0.0237523 | − | 0.999718i | \(-0.492439\pi\) |
0.606835 | + | 0.794828i | \(0.292439\pi\) | |||||||
\(570\) | −241.002 | + | 303.671i | −0.422811 | + | 0.532757i | ||||
\(571\) | −119.953 | + | 369.178i | −0.210076 | + | 0.646547i | 0.789391 | + | 0.613891i | \(0.210397\pi\) |
−0.999467 | + | 0.0326559i | \(0.989603\pi\) | |||||||
\(572\) | 436.160 | + | 141.717i | 0.762518 | + | 0.247757i | ||||
\(573\) | 25.7041 | − | 141.534i | 0.0448588 | − | 0.247006i | ||||
\(574\) | 79.4462 | 0.138408 | ||||||||
\(575\) | 258.507 | − | 699.345i | 0.449577 | − | 1.21625i | ||||
\(576\) | 3.24936 | − | 71.9266i | 0.00564125 | − | 0.124873i | ||||
\(577\) | 183.395 | − | 133.245i | 0.317843 | − | 0.230926i | −0.417412 | − | 0.908718i | \(-0.637063\pi\) |
0.735255 | + | 0.677791i | \(0.237063\pi\) | |||||||
\(578\) | 375.161 | + | 121.897i | 0.649067 | + | 0.210895i | ||||
\(579\) | −434.945 | + | 209.387i | −0.751200 | + | 0.361636i | ||||
\(580\) | 35.1889 | − | 17.0540i | 0.0606705 | − | 0.0294035i | ||||
\(581\) | −0.681084 | + | 0.221298i | −0.00117226 | + | 0.000380891i | ||||
\(582\) | −307.631 | + | 294.047i | −0.528576 | + | 0.505236i | ||||
\(583\) | 567.758 | + | 1747.38i | 0.973856 | + | 2.99722i | ||||
\(584\) | −159.296 | + | 219.252i | −0.272766 | + | 0.375431i | ||||
\(585\) | −503.061 | − | 113.645i | −0.859934 | − | 0.194265i | ||||
\(586\) | −123.941 | + | 90.0485i | −0.211504 | + | 0.153666i | ||||
\(587\) | 110.841 | − | 152.560i | 0.188826 | − | 0.259897i | −0.704099 | − | 0.710102i | \(-0.748649\pi\) |
0.892925 | + | 0.450204i | \(0.148649\pi\) | |||||||
\(588\) | −38.9707 | − | 287.980i | −0.0662766 | − | 0.489762i | ||||
\(589\) | 48.5945 | − | 35.3060i | 0.0825035 | − | 0.0599423i | ||||
\(590\) | 347.433 | + | 185.849i | 0.588870 | + | 0.314998i | ||||
\(591\) | −140.715 | + | 19.0422i | −0.238097 | + | 0.0322203i | ||||
\(592\) | 2.97538 | + | 9.15728i | 0.00502598 | + | 0.0154684i | ||||
\(593\) | 109.363i | 0.184424i | 0.995739 | + | 0.0922120i | \(0.0293937\pi\) | ||||
−0.995739 | + | 0.0922120i | \(0.970606\pi\) | |||||||
\(594\) | −655.666 | − | 392.097i | −1.10382 | − | 0.660095i | ||||
\(595\) | 11.7481 | + | 2.10180i | 0.0197448 | + | 0.00353244i | ||||
\(596\) | −28.4056 | − | 9.22955i | −0.0476605 | − | 0.0154858i | ||||
\(597\) | 493.548 | − | 237.600i | 0.826714 | − | 0.397989i | ||||
\(598\) | 391.067 | − | 284.127i | 0.653959 | − | 0.475129i | ||||
\(599\) | 1155.98i | 1.92985i | 0.262534 | + | 0.964923i | \(0.415442\pi\) | ||||
−0.262534 | + | 0.964923i | \(0.584558\pi\) | |||||||
\(600\) | 207.040 | + | 46.2019i | 0.345066 | + | 0.0770031i | ||||
\(601\) | −446.125 | −0.742304 | −0.371152 | − | 0.928572i | \(-0.621037\pi\) | ||||
−0.371152 | + | 0.928572i | \(0.621037\pi\) | |||||||
\(602\) | −1.87448 | − | 2.58000i | −0.00311376 | − | 0.00428572i | ||||
\(603\) | 364.162 | + | 136.782i | 0.603917 | + | 0.226837i | ||||
\(604\) | −37.9076 | + | 116.668i | −0.0627609 | + | 0.193158i | ||||
\(605\) | −1006.98 | + | 967.578i | −1.66443 | + | 1.59930i | ||||
\(606\) | 44.0837 | − | 81.8952i | 0.0727454 | − | 0.135141i | ||||
\(607\) | −37.3743 | −0.0615721 | −0.0307861 | − | 0.999526i | \(-0.509801\pi\) | ||||
−0.0307861 | + | 0.999526i | \(0.509801\pi\) | |||||||
\(608\) | 98.3223 | − | 31.9469i | 0.161714 | − | 0.0525442i | ||||
\(609\) | −8.74447 | + | 1.18334i | −0.0143587 | + | 0.00194308i | ||||
\(610\) | 218.347 | + | 227.239i | 0.357946 | + | 0.372522i | ||||
\(611\) | 226.466 | + | 311.704i | 0.370649 | + | 0.510154i | ||||
\(612\) | 44.6477 | + | 35.6247i | 0.0729538 | + | 0.0582104i | ||||
\(613\) | −561.306 | − | 407.812i | −0.915670 | − | 0.665273i | 0.0267726 | − | 0.999642i | \(-0.491477\pi\) |
−0.942442 | + | 0.334369i | \(0.891477\pi\) | |||||||
\(614\) | −78.6700 | − | 108.280i | −0.128127 | − | 0.176352i | ||||
\(615\) | −696.399 | + | 877.487i | −1.13236 | + | 1.42681i | ||||
\(616\) | 34.4374 | + | 25.0203i | 0.0559049 | + | 0.0406173i | ||||
\(617\) | 748.237 | − | 243.117i | 1.21270 | − | 0.394031i | 0.368283 | − | 0.929714i | \(-0.379946\pi\) |
0.844419 | + | 0.535683i | \(0.179946\pi\) | |||||||
\(618\) | −523.927 | + | 500.792i | −0.847778 | + | 0.810343i | ||||
\(619\) | 355.597 | + | 1094.42i | 0.574470 | + | 1.76804i | 0.637975 | + | 0.770057i | \(0.279772\pi\) |
−0.0635050 | + | 0.997982i | \(0.520228\pi\) | |||||||
\(620\) | −28.9811 | − | 15.5026i | −0.0467437 | − | 0.0250041i | ||||
\(621\) | −740.567 | + | 316.185i | −1.19254 | + | 0.509155i | ||||
\(622\) | −32.9538 | + | 101.421i | −0.0529804 | + | 0.163057i | ||||
\(623\) | 50.3133 | + | 69.2503i | 0.0807597 | + | 0.111156i | ||||
\(624\) | 95.0288 | + | 99.4187i | 0.152290 | + | 0.159325i | ||||
\(625\) | −239.911 | + | 577.120i | −0.383857 | + | 0.923393i | ||||
\(626\) | − | 542.840i | − | 0.867157i | ||||||
\(627\) | 196.010 | − | 1079.29i | 0.312616 | − | 1.72136i | ||||
\(628\) | −132.758 | + | 408.587i | −0.211398 | + | 0.650617i | ||||
\(629\) | −7.26460 | − | 2.36041i | −0.0115494 | − | 0.00375264i | ||||
\(630\) | −41.1483 | − | 24.4611i | −0.0653148 | − | 0.0388271i | ||||
\(631\) | −239.405 | − | 736.813i | −0.379406 | − | 1.16769i | −0.940458 | − | 0.339910i | \(-0.889603\pi\) |
0.561052 | − | 0.827780i | \(-0.310397\pi\) | |||||||
\(632\) | − | 420.847i | − | 0.665897i | ||||||
\(633\) | 442.622 | − | 822.268i | 0.699245 | − | 1.29900i | ||||
\(634\) | −12.2980 | − | 8.93499i | −0.0193974 | − | 0.0140930i | ||||
\(635\) | −525.103 | + | 72.4605i | −0.826933 | + | 0.114111i | ||||
\(636\) | −98.4540 | + | 542.117i | −0.154802 | + | 0.852385i | ||||
\(637\) | 449.083 | + | 326.278i | 0.704997 | + | 0.512210i | ||||
\(638\) | −65.0345 | + | 89.5124i | −0.101935 | + | 0.140301i | ||||
\(639\) | −164.876 | + | 108.771i | −0.258022 | + | 0.170221i | ||||
\(640\) | −39.1940 | − | 40.7901i | −0.0612406 | − | 0.0637345i | ||||
\(641\) | 368.011 | − | 506.523i | 0.574120 | − | 0.790208i | −0.418916 | − | 0.908025i | \(-0.637590\pi\) |
0.993035 | + | 0.117817i | \(0.0375897\pi\) | |||||||
\(642\) | −409.189 | + | 760.158i | −0.637366 | + | 1.18405i | ||||
\(643\) | −871.436 | −1.35527 | −0.677633 | − | 0.735400i | \(-0.736994\pi\) | ||||
−0.677633 | + | 0.735400i | \(0.736994\pi\) | |||||||
\(644\) | 42.6711 | − | 13.8647i | 0.0662594 | − | 0.0215290i | ||||
\(645\) | 44.9273 | + | 1.91170i | 0.0696548 | + | 0.00296387i | ||||
\(646\) | −25.3439 | + | 78.0005i | −0.0392321 | + | 0.120744i | ||||
\(647\) | 182.222 | + | 59.2075i | 0.281641 | + | 0.0915108i | 0.446431 | − | 0.894818i | \(-0.352695\pi\) |
−0.164790 | + | 0.986329i | \(0.552695\pi\) | |||||||
\(648\) | −117.402 | − | 196.735i | −0.181176 | − | 0.303604i | ||||
\(649\) | −1114.87 | −1.71782 | ||||||||
\(650\) | −337.056 | + | 224.904i | −0.518548 | + | 0.346006i | ||||
\(651\) | 5.12475 | + | 5.36149i | 0.00787212 | + | 0.00823578i | ||||
\(652\) | −14.5749 | + | 10.5893i | −0.0223542 | + | 0.0162412i | ||||
\(653\) | −701.150 | − | 227.818i | −1.07374 | − | 0.348878i | −0.281795 | − | 0.959475i | \(-0.590930\pi\) |
−0.791942 | + | 0.610596i | \(0.790930\pi\) | |||||||
\(654\) | 240.263 | + | 499.081i | 0.367375 | + | 0.763120i | ||||
\(655\) | 39.1372 | + | 7.00185i | 0.0597515 | + | 0.0106898i | ||||
\(656\) | 284.112 | − | 92.3135i | 0.433097 | − | 0.140722i | ||||
\(657\) | −38.9177 | + | 861.469i | −0.0592355 | + | 1.31122i | ||||
\(658\) | 11.0510 | + | 34.0114i | 0.0167948 | + | 0.0516891i | ||||
\(659\) | −190.143 | + | 261.710i | −0.288533 | + | 0.397131i | −0.928537 | − | 0.371240i | \(-0.878933\pi\) |
0.640004 | + | 0.768372i | \(0.278933\pi\) | |||||||
\(660\) | −578.217 | + | 161.044i | −0.876087 | + | 0.244006i | ||||
\(661\) | 659.007 | − | 478.797i | 0.996985 | − | 0.724352i | 0.0355453 | − | 0.999368i | \(-0.488683\pi\) |
0.961440 | + | 0.275016i | \(0.0886832\pi\) | |||||||
\(662\) | 138.603 | − | 190.770i | 0.209370 | − | 0.288173i | ||||
\(663\) | −108.119 | + | 14.6311i | −0.163076 | + | 0.0220681i | ||||
\(664\) | −2.17852 | + | 1.58279i | −0.00328091 | + | 0.00238372i | ||||
\(665\) | 12.1048 | − | 67.6604i | 0.0182027 | − | 0.101745i | ||||
\(666\) | 23.9485 | + | 19.1087i | 0.0359587 | + | 0.0286918i | ||||
\(667\) | 36.0381 | + | 110.914i | 0.0540301 | + | 0.166288i | ||||
\(668\) | − | 164.933i | − | 0.246906i | ||||||
\(669\) | 162.639 | − | 302.138i | 0.243107 | − | 0.451626i | ||||
\(670\) | 275.032 | − | 133.292i | 0.410496 | − | 0.198944i | ||||
\(671\) | −848.041 | − | 275.545i | −1.26385 | − | 0.410648i | ||||
\(672\) | 5.53714 | + | 11.5019i | 0.00823978 | + | 0.0171159i | ||||
\(673\) | −396.766 | + | 288.268i | −0.589549 | + | 0.428332i | −0.842154 | − | 0.539237i | \(-0.818713\pi\) |
0.252605 | + | 0.967569i | \(0.418713\pi\) | |||||||
\(674\) | − | 90.0223i | − | 0.133564i | ||||||
\(675\) | 630.866 | − | 240.068i | 0.934617 | − | 0.355656i | ||||
\(676\) | 75.2979 | 0.111387 | ||||||||
\(677\) | 9.69480 | + | 13.3437i | 0.0143202 | + | 0.0197101i | 0.816117 | − | 0.577887i | \(-0.196122\pi\) |
−0.801797 | + | 0.597597i | \(0.796122\pi\) | |||||||
\(678\) | 269.928 | − | 129.946i | 0.398123 | − | 0.191661i | ||||
\(679\) | 23.3153 | − | 71.7571i | 0.0343377 | − | 0.105681i | ||||
\(680\) | 44.4554 | − | 6.13453i | 0.0653756 | − | 0.00902137i | ||||
\(681\) | 1029.43 | + | 554.136i | 1.51164 | + | 0.813709i | ||||
\(682\) | 92.9966 | 0.136359 | ||||||||
\(683\) | −557.024 | + | 180.988i | −0.815555 | + | 0.264990i | −0.686949 | − | 0.726706i | \(-0.741050\pi\) |
−0.128606 | + | 0.991696i | \(0.541050\pi\) | |||||||
\(684\) | 205.172 | − | 257.137i | 0.299958 | − | 0.375931i | ||||
\(685\) | −175.414 | + | 85.0130i | −0.256079 | + | 0.124107i | ||||
\(686\) | 60.9229 | + | 83.8531i | 0.0888088 | + | 0.122235i | ||||
\(687\) | 28.4204 | + | 210.018i | 0.0413689 | + | 0.305702i | ||||
\(688\) | −9.70130 | − | 7.04841i | −0.0141007 | − | 0.0102448i | ||||
\(689\) | −618.619 | − | 851.456i | −0.897851 | − | 1.23579i | ||||
\(690\) | −220.904 | + | 592.837i | −0.320151 | + | 0.859185i | ||||
\(691\) | −840.014 | − | 610.306i | −1.21565 | − | 0.883221i | −0.219918 | − | 0.975518i | \(-0.570579\pi\) |
−0.995731 | + | 0.0922977i | \(0.970579\pi\) | |||||||
\(692\) | 541.593 | − | 175.974i | 0.782649 | − | 0.254298i | ||||
\(693\) | 135.309 | + | 6.11274i | 0.195252 | + | 0.00882069i | ||||
\(694\) | 142.732 | + | 439.285i | 0.205666 | + | 0.632976i | ||||
\(695\) | −664.589 | + | 91.7086i | −0.956243 | + | 0.131955i | ||||
\(696\) | −29.8966 | + | 14.3925i | −0.0429548 | + | 0.0206789i | ||||
\(697\) | −73.2336 | + | 225.390i | −0.105070 | + | 0.323372i | ||||
\(698\) | −63.5524 | − | 87.4724i | −0.0910493 | − | 0.125319i | ||||
\(699\) | 556.366 | − | 531.799i | 0.795945 | − | 0.760799i | ||||
\(700\) | −36.2046 | + | 10.1859i | −0.0517208 | + | 0.0145513i | ||||
\(701\) | 1211.02i | 1.72757i | 0.503864 | + | 0.863783i | \(0.331911\pi\) | ||||
−0.503864 | + | 0.863783i | \(0.668089\pi\) | |||||||
\(702\) | 426.608 | + | 97.5491i | 0.607703 | + | 0.138959i | ||||
\(703\) | −13.5942 | + | 41.8386i | −0.0193374 | + | 0.0595144i | ||||
\(704\) | 152.226 | + | 49.4613i | 0.216230 | + | 0.0702575i | ||||
\(705\) | −472.527 | − | 176.074i | −0.670251 | − | 0.249750i | ||||
\(706\) | −151.346 | − | 465.795i | −0.214371 | − | 0.659766i | ||||
\(707\) | 16.4897i | 0.0233234i | ||||||||
\(708\) | −294.393 | − | 158.470i | −0.415809 | − | 0.223827i | ||||
\(709\) | 878.787 | + | 638.476i | 1.23947 | + | 0.900531i | 0.997563 | − | 0.0697674i | \(-0.0222257\pi\) |
0.241911 | + | 0.970298i | \(0.422226\pi\) | |||||||
\(710\) | −27.3301 | + | 152.763i | −0.0384931 | + | 0.215160i | ||||
\(711\) | −737.425 | − | 1117.80i | −1.03717 | − | 1.57215i | ||||
\(712\) | 260.394 | + | 189.188i | 0.365722 | + | 0.265713i | ||||
\(713\) | 57.6156 | − | 79.3010i | 0.0808073 | − | 0.111222i | ||||
\(714\) | −9.96393 | − | 1.80955i | −0.0139551 | − | 0.00253439i | ||||
\(715\) | 540.785 | − | 1010.96i | 0.756342 | − | 1.41394i | ||||
\(716\) | −382.165 | + | 526.005i | −0.533750 | + | 0.734644i | ||||
\(717\) | −270.145 | − | 145.417i | −0.376771 | − | 0.202814i | ||||
\(718\) | 749.926 | 1.04447 | ||||||||
\(719\) | −490.349 | + | 159.324i | −0.681988 | + | 0.221591i | −0.629465 | − | 0.777028i | \(-0.716726\pi\) |
−0.0525224 | + | 0.998620i | \(0.516726\pi\) | |||||||
\(720\) | −175.576 | − | 39.6637i | −0.243855 | − | 0.0550885i | ||||
\(721\) | 39.7083 | − | 122.210i | 0.0550740 | − | 0.169500i | ||||
\(722\) | −36.3200 | − | 11.8011i | −0.0503047 | − | 0.0163450i | ||||
\(723\) | 950.843 | + | 172.683i | 1.31514 | + | 0.238842i | ||||
\(724\) | −428.640 | −0.592044 | ||||||||
\(725\) | −26.4760 | − | 94.1056i | −0.0365186 | − | 0.129801i | ||||
\(726\) | 856.599 | − | 818.775i | 1.17989 | − | 1.12779i | ||||
\(727\) | −624.749 | + | 453.907i | −0.859352 | + | 0.624356i | −0.927709 | − | 0.373305i | \(-0.878224\pi\) |
0.0683568 | + | 0.997661i | \(0.478224\pi\) | |||||||
\(728\) | −23.1901 | − | 7.53493i | −0.0318546 | − | 0.0103502i | ||||
\(729\) | −656.554 | − | 316.824i | −0.900623 | − | 0.434601i | ||||
\(730\) | 469.428 | + | 488.545i | 0.643053 | + | 0.669240i | ||||
\(731\) | 9.04741 | − | 2.93968i | 0.0123768 | − | 0.00402145i | ||||
\(732\) | −184.768 | − | 193.303i | −0.252415 | − | 0.264075i | ||||
\(733\) | −297.551 | − | 915.766i | −0.405935 | − | 1.24934i | −0.920112 | − | 0.391656i | \(-0.871902\pi\) |
0.514177 | − | 0.857684i | \(-0.328098\pi\) | |||||||
\(734\) | −305.135 | + | 419.982i | −0.415715 | + | 0.572183i | ||||
\(735\) | −725.856 | − | 30.8858i | −0.987559 | − | 0.0420215i | ||||
\(736\) | 136.488 | − | 99.1644i | 0.185446 | − | 0.134734i | ||||
\(737\) | −508.302 | + | 699.618i | −0.689691 | + | 0.949278i | ||||
\(738\) | 592.863 | − | 743.022i | 0.803337 | − | 1.00680i | ||||
\(739\) | 956.448 | − | 694.900i | 1.29425 | − | 0.940325i | 0.294364 | − | 0.955693i | \(-0.404892\pi\) |
0.999882 | + | 0.0153688i | \(0.00489225\pi\) | |||||||
\(740\) | 23.8454 | − | 3.29050i | 0.0322235 | − | 0.00444662i | ||||
\(741\) | 84.2642 | + | 622.685i | 0.113717 | + | 0.840330i | ||||
\(742\) | −30.1870 | − | 92.9062i | −0.0406833 | − | 0.125210i | ||||
\(743\) | − | 859.546i | − | 1.15686i | −0.815732 | − | 0.578429i | \(-0.803666\pi\) | ||
0.815732 | − | 0.578429i | \(-0.196334\pi\) | |||||||
\(744\) | 24.5567 | + | 13.2187i | 0.0330064 | + | 0.0177671i | ||||
\(745\) | −35.2195 | + | 65.8407i | −0.0472745 | + | 0.0883768i | ||||
\(746\) | 168.852 | + | 54.8635i | 0.226344 | + | 0.0735435i | ||||
\(747\) | −3.01286 | + | 8.02127i | −0.00403328 | + | 0.0107380i | ||||
\(748\) | −102.727 | + | 74.6358i | −0.137336 | + | 0.0997804i | ||||
\(749\) | − | 153.059i | − | 0.204350i | ||||||
\(750\) | 204.853 | − | 489.168i | 0.273138 | − | 0.652224i | ||||
\(751\) | 1265.96 | 1.68570 | 0.842848 | − | 0.538151i | \(-0.180877\pi\) | ||||
0.842848 | + | 0.538151i | \(0.180877\pi\) | |||||||
\(752\) | 79.0400 | + | 108.789i | 0.105106 | + | 0.144666i | ||||
\(753\) | −289.296 | − | 600.934i | −0.384191 | − | 0.798053i | ||||
\(754\) | 19.5854 | − | 60.2775i | 0.0259753 | − | 0.0799437i | ||||
\(755\) | 270.421 | + | 144.653i | 0.358173 | + | 0.191594i | ||||
\(756\) | 34.8610 | + | 20.8473i | 0.0461125 | + | 0.0275758i | ||||
\(757\) | −1313.56 | −1.73522 | −0.867611 | − | 0.497243i | \(-0.834346\pi\) | ||||
−0.867611 | + | 0.497243i | \(0.834346\pi\) | |||||||
\(758\) | −298.503 | + | 96.9896i | −0.393804 | + | 0.127955i | ||||
\(759\) | −240.055 | − | 1773.93i | −0.316278 | − | 2.33719i | ||||
\(760\) | −35.3303 | − | 256.029i | −0.0464872 | − | 0.336881i | ||||
\(761\) | 232.853 | + | 320.495i | 0.305984 | + | 0.421150i | 0.934123 | − | 0.356950i | \(-0.116183\pi\) |
−0.628140 | + | 0.778100i | \(0.716183\pi\) | |||||||
\(762\) | 445.724 | − | 60.3172i | 0.584940 | − | 0.0791564i | ||||
\(763\) | −79.4493 | − | 57.7233i | −0.104127 | − | 0.0756530i | ||||
\(764\) | 56.3683 | + | 77.5843i | 0.0737805 | + | 0.101550i | ||||
\(765\) | 107.327 | − | 94.1901i | 0.140297 | − | 0.123124i | ||||
\(766\) | 496.807 | + | 360.951i | 0.648573 | + | 0.471216i | ||||
\(767\) | 607.370 | − | 197.347i | 0.791878 | − | 0.257297i | ||||
\(768\) | 33.1664 | + | 34.6986i | 0.0431854 | + | 0.0451804i | ||||
\(769\) | 158.055 | + | 486.445i | 0.205534 | + | 0.632568i | 0.999691 | + | 0.0248557i | \(0.00791262\pi\) |
−0.794157 | + | 0.607712i | \(0.792087\pi\) | |||||||
\(770\) | 76.7349 | − | 73.7323i | 0.0996557 | − | 0.0957562i | ||||
\(771\) | 377.601 | + | 784.362i | 0.489754 | + | 1.01733i | ||||
\(772\) | 99.4461 | − | 306.064i | 0.128816 | − | 0.396456i | ||||
\(773\) | 585.466 | + | 805.825i | 0.757395 | + | 1.04246i | 0.997426 | + | 0.0716991i | \(0.0228421\pi\) |
−0.240032 | + | 0.970765i | \(0.577158\pi\) | |||||||
\(774\) | −38.1177 | − | 1.72201i | −0.0492477 | − | 0.00222481i | ||||
\(775\) | −50.9103 | + | 64.4951i | −0.0656907 | + | 0.0832194i | ||||
\(776\) | − | 283.706i | − | 0.365601i | ||||||
\(777\) | −5.34454 | − | 0.970623i | −0.00687843 | − | 0.00124919i | ||||
\(778\) | −160.702 | + | 494.590i | −0.206558 | + | 0.635720i | ||||
\(779\) | 1298.08 | + | 421.770i | 1.66634 | + | 0.541425i | ||||
\(780\) | 286.501 | − | 190.088i | 0.367309 | − | 0.243702i | ||||
\(781\) | −135.691 | − | 417.614i | −0.173740 | − | 0.534716i | ||||
\(782\) | 133.839i | 0.171150i | ||||||||
\(783\) | −54.1879 | + | 90.6134i | −0.0692055 | + | 0.115726i | ||||
\(784\) | 156.736 | + | 113.876i | 0.199919 | + | 0.145250i | ||||
\(785\) | 947.054 | + | 506.598i | 1.20644 | + | 0.645347i | ||||
\(786\) | −33.1934 | − | 6.02826i | −0.0422307 | − | 0.00766954i | ||||
\(787\) | −723.473 | − | 525.634i | −0.919279 | − | 0.667896i | 0.0240652 | − | 0.999710i | \(-0.492339\pi\) |
−0.943345 | + | 0.331815i | \(0.892339\pi\) | |||||||
\(788\) | 55.6428 | − | 76.5858i | 0.0706127 | − | 0.0971901i | ||||
\(789\) | −188.652 | + | 1038.78i | −0.239103 | + | 1.31657i | ||||
\(790\) | −1035.67 | − | 185.287i | −1.31098 | − | 0.234541i | ||||
\(791\) | −31.2196 | + | 42.9701i | −0.0394685 | + | 0.0543238i | ||||
\(792\) | 490.990 | − | 135.364i | 0.619937 | − | 0.170915i | ||||
\(793\) | 510.780 | 0.644111 | ||||||||
\(794\) | 480.483 | − | 156.118i | 0.605142 | − | 0.196623i | ||||
\(795\) | 1290.76 | + | 480.967i | 1.62360 | + | 0.604990i | ||||
\(796\) | −112.845 | + | 347.302i | −0.141765 | + | 0.436309i | ||||
\(797\) | 58.8097 | + | 19.1084i | 0.0737888 | + | 0.0239754i | 0.345679 | − | 0.938353i | \(-0.387649\pi\) |
−0.271890 | + | 0.962328i | \(0.587649\pi\) | |||||||
\(798\) | −10.4216 | + | 57.3847i | −0.0130597 | + | 0.0719106i | ||||
\(799\) | −106.678 | −0.133514 | ||||||||
\(800\) | −117.637 | + | 78.4948i | −0.147047 | + | 0.0981185i | ||||
\(801\) | 1023.13 | + | 46.2207i | 1.27731 | + | 0.0577037i | ||||
\(802\) | 305.186 | − | 221.731i | 0.380531 | − | 0.276472i | ||||
\(803\) | −1823.22 | − | 592.400i | −2.27051 | − | 0.737734i | ||||
\(804\) | −233.668 | + | 112.490i | −0.290632 | + | 0.139913i | ||||
\(805\) | −15.3331 | − | 111.115i | −0.0190473 | − | 0.138031i | ||||
\(806\) | −50.6637 | + | 16.4616i | −0.0628582 | + | 0.0204239i | ||||
\(807\) | −257.217 | + | 245.860i | −0.318733 | + | 0.304659i | ||||
\(808\) | 19.1604 | + | 58.9696i | 0.0237133 | + | 0.0729822i | ||||
\(809\) | −472.902 | + | 650.893i | −0.584551 | + | 0.804565i | −0.994185 | − | 0.107685i | \(-0.965656\pi\) |
0.409634 | + | 0.912250i | \(0.365656\pi\) | |||||||
\(810\) | −535.840 | + | 202.301i | −0.661531 | + | 0.249754i | ||||
\(811\) | −52.6505 | + | 38.2529i | −0.0649205 | + | 0.0471675i | −0.619772 | − | 0.784782i | \(-0.712775\pi\) |
0.554852 | + | 0.831949i | \(0.312775\pi\) | |||||||
\(812\) | 3.45781 | − | 4.75927i | 0.00425839 | − | 0.00586117i | ||||
\(813\) | −76.6879 | − | 566.698i | −0.0943271 | − | 0.697046i | ||||
\(814\) | −55.1018 | + | 40.0338i | −0.0676926 | + | 0.0491816i | ||||
\(815\) | 19.6425 | + | 40.5300i | 0.0241013 | + | 0.0497300i | ||||
\(816\) | −37.7352 | + | 5.10647i | −0.0462441 | + | 0.00625793i | ||||
\(817\) | −16.9303 | − | 52.1062i | −0.0207226 | − | 0.0637775i | ||||
\(818\) | 425.344i | 0.519980i | ||||||||
\(819\) | −74.7974 | + | 20.6214i | −0.0913277 | + | 0.0251788i | ||||
\(820\) | −102.090 | − | 739.821i | −0.124500 | − | 0.902221i | ||||
\(821\) | −690.501 | − | 224.358i | −0.841049 | − | 0.273273i | −0.143357 | − | 0.989671i | \(-0.545790\pi\) |
−0.697692 | + | 0.716398i | \(0.745790\pi\) | |||||||
\(822\) | 149.032 | − | 71.7457i | 0.181304 | − | 0.0872819i | ||||
\(823\) | −167.541 | + | 121.726i | −0.203574 | + | 0.147905i | −0.684901 | − | 0.728636i | \(-0.740155\pi\) |
0.481328 | + | 0.876541i | \(0.340155\pi\) | |||||||
\(824\) | − | 483.180i | − | 0.586384i | ||||||
\(825\) | 141.744 | + | 1493.85i | 0.171811 | + | 1.81073i | ||||
\(826\) | 59.2762 | 0.0717630 | ||||||||
\(827\) | 201.813 | + | 277.772i | 0.244030 | + | 0.335879i | 0.913409 | − | 0.407042i | \(-0.133440\pi\) |
−0.669379 | + | 0.742921i | \(0.733440\pi\) | |||||||
\(828\) | 188.761 | − | 502.546i | 0.227972 | − | 0.606940i | ||||
\(829\) | 142.416 | − | 438.310i | 0.171792 | − | 0.528721i | −0.827680 | − | 0.561200i | \(-0.810340\pi\) |
0.999472 | + | 0.0324783i | \(0.0103400\pi\) | |||||||
\(830\) | 2.93598 | + | 6.05804i | 0.00353733 | + | 0.00729884i | ||||
\(831\) | 201.094 | − | 373.577i | 0.241991 | − | 0.449551i | ||||
\(832\) | −91.6868 | −0.110200 | ||||||||
\(833\) | −146.172 | + | 47.4941i | −0.175476 | + | 0.0570157i | ||||
\(834\) | 564.124 | − | 76.3396i | 0.676408 | − | 0.0915343i | ||||
\(835\) | −405.888 | − | 72.6154i | −0.486093 | − | 0.0869646i | ||||
\(836\) | 429.846 | + | 591.632i | 0.514169 | + | 0.707693i | ||||
\(837\) | 88.3866 | − | 7.91947i | 0.105599 | − | 0.00946173i | ||||
\(838\) | −84.9096 | − | 61.6904i | −0.101324 | − | 0.0736162i | ||||
\(839\) | 502.493 | + | 691.623i | 0.598919 | + | 0.824342i | 0.995609 | − | 0.0936111i | \(-0.0298410\pi\) |
−0.396690 | + | 0.917953i | \(0.629841\pi\) | |||||||
\(840\) | 30.7431 | − | 8.56252i | 0.0365990 | − | 0.0101935i | ||||
\(841\) | −668.013 | − | 485.340i | −0.794308 | − | 0.577098i | ||||
\(842\) | −827.170 | + | 268.764i | −0.982387 | + | 0.319197i | ||||
\(843\) | 854.269 | − | 816.548i | 1.01337 | − | 0.968622i | ||||
\(844\) | 192.380 | + | 592.083i | 0.227938 | + | 0.701521i | ||||
\(845\) | 33.1516 | − | 185.303i | 0.0392326 | − | 0.219293i | ||||
\(846\) | 400.560 | + | 150.454i | 0.473475 | + | 0.177841i | ||||
\(847\) | −64.9216 | + | 199.808i | −0.0766488 | + | 0.235901i | ||||
\(848\) | −215.907 | − | 297.170i | −0.254607 | − | 0.350437i | ||||
\(849\) | −598.088 | − | 625.717i | −0.704462 | − | 0.737005i | ||||
\(850\) | 4.47584 | − | 112.102i | 0.00526569 | − | 0.131885i | ||||
\(851\) | 71.7897i | 0.0843592i | ||||||||
\(852\) | 23.5299 | − | 129.563i | 0.0276173 | − | 0.152069i | ||||
\(853\) | 172.074 | − | 529.588i | 0.201728 | − | 0.620854i | −0.798104 | − | 0.602519i | \(-0.794164\pi\) |
0.999832 | − | 0.0183344i | \(-0.00583636\pi\) | |||||||
\(854\) | 45.0894 | + | 14.6504i | 0.0527978 | + | 0.0171551i | ||||
\(855\) | −542.464 | − | 618.122i | −0.634461 | − | 0.722950i | ||||
\(856\) | −177.848 | − | 547.361i | −0.207767 | − | 0.639440i | ||||
\(857\) | 1150.53i | 1.34251i | 0.741225 | + | 0.671257i | \(0.234245\pi\) | ||||
−0.741225 | + | 0.671257i | \(0.765755\pi\) | |||||||
\(858\) | −461.117 | + | 856.626i | −0.537432 | + | 0.998399i | ||||
\(859\) | −192.487 | − | 139.850i | −0.224082 | − | 0.162805i | 0.470080 | − | 0.882624i | \(-0.344225\pi\) |
−0.694162 | + | 0.719819i | \(0.744225\pi\) | |||||||
\(860\) | −21.6168 | + | 20.7710i | −0.0251358 | + | 0.0241523i | ||||
\(861\) | −30.1143 | + | 165.818i | −0.0349760 | + | 0.192588i | ||||
\(862\) | −774.142 | − | 562.447i | −0.898077 | − | 0.652491i | ||||
\(863\) | 462.136 | − | 636.075i | 0.535499 | − | 0.737051i | −0.452457 | − | 0.891786i | \(-0.649452\pi\) |
0.987956 | + | 0.154735i | \(0.0494524\pi\) | |||||||
\(864\) | 148.892 | + | 34.0460i | 0.172329 | + | 0.0394051i | ||||
\(865\) | −194.611 | − | 1410.30i | −0.224984 | − | 1.63040i | ||||
\(866\) | 302.563 | − | 416.442i | 0.349380 | − | 0.480880i | ||||
\(867\) | −396.627 | + | 736.822i | −0.457471 | + | 0.849852i | ||||
\(868\) | −4.94452 | −0.00569645 | ||||||||
\(869\) | 2831.25 | − | 919.930i | 3.25806 | − | 1.05861i | ||||
\(870\) | 22.2563 | + | 79.9099i | 0.0255820 | + | 0.0918504i | ||||
\(871\) | 153.077 | − | 471.122i | 0.175748 | − | 0.540898i | ||||
\(872\) | −351.195 | − | 114.110i | −0.402747 | − | 0.130860i | ||||
\(873\) | −497.121 | − | 753.541i | −0.569440 | − | 0.863162i | ||||
\(874\) | 770.811 | 0.881935 | ||||||||
\(875\) | 9.12693 | + | 93.5814i | 0.0104308 | + | 0.106950i | ||||
\(876\) | −397.236 | − | 415.586i | −0.453466 | − | 0.474414i | ||||
\(877\) | −955.613 | + | 694.293i | −1.08964 | + | 0.791669i | −0.979338 | − | 0.202230i | \(-0.935181\pi\) |
−0.110300 | + | 0.993898i | \(0.535181\pi\) | |||||||
\(878\) | −127.060 | − | 41.2842i | −0.144715 | − | 0.0470207i | ||||
\(879\) | −140.967 | − | 292.821i | −0.160372 | − | 0.333129i | ||||
\(880\) | 188.742 | − | 352.841i | 0.214479 | − | 0.400956i | ||||
\(881\) | −889.984 | + | 289.173i | −1.01020 | + | 0.328233i | −0.766933 | − | 0.641727i | \(-0.778218\pi\) |
−0.243264 | + | 0.969960i | \(0.578218\pi\) | |||||||
\(882\) | 615.838 | + | 27.8211i | 0.698230 | + | 0.0315432i | ||||
\(883\) | 42.4241 | + | 130.568i | 0.0480454 | + | 0.147868i | 0.972201 | − | 0.234148i | \(-0.0752299\pi\) |
−0.924156 | + | 0.382016i | \(0.875230\pi\) | |||||||
\(884\) | 42.7534 | − | 58.8450i | 0.0483636 | − | 0.0665668i | ||||
\(885\) | −519.596 | + | 654.709i | −0.587114 | + | 0.739784i | ||||
\(886\) | −552.369 | + | 401.320i | −0.623442 | + | 0.452957i | ||||
\(887\) | −52.2133 | + | 71.8655i | −0.0588651 | + | 0.0810208i | −0.837435 | − | 0.546537i | \(-0.815946\pi\) |
0.778570 | + | 0.627558i | \(0.215946\pi\) | |||||||
\(888\) | −20.2407 | + | 2.73906i | −0.0227936 | + | 0.00308452i | ||||
\(889\) | −64.5154 | + | 46.8732i | −0.0725707 | + | 0.0527257i | ||||
\(890\) | 580.221 | − | 557.517i | 0.651934 | − | 0.626424i | ||||
\(891\) | 1066.91 | − | 1219.87i | 1.19743 | − | 1.36910i | ||||
\(892\) | 70.6888 | + | 217.558i | 0.0792475 | + | 0.243899i | ||||
\(893\) | 614.382i | 0.687998i | ||||||||
\(894\) | 30.0310 | − | 55.7892i | 0.0335917 | − | 0.0624040i | ||||
\(895\) | 1126.20 | + | 1172.07i | 1.25833 | + | 1.30957i | ||||
\(896\) | −8.09369 | − | 2.62980i | −0.00903314 | − | 0.00293504i | ||||
\(897\) | 444.789 | + | 923.927i | 0.495863 | + | 1.03002i | ||||
\(898\) | −455.926 | + | 331.250i | −0.507713 | + | 0.368875i | ||||
\(899\) | − | 12.8522i | − | 0.0142961i | ||||||
\(900\) | −174.911 | + | 414.616i | −0.194345 | + | 0.460684i | ||||
\(901\) | 291.403 | 0.323421 | ||||||||
\(902\) | 1242.08 | + | 1709.58i | 1.37703 | + | 1.89532i | ||||
\(903\) | 6.09546 | − | 2.93442i | 0.00675023 | − | 0.00324964i | ||||
\(904\) | −61.7164 | + | 189.944i | −0.0682704 | + | 0.210115i | ||||
\(905\) | −188.718 | + | 1054.85i | −0.208528 | + | 1.16558i | ||||
\(906\) | −229.137 | − | 123.343i | −0.252911 | − | 0.136140i | ||||
\(907\) | 571.577 | 0.630184 | 0.315092 | − | 0.949061i | \(-0.397965\pi\) | ||||
0.315092 | + | 0.949061i | \(0.397965\pi\) | |||||||
\(908\) | −741.253 | + | 240.848i | −0.816358 | + | 0.265251i | ||||
\(909\) | 154.220 | + | 123.053i | 0.169659 | + | 0.135372i | ||||
\(910\) | −28.7529 | + | 53.7518i | −0.0315966 | + | 0.0590679i | ||||
\(911\) | −625.679 | − | 861.173i | −0.686804 | − | 0.945305i | 0.313186 | − | 0.949692i | \(-0.398604\pi\) |
−0.999990 | + | 0.00438696i | \(0.998604\pi\) | |||||||
\(912\) | 29.4094 | + | 217.326i | 0.0322472 | + | 0.238296i | ||||
\(913\) | −15.4103 | − | 11.1962i | −0.0168787 | − | 0.0122631i | ||||
\(914\) | −358.103 | − | 492.887i | −0.391798 | − | 0.539263i | ||||
\(915\) | −557.053 | + | 369.594i | −0.608801 | + | 0.403927i | ||||
\(916\) | −114.304 | − | 83.0469i | −0.124786 | − | 0.0906626i | ||||
\(917\) | 5.68857 | − | 1.84833i | 0.00620345 | − | 0.00201562i | ||||
\(918\) | −91.2791 | + | 79.6841i | −0.0994326 | + | 0.0868019i | ||||
\(919\) | −231.126 | − | 711.333i | −0.251498 | − | 0.774030i | −0.994500 | − | 0.104741i | \(-0.966599\pi\) |
0.743002 | − | 0.669289i | \(-0.233401\pi\) | |||||||
\(920\) | −183.944 | − | 379.547i | −0.199940 | − | 0.412551i | ||||
\(921\) | 255.820 | − | 123.154i | 0.277763 | − | 0.133718i | ||||
\(922\) | −204.643 | + | 629.825i | −0.221955 | + | 0.683107i | ||||
\(923\) | 147.846 | + | 203.493i | 0.160180 | + | 0.220469i | ||||
\(924\) | −65.2754 | + | 62.3931i | −0.0706444 | + | 0.0675250i | ||||
\(925\) | 2.40079 | − | 60.1304i | 0.00259545 | − | 0.0650058i | ||||
\(926\) | − | 941.994i | − | 1.01727i | ||||||
\(927\) | −846.647 | − | 1283.36i | −0.913319 | − | 1.38442i | ||||
\(928\) | 6.83557 | − | 21.0377i | 0.00736592 | − | 0.0226700i | ||||
\(929\) | 13.1716 | + | 4.27973i | 0.0141783 | + | 0.00460681i | 0.316098 | − | 0.948727i | \(-0.397627\pi\) |
−0.301919 | + | 0.953334i | \(0.597627\pi\) | |||||||
\(930\) | 43.3420 | − | 54.6125i | 0.0466043 | − | 0.0587231i | ||||
\(931\) | 273.530 | + | 841.839i | 0.293803 | + | 0.904231i | ||||
\(932\) | 513.096i | 0.550532i | ||||||||
\(933\) | −199.193 | − | 107.225i | −0.213498 | − | 0.114924i | ||||
\(934\) | 440.991 | + | 320.399i | 0.472154 | + | 0.343040i | ||||
\(935\) | 138.445 | + | 285.665i | 0.148070 | + | 0.305524i | ||||
\(936\) | −243.526 | + | 160.657i | −0.260177 | + | 0.171642i | ||||
\(937\) | −221.299 | − | 160.783i | −0.236178 | − | 0.171594i | 0.463401 | − | 0.886149i | \(-0.346629\pi\) |
−0.699579 | + | 0.714555i | \(0.746629\pi\) | |||||||
\(938\) | 27.0258 | − | 37.1979i | 0.0288122 | − | 0.0396566i | ||||
\(939\) | 1133.00 | + | 205.765i | 1.20661 | + | 0.219132i | ||||
\(940\) | 302.521 | − | 146.615i | 0.321831 | − | 0.155973i | ||||
\(941\) | 348.166 | − | 479.210i | 0.369996 | − | 0.509256i | −0.582904 | − | 0.812541i | \(-0.698084\pi\) |
0.952900 | + | 0.303285i | \(0.0980836\pi\) | |||||||
\(942\) | −802.473 | − | 431.966i | −0.851882 | − | 0.458563i | ||||
\(943\) | 2227.33 | 2.36196 | ||||||||
\(944\) | 211.981 | − | 68.8768i | 0.224556 | − | 0.0729627i | ||||
\(945\) | 66.6521 | − | 76.6119i | 0.0705313 | − | 0.0810708i | ||||
\(946\) | 26.2121 | − | 80.6727i | 0.0277084 | − | 0.0852777i | ||||
\(947\) | −780.582 | − | 253.627i | −0.824268 | − | 0.267821i | −0.133639 | − | 0.991030i | \(-0.542666\pi\) |
−0.690629 | + | 0.723209i | \(0.742666\pi\) | |||||||
\(948\) | 878.383 | + | 159.523i | 0.926565 | + | 0.168274i | ||||
\(949\) | 1098.14 | 1.15715 | ||||||||
\(950\) | −645.624 | − | 25.7774i | −0.679605 | − | 0.0271341i | ||||
\(951\) | 23.3105 | − | 22.2812i | 0.0245116 | − | 0.0234292i | ||||
\(952\) | 5.46189 | − | 3.96830i | 0.00573728 | − | 0.00416838i | ||||
\(953\) | −418.658 | − | 136.030i | −0.439306 | − | 0.142739i | 0.0810096 | − | 0.996713i | \(-0.474186\pi\) |
−0.520315 | + | 0.853974i | \(0.674186\pi\) | |||||||
\(954\) | −1094.18 | − | 410.982i | −1.14693 | − | 0.430799i | ||||
\(955\) | 215.747 | − | 104.560i | 0.225913 | − | 0.109487i | ||||
\(956\) | 194.521 | − | 63.2036i | 0.203474 | − | 0.0661126i | ||||
\(957\) | −162.177 | − | 169.669i | −0.169464 | − | 0.177292i | ||||
\(958\) | −270.982 | − | 833.996i | −0.282862 | − | 0.870560i | ||||
\(959\) | −17.2369 | + | 23.7246i | −0.0179739 | + | 0.0247389i | ||||
\(960\) | 99.9929 | − | 66.3433i | 0.104159 | − | 0.0691076i | ||||
\(961\) | 768.726 | − | 558.512i | 0.799923 | − | 0.581178i | ||||
\(962\) | 22.9325 | − | 31.5638i | 0.0238383 | − | 0.0328106i | ||||
\(963\) | −1431.48 | − | 1142.19i | −1.48648 | − | 1.18608i | ||||
\(964\) | −521.221 | + | 378.689i | −0.540686 | + | 0.392831i | ||||
\(965\) | −709.417 | − | 379.481i | −0.735147 | − | 0.393245i | ||||
\(966\) | 12.7635 | + | 94.3177i | 0.0132127 | + | 0.0976373i | ||||
\(967\) | 354.476 | + | 1090.96i | 0.366572 | + | 1.12819i | 0.948991 | + | 0.315305i | \(0.102107\pi\) |
−0.582418 | + | 0.812889i | \(0.697893\pi\) | |||||||
\(968\) | 789.980i | 0.816095i | ||||||||
\(969\) | −153.194 | − | 82.4636i | −0.158095 | − | 0.0851018i | ||||
\(970\) | −698.180 | − | 124.908i | −0.719773 | − | 0.128771i | ||||
\(971\) | −591.698 | − | 192.254i | −0.609370 | − | 0.197996i | −0.0119548 | − | 0.999929i | \(-0.503805\pi\) |
−0.597415 | + | 0.801932i | \(0.703805\pi\) | |||||||
\(972\) | 455.123 | − | 170.466i | 0.468234 | − | 0.175377i | ||||
\(973\) | −81.6529 | + | 59.3243i | −0.0839187 | + | 0.0609705i | ||||
\(974\) | 197.683i | 0.202960i | ||||||||
\(975\) | −341.653 | − | 788.748i | −0.350413 | − | 0.808972i | ||||
\(976\) | 178.270 | 0.182653 | ||||||||
\(977\) | −438.633 | − | 603.726i | −0.448959 | − | 0.617939i | 0.523215 | − | 0.852201i | \(-0.324733\pi\) |
−0.972174 | + | 0.234262i | \(0.924733\pi\) | |||||||
\(978\) | −16.5771 | − | 34.4344i | −0.0169500 | − | 0.0352090i | ||||
\(979\) | −703.565 | + | 2165.35i | −0.718657 | + | 2.21180i | ||||
\(980\) | 349.246 | − | 335.580i | 0.356374 | − | 0.342429i | ||||
\(981\) | −1132.74 | + | 312.294i | −1.15468 | + | 0.318342i | ||||
\(982\) | −93.5748 | −0.0952900 | ||||||||
\(983\) | −579.028 | + | 188.138i | −0.589041 | + | 0.191391i | −0.588347 | − | 0.808609i | \(-0.700221\pi\) |
−0.000694462 | 1.00000i | \(0.500221\pi\) | ||||||||
\(984\) | 84.9813 | + | 627.984i | 0.0863631 | + | 0.638195i | ||||
\(985\) | −163.974 | − | 170.652i | −0.166471 | − | 0.173250i | ||||
\(986\) | 10.3147 | + | 14.1970i | 0.0104612 | + | 0.0143985i | ||||
\(987\) | −75.1768 | + | 10.1732i | −0.0761670 | + | 0.0103072i | ||||
\(988\) | −338.903 | − | 246.227i | −0.343019 | − | 0.249218i | ||||
\(989\) | −52.5525 | − | 72.3323i | −0.0531370 | − | 0.0731368i | ||||
\(990\) | −116.953 | − | 1267.89i | −0.118134 | − | 1.28069i | ||||
\(991\) | 982.053 | + | 713.504i | 0.990972 | + | 0.719983i | 0.960134 | − | 0.279541i | \(-0.0901823\pi\) |
0.0308384 | + | 0.999524i | \(0.490182\pi\) | |||||||
\(992\) | −17.6824 | + | 5.74535i | −0.0178250 | + | 0.00579168i | ||||
\(993\) | 345.634 | + | 361.601i | 0.348071 | + | 0.364150i | ||||
\(994\) | 7.21453 | + | 22.2040i | 0.00725808 | + | 0.0223381i | ||||
\(995\) | 805.002 | + | 430.611i | 0.809047 | + | 0.432775i | ||||
\(996\) | −2.47779 | − | 5.14693i | −0.00248774 | − | 0.00516760i | ||||
\(997\) | −325.015 | + | 1000.29i | −0.325993 | + | 1.00330i | 0.644998 | + | 0.764184i | \(0.276858\pi\) |
−0.970991 | + | 0.239118i | \(0.923142\pi\) | |||||||
\(998\) | −227.069 | − | 312.534i | −0.227524 | − | 0.313160i | ||||
\(999\) | −48.9611 | + | 42.7416i | −0.0490101 | + | 0.0427844i |
(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 | 150.3.j.a.11.8 | ✓ | 80 | |
3.2 | odd | 2 | inner | 150.3.j.a.11.14 | yes | 80 | |
25.16 | even | 5 | inner | 150.3.j.a.41.14 | yes | 80 | |
75.41 | odd | 10 | inner | 150.3.j.a.41.8 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.3.j.a.11.8 | ✓ | 80 | 1.1 | even | 1 | trivial | |
150.3.j.a.11.14 | yes | 80 | 3.2 | odd | 2 | inner | |
150.3.j.a.41.8 | yes | 80 | 75.41 | odd | 10 | inner | |
150.3.j.a.41.14 | yes | 80 | 25.16 | even | 5 | inner |