Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [435,2,Mod(16,435)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(435, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("435.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 435 = 3 \cdot 5 \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 435.u (of order \(7\), degree \(6\), 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: | \(3.47349248793\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 16.4 | ||
Character | \(\chi\) | \(=\) | 435.16 |
Dual form | 435.2.u.a.136.4 |
$q$-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 \(\left(\mathbb{Z}/435\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(146\) | \(262\) |
\(\chi(n)\) | \(e\left(\frac{1}{7}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.52210 | + | 0.733005i | 1.07629 | + | 0.518313i | 0.886128 | − | 0.463440i | \(-0.153385\pi\) |
0.190160 | + | 0.981753i | \(0.439099\pi\) | |||||||
\(3\) | 0.623490 | − | 0.781831i | 0.359972 | − | 0.451391i | ||||
\(4\) | 0.532514 | + | 0.667752i | 0.266257 | + | 0.333876i | ||||
\(5\) | 0.900969 | + | 0.433884i | 0.402926 | + | 0.194039i | ||||
\(6\) | 1.52210 | − | 0.733005i | 0.621395 | − | 0.299248i | ||||
\(7\) | 1.30031 | − | 1.63054i | 0.491471 | − | 0.616286i | −0.472810 | − | 0.881164i | \(-0.656760\pi\) |
0.964282 | + | 0.264879i | \(0.0853319\pi\) | |||||||
\(8\) | −0.430781 | − | 1.88737i | −0.152304 | − | 0.667287i | ||||
\(9\) | −0.222521 | − | 0.974928i | −0.0741736 | − | 0.324976i | ||||
\(10\) | 1.05333 | + | 1.32083i | 0.333091 | + | 0.417683i | ||||
\(11\) | −0.0905464 | + | 0.396710i | −0.0273008 | + | 0.119613i | −0.986742 | − | 0.162296i | \(-0.948110\pi\) |
0.959441 | + | 0.281908i | \(0.0909673\pi\) | |||||||
\(12\) | 0.854086 | 0.246554 | ||||||||
\(13\) | −0.545743 | + | 2.39106i | −0.151362 | + | 0.663160i | 0.841128 | + | 0.540836i | \(0.181892\pi\) |
−0.992490 | + | 0.122324i | \(0.960965\pi\) | |||||||
\(14\) | 3.17440 | − | 1.52871i | 0.848393 | − | 0.408565i | ||||
\(15\) | 0.900969 | − | 0.433884i | 0.232629 | − | 0.112028i | ||||
\(16\) | 1.10787 | − | 4.85388i | 0.276967 | − | 1.21347i | ||||
\(17\) | 3.42230 | 0.830030 | 0.415015 | − | 0.909814i | \(-0.363776\pi\) | ||||
0.415015 | + | 0.909814i | \(0.363776\pi\) | |||||||
\(18\) | 0.375928 | − | 1.64705i | 0.0886070 | − | 0.388213i | ||||
\(19\) | 2.33281 | + | 2.92525i | 0.535184 | + | 0.671099i | 0.973755 | − | 0.227597i | \(-0.0730869\pi\) |
−0.438572 | + | 0.898696i | \(0.644515\pi\) | |||||||
\(20\) | 0.190052 | + | 0.832673i | 0.0424969 | + | 0.186191i | ||||
\(21\) | −0.464076 | − | 2.03325i | −0.101270 | − | 0.443691i | ||||
\(22\) | −0.428611 | + | 0.537461i | −0.0913802 | + | 0.114587i | ||||
\(23\) | −6.04165 | + | 2.90951i | −1.25977 | + | 0.606674i | −0.940114 | − | 0.340859i | \(-0.889282\pi\) |
−0.319657 | + | 0.947533i | \(0.603568\pi\) | |||||||
\(24\) | −1.74420 | − | 0.839960i | −0.356032 | − | 0.171456i | ||||
\(25\) | 0.623490 | + | 0.781831i | 0.124698 | + | 0.156366i | ||||
\(26\) | −2.58333 | + | 3.23940i | −0.506633 | + | 0.635298i | ||||
\(27\) | −0.900969 | − | 0.433884i | −0.173392 | − | 0.0835010i | ||||
\(28\) | 1.78123 | 0.336621 | ||||||||
\(29\) | −5.30345 | − | 0.934582i | −0.984825 | − | 0.173548i | ||||
\(30\) | 1.68940 | 0.308442 | ||||||||
\(31\) | −2.02553 | − | 0.975444i | −0.363796 | − | 0.175195i | 0.243051 | − | 0.970013i | \(-0.421852\pi\) |
−0.606847 | + | 0.794819i | \(0.707566\pi\) | |||||||
\(32\) | 2.83016 | − | 3.54891i | 0.500307 | − | 0.627365i | ||||
\(33\) | 0.253705 | + | 0.318137i | 0.0441644 | + | 0.0553805i | ||||
\(34\) | 5.20909 | + | 2.50857i | 0.893352 | + | 0.430215i | ||||
\(35\) | 1.87900 | − | 0.904881i | 0.317610 | − | 0.152953i | ||||
\(36\) | 0.532514 | − | 0.667752i | 0.0887524 | − | 0.111292i | ||||
\(37\) | 1.97953 | + | 8.67287i | 0.325432 | + | 1.42581i | 0.827735 | + | 0.561120i | \(0.189629\pi\) |
−0.502303 | + | 0.864692i | \(0.667514\pi\) | |||||||
\(38\) | 1.40655 | + | 6.16249i | 0.228172 | + | 0.999689i | ||||
\(39\) | 1.52914 | + | 1.91748i | 0.244858 | + | 0.307042i | ||||
\(40\) | 0.430781 | − | 1.88737i | 0.0681124 | − | 0.298420i | ||||
\(41\) | 2.69792 | 0.421345 | 0.210672 | − | 0.977557i | \(-0.432435\pi\) | ||||
0.210672 | + | 0.977557i | \(0.432435\pi\) | |||||||
\(42\) | 0.784011 | − | 3.43498i | 0.120976 | − | 0.530029i | ||||
\(43\) | −2.61215 | + | 1.25795i | −0.398349 | + | 0.191835i | −0.622323 | − | 0.782760i | \(-0.713811\pi\) |
0.223974 | + | 0.974595i | \(0.428097\pi\) | |||||||
\(44\) | −0.313121 | + | 0.150791i | −0.0472048 | + | 0.0227326i | ||||
\(45\) | 0.222521 | − | 0.974928i | 0.0331715 | − | 0.145334i | ||||
\(46\) | −11.3287 | −1.67032 | ||||||||
\(47\) | 0.287810 | − | 1.26098i | 0.0419814 | − | 0.183932i | −0.949590 | − | 0.313495i | \(-0.898500\pi\) |
0.991571 | + | 0.129562i | \(0.0413573\pi\) | |||||||
\(48\) | −3.10417 | − | 3.89251i | −0.448049 | − | 0.561836i | ||||
\(49\) | 0.589800 | + | 2.58408i | 0.0842571 | + | 0.369154i | ||||
\(50\) | 0.375928 | + | 1.64705i | 0.0531642 | + | 0.232928i | ||||
\(51\) | 2.13377 | − | 2.67566i | 0.298788 | − | 0.374668i | ||||
\(52\) | −1.88725 | + | 0.908851i | −0.261714 | + | 0.126035i | ||||
\(53\) | −5.30014 | − | 2.55241i | −0.728030 | − | 0.350601i | 0.0328792 | − | 0.999459i | \(-0.489532\pi\) |
−0.760909 | + | 0.648859i | \(0.775247\pi\) | |||||||
\(54\) | −1.05333 | − | 1.32083i | −0.143340 | − | 0.179742i | ||||
\(55\) | −0.253705 | + | 0.318137i | −0.0342096 | + | 0.0428975i | ||||
\(56\) | −3.63758 | − | 1.75177i | −0.486093 | − | 0.234090i | ||||
\(57\) | 3.74154 | 0.495579 | ||||||||
\(58\) | −7.38733 | − | 5.30998i | −0.970004 | − | 0.697235i | ||||
\(59\) | −5.74518 | −0.747959 | −0.373980 | − | 0.927437i | \(-0.622007\pi\) | ||||
−0.373980 | + | 0.927437i | \(0.622007\pi\) | |||||||
\(60\) | 0.769505 | + | 0.370574i | 0.0993427 | + | 0.0478409i | ||||
\(61\) | 6.77203 | − | 8.49186i | 0.867070 | − | 1.08727i | −0.128355 | − | 0.991728i | \(-0.540970\pi\) |
0.995425 | − | 0.0955431i | \(-0.0304588\pi\) | |||||||
\(62\) | −2.36805 | − | 2.96945i | −0.300743 | − | 0.377120i | ||||
\(63\) | −1.87900 | − | 0.904881i | −0.236732 | − | 0.114004i | ||||
\(64\) | −2.06216 | + | 0.993084i | −0.257770 | + | 0.124135i | ||||
\(65\) | −1.52914 | + | 1.91748i | −0.189666 | + | 0.237834i | ||||
\(66\) | 0.152970 | + | 0.670203i | 0.0188292 | + | 0.0824963i | ||||
\(67\) | −1.52478 | − | 6.68048i | −0.186281 | − | 0.816150i | −0.978555 | − | 0.205985i | \(-0.933960\pi\) |
0.792274 | − | 0.610165i | \(-0.208897\pi\) | |||||||
\(68\) | 1.82243 | + | 2.28525i | 0.221002 | + | 0.277127i | ||||
\(69\) | −1.49217 | + | 6.53760i | −0.179636 | + | 0.787035i | ||||
\(70\) | 3.52331 | 0.421117 | ||||||||
\(71\) | −3.53964 | + | 15.5082i | −0.420078 | + | 1.84048i | 0.111894 | + | 0.993720i | \(0.464308\pi\) |
−0.531972 | + | 0.846762i | \(0.678549\pi\) | |||||||
\(72\) | −1.74420 | + | 0.839960i | −0.205555 | + | 0.0989903i | ||||
\(73\) | −1.82409 | + | 0.878435i | −0.213493 | + | 0.102813i | −0.537574 | − | 0.843216i | \(-0.680659\pi\) |
0.324081 | + | 0.946029i | \(0.394945\pi\) | |||||||
\(74\) | −3.34422 | + | 14.6520i | −0.388758 | + | 1.70326i | ||||
\(75\) | 1.00000 | 0.115470 | ||||||||
\(76\) | −0.711088 | + | 3.11548i | −0.0815674 | + | 0.357370i | ||||
\(77\) | 0.529112 | + | 0.663486i | 0.0602979 | + | 0.0756112i | ||||
\(78\) | 0.921981 | + | 4.03946i | 0.104394 | + | 0.457379i | ||||
\(79\) | −1.89199 | − | 8.28936i | −0.212866 | − | 0.932626i | −0.962608 | − | 0.270897i | \(-0.912680\pi\) |
0.749743 | − | 0.661730i | \(-0.230177\pi\) | |||||||
\(80\) | 3.10417 | − | 3.89251i | 0.347057 | − | 0.435196i | ||||
\(81\) | −0.900969 | + | 0.433884i | −0.100108 | + | 0.0482093i | ||||
\(82\) | 4.10651 | + | 1.97759i | 0.453488 | + | 0.218388i | ||||
\(83\) | −5.77329 | − | 7.23947i | −0.633700 | − | 0.794635i | 0.356499 | − | 0.934296i | \(-0.383970\pi\) |
−0.990199 | + | 0.139661i | \(0.955399\pi\) | |||||||
\(84\) | 1.11058 | − | 1.39262i | 0.121174 | − | 0.151947i | ||||
\(85\) | 3.08339 | + | 1.48488i | 0.334440 | + | 0.161058i | ||||
\(86\) | −4.89804 | −0.528169 | ||||||||
\(87\) | −4.03733 | + | 3.56370i | −0.432847 | + | 0.382069i | ||||
\(88\) | 0.787745 | 0.0839739 | ||||||||
\(89\) | 4.72139 | + | 2.27370i | 0.500466 | + | 0.241012i | 0.667047 | − | 0.745016i | \(-0.267558\pi\) |
−0.166580 | + | 0.986028i | \(0.553272\pi\) | |||||||
\(90\) | 1.05333 | − | 1.32083i | 0.111030 | − | 0.139228i | ||||
\(91\) | 3.18907 | + | 3.99897i | 0.334306 | + | 0.419206i | ||||
\(92\) | −5.16009 | − | 2.48497i | −0.537977 | − | 0.259076i | ||||
\(93\) | −2.02553 | + | 0.975444i | −0.210038 | + | 0.101149i | ||||
\(94\) | 1.36238 | − | 1.70837i | 0.140519 | − | 0.176205i | ||||
\(95\) | 0.832571 | + | 3.64773i | 0.0854200 | + | 0.374249i | ||||
\(96\) | −1.01007 | − | 4.42542i | −0.103090 | − | 0.451668i | ||||
\(97\) | 4.28577 | + | 5.37418i | 0.435154 | + | 0.545666i | 0.950259 | − | 0.311462i | \(-0.100819\pi\) |
−0.515105 | + | 0.857127i | \(0.672247\pi\) | |||||||
\(98\) | −0.996410 | + | 4.36556i | −0.100653 | + | 0.440988i | ||||
\(99\) | 0.406912 | 0.0408962 | ||||||||
\(100\) | −0.190052 | + | 0.832673i | −0.0190052 | + | 0.0832673i | ||||
\(101\) | −15.0386 | + | 7.24220i | −1.49639 | + | 0.720626i | −0.989920 | − | 0.141629i | \(-0.954766\pi\) |
−0.506475 | + | 0.862255i | \(0.669052\pi\) | |||||||
\(102\) | 5.20909 | − | 2.50857i | 0.515777 | − | 0.248385i | ||||
\(103\) | 0.942869 | − | 4.13098i | 0.0929036 | − | 0.407037i | −0.906997 | − | 0.421137i | \(-0.861631\pi\) |
0.999901 | + | 0.0140998i | \(0.00448827\pi\) | |||||||
\(104\) | 4.74791 | 0.465571 | ||||||||
\(105\) | 0.464076 | − | 2.03325i | 0.0452891 | − | 0.198425i | ||||
\(106\) | −6.19641 | − | 7.77005i | −0.601849 | − | 0.754694i | ||||
\(107\) | −0.107615 | − | 0.471492i | −0.0104035 | − | 0.0455809i | 0.969460 | − | 0.245251i | \(-0.0788702\pi\) |
−0.979863 | + | 0.199670i | \(0.936013\pi\) | |||||||
\(108\) | −0.190052 | − | 0.832673i | −0.0182878 | − | 0.0801240i | ||||
\(109\) | 6.42482 | − | 8.05647i | 0.615386 | − | 0.771670i | −0.372301 | − | 0.928112i | \(-0.621431\pi\) |
0.987687 | + | 0.156442i | \(0.0500026\pi\) | |||||||
\(110\) | −0.619361 | + | 0.298268i | −0.0590537 | + | 0.0284388i | ||||
\(111\) | 8.01494 | + | 3.85979i | 0.760744 | + | 0.366355i | ||||
\(112\) | −6.47387 | − | 8.11798i | −0.611723 | − | 0.767077i | ||||
\(113\) | 3.65299 | − | 4.58070i | 0.343644 | − | 0.430916i | −0.579735 | − | 0.814805i | \(-0.696844\pi\) |
0.923379 | + | 0.383889i | \(0.125415\pi\) | |||||||
\(114\) | 5.69500 | + | 2.74257i | 0.533386 | + | 0.256865i | ||||
\(115\) | −6.70573 | −0.625313 | ||||||||
\(116\) | −2.20009 | − | 4.03906i | −0.204273 | − | 0.375018i | ||||
\(117\) | 2.45255 | 0.226738 | ||||||||
\(118\) | −8.74475 | − | 4.21125i | −0.805019 | − | 0.387677i | ||||
\(119\) | 4.45006 | − | 5.58020i | 0.407936 | − | 0.511536i | ||||
\(120\) | −1.20702 | − | 1.51356i | −0.110185 | − | 0.138168i | ||||
\(121\) | 9.76148 | + | 4.70088i | 0.887407 | + | 0.427353i | ||||
\(122\) | 16.5323 | − | 7.96153i | 1.49676 | − | 0.720803i | ||||
\(123\) | 1.68213 | − | 2.10932i | 0.151672 | − | 0.190191i | ||||
\(124\) | −0.427269 | − | 1.87199i | −0.0383699 | − | 0.168110i | ||||
\(125\) | 0.222521 | + | 0.974928i | 0.0199029 | + | 0.0872002i | ||||
\(126\) | −2.19675 | − | 2.75464i | −0.195702 | − | 0.245403i | ||||
\(127\) | 0.604087 | − | 2.64668i | 0.0536041 | − | 0.234855i | −0.941028 | − | 0.338328i | \(-0.890139\pi\) |
0.994632 | + | 0.103474i | \(0.0329957\pi\) | |||||||
\(128\) | −12.9452 | −1.14421 | ||||||||
\(129\) | −0.645148 | + | 2.82658i | −0.0568021 | + | 0.248866i | ||||
\(130\) | −3.73302 | + | 1.79773i | −0.327408 | + | 0.157671i | ||||
\(131\) | −9.80238 | + | 4.72058i | −0.856438 | + | 0.412439i | −0.809963 | − | 0.586481i | \(-0.800513\pi\) |
−0.0464745 | + | 0.998919i | \(0.514799\pi\) | |||||||
\(132\) | −0.0773345 | + | 0.338824i | −0.00673110 | + | 0.0294909i | ||||
\(133\) | 7.80312 | 0.676616 | ||||||||
\(134\) | 2.57596 | − | 11.2860i | 0.222529 | − | 0.974964i | ||||
\(135\) | −0.623490 | − | 0.781831i | −0.0536615 | − | 0.0672893i | ||||
\(136\) | −1.47426 | − | 6.45917i | −0.126417 | − | 0.553869i | ||||
\(137\) | 0.686178 | + | 3.00634i | 0.0586241 | + | 0.256849i | 0.995744 | − | 0.0921573i | \(-0.0293763\pi\) |
−0.937120 | + | 0.349006i | \(0.886519\pi\) | |||||||
\(138\) | −7.06332 | + | 8.85712i | −0.601270 | + | 0.753969i | ||||
\(139\) | 17.9210 | − | 8.63032i | 1.52004 | − | 0.732014i | 0.527011 | − | 0.849858i | \(-0.323313\pi\) |
0.993032 | + | 0.117844i | \(0.0375982\pi\) | |||||||
\(140\) | 1.60483 | + | 0.772846i | 0.135633 | + | 0.0653174i | ||||
\(141\) | −0.806425 | − | 1.01122i | −0.0679132 | − | 0.0851605i | ||||
\(142\) | −16.7553 | + | 21.0104i | −1.40607 | + | 1.76316i | ||||
\(143\) | −0.899141 | − | 0.433003i | −0.0751899 | − | 0.0362096i | ||||
\(144\) | −4.97871 | −0.414892 | ||||||||
\(145\) | −4.37274 | − | 3.14311i | −0.363136 | − | 0.261021i | ||||
\(146\) | −3.42034 | −0.283070 | ||||||||
\(147\) | 2.38805 | + | 1.15002i | 0.196963 | + | 0.0948524i | ||||
\(148\) | −4.73720 | + | 5.94026i | −0.389395 | + | 0.488286i | ||||
\(149\) | 7.93923 | + | 9.95548i | 0.650407 | + | 0.815585i | 0.992261 | − | 0.124168i | \(-0.0396263\pi\) |
−0.341854 | + | 0.939753i | \(0.611055\pi\) | |||||||
\(150\) | 1.52210 | + | 0.733005i | 0.124279 | + | 0.0598496i | ||||
\(151\) | 12.8020 | − | 6.16513i | 1.04181 | − | 0.501712i | 0.166893 | − | 0.985975i | \(-0.446627\pi\) |
0.874922 | + | 0.484264i | \(0.160912\pi\) | |||||||
\(152\) | 4.51612 | − | 5.66303i | 0.366305 | − | 0.459333i | ||||
\(153\) | −0.761534 | − | 3.33650i | −0.0615664 | − | 0.269740i | ||||
\(154\) | 0.319024 | + | 1.39773i | 0.0257077 | + | 0.112633i | ||||
\(155\) | −1.40171 | − | 1.75769i | −0.112588 | − | 0.141181i | ||||
\(156\) | −0.466112 | + | 2.04217i | −0.0373188 | + | 0.163504i | ||||
\(157\) | −15.9977 | −1.27675 | −0.638376 | − | 0.769725i | \(-0.720393\pi\) | ||||
−0.638376 | + | 0.769725i | \(0.720393\pi\) | |||||||
\(158\) | 3.19634 | − | 14.0041i | 0.254287 | − | 1.11411i | ||||
\(159\) | −5.30014 | + | 2.55241i | −0.420328 | + | 0.202419i | ||||
\(160\) | 4.08970 | − | 1.96950i | 0.323320 | − | 0.155702i | ||||
\(161\) | −3.11197 | + | 13.6344i | −0.245257 | + | 1.07454i | ||||
\(162\) | −1.68940 | −0.132732 | ||||||||
\(163\) | 3.17435 | − | 13.9077i | 0.248634 | − | 1.08934i | −0.684274 | − | 0.729225i | \(-0.739881\pi\) |
0.932908 | − | 0.360114i | \(-0.117262\pi\) | |||||||
\(164\) | 1.43668 | + | 1.80154i | 0.112186 | + | 0.140677i | ||||
\(165\) | 0.0905464 | + | 0.396710i | 0.00704903 | + | 0.0308838i | ||||
\(166\) | −3.48095 | − | 15.2510i | −0.270174 | − | 1.18371i | ||||
\(167\) | 3.56903 | − | 4.47542i | 0.276179 | − | 0.346318i | −0.624325 | − | 0.781165i | \(-0.714626\pi\) |
0.900505 | + | 0.434847i | \(0.143197\pi\) | |||||||
\(168\) | −3.63758 | + | 1.75177i | −0.280646 | + | 0.135152i | ||||
\(169\) | 6.29328 | + | 3.03068i | 0.484098 | + | 0.233129i | ||||
\(170\) | 3.60480 | + | 4.52028i | 0.276476 | + | 0.346690i | ||||
\(171\) | 2.33281 | − | 2.92525i | 0.178395 | − | 0.223700i | ||||
\(172\) | −2.23100 | − | 1.07439i | −0.170112 | − | 0.0819218i | ||||
\(173\) | −11.5217 | −0.875976 | −0.437988 | − | 0.898981i | \(-0.644309\pi\) | ||||
−0.437988 | + | 0.898981i | \(0.644309\pi\) | |||||||
\(174\) | −8.75743 | + | 2.46493i | −0.663899 | + | 0.186866i | ||||
\(175\) | 2.08554 | 0.157652 | ||||||||
\(176\) | 1.82527 | + | 0.879003i | 0.137585 | + | 0.0662574i | ||||
\(177\) | −3.58206 | + | 4.49177i | −0.269244 | + | 0.337622i | ||||
\(178\) | 5.51979 | + | 6.92160i | 0.413726 | + | 0.518796i | ||||
\(179\) | 14.4212 | + | 6.94489i | 1.07789 | + | 0.519086i | 0.886642 | − | 0.462456i | \(-0.153032\pi\) |
0.191250 | + | 0.981541i | \(0.438746\pi\) | |||||||
\(180\) | 0.769505 | − | 0.370574i | 0.0573555 | − | 0.0276210i | ||||
\(181\) | 2.79297 | − | 3.50227i | 0.207600 | − | 0.260322i | −0.667121 | − | 0.744950i | \(-0.732473\pi\) |
0.874721 | + | 0.484628i | \(0.161045\pi\) | |||||||
\(182\) | 1.92283 | + | 8.42445i | 0.142529 | + | 0.624462i | ||||
\(183\) | −2.41691 | − | 10.5892i | −0.178663 | − | 0.782774i | ||||
\(184\) | 8.09396 | + | 10.1495i | 0.596694 | + | 0.748231i | ||||
\(185\) | −1.97953 | + | 8.67287i | −0.145538 | + | 0.637642i | ||||
\(186\) | −3.79806 | −0.278488 | ||||||||
\(187\) | −0.309877 | + | 1.35766i | −0.0226605 | + | 0.0992820i | ||||
\(188\) | 0.995282 | − | 0.479303i | 0.0725884 | − | 0.0349567i | ||||
\(189\) | −1.87900 | + | 0.904881i | −0.136677 | + | 0.0658204i | ||||
\(190\) | −1.40655 | + | 6.16249i | −0.102042 | + | 0.447074i | ||||
\(191\) | 15.8959 | 1.15018 | 0.575092 | − | 0.818088i | \(-0.304966\pi\) | ||||
0.575092 | + | 0.818088i | \(0.304966\pi\) | |||||||
\(192\) | −0.509311 | + | 2.23144i | −0.0367564 | + | 0.161040i | ||||
\(193\) | −5.15989 | − | 6.47030i | −0.371417 | − | 0.465742i | 0.560637 | − | 0.828062i | \(-0.310556\pi\) |
−0.932054 | + | 0.362319i | \(0.881985\pi\) | |||||||
\(194\) | 2.58407 | + | 11.3215i | 0.185525 | + | 0.812839i | ||||
\(195\) | 0.545743 | + | 2.39106i | 0.0390815 | + | 0.171227i | ||||
\(196\) | −1.41145 | + | 1.76990i | −0.100818 | + | 0.126421i | ||||
\(197\) | 11.7277 | − | 5.64775i | 0.835562 | − | 0.402386i | 0.0333640 | − | 0.999443i | \(-0.489378\pi\) |
0.802198 | + | 0.597058i | \(0.203664\pi\) | |||||||
\(198\) | 0.619361 | + | 0.298268i | 0.0440161 | + | 0.0211970i | ||||
\(199\) | −0.0298772 | − | 0.0374648i | −0.00211794 | − | 0.00265581i | 0.780771 | − | 0.624817i | \(-0.214826\pi\) |
−0.782889 | + | 0.622161i | \(0.786255\pi\) | |||||||
\(200\) | 1.20702 | − | 1.51356i | 0.0853493 | − | 0.107025i | ||||
\(201\) | −6.17369 | − | 2.97309i | −0.435458 | − | 0.209706i | ||||
\(202\) | −28.1988 | −1.98406 | ||||||||
\(203\) | −8.42000 | + | 7.43223i | −0.590968 | + | 0.521640i | ||||
\(204\) | 2.92294 | 0.204647 | ||||||||
\(205\) | 2.43075 | + | 1.17059i | 0.169771 | + | 0.0817572i | ||||
\(206\) | 4.46317 | − | 5.59663i | 0.310964 | − | 0.389936i | ||||
\(207\) | 4.18095 | + | 5.24275i | 0.290596 | + | 0.364396i | ||||
\(208\) | 11.0013 | + | 5.29795i | 0.762803 | + | 0.367347i | ||||
\(209\) | −1.37170 | + | 0.660578i | −0.0948828 | + | 0.0456932i | ||||
\(210\) | 2.19675 | − | 2.75464i | 0.151590 | − | 0.190088i | ||||
\(211\) | 2.30234 | + | 10.0872i | 0.158500 | + | 0.694433i | 0.990252 | + | 0.139286i | \(0.0444807\pi\) |
−0.831752 | + | 0.555147i | \(0.812662\pi\) | |||||||
\(212\) | −1.11802 | − | 4.89837i | −0.0767860 | − | 0.336421i | ||||
\(213\) | 9.91785 | + | 12.4366i | 0.679560 | + | 0.852141i | ||||
\(214\) | 0.181805 | − | 0.796541i | 0.0124279 | − | 0.0544504i | ||||
\(215\) | −2.89927 | −0.197728 | ||||||||
\(216\) | −0.430781 | + | 1.88737i | −0.0293109 | + | 0.128420i | ||||
\(217\) | −4.22432 | + | 2.03432i | −0.286765 | + | 0.138099i | ||||
\(218\) | 15.6846 | − | 7.55333i | 1.06230 | − | 0.511576i | ||||
\(219\) | −0.450513 | + | 1.97382i | −0.0304428 | + | 0.133379i | ||||
\(220\) | −0.347538 | −0.0234310 | ||||||||
\(221\) | −1.86770 | + | 8.18292i | −0.125635 | + | 0.550443i | ||||
\(222\) | 9.37030 | + | 11.7500i | 0.628893 | + | 0.788607i | ||||
\(223\) | −1.83008 | − | 8.01809i | −0.122551 | − | 0.536931i | −0.998511 | − | 0.0545476i | \(-0.982628\pi\) |
0.875960 | − | 0.482383i | \(-0.160229\pi\) | |||||||
\(224\) | −2.10655 | − | 9.22938i | −0.140750 | − | 0.616664i | ||||
\(225\) | 0.623490 | − | 0.781831i | 0.0415660 | − | 0.0521221i | ||||
\(226\) | 8.91789 | − | 4.29463i | 0.593210 | − | 0.285675i | ||||
\(227\) | −13.5083 | − | 6.50525i | −0.896577 | − | 0.431769i | −0.0719255 | − | 0.997410i | \(-0.522914\pi\) |
−0.824651 | + | 0.565641i | \(0.808629\pi\) | |||||||
\(228\) | 1.99242 | + | 2.49842i | 0.131951 | + | 0.165462i | ||||
\(229\) | 5.14009 | − | 6.44547i | 0.339667 | − | 0.425929i | −0.582434 | − | 0.812878i | \(-0.697900\pi\) |
0.922101 | + | 0.386949i | \(0.126471\pi\) | |||||||
\(230\) | −10.2068 | − | 4.91533i | −0.673016 | − | 0.324107i | ||||
\(231\) | 0.848630 | 0.0558357 | ||||||||
\(232\) | 0.520717 | + | 10.4122i | 0.0341868 | + | 0.683594i | ||||
\(233\) | 18.2159 | 1.19336 | 0.596681 | − | 0.802479i | \(-0.296486\pi\) | ||||
0.596681 | + | 0.802479i | \(0.296486\pi\) | |||||||
\(234\) | 3.73302 | + | 1.79773i | 0.244035 | + | 0.117521i | ||||
\(235\) | 0.806425 | − | 1.01122i | 0.0526054 | − | 0.0659650i | ||||
\(236\) | −3.05939 | − | 3.83636i | −0.199149 | − | 0.249726i | ||||
\(237\) | −7.66052 | − | 3.68911i | −0.497604 | − | 0.239634i | ||||
\(238\) | 10.8637 | − | 5.23171i | 0.704192 | − | 0.339121i | ||||
\(239\) | 12.3322 | − | 15.4641i | 0.797705 | − | 1.00029i | −0.202076 | − | 0.979370i | \(-0.564769\pi\) |
0.999781 | − | 0.0209209i | \(-0.00665982\pi\) | |||||||
\(240\) | −1.10787 | − | 4.85388i | −0.0715125 | − | 0.313317i | ||||
\(241\) | 5.55013 | + | 24.3167i | 0.357515 | + | 1.56638i | 0.759361 | + | 0.650670i | \(0.225512\pi\) |
−0.401845 | + | 0.915708i | \(0.631631\pi\) | |||||||
\(242\) | 11.4122 | + | 14.3104i | 0.733603 | + | 0.919909i | ||||
\(243\) | −0.222521 | + | 0.974928i | −0.0142747 | + | 0.0625417i | ||||
\(244\) | 9.27666 | 0.593877 | ||||||||
\(245\) | −0.589800 | + | 2.58408i | −0.0376809 | + | 0.165091i | ||||
\(246\) | 4.10651 | − | 1.97759i | 0.261822 | − | 0.126087i | ||||
\(247\) | −8.26757 | + | 3.98145i | −0.526053 | + | 0.253334i | ||||
\(248\) | −0.968467 | + | 4.24313i | −0.0614977 | + | 0.269439i | ||||
\(249\) | −9.25963 | −0.586805 | ||||||||
\(250\) | −0.375928 | + | 1.64705i | −0.0237758 | + | 0.104168i | ||||
\(251\) | −10.1335 | − | 12.7071i | −0.639624 | − | 0.802063i | 0.351332 | − | 0.936251i | \(-0.385729\pi\) |
−0.990956 | + | 0.134188i | \(0.957157\pi\) | |||||||
\(252\) | −0.396361 | − | 1.73657i | −0.0249684 | − | 0.109394i | ||||
\(253\) | −0.607180 | − | 2.66023i | −0.0381731 | − | 0.167247i | ||||
\(254\) | 2.85951 | − | 3.58571i | 0.179422 | − | 0.224988i | ||||
\(255\) | 3.08339 | − | 1.48488i | 0.193089 | − | 0.0929869i | ||||
\(256\) | −15.5796 | − | 7.50274i | −0.973724 | − | 0.468921i | ||||
\(257\) | −12.6025 | − | 15.8031i | −0.786125 | − | 0.985769i | −0.999960 | − | 0.00889976i | \(-0.997167\pi\) |
0.213835 | − | 0.976870i | \(-0.431404\pi\) | |||||||
\(258\) | −3.05388 | + | 3.82944i | −0.190126 | + | 0.238410i | ||||
\(259\) | 16.7155 | + | 8.04974i | 1.03865 | + | 0.500186i | ||||
\(260\) | −2.09469 | −0.129907 | ||||||||
\(261\) | 0.268978 | + | 5.37844i | 0.0166493 | + | 0.332917i | ||||
\(262\) | −18.3804 | −1.13555 | ||||||||
\(263\) | −26.4307 | − | 12.7284i | −1.62979 | − | 0.784865i | −0.999967 | − | 0.00812489i | \(-0.997414\pi\) |
−0.629822 | − | 0.776740i | \(-0.716872\pi\) | |||||||
\(264\) | 0.491151 | − | 0.615884i | 0.0302283 | − | 0.0379050i | ||||
\(265\) | −3.66781 | − | 4.59929i | −0.225312 | − | 0.282532i | ||||
\(266\) | 11.8771 | + | 5.71973i | 0.728234 | + | 0.350699i | ||||
\(267\) | 4.72139 | − | 2.27370i | 0.288944 | − | 0.139148i | ||||
\(268\) | 3.64894 | − | 4.57562i | 0.222894 | − | 0.279500i | ||||
\(269\) | 2.16053 | + | 9.46589i | 0.131730 | + | 0.577145i | 0.997106 | + | 0.0760229i | \(0.0242222\pi\) |
−0.865376 | + | 0.501122i | \(0.832921\pi\) | |||||||
\(270\) | −0.375928 | − | 1.64705i | −0.0228782 | − | 0.100236i | ||||
\(271\) | 14.4684 | + | 18.1428i | 0.878893 | + | 1.10210i | 0.994069 | + | 0.108752i | \(0.0346853\pi\) |
−0.115176 | + | 0.993345i | \(0.536743\pi\) | |||||||
\(272\) | 3.79146 | − | 16.6115i | 0.229891 | − | 1.00722i | ||||
\(273\) | 5.11488 | 0.309567 | ||||||||
\(274\) | −1.15923 | + | 5.07893i | −0.0700318 | + | 0.306829i | ||||
\(275\) | −0.366615 | + | 0.176552i | −0.0221077 | + | 0.0106465i | ||||
\(276\) | −5.16009 | + | 2.48497i | −0.310601 | + | 0.149578i | ||||
\(277\) | −0.529197 | + | 2.31856i | −0.0317964 | + | 0.139309i | −0.988335 | − | 0.152298i | \(-0.951333\pi\) |
0.956538 | + | 0.291607i | \(0.0941899\pi\) | |||||||
\(278\) | 33.6037 | 2.01542 | ||||||||
\(279\) | −0.500264 | + | 2.19180i | −0.0299500 | + | 0.131220i | ||||
\(280\) | −2.51729 | − | 3.15658i | −0.150437 | − | 0.188642i | ||||
\(281\) | 4.07500 | + | 17.8537i | 0.243094 | + | 1.06506i | 0.938183 | + | 0.346141i | \(0.112508\pi\) |
−0.695089 | + | 0.718924i | \(0.744635\pi\) | |||||||
\(282\) | −0.486227 | − | 2.13030i | −0.0289544 | − | 0.126857i | ||||
\(283\) | −4.13872 | + | 5.18979i | −0.246021 | + | 0.308501i | −0.889475 | − | 0.456984i | \(-0.848930\pi\) |
0.643454 | + | 0.765485i | \(0.277501\pi\) | |||||||
\(284\) | −12.2405 | + | 5.89472i | −0.726341 | + | 0.349788i | ||||
\(285\) | 3.37101 | + | 1.62339i | 0.199681 | + | 0.0961615i | ||||
\(286\) | −1.05119 | − | 1.31815i | −0.0621581 | − | 0.0779438i | ||||
\(287\) | 3.50814 | − | 4.39907i | 0.207079 | − | 0.259669i | ||||
\(288\) | −4.08970 | − | 1.96950i | −0.240988 | − | 0.116054i | ||||
\(289\) | −5.28784 | −0.311049 | ||||||||
\(290\) | −4.35184 | − | 7.98937i | −0.255549 | − | 0.469152i | ||||
\(291\) | 6.87384 | 0.402951 | ||||||||
\(292\) | −1.55793 | − | 0.750259i | −0.0911709 | − | 0.0439056i | ||||
\(293\) | 10.3504 | − | 12.9790i | 0.604677 | − | 0.758241i | −0.381422 | − | 0.924401i | \(-0.624565\pi\) |
0.986099 | + | 0.166160i | \(0.0531368\pi\) | |||||||
\(294\) | 2.79188 | + | 3.50091i | 0.162826 | + | 0.204177i | ||||
\(295\) | −5.17623 | − | 2.49274i | −0.301372 | − | 0.145133i | ||||
\(296\) | 15.5162 | − | 7.47221i | 0.901861 | − | 0.434314i | ||||
\(297\) | 0.253705 | − | 0.318137i | 0.0147215 | − | 0.0184602i | ||||
\(298\) | 4.78689 | + | 20.9727i | 0.277297 | + | 1.21492i | ||||
\(299\) | −3.65961 | − | 16.0338i | −0.211640 | − | 0.927258i | ||||
\(300\) | 0.532514 | + | 0.667752i | 0.0307447 | + | 0.0385527i | ||||
\(301\) | −1.34548 | + | 5.89493i | −0.0775522 | + | 0.339778i | ||||
\(302\) | 24.0051 | 1.38134 | ||||||||
\(303\) | −3.71422 | + | 16.2731i | −0.213377 | + | 0.934864i | ||||
\(304\) | 16.7833 | − | 8.08240i | 0.962588 | − | 0.463558i | ||||
\(305\) | 9.78587 | − | 4.71263i | 0.560337 | − | 0.269844i | ||||
\(306\) | 1.28654 | − | 5.63670i | 0.0735465 | − | 0.322228i | ||||
\(307\) | −19.4590 | −1.11058 | −0.555292 | − | 0.831655i | \(-0.687394\pi\) | ||||
−0.555292 | + | 0.831655i | \(0.687394\pi\) | |||||||
\(308\) | −0.161284 | + | 0.706631i | −0.00919000 | + | 0.0402640i | ||||
\(309\) | −2.64186 | − | 3.31279i | −0.150290 | − | 0.188458i | ||||
\(310\) | −0.845149 | − | 3.70284i | −0.0480012 | − | 0.210307i | ||||
\(311\) | −7.01942 | − | 30.7541i | −0.398035 | − | 1.74390i | −0.635119 | − | 0.772415i | \(-0.719049\pi\) |
0.237084 | − | 0.971489i | \(-0.423808\pi\) | |||||||
\(312\) | 2.96028 | − | 3.71207i | 0.167593 | − | 0.210155i | ||||
\(313\) | 7.44324 | − | 3.58448i | 0.420717 | − | 0.202607i | −0.211533 | − | 0.977371i | \(-0.567846\pi\) |
0.632250 | + | 0.774764i | \(0.282131\pi\) | |||||||
\(314\) | −24.3500 | − | 11.7264i | −1.37415 | − | 0.661757i | ||||
\(315\) | −1.30031 | − | 1.63054i | −0.0732642 | − | 0.0918704i | ||||
\(316\) | 4.52772 | − | 5.67759i | 0.254704 | − | 0.319389i | ||||
\(317\) | −2.49258 | − | 1.20036i | −0.139997 | − | 0.0674190i | 0.362574 | − | 0.931955i | \(-0.381898\pi\) |
−0.502571 | + | 0.864536i | \(0.667612\pi\) | |||||||
\(318\) | −9.93827 | −0.557311 | ||||||||
\(319\) | 0.850966 | − | 2.01931i | 0.0476450 | − | 0.113059i | ||||
\(320\) | −2.28882 | −0.127949 | ||||||||
\(321\) | −0.435724 | − | 0.209834i | −0.0243197 | − | 0.0117118i | ||||
\(322\) | −14.7308 | + | 18.4719i | −0.820916 | + | 1.02940i | ||||
\(323\) | 7.98359 | + | 10.0111i | 0.444219 | + | 0.557033i | ||||
\(324\) | −0.769505 | − | 0.370574i | −0.0427503 | − | 0.0205875i | ||||
\(325\) | −2.20967 | + | 1.06412i | −0.122570 | + | 0.0590268i | ||||
\(326\) | 15.0261 | − | 18.8422i | 0.832220 | − | 1.04357i | ||||
\(327\) | −2.29299 | − | 10.0463i | −0.126803 | − | 0.555559i | ||||
\(328\) | −1.16221 | − | 5.09199i | −0.0641725 | − | 0.281158i | ||||
\(329\) | −1.68183 | − | 2.10895i | −0.0927222 | − | 0.116270i | ||||
\(330\) | −0.152970 | + | 0.670203i | −0.00842069 | + | 0.0368935i | ||||
\(331\) | 24.7576 | 1.36080 | 0.680401 | − | 0.732840i | \(-0.261806\pi\) | ||||
0.680401 | + | 0.732840i | \(0.261806\pi\) | |||||||
\(332\) | 1.75981 | − | 7.71024i | 0.0965823 | − | 0.423155i | ||||
\(333\) | 8.01494 | − | 3.85979i | 0.439216 | − | 0.211515i | ||||
\(334\) | 8.71292 | − | 4.19592i | 0.476750 | − | 0.229591i | ||||
\(335\) | 1.52478 | − | 6.68048i | 0.0833074 | − | 0.364993i | ||||
\(336\) | −10.3833 | −0.566454 | ||||||||
\(337\) | 0.334694 | − | 1.46639i | 0.0182319 | − | 0.0798794i | −0.964993 | − | 0.262274i | \(-0.915528\pi\) |
0.983225 | + | 0.182394i | \(0.0583848\pi\) | |||||||
\(338\) | 7.35749 | + | 9.22601i | 0.400195 | + | 0.501829i | ||||
\(339\) | −1.30374 | − | 5.71204i | −0.0708093 | − | 0.310236i | ||||
\(340\) | 0.650416 | + | 2.84966i | 0.0352738 | + | 0.154544i | ||||
\(341\) | 0.570372 | − | 0.715224i | 0.0308874 | − | 0.0387316i | ||||
\(342\) | 5.69500 | − | 2.74257i | 0.307950 | − | 0.148301i | ||||
\(343\) | 18.1334 | + | 8.73258i | 0.979111 | + | 0.471515i | ||||
\(344\) | 3.49948 | + | 4.38821i | 0.188679 | + | 0.236596i | ||||
\(345\) | −4.18095 | + | 5.24275i | −0.225095 | + | 0.282260i | ||||
\(346\) | −17.5371 | − | 8.44544i | −0.942803 | − | 0.454030i | ||||
\(347\) | −21.5136 | −1.15491 | −0.577456 | − | 0.816422i | \(-0.695954\pi\) | ||||
−0.577456 | + | 0.816422i | \(0.695954\pi\) | |||||||
\(348\) | −4.52960 | − | 0.798214i | −0.242812 | − | 0.0427888i | ||||
\(349\) | −29.3357 | −1.57031 | −0.785153 | − | 0.619302i | \(-0.787416\pi\) | ||||
−0.785153 | + | 0.619302i | \(0.787416\pi\) | |||||||
\(350\) | 3.17440 | + | 1.52871i | 0.169679 | + | 0.0817129i | ||||
\(351\) | 1.52914 | − | 1.91748i | 0.0816194 | − | 0.102347i | ||||
\(352\) | 1.15163 | + | 1.44410i | 0.0613819 | + | 0.0769705i | ||||
\(353\) | −6.71470 | − | 3.23363i | −0.357387 | − | 0.172109i | 0.246571 | − | 0.969125i | \(-0.420696\pi\) |
−0.603958 | + | 0.797016i | \(0.706411\pi\) | |||||||
\(354\) | −8.74475 | + | 4.21125i | −0.464778 | + | 0.223825i | ||||
\(355\) | −9.91785 | + | 12.4366i | −0.526385 | + | 0.660066i | ||||
\(356\) | 0.995939 | + | 4.36349i | 0.0527847 | + | 0.231265i | ||||
\(357\) | −1.58821 | − | 6.95839i | −0.0840569 | − | 0.368277i | ||||
\(358\) | 16.8599 | + | 21.1416i | 0.891074 | + | 1.11737i | ||||
\(359\) | 5.11645 | − | 22.4166i | 0.270036 | − | 1.18310i | −0.639934 | − | 0.768430i | \(-0.721038\pi\) |
0.909970 | − | 0.414675i | \(-0.136105\pi\) | |||||||
\(360\) | −1.93591 | −0.102031 | ||||||||
\(361\) | 1.11280 | − | 4.87549i | 0.0585684 | − | 0.256605i | ||||
\(362\) | 6.81837 | − | 3.28355i | 0.358365 | − | 0.172580i | ||||
\(363\) | 9.76148 | − | 4.70088i | 0.512345 | − | 0.246732i | ||||
\(364\) | −0.972094 | + | 4.25902i | −0.0509515 | + | 0.223233i | ||||
\(365\) | −2.02458 | −0.105972 | ||||||||
\(366\) | 4.08314 | − | 17.8894i | 0.213429 | − | 0.935094i | ||||
\(367\) | 11.4249 | + | 14.3264i | 0.596376 | + | 0.747832i | 0.984808 | − | 0.173646i | \(-0.0555547\pi\) |
−0.388432 | + | 0.921477i | \(0.626983\pi\) | |||||||
\(368\) | 7.42906 | + | 32.5488i | 0.387266 | + | 1.69672i | ||||
\(369\) | −0.600345 | − | 2.63028i | −0.0312527 | − | 0.136927i | ||||
\(370\) | −9.37030 | + | 11.7500i | −0.487139 | + | 0.610852i | ||||
\(371\) | −11.0536 | + | 5.32315i | −0.573876 | + | 0.276364i | ||||
\(372\) | −1.72998 | − | 0.833113i | −0.0896951 | − | 0.0431949i | ||||
\(373\) | −8.30711 | − | 10.4168i | −0.430126 | − | 0.539361i | 0.518785 | − | 0.854905i | \(-0.326384\pi\) |
−0.948911 | + | 0.315544i | \(0.897813\pi\) | |||||||
\(374\) | −1.46684 | + | 1.83936i | −0.0758483 | + | 0.0951108i | ||||
\(375\) | 0.900969 | + | 0.433884i | 0.0465258 | + | 0.0224057i | ||||
\(376\) | −2.50392 | −0.129130 | ||||||||
\(377\) | 5.12896 | − | 12.1708i | 0.264155 | − | 0.626828i | ||||
\(378\) | −3.52331 | −0.181220 | ||||||||
\(379\) | −30.4188 | − | 14.6489i | −1.56251 | − | 0.752465i | −0.565143 | − | 0.824993i | \(-0.691179\pi\) |
−0.997366 | + | 0.0725281i | \(0.976893\pi\) | |||||||
\(380\) | −1.99242 | + | 2.49842i | −0.102209 | + | 0.128166i | ||||
\(381\) | −1.69261 | − | 2.12247i | −0.0867153 | − | 0.108737i | ||||
\(382\) | 24.1951 | + | 11.6518i | 1.23793 | + | 0.596156i | ||||
\(383\) | −7.49918 | + | 3.61141i | −0.383190 | + | 0.184535i | −0.615555 | − | 0.788094i | \(-0.711068\pi\) |
0.232365 | + | 0.972629i | \(0.425354\pi\) | |||||||
\(384\) | −8.07121 | + | 10.1210i | −0.411882 | + | 0.516484i | ||||
\(385\) | 0.188838 | + | 0.827353i | 0.00962407 | + | 0.0421658i | ||||
\(386\) | −3.11111 | − | 13.6307i | −0.158351 | − | 0.693783i | ||||
\(387\) | 1.80766 | + | 2.26674i | 0.0918887 | + | 0.115225i | ||||
\(388\) | −1.30639 | + | 5.72366i | −0.0663218 | + | 0.290575i | ||||
\(389\) | −25.1648 | −1.27591 | −0.637953 | − | 0.770075i | \(-0.720219\pi\) | ||||
−0.637953 | + | 0.770075i | \(0.720219\pi\) | |||||||
\(390\) | −0.921981 | + | 4.03946i | −0.0466863 | + | 0.204546i | ||||
\(391\) | −20.6764 | + | 9.95722i | −1.04565 | + | 0.503558i | ||||
\(392\) | 4.62305 | − | 2.22635i | 0.233499 | − | 0.112447i | ||||
\(393\) | −2.42099 | + | 10.6070i | −0.122123 | + | 0.535054i | ||||
\(394\) | 21.9905 | 1.10787 | ||||||||
\(395\) | 1.89199 | − | 8.28936i | 0.0951965 | − | 0.417083i | ||||
\(396\) | 0.216686 | + | 0.271716i | 0.0108889 | + | 0.0136542i | ||||
\(397\) | 6.12692 | + | 26.8438i | 0.307501 | + | 1.34725i | 0.858530 | + | 0.512764i | \(0.171378\pi\) |
−0.551029 | + | 0.834486i | \(0.685764\pi\) | |||||||
\(398\) | −0.0180142 | − | 0.0789253i | −0.000902970 | − | 0.00395617i | ||||
\(399\) | 4.86517 | − | 6.10073i | 0.243563 | − | 0.305418i | ||||
\(400\) | 4.48566 | − | 2.16018i | 0.224283 | − | 0.108009i | ||||
\(401\) | −1.89422 | − | 0.912211i | −0.0945931 | − | 0.0455536i | 0.385989 | − | 0.922503i | \(-0.373860\pi\) |
−0.480582 | + | 0.876950i | \(0.659575\pi\) | |||||||
\(402\) | −7.21768 | − | 9.05069i | −0.359985 | − | 0.451407i | ||||
\(403\) | 3.43776 | − | 4.31081i | 0.171247 | − | 0.214737i | ||||
\(404\) | −12.8442 | − | 6.18546i | −0.639025 | − | 0.307738i | ||||
\(405\) | −1.00000 | −0.0496904 | ||||||||
\(406\) | −18.2640 | + | 5.14069i | −0.906425 | + | 0.255128i | ||||
\(407\) | −3.61985 | −0.179429 | ||||||||
\(408\) | −5.96917 | − | 2.87460i | −0.295518 | − | 0.142314i | ||||
\(409\) | −20.2670 | + | 25.4140i | −1.00214 | + | 1.25664i | −0.0358010 | + | 0.999359i | \(0.511398\pi\) |
−0.966336 | + | 0.257282i | \(0.917173\pi\) | |||||||
\(410\) | 2.84179 | + | 3.56350i | 0.140346 | + | 0.175989i | ||||
\(411\) | 2.77828 | + | 1.33795i | 0.137042 | + | 0.0659961i | ||||
\(412\) | 3.26056 | − | 1.57020i | 0.160636 | − | 0.0773583i | ||||
\(413\) | −7.47053 | + | 9.36774i | −0.367601 | + | 0.460957i | ||||
\(414\) | 2.52087 | + | 11.0447i | 0.123894 | + | 0.542815i | ||||
\(415\) | −2.06046 | − | 9.02747i | −0.101144 | − | 0.443141i | ||||
\(416\) | 6.94111 | + | 8.70388i | 0.340316 | + | 0.426743i | ||||
\(417\) | 4.42613 | − | 19.3922i | 0.216749 | − | 0.949638i | ||||
\(418\) | −2.57208 | −0.125805 | ||||||||
\(419\) | 4.05522 | − | 17.7671i | 0.198111 | − | 0.867979i | −0.773950 | − | 0.633247i | \(-0.781722\pi\) |
0.972060 | − | 0.234732i | \(-0.0754212\pi\) | |||||||
\(420\) | 1.60483 | − | 0.772846i | 0.0783078 | − | 0.0377110i | ||||
\(421\) | −8.60365 | + | 4.14330i | −0.419316 | + | 0.201932i | −0.631631 | − | 0.775269i | \(-0.717614\pi\) |
0.212315 | + | 0.977201i | \(0.431900\pi\) | |||||||
\(422\) | −3.88959 | + | 17.0414i | −0.189342 | + | 0.829562i | ||||
\(423\) | −1.29341 | −0.0628875 | ||||||||
\(424\) | −2.53416 | + | 11.1029i | −0.123070 | + | 0.539203i | ||||
\(425\) | 2.13377 | + | 2.67566i | 0.103503 | + | 0.129789i | ||||
\(426\) | 5.97988 | + | 26.1996i | 0.289726 | + | 1.26937i | ||||
\(427\) | −5.04056 | − | 22.0841i | −0.243930 | − | 1.06873i | ||||
\(428\) | 0.257533 | − | 0.322936i | 0.0124483 | − | 0.0156097i | ||||
\(429\) | −0.899141 | + | 0.433003i | −0.0434109 | + | 0.0209056i | ||||
\(430\) | −4.41298 | − | 2.12518i | −0.212813 | − | 0.102485i | ||||
\(431\) | 0.274387 | + | 0.344070i | 0.0132168 | + | 0.0165733i | 0.788396 | − | 0.615168i | \(-0.210912\pi\) |
−0.775179 | + | 0.631741i | \(0.782340\pi\) | |||||||
\(432\) | −3.10417 | + | 3.89251i | −0.149350 | + | 0.187279i | ||||
\(433\) | −7.77473 | − | 3.74411i | −0.373630 | − | 0.179931i | 0.237639 | − | 0.971353i | \(-0.423626\pi\) |
−0.611269 | + | 0.791423i | \(0.709341\pi\) | |||||||
\(434\) | −7.92100 | −0.380220 | ||||||||
\(435\) | −5.18374 | + | 1.45905i | −0.248541 | + | 0.0699561i | ||||
\(436\) | 8.80103 | 0.421493 | ||||||||
\(437\) | −22.6051 | − | 10.8860i | −1.08135 | − | 0.520750i | ||||
\(438\) | −2.13255 | + | 2.67413i | −0.101897 | + | 0.127775i | ||||
\(439\) | −13.7559 | − | 17.2494i | −0.656535 | − | 0.823269i | 0.336426 | − | 0.941710i | \(-0.390782\pi\) |
−0.992961 | + | 0.118441i | \(0.962210\pi\) | |||||||
\(440\) | 0.709734 | + | 0.341790i | 0.0338352 | + | 0.0162942i | ||||
\(441\) | 2.38805 | − | 1.15002i | 0.113717 | − | 0.0547631i | ||||
\(442\) | −8.84095 | + | 11.0862i | −0.420521 | + | 0.527317i | ||||
\(443\) | 4.72187 | + | 20.6879i | 0.224343 | + | 0.982910i | 0.954167 | + | 0.299275i | \(0.0967448\pi\) |
−0.729824 | + | 0.683635i | \(0.760398\pi\) | |||||||
\(444\) | 1.69069 | + | 7.40738i | 0.0802364 | + | 0.351539i | ||||
\(445\) | 3.26730 | + | 4.09707i | 0.154885 | + | 0.194220i | ||||
\(446\) | 3.09174 | − | 13.5458i | 0.146398 | − | 0.641412i | ||||
\(447\) | 12.7335 | 0.602276 | ||||||||
\(448\) | −1.06219 | + | 4.65375i | −0.0501836 | + | 0.219869i | ||||
\(449\) | −2.05100 | + | 0.987708i | −0.0967926 | + | 0.0466128i | −0.481654 | − | 0.876362i | \(-0.659964\pi\) |
0.384861 | + | 0.922975i | \(0.374249\pi\) | |||||||
\(450\) | 1.52210 | − | 0.733005i | 0.0717525 | − | 0.0345542i | ||||
\(451\) | −0.244287 | + | 1.07029i | −0.0115030 | + | 0.0503981i | ||||
\(452\) | 5.00404 | 0.235370 | ||||||||
\(453\) | 3.16184 | − | 13.8529i | 0.148556 | − | 0.650868i | ||||
\(454\) | −15.7926 | − | 19.8033i | −0.741183 | − | 0.929415i | ||||
\(455\) | 1.13817 | + | 4.98664i | 0.0533581 | + | 0.233777i | ||||
\(456\) | −1.61178 | − | 7.06169i | −0.0754787 | − | 0.330694i | ||||
\(457\) | 4.65659 | − | 5.83918i | 0.217826 | − | 0.273145i | −0.660897 | − | 0.750476i | \(-0.729824\pi\) |
0.878724 | + | 0.477331i | \(0.158396\pi\) | |||||||
\(458\) | 12.5483 | − | 6.04295i | 0.586344 | − | 0.282368i | ||||
\(459\) | −3.08339 | − | 1.48488i | −0.143920 | − | 0.0693083i | ||||
\(460\) | −3.57090 | − | 4.47776i | −0.166494 | − | 0.208777i | ||||
\(461\) | −13.5144 | + | 16.9466i | −0.629430 | + | 0.789280i | −0.989637 | − | 0.143592i | \(-0.954135\pi\) |
0.360207 | + | 0.932872i | \(0.382706\pi\) | |||||||
\(462\) | 1.29170 | + | 0.622050i | 0.0600953 | + | 0.0289404i | ||||
\(463\) | −27.7149 | −1.28802 | −0.644011 | − | 0.765017i | \(-0.722731\pi\) | ||||
−0.644011 | + | 0.765017i | \(0.722731\pi\) | |||||||
\(464\) | −10.4119 | + | 24.7069i | −0.483359 | + | 1.14699i | ||||
\(465\) | −2.24817 | −0.104256 | ||||||||
\(466\) | 27.7264 | + | 13.3523i | 1.28440 | + | 0.618534i | ||||
\(467\) | 14.2936 | − | 17.9236i | 0.661429 | − | 0.829406i | −0.332069 | − | 0.943255i | \(-0.607747\pi\) |
0.993498 | + | 0.113849i | \(0.0363180\pi\) | |||||||
\(468\) | 1.30602 | + | 1.63769i | 0.0603706 | + | 0.0757024i | ||||
\(469\) | −12.8755 | − | 6.20049i | −0.594533 | − | 0.286312i | ||||
\(470\) | 1.96869 | − | 0.948072i | 0.0908090 | − | 0.0437313i | ||||
\(471\) | −9.97437 | + | 12.5075i | −0.459595 | + | 0.576314i | ||||
\(472\) | 2.47491 | + | 10.8433i | 0.113917 | + | 0.499104i | ||||
\(473\) | −0.262518 | − | 1.15017i | −0.0120706 | − | 0.0528848i | ||||
\(474\) | −8.95595 | − | 11.2304i | −0.411360 | − | 0.515830i | ||||
\(475\) | −0.832571 | + | 3.64773i | −0.0382010 | + | 0.167369i | ||||
\(476\) | 6.09591 | 0.279405 | ||||||||
\(477\) | −1.30903 | + | 5.73522i | −0.0599362 | + | 0.262598i | ||||
\(478\) | 30.1062 | − | 14.4984i | 1.37702 | − | 0.663140i | ||||
\(479\) | −16.9688 | + | 8.17175i | −0.775324 | + | 0.373377i | −0.779329 | − | 0.626615i | \(-0.784440\pi\) |
0.00400419 | + | 0.999992i | \(0.498725\pi\) | |||||||
\(480\) | 1.01007 | − | 4.42542i | 0.0461033 | − | 0.201992i | ||||
\(481\) | −21.8176 | −0.994799 | ||||||||
\(482\) | −9.37642 | + | 41.0808i | −0.427084 | + | 1.87118i | ||||
\(483\) | 8.71953 | + | 10.9339i | 0.396753 | + | 0.497512i | ||||
\(484\) | 2.05911 | + | 9.02153i | 0.0935957 | + | 0.410069i | ||||
\(485\) | 1.52957 | + | 6.70150i | 0.0694543 | + | 0.304299i | ||||
\(486\) | −1.05333 | + | 1.32083i | −0.0477799 | + | 0.0599140i | ||||
\(487\) | 16.2589 | − | 7.82988i | 0.736761 | − | 0.354806i | −0.0275781 | − | 0.999620i | \(-0.508779\pi\) |
0.764339 | + | 0.644814i | \(0.223065\pi\) | |||||||
\(488\) | −18.9446 | − | 9.12323i | −0.857581 | − | 0.412989i | ||||
\(489\) | −8.89434 | − | 11.1531i | −0.402216 | − | 0.504363i | ||||
\(490\) | −2.79188 | + | 3.50091i | −0.126124 | + | 0.158155i | ||||
\(491\) | 33.2962 | + | 16.0346i | 1.50264 | + | 0.723632i | 0.990785 | − | 0.135441i | \(-0.0432452\pi\) |
0.511852 | + | 0.859073i | \(0.328959\pi\) | |||||||
\(492\) | 2.30426 | 0.103884 | ||||||||
\(493\) | −18.1500 | − | 3.19842i | −0.817435 | − | 0.144050i | ||||
\(494\) | −15.5025 | −0.697490 | ||||||||
\(495\) | 0.366615 | + | 0.176552i | 0.0164781 | + | 0.00793544i | ||||
\(496\) | −6.97871 | + | 8.75102i | −0.313353 | + | 0.392932i | ||||
\(497\) | 20.6840 | + | 25.9370i | 0.927806 | + | 1.16343i | ||||
\(498\) | −14.0941 | − | 6.78736i | −0.631571 | − | 0.304149i | ||||
\(499\) | 0.201946 | − | 0.0972521i | 0.00904035 | − | 0.00435360i | −0.429358 | − | 0.903134i | \(-0.641260\pi\) |
0.438398 | + | 0.898781i | \(0.355546\pi\) | |||||||
\(500\) | −0.532514 | + | 0.667752i | −0.0238148 | + | 0.0298628i | ||||
\(501\) | −1.27377 | − | 5.58075i | −0.0569079 | − | 0.249330i | ||||
\(502\) | −6.10993 | − | 26.7694i | −0.272700 | − | 1.19478i | ||||
\(503\) | −24.4571 | − | 30.6682i | −1.09049 | − | 1.36743i | −0.924448 | − | 0.381308i | \(-0.875474\pi\) |
−0.166039 | − | 0.986119i | \(-0.553098\pi\) | |||||||
\(504\) | −0.898409 | + | 3.93619i | −0.0400183 | + | 0.175332i | ||||
\(505\) | −16.6916 | −0.742765 | ||||||||
\(506\) | 1.02577 | − | 4.49420i | 0.0456011 | − | 0.199792i | ||||
\(507\) | 6.29328 | − | 3.03068i | 0.279494 | − | 0.134597i | ||||
\(508\) | 2.08901 | − | 1.00601i | 0.0926848 | − | 0.0446346i | ||||
\(509\) | −4.95127 | + | 21.6929i | −0.219461 | + | 0.961522i | 0.738416 | + | 0.674345i | \(0.235574\pi\) |
−0.957877 | + | 0.287177i | \(0.907283\pi\) | |||||||
\(510\) | 5.78165 | 0.256016 | ||||||||
\(511\) | −0.939561 | + | 4.11648i | −0.0415637 | + | 0.182103i | ||||
\(512\) | −2.07175 | − | 2.59789i | −0.0915593 | − | 0.114812i | ||||
\(513\) | −0.832571 | − | 3.64773i | −0.0367589 | − | 0.161051i | ||||
\(514\) | −7.59859 | − | 33.2916i | −0.335160 | − | 1.46843i | ||||
\(515\) | 2.64186 | − | 3.31279i | 0.116414 | − | 0.145979i | ||||
\(516\) | −2.23100 | + | 1.07439i | −0.0982144 | + | 0.0472976i | ||||
\(517\) | 0.474182 | + | 0.228354i | 0.0208545 | + | 0.0100430i | ||||
\(518\) | 19.5421 | + | 24.5050i | 0.858631 | + | 1.07669i | ||||
\(519\) | −7.18364 | + | 9.00801i | −0.315327 | + | 0.395408i | ||||
\(520\) | 4.27772 | + | 2.06004i | 0.187591 | + | 0.0903389i | ||||
\(521\) | 2.14413 | 0.0939360 | 0.0469680 | − | 0.998896i | \(-0.485044\pi\) | ||||
0.0469680 | + | 0.998896i | \(0.485044\pi\) | |||||||
\(522\) | −3.53301 | + | 8.38369i | −0.154636 | + | 0.366944i | ||||
\(523\) | 35.1915 | 1.53882 | 0.769409 | − | 0.638756i | \(-0.220551\pi\) | ||||
0.769409 | + | 0.638756i | \(0.220551\pi\) | |||||||
\(524\) | −8.37208 | − | 4.03178i | −0.365736 | − | 0.176129i | ||||
\(525\) | 1.30031 | − | 1.63054i | 0.0567502 | − | 0.0711625i | ||||
\(526\) | −30.9003 | − | 38.7477i | −1.34732 | − | 1.68948i | ||||
\(527\) | −6.93198 | − | 3.33826i | −0.301962 | − | 0.145417i | ||||
\(528\) | 1.82527 | − | 0.879003i | 0.0794347 | − | 0.0382537i | ||||
\(529\) | 13.6961 | − | 17.1743i | 0.595482 | − | 0.746711i | ||||
\(530\) | −2.21147 | − | 9.68910i | −0.0960603 | − | 0.420868i | ||||
\(531\) | 1.27842 | + | 5.60114i | 0.0554789 | + | 0.243069i | ||||
\(532\) | 4.15527 | + | 5.21055i | 0.180154 | + | 0.225906i | ||||
\(533\) | −1.47237 | + | 6.45089i | −0.0637756 | + | 0.279419i | ||||
\(534\) | 8.85306 | 0.383110 | ||||||||
\(535\) | 0.107615 | − | 0.471492i | 0.00465260 | − | 0.0203844i | ||||
\(536\) | −11.9517 | + | 5.75564i | −0.516235 | + | 0.248606i | ||||
\(537\) | 14.4212 | − | 6.94489i | 0.622321 | − | 0.299694i | ||||
\(538\) | −3.65000 | + | 15.9917i | −0.157363 | + | 0.689451i | ||||
\(539\) | −1.07853 | −0.0464558 | ||||||||
\(540\) | 0.190052 | − | 0.832673i | 0.00817854 | − | 0.0358325i | ||||
\(541\) | 14.5698 | + | 18.2700i | 0.626407 | + | 0.785489i | 0.989230 | − | 0.146369i | \(-0.0467586\pi\) |
−0.362823 | + | 0.931858i | \(0.618187\pi\) | |||||||
\(542\) | 8.72360 | + | 38.2206i | 0.374711 | + | 1.64171i | ||||
\(543\) | −0.996800 | − | 4.36726i | −0.0427768 | − | 0.187417i | ||||
\(544\) | 9.68568 | − | 12.1455i | 0.415270 | − | 0.520732i | ||||
\(545\) | 9.28413 | − | 4.47100i | 0.397688 | − | 0.191517i | ||||
\(546\) | 7.78536 | + | 3.74923i | 0.333183 | + | 0.160452i | ||||
\(547\) | −14.2362 | − | 17.8516i | −0.608695 | − | 0.763280i | 0.378010 | − | 0.925802i | \(-0.376609\pi\) |
−0.986705 | + | 0.162522i | \(0.948037\pi\) | |||||||
\(548\) | −1.64209 | + | 2.05912i | −0.0701466 | + | 0.0879611i | ||||
\(549\) | −9.78587 | − | 4.71263i | −0.417651 | − | 0.201130i | ||||
\(550\) | −0.687439 | −0.0293125 | ||||||||
\(551\) | −9.63806 | − | 17.6941i | −0.410595 | − | 0.753796i | ||||
\(552\) | 12.9817 | 0.552538 | ||||||||
\(553\) | −15.9763 | − | 7.69378i | −0.679382 | − | 0.327173i | ||||
\(554\) | −2.50501 | + | 3.14118i | −0.106428 | + | 0.133456i | ||||
\(555\) | 5.54651 | + | 6.95510i | 0.235436 | + | 0.295228i | ||||
\(556\) | 15.3061 | + | 7.37104i | 0.649124 | + | 0.312602i | ||||
\(557\) | −0.0178269 | + | 0.00858500i | −0.000755351 | + | 0.000363758i | −0.434261 | − | 0.900787i | \(-0.642991\pi\) |
0.433506 | + | 0.901151i | \(0.357276\pi\) | |||||||
\(558\) | −2.36805 | + | 2.96945i | −0.100248 | + | 0.125707i | ||||
\(559\) | −1.58226 | − | 6.93232i | −0.0669223 | − | 0.293206i | ||||
\(560\) | −2.31050 | − | 10.1230i | −0.0976363 | − | 0.427773i | ||||
\(561\) | 0.868257 | + | 1.08876i | 0.0366578 | + | 0.0459675i | ||||
\(562\) | −6.88432 | + | 30.1622i | −0.290398 | + | 1.27231i | ||||
\(563\) | 7.69885 | 0.324468 | 0.162234 | − | 0.986752i | \(-0.448130\pi\) | ||||
0.162234 | + | 0.986752i | \(0.448130\pi\) | |||||||
\(564\) | 0.245814 | − | 1.07698i | 0.0103507 | − | 0.0453492i | ||||
\(565\) | 5.27872 | − | 2.54210i | 0.222077 | − | 0.106947i | ||||
\(566\) | −10.1037 | + | 4.86568i | −0.424689 | + | 0.204520i | ||||
\(567\) | −0.464076 | + | 2.03325i | −0.0194893 | + | 0.0853884i | ||||
\(568\) | 30.7945 | 1.29211 | ||||||||
\(569\) | −7.24251 | + | 31.7315i | −0.303622 | + | 1.33025i | 0.560993 | + | 0.827820i | \(0.310419\pi\) |
−0.864615 | + | 0.502435i | \(0.832438\pi\) | |||||||
\(570\) | 3.94106 | + | 4.94194i | 0.165073 | + | 0.206995i | ||||
\(571\) | −3.52734 | − | 15.4543i | −0.147615 | − | 0.646741i | −0.993544 | − | 0.113447i | \(-0.963811\pi\) |
0.845930 | − | 0.533295i | \(-0.179046\pi\) | |||||||
\(572\) | −0.189666 | − | 0.830983i | −0.00793035 | − | 0.0347452i | ||||
\(573\) | 9.91091 | − | 12.4279i | 0.414034 | − | 0.519183i | ||||
\(574\) | 8.56428 | − | 4.12434i | 0.357466 | − | 0.172147i | ||||
\(575\) | −6.04165 | − | 2.90951i | −0.251954 | − | 0.121335i | ||||
\(576\) | 1.42706 | + | 1.78947i | 0.0594608 | + | 0.0745615i | ||||
\(577\) | 23.2614 | − | 29.1689i | 0.968386 | − | 1.21432i | −0.00836997 | − | 0.999965i | \(-0.502664\pi\) |
0.976756 | − | 0.214353i | \(-0.0687643\pi\) | |||||||
\(578\) | −8.04862 | − | 3.87601i | −0.334779 | − | 0.161221i | ||||
\(579\) | −8.27582 | −0.343932 | ||||||||
\(580\) | −0.229730 | − | 4.59366i | −0.00953904 | − | 0.190741i | ||||
\(581\) | −19.3113 | −0.801168 | ||||||||
\(582\) | 10.4627 | + | 5.03856i | 0.433692 | + | 0.208855i | ||||
\(583\) | 1.49247 | − | 1.87150i | 0.0618120 | − | 0.0775098i | ||||
\(584\) | 2.44372 | + | 3.06432i | 0.101122 | + | 0.126803i | ||||
\(585\) | 2.20967 | + | 1.06412i | 0.0913586 | + | 0.0439960i | ||||
\(586\) | 25.2680 | − | 12.1684i | 1.04381 | − | 0.502674i | ||||
\(587\) | 25.5733 | − | 32.0679i | 1.05552 | − | 1.32358i | 0.111478 | − | 0.993767i | \(-0.464441\pi\) |
0.944045 | − | 0.329817i | \(-0.106987\pi\) | |||||||
\(588\) | 0.503740 | + | 2.20703i | 0.0207739 | + | 0.0910163i | ||||
\(589\) | −1.87176 | − | 8.20072i | −0.0771245 | − | 0.337905i | ||||
\(590\) | −6.05155 | − | 7.58841i | −0.249139 | − | 0.312410i | ||||
\(591\) | 2.89650 | − | 12.6904i | 0.119146 | − | 0.522013i | ||||
\(592\) | 44.2902 | 1.82031 | ||||||||
\(593\) | −5.12462 | + | 22.4524i | −0.210443 | + | 0.922010i | 0.753824 | + | 0.657077i | \(0.228207\pi\) |
−0.964267 | + | 0.264934i | \(0.914650\pi\) | |||||||
\(594\) | 0.619361 | − | 0.298268i | 0.0254127 | − | 0.0122381i | ||||
\(595\) | 6.43052 | − | 3.09678i | 0.263626 | − | 0.126955i | ||||
\(596\) | −2.42004 | + | 10.6029i | −0.0991285 | + | 0.434310i | ||||
\(597\) | −0.0479193 | −0.00196121 | ||||||||
\(598\) | 6.18255 | − | 27.0875i | 0.252823 | − | 1.10769i | ||||
\(599\) | −18.0511 | − | 22.6353i | −0.737547 | − | 0.924855i | 0.261640 | − | 0.965166i | \(-0.415737\pi\) |
−0.999187 | + | 0.0403107i | \(0.987165\pi\) | |||||||
\(600\) | −0.430781 | − | 1.88737i | −0.0175866 | − | 0.0770517i | ||||
\(601\) | −5.01584 | − | 21.9758i | −0.204600 | − | 0.896413i | −0.968092 | − | 0.250595i | \(-0.919374\pi\) |
0.763492 | − | 0.645818i | \(-0.223483\pi\) | |||||||
\(602\) | −6.36897 | + | 7.98644i | −0.259580 | + | 0.325503i | ||||
\(603\) | −6.17369 | + | 2.97309i | −0.251412 | + | 0.121074i | ||||
\(604\) | 10.9340 | + | 5.26556i | 0.444900 | + | 0.214253i | ||||
\(605\) | 6.75515 | + | 8.47069i | 0.274636 | + | 0.344383i | ||||
\(606\) | −17.5817 | + | 22.0467i | −0.714206 | + | 0.895586i | ||||
\(607\) | −0.226839 | − | 0.109240i | −0.00920711 | − | 0.00443391i | 0.429275 | − | 0.903174i | \(-0.358769\pi\) |
−0.438482 | + | 0.898740i | \(0.644484\pi\) | |||||||
\(608\) | 16.9837 | 0.688781 | ||||||||
\(609\) | 0.560964 | + | 11.2169i | 0.0227314 | + | 0.454533i | ||||
\(610\) | 18.3495 | 0.742948 | ||||||||
\(611\) | 2.85800 | + | 1.37634i | 0.115622 | + | 0.0556807i | ||||
\(612\) | 1.82243 | − | 2.28525i | 0.0736672 | − | 0.0923757i | ||||
\(613\) | 14.4199 | + | 18.0819i | 0.582413 | + | 0.730322i | 0.982522 | − | 0.186145i | \(-0.0595994\pi\) |
−0.400110 | + | 0.916467i | \(0.631028\pi\) | |||||||
\(614\) | −29.6186 | − | 14.2636i | −1.19531 | − | 0.575630i | ||||
\(615\) | 2.43075 | − | 1.17059i | 0.0980171 | − | 0.0472026i | ||||
\(616\) | 1.02431 | − | 1.28445i | 0.0412708 | − | 0.0517519i | ||||
\(617\) | −4.46965 | − | 19.5828i | −0.179941 | − | 0.788374i | −0.981655 | − | 0.190666i | \(-0.938935\pi\) |
0.801714 | − | 0.597708i | \(-0.203922\pi\) | |||||||
\(618\) | −1.59289 | − | 6.97889i | −0.0640753 | − | 0.280732i | ||||
\(619\) | 20.6801 | + | 25.9320i | 0.831204 | + | 1.04230i | 0.998410 | + | 0.0563743i | \(0.0179540\pi\) |
−0.167206 | + | 0.985922i | \(0.553475\pi\) | |||||||
\(620\) | 0.427269 | − | 1.87199i | 0.0171595 | − | 0.0751809i | ||||
\(621\) | 6.70573 | 0.269092 | ||||||||
\(622\) | 11.8586 | − | 51.9561i | 0.475488 | − | 2.08325i | ||||
\(623\) | 9.84663 | − | 4.74189i | 0.394497 | − | 0.189980i | ||||
\(624\) | 11.0013 | − | 5.29795i | 0.440404 | − | 0.212088i | ||||
\(625\) | −0.222521 | + | 0.974928i | −0.00890084 | + | 0.0389971i | ||||
\(626\) | 13.9568 | 0.557826 | ||||||||
\(627\) | −0.338783 | + | 1.48431i | −0.0135297 | + | 0.0592775i | ||||
\(628\) | −8.51898 | − | 10.6825i | −0.339944 | − | 0.426277i | ||||
\(629\) | 6.77454 | + | 29.6812i | 0.270119 | + | 1.18347i | ||||
\(630\) | −0.784011 | − | 3.43498i | −0.0312358 | − | 0.136853i | ||||
\(631\) | −7.73022 | + | 9.69339i | −0.307735 | + | 0.385888i | −0.911517 | − | 0.411262i | \(-0.865088\pi\) |
0.603782 | + | 0.797149i | \(0.293660\pi\) | |||||||
\(632\) | −14.8301 | + | 7.14180i | −0.589909 | + | 0.284085i | ||||
\(633\) | 9.32199 | + | 4.48923i | 0.370516 | + | 0.178431i | ||||
\(634\) | −2.91408 | − | 3.65414i | −0.115733 | − | 0.145125i | ||||
\(635\) | 1.69261 | − | 2.12247i | 0.0671693 | − | 0.0842277i | ||||
\(636\) | −4.52678 | − | 2.17998i | −0.179498 | − | 0.0864418i | ||||
\(637\) | −6.50057 | −0.257562 | ||||||||
\(638\) | 2.77542 | − | 2.44983i | 0.109880 | − | 0.0969895i | ||||
\(639\) | 15.9070 | 0.629271 | ||||||||
\(640\) | −11.6632 | − | 5.61672i | −0.461030 | − | 0.222020i | ||||
\(641\) | 18.9502 | − | 23.7628i | 0.748488 | − | 0.938575i | −0.251080 | − | 0.967966i | \(-0.580786\pi\) |
0.999568 | + | 0.0293918i | \(0.00935703\pi\) | |||||||
\(642\) | −0.509407 | − | 0.638776i | −0.0201047 | − | 0.0252105i | ||||
\(643\) | −21.4296 | − | 10.3199i | −0.845101 | − | 0.406979i | −0.0393440 | − | 0.999226i | \(-0.512527\pi\) |
−0.805757 | + | 0.592247i | \(0.798241\pi\) | |||||||
\(644\) | −10.7616 | + | 5.18250i | −0.424065 | + | 0.204219i | ||||
\(645\) | −1.80766 | + | 2.26674i | −0.0711767 | + | 0.0892528i | ||||
\(646\) | 4.81364 | + | 21.0899i | 0.189390 | + | 0.829772i | ||||
\(647\) | 8.81707 | + | 38.6301i | 0.346635 | + | 1.51871i | 0.784764 | + | 0.619795i | \(0.212784\pi\) |
−0.438129 | + | 0.898912i | \(0.644359\pi\) | |||||||
\(648\) | 1.20702 | + | 1.51356i | 0.0474163 | + | 0.0594581i | ||||
\(649\) | 0.520206 | − | 2.27917i | 0.0204199 | − | 0.0894653i | ||||
\(650\) | −4.14334 | −0.162515 | ||||||||
\(651\) | −1.04332 | + | 4.57108i | −0.0408909 | + | 0.179155i | ||||
\(652\) | 10.9773 | − | 5.28639i | 0.429904 | − | 0.207031i | ||||
\(653\) | 10.0051 | − | 4.81821i | 0.391531 | − | 0.188551i | −0.227752 | − | 0.973719i | \(-0.573138\pi\) |
0.619283 | + | 0.785168i | \(0.287423\pi\) | |||||||
\(654\) | 3.87379 | − | 16.9722i | 0.151477 | − | 0.663665i | ||||
\(655\) | −10.8798 | −0.425110 | ||||||||
\(656\) | 2.98894 | − | 13.0954i | 0.116699 | − | 0.511290i | ||||
\(657\) | 1.26231 | + | 1.58288i | 0.0492473 | + | 0.0617542i | ||||
\(658\) | −1.01404 | − | 4.44282i | −0.0395316 | − | 0.173199i | ||||
\(659\) | 1.13856 | + | 4.98835i | 0.0443519 | + | 0.194318i | 0.992250 | − | 0.124254i | \(-0.0396538\pi\) |
−0.947899 | + | 0.318572i | \(0.896797\pi\) | |||||||
\(660\) | −0.216686 | + | 0.271716i | −0.00843451 | + | 0.0105765i | ||||
\(661\) | 39.7909 | − | 19.1623i | 1.54769 | − | 0.745326i | 0.551633 | − | 0.834087i | \(-0.314005\pi\) |
0.996053 | + | 0.0887611i | \(0.0282908\pi\) | |||||||
\(662\) | 37.6836 | + | 18.1475i | 1.46461 | + | 0.705321i | ||||
\(663\) | 5.23318 | + | 6.56219i | 0.203240 | + | 0.254855i | ||||
\(664\) | −11.1766 | + | 14.0150i | −0.433735 | + | 0.543886i | ||||
\(665\) | 7.03037 | + | 3.38565i | 0.272626 | + | 0.131290i | ||||
\(666\) | 15.0288 | 0.582354 | ||||||||
\(667\) | 34.7608 | − | 9.78400i | 1.34594 | − | 0.378838i | ||||
\(668\) | 4.88902 | 0.189162 | ||||||||
\(669\) | −7.40983 | − | 3.56839i | −0.286481 | − | 0.137962i | ||||
\(670\) | 7.21768 | − | 9.05069i | 0.278843 | − | 0.349659i | ||||
\(671\) | 2.75562 | + | 3.45544i | 0.106380 | + | 0.133396i | ||||
\(672\) | −8.52923 | − | 4.10746i | −0.329022 | − | 0.158449i | ||||
\(673\) | 36.1188 | − | 17.3939i | 1.39228 | − | 0.670486i | 0.420700 | − | 0.907200i | \(-0.361785\pi\) |
0.971579 | + | 0.236714i | \(0.0760703\pi\) | |||||||
\(674\) | 1.58431 | − | 1.98666i | 0.0610253 | − | 0.0765233i | ||||
\(675\) | −0.222521 | − | 0.974928i | −0.00856483 | − | 0.0375250i | ||||
\(676\) | 1.32752 | + | 5.81623i | 0.0510583 | + | 0.223701i | ||||
\(677\) | 9.54432 | + | 11.9682i | 0.366818 | + | 0.459975i | 0.930648 | − | 0.365916i | \(-0.119244\pi\) |
−0.563830 | + | 0.825891i | \(0.690673\pi\) | |||||||
\(678\) | 2.20254 | − | 9.64995i | 0.0845880 | − | 0.370604i | ||||
\(679\) | 14.3356 | 0.550151 | ||||||||
\(680\) | 1.47426 | − | 6.45917i | 0.0565354 | − | 0.247698i | ||||
\(681\) | −13.5083 | + | 6.50525i | −0.517639 | + | 0.249282i | ||||
\(682\) | 1.39243 | − | 0.670558i | 0.0533188 | − | 0.0256770i | ||||
\(683\) | −7.54141 | + | 33.0411i | −0.288564 | + | 1.26428i | 0.597933 | + | 0.801546i | \(0.295989\pi\) |
−0.886497 | + | 0.462735i | \(0.846868\pi\) | |||||||
\(684\) | 3.19560 | 0.122187 | ||||||||
\(685\) | −0.686178 | + | 3.00634i | −0.0262175 | + | 0.114866i | ||||
\(686\) | 21.1998 | + | 26.5837i | 0.809413 | + | 1.01497i | ||||
\(687\) | −1.83448 | − | 8.03738i | −0.0699897 | − | 0.306645i | ||||
\(688\) | 3.21200 | + | 14.0727i | 0.122456 | + | 0.536517i | ||||
\(689\) | 8.99547 | − | 11.2800i | 0.342700 | − | 0.429733i | ||||
\(690\) | −10.2068 | + | 4.91533i | −0.388566 | + | 0.187124i | ||||
\(691\) | −1.62590 | − | 0.782993i | −0.0618522 | − | 0.0297865i | 0.402702 | − | 0.915331i | \(-0.368071\pi\) |
−0.464554 | + | 0.885545i | \(0.653785\pi\) | |||||||
\(692\) | −6.13545 | − | 7.69362i | −0.233235 | − | 0.292467i | ||||
\(693\) | 0.529112 | − | 0.663486i | 0.0200993 | − | 0.0252037i | ||||
\(694\) | −32.7459 | − | 15.7696i | −1.24302 | − | 0.598606i | ||||
\(695\) | 19.8909 | 0.754503 | ||||||||
\(696\) | 8.46524 | + | 6.08478i | 0.320874 | + | 0.230643i | ||||
\(697\) | 9.23311 | 0.349729 | ||||||||
\(698\) | −44.6519 | − | 21.5032i | −1.69010 | − | 0.813909i | ||||
\(699\) | 11.3574 | − | 14.2417i | 0.429577 | − | 0.538672i | ||||
\(700\) | 1.11058 | + | 1.39262i | 0.0419759 | + | 0.0526361i | ||||
\(701\) | 36.9174 | + | 17.7785i | 1.39435 | + | 0.671484i | 0.972007 | − | 0.234951i | \(-0.0754931\pi\) |
0.422344 | + | 0.906436i | \(0.361207\pi\) | |||||||
\(702\) | 3.73302 | − | 1.79773i | 0.140894 | − | 0.0678509i | ||||
\(703\) | −20.7525 | + | 26.0228i | −0.782695 | + | 0.981469i | ||||
\(704\) | −0.207245 | − | 0.907999i | −0.00781083 | − | 0.0342215i | ||||
\(705\) | −0.287810 | − | 1.26098i | −0.0108395 | − | 0.0474911i | ||||
\(706\) | −7.85018 | − | 9.84381i | −0.295445 | − | 0.370477i | ||||
\(707\) | −7.74615 | + | 33.9381i | −0.291324 | + | 1.27637i | ||||
\(708\) | −4.90688 | −0.184412 | ||||||||
\(709\) | −8.76548 | + | 38.4041i | −0.329195 | + | 1.44230i | 0.491474 | + | 0.870892i | \(0.336458\pi\) |
−0.820669 | + | 0.571404i | \(0.806399\pi\) | |||||||
\(710\) | −24.2121 | + | 11.6599i | −0.908662 | + | 0.437589i | ||||
\(711\) | −7.66052 | + | 3.68911i | −0.287292 | + | 0.138353i | ||||
\(712\) | 2.25744 | − | 9.89049i | 0.0846012 | − | 0.370662i | ||||
\(713\) | 15.0756 | 0.564586 | ||||||||
\(714\) | 2.68312 | − | 11.7555i | 0.100413 | − | 0.439940i | ||||
\(715\) | −0.622225 | − | 0.780245i | −0.0232699 | − | 0.0291795i | ||||
\(716\) | 3.04204 | + | 13.3280i | 0.113686 | + | 0.498092i | ||||
\(717\) | −4.40132 | − | 19.2834i | −0.164370 | − | 0.720153i | ||||
\(718\) | 24.2193 | − | 30.3700i | 0.903855 | − | 1.13340i | ||||
\(719\) | 11.0837 | − | 5.33764i | 0.413353 | − | 0.199060i | −0.215637 | − | 0.976474i | \(-0.569183\pi\) |
0.628990 | + | 0.777413i | \(0.283469\pi\) | |||||||
\(720\) | −4.48566 | − | 2.16018i | −0.167171 | − | 0.0805052i | ||||
\(721\) | −5.50969 | − | 6.90894i | −0.205192 | − | 0.257302i | ||||
\(722\) | 5.26755 | − | 6.60530i | 0.196038 | − | 0.245824i | ||||
\(723\) | 22.4720 | + | 10.8220i | 0.835744 | + | 0.402473i | ||||
\(724\) | 3.82595 | 0.142190 | ||||||||
\(725\) | −2.57596 | − | 4.72910i | −0.0956687 | − | 0.175635i | ||||
\(726\) | 18.3037 | 0.679315 | ||||||||
\(727\) | −2.47567 | − | 1.19222i | −0.0918174 | − | 0.0442169i | 0.387411 | − | 0.921907i | \(-0.373369\pi\) |
−0.479229 | + | 0.877690i | \(0.659084\pi\) | |||||||
\(728\) | 6.17377 | − | 7.74166i | 0.228815 | − | 0.286925i | ||||
\(729\) | 0.623490 | + | 0.781831i | 0.0230922 | + | 0.0289567i | ||||
\(730\) | −3.08162 | − | 1.48403i | −0.114056 | − | 0.0549264i | ||||
\(731\) | −8.93957 | + | 4.30507i | −0.330642 | + | 0.159229i | ||||
\(732\) | 5.78390 | − | 7.25278i | 0.213779 | − | 0.268071i | ||||
\(733\) | −1.83237 | − | 8.02812i | −0.0676800 | − | 0.296525i | 0.929748 | − | 0.368195i | \(-0.120024\pi\) |
−0.997428 | + | 0.0716701i | \(0.977167\pi\) | |||||||
\(734\) | 6.88856 | + | 30.1807i | 0.254261 | + | 1.11399i | ||||
\(735\) | 1.65258 | + | 2.07227i | 0.0609564 | + | 0.0764369i | ||||
\(736\) | −6.77328 | + | 29.6757i | −0.249666 | + | 1.09386i | ||||
\(737\) | 2.78827 | 0.102707 | ||||||||
\(738\) | 1.01422 | − | 4.44361i | 0.0373341 | − | 0.163571i | ||||
\(739\) | 6.55624 | − | 3.15732i | 0.241175 | − | 0.116144i | −0.309392 | − | 0.950934i | \(-0.600126\pi\) |
0.550568 | + | 0.834791i | \(0.314411\pi\) | |||||||
\(740\) | −6.84545 | + | 3.29660i | −0.251644 | + | 0.121185i | ||||
\(741\) | −2.04192 | + | 8.94624i | −0.0750118 | + | 0.328648i | ||||
\(742\) | −20.7266 | −0.760899 | ||||||||
\(743\) | 3.66227 | − | 16.0455i | 0.134356 | − | 0.588651i | −0.862261 | − | 0.506464i | \(-0.830952\pi\) |
0.996617 | − | 0.0821872i | \(-0.0261905\pi\) | |||||||
\(744\) | 2.71359 | + | 3.40273i | 0.0994849 | + | 0.124750i | ||||
\(745\) | 2.83348 | + | 12.4143i | 0.103811 | + | 0.454824i | ||||
\(746\) | −5.00870 | − | 21.9446i | −0.183382 | − | 0.803447i | ||||
\(747\) | −5.77329 | + | 7.23947i | −0.211233 | + | 0.264878i | ||||
\(748\) | −1.07159 | + | 0.516053i | −0.0391814 | + | 0.0188688i | ||||
\(749\) | −0.908719 | − | 0.437616i | −0.0332039 | − | 0.0159901i | ||||
\(750\) | 1.05333 | + | 1.32083i | 0.0384620 | + | 0.0482299i | ||||
\(751\) | −24.9196 | + | 31.2481i | −0.909328 | + | 1.14026i | 0.0803237 | + | 0.996769i | \(0.474405\pi\) |
−0.989651 | + | 0.143492i | \(0.954167\pi\) | |||||||
\(752\) | −5.80178 | − | 2.79399i | −0.211569 | − | 0.101886i | ||||
\(753\) | −16.2529 | −0.592290 | ||||||||
\(754\) | 16.7281 | − | 14.7656i | 0.609200 | − | 0.537733i | ||||
\(755\) | 14.2092 | 0.517125 | ||||||||
\(756\) | −1.60483 | − | 0.772846i | −0.0583672 | − | 0.0281081i | ||||
\(757\) | −22.1495 | + | 27.7746i | −0.805038 | + | 1.00949i | 0.194553 | + | 0.980892i | \(0.437674\pi\) |
−0.999591 | + | 0.0285938i | \(0.990897\pi\) | |||||||
\(758\) | −35.5628 | − | 44.5943i | −1.29170 | − | 1.61974i | ||||
\(759\) | −2.45842 | − | 1.18391i | −0.0892350 | − | 0.0429733i | ||||
\(760\) | 6.52598 | − | 3.14275i | 0.236722 | − | 0.113999i | ||||
\(761\) | 25.8308 | − | 32.3908i | 0.936365 | − | 1.17416i | −0.0481459 | − | 0.998840i | \(-0.515331\pi\) |
0.984511 | − | 0.175324i | \(-0.0560973\pi\) | |||||||
\(762\) | −1.02055 | − | 4.47131i | −0.0369705 | − | 0.161978i | ||||
\(763\) | −4.78212 | − | 20.9518i | −0.173124 | − | 0.758507i | ||||
\(764\) | 8.46478 | + | 10.6145i | 0.306245 | + | 0.384019i | ||||
\(765\) | 0.761534 | − | 3.33650i | 0.0275333 | − | 0.120631i | ||||
\(766\) | −14.0617 | −0.508069 | ||||||||
\(767\) | 3.13540 | − | 13.7371i | 0.113213 | − | 0.496017i | ||||
\(768\) | −15.5796 | + | 7.50274i | −0.562180 | + | 0.270732i | ||||
\(769\) | 18.6795 | − | 8.99559i | 0.673601 | − | 0.324389i | −0.0656270 | − | 0.997844i | \(-0.520905\pi\) |
0.739228 | + | 0.673455i | \(0.235190\pi\) | |||||||
\(770\) | −0.319024 | + | 1.39773i | −0.0114968 | + | 0.0503708i | ||||
\(771\) | −20.2129 | −0.727950 | ||||||||
\(772\) | 1.57284 | − | 6.89105i | 0.0566077 | − | 0.248014i | ||||
\(773\) | 31.1529 | + | 39.0644i | 1.12049 | + | 1.40505i | 0.903347 | + | 0.428911i | \(0.141102\pi\) |
0.217143 | + | 0.976140i | \(0.430326\pi\) | |||||||
\(774\) | 1.08992 | + | 4.77523i | 0.0391762 | + | 0.171642i | ||||
\(775\) | −0.500264 | − | 2.19180i | −0.0179700 | − | 0.0787318i | ||||
\(776\) | 8.29686 | − | 10.4039i | 0.297840 | − | 0.373480i | ||||
\(777\) | 16.7155 | − | 8.04974i | 0.599663 | − | 0.288783i | ||||
\(778\) | −38.3034 | − | 18.4459i | −1.37324 | − | 0.661319i | ||||
\(779\) | 6.29375 | + | 7.89211i | 0.225497 | + | 0.282764i | ||||
\(780\) | −1.30602 | + | 1.63769i | −0.0467629 | + | 0.0586388i | ||||
\(781\) | −5.83174 | − | 2.80842i | −0.208676 | − | 0.100493i | ||||
\(782\) | −38.7702 | −1.38642 | ||||||||
\(783\) | 4.37274 | + | 3.14311i | 0.156269 | + | 0.112326i | ||||
\(784\) | 13.1962 | 0.471295 | ||||||||
\(785\) | −14.4134 | − | 6.94112i | −0.514436 | − | 0.247739i | ||||
\(786\) | −11.4600 | + | 14.3704i | −0.408765 | + | 0.512575i | ||||
\(787\) | −10.1674 | − | 12.7495i | −0.362429 | − | 0.454472i | 0.566866 | − | 0.823810i | \(-0.308156\pi\) |
−0.929295 | + | 0.369338i | \(0.879584\pi\) | |||||||
\(788\) | 10.0164 | + | 4.82367i | 0.356821 | + | 0.171836i | ||||
\(789\) | −26.4307 | + | 12.7284i | −0.940959 | + | 0.453142i | ||||
\(790\) | 8.95595 | − | 11.2304i | 0.318638 | − | 0.399560i | ||||
\(791\) | −2.71899 | − | 11.9127i | −0.0966762 | − | 0.423566i | ||||
\(792\) | −0.175290 | − | 0.767995i | −0.00622865 | − | 0.0272895i | ||||
\(793\) | 16.6087 | + | 20.8267i | 0.589793 | + | 0.739578i | ||||
\(794\) | −10.3508 | + | 45.3500i | −0.367337 | + | 1.60941i | ||||
\(795\) | −5.88271 | −0.208638 | ||||||||
\(796\) | 0.00910716 | − | 0.0399011i | 0.000322795 | − | 0.00141426i | ||||
\(797\) | −29.6886 | + | 14.2973i | −1.05163 | + | 0.506436i | −0.878142 | − | 0.478400i | \(-0.841217\pi\) |
−0.173484 | + | 0.984837i | \(0.555502\pi\) | |||||||
\(798\) | 11.8771 | − | 5.71973i | 0.420446 | − | 0.202476i | ||||
\(799\) | 0.984972 | − | 4.31545i | 0.0348458 | − | 0.152669i | ||||
\(800\) | 4.53923 | 0.160486 | ||||||||
\(801\) | 1.16609 | − | 5.10896i | 0.0412017 | − | 0.180516i | ||||
\(802\) | −2.21455 | − | 2.77695i | −0.0781983 | − | 0.0980576i | ||||
\(803\) | −0.183319 | − | 0.803173i | −0.00646918 | − | 0.0283433i | ||||
\(804\) | −1.30229 | − | 5.70571i | −0.0459282 | − | 0.201225i | ||||
\(805\) | −8.71953 | + | 10.9339i | −0.307323 | + | 0.385371i | ||||
\(806\) | 8.39247 | − | 4.04160i | 0.295612 | − | 0.142359i | ||||
\(807\) | 8.74779 | + | 4.21272i | 0.307937 | + | 0.148295i | ||||
\(808\) | 20.1471 | + | 25.2636i | 0.708771 | + | 0.888771i | ||||
\(809\) | 8.77478 | − | 11.0032i | 0.308505 | − | 0.386853i | −0.603274 | − | 0.797534i | \(-0.706138\pi\) |
0.911779 | + | 0.410681i | \(0.134709\pi\) | |||||||
\(810\) | −1.52210 | − | 0.733005i | −0.0534812 | − | 0.0257552i | ||||
\(811\) | 36.1288 | 1.26865 | 0.634327 | − | 0.773065i | \(-0.281277\pi\) | ||||
0.634327 | + | 0.773065i | \(0.281277\pi\) | |||||||
\(812\) | −9.44665 | − | 1.66470i | −0.331513 | − | 0.0584197i | ||||
\(813\) | 23.2055 | 0.813853 | ||||||||
\(814\) | −5.50978 | − | 2.65337i | −0.193118 | − | 0.0930006i | ||||
\(815\) | 8.89434 | − | 11.1531i | 0.311555 | − | 0.390678i | ||||
\(816\) | −10.6234 | − | 13.3214i | −0.371894 | − | 0.466341i | ||||
\(817\) | −9.77347 | − | 4.70665i | −0.341930 | − | 0.164665i | ||||
\(818\) | −49.4770 | + | 23.8268i | −1.72992 | + | 0.833086i | ||||
\(819\) | 3.18907 | − | 3.99897i | 0.111435 | − | 0.139735i | ||||
\(820\) | 0.512746 | + | 2.24649i | 0.0179059 | + | 0.0784508i | ||||
\(821\) | 7.77242 | + | 34.0532i | 0.271259 | + | 1.18847i | 0.908528 | + | 0.417824i | \(0.137207\pi\) |
−0.637269 | + | 0.770642i | \(0.719936\pi\) | |||||||
\(822\) | 3.24810 | + | 4.07298i | 0.113290 | + | 0.142062i | ||||
\(823\) | −10.3496 | + | 45.3444i | −0.360763 | + | 1.58061i | 0.390499 | + | 0.920603i | \(0.372303\pi\) |
−0.751262 | + | 0.660004i | \(0.770555\pi\) | |||||||
\(824\) | −8.20287 | −0.285760 | ||||||||
\(825\) | −0.0905464 | + | 0.396710i | −0.00315242 | + | 0.0138117i | ||||
\(826\) | −18.2375 | + | 8.78271i | −0.634564 | + | 0.305590i | ||||
\(827\) | −20.2820 | + | 9.76728i | −0.705273 | + | 0.339642i | −0.751906 | − | 0.659271i | \(-0.770865\pi\) |
0.0466329 | + | 0.998912i | \(0.485151\pi\) | |||||||
\(828\) | −1.27444 | + | 5.58368i | −0.0442898 | + | 0.194046i | ||||
\(829\) | −40.6697 | −1.41252 | −0.706258 | − | 0.707955i | \(-0.749618\pi\) | ||||
−0.706258 | + | 0.707955i | \(0.749618\pi\) | |||||||
\(830\) | 3.48095 | − | 15.2510i | 0.120826 | − | 0.529372i | ||||
\(831\) | 1.48278 | + | 1.85934i | 0.0514370 | + | 0.0644999i | ||||
\(832\) | −1.24911 | − | 5.47271i | −0.0433051 | − | 0.189732i | ||||
\(833\) | 2.01847 | + | 8.84351i | 0.0699360 | + | 0.306409i | ||||
\(834\) | 20.9516 | − | 26.2724i | 0.725493 | − | 0.909740i | ||||
\(835\) | 5.15739 | − | 2.48367i | 0.178479 | − | 0.0859509i | ||||
\(836\) | −1.17155 | − | 0.564191i | −0.0405191 | − | 0.0195130i | ||||
\(837\) | 1.40171 | + | 1.75769i | 0.0484502 | + | 0.0607546i | ||||
\(838\) | 19.1958 | − | 24.0708i | 0.663109 | − | 0.831512i | ||||
\(839\) | −20.5423 | − | 9.89267i | −0.709200 | − | 0.341533i | 0.0442656 | − | 0.999020i | \(-0.485905\pi\) |
−0.753466 | + | 0.657487i | \(0.771620\pi\) | |||||||
\(840\) | −4.03741 | −0.139304 | ||||||||
\(841\) | 27.2531 | + | 9.91301i | 0.939763 | + | 0.341828i | ||||
\(842\) | −16.1327 | −0.555969 | ||||||||
\(843\) | 16.4993 | + | 7.94566i | 0.568267 | + | 0.273663i | ||||
\(844\) | −5.50973 | + | 6.90898i | −0.189653 | + | 0.237817i | ||||
\(845\) | 4.35508 | + | 5.46110i | 0.149819 | + | 0.187868i | ||||
\(846\) | −1.96869 | − | 0.948072i | −0.0676851 | − | 0.0325954i | ||||
\(847\) | 20.3579 | − | 9.80386i | 0.699506 | − | 0.336865i | ||||
\(848\) | −18.2610 | + | 22.8985i | −0.627084 | + | 0.786338i | ||||
\(849\) | 1.47709 | + | 6.47156i | 0.0506936 | + | 0.222103i | ||||
\(850\) | 1.28654 | + | 5.63670i | 0.0441279 | + | 0.193337i | ||||
\(851\) | −37.1934 | − | 46.6390i | −1.27497 | − | 1.59877i | ||||
\(852\) | −3.02316 | + | 13.2453i | −0.103572 | + | 0.453777i | ||||
\(853\) | −47.5532 | −1.62819 | −0.814096 | − | 0.580731i | \(-0.802767\pi\) | ||||
−0.814096 | + | 0.580731i | \(0.802767\pi\) | |||||||
\(854\) | 8.51554 | − | 37.3090i | 0.291396 | − | 1.27669i | ||||
\(855\) | 3.37101 | − | 1.62339i | 0.115286 | − | 0.0555189i | ||||
\(856\) | −0.843523 | + | 0.406219i | −0.0288310 | + | 0.0138843i | ||||
\(857\) | −3.88792 | + | 17.0341i | −0.132809 | + | 0.581874i | 0.864101 | + | 0.503319i | \(0.167888\pi\) |
−0.996910 | + | 0.0785551i | \(0.974969\pi\) | |||||||
\(858\) | −1.68598 | −0.0575583 | ||||||||
\(859\) | 1.88497 | − | 8.25858i | 0.0643142 | − | 0.281779i | −0.932537 | − | 0.361075i | \(-0.882410\pi\) |
0.996851 | + | 0.0792956i | \(0.0252671\pi\) | |||||||
\(860\) | −1.54390 | − | 1.93599i | −0.0526466 | − | 0.0660168i | ||||
\(861\) | −1.25204 | − | 5.48555i | −0.0426694 | − | 0.186947i | ||||
\(862\) | 0.165439 | + | 0.724837i | 0.00563488 | + | 0.0246880i | ||||
\(863\) | −11.2559 | + | 14.1145i | −0.383156 | + | 0.480462i | −0.935587 | − | 0.353096i | \(-0.885129\pi\) |
0.552431 | + | 0.833559i | \(0.313700\pi\) | |||||||
\(864\) | −4.08970 | + | 1.96950i | −0.139135 | + | 0.0670037i | ||||
\(865\) | −10.3807 | − | 4.99907i | −0.352953 | − | 0.169973i | ||||
\(866\) | −9.08947 | − | 11.3978i | −0.308873 | − | 0.387314i | ||||
\(867\) | −3.29691 | + | 4.13420i | −0.111969 | + | 0.140405i | ||||
\(868\) | −3.60793 | − | 1.73749i | −0.122461 | − | 0.0589742i | ||||
\(869\) | 3.45978 | 0.117365 | ||||||||
\(870\) | −8.95967 | − | 1.57889i | −0.303761 | − | 0.0535293i | ||||
\(871\) | 16.8055 | 0.569434 | ||||||||
\(872\) | −17.9733 | − | 8.65546i | −0.608651 | − | 0.293111i | ||||
\(873\) | 4.28577 | − | 5.37418i | 0.145051 | − | 0.181889i | ||||
\(874\) | −26.4277 | − | 33.1393i | −0.893930 | − | 1.12095i | ||||
\(875\) | 1.87900 | + | 0.904881i | 0.0635219 | + | 0.0305905i | ||||
\(876\) | −1.55793 | + | 0.750259i | −0.0526375 | + | 0.0253489i | ||||
\(877\) | −30.8343 | + | 38.6650i | −1.04120 | + | 1.30562i | −0.0903706 | + | 0.995908i | \(0.528805\pi\) |
−0.950829 | + | 0.309715i | \(0.899766\pi\) | |||||||
\(878\) | −8.29403 | − | 36.3385i | −0.279910 | − | 1.22637i | ||||
\(879\) | −3.69402 | − | 16.1845i | −0.124596 | − | 0.545891i | ||||
\(880\) | 1.26313 | + | 1.58391i | 0.0425800 | + | 0.0533936i | ||||
\(881\) | 5.13480 | − | 22.4970i | 0.172996 | − | 0.757943i | −0.811759 | − | 0.583993i | \(-0.801490\pi\) |
0.984754 | − | 0.173951i | \(-0.0556533\pi\) | |||||||
\(882\) | 4.47783 | 0.150776 | ||||||||
\(883\) | −6.94768 | + | 30.4398i | −0.233808 | + | 1.02438i | 0.712642 | + | 0.701528i | \(0.247499\pi\) |
−0.946450 | + | 0.322852i | \(0.895359\pi\) | |||||||
\(884\) | −6.45874 | + | 3.11036i | −0.217231 | + | 0.104613i | ||||
\(885\) | −5.17623 | + | 2.49274i | −0.173997 | + | 0.0837926i | ||||
\(886\) | −7.97715 | + | 34.9502i | −0.267998 | + | 1.17417i | ||||
\(887\) | −41.4954 | −1.39328 | −0.696640 | − | 0.717421i | \(-0.745323\pi\) | ||||
−0.696640 | + | 0.717421i | \(0.745323\pi\) | |||||||
\(888\) | 3.83219 | − | 16.7899i | 0.128600 | − | 0.563432i | ||||
\(889\) | −3.53001 | − | 4.42649i | −0.118393 | − | 0.148460i | ||||
\(890\) | 1.96999 | + | 8.63110i | 0.0660343 | + | 0.289315i | ||||
\(891\) | −0.0905464 | − | 0.396710i | −0.00303342 | − | 0.0132903i | ||||
\(892\) | 4.37955 | − | 5.49178i | 0.146638 | − | 0.183879i | ||||
\(893\) | 4.36008 | − | 2.09971i | 0.145905 | − | 0.0702640i | ||||
\(894\) | 19.3817 | + | 9.33375i | 0.648222 | + | 0.312167i | ||||
\(895\) | 9.97979 | + | 12.5143i | 0.333588 | + | 0.418306i | ||||
\(896\) | −16.8328 | + | 21.1077i | −0.562344 | + | 0.705157i | ||||
\(897\) | −14.8174 | − | 7.13570i | −0.494740 | − | 0.238254i | ||||
\(898\) | −3.84582 | −0.128337 | ||||||||
\(899\) | 9.83066 | + | 7.06624i | 0.327871 | + | 0.235672i | ||||
\(900\) | 0.854086 | 0.0284695 | ||||||||
\(901\) | −18.1387 | − | 8.73513i | −0.604287 | − | 0.291009i | ||||
\(902\) | −1.15636 | + | 1.45003i | −0.0385026 | + | 0.0482807i | ||||
\(903\) | 3.76995 | + | 4.72737i | 0.125456 | + | 0.157317i | ||||
\(904\) | −10.2191 | − | 4.92128i | −0.339883 | − | 0.163679i | ||||
\(905\) | 4.03596 | − | 1.94362i | 0.134160 | − | 0.0646080i | ||||
\(906\) | 14.9669 | − | 18.7679i | 0.497242 | − | 0.623522i | ||||
\(907\) | 2.51353 | + | 11.0125i | 0.0834603 | + | 0.365664i | 0.999361 | − | 0.0357412i | \(-0.0113792\pi\) |
−0.915901 | + | 0.401405i | \(0.868522\pi\) | |||||||
\(908\) | −2.84947 | − | 12.4843i | −0.0945628 | − | 0.414307i | ||||
\(909\) | 10.4070 | + | 13.0500i | 0.345179 | + | 0.432841i | ||||
\(910\) | −1.92283 | + | 8.42445i | −0.0637410 | + | 0.279268i | ||||
\(911\) | 0.289346 | 0.00958647 | 0.00479323 | − | 0.999989i | \(-0.498474\pi\) | ||||
0.00479323 | + | 0.999989i | \(0.498474\pi\) | |||||||
\(912\) | 4.14513 | − | 18.1610i | 0.137259 | − | 0.601371i | ||||
\(913\) | 3.39472 | − | 1.63481i | 0.112349 | − | 0.0541043i | ||||
\(914\) | 11.3680 | − | 5.47452i | 0.376018 | − | 0.181081i | ||||
\(915\) | 2.41691 | − | 10.5892i | 0.0799006 | − | 0.350067i | ||||
\(916\) | 7.04115 | 0.232646 | ||||||||
\(917\) | −5.04906 | + | 22.1214i | −0.166735 | + | 0.730512i | ||||
\(918\) | −3.60480 | − | 4.52028i | −0.118976 | − | 0.149191i | ||||
\(919\) | 3.82407 | + | 16.7543i | 0.126144 | + | 0.552674i | 0.998017 | + | 0.0629421i | \(0.0200484\pi\) |
−0.871873 | + | 0.489732i | \(0.837094\pi\) | |||||||
\(920\) | 2.88870 | + | 12.6562i | 0.0952376 | + | 0.417263i | ||||
\(921\) | −12.1325 | + | 15.2137i | −0.399779 | + | 0.501307i | ||||
\(922\) | −32.9923 | + | 15.8882i | −1.08654 | + | 0.523251i | ||||
\(923\) | −35.1492 | − | 16.9270i | −1.15695 | − | 0.557158i | ||||
\(924\) | 0.451907 | + | 0.566674i | 0.0148667 | + | 0.0186422i | ||||
\(925\) | −5.54651 | + | 6.95510i | −0.182368 | + | 0.228682i | ||||
\(926\) | −42.1849 | − | 20.3152i | −1.38628 | − | 0.667598i | ||||
\(927\) | −4.23721 | −0.139168 | ||||||||
\(928\) | −18.3264 | + | 16.1765i | −0.601593 | + | 0.531018i | ||||
\(929\) | 41.7580 | 1.37003 | 0.685017 | − | 0.728527i | \(-0.259795\pi\) | ||||
0.685017 | + | 0.728527i | \(0.259795\pi\) | |||||||
\(930\) | −3.42194 | − | 1.64792i | −0.112210 | − | 0.0540374i | ||||
\(931\) | −6.18320 | + | 7.75349i | −0.202646 | + | 0.254110i | ||||
\(932\) | 9.70021 | + | 12.1637i | 0.317741 | + | 0.398434i | ||||
\(933\) | −28.4210 | − | 13.6869i | −0.930463 | − | 0.448087i | ||||
\(934\) | 34.8944 | − | 16.8043i | 1.14178 | − | 0.549852i | ||||
\(935\) | −0.868257 | + | 1.08876i | −0.0283950 | + | 0.0356063i | ||||
\(936\) | −1.05651 | − | 4.62887i | −0.0345331 | − | 0.151299i | ||||
\(937\) | −1.69623 | − | 7.43166i | −0.0554134 | − | 0.242782i | 0.939634 | − | 0.342180i | \(-0.111165\pi\) |
−0.995048 | + | 0.0993983i | \(0.968308\pi\) | |||||||
\(938\) | −15.0527 | − | 18.8755i | −0.491490 | − | 0.616308i | ||||
\(939\) | 1.83833 | − | 8.05424i | 0.0599916 | − | 0.262840i | ||||
\(940\) | 1.10468 | 0.0360307 | ||||||||
\(941\) | 4.78576 | − | 20.9678i | 0.156011 | − | 0.683530i | −0.835056 | − | 0.550165i | \(-0.814565\pi\) |
0.991067 | − | 0.133365i | \(-0.0425782\pi\) | |||||||
\(942\) | −24.3500 | + | 11.7264i | −0.793367 | + | 0.382065i | ||||
\(943\) | −16.2999 | + | 7.84963i | −0.530798 | + | 0.255619i | ||||
\(944\) | −6.36490 | + | 27.8864i | −0.207160 | + | 0.907627i | ||||
\(945\) | −2.08554 | −0.0678425 | ||||||||
\(946\) | 0.443500 | − | 1.94310i | 0.0144194 | − | 0.0631756i | ||||
\(947\) | 21.8406 | + | 27.3872i | 0.709724 | + | 0.889965i | 0.997708 | − | 0.0676700i | \(-0.0215565\pi\) |
−0.287984 | + | 0.957635i | \(0.592985\pi\) | |||||||
\(948\) | −1.61593 | − | 7.07983i | −0.0524828 | − | 0.229942i | ||||
\(949\) | −1.10490 | − | 4.84090i | −0.0358667 | − | 0.157142i | ||||
\(950\) | −3.94106 | + | 4.94194i | −0.127865 | + | 0.160338i | ||||
\(951\) | −2.49258 | + | 1.20036i | −0.0808273 | + | 0.0389244i | ||||
\(952\) | −12.4489 | − | 5.99508i | −0.403472 | − | 0.194302i | ||||
\(953\) | 27.8684 | + | 34.9459i | 0.902748 | + | 1.13201i | 0.990724 | + | 0.135887i | \(0.0433885\pi\) |
−0.0879767 | + | 0.996123i | \(0.528040\pi\) | |||||||
\(954\) | −6.19641 | + | 7.77005i | −0.200616 | + | 0.251565i | ||||
\(955\) | 14.3217 | + | 6.89696i | 0.463439 | + | 0.223180i | ||||
\(956\) | 16.8933 | 0.546368 | ||||||||
\(957\) | −1.04819 | − | 1.92433i | −0.0338831 | − | 0.0622047i | ||||
\(958\) | −31.8182 | −1.02800 | ||||||||
\(959\) | 5.79420 | + | 2.79034i | 0.187104 | + | 0.0901048i | ||||
\(960\) | −1.42706 | + | 1.78947i | −0.0460581 | + | 0.0577551i | ||||
\(961\) | −16.1769 | − | 20.2852i | −0.521836 | − | 0.654361i | ||||
\(962\) | −33.2087 | − | 15.9924i | −1.07069 | − | 0.515617i | ||||
\(963\) | −0.435724 | + | 0.209834i | −0.0140410 | + | 0.00676180i | ||||
\(964\) | −13.2820 | + | 16.6551i | −0.427785 | + | 0.536425i | ||||
\(965\) | −1.84154 | − | 8.06833i | −0.0592814 | − | 0.259729i | ||||
\(966\) | 5.25737 | + | 23.0340i | 0.169153 | + | 0.741108i | ||||
\(967\) | 3.31945 | + | 4.16246i | 0.106746 | + | 0.133856i | 0.832335 | − | 0.554273i | \(-0.187004\pi\) |
−0.725588 | + | 0.688129i | \(0.758432\pi\) | |||||||
\(968\) | 4.66726 | − | 20.4486i | 0.150011 | − | 0.657243i | ||||
\(969\) | 12.8047 | 0.411346 | ||||||||
\(970\) | −2.58407 | + | 11.3215i | −0.0829694 | + | 0.363513i | ||||
\(971\) | −0.0436551 | + | 0.0210232i | −0.00140096 | + | 0.000674666i | −0.434584 | − | 0.900631i | \(-0.643105\pi\) |
0.433183 | + | 0.901306i | \(0.357390\pi\) | |||||||
\(972\) | −0.769505 | + | 0.370574i | −0.0246819 | + | 0.0118862i | ||||
\(973\) | 9.23086 | − | 40.4431i | 0.295928 | − | 1.29654i | ||||
\(974\) | 30.4870 | 0.976867 | ||||||||
\(975\) | −0.545743 | + | 2.39106i | −0.0174778 | + | 0.0765751i | ||||
\(976\) | −33.7160 | − | 42.2785i | −1.07922 | − | 1.35330i | ||||
\(977\) | 6.09294 | + | 26.6949i | 0.194930 | + | 0.854045i | 0.973899 | + | 0.226982i | \(0.0728860\pi\) |
−0.778969 | + | 0.627063i | \(0.784257\pi\) | |||||||
\(978\) | −5.36276 | − | 23.4958i | −0.171482 | − | 0.751313i | ||||
\(979\) | −1.32950 | + | 1.66715i | −0.0424911 | + | 0.0532822i | ||||
\(980\) | −2.03960 | + | 0.982220i | −0.0651527 | + | 0.0313759i | ||||
\(981\) | −9.28413 | − | 4.47100i | −0.296419 | − | 0.142748i | ||||
\(982\) | 38.9268 | + | 48.8126i | 1.24220 | + | 1.55767i | ||||
\(983\) | 12.2392 | − | 15.3474i | 0.390368 | − | 0.489507i | −0.547349 | − | 0.836904i | \(-0.684363\pi\) |
0.937718 | + | 0.347398i | \(0.112935\pi\) | |||||||
\(984\) | −4.70571 | − | 2.26615i | −0.150012 | − | 0.0722422i | ||||
\(985\) | 13.0167 | 0.414748 | ||||||||
\(986\) | −25.2817 | − | 18.1724i | −0.805133 | − | 0.578726i | ||||
\(987\) | −2.69744 | −0.0858606 | ||||||||
\(988\) | −7.06122 | − | 3.40050i | −0.224647 | − | 0.108184i | ||||
\(989\) | 12.1217 | − | 15.2001i | 0.385448 | − | 0.483336i | ||||
\(990\) | 0.428611 | + | 0.537461i | 0.0136222 | + | 0.0170816i | ||||
\(991\) | 45.1726 | + | 21.7540i | 1.43495 | + | 0.691037i | 0.979911 | − | 0.199433i | \(-0.0639100\pi\) |
0.455042 | + | 0.890470i | \(0.349624\pi\) | |||||||
\(992\) | −9.19434 | + | 4.42776i | −0.291921 | + | 0.140582i | ||||
\(993\) | 15.4361 | − | 19.3563i | 0.489851 | − | 0.614253i | ||||
\(994\) | 12.4713 | + | 54.6402i | 0.395565 | + | 1.73308i | ||||
\(995\) | −0.0106630 | − | 0.0467178i | −0.000338041 | − | 0.00148106i | ||||
\(996\) | −4.93089 | − | 6.18313i | −0.156241 | − | 0.195920i | ||||
\(997\) | 11.7536 | − | 51.4958i | 0.372240 | − | 1.63089i | −0.348235 | − | 0.937407i | \(-0.613219\pi\) |
0.720474 | − | 0.693482i | \(-0.243924\pi\) | |||||||
\(998\) | 0.378669 | 0.0119865 | ||||||||
\(999\) | 1.97953 | − | 8.67287i | 0.0626294 | − | 0.274398i |
(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 | 435.2.u.a.16.4 | ✓ | 30 | |
29.20 | even | 7 | inner | 435.2.u.a.136.4 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
435.2.u.a.16.4 | ✓ | 30 | 1.1 | even | 1 | trivial | |
435.2.u.a.136.4 | yes | 30 | 29.20 | even | 7 | inner |