Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(131,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.bj (of order \(6\), degree \(2\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 131.1 | ||
Character | \(\chi\) | \(=\) | 280.131 |
Dual form | 280.2.bj.f.171.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41058 | + | 0.101290i | −0.997432 | + | 0.0716226i | ||||
\(3\) | 0.725648 | − | 0.418953i | 0.418953 | − | 0.241883i | −0.275676 | − | 0.961251i | \(-0.588902\pi\) |
0.694629 | + | 0.719368i | \(0.255568\pi\) | |||||||
\(4\) | 1.97948 | − | 0.285754i | 0.989740 | − | 0.142877i | ||||
\(5\) | −0.500000 | + | 0.866025i | −0.223607 | + | 0.387298i | ||||
\(6\) | −0.981150 | + | 0.664468i | −0.400553 | + | 0.271268i | ||||
\(7\) | −2.36913 | + | 1.17781i | −0.895445 | + | 0.445172i | ||||
\(8\) | −2.76328 | + | 0.603581i | −0.976965 | + | 0.213398i | ||||
\(9\) | −1.14896 | + | 1.99005i | −0.382985 | + | 0.663350i | ||||
\(10\) | 0.617571 | − | 1.27224i | 0.195293 | − | 0.402319i | ||||
\(11\) | 2.98938 | + | 5.17776i | 0.901332 | + | 1.56115i | 0.825766 | + | 0.564013i | \(0.190743\pi\) |
0.0755665 | + | 0.997141i | \(0.475923\pi\) | |||||||
\(12\) | 1.31669 | − | 1.03667i | 0.380095 | − | 0.299260i | ||||
\(13\) | −2.87544 | −0.797504 | −0.398752 | − | 0.917059i | \(-0.630557\pi\) | ||||
−0.398752 | + | 0.917059i | \(0.630557\pi\) | |||||||
\(14\) | 3.22254 | − | 1.90137i | 0.861261 | − | 0.508163i | ||||
\(15\) | 0.837906i | 0.216346i | ||||||||
\(16\) | 3.83669 | − | 1.13129i | 0.959172 | − | 0.282823i | ||||
\(17\) | 2.07668 | − | 1.19897i | 0.503670 | − | 0.290794i | −0.226558 | − | 0.973998i | \(-0.572747\pi\) |
0.730228 | + | 0.683204i | \(0.239414\pi\) | |||||||
\(18\) | 1.41913 | − | 2.92351i | 0.334491 | − | 0.689077i | ||||
\(19\) | −4.05564 | − | 2.34152i | −0.930427 | − | 0.537182i | −0.0434803 | − | 0.999054i | \(-0.513845\pi\) |
−0.886947 | + | 0.461872i | \(0.847178\pi\) | |||||||
\(20\) | −0.742270 | + | 1.85716i | −0.165977 | + | 0.415273i | ||||
\(21\) | −1.22570 | + | 1.84723i | −0.267470 | + | 0.403099i | ||||
\(22\) | −4.74122 | − | 7.00086i | −1.01083 | − | 1.49259i | ||||
\(23\) | 5.81623 | + | 3.35800i | 1.21277 | + | 0.700191i | 0.963361 | − | 0.268208i | \(-0.0864314\pi\) |
0.249406 | + | 0.968399i | \(0.419765\pi\) | |||||||
\(24\) | −1.75229 | + | 1.59567i | −0.357685 | + | 0.325715i | ||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | 4.05605 | − | 0.291252i | 0.795456 | − | 0.0571193i | ||||
\(27\) | 4.43915i | 0.854316i | ||||||||
\(28\) | −4.35307 | + | 3.00845i | −0.822653 | + | 0.568543i | ||||
\(29\) | 1.31035i | 0.243325i | 0.992572 | + | 0.121663i | \(0.0388226\pi\) | ||||
−0.992572 | + | 0.121663i | \(0.961177\pi\) | |||||||
\(30\) | −0.0848712 | − | 1.18194i | −0.0154953 | − | 0.215791i | ||||
\(31\) | 4.34775 | + | 7.53053i | 0.780879 | + | 1.35252i | 0.931430 | + | 0.363920i | \(0.118562\pi\) |
−0.150551 | + | 0.988602i | \(0.548105\pi\) | |||||||
\(32\) | −5.29737 | + | 1.98439i | −0.936452 | + | 0.350795i | ||||
\(33\) | 4.33848 | + | 2.50482i | 0.755232 | + | 0.436034i | ||||
\(34\) | −2.80789 | + | 1.90160i | −0.481549 | + | 0.326121i | ||||
\(35\) | 0.164546 | − | 2.64063i | 0.0278133 | − | 0.446348i | ||||
\(36\) | −1.70567 | + | 4.26759i | −0.284279 | + | 0.711265i | ||||
\(37\) | −3.26889 | − | 1.88729i | −0.537402 | − | 0.310269i | 0.206624 | − | 0.978421i | \(-0.433752\pi\) |
−0.744025 | + | 0.668151i | \(0.767086\pi\) | |||||||
\(38\) | 5.95798 | + | 2.89212i | 0.966512 | + | 0.469163i | ||||
\(39\) | −2.08656 | + | 1.20468i | −0.334117 | + | 0.192903i | ||||
\(40\) | 0.858921 | − | 2.69486i | 0.135807 | − | 0.426094i | ||||
\(41\) | − | 1.79404i | − | 0.280181i | −0.990139 | − | 0.140091i | \(-0.955261\pi\) | ||
0.990139 | − | 0.140091i | \(-0.0447394\pi\) | |||||||
\(42\) | 1.54185 | − | 2.72982i | 0.237912 | − | 0.421221i | ||||
\(43\) | −6.73760 | −1.02747 | −0.513737 | − | 0.857948i | \(-0.671739\pi\) | ||||
−0.513737 | + | 0.857948i | \(0.671739\pi\) | |||||||
\(44\) | 7.39699 | + | 9.39505i | 1.11514 | + | 1.41636i | ||||
\(45\) | −1.14896 | − | 1.99005i | −0.171276 | − | 0.296659i | ||||
\(46\) | −8.54439 | − | 4.14761i | −1.25980 | − | 0.611532i | ||||
\(47\) | 0.874599 | − | 1.51485i | 0.127573 | − | 0.220963i | −0.795163 | − | 0.606396i | \(-0.792615\pi\) |
0.922736 | + | 0.385433i | \(0.125948\pi\) | |||||||
\(48\) | 2.31013 | − | 2.42831i | 0.333438 | − | 0.350497i | ||||
\(49\) | 4.22551 | − | 5.58078i | 0.603644 | − | 0.797254i | ||||
\(50\) | 0.793010 | + | 1.17095i | 0.112149 | + | 0.165598i | ||||
\(51\) | 1.00463 | − | 1.74007i | 0.140676 | − | 0.243658i | ||||
\(52\) | −5.69188 | + | 0.821671i | −0.789322 | + | 0.113945i | ||||
\(53\) | −0.0994447 | + | 0.0574144i | −0.0136598 | + | 0.00788648i | −0.506814 | − | 0.862055i | \(-0.669177\pi\) |
0.493155 | + | 0.869942i | \(0.335844\pi\) | |||||||
\(54\) | −0.449640 | − | 6.26179i | −0.0611883 | − | 0.852122i | ||||
\(55\) | −5.97876 | −0.806176 | ||||||||
\(56\) | 5.83564 | − | 4.68458i | 0.779820 | − | 0.626004i | ||||
\(57\) | −3.92395 | −0.519740 | ||||||||
\(58\) | −0.132724 | − | 1.84835i | −0.0174276 | − | 0.242700i | ||||
\(59\) | 2.61363 | − | 1.50898i | 0.340266 | − | 0.196453i | −0.320124 | − | 0.947376i | \(-0.603724\pi\) |
0.660390 | + | 0.750923i | \(0.270391\pi\) | |||||||
\(60\) | 0.239435 | + | 1.65862i | 0.0309110 | + | 0.214127i | ||||
\(61\) | 4.40120 | − | 7.62310i | 0.563516 | − | 0.976038i | −0.433670 | − | 0.901072i | \(-0.642782\pi\) |
0.997186 | − | 0.0749664i | \(-0.0238850\pi\) | |||||||
\(62\) | −6.89562 | − | 10.1820i | −0.875745 | − | 1.29312i | ||||
\(63\) | 0.378112 | − | 6.06794i | 0.0476376 | − | 0.764488i | ||||
\(64\) | 7.27138 | − | 3.33572i | 0.908923 | − | 0.416965i | ||||
\(65\) | 1.43772 | − | 2.49021i | 0.178327 | − | 0.308872i | ||||
\(66\) | −6.37349 | − | 3.09381i | −0.784522 | − | 0.380822i | ||||
\(67\) | −2.83761 | − | 4.91489i | −0.346670 | − | 0.600449i | 0.638986 | − | 0.769218i | \(-0.279354\pi\) |
−0.985656 | + | 0.168769i | \(0.946021\pi\) | |||||||
\(68\) | 3.76814 | − | 2.96677i | 0.456954 | − | 0.359773i | ||||
\(69\) | 5.62738 | 0.677457 | ||||||||
\(70\) | 0.0353631 | + | 3.74149i | 0.00422670 | + | 0.447194i | ||||
\(71\) | 3.06734i | 0.364026i | 0.983296 | + | 0.182013i | \(0.0582613\pi\) | ||||
−0.983296 | + | 0.182013i | \(0.941739\pi\) | |||||||
\(72\) | 1.97373 | − | 6.19255i | 0.232606 | − | 0.729799i | ||||
\(73\) | 8.69332 | − | 5.01909i | 1.01748 | − | 0.587440i | 0.104104 | − | 0.994566i | \(-0.466802\pi\) |
0.913372 | + | 0.407126i | \(0.133469\pi\) | |||||||
\(74\) | 4.80220 | + | 2.33108i | 0.558244 | + | 0.270982i | ||||
\(75\) | −0.725648 | − | 0.418953i | −0.0837906 | − | 0.0483765i | ||||
\(76\) | −8.69716 | − | 3.47608i | −0.997632 | − | 0.398734i | ||||
\(77\) | −13.1807 | − | 8.74583i | −1.50208 | − | 0.996680i | ||||
\(78\) | 2.82124 | − | 1.91064i | 0.319443 | − | 0.216337i | ||||
\(79\) | 11.9852 | + | 6.91965i | 1.34844 | + | 0.778522i | 0.988028 | − | 0.154272i | \(-0.0493031\pi\) |
0.360411 | + | 0.932794i | \(0.382636\pi\) | |||||||
\(80\) | −0.938618 | + | 3.88832i | −0.104941 | + | 0.434727i | ||||
\(81\) | −1.58707 | − | 2.74889i | −0.176341 | − | 0.305432i | ||||
\(82\) | 0.181717 | + | 2.53063i | 0.0200673 | + | 0.279462i | ||||
\(83\) | 17.4215i | 1.91226i | 0.292940 | + | 0.956131i | \(0.405366\pi\) | ||||
−0.292940 | + | 0.956131i | \(0.594634\pi\) | |||||||
\(84\) | −1.89840 | + | 4.00681i | −0.207132 | + | 0.437179i | ||||
\(85\) | 2.39795i | 0.260094i | ||||||||
\(86\) | 9.50393 | − | 0.682449i | 1.02484 | − | 0.0735903i | ||||
\(87\) | 0.548973 | + | 0.950850i | 0.0588561 | + | 0.101942i | ||||
\(88\) | −11.3857 | − | 12.5032i | −1.21372 | − | 1.33285i | ||||
\(89\) | −11.0658 | − | 6.38886i | −1.17297 | − | 0.677217i | −0.218596 | − | 0.975815i | \(-0.570148\pi\) |
−0.954379 | + | 0.298598i | \(0.903481\pi\) | |||||||
\(90\) | 1.82227 | + | 2.69075i | 0.192084 | + | 0.283630i | ||||
\(91\) | 6.81228 | − | 3.38674i | 0.714121 | − | 0.355026i | ||||
\(92\) | 12.4727 | + | 4.98508i | 1.30037 | + | 0.519731i | ||||
\(93\) | 6.30988 | + | 3.64301i | 0.654304 | + | 0.377762i | ||||
\(94\) | −1.08025 | + | 2.22541i | −0.111420 | + | 0.229533i | ||||
\(95\) | 4.05564 | − | 2.34152i | 0.416100 | − | 0.240235i | ||||
\(96\) | −3.01266 | + | 3.65932i | −0.307479 | + | 0.373478i | ||||
\(97\) | − | 3.76431i | − | 0.382208i | −0.981570 | − | 0.191104i | \(-0.938793\pi\) | ||
0.981570 | − | 0.191104i | \(-0.0612067\pi\) | |||||||
\(98\) | −5.39515 | + | 8.30014i | −0.544992 | + | 0.838441i | ||||
\(99\) | −13.7387 | −1.38079 | ||||||||
\(100\) | −1.23721 | − | 1.57140i | −0.123721 | − | 0.157140i | ||||
\(101\) | −8.14097 | − | 14.1006i | −0.810057 | − | 1.40306i | −0.912824 | − | 0.408354i | \(-0.866103\pi\) |
0.102767 | − | 0.994705i | \(-0.467230\pi\) | |||||||
\(102\) | −1.24086 | + | 2.55626i | −0.122863 | + | 0.253108i | ||||
\(103\) | 1.13180 | − | 1.96034i | 0.111520 | − | 0.193158i | −0.804864 | − | 0.593460i | \(-0.797762\pi\) |
0.916383 | + | 0.400302i | \(0.131095\pi\) | |||||||
\(104\) | 7.94564 | − | 1.73556i | 0.779134 | − | 0.170186i | ||||
\(105\) | −0.986898 | − | 1.98511i | −0.0963114 | − | 0.193726i | ||||
\(106\) | 0.134459 | − | 0.0910605i | 0.0130599 | − | 0.00884458i | ||||
\(107\) | 1.21095 | − | 2.09743i | 0.117067 | − | 0.202766i | −0.801537 | − | 0.597945i | \(-0.795984\pi\) |
0.918604 | + | 0.395179i | \(0.129317\pi\) | |||||||
\(108\) | 1.26851 | + | 8.78722i | 0.122062 | + | 0.845551i | ||||
\(109\) | −6.35090 | + | 3.66669i | −0.608306 | + | 0.351206i | −0.772302 | − | 0.635255i | \(-0.780895\pi\) |
0.163996 | + | 0.986461i | \(0.447561\pi\) | |||||||
\(110\) | 8.43353 | − | 0.605586i | 0.804106 | − | 0.0577404i | ||||
\(111\) | −3.16275 | −0.300195 | ||||||||
\(112\) | −7.75715 | + | 7.19908i | −0.732981 | + | 0.680249i | ||||
\(113\) | 15.0661 | 1.41730 | 0.708651 | − | 0.705559i | \(-0.249304\pi\) | ||||
0.708651 | + | 0.705559i | \(0.249304\pi\) | |||||||
\(114\) | 5.53506 | − | 0.397456i | 0.518406 | − | 0.0372251i | ||||
\(115\) | −5.81623 | + | 3.35800i | −0.542366 | + | 0.313135i | ||||
\(116\) | 0.374437 | + | 2.59380i | 0.0347656 | + | 0.240829i | ||||
\(117\) | 3.30376 | − | 5.72228i | 0.305433 | − | 0.529025i | ||||
\(118\) | −3.53390 | + | 2.39328i | −0.325322 | + | 0.220319i | ||||
\(119\) | −3.50775 | + | 5.28646i | −0.321555 | + | 0.484609i | ||||
\(120\) | −0.505744 | − | 2.31537i | −0.0461679 | − | 0.211363i | ||||
\(121\) | −12.3728 | + | 21.4303i | −1.12480 | + | 1.94821i | ||||
\(122\) | −5.43611 | + | 11.1988i | −0.492162 | + | 1.01389i | ||||
\(123\) | −0.751617 | − | 1.30184i | −0.0677710 | − | 0.117383i | ||||
\(124\) | 10.7582 | + | 13.6641i | 0.966112 | + | 1.22708i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 0.0812614 | + | 8.59762i | 0.00723934 | + | 0.765937i | ||||
\(127\) | − | 5.22434i | − | 0.463585i | −0.972765 | − | 0.231793i | \(-0.925541\pi\) | ||
0.972765 | − | 0.231793i | \(-0.0744591\pi\) | |||||||
\(128\) | −9.91900 | + | 5.44182i | −0.876724 | + | 0.480993i | ||||
\(129\) | −4.88913 | + | 2.82274i | −0.430464 | + | 0.248528i | ||||
\(130\) | −1.77579 | + | 3.65827i | −0.155747 | + | 0.320851i | ||||
\(131\) | 7.76094 | + | 4.48078i | 0.678076 | + | 0.391487i | 0.799130 | − | 0.601159i | \(-0.205294\pi\) |
−0.121054 | + | 0.992646i | \(0.538627\pi\) | |||||||
\(132\) | 9.30370 | + | 3.71851i | 0.809783 | + | 0.323655i | ||||
\(133\) | 12.3662 | + | 0.770575i | 1.07228 | + | 0.0668173i | ||||
\(134\) | 4.50051 | + | 6.64543i | 0.388785 | + | 0.574078i | ||||
\(135\) | −3.84442 | − | 2.21958i | −0.330875 | − | 0.191031i | ||||
\(136\) | −5.01477 | + | 4.56654i | −0.430013 | + | 0.391578i | ||||
\(137\) | 10.4348 | + | 18.0735i | 0.891502 | + | 1.54413i | 0.838075 | + | 0.545554i | \(0.183681\pi\) |
0.0534263 | + | 0.998572i | \(0.482986\pi\) | |||||||
\(138\) | −7.93788 | + | 0.569995i | −0.675717 | + | 0.0485212i | ||||
\(139\) | − | 12.8189i | − | 1.08728i | −0.839318 | − | 0.543641i | \(-0.817045\pi\) | ||
0.839318 | − | 0.543641i | \(-0.182955\pi\) | |||||||
\(140\) | −0.428857 | − | 5.27410i | −0.0362450 | − | 0.445742i | ||||
\(141\) | − | 1.46566i | − | 0.123431i | ||||||
\(142\) | −0.310689 | − | 4.32673i | −0.0260725 | − | 0.363091i | ||||
\(143\) | −8.59580 | − | 14.8884i | −0.718817 | − | 1.24503i | ||||
\(144\) | −2.15686 | + | 8.93501i | −0.179738 | + | 0.744584i | ||||
\(145\) | −1.13479 | − | 0.655173i | −0.0942394 | − | 0.0544091i | ||||
\(146\) | −11.7543 | + | 7.96038i | −0.972789 | + | 0.658806i | ||||
\(147\) | 0.728148 | − | 5.81997i | 0.0600566 | − | 0.480023i | ||||
\(148\) | −7.01000 | − | 2.80176i | −0.576219 | − | 0.230303i | ||||
\(149\) | −0.696284 | − | 0.402000i | −0.0570418 | − | 0.0329331i | 0.471208 | − | 0.882022i | \(-0.343818\pi\) |
−0.528250 | + | 0.849089i | \(0.677151\pi\) | |||||||
\(150\) | 1.06602 | + | 0.517467i | 0.0870403 | + | 0.0422510i | ||||
\(151\) | 11.3405 | − | 6.54743i | 0.922875 | − | 0.532822i | 0.0383242 | − | 0.999265i | \(-0.487798\pi\) |
0.884551 | + | 0.466443i | \(0.154465\pi\) | |||||||
\(152\) | 12.6201 | + | 4.02237i | 1.02363 | + | 0.326257i | ||||
\(153\) | 5.51027i | 0.445479i | ||||||||
\(154\) | 19.4783 | + | 11.0016i | 1.56960 | + | 0.886537i | ||||
\(155\) | −8.69550 | −0.698440 | ||||||||
\(156\) | −3.78606 | + | 2.98088i | −0.303128 | + | 0.238661i | ||||
\(157\) | 8.58489 | + | 14.8695i | 0.685149 | + | 1.18671i | 0.973390 | + | 0.229155i | \(0.0735962\pi\) |
−0.288241 | + | 0.957558i | \(0.593070\pi\) | |||||||
\(158\) | −17.6070 | − | 8.54676i | −1.40074 | − | 0.679944i | ||||
\(159\) | −0.0481079 | + | 0.0833254i | −0.00381521 | + | 0.00660813i | ||||
\(160\) | 0.930151 | − | 5.57986i | 0.0735349 | − | 0.441127i | ||||
\(161\) | −17.7345 | − | 1.10509i | −1.39767 | − | 0.0870932i | ||||
\(162\) | 2.51713 | + | 3.71678i | 0.197764 | + | 0.292018i | ||||
\(163\) | −2.93458 | + | 5.08284i | −0.229854 | + | 0.398119i | −0.957765 | − | 0.287553i | \(-0.907158\pi\) |
0.727911 | + | 0.685672i | \(0.240492\pi\) | |||||||
\(164\) | −0.512654 | − | 3.55126i | −0.0400315 | − | 0.277307i | ||||
\(165\) | −4.33848 | + | 2.50482i | −0.337750 | + | 0.195000i | ||||
\(166\) | −1.76462 | − | 24.5745i | −0.136961 | − | 1.90735i | ||||
\(167\) | 6.02260 | 0.466043 | 0.233022 | − | 0.972472i | \(-0.425139\pi\) | ||||
0.233022 | + | 0.972472i | \(0.425139\pi\) | |||||||
\(168\) | 2.27200 | − | 5.84422i | 0.175289 | − | 0.450891i | ||||
\(169\) | −4.73183 | −0.363987 | ||||||||
\(170\) | −0.242887 | − | 3.38250i | −0.0186286 | − | 0.259426i | ||||
\(171\) | 9.31950 | − | 5.38062i | 0.712680 | − | 0.411466i | ||||
\(172\) | −13.3369 | + | 1.92530i | −1.01693 | + | 0.146803i | ||||
\(173\) | 1.08168 | − | 1.87352i | 0.0822385 | − | 0.142441i | −0.821973 | − | 0.569527i | \(-0.807126\pi\) |
0.904211 | + | 0.427086i | \(0.140460\pi\) | |||||||
\(174\) | −0.870683 | − | 1.28565i | −0.0660063 | − | 0.0974646i | ||||
\(175\) | 2.20458 | + | 1.46282i | 0.166651 | + | 0.110578i | ||||
\(176\) | 17.3269 | + | 16.4836i | 1.30606 | + | 1.24250i | ||||
\(177\) | 1.26439 | − | 2.18998i | 0.0950371 | − | 0.164609i | ||||
\(178\) | 16.2564 | + | 7.89115i | 1.21847 | + | 0.591467i | ||||
\(179\) | 5.63498 | + | 9.76008i | 0.421178 | + | 0.729502i | 0.996055 | − | 0.0887377i | \(-0.0282833\pi\) |
−0.574877 | + | 0.818240i | \(0.694950\pi\) | |||||||
\(180\) | −2.84300 | − | 3.61095i | −0.211905 | − | 0.269144i | ||||
\(181\) | 15.2369 | 1.13255 | 0.566274 | − | 0.824217i | \(-0.308384\pi\) | ||||
0.566274 | + | 0.824217i | \(0.308384\pi\) | |||||||
\(182\) | −9.26624 | + | 5.46728i | −0.686860 | + | 0.405262i | ||||
\(183\) | − | 7.37559i | − | 0.545219i | ||||||
\(184\) | −18.0987 | − | 5.76851i | −1.33425 | − | 0.425261i | ||||
\(185\) | 3.26889 | − | 1.88729i | 0.240333 | − | 0.138757i | ||||
\(186\) | −9.26959 | − | 4.49964i | −0.679680 | − | 0.329929i | ||||
\(187\) | 12.4160 | + | 7.16838i | 0.907948 | + | 0.524204i | ||||
\(188\) | 1.29838 | − | 3.24854i | 0.0946938 | − | 0.236924i | ||||
\(189\) | −5.22850 | − | 10.5169i | −0.380317 | − | 0.764993i | ||||
\(190\) | −5.48363 | + | 3.71370i | −0.397825 | + | 0.269420i | ||||
\(191\) | −5.33642 | − | 3.08099i | −0.386130 | − | 0.222932i | 0.294352 | − | 0.955697i | \(-0.404896\pi\) |
−0.680482 | + | 0.732765i | \(0.738230\pi\) | |||||||
\(192\) | 3.87895 | − | 5.46693i | 0.279939 | − | 0.394541i | ||||
\(193\) | 5.79750 | + | 10.0416i | 0.417313 | + | 0.722808i | 0.995668 | − | 0.0929776i | \(-0.0296385\pi\) |
−0.578355 | + | 0.815785i | \(0.696305\pi\) | |||||||
\(194\) | 0.381285 | + | 5.30987i | 0.0273747 | + | 0.381226i | ||||
\(195\) | − | 2.40935i | − | 0.172537i | ||||||
\(196\) | 6.76958 | − | 12.2545i | 0.483541 | − | 0.875321i | ||||
\(197\) | 13.1499i | 0.936892i | 0.883492 | + | 0.468446i | \(0.155186\pi\) | ||||
−0.883492 | + | 0.468446i | \(0.844814\pi\) | |||||||
\(198\) | 19.3795 | − | 1.39158i | 1.37724 | − | 0.0988956i | ||||
\(199\) | −10.0683 | − | 17.4388i | −0.713724 | − | 1.23621i | −0.963450 | − | 0.267889i | \(-0.913674\pi\) |
0.249726 | − | 0.968317i | \(-0.419659\pi\) | |||||||
\(200\) | 1.90435 | + | 2.09128i | 0.134658 | + | 0.147876i | ||||
\(201\) | −4.11822 | − | 2.37765i | −0.290477 | − | 0.167707i | ||||
\(202\) | 12.9117 | + | 19.0654i | 0.908467 | + | 1.34144i | ||||
\(203\) | −1.54334 | − | 3.10437i | −0.108321 | − | 0.217884i | ||||
\(204\) | 1.49141 | − | 3.73150i | 0.104420 | − | 0.261258i | ||||
\(205\) | 1.55368 | + | 0.897018i | 0.108514 | + | 0.0626504i | ||||
\(206\) | −1.39793 | + | 2.87985i | −0.0973987 | + | 0.200649i | ||||
\(207\) | −13.3652 | + | 7.71639i | −0.928944 | + | 0.536326i | ||||
\(208\) | −11.0322 | + | 3.25296i | −0.764944 | + | 0.225552i | ||||
\(209\) | − | 27.9988i | − | 1.93672i | ||||||
\(210\) | 1.59317 | + | 2.70019i | 0.109939 | + | 0.186331i | ||||
\(211\) | 4.31289 | 0.296912 | 0.148456 | − | 0.988919i | \(-0.452570\pi\) | ||||
0.148456 | + | 0.988919i | \(0.452570\pi\) | |||||||
\(212\) | −0.180443 | + | 0.142068i | −0.0123928 | + | 0.00975724i | ||||
\(213\) | 1.28507 | + | 2.22581i | 0.0880516 | + | 0.152510i | ||||
\(214\) | −1.49570 | + | 3.08125i | −0.102244 | + | 0.210630i | ||||
\(215\) | 3.36880 | − | 5.83493i | 0.229750 | − | 0.397939i | ||||
\(216\) | −2.67939 | − | 12.2666i | −0.182309 | − | 0.834637i | ||||
\(217\) | −19.1699 | − | 12.7199i | −1.30134 | − | 0.863484i | ||||
\(218\) | 8.58706 | − | 5.81545i | 0.581589 | − | 0.393872i | ||||
\(219\) | 4.20553 | − | 7.28419i | 0.284183 | − | 0.492220i | ||||
\(220\) | −11.8348 | + | 1.70846i | −0.797905 | + | 0.115184i | ||||
\(221\) | −5.97138 | + | 3.44758i | −0.401679 | + | 0.231909i | ||||
\(222\) | 4.46132 | − | 0.320354i | 0.299424 | − | 0.0215007i | ||||
\(223\) | −11.5948 | −0.776447 | −0.388224 | − | 0.921565i | \(-0.626911\pi\) | ||||
−0.388224 | + | 0.921565i | \(0.626911\pi\) | |||||||
\(224\) | 10.2129 | − | 10.9406i | 0.682378 | − | 0.731000i | ||||
\(225\) | 2.29791 | 0.153194 | ||||||||
\(226\) | −21.2520 | + | 1.52604i | −1.41366 | + | 0.101511i | ||||
\(227\) | 16.7181 | − | 9.65222i | 1.10962 | − | 0.640640i | 0.170890 | − | 0.985290i | \(-0.445336\pi\) |
0.938731 | + | 0.344650i | \(0.112002\pi\) | |||||||
\(228\) | −7.76739 | + | 1.12129i | −0.514408 | + | 0.0742591i | ||||
\(229\) | −8.54131 | + | 14.7940i | −0.564425 | + | 0.977613i | 0.432678 | + | 0.901549i | \(0.357569\pi\) |
−0.997103 | + | 0.0760647i | \(0.975764\pi\) | |||||||
\(230\) | 7.86413 | − | 5.32585i | 0.518545 | − | 0.351176i | ||||
\(231\) | −13.2286 | − | 0.824315i | −0.870379 | − | 0.0542360i | ||||
\(232\) | −0.790899 | − | 3.62085i | −0.0519251 | − | 0.237720i | ||||
\(233\) | −6.11671 | + | 10.5945i | −0.400719 | + | 0.694066i | −0.993813 | − | 0.111068i | \(-0.964573\pi\) |
0.593094 | + | 0.805133i | \(0.297906\pi\) | |||||||
\(234\) | −4.08061 | + | 8.40638i | −0.266758 | + | 0.549542i | ||||
\(235\) | 0.874599 | + | 1.51485i | 0.0570525 | + | 0.0988179i | ||||
\(236\) | 4.74244 | − | 3.73386i | 0.308707 | − | 0.243054i | ||||
\(237\) | 11.5960 | 0.753244 | ||||||||
\(238\) | 4.41251 | − | 7.81229i | 0.286021 | − | 0.506395i | ||||
\(239\) | 1.56688i | 0.101353i | 0.998715 | + | 0.0506767i | \(0.0161378\pi\) | ||||
−0.998715 | + | 0.0506767i | \(0.983862\pi\) | |||||||
\(240\) | 0.947916 | + | 3.21479i | 0.0611877 | + | 0.207514i | ||||
\(241\) | 19.0828 | − | 11.0174i | 1.22923 | − | 0.709695i | 0.262360 | − | 0.964970i | \(-0.415499\pi\) |
0.966869 | + | 0.255275i | \(0.0821659\pi\) | |||||||
\(242\) | 15.2822 | − | 31.4825i | 0.982376 | − | 2.02377i | ||||
\(243\) | −13.8366 | − | 7.98855i | −0.887617 | − | 0.512466i | ||||
\(244\) | 6.53376 | − | 16.3474i | 0.418281 | − | 1.04654i | ||||
\(245\) | 2.72034 | + | 6.44979i | 0.173796 | + | 0.412062i | ||||
\(246\) | 1.19208 | + | 1.76022i | 0.0760042 | + | 0.112227i | ||||
\(247\) | 11.6618 | + | 6.73291i | 0.742019 | + | 0.428405i | ||||
\(248\) | −16.5593 | − | 18.1847i | −1.05152 | − | 1.15473i | ||||
\(249\) | 7.29881 | + | 12.6419i | 0.462543 | + | 0.801148i | ||||
\(250\) | −1.41058 | + | 0.101290i | −0.0892130 | + | 0.00640612i | ||||
\(251\) | 7.68553i | 0.485106i | 0.970138 | + | 0.242553i | \(0.0779849\pi\) | ||||
−0.970138 | + | 0.242553i | \(0.922015\pi\) | |||||||
\(252\) | −0.985475 | − | 12.1194i | −0.0620791 | − | 0.763451i | ||||
\(253\) | 40.1534i | 2.52442i | ||||||||
\(254\) | 0.529171 | + | 7.36936i | 0.0332032 | + | 0.462395i | ||||
\(255\) | 1.00463 | + | 1.74007i | 0.0629122 | + | 0.108967i | ||||
\(256\) | 13.4404 | − | 8.68082i | 0.840023 | − | 0.542551i | ||||
\(257\) | 1.93788 | + | 1.11883i | 0.120881 | + | 0.0697909i | 0.559221 | − | 0.829018i | \(-0.311100\pi\) |
−0.438340 | + | 0.898809i | \(0.644433\pi\) | |||||||
\(258\) | 6.61060 | − | 4.47692i | 0.411558 | − | 0.278721i | ||||
\(259\) | 9.96728 | + | 0.621092i | 0.619337 | + | 0.0385928i | ||||
\(260\) | 2.13435 | − | 5.34015i | 0.132367 | − | 0.331182i | ||||
\(261\) | −2.60765 | − | 1.50553i | −0.161410 | − | 0.0931900i | ||||
\(262\) | −11.4013 | − | 5.53440i | −0.704374 | − | 0.341916i | ||||
\(263\) | 15.0365 | − | 8.68130i | 0.927188 | − | 0.535312i | 0.0412668 | − | 0.999148i | \(-0.486861\pi\) |
0.885921 | + | 0.463836i | \(0.153527\pi\) | |||||||
\(264\) | −13.5003 | − | 4.30289i | −0.830884 | − | 0.264825i | ||||
\(265\) | − | 0.114829i | − | 0.00705388i | ||||||
\(266\) | −17.5216 | + | 0.165607i | −1.07432 | + | 0.0101540i | ||||
\(267\) | −10.7065 | −0.655229 | ||||||||
\(268\) | −7.02145 | − | 8.91807i | −0.428904 | − | 0.544758i | ||||
\(269\) | −0.374476 | − | 0.648612i | −0.0228322 | − | 0.0395466i | 0.854384 | − | 0.519643i | \(-0.173935\pi\) |
−0.877216 | + | 0.480096i | \(0.840602\pi\) | |||||||
\(270\) | 5.64769 | + | 2.74150i | 0.343707 | + | 0.166842i | ||||
\(271\) | −10.8572 | + | 18.8052i | −0.659527 | + | 1.14233i | 0.321211 | + | 0.947008i | \(0.395910\pi\) |
−0.980738 | + | 0.195327i | \(0.937423\pi\) | |||||||
\(272\) | 6.61120 | − | 6.94942i | 0.400863 | − | 0.421370i | ||||
\(273\) | 3.52444 | − | 5.31161i | 0.213309 | − | 0.321473i | ||||
\(274\) | −16.5497 | − | 24.4373i | −0.999806 | − | 1.47631i | ||||
\(275\) | 2.98938 | − | 5.17776i | 0.180266 | − | 0.312231i | ||||
\(276\) | 11.1393 | − | 1.60805i | 0.670506 | − | 0.0967931i | ||||
\(277\) | 20.4537 | − | 11.8089i | 1.22894 | − | 0.709531i | 0.262135 | − | 0.965031i | \(-0.415574\pi\) |
0.966809 | + | 0.255500i | \(0.0822402\pi\) | |||||||
\(278\) | 1.29842 | + | 18.0821i | 0.0778740 | + | 1.08449i | ||||
\(279\) | −19.9815 | −1.19626 | ||||||||
\(280\) | 1.13915 | + | 7.39610i | 0.0680771 | + | 0.442002i | ||||
\(281\) | −14.4129 | −0.859803 | −0.429901 | − | 0.902876i | \(-0.641452\pi\) | ||||
−0.429901 | + | 0.902876i | \(0.641452\pi\) | |||||||
\(282\) | 0.148456 | + | 2.06744i | 0.00884045 | + | 0.123114i | ||||
\(283\) | 10.7892 | − | 6.22915i | 0.641351 | − | 0.370284i | −0.143784 | − | 0.989609i | \(-0.545927\pi\) |
0.785135 | + | 0.619325i | \(0.212594\pi\) | |||||||
\(284\) | 0.876505 | + | 6.07173i | 0.0520110 | + | 0.360291i | ||||
\(285\) | 1.96198 | − | 3.39824i | 0.116217 | − | 0.201295i | ||||
\(286\) | 13.6331 | + | 20.1306i | 0.806143 | + | 1.19035i | ||||
\(287\) | 2.11304 | + | 4.25030i | 0.124729 | + | 0.250887i | ||||
\(288\) | 2.13741 | − | 12.8220i | 0.125948 | − | 0.755545i | ||||
\(289\) | −5.62493 | + | 9.74266i | −0.330878 | + | 0.573097i | ||||
\(290\) | 1.66708 | + | 0.809232i | 0.0978943 | + | 0.0475197i | ||||
\(291\) | −1.57707 | − | 2.73157i | −0.0924495 | − | 0.160127i | ||||
\(292\) | 15.7740 | − | 12.4194i | 0.923106 | − | 0.726788i | ||||
\(293\) | −8.47355 | −0.495030 | −0.247515 | − | 0.968884i | \(-0.579614\pi\) | ||||
−0.247515 | + | 0.968884i | \(0.579614\pi\) | |||||||
\(294\) | −0.437609 | + | 8.28330i | −0.0255219 | + | 0.483092i | ||||
\(295\) | 3.01797i | 0.175713i | ||||||||
\(296\) | 10.1720 | + | 3.24207i | 0.591234 | + | 0.188442i | ||||
\(297\) | −22.9849 | + | 13.2703i | −1.33372 | + | 0.770023i | ||||
\(298\) | 1.02288 | + | 0.496527i | 0.0592541 | + | 0.0287630i | ||||
\(299\) | −16.7242 | − | 9.65573i | −0.967187 | − | 0.558406i | ||||
\(300\) | −1.55612 | − | 0.621953i | −0.0898429 | − | 0.0359084i | ||||
\(301\) | 15.9622 | − | 7.93564i | 0.920047 | − | 0.457403i | ||||
\(302\) | −15.3335 | + | 10.3844i | −0.882343 | + | 0.597553i | ||||
\(303\) | −11.8150 | − | 6.82137i | −0.678752 | − | 0.391877i | ||||
\(304\) | −18.2092 | − | 4.39559i | −1.04437 | − | 0.252104i | ||||
\(305\) | 4.40120 | + | 7.62310i | 0.252012 | + | 0.436498i | ||||
\(306\) | −0.558133 | − | 7.77269i | −0.0319064 | − | 0.444335i | ||||
\(307\) | 11.9420i | 0.681565i | 0.940142 | + | 0.340783i | \(0.110692\pi\) | ||||
−0.940142 | + | 0.340783i | \(0.889308\pi\) | |||||||
\(308\) | −28.5900 | − | 13.5458i | −1.62907 | − | 0.771842i | ||||
\(309\) | − | 1.89668i | − | 0.107899i | ||||||
\(310\) | 12.2657 | − | 0.880764i | 0.696646 | − | 0.0500240i | ||||
\(311\) | 7.74793 | + | 13.4198i | 0.439345 | + | 0.760967i | 0.997639 | − | 0.0686757i | \(-0.0218774\pi\) |
−0.558294 | + | 0.829643i | \(0.688544\pi\) | |||||||
\(312\) | 5.03862 | − | 4.58826i | 0.285256 | − | 0.259759i | ||||
\(313\) | 14.9712 | + | 8.64360i | 0.846220 | + | 0.488565i | 0.859374 | − | 0.511348i | \(-0.170854\pi\) |
−0.0131537 | + | 0.999913i | \(0.504187\pi\) | |||||||
\(314\) | −13.6158 | − | 20.1050i | −0.768385 | − | 1.13459i | ||||
\(315\) | 5.06593 | + | 3.36142i | 0.285433 | + | 0.189395i | ||||
\(316\) | 25.7018 | + | 10.2725i | 1.44584 | + | 0.577873i | ||||
\(317\) | −7.20732 | − | 4.16115i | −0.404803 | − | 0.233713i | 0.283751 | − | 0.958898i | \(-0.408421\pi\) |
−0.688554 | + | 0.725185i | \(0.741754\pi\) | |||||||
\(318\) | 0.0594202 | − | 0.122410i | 0.00333212 | − | 0.00686442i | ||||
\(319\) | −6.78466 | + | 3.91712i | −0.379868 | + | 0.219317i | ||||
\(320\) | −0.746872 | + | 7.96506i | −0.0417514 | + | 0.445260i | ||||
\(321\) | − | 2.02933i | − | 0.113266i | ||||||
\(322\) | 25.1278 | − | 0.237499i | 1.40032 | − | 0.0132353i | ||||
\(323\) | −11.2297 | −0.624837 | ||||||||
\(324\) | −3.92708 | − | 4.98786i | −0.218171 | − | 0.277103i | ||||
\(325\) | 1.43772 | + | 2.49021i | 0.0797504 | + | 0.138132i | ||||
\(326\) | 3.62462 | − | 7.46700i | 0.200749 | − | 0.413559i | ||||
\(327\) | −3.07235 | + | 5.32146i | −0.169901 | + | 0.294277i | ||||
\(328\) | 1.08285 | + | 4.95741i | 0.0597901 | + | 0.273727i | ||||
\(329\) | −0.287823 | + | 4.61898i | −0.0158682 | + | 0.254653i | ||||
\(330\) | 5.86607 | − | 3.97270i | 0.322916 | − | 0.218690i | ||||
\(331\) | 12.6436 | − | 21.8993i | 0.694953 | − | 1.20369i | −0.275244 | − | 0.961375i | \(-0.588759\pi\) |
0.970197 | − | 0.242319i | \(-0.0779082\pi\) | |||||||
\(332\) | 4.97828 | + | 34.4856i | 0.273219 | + | 1.89264i | ||||
\(333\) | 7.51162 | − | 4.33683i | 0.411634 | − | 0.237657i | ||||
\(334\) | −8.49537 | + | 0.610027i | −0.464846 | + | 0.0333792i | ||||
\(335\) | 5.67523 | 0.310071 | ||||||||
\(336\) | −2.61288 | + | 8.47388i | −0.142544 | + | 0.462288i | ||||
\(337\) | −0.379048 | −0.0206481 | −0.0103240 | − | 0.999947i | \(-0.503286\pi\) | ||||
−0.0103240 | + | 0.999947i | \(0.503286\pi\) | |||||||
\(338\) | 6.67463 | − | 0.479285i | 0.363052 | − | 0.0260697i | ||||
\(339\) | 10.9327 | − | 6.31200i | 0.593783 | − | 0.342821i | ||||
\(340\) | 0.685224 | + | 4.74669i | 0.0371615 | + | 0.257425i | ||||
\(341\) | −25.9942 | + | 45.0232i | −1.40766 | + | 2.43815i | ||||
\(342\) | −12.6009 | + | 8.53377i | −0.681379 | + | 0.461453i | ||||
\(343\) | −3.43764 | + | 18.1984i | −0.185615 | + | 0.982623i | ||||
\(344\) | 18.6178 | − | 4.06668i | 1.00381 | − | 0.219261i | ||||
\(345\) | −2.81369 | + | 4.87345i | −0.151484 | + | 0.262378i | ||||
\(346\) | −1.33603 | + | 2.75232i | −0.0718253 | + | 0.147965i | ||||
\(347\) | 4.89803 | + | 8.48364i | 0.262940 | + | 0.455426i | 0.967022 | − | 0.254693i | \(-0.0819745\pi\) |
−0.704082 | + | 0.710119i | \(0.748641\pi\) | |||||||
\(348\) | 1.35839 | + | 1.72532i | 0.0728174 | + | 0.0924867i | ||||
\(349\) | 6.73905 | 0.360733 | 0.180366 | − | 0.983599i | \(-0.442272\pi\) | ||||
0.180366 | + | 0.983599i | \(0.442272\pi\) | |||||||
\(350\) | −3.25791 | − | 1.84012i | −0.174142 | − | 0.0983585i | ||||
\(351\) | − | 12.7645i | − | 0.681321i | ||||||
\(352\) | −26.1106 | − | 21.4964i | −1.39170 | − | 1.14576i | ||||
\(353\) | 18.5926 | − | 10.7345i | 0.989587 | − | 0.571338i | 0.0844361 | − | 0.996429i | \(-0.473091\pi\) |
0.905151 | + | 0.425091i | \(0.139758\pi\) | |||||||
\(354\) | −1.56170 | + | 3.21722i | −0.0830033 | + | 0.170993i | ||||
\(355\) | −2.65639 | − | 1.53367i | −0.140987 | − | 0.0813986i | ||||
\(356\) | −23.7302 | − | 9.48451i | −1.25770 | − | 0.502678i | ||||
\(357\) | −0.330614 | + | 5.30570i | −0.0174980 | + | 0.280807i | ||||
\(358\) | −8.93720 | − | 13.1966i | −0.472346 | − | 0.697463i | ||||
\(359\) | 4.15852 | + | 2.40092i | 0.219478 | + | 0.126716i | 0.605709 | − | 0.795687i | \(-0.292890\pi\) |
−0.386231 | + | 0.922402i | \(0.626223\pi\) | |||||||
\(360\) | 4.37604 | + | 4.80557i | 0.230638 | + | 0.253276i | ||||
\(361\) | 1.46546 | + | 2.53825i | 0.0771294 | + | 0.133592i | ||||
\(362\) | −21.4928 | + | 1.54334i | −1.12964 | + | 0.0811160i | ||||
\(363\) | 20.7345i | 1.08828i | ||||||||
\(364\) | 12.5170 | − | 8.65062i | 0.656070 | − | 0.453416i | ||||
\(365\) | 10.0382i | 0.525423i | ||||||||
\(366\) | 0.747070 | + | 10.4039i | 0.0390500 | + | 0.543819i | ||||
\(367\) | 5.81465 | + | 10.0713i | 0.303522 | + | 0.525716i | 0.976931 | − | 0.213554i | \(-0.0685040\pi\) |
−0.673409 | + | 0.739270i | \(0.735171\pi\) | |||||||
\(368\) | 26.1139 | + | 6.30376i | 1.36128 | + | 0.328606i | ||||
\(369\) | 3.57022 | + | 2.06127i | 0.185858 | + | 0.107305i | ||||
\(370\) | −4.41987 | + | 2.99328i | −0.229778 | + | 0.155613i | ||||
\(371\) | 0.167973 | − | 0.253149i | 0.00872075 | − | 0.0131429i | ||||
\(372\) | 13.5313 | + | 5.40819i | 0.701564 | + | 0.280402i | ||||
\(373\) | −25.2282 | − | 14.5655i | −1.30627 | − | 0.754174i | −0.324797 | − | 0.945784i | \(-0.605296\pi\) |
−0.981471 | + | 0.191610i | \(0.938629\pi\) | |||||||
\(374\) | −18.2399 | − | 8.85397i | −0.943161 | − | 0.457828i | ||||
\(375\) | 0.725648 | − | 0.418953i | 0.0374723 | − | 0.0216346i | ||||
\(376\) | −1.50242 | + | 4.71384i | −0.0774815 | + | 0.243098i | ||||
\(377\) | − | 3.76782i | − | 0.194053i | ||||||
\(378\) | 8.44048 | + | 14.3054i | 0.434131 | + | 0.735789i | ||||
\(379\) | 2.52399 | 0.129649 | 0.0648243 | − | 0.997897i | \(-0.479351\pi\) | ||||
0.0648243 | + | 0.997897i | \(0.479351\pi\) | |||||||
\(380\) | 7.35895 | − | 5.79392i | 0.377506 | − | 0.297222i | ||||
\(381\) | −2.18875 | − | 3.79103i | −0.112133 | − | 0.194221i | ||||
\(382\) | 7.83953 | + | 3.80546i | 0.401105 | + | 0.194704i | ||||
\(383\) | 11.6539 | − | 20.1851i | 0.595485 | − | 1.03141i | −0.397993 | − | 0.917388i | \(-0.630293\pi\) |
0.993478 | − | 0.114022i | \(-0.0363734\pi\) | |||||||
\(384\) | −4.91784 | + | 8.10444i | −0.250962 | + | 0.413578i | ||||
\(385\) | 14.1644 | − | 7.04187i | 0.721887 | − | 0.358887i | ||||
\(386\) | −9.19495 | − | 13.5772i | −0.468011 | − | 0.691062i | ||||
\(387\) | 7.74121 | − | 13.4082i | 0.393508 | − | 0.681575i | ||||
\(388\) | −1.07567 | − | 7.45138i | −0.0546088 | − | 0.378287i | ||||
\(389\) | 0.383453 | − | 0.221387i | 0.0194418 | − | 0.0112248i | −0.490248 | − | 0.871583i | \(-0.663094\pi\) |
0.509689 | + | 0.860358i | \(0.329760\pi\) | |||||||
\(390\) | 0.244042 | + | 3.39859i | 0.0123576 | + | 0.172094i | ||||
\(391\) | 16.1046 | 0.814445 | ||||||||
\(392\) | −8.30779 | + | 17.9717i | −0.419607 | + | 0.907706i | ||||
\(393\) | 7.50895 | 0.378776 | ||||||||
\(394\) | −1.33195 | − | 18.5490i | −0.0671026 | − | 0.934486i | ||||
\(395\) | −11.9852 | + | 6.91965i | −0.603041 | + | 0.348166i | ||||
\(396\) | −27.1954 | + | 3.92589i | −1.36662 | + | 0.197283i | ||||
\(397\) | 4.05153 | − | 7.01745i | 0.203340 | − | 0.352196i | −0.746262 | − | 0.665652i | \(-0.768154\pi\) |
0.949603 | + | 0.313456i | \(0.101487\pi\) | |||||||
\(398\) | 15.9685 | + | 23.5791i | 0.800431 | + | 1.18191i | ||||
\(399\) | 9.29634 | − | 4.62169i | 0.465399 | − | 0.231374i | ||||
\(400\) | −2.89807 | − | 2.75702i | −0.144904 | − | 0.137851i | ||||
\(401\) | −1.01905 | + | 1.76504i | −0.0508889 | + | 0.0881421i | −0.890348 | − | 0.455281i | \(-0.849539\pi\) |
0.839459 | + | 0.543423i | \(0.182872\pi\) | |||||||
\(402\) | 6.04991 | + | 2.93674i | 0.301742 | + | 0.146471i | ||||
\(403\) | −12.5017 | − | 21.6536i | −0.622755 | − | 1.07864i | ||||
\(404\) | −20.1442 | − | 25.5855i | −1.00221 | − | 1.27293i | ||||
\(405\) | 3.17414 | 0.157724 | ||||||||
\(406\) | 2.49145 | + | 4.22265i | 0.123649 | + | 0.209566i | ||||
\(407\) | − | 22.5674i | − | 1.11862i | ||||||
\(408\) | −1.72579 | + | 5.41465i | −0.0854394 | + | 0.268065i | ||||
\(409\) | −27.1993 | + | 15.7035i | −1.34492 | + | 0.776490i | −0.987525 | − | 0.157463i | \(-0.949668\pi\) |
−0.357395 | + | 0.933953i | \(0.616335\pi\) | |||||||
\(410\) | −2.28245 | − | 1.10795i | −0.112722 | − | 0.0547175i | ||||
\(411\) | 15.1439 | + | 8.74335i | 0.746995 | + | 0.431278i | ||||
\(412\) | 1.68020 | − | 4.20386i | 0.0827776 | − | 0.207109i | ||||
\(413\) | −4.41473 | + | 6.65334i | −0.217235 | + | 0.327390i | ||||
\(414\) | 18.0711 | − | 12.2384i | 0.888145 | − | 0.601482i | ||||
\(415\) | −15.0875 | − | 8.71077i | −0.740616 | − | 0.427595i | ||||
\(416\) | 15.2323 | − | 5.70601i | 0.746825 | − | 0.279760i | ||||
\(417\) | −5.37051 | − | 9.30199i | −0.262995 | − | 0.455521i | ||||
\(418\) | 2.83599 | + | 39.4946i | 0.138713 | + | 1.93175i | ||||
\(419\) | 18.1384i | 0.886117i | 0.896493 | + | 0.443059i | \(0.146107\pi\) | ||||
−0.896493 | + | 0.443059i | \(0.853893\pi\) | |||||||
\(420\) | −2.52080 | − | 3.64747i | −0.123002 | − | 0.177978i | ||||
\(421\) | − | 38.6453i | − | 1.88345i | −0.336377 | − | 0.941727i | \(-0.609202\pi\) | ||
0.336377 | − | 0.941727i | \(-0.390798\pi\) | |||||||
\(422\) | −6.08368 | + | 0.436851i | −0.296149 | + | 0.0212656i | ||||
\(423\) | 2.00975 | + | 3.48099i | 0.0977175 | + | 0.169252i | ||||
\(424\) | 0.240139 | − | 0.218675i | 0.0116622 | − | 0.0106198i | ||||
\(425\) | −2.07668 | − | 1.19897i | −0.100734 | − | 0.0581588i | ||||
\(426\) | −2.03815 | − | 3.00952i | −0.0987486 | − | 0.145812i | ||||
\(427\) | −1.44840 | + | 23.2439i | −0.0700928 | + | 1.12485i | ||||
\(428\) | 1.79771 | − | 4.49786i | 0.0868954 | − | 0.217412i | ||||
\(429\) | −12.4750 | − | 7.20247i | −0.602301 | − | 0.347739i | ||||
\(430\) | −4.16095 | + | 8.57187i | −0.200659 | + | 0.413372i | ||||
\(431\) | 3.59352 | − | 2.07472i | 0.173094 | − | 0.0999358i | −0.410950 | − | 0.911658i | \(-0.634803\pi\) |
0.584044 | + | 0.811722i | \(0.301470\pi\) | |||||||
\(432\) | 5.02198 | + | 17.0317i | 0.241620 | + | 0.819436i | ||||
\(433\) | − | 21.7089i | − | 1.04326i | −0.853170 | − | 0.521632i | \(-0.825323\pi\) | ||
0.853170 | − | 0.521632i | \(-0.174677\pi\) | |||||||
\(434\) | 28.3291 | + | 16.0008i | 1.35984 | + | 0.768061i | ||||
\(435\) | −1.09795 | −0.0526425 | ||||||||
\(436\) | −11.5237 | + | 9.07295i | −0.551886 | + | 0.434515i | ||||
\(437\) | −15.7257 | − | 27.2376i | −0.752260 | − | 1.30295i | ||||
\(438\) | −5.19443 | + | 10.7009i | −0.248199 | + | 0.511310i | ||||
\(439\) | −3.86516 | + | 6.69465i | −0.184474 | + | 0.319518i | −0.943399 | − | 0.331660i | \(-0.892391\pi\) |
0.758925 | + | 0.651178i | \(0.225725\pi\) | |||||||
\(440\) | 16.5210 | − | 3.60867i | 0.787606 | − | 0.172036i | ||||
\(441\) | 6.25111 | + | 14.8210i | 0.297672 | + | 0.705764i | ||||
\(442\) | 8.07392 | − | 5.46793i | 0.384037 | − | 0.260083i | ||||
\(443\) | −8.93181 | + | 15.4704i | −0.424363 | + | 0.735019i | −0.996361 | − | 0.0852368i | \(-0.972835\pi\) |
0.571998 | + | 0.820255i | \(0.306169\pi\) | |||||||
\(444\) | −6.26060 | + | 0.903770i | −0.297115 | + | 0.0428910i | ||||
\(445\) | 11.0658 | − | 6.38886i | 0.524570 | − | 0.302861i | ||||
\(446\) | 16.3555 | − | 1.17444i | 0.774453 | − | 0.0556111i | ||||
\(447\) | −0.673676 | −0.0318638 | ||||||||
\(448\) | −13.2980 | + | 16.4671i | −0.628269 | + | 0.777996i | ||||
\(449\) | 29.3236 | 1.38387 | 0.691933 | − | 0.721961i | \(-0.256759\pi\) | ||||
0.691933 | + | 0.721961i | \(0.256759\pi\) | |||||||
\(450\) | −3.24139 | + | 0.232755i | −0.152801 | + | 0.0109722i | ||||
\(451\) | 9.28909 | − | 5.36306i | 0.437406 | − | 0.252537i | ||||
\(452\) | 29.8231 | − | 4.30521i | 1.40276 | − | 0.202500i | ||||
\(453\) | 5.48613 | − | 9.50226i | 0.257761 | − | 0.446455i | ||||
\(454\) | −22.6046 | + | 15.3086i | −1.06089 | + | 0.718469i | ||||
\(455\) | −0.473142 | + | 7.59298i | −0.0221812 | + | 0.355964i | ||||
\(456\) | 10.8430 | − | 2.36842i | 0.507768 | − | 0.110912i | ||||
\(457\) | −4.64207 | + | 8.04029i | −0.217147 | + | 0.376109i | −0.953935 | − | 0.300015i | \(-0.903008\pi\) |
0.736788 | + | 0.676124i | \(0.236342\pi\) | |||||||
\(458\) | 10.5497 | − | 21.7333i | 0.492957 | − | 1.01553i | ||||
\(459\) | 5.32243 | + | 9.21872i | 0.248430 | + | 0.430293i | ||||
\(460\) | −10.5535 | + | 8.30911i | −0.492061 | + | 0.387414i | ||||
\(461\) | 0.401756 | 0.0187116 | 0.00935582 | − | 0.999956i | \(-0.497022\pi\) | ||||
0.00935582 | + | 0.999956i | \(0.497022\pi\) | |||||||
\(462\) | 18.7435 | − | 0.177157i | 0.872028 | − | 0.00824207i | ||||
\(463\) | 9.04694i | 0.420447i | 0.977653 | + | 0.210223i | \(0.0674191\pi\) | ||||
−0.977653 | + | 0.210223i | \(0.932581\pi\) | |||||||
\(464\) | 1.48238 | + | 5.02739i | 0.0688179 | + | 0.233391i | ||||
\(465\) | −6.30988 | + | 3.64301i | −0.292614 | + | 0.168940i | ||||
\(466\) | 7.55501 | − | 15.5639i | 0.349979 | − | 0.720984i | ||||
\(467\) | −10.4257 | − | 6.01931i | −0.482446 | − | 0.278540i | 0.238989 | − | 0.971022i | \(-0.423184\pi\) |
−0.721435 | + | 0.692482i | \(0.756517\pi\) | |||||||
\(468\) | 4.90456 | − | 12.2712i | 0.226713 | − | 0.567237i | ||||
\(469\) | 12.5115 | + | 8.30181i | 0.577727 | + | 0.383342i | ||||
\(470\) | −1.38713 | − | 2.04823i | −0.0639836 | − | 0.0944778i | ||||
\(471\) | 12.4592 | + | 7.19333i | 0.574091 | + | 0.331451i | ||||
\(472\) | −6.31140 | + | 5.74727i | −0.290506 | + | 0.264540i | ||||
\(473\) | −20.1413 | − | 34.8857i | −0.926096 | − | 1.60405i | ||||
\(474\) | −16.3572 | + | 1.17456i | −0.751310 | + | 0.0539493i | ||||
\(475\) | 4.68305i | 0.214873i | ||||||||
\(476\) | −5.43290 | + | 11.4668i | −0.249017 | + | 0.525580i | ||||
\(477\) | − | 0.263867i | − | 0.0120816i | ||||||
\(478\) | −0.158709 | − | 2.21022i | −0.00725919 | − | 0.101093i | ||||
\(479\) | −1.59624 | − | 2.76477i | −0.0729340 | − | 0.126325i | 0.827252 | − | 0.561831i | \(-0.189903\pi\) |
−0.900186 | + | 0.435506i | \(0.856570\pi\) | |||||||
\(480\) | −1.66274 | − | 4.43870i | −0.0758932 | − | 0.202598i | ||||
\(481\) | 9.39950 | + | 5.42680i | 0.428580 | + | 0.247441i | ||||
\(482\) | −25.8018 | + | 17.4739i | −1.17524 | + | 0.795913i | ||||
\(483\) | −13.3320 | + | 6.62800i | −0.606625 | + | 0.301585i | ||||
\(484\) | −18.3679 | + | 45.9565i | −0.834905 | + | 2.08893i | ||||
\(485\) | 3.25999 | + | 1.88216i | 0.148028 | + | 0.0854643i | ||||
\(486\) | 20.3268 | + | 9.86700i | 0.922041 | + | 0.447576i | ||||
\(487\) | 3.30907 | − | 1.91049i | 0.149948 | − | 0.0865727i | −0.423149 | − | 0.906060i | \(-0.639075\pi\) |
0.573097 | + | 0.819488i | \(0.305742\pi\) | |||||||
\(488\) | −7.56057 | + | 23.7212i | −0.342251 | + | 1.07381i | ||||
\(489\) | 4.91781i | 0.222391i | ||||||||
\(490\) | −4.49056 | − | 8.82241i | −0.202863 | − | 0.398556i | ||||
\(491\) | −42.7678 | −1.93008 | −0.965041 | − | 0.262097i | \(-0.915586\pi\) | ||||
−0.965041 | + | 0.262097i | \(0.915586\pi\) | |||||||
\(492\) | −1.85982 | − | 2.36219i | −0.0838471 | − | 0.106496i | ||||
\(493\) | 1.57107 | + | 2.72117i | 0.0707574 | + | 0.122555i | ||||
\(494\) | −17.1318 | − | 8.31611i | −0.770797 | − | 0.374160i | ||||
\(495\) | 6.86934 | − | 11.8980i | 0.308754 | − | 0.534777i | ||||
\(496\) | 25.2002 | + | 23.9737i | 1.13152 | + | 1.07645i | ||||
\(497\) | −3.61275 | − | 7.26690i | −0.162054 | − | 0.325965i | ||||
\(498\) | −11.5761 | − | 17.0931i | −0.518735 | − | 0.765962i | ||||
\(499\) | −3.71383 | + | 6.43253i | −0.166254 | + | 0.287960i | −0.937100 | − | 0.349062i | \(-0.886500\pi\) |
0.770846 | + | 0.637021i | \(0.219834\pi\) | |||||||
\(500\) | 1.97948 | − | 0.285754i | 0.0885251 | − | 0.0127793i | ||||
\(501\) | 4.37029 | − | 2.52319i | 0.195250 | − | 0.112728i | ||||
\(502\) | −0.778464 | − | 10.8411i | −0.0347445 | − | 0.483860i | ||||
\(503\) | −41.0916 | −1.83219 | −0.916093 | − | 0.400966i | \(-0.868674\pi\) | ||||
−0.916093 | + | 0.400966i | \(0.868674\pi\) | |||||||
\(504\) | 2.61766 | + | 16.9956i | 0.116600 | + | 0.757044i | ||||
\(505\) | 16.2819 | 0.724537 | ||||||||
\(506\) | −4.06712 | − | 56.6396i | −0.180805 | − | 2.51794i | ||||
\(507\) | −3.43364 | + | 1.98241i | −0.152493 | + | 0.0880421i | ||||
\(508\) | −1.49288 | − | 10.3415i | −0.0662358 | − | 0.458829i | ||||
\(509\) | 17.7683 | − | 30.7755i | 0.787564 | − | 1.36410i | −0.139891 | − | 0.990167i | \(-0.544675\pi\) |
0.927455 | − | 0.373934i | \(-0.121991\pi\) | |||||||
\(510\) | −1.59336 | − | 2.35275i | −0.0705551 | − | 0.104181i | ||||
\(511\) | −14.6840 | + | 22.1300i | −0.649582 | + | 0.978972i | ||||
\(512\) | −18.0794 | + | 13.6064i | −0.799006 | + | 0.601323i | ||||
\(513\) | 10.3944 | − | 18.0036i | 0.458923 | − | 0.794878i | ||||
\(514\) | −2.84686 | − | 1.38192i | −0.125569 | − | 0.0609538i | ||||
\(515\) | 1.13180 | + | 1.96034i | 0.0498731 | + | 0.0863827i | ||||
\(516\) | −8.87132 | + | 6.98465i | −0.390538 | + | 0.307482i | ||||
\(517\) | 10.4580 | 0.459944 | ||||||||
\(518\) | −14.1226 | + | 0.133481i | −0.620510 | + | 0.00586482i | ||||
\(519\) | − | 1.81269i | − | 0.0795683i | ||||||
\(520\) | −2.46978 | + | 7.74891i | −0.108307 | + | 0.339812i | ||||
\(521\) | −31.1264 | + | 17.9708i | −1.36367 | + | 0.787316i | −0.990111 | − | 0.140289i | \(-0.955197\pi\) |
−0.373561 | + | 0.927606i | \(0.621863\pi\) | |||||||
\(522\) | 3.83080 | + | 1.85954i | 0.167670 | + | 0.0813901i | ||||
\(523\) | −26.6453 | − | 15.3837i | −1.16512 | − | 0.672681i | −0.212592 | − | 0.977141i | \(-0.568191\pi\) |
−0.952525 | + | 0.304460i | \(0.901524\pi\) | |||||||
\(524\) | 16.6430 | + | 6.65189i | 0.727054 | + | 0.290589i | ||||
\(525\) | 2.21260 | + | 0.137874i | 0.0965658 | + | 0.00601731i | ||||
\(526\) | −20.3308 | + | 13.7687i | −0.886466 | + | 0.600345i | ||||
\(527\) | 18.0578 | + | 10.4257i | 0.786610 | + | 0.454150i | ||||
\(528\) | 19.4791 | + | 4.70214i | 0.847718 | + | 0.204634i | ||||
\(529\) | 11.0523 | + | 19.1432i | 0.480536 | + | 0.832312i | ||||
\(530\) | 0.0116310 | + | 0.161976i | 0.000505217 | + | 0.00703577i | ||||
\(531\) | 6.93502i | 0.300954i | ||||||||
\(532\) | 24.6988 | − | 2.00835i | 1.07083 | − | 0.0870732i | ||||
\(533\) | 5.15865i | 0.223446i | ||||||||
\(534\) | 15.1024 | − | 1.08446i | 0.653546 | − | 0.0469292i | ||||
\(535\) | 1.21095 | + | 2.09743i | 0.0523540 | + | 0.0906798i | ||||
\(536\) | 10.8076 | + | 11.8685i | 0.466819 | + | 0.512640i | ||||
\(537\) | 8.17803 | + | 4.72159i | 0.352908 | + | 0.203752i | ||||
\(538\) | 0.593927 | + | 0.876990i | 0.0256060 | + | 0.0378097i | ||||
\(539\) | 41.5276 | + | 5.19560i | 1.78872 | + | 0.223790i | ||||
\(540\) | −8.24421 | − | 3.29505i | −0.354774 | − | 0.141796i | ||||
\(541\) | 6.51224 | + | 3.75984i | 0.279983 | + | 0.161648i | 0.633416 | − | 0.773812i | \(-0.281652\pi\) |
−0.353433 | + | 0.935460i | \(0.614986\pi\) | |||||||
\(542\) | 13.4102 | − | 27.6260i | 0.576016 | − | 1.18664i | ||||
\(543\) | 11.0566 | − | 6.38354i | 0.474484 | − | 0.273944i | ||||
\(544\) | −8.62173 | + | 10.4724i | −0.369654 | + | 0.448999i | ||||
\(545\) | − | 7.33339i | − | 0.314128i | ||||||
\(546\) | −4.43350 | + | 7.84944i | −0.189736 | + | 0.335925i | ||||
\(547\) | 10.8177 | 0.462531 | 0.231265 | − | 0.972891i | \(-0.425713\pi\) | ||||
0.231265 | + | 0.972891i | \(0.425713\pi\) | |||||||
\(548\) | 25.8200 | + | 32.7944i | 1.10298 | + | 1.40091i | ||||
\(549\) | 10.1136 | + | 17.5172i | 0.431637 | + | 0.747617i | ||||
\(550\) | −3.69231 | + | 7.60645i | −0.157441 | + | 0.324340i | ||||
\(551\) | 3.06820 | − | 5.31428i | 0.130710 | − | 0.226396i | ||||
\(552\) | −15.5500 | + | 3.39658i | −0.661852 | + | 0.144568i | ||||
\(553\) | −36.5445 | − | 2.27720i | −1.55403 | − | 0.0968364i | ||||
\(554\) | −27.6555 | + | 18.7292i | −1.17497 | + | 0.795729i | ||||
\(555\) | 1.58137 | − | 2.73902i | 0.0671256 | − | 0.116265i | ||||
\(556\) | −3.66305 | − | 25.3747i | −0.155348 | − | 1.07613i | ||||
\(557\) | −20.6521 | + | 11.9235i | −0.875057 | + | 0.505214i | −0.869025 | − | 0.494767i | \(-0.835253\pi\) |
−0.00603158 | + | 0.999982i | \(0.501920\pi\) | |||||||
\(558\) | 28.1856 | − | 2.02392i | 1.19319 | − | 0.0856793i | ||||
\(559\) | 19.3736 | 0.819415 | ||||||||
\(560\) | −2.35601 | − | 10.3174i | −0.0995596 | − | 0.435991i | ||||
\(561\) | 12.0129 | 0.507183 | ||||||||
\(562\) | 20.3306 | − | 1.45988i | 0.857595 | − | 0.0615813i | ||||
\(563\) | −1.24064 | + | 0.716284i | −0.0522868 | + | 0.0301878i | −0.525916 | − | 0.850537i | \(-0.676277\pi\) |
0.473629 | + | 0.880725i | \(0.342944\pi\) | |||||||
\(564\) | −0.418820 | − | 2.90125i | −0.0176355 | − | 0.122165i | ||||
\(565\) | −7.53306 | + | 13.0476i | −0.316918 | + | 0.548919i | ||||
\(566\) | −14.5881 | + | 9.87955i | −0.613183 | + | 0.415269i | ||||
\(567\) | 6.99765 | + | 4.64319i | 0.293874 | + | 0.194995i | ||||
\(568\) | −1.85138 | − | 8.47589i | −0.0776824 | − | 0.355641i | ||||
\(569\) | 13.6099 | − | 23.5731i | 0.570558 | − | 0.988235i | −0.425951 | − | 0.904746i | \(-0.640060\pi\) |
0.996509 | − | 0.0834885i | \(-0.0266062\pi\) | |||||||
\(570\) | −2.42332 | + | 4.99223i | −0.101502 | + | 0.209101i | ||||
\(571\) | −6.19271 | − | 10.7261i | −0.259157 | − | 0.448873i | 0.706859 | − | 0.707354i | \(-0.250111\pi\) |
−0.966016 | + | 0.258481i | \(0.916778\pi\) | |||||||
\(572\) | −21.2696 | − | 27.0149i | −0.889328 | − | 1.12955i | ||||
\(573\) | −5.16316 | −0.215694 | ||||||||
\(574\) | −3.41113 | − | 5.78136i | −0.142378 | − | 0.241309i | ||||
\(575\) | − | 6.71600i | − | 0.280076i | ||||||
\(576\) | −1.71625 | + | 18.3030i | −0.0715103 | + | 0.762626i | ||||
\(577\) | 20.3920 | − | 11.7733i | 0.848929 | − | 0.490130i | −0.0113602 | − | 0.999935i | \(-0.503616\pi\) |
0.860289 | + | 0.509806i | \(0.170283\pi\) | |||||||
\(578\) | 6.94759 | − | 14.3126i | 0.288982 | − | 0.595324i | ||||
\(579\) | 8.41389 | + | 4.85776i | 0.349669 | + | 0.201882i | ||||
\(580\) | −2.43352 | − | 0.972630i | −0.101046 | − | 0.0403863i | ||||
\(581\) | −20.5193 | − | 41.2738i | −0.851285 | − | 1.71233i | ||||
\(582\) | 2.50126 | + | 3.69335i | 0.103681 | + | 0.153094i | ||||
\(583\) | −0.594557 | − | 0.343267i | −0.0246240 | − | 0.0142167i | ||||
\(584\) | −20.9926 | + | 19.1163i | −0.868681 | + | 0.791036i | ||||
\(585\) | 3.30376 | + | 5.72228i | 0.136594 | + | 0.236587i | ||||
\(586\) | 11.9526 | − | 0.858282i | 0.493759 | − | 0.0354553i | ||||
\(587\) | − | 28.0077i | − | 1.15600i | −0.816036 | − | 0.578001i | \(-0.803833\pi\) | ||
0.816036 | − | 0.578001i | \(-0.196167\pi\) | |||||||
\(588\) | −0.221728 | − | 11.7286i | −0.00914391 | − | 0.483679i | ||||
\(589\) | − | 40.7214i | − | 1.67790i | ||||||
\(590\) | −0.305688 | − | 4.25709i | −0.0125850 | − | 0.175261i | ||||
\(591\) | 5.50920 | + | 9.54221i | 0.226618 | + | 0.392514i | ||||
\(592\) | −14.6768 | − | 3.54289i | −0.603212 | − | 0.145612i | ||||
\(593\) | −28.9741 | − | 16.7282i | −1.18982 | − | 0.686945i | −0.231557 | − | 0.972821i | \(-0.574382\pi\) |
−0.958266 | + | 0.285877i | \(0.907715\pi\) | |||||||
\(594\) | 31.0779 | − | 21.0470i | 1.27514 | − | 0.863569i | ||||
\(595\) | −2.82434 | − | 5.68104i | −0.115786 | − | 0.232900i | ||||
\(596\) | −1.49315 | − | 0.596785i | −0.0611620 | − | 0.0244452i | ||||
\(597\) | −14.6121 | − | 8.43630i | −0.598034 | − | 0.345275i | ||||
\(598\) | 24.5689 | + | 11.9262i | 1.00470 | + | 0.487699i | ||||
\(599\) | 37.2436 | − | 21.5026i | 1.52173 | − | 0.878571i | 0.522060 | − | 0.852909i | \(-0.325164\pi\) |
0.999671 | − | 0.0256625i | \(-0.00816953\pi\) | |||||||
\(600\) | 2.25804 | + | 0.719696i | 0.0921840 | + | 0.0293815i | ||||
\(601\) | − | 32.3145i | − | 1.31813i | −0.752084 | − | 0.659067i | \(-0.770951\pi\) | ||
0.752084 | − | 0.659067i | \(-0.229049\pi\) | |||||||
\(602\) | −21.7122 | + | 12.8107i | −0.884924 | + | 0.522124i | ||||
\(603\) | 13.0412 | 0.531078 | ||||||||
\(604\) | 20.5773 | − | 16.2011i | 0.837279 | − | 0.659214i | ||||
\(605\) | −12.3728 | − | 21.4303i | −0.503026 | − | 0.871267i | ||||
\(606\) | 17.3569 | + | 8.42536i | 0.705076 | + | 0.342257i | ||||
\(607\) | −6.75765 | + | 11.7046i | −0.274285 | + | 0.475075i | −0.969954 | − | 0.243287i | \(-0.921774\pi\) |
0.695670 | + | 0.718362i | \(0.255108\pi\) | |||||||
\(608\) | 26.1307 | + | 4.35594i | 1.05974 | + | 0.176657i | ||||
\(609\) | −2.42051 | − | 1.60609i | −0.0980841 | − | 0.0650822i | ||||
\(610\) | −6.98039 | − | 10.3072i | −0.282628 | − | 0.417327i | ||||
\(611\) | −2.51486 | + | 4.35586i | −0.101740 | + | 0.176219i | ||||
\(612\) | 1.57459 | + | 10.9075i | 0.0636488 | + | 0.440909i | ||||
\(613\) | −5.63444 | + | 3.25304i | −0.227573 | + | 0.131389i | −0.609452 | − | 0.792823i | \(-0.708610\pi\) |
0.381879 | + | 0.924212i | \(0.375277\pi\) | |||||||
\(614\) | −1.20960 | − | 16.8451i | −0.0488154 | − | 0.679815i | ||||
\(615\) | 1.50323 | 0.0606162 | ||||||||
\(616\) | 41.7006 | + | 16.2115i | 1.68017 | + | 0.653182i | ||||
\(617\) | −1.66184 | −0.0669033 | −0.0334516 | − | 0.999440i | \(-0.510650\pi\) | ||||
−0.0334516 | + | 0.999440i | \(0.510650\pi\) | |||||||
\(618\) | 0.192114 | + | 2.67543i | 0.00772798 | + | 0.107622i | ||||
\(619\) | −24.5080 | + | 14.1497i | −0.985061 | + | 0.568725i | −0.903794 | − | 0.427967i | \(-0.859230\pi\) |
−0.0812670 | + | 0.996692i | \(0.525897\pi\) | |||||||
\(620\) | −17.2126 | + | 2.48478i | −0.691274 | + | 0.0997911i | ||||
\(621\) | −14.9067 | + | 25.8191i | −0.598184 | + | 1.03609i | ||||
\(622\) | −12.2884 | − | 18.1449i | −0.492719 | − | 0.727546i | ||||
\(623\) | 33.7412 | + | 2.10252i | 1.35181 | + | 0.0842356i | ||||
\(624\) | −6.64264 | + | 6.98247i | −0.265919 | + | 0.279523i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | −21.9935 | − | 10.6761i | −0.879039 | − | 0.426702i | ||||
\(627\) | −11.7302 | − | 20.3173i | −0.468459 | − | 0.811395i | ||||
\(628\) | 21.2426 | + | 26.9807i | 0.847674 | + | 1.07665i | ||||
\(629\) | −9.05126 | −0.360897 | ||||||||
\(630\) | −7.48639 | − | 4.22844i | −0.298265 | − | 0.168465i | ||||
\(631\) | − | 48.7721i | − | 1.94159i | −0.239918 | − | 0.970793i | \(-0.577121\pi\) | ||
0.239918 | − | 0.970793i | \(-0.422879\pi\) | |||||||
\(632\) | −37.2950 | − | 11.8869i | −1.48351 | − | 0.472835i | ||||
\(633\) | 3.12964 | − | 1.80690i | 0.124392 | − | 0.0718178i | ||||
\(634\) | 10.5880 | + | 5.13961i | 0.420503 | + | 0.204120i | ||||
\(635\) | 4.52441 | + | 2.61217i | 0.179546 | + | 0.103661i | ||||
\(636\) | −0.0714181 | + | 0.178688i | −0.00283191 | + | 0.00708544i | ||||
\(637\) | −12.1502 | + | 16.0472i | −0.481409 | + | 0.635814i | ||||
\(638\) | 9.17355 | − | 6.21264i | 0.363184 | − | 0.245961i | ||||
\(639\) | −6.10415 | − | 3.52424i | −0.241477 | − | 0.139417i | ||||
\(640\) | 0.246747 | − | 11.3110i | 0.00975353 | − | 0.447107i | ||||
\(641\) | −10.8633 | − | 18.8158i | −0.429074 | − | 0.743178i | 0.567717 | − | 0.823224i | \(-0.307827\pi\) |
−0.996791 | + | 0.0800459i | \(0.974493\pi\) | |||||||
\(642\) | 0.205550 | + | 2.86253i | 0.00811241 | + | 0.112975i | ||||
\(643\) | − | 7.13929i | − | 0.281546i | −0.990042 | − | 0.140773i | \(-0.955041\pi\) | ||
0.990042 | − | 0.140773i | \(-0.0449588\pi\) | |||||||
\(644\) | −35.4208 | + | 2.88020i | −1.39578 | + | 0.113496i | ||||
\(645\) | − | 5.64548i | − | 0.222290i | ||||||
\(646\) | 15.8404 | − | 1.13745i | 0.623232 | − | 0.0447524i | ||||
\(647\) | −4.58700 | − | 7.94492i | −0.180334 | − | 0.312347i | 0.761661 | − | 0.647976i | \(-0.224384\pi\) |
−0.941994 | + | 0.335629i | \(0.891051\pi\) | |||||||
\(648\) | 6.04469 | + | 6.63801i | 0.237458 | + | 0.260766i | ||||
\(649\) | 15.6263 | + | 9.02185i | 0.613386 | + | 0.354139i | ||||
\(650\) | −2.28026 | − | 3.36701i | −0.0894390 | − | 0.132065i | ||||
\(651\) | −19.2397 | − | 1.19888i | −0.754062 | − | 0.0469879i | ||||
\(652\) | −4.35650 | + | 10.9000i | −0.170614 | + | 0.426875i | ||||
\(653\) | 0.710174 | + | 0.410019i | 0.0277913 | + | 0.0160453i | 0.513831 | − | 0.857891i | \(-0.328226\pi\) |
−0.486040 | + | 0.873937i | \(0.661559\pi\) | |||||||
\(654\) | 3.79479 | − | 7.81755i | 0.148388 | − | 0.305690i | ||||
\(655\) | −7.76094 | + | 4.48078i | −0.303245 | + | 0.175079i | ||||
\(656\) | −2.02958 | − | 6.88316i | −0.0792416 | − | 0.268742i | ||||
\(657\) | 23.0669i | 0.899924i | ||||||||
\(658\) | −0.0618571 | − | 6.54460i | −0.00241144 | − | 0.255135i | ||||
\(659\) | −10.4133 | −0.405645 | −0.202823 | − | 0.979216i | \(-0.565011\pi\) | ||||
−0.202823 | + | 0.979216i | \(0.565011\pi\) | |||||||
\(660\) | −7.87217 | + | 6.19799i | −0.306424 | + | 0.241256i | ||||
\(661\) | 2.76908 | + | 4.79619i | 0.107705 | + | 0.186550i | 0.914840 | − | 0.403816i | \(-0.132317\pi\) |
−0.807135 | + | 0.590367i | \(0.798983\pi\) | |||||||
\(662\) | −15.6166 | + | 32.1714i | −0.606957 | + | 1.25038i | ||||
\(663\) | −2.88875 | + | 5.00346i | −0.112190 | + | 0.194318i | ||||
\(664\) | −10.5153 | − | 48.1405i | −0.408073 | − | 1.86821i | ||||
\(665\) | −6.85043 | + | 10.3241i | −0.265648 | + | 0.400353i | ||||
\(666\) | −10.1565 | + | 6.87831i | −0.393555 | + | 0.266529i | ||||
\(667\) | −4.40014 | + | 7.62126i | −0.170374 | + | 0.295097i | ||||
\(668\) | 11.9216 | − | 1.72099i | 0.461262 | − | 0.0665869i | ||||
\(669\) | −8.41377 | + | 4.85769i | −0.325295 | + | 0.187809i | ||||
\(670\) | −8.00537 | + | 0.574841i | −0.309274 | + | 0.0222081i | ||||
\(671\) | 52.6275 | 2.03166 | ||||||||
\(672\) | 2.82737 | − | 12.2178i | 0.109068 | − | 0.471310i | ||||
\(673\) | 28.9492 | 1.11591 | 0.557956 | − | 0.829871i | \(-0.311586\pi\) | ||||
0.557956 | + | 0.829871i | \(0.311586\pi\) | |||||||
\(674\) | 0.534679 | − | 0.0383937i | 0.0205951 | − | 0.00147887i | ||||
\(675\) | 3.84442 | − | 2.21958i | 0.147972 | − | 0.0854316i | ||||
\(676\) | −9.36656 | + | 1.35214i | −0.360252 | + | 0.0520054i | ||||
\(677\) | 2.77831 | − | 4.81218i | 0.106779 | − | 0.184947i | −0.807685 | − | 0.589615i | \(-0.799280\pi\) |
0.914464 | + | 0.404668i | \(0.132613\pi\) | |||||||
\(678\) | −14.7821 | + | 10.0110i | −0.567705 | + | 0.384469i | ||||
\(679\) | 4.43366 | + | 8.91812i | 0.170148 | + | 0.342246i | ||||
\(680\) | −1.44735 | − | 6.62619i | −0.0555035 | − | 0.254103i | ||||
\(681\) | 8.08766 | − | 14.0082i | 0.309920 | − | 0.536797i | ||||
\(682\) | 32.1065 | − | 66.1419i | 1.22942 | − | 2.53270i | ||||
\(683\) | −17.5473 | − | 30.3928i | −0.671428 | − | 1.16295i | −0.977499 | − | 0.210939i | \(-0.932348\pi\) |
0.306071 | − | 0.952009i | \(-0.400986\pi\) | |||||||
\(684\) | 16.9102 | − | 13.3139i | 0.646579 | − | 0.509070i | ||||
\(685\) | −20.8695 | −0.797383 | ||||||||
\(686\) | 3.00576 | − | 26.0186i | 0.114760 | − | 0.993393i | ||||
\(687\) | 14.3136i | 0.546099i | ||||||||
\(688\) | −25.8501 | + | 7.62218i | −0.985525 | + | 0.290593i | ||||
\(689\) | 0.285948 | − | 0.165092i | 0.0108937 | − | 0.00628950i | ||||
\(690\) | 3.47531 | − | 7.15940i | 0.132303 | − | 0.272554i | ||||
\(691\) | 6.28794 | + | 3.63035i | 0.239205 | + | 0.138105i | 0.614811 | − | 0.788674i | \(-0.289232\pi\) |
−0.375606 | + | 0.926779i | \(0.622566\pi\) | |||||||
\(692\) | 1.60579 | − | 4.01769i | 0.0610431 | − | 0.152730i | ||||
\(693\) | 32.5486 | − | 16.1816i | 1.23642 | − | 0.614688i | ||||
\(694\) | −7.76838 | − | 11.4707i | −0.294884 | − | 0.435424i | ||||
\(695\) | 11.1015 | + | 6.40944i | 0.421103 | + | 0.243124i | ||||
\(696\) | −2.09088 | − | 2.29611i | −0.0792546 | − | 0.0870338i | ||||
\(697\) | −2.15100 | − | 3.72564i | −0.0814750 | − | 0.141119i | ||||
\(698\) | −9.50598 | + | 0.682595i | −0.359807 | + | 0.0258366i | ||||
\(699\) | 10.2505i | 0.387708i | ||||||||
\(700\) | 4.78193 | + | 2.26565i | 0.180740 | + | 0.0856334i | ||||
\(701\) | − | 2.84288i | − | 0.107374i | −0.998558 | − | 0.0536870i | \(-0.982903\pi\) | ||
0.998558 | − | 0.0536870i | \(-0.0170973\pi\) | |||||||
\(702\) | 1.29291 | + | 18.0054i | 0.0487979 | + | 0.679571i | ||||
\(703\) | 8.83828 | + | 15.3083i | 0.333342 | + | 0.577365i | ||||
\(704\) | 39.0085 | + | 27.6777i | 1.47019 | + | 1.04314i | ||||
\(705\) | 1.26930 | + | 0.732832i | 0.0478047 | + | 0.0276000i | ||||
\(706\) | −25.1392 | + | 17.0251i | −0.946125 | + | 0.640748i | ||||
\(707\) | 35.8948 | + | 23.8175i | 1.34996 | + | 0.895748i | ||||
\(708\) | 1.87703 | − | 4.69633i | 0.0705432 | − | 0.176499i | ||||
\(709\) | 14.8464 | + | 8.57155i | 0.557567 | + | 0.321911i | 0.752168 | − | 0.658971i | \(-0.229008\pi\) |
−0.194601 | + | 0.980882i | \(0.562341\pi\) | |||||||
\(710\) | 3.90240 | + | 1.89430i | 0.146454 | + | 0.0710918i | ||||
\(711\) | −27.5409 | + | 15.9008i | −1.03287 | + | 0.596325i | ||||
\(712\) | 34.4341 | + | 10.9751i | 1.29047 | + | 0.411307i | ||||
\(713\) | 58.3990i | 2.18706i | ||||||||
\(714\) | −0.0710535 | − | 7.51761i | −0.00265911 | − | 0.281339i | ||||
\(715\) | 17.1916 | 0.642929 | ||||||||
\(716\) | 13.9433 | + | 17.7097i | 0.521087 | + | 0.661841i | ||||
\(717\) | 0.656451 | + | 1.13701i | 0.0245156 | + | 0.0424623i | ||||
\(718\) | −6.10911 | − | 2.96548i | −0.227990 | − | 0.110671i | ||||
\(719\) | −11.0395 | + | 19.1210i | −0.411705 | + | 0.713094i | −0.995076 | − | 0.0991116i | \(-0.968400\pi\) |
0.583371 | + | 0.812206i | \(0.301733\pi\) | |||||||
\(720\) | −6.65951 | − | 6.33540i | −0.248185 | − | 0.236107i | ||||
\(721\) | −0.372466 | + | 5.97733i | −0.0138713 | + | 0.222607i | ||||
\(722\) | −2.32425 | − | 3.43197i | −0.0864995 | − | 0.127725i | ||||
\(723\) | 9.23158 | − | 15.9896i | 0.343326 | − | 0.594658i | ||||
\(724\) | 30.1611 | − | 4.35400i | 1.12093 | − | 0.161815i | ||||
\(725\) | 1.13479 | − | 0.655173i | 0.0421451 | − | 0.0243325i | ||||
\(726\) | −2.10019 | − | 29.2477i | −0.0779453 | − | 1.08548i | ||||
\(727\) | −52.6712 | −1.95347 | −0.976733 | − | 0.214459i | \(-0.931201\pi\) | ||||
−0.976733 | + | 0.214459i | \(0.931201\pi\) | |||||||
\(728\) | −16.7800 | + | 13.4703i | −0.621910 | + | 0.499241i | ||||
\(729\) | −3.86488 | −0.143144 | ||||||||
\(730\) | −1.01676 | − | 14.1597i | −0.0376321 | − | 0.524073i | ||||
\(731\) | −13.9919 | + | 8.07820i | −0.517507 | + | 0.298783i | ||||
\(732\) | −2.10761 | − | 14.5998i | −0.0778994 | − | 0.539625i | ||||
\(733\) | 0.876721 | − | 1.51853i | 0.0323824 | − | 0.0560880i | −0.849380 | − | 0.527782i | \(-0.823024\pi\) |
0.881762 | + | 0.471694i | \(0.156357\pi\) | |||||||
\(734\) | −9.22215 | − | 13.6174i | −0.340396 | − | 0.502627i | ||||
\(735\) | 4.67617 | + | 3.54058i | 0.172483 | + | 0.130596i | ||||
\(736\) | −37.4743 | − | 6.24689i | −1.38132 | − | 0.230264i | ||||
\(737\) | 16.9654 | − | 29.3850i | 0.624929 | − | 1.08241i | ||||
\(738\) | −5.24488 | − | 2.54596i | −0.193067 | − | 0.0937181i | ||||
\(739\) | 9.69575 | + | 16.7935i | 0.356664 | + | 0.617760i | 0.987401 | − | 0.158237i | \(-0.0505808\pi\) |
−0.630737 | + | 0.775996i | \(0.717248\pi\) | |||||||
\(740\) | 5.93140 | − | 4.66996i | 0.218042 | − | 0.171671i | ||||
\(741\) | 11.2831 | 0.414495 | ||||||||
\(742\) | −0.211299 | + | 0.374102i | −0.00775703 | + | 0.0137337i | ||||
\(743\) | 44.8603i | 1.64576i | 0.568213 | + | 0.822882i | \(0.307635\pi\) | ||||
−0.568213 | + | 0.822882i | \(0.692365\pi\) | |||||||
\(744\) | −19.6348 | − | 6.25812i | −0.719846 | − | 0.229434i | ||||
\(745\) | 0.696284 | − | 0.402000i | 0.0255099 | − | 0.0147281i | ||||
\(746\) | 37.0618 | + | 17.9905i | 1.35693 | + | 0.658679i | ||||
\(747\) | −34.6697 | − | 20.0166i | −1.26850 | − | 0.732368i | ||||
\(748\) | 26.6256 | + | 10.6417i | 0.973529 | + | 0.389101i | ||||
\(749\) | −0.398514 | + | 6.39535i | −0.0145614 | + | 0.233681i | ||||
\(750\) | −0.981150 | + | 0.664468i | −0.0358265 | + | 0.0242629i | ||||
\(751\) | −40.9012 | − | 23.6143i | −1.49250 | − | 0.861698i | −0.492542 | − | 0.870289i | \(-0.663932\pi\) |
−0.999963 | + | 0.00859066i | \(0.997265\pi\) | |||||||
\(752\) | 1.64183 | − | 6.80143i | 0.0598713 | − | 0.248023i | ||||
\(753\) | 3.21988 | + | 5.57699i | 0.117339 | + | 0.203237i | ||||
\(754\) | 0.381641 | + | 5.31482i | 0.0138986 | + | 0.193554i | ||||
\(755\) | 13.0949i | 0.476571i | ||||||||
\(756\) | −13.3550 | − | 19.3240i | −0.485716 | − | 0.702806i | ||||
\(757\) | − | 1.52456i | − | 0.0554110i | −0.999616 | − | 0.0277055i | \(-0.991180\pi\) | ||
0.999616 | − | 0.0277055i | \(-0.00882007\pi\) | |||||||
\(758\) | −3.56029 | + | 0.255654i | −0.129316 | + | 0.00928577i | ||||
\(759\) | 16.8224 | + | 29.1372i | 0.610614 | + | 1.05761i | ||||
\(760\) | −9.79354 | + | 8.91818i | −0.355249 | + | 0.323496i | ||||
\(761\) | −28.6395 | − | 16.5350i | −1.03818 | − | 0.599394i | −0.118863 | − | 0.992911i | \(-0.537925\pi\) |
−0.919317 | + | 0.393517i | \(0.871258\pi\) | |||||||
\(762\) | 3.47141 | + | 5.12586i | 0.125756 | + | 0.185690i | ||||
\(763\) | 10.7274 | − | 16.1670i | 0.388358 | − | 0.585286i | ||||
\(764\) | −11.4438 | − | 4.57385i | −0.414021 | − | 0.165476i | ||||
\(765\) | −4.77204 | − | 2.75514i | −0.172533 | − | 0.0996122i | ||||
\(766\) | −14.3942 | + | 29.6531i | −0.520083 | + | 1.07141i | ||||
\(767\) | −7.51536 | + | 4.33899i | −0.271364 | + | 0.156672i | ||||
\(768\) | 6.11612 | − | 11.9301i | 0.220696 | − | 0.430491i | ||||
\(769\) | 1.31233i | 0.0473238i | 0.999720 | + | 0.0236619i | \(0.00753252\pi\) | ||||
−0.999720 | + | 0.0236619i | \(0.992467\pi\) | |||||||
\(770\) | −19.2668 | + | 11.3678i | −0.694328 | + | 0.409669i | ||||
\(771\) | 1.87495 | 0.0675248 | ||||||||
\(772\) | 14.3455 | + | 18.2204i | 0.516304 | + | 0.655767i | ||||
\(773\) | −8.51479 | − | 14.7480i | −0.306256 | − | 0.530450i | 0.671284 | − | 0.741200i | \(-0.265743\pi\) |
−0.977540 | + | 0.210749i | \(0.932410\pi\) | |||||||
\(774\) | −9.56150 | + | 19.6974i | −0.343681 | + | 0.708009i | ||||
\(775\) | 4.34775 | − | 7.53053i | 0.156176 | − | 0.270505i | ||||
\(776\) | 2.27207 | + | 10.4018i | 0.0815624 | + | 0.373404i | ||||
\(777\) | 7.49295 | − | 3.72513i | 0.268808 | − | 0.133638i | ||||
\(778\) | −0.518468 | + | 0.351124i | −0.0185880 | + | 0.0125884i | ||||
\(779\) | −4.20078 | + | 7.27596i | −0.150508 | + | 0.260688i | ||||
\(780\) | −0.688483 | − | 4.76927i | −0.0246516 | − | 0.170767i | ||||
\(781\) | −15.8819 | + | 9.16944i | −0.568300 | + | 0.328108i | ||||
\(782\) | −22.7169 | + | 1.63123i | −0.812353 | + | 0.0583326i | ||||
\(783\) | −5.81683 | −0.207876 | ||||||||
\(784\) | 9.89848 | − | 26.1920i | 0.353517 | − | 0.935428i | ||||
\(785\) | −17.1698 | −0.612816 | ||||||||
\(786\) | −10.5920 | + | 0.760578i | −0.377803 | + | 0.0271289i | ||||
\(787\) | −26.0083 | + | 15.0159i | −0.927097 | + | 0.535260i | −0.885892 | − | 0.463891i | \(-0.846453\pi\) |
−0.0412045 | + | 0.999151i | \(0.513120\pi\) | |||||||
\(788\) | 3.75764 | + | 26.0300i | 0.133861 | + | 0.927280i | ||||
\(789\) | 7.27412 | − | 12.5991i | 0.258966 | − | 0.448541i | ||||
\(790\) | 16.2052 | − | 10.9747i | 0.576555 | − | 0.390463i | ||||
\(791\) | −35.6935 | + | 17.7451i | −1.26912 | + | 0.630943i | ||||
\(792\) | 37.9637 | − | 8.29240i | 1.34898 | − | 0.294658i | ||||
\(793\) | −12.6554 | + | 21.9198i | −0.449406 | + | 0.778395i | ||||
\(794\) | −5.00422 | + | 10.3091i | −0.177593 | + | 0.365855i | ||||
\(795\) | −0.0481079 | − | 0.0833254i | −0.00170621 | − | 0.00295525i | ||||
\(796\) | −24.9133 | − | 31.6428i | −0.883027 | − | 1.12155i | ||||
\(797\) | 34.7798 | 1.23196 | 0.615981 | − | 0.787761i | \(-0.288760\pi\) | ||||
0.615981 | + | 0.787761i | \(0.288760\pi\) | |||||||
\(798\) | −12.6451 | + | 7.46089i | −0.447632 | + | 0.264113i | ||||
\(799\) | − | 4.19448i | − | 0.148390i | ||||||
\(800\) | 4.36722 | + | 3.59546i | 0.154405 | + | 0.127119i | ||||
\(801\) | 25.4283 | − | 14.6810i | 0.898465 | − | 0.518729i | ||||
\(802\) | 1.25867 | − | 2.59296i | 0.0444452 | − | 0.0915605i | ||||
\(803\) | 51.9753 | + | 30.0080i | 1.83417 | + | 1.05896i | ||||
\(804\) | −8.83136 | − | 3.52972i | −0.311458 | − | 0.124484i | ||||
\(805\) | 9.82427 | − | 14.8060i | 0.346260 | − | 0.521841i | ||||
\(806\) | 19.8280 | + | 29.2779i | 0.698410 | + | 1.03127i | ||||
\(807\) | −0.543476 | − | 0.313776i | −0.0191313 | − | 0.0110454i | ||||
\(808\) | 31.0066 | + | 34.0500i | 1.09081 | + | 1.19788i | ||||
\(809\) | 6.61556 | + | 11.4585i | 0.232591 | + | 0.402859i | 0.958570 | − | 0.284858i | \(-0.0919464\pi\) |
−0.725979 | + | 0.687717i | \(0.758613\pi\) | |||||||
\(810\) | −4.47739 | + | 0.321508i | −0.157319 | + | 0.0112966i | ||||
\(811\) | 17.4547i | 0.612917i | 0.951884 | + | 0.306459i | \(0.0991441\pi\) | ||||
−0.951884 | + | 0.306459i | \(0.900856\pi\) | |||||||
\(812\) | −3.94211 | − | 5.70403i | −0.138341 | − | 0.200172i | ||||
\(813\) | 18.1946i | 0.638113i | ||||||||
\(814\) | 2.28584 | + | 31.8331i | 0.0801186 | + | 1.11575i | ||||
\(815\) | −2.93458 | − | 5.08284i | −0.102794 | − | 0.178044i | ||||
\(816\) | 1.88592 | − | 7.81262i | 0.0660205 | − | 0.273496i | ||||
\(817\) | 27.3253 | + | 15.7762i | 0.955990 | + | 0.551941i | ||||
\(818\) | 36.7763 | − | 24.9061i | 1.28585 | − | 0.870823i | ||||
\(819\) | −1.08724 | + | 17.4480i | −0.0379912 | + | 0.609683i | ||||
\(820\) | 3.33181 | + | 1.33166i | 0.116352 | + | 0.0465035i | ||||
\(821\) | 40.5407 | + | 23.4062i | 1.41488 | + | 0.816882i | 0.995843 | − | 0.0910860i | \(-0.0290338\pi\) |
0.419039 | + | 0.907968i | \(0.362367\pi\) | |||||||
\(822\) | −22.2474 | − | 10.7993i | −0.775966 | − | 0.376668i | ||||
\(823\) | −13.7735 | + | 7.95213i | −0.480114 | + | 0.277194i | −0.720464 | − | 0.693492i | \(-0.756071\pi\) |
0.240350 | + | 0.970686i | \(0.422738\pi\) | |||||||
\(824\) | −1.94425 | + | 6.10008i | −0.0677313 | + | 0.212506i | ||||
\(825\) | − | 5.00964i | − | 0.174413i | ||||||
\(826\) | 5.55342 | − | 9.83225i | 0.193228 | − | 0.342108i | ||||
\(827\) | 14.9258 | 0.519021 | 0.259511 | − | 0.965740i | \(-0.416439\pi\) | ||||
0.259511 | + | 0.965740i | \(0.416439\pi\) | |||||||
\(828\) | −24.2511 | + | 19.0936i | −0.842785 | + | 0.663549i | ||||
\(829\) | −9.10972 | − | 15.7785i | −0.316394 | − | 0.548010i | 0.663339 | − | 0.748319i | \(-0.269139\pi\) |
−0.979733 | + | 0.200309i | \(0.935805\pi\) | |||||||
\(830\) | 22.1644 | + | 10.7590i | 0.769339 | + | 0.373452i | ||||
\(831\) | 9.89479 | − | 17.1383i | 0.343247 | − | 0.594520i | ||||
\(832\) | −20.9084 | + | 9.59167i | −0.724870 | + | 0.332531i | ||||
\(833\) | 2.08384 | − | 16.6558i | 0.0722007 | − | 0.577088i | ||||
\(834\) | 8.51773 | + | 12.5772i | 0.294945 | + | 0.435514i | ||||
\(835\) | −3.01130 | + | 5.21573i | −0.104210 | + | 0.180498i | ||||
\(836\) | −8.00079 | − | 55.4231i | −0.276713 | − | 1.91685i | ||||
\(837\) | −33.4292 | + | 19.3003i | −1.15548 | + | 0.667117i | ||||
\(838\) | −1.83723 | − | 25.5856i | −0.0634660 | − | 0.883841i | ||||
\(839\) | 28.2947 | 0.976843 | 0.488421 | − | 0.872608i | \(-0.337573\pi\) | ||||
0.488421 | + | 0.872608i | \(0.337573\pi\) | |||||||
\(840\) | 3.92524 | + | 4.88972i | 0.135434 | + | 0.168711i | ||||
\(841\) | 27.2830 | 0.940793 | ||||||||
\(842\) | 3.91436 | + | 54.5123i | 0.134898 | + | 1.87862i | ||||
\(843\) | −10.4587 | + | 6.03834i | −0.360217 | + | 0.207971i | ||||
\(844\) | 8.53728 | − | 1.23243i | 0.293865 | − | 0.0424219i | ||||
\(845\) | 2.36591 | − | 4.09788i | 0.0813899 | − | 0.140971i | ||||
\(846\) | −3.18751 | − | 4.70666i | −0.109589 | − | 0.161818i | ||||
\(847\) | 4.07178 | − | 65.3440i | 0.139908 | − | 2.24525i | ||||
\(848\) | −0.316586 | + | 0.332782i | −0.0108716 | + | 0.0114278i | ||||
\(849\) | 5.21944 | − | 9.04034i | 0.179131 | − | 0.310264i | ||||
\(850\) | 3.05077 | + | 1.48090i | 0.104641 | + | 0.0507946i | ||||
\(851\) | −12.6751 | − | 21.9538i | −0.434495 | − | 0.752568i | ||||
\(852\) | 3.17981 | + | 4.03873i | 0.108938 | + | 0.138365i | ||||
\(853\) | −39.5247 | −1.35330 | −0.676650 | − | 0.736305i | \(-0.736569\pi\) | ||||
−0.676650 | + | 0.736305i | \(0.736569\pi\) | |||||||
\(854\) | −0.311280 | − | 32.9341i | −0.0106518 | − | 1.12698i | ||||
\(855\) | 10.7612i | 0.368026i | ||||||||
\(856\) | −2.08022 | + | 6.52668i | −0.0711006 | + | 0.223077i | ||||
\(857\) | 2.50342 | − | 1.44535i | 0.0855151 | − | 0.0493722i | −0.456633 | − | 0.889655i | \(-0.650945\pi\) |
0.542148 | + | 0.840283i | \(0.317611\pi\) | |||||||
\(858\) | 18.3266 | + | 8.89608i | 0.625660 | + | 0.303707i | ||||
\(859\) | 12.6042 | + | 7.27704i | 0.430050 | + | 0.248290i | 0.699368 | − | 0.714762i | \(-0.253465\pi\) |
−0.269318 | + | 0.963051i | \(0.586798\pi\) | |||||||
\(860\) | 5.00112 | − | 12.5128i | 0.170537 | − | 0.426682i | ||||
\(861\) | 3.31400 | + | 2.19895i | 0.112941 | + | 0.0749402i | ||||
\(862\) | −4.85881 | + | 3.29055i | −0.165492 | + | 0.112077i | ||||
\(863\) | 12.0583 | + | 6.96188i | 0.410470 | + | 0.236985i | 0.690992 | − | 0.722863i | \(-0.257174\pi\) |
−0.280521 | + | 0.959848i | \(0.590507\pi\) | |||||||
\(864\) | −8.80904 | − | 23.5159i | −0.299689 | − | 0.800026i | ||||
\(865\) | 1.08168 | + | 1.87352i | 0.0367782 | + | 0.0637016i | ||||
\(866\) | 2.19889 | + | 30.6222i | 0.0747213 | + | 1.04059i | ||||
\(867\) | 9.42632i | 0.320135i | ||||||||
\(868\) | −41.5813 | − | 19.7009i | −1.41136 | − | 0.668694i | ||||
\(869\) | 82.7420i | 2.80683i | ||||||||
\(870\) | 1.54874 | − | 0.111211i | 0.0525073 | − | 0.00377039i | ||||
\(871\) | 8.15939 | + | 14.1325i | 0.276471 | + | 0.478861i | ||||
\(872\) | 15.3361 | − | 13.9654i | 0.519347 | − | 0.472927i | ||||
\(873\) | 7.49117 | + | 4.32503i | 0.253538 | + | 0.146380i | ||||
\(874\) | 24.9412 | + | 36.8281i | 0.843649 | + | 1.24573i | ||||
\(875\) | −2.36913 | + | 1.17781i | −0.0800910 | + | 0.0398174i | ||||
\(876\) | 6.24327 | − | 15.6207i | 0.210941 | − | 0.527773i | ||||
\(877\) | −13.6311 | − | 7.86992i | −0.460289 | − | 0.265748i | 0.251877 | − | 0.967759i | \(-0.418952\pi\) |
−0.712166 | + | 0.702011i | \(0.752286\pi\) | |||||||
\(878\) | 4.77402 | − | 9.83484i | 0.161115 | − | 0.331910i | ||||
\(879\) | −6.14882 | + | 3.55002i | −0.207394 | + | 0.119739i | ||||
\(880\) | −22.9387 | + | 6.76372i | −0.773262 | + | 0.228005i | ||||
\(881\) | − | 4.77034i | − | 0.160717i | −0.996766 | − | 0.0803584i | \(-0.974394\pi\) | ||
0.996766 | − | 0.0803584i | \(-0.0256065\pi\) | |||||||
\(882\) | −10.3189 | − | 20.2731i | −0.347456 | − | 0.682632i | ||||
\(883\) | 31.2410 | 1.05134 | 0.525672 | − | 0.850688i | \(-0.323814\pi\) | ||||
0.525672 | + | 0.850688i | \(0.323814\pi\) | |||||||
\(884\) | −10.8351 | + | 8.53077i | −0.364423 | + | 0.286921i | ||||
\(885\) | 1.26439 | + | 2.18998i | 0.0425019 | + | 0.0736154i | ||||
\(886\) | 11.0321 | − | 22.7269i | 0.370629 | − | 0.763525i | ||||
\(887\) | −18.4386 | + | 31.9365i | −0.619106 | + | 1.07232i | 0.370543 | + | 0.928815i | \(0.379172\pi\) |
−0.989649 | + | 0.143508i | \(0.954162\pi\) | |||||||
\(888\) | 8.73955 | − | 1.90897i | 0.293280 | − | 0.0640610i | ||||
\(889\) | 6.15330 | + | 12.3771i | 0.206375 | + | 0.415115i | ||||
\(890\) | −14.9621 | + | 10.1329i | −0.501531 | + | 0.339654i | ||||
\(891\) | 9.48872 | − | 16.4350i | 0.317884 | − | 0.550592i | ||||
\(892\) | −22.9517 | + | 3.31327i | −0.768481 | + | 0.110937i | ||||
\(893\) | −7.09411 | + | 4.09579i | −0.237395 | + | 0.137060i | ||||
\(894\) | 0.950275 | − | 0.0682364i | 0.0317820 | − | 0.00228217i | ||||
\(895\) | −11.2700 | −0.376713 | ||||||||
\(896\) | 17.0899 | − | 24.5751i | 0.570934 | − | 0.820996i | ||||
\(897\) | −16.1812 | −0.540275 | ||||||||
\(898\) | −41.3633 | + | 2.97018i | −1.38031 | + | 0.0991161i | ||||
\(899\) | −9.86759 | + | 5.69706i | −0.329103 | + | 0.190007i | ||||
\(900\) | 4.54867 | − | 0.656639i | 0.151622 | − | 0.0218880i | ||||
\(901\) | −0.137677 | + | 0.238463i | −0.00458668 | + | 0.00794436i | ||||
\(902\) | −12.5598 | + | 8.50592i | −0.418195 | + | 0.283216i | ||||
\(903\) | 8.25829 | − | 12.4459i | 0.274819 | − | 0.414174i | ||||
\(904\) | −41.6319 | + | 9.09362i | −1.38466 | + | 0.302449i | ||||
\(905\) | −7.61844 | + | 13.1955i | −0.253245 | + | 0.438634i | ||||
\(906\) | −6.77616 | + | 13.9594i | −0.225123 | + | 0.463770i | ||||
\(907\) | −0.588928 | − | 1.02005i | −0.0195550 | − | 0.0338703i | 0.856082 | − | 0.516840i | \(-0.172892\pi\) |
−0.875637 | + | 0.482969i | \(0.839558\pi\) | |||||||
\(908\) | 30.3351 | − | 23.8837i | 1.00670 | − | 0.792607i | ||||
\(909\) | 37.4145 | 1.24096 | ||||||||
\(910\) | −0.101685 | − | 10.7584i | −0.00337081 | − | 0.356639i | ||||
\(911\) | 37.7931i | 1.25214i | 0.779766 | + | 0.626071i | \(0.215338\pi\) | ||||
−0.779766 | + | 0.626071i | \(0.784662\pi\) | |||||||
\(912\) | −15.0550 | + | 4.43913i | −0.498521 | + | 0.146994i | ||||
\(913\) | −90.2045 | + | 52.0796i | −2.98533 | + | 1.72358i | ||||
\(914\) | 5.73362 | − | 11.8117i | 0.189651 | − | 0.390696i | ||||
\(915\) | 6.38745 | + | 3.68779i | 0.211162 | + | 0.121915i | ||||
\(916\) | −12.6799 | + | 31.7251i | −0.418956 | + | 1.04823i | ||||
\(917\) | −23.6642 | − | 1.47459i | −0.781459 | − | 0.0486951i | ||||
\(918\) | −8.44148 | − | 12.4646i | −0.278610 | − | 0.411395i | ||||
\(919\) | 37.4585 | + | 21.6267i | 1.23564 | + | 0.713398i | 0.968200 | − | 0.250177i | \(-0.0804887\pi\) |
0.267441 | + | 0.963574i | \(0.413822\pi\) | |||||||
\(920\) | 14.0450 | − | 12.7896i | 0.463050 | − | 0.421662i | ||||
\(921\) | 5.00313 | + | 8.66568i | 0.164859 | + | 0.285544i | ||||
\(922\) | −0.566709 | + | 0.0406937i | −0.0186636 | + | 0.00134018i | ||||
\(923\) | − | 8.81995i | − | 0.290312i | ||||||
\(924\) | −26.4213 | + | 2.14842i | −0.869198 | + | 0.0706778i | ||||
\(925\) | 3.77459i | 0.124108i | ||||||||
\(926\) | −0.916361 | − | 12.7614i | −0.0301135 | − | 0.419367i | ||||
\(927\) | 2.60078 | + | 4.50468i | 0.0854208 | + | 0.147953i | ||||
\(928\) | −2.60024 | − | 6.94139i | −0.0853571 | − | 0.227862i | ||||
\(929\) | 30.3878 | + | 17.5444i | 0.996992 | + | 0.575614i | 0.907357 | − | 0.420361i | \(-0.138097\pi\) |
0.0896350 | + | 0.995975i | \(0.471430\pi\) | |||||||
\(930\) | 8.53160 | − | 5.77789i | 0.279762 | − | 0.189464i | ||||
\(931\) | −30.2046 | + | 12.7395i | −0.989917 | + | 0.417520i | ||||
\(932\) | −9.08050 | + | 22.7194i | −0.297442 | + | 0.744199i | ||||
\(933\) | 11.2445 | + | 6.49204i | 0.368130 | + | 0.212540i | ||||
\(934\) | 15.3161 | + | 7.43471i | 0.501157 | + | 0.243271i | ||||
\(935\) | −12.4160 | + | 7.16838i | −0.406046 | + | 0.234431i | ||||
\(936\) | −5.67534 | + | 17.8063i | −0.185504 | + | 0.582018i | ||||
\(937\) | − | 44.8914i | − | 1.46654i | −0.679938 | − | 0.733270i | \(-0.737993\pi\) | ||
0.679938 | − | 0.733270i | \(-0.262007\pi\) | |||||||
\(938\) | −18.4894 | − | 10.4431i | −0.603699 | − | 0.340979i | ||||
\(939\) | 14.4851 | 0.472702 | ||||||||
\(940\) | 2.16413 | + | 2.74869i | 0.0705860 | + | 0.0896525i | ||||
\(941\) | 28.7781 | + | 49.8451i | 0.938138 | + | 1.62490i | 0.768941 | + | 0.639320i | \(0.220784\pi\) |
0.169197 | + | 0.985582i | \(0.445882\pi\) | |||||||
\(942\) | −18.3034 | − | 8.88480i | −0.596356 | − | 0.289482i | ||||
\(943\) | 6.02437 | − | 10.4345i | 0.196180 | − | 0.339795i | ||||
\(944\) | 8.32060 | − | 8.74628i | 0.270813 | − | 0.284667i | ||||
\(945\) | 11.7222 | + | 0.730444i | 0.381322 | + | 0.0237613i | ||||
\(946\) | 31.9444 | + | 47.1690i | 1.03860 | + | 1.53360i | ||||
\(947\) | −8.60454 | + | 14.9035i | −0.279610 | + | 0.484299i | −0.971288 | − | 0.237908i | \(-0.923538\pi\) |
0.691678 | + | 0.722206i | \(0.256872\pi\) | |||||||
\(948\) | 22.9541 | − | 3.31362i | 0.745516 | − | 0.107621i | ||||
\(949\) | −24.9972 | + | 14.4321i | −0.811442 | + | 0.468486i | ||||
\(950\) | −0.474344 | − | 6.60582i | −0.0153897 | − | 0.214321i | ||||
\(951\) | −6.97330 | −0.226125 | ||||||||
\(952\) | 6.50208 | − | 16.7252i | 0.210734 | − | 0.542066i | ||||
\(953\) | 11.6755 | 0.378207 | 0.189103 | − | 0.981957i | \(-0.439442\pi\) | ||||
0.189103 | + | 0.981957i | \(0.439442\pi\) | |||||||
\(954\) | 0.0267270 | + | 0.372206i | 0.000865317 | + | 0.0120506i | ||||
\(955\) | 5.33642 | − | 3.08099i | 0.172683 | − | 0.0996984i | ||||
\(956\) | 0.447744 | + | 3.10162i | 0.0144811 | + | 0.100314i | ||||
\(957\) | −3.28218 | + | 5.68491i | −0.106098 | + | 0.183767i | ||||
\(958\) | 2.53167 | + | 3.73825i | 0.0817944 | + | 0.120777i | ||||
\(959\) | −46.0085 | − | 30.5283i | −1.48569 | − | 0.985809i | ||||
\(960\) | 2.79502 | + | 6.09274i | 0.0902089 | + | 0.196642i | ||||
\(961\) | −22.3059 | + | 38.6349i | −0.719545 | + | 1.24629i | ||||
\(962\) | −13.8084 | − | 6.70288i | −0.445202 | − | 0.216109i | ||||
\(963\) | 2.78266 | + | 4.81971i | 0.0896700 | + | 0.155313i | ||||
\(964\) | 34.6257 | − | 27.2618i | 1.11522 | − | 0.878043i | ||||
\(965\) | −11.5950 | −0.373256 | ||||||||
\(966\) | 18.1345 | − | 10.6997i | 0.583467 | − | 0.344258i | ||||
\(967\) | − | 52.1618i | − | 1.67741i | −0.544586 | − | 0.838705i | \(-0.683313\pi\) | ||
0.544586 | − | 0.838705i | \(-0.316687\pi\) | |||||||
\(968\) | 21.2545 | − | 66.6859i | 0.683147 | − | 2.14337i | ||||
\(969\) | −8.14881 | + | 4.70472i | −0.261777 | + | 0.151137i | ||||
\(970\) | −4.78912 | − | 2.32473i | −0.153769 | − | 0.0746426i | ||||
\(971\) | 14.6994 | + | 8.48673i | 0.471728 | + | 0.272352i | 0.716963 | − | 0.697112i | \(-0.245532\pi\) |
−0.245235 | + | 0.969464i | \(0.578865\pi\) | |||||||
\(972\) | −29.6720 | − | 11.8593i | −0.951730 | − | 0.380388i | ||||
\(973\) | 15.0982 | + | 30.3695i | 0.484028 | + | 0.973602i | ||||
\(974\) | −4.47420 | + | 3.03008i | −0.143363 | + | 0.0970901i | ||||
\(975\) | 2.08656 | + | 1.20468i | 0.0668234 | + | 0.0385805i | ||||
\(976\) | 8.26209 | − | 34.2265i | 0.264463 | − | 1.09556i | ||||
\(977\) | −11.5148 | − | 19.9442i | −0.368390 | − | 0.638071i | 0.620924 | − | 0.783871i | \(-0.286758\pi\) |
−0.989314 | + | 0.145800i | \(0.953424\pi\) | |||||||
\(978\) | −0.498122 | − | 6.93697i | −0.0159282 | − | 0.221820i | ||||
\(979\) | − | 76.3949i | − | 2.44159i | ||||||
\(980\) | 7.22792 | + | 11.9899i | 0.230887 | + | 0.383003i | ||||
\(981\) | − | 16.8515i | − | 0.538027i | ||||||
\(982\) | 60.3274 | − | 4.33193i | 1.92513 | − | 0.138237i | ||||
\(983\) | −19.4921 | − | 33.7613i | −0.621701 | − | 1.07682i | −0.989169 | − | 0.146782i | \(-0.953108\pi\) |
0.367468 | − | 0.930036i | \(-0.380225\pi\) | |||||||
\(984\) | 2.86269 | + | 3.14368i | 0.0912592 | + | 0.100217i | ||||
\(985\) | −11.3882 | − | 6.57495i | −0.362857 | − | 0.209495i | ||||
\(986\) | −2.49175 | − | 3.67930i | −0.0793534 | − | 0.117173i | ||||
\(987\) | 1.72628 | + | 3.47234i | 0.0549481 | + | 0.110526i | ||||
\(988\) | 25.0082 | + | 9.99528i | 0.795616 | + | 0.317992i | ||||
\(989\) | −39.1874 | − | 22.6249i | −1.24609 | − | 0.719428i | ||||
\(990\) | −8.48461 | + | 17.4790i | −0.269659 | + | 0.555518i | ||||
\(991\) | −13.9773 | + | 8.06982i | −0.444005 | + | 0.256346i | −0.705295 | − | 0.708914i | \(-0.749185\pi\) |
0.261290 | + | 0.965260i | \(0.415852\pi\) | |||||||
\(992\) | −37.9752 | − | 31.2644i | −1.20571 | − | 0.992645i | ||||
\(993\) | − | 21.1882i | − | 0.672388i | ||||||
\(994\) | 5.83214 | + | 9.88463i | 0.184984 | + | 0.313521i | ||||
\(995\) | 20.1366 | 0.638374 | ||||||||
\(996\) | 18.0603 | + | 22.9387i | 0.572263 | + | 0.726842i | ||||
\(997\) | 23.3556 | + | 40.4531i | 0.739679 | + | 1.28116i | 0.952640 | + | 0.304102i | \(0.0983562\pi\) |
−0.212960 | + | 0.977061i | \(0.568310\pi\) | |||||||
\(998\) | 4.58711 | − | 9.44979i | 0.145202 | − | 0.299128i | ||||
\(999\) | 8.37799 | − | 14.5111i | 0.265068 | − | 0.459111i |
(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 | 280.2.bj.f.131.1 | yes | 24 | |
4.3 | odd | 2 | 1120.2.bz.e.271.7 | 24 | |||
7.3 | odd | 6 | 280.2.bj.e.171.8 | yes | 24 | ||
8.3 | odd | 2 | 280.2.bj.e.131.8 | ✓ | 24 | ||
8.5 | even | 2 | 1120.2.bz.f.271.7 | 24 | |||
28.3 | even | 6 | 1120.2.bz.f.591.7 | 24 | |||
56.3 | even | 6 | inner | 280.2.bj.f.171.1 | yes | 24 | |
56.45 | odd | 6 | 1120.2.bz.e.591.7 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bj.e.131.8 | ✓ | 24 | 8.3 | odd | 2 | ||
280.2.bj.e.171.8 | yes | 24 | 7.3 | odd | 6 | ||
280.2.bj.f.131.1 | yes | 24 | 1.1 | even | 1 | trivial | |
280.2.bj.f.171.1 | yes | 24 | 56.3 | even | 6 | inner | |
1120.2.bz.e.271.7 | 24 | 4.3 | odd | 2 | |||
1120.2.bz.e.591.7 | 24 | 56.45 | odd | 6 | |||
1120.2.bz.f.271.7 | 24 | 8.5 | even | 2 | |||
1120.2.bz.f.591.7 | 24 | 28.3 | even | 6 |