Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(25,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 8, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bb (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 25.10 | ||
Character | \(\chi\) | \(=\) | 429.25 |
Dual form | 429.2.bb.a.103.10 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.817916 | + | 1.12577i | 0.578354 | + | 0.796036i | 0.993514 | − | 0.113712i | \(-0.0362743\pi\) |
−0.415160 | + | 0.909749i | \(0.636274\pi\) | |||||||
\(3\) | 0.309017 | + | 0.951057i | 0.178411 | + | 0.549093i | ||||
\(4\) | 0.0196739 | − | 0.0605500i | 0.00983695 | − | 0.0302750i | ||||
\(5\) | 1.89008 | − | 2.60147i | 0.845270 | − | 1.16341i | −0.139615 | − | 0.990206i | \(-0.544587\pi\) |
0.984885 | − | 0.173208i | \(-0.0554134\pi\) | |||||||
\(6\) | −0.817916 | + | 1.12577i | −0.333913 | + | 0.459592i | ||||
\(7\) | −2.89956 | − | 0.942124i | −1.09593 | − | 0.356089i | −0.295395 | − | 0.955375i | \(-0.595451\pi\) |
−0.800535 | + | 0.599286i | \(0.795451\pi\) | |||||||
\(8\) | 2.73109 | − | 0.887385i | 0.965586 | − | 0.313738i | ||||
\(9\) | −0.809017 | + | 0.587785i | −0.269672 | + | 0.195928i | ||||
\(10\) | 4.47458 | 1.41498 | ||||||||
\(11\) | 3.20270 | + | 0.861794i | 0.965652 | + | 0.259841i | ||||
\(12\) | 0.0636661 | 0.0183788 | ||||||||
\(13\) | −0.446557 | + | 3.57779i | −0.123853 | + | 0.992301i | ||||
\(14\) | −1.31099 | − | 4.03480i | −0.350376 | − | 1.07835i | ||||
\(15\) | 3.05822 | + | 0.993674i | 0.789628 | + | 0.256566i | ||||
\(16\) | 3.12977 | + | 2.27391i | 0.782444 | + | 0.568479i | ||||
\(17\) | −2.20231 | − | 1.60007i | −0.534140 | − | 0.388075i | 0.287764 | − | 0.957701i | \(-0.407088\pi\) |
−0.821904 | + | 0.569626i | \(0.807088\pi\) | |||||||
\(18\) | −1.32342 | − | 0.430004i | −0.311932 | − | 0.101353i | ||||
\(19\) | 6.82897 | − | 2.21887i | 1.56667 | − | 0.509043i | 0.608094 | − | 0.793865i | \(-0.291935\pi\) |
0.958580 | + | 0.284822i | \(0.0919345\pi\) | |||||||
\(20\) | −0.120334 | − | 0.165626i | −0.0269075 | − | 0.0370350i | ||||
\(21\) | − | 3.04878i | − | 0.665298i | ||||||
\(22\) | 1.64937 | + | 4.31037i | 0.351646 | + | 0.918973i | ||||
\(23\) | 1.60068 | 0.333765 | 0.166883 | − | 0.985977i | \(-0.446630\pi\) | ||||
0.166883 | + | 0.985977i | \(0.446630\pi\) | |||||||
\(24\) | 1.68791 | + | 2.32320i | 0.344542 | + | 0.474222i | ||||
\(25\) | −1.65017 | − | 5.07871i | −0.330034 | − | 1.01574i | ||||
\(26\) | −4.39300 | + | 2.42362i | −0.861538 | + | 0.475310i | ||||
\(27\) | −0.809017 | − | 0.587785i | −0.155695 | − | 0.113119i | ||||
\(28\) | −0.114091 | + | 0.157033i | −0.0215612 | + | 0.0296765i | ||||
\(29\) | −1.98527 | + | 6.11004i | −0.368656 | + | 1.13461i | 0.579005 | + | 0.815324i | \(0.303441\pi\) |
−0.947660 | + | 0.319281i | \(0.896559\pi\) | |||||||
\(30\) | 1.38272 | + | 4.25557i | 0.252449 | + | 0.776958i | ||||
\(31\) | −0.650284 | − | 0.895040i | −0.116795 | − | 0.160754i | 0.746617 | − | 0.665254i | \(-0.231677\pi\) |
−0.863412 | + | 0.504500i | \(0.831677\pi\) | |||||||
\(32\) | − | 0.360011i | − | 0.0636416i | ||||||
\(33\) | 0.170075 | + | 3.31226i | 0.0296063 | + | 0.576591i | ||||
\(34\) | − | 3.78802i | − | 0.649639i | ||||||
\(35\) | −7.93131 | + | 5.76244i | −1.34064 | + | 0.974030i | ||||
\(36\) | 0.0196739 | + | 0.0605500i | 0.00327898 | + | 0.0100917i | ||||
\(37\) | −6.24791 | − | 2.03007i | −1.02715 | − | 0.333741i | −0.253487 | − | 0.967339i | \(-0.581577\pi\) |
−0.773663 | + | 0.633598i | \(0.781577\pi\) | |||||||
\(38\) | 8.08345 | + | 5.87297i | 1.31131 | + | 0.952722i | ||||
\(39\) | −3.54067 | + | 0.680898i | −0.566962 | + | 0.109031i | ||||
\(40\) | 2.85347 | − | 8.78208i | 0.451174 | − | 1.38857i | ||||
\(41\) | −7.24015 | + | 2.35247i | −1.13072 | + | 0.367394i | −0.813850 | − | 0.581075i | \(-0.802632\pi\) |
−0.316871 | + | 0.948469i | \(0.602632\pi\) | |||||||
\(42\) | 3.43221 | − | 2.49364i | 0.529601 | − | 0.384778i | ||||
\(43\) | −10.3286 | −1.57510 | −0.787548 | − | 0.616253i | \(-0.788650\pi\) | ||||
−0.787548 | + | 0.616253i | \(0.788650\pi\) | |||||||
\(44\) | 0.115191 | − | 0.176969i | 0.0173657 | − | 0.0266791i | ||||
\(45\) | 3.21560i | 0.479353i | ||||||||
\(46\) | 1.30922 | + | 1.80199i | 0.193035 | + | 0.265689i | ||||
\(47\) | −1.74095 | + | 0.565669i | −0.253944 | + | 0.0825113i | −0.433223 | − | 0.901287i | \(-0.642624\pi\) |
0.179279 | + | 0.983798i | \(0.442624\pi\) | |||||||
\(48\) | −1.19547 | + | 3.67927i | −0.172551 | + | 0.531057i | ||||
\(49\) | 1.85673 | + | 1.34899i | 0.265247 | + | 0.192713i | ||||
\(50\) | 4.36773 | − | 6.01166i | 0.617690 | − | 0.850177i | ||||
\(51\) | 0.841209 | − | 2.58898i | 0.117793 | − | 0.362529i | ||||
\(52\) | 0.207850 | + | 0.0974281i | 0.0288236 | + | 0.0135109i | ||||
\(53\) | −5.83535 | + | 4.23963i | −0.801547 | + | 0.582358i | −0.911368 | − | 0.411593i | \(-0.864972\pi\) |
0.109821 | + | 0.993951i | \(0.464972\pi\) | |||||||
\(54\) | − | 1.39152i | − | 0.189362i | ||||||
\(55\) | 8.29530 | − | 6.70289i | 1.11854 | − | 0.903817i | ||||
\(56\) | −8.75498 | −1.16993 | ||||||||
\(57\) | 4.22054 | + | 5.80907i | 0.559024 | + | 0.769430i | ||||
\(58\) | −8.50225 | + | 2.76255i | −1.11640 | + | 0.362740i | ||||
\(59\) | −3.67607 | − | 1.19443i | −0.478584 | − | 0.155501i | 0.0597841 | − | 0.998211i | \(-0.480959\pi\) |
−0.538368 | + | 0.842710i | \(0.680959\pi\) | |||||||
\(60\) | 0.120334 | − | 0.165626i | 0.0155351 | − | 0.0213822i | ||||
\(61\) | 11.6399 | + | 8.45686i | 1.49033 | + | 1.08279i | 0.974040 | + | 0.226377i | \(0.0726881\pi\) |
0.516292 | + | 0.856413i | \(0.327312\pi\) | |||||||
\(62\) | 0.475726 | − | 1.46413i | 0.0604173 | − | 0.185945i | ||||
\(63\) | 2.89956 | − | 0.942124i | 0.365310 | − | 0.118696i | ||||
\(64\) | 6.66484 | − | 4.84229i | 0.833105 | − | 0.605286i | ||||
\(65\) | 8.46350 | + | 7.92402i | 1.04977 | + | 0.982854i | ||||
\(66\) | −3.58972 | + | 2.90062i | −0.441864 | + | 0.357041i | ||||
\(67\) | − | 11.8916i | − | 1.45279i | −0.687279 | − | 0.726394i | \(-0.741195\pi\) | ||
0.687279 | − | 0.726394i | \(-0.258805\pi\) | |||||||
\(68\) | −0.140213 | + | 0.101871i | −0.0170033 | + | 0.0123536i | ||||
\(69\) | 0.494638 | + | 1.52234i | 0.0595474 | + | 0.183268i | ||||
\(70\) | −12.9743 | − | 4.21561i | −1.55073 | − | 0.503861i | ||||
\(71\) | 0.240603 | − | 0.331162i | 0.0285543 | − | 0.0393017i | −0.794501 | − | 0.607263i | \(-0.792268\pi\) |
0.823055 | + | 0.567961i | \(0.192268\pi\) | |||||||
\(72\) | −1.68791 | + | 2.32320i | −0.198922 | + | 0.273792i | ||||
\(73\) | 8.99648 | + | 2.92313i | 1.05296 | + | 0.342127i | 0.783829 | − | 0.620977i | \(-0.213264\pi\) |
0.269129 | + | 0.963104i | \(0.413264\pi\) | |||||||
\(74\) | −2.82488 | − | 8.69410i | −0.328386 | − | 1.01067i | ||||
\(75\) | 4.32021 | − | 3.13881i | 0.498854 | − | 0.362439i | ||||
\(76\) | − | 0.457148i | − | 0.0524385i | ||||||
\(77\) | −8.47451 | − | 5.51617i | −0.965761 | − | 0.628626i | ||||
\(78\) | −3.66251 | − | 3.42905i | −0.414697 | − | 0.388264i | ||||
\(79\) | −4.62118 | + | 3.35748i | −0.519923 | + | 0.377746i | −0.816575 | − | 0.577239i | \(-0.804130\pi\) |
0.296652 | + | 0.954986i | \(0.404130\pi\) | |||||||
\(80\) | 11.8311 | − | 3.84414i | 1.32275 | − | 0.429788i | ||||
\(81\) | 0.309017 | − | 0.951057i | 0.0343352 | − | 0.105673i | ||||
\(82\) | −8.57016 | − | 6.22659i | −0.946416 | − | 0.687611i | ||||
\(83\) | −7.51164 | + | 10.3389i | −0.824510 | + | 1.13484i | 0.164410 | + | 0.986392i | \(0.447428\pi\) |
−0.988920 | + | 0.148448i | \(0.952572\pi\) | |||||||
\(84\) | −0.184604 | − | 0.0599814i | −0.0201419 | − | 0.00654450i | ||||
\(85\) | −8.32510 | + | 2.70499i | −0.902984 | + | 0.293397i | ||||
\(86\) | −8.44792 | − | 11.6276i | −0.910963 | − | 1.25383i | ||||
\(87\) | −6.42447 | −0.688776 | ||||||||
\(88\) | 9.51161 | − | 0.488394i | 1.01394 | − | 0.0520630i | ||||
\(89\) | − | 2.58760i | − | 0.274285i | −0.990551 | − | 0.137143i | \(-0.956208\pi\) | ||
0.990551 | − | 0.137143i | \(-0.0437919\pi\) | |||||||
\(90\) | −3.62001 | + | 2.63009i | −0.381582 | + | 0.277236i | ||||
\(91\) | 4.66554 | − | 9.95331i | 0.489082 | − | 1.04339i | ||||
\(92\) | 0.0314917 | − | 0.0969214i | 0.00328323 | − | 0.0101048i | ||||
\(93\) | 0.650284 | − | 0.895040i | 0.0674314 | − | 0.0928113i | ||||
\(94\) | −2.06076 | − | 1.49723i | −0.212551 | − | 0.154428i | ||||
\(95\) | 7.13499 | − | 21.9592i | 0.732034 | − | 2.25297i | ||||
\(96\) | 0.342391 | − | 0.111250i | 0.0349452 | − | 0.0113544i | ||||
\(97\) | 2.17811 | + | 2.99791i | 0.221154 | + | 0.304392i | 0.905149 | − | 0.425095i | \(-0.139759\pi\) |
−0.683995 | + | 0.729486i | \(0.739759\pi\) | |||||||
\(98\) | 3.19361i | 0.322603i | ||||||||
\(99\) | −3.09759 | + | 1.18530i | −0.311320 | + | 0.119127i | ||||
\(100\) | −0.339981 | −0.0339981 | ||||||||
\(101\) | −6.63234 | + | 4.81867i | −0.659942 | + | 0.479476i | −0.866643 | − | 0.498928i | \(-0.833727\pi\) |
0.206701 | + | 0.978404i | \(0.433727\pi\) | |||||||
\(102\) | 3.60262 | − | 1.17056i | 0.356712 | − | 0.115903i | ||||
\(103\) | 3.36950 | − | 10.3703i | 0.332007 | − | 1.02181i | −0.636171 | − | 0.771548i | \(-0.719483\pi\) |
0.968178 | − | 0.250264i | \(-0.0805175\pi\) | |||||||
\(104\) | 1.95529 | + | 10.1675i | 0.191732 | + | 0.997009i | ||||
\(105\) | −7.93131 | − | 5.76244i | −0.774017 | − | 0.562356i | ||||
\(106\) | −9.54565 | − | 3.10157i | −0.927156 | − | 0.301251i | ||||
\(107\) | −1.43141 | − | 4.40543i | −0.138380 | − | 0.425889i | 0.857721 | − | 0.514116i | \(-0.171880\pi\) |
−0.996100 | + | 0.0882268i | \(0.971880\pi\) | |||||||
\(108\) | −0.0515069 | + | 0.0374220i | −0.00495626 | + | 0.00360093i | ||||
\(109\) | 13.5684i | 1.29962i | 0.760097 | + | 0.649810i | \(0.225151\pi\) | ||||
−0.760097 | + | 0.649810i | \(0.774849\pi\) | |||||||
\(110\) | 14.3307 | + | 3.85616i | 1.36638 | + | 0.367671i | ||||
\(111\) | − | 6.56944i | − | 0.623543i | ||||||
\(112\) | −6.93266 | − | 9.54199i | −0.655075 | − | 0.901633i | ||||
\(113\) | 0.711611 | + | 2.19011i | 0.0669427 | + | 0.206029i | 0.978932 | − | 0.204185i | \(-0.0654543\pi\) |
−0.911990 | + | 0.410213i | \(0.865454\pi\) | |||||||
\(114\) | −3.08760 | + | 9.50267i | −0.289181 | + | 0.890006i | ||||
\(115\) | 3.02542 | − | 4.16413i | 0.282122 | − | 0.388307i | ||||
\(116\) | 0.330905 | + | 0.240416i | 0.0307237 | + | 0.0223221i | ||||
\(117\) | −1.74170 | − | 3.15697i | −0.161020 | − | 0.291862i | ||||
\(118\) | −1.66207 | − | 5.11533i | −0.153006 | − | 0.470905i | ||||
\(119\) | 4.87827 | + | 6.71437i | 0.447191 | + | 0.615505i | ||||
\(120\) | 9.23403 | 0.842948 | ||||||||
\(121\) | 9.51462 | + | 5.52014i | 0.864966 | + | 0.501831i | ||||
\(122\) | 20.0208i | 1.81259i | ||||||||
\(123\) | −4.47466 | − | 6.15884i | −0.403466 | − | 0.555324i | ||||
\(124\) | −0.0669883 | + | 0.0217658i | −0.00601573 | + | 0.00195463i | ||||
\(125\) | −1.04000 | − | 0.337917i | −0.0930206 | − | 0.0302242i | ||||
\(126\) | 3.43221 | + | 2.49364i | 0.305765 | + | 0.222152i | ||||
\(127\) | 0.870936 | + | 0.632772i | 0.0772831 | + | 0.0561494i | 0.625756 | − | 0.780019i | \(-0.284791\pi\) |
−0.548473 | + | 0.836168i | \(0.684791\pi\) | |||||||
\(128\) | 10.2178 | + | 3.31996i | 0.903132 | + | 0.293445i | ||||
\(129\) | −3.19171 | − | 9.82308i | −0.281014 | − | 0.864874i | ||||
\(130\) | −1.99815 | + | 16.0091i | −0.175249 | + | 1.40409i | ||||
\(131\) | 10.2897 | 0.899014 | 0.449507 | − | 0.893277i | \(-0.351600\pi\) | ||||
0.449507 | + | 0.893277i | \(0.351600\pi\) | |||||||
\(132\) | 0.203904 | + | 0.0548670i | 0.0177475 | + | 0.00477556i | ||||
\(133\) | −21.8915 | −1.89823 | ||||||||
\(134\) | 13.3871 | − | 9.72632i | 1.15647 | − | 0.840226i | ||||
\(135\) | −3.05822 | + | 0.993674i | −0.263209 | + | 0.0855219i | ||||
\(136\) | −7.43460 | − | 2.41565i | −0.637512 | − | 0.207140i | ||||
\(137\) | 7.22116 | − | 9.93907i | 0.616945 | − | 0.849152i | −0.380181 | − | 0.924912i | \(-0.624138\pi\) |
0.997126 | + | 0.0757601i | \(0.0241383\pi\) | |||||||
\(138\) | −1.30922 | + | 1.80199i | −0.111449 | + | 0.153396i | ||||
\(139\) | 0.00498869 | − | 0.0153536i | 0.000423135 | − | 0.00130228i | −0.950845 | − | 0.309668i | \(-0.899782\pi\) |
0.951268 | + | 0.308366i | \(0.0997821\pi\) | |||||||
\(140\) | 0.192876 | + | 0.593611i | 0.0163010 | + | 0.0501693i | ||||
\(141\) | −1.07597 | − | 1.48094i | −0.0906127 | − | 0.124718i | ||||
\(142\) | 0.569603 | 0.0478001 | ||||||||
\(143\) | −4.51351 | + | 11.0738i | −0.377438 | + | 0.926035i | ||||
\(144\) | −3.86861 | −0.322385 | ||||||||
\(145\) | 12.1428 | + | 16.7131i | 1.00840 | + | 1.38795i | ||||
\(146\) | 4.06760 | + | 12.5188i | 0.336637 | + | 1.03606i | ||||
\(147\) | −0.709208 | + | 2.18272i | −0.0584945 | + | 0.180028i | ||||
\(148\) | −0.245841 | + | 0.338372i | −0.0202080 | + | 0.0278140i | ||||
\(149\) | −11.5025 | + | 15.8318i | −0.942322 | + | 1.29699i | 0.0125331 | + | 0.999921i | \(0.496010\pi\) |
−0.954855 | + | 0.297073i | \(0.903990\pi\) | |||||||
\(150\) | 7.06713 | + | 2.29625i | 0.577029 | + | 0.187488i | ||||
\(151\) | 5.78001 | − | 1.87804i | 0.470370 | − | 0.152833i | −0.0642345 | − | 0.997935i | \(-0.520461\pi\) |
0.534605 | + | 0.845102i | \(0.320461\pi\) | |||||||
\(152\) | 16.6815 | − | 12.1199i | 1.35305 | − | 0.983050i | ||||
\(153\) | 2.72221 | 0.220078 | ||||||||
\(154\) | −0.721534 | − | 14.0521i | −0.0581429 | − | 1.13235i | ||||
\(155\) | −3.55751 | −0.285746 | ||||||||
\(156\) | −0.0284305 | + | 0.227784i | −0.00227626 | + | 0.0182373i | ||||
\(157\) | 5.62075 | + | 17.2989i | 0.448584 | + | 1.38060i | 0.878505 | + | 0.477734i | \(0.158542\pi\) |
−0.429920 | + | 0.902867i | \(0.641458\pi\) | |||||||
\(158\) | −7.55947 | − | 2.45622i | −0.601399 | − | 0.195406i | ||||
\(159\) | −5.83535 | − | 4.23963i | −0.462773 | − | 0.336225i | ||||
\(160\) | −0.936560 | − | 0.680451i | −0.0740416 | − | 0.0537944i | ||||
\(161\) | −4.64128 | − | 1.50804i | −0.365784 | − | 0.118850i | ||||
\(162\) | 1.32342 | − | 0.430004i | 0.103977 | − | 0.0337843i | ||||
\(163\) | −7.22195 | − | 9.94016i | −0.565667 | − | 0.778574i | 0.426366 | − | 0.904551i | \(-0.359793\pi\) |
−0.992033 | + | 0.125977i | \(0.959793\pi\) | |||||||
\(164\) | 0.484674i | 0.0378467i | ||||||||
\(165\) | 8.93821 | + | 5.81800i | 0.695839 | + | 0.452930i | ||||
\(166\) | −17.7831 | −1.38023 | ||||||||
\(167\) | −2.41921 | − | 3.32975i | −0.187204 | − | 0.257664i | 0.705091 | − | 0.709117i | \(-0.250906\pi\) |
−0.892295 | + | 0.451452i | \(0.850906\pi\) | |||||||
\(168\) | −2.70544 | − | 8.32648i | −0.208729 | − | 0.642402i | ||||
\(169\) | −12.6012 | − | 3.19537i | −0.969321 | − | 0.245798i | ||||
\(170\) | −9.85442 | − | 7.15966i | −0.755800 | − | 0.549121i | ||||
\(171\) | −4.22054 | + | 5.80907i | −0.322753 | + | 0.444231i | ||||
\(172\) | −0.203204 | + | 0.625397i | −0.0154941 | + | 0.0476861i | ||||
\(173\) | −5.67003 | − | 17.4506i | −0.431084 | − | 1.32674i | −0.897046 | − | 0.441936i | \(-0.854292\pi\) |
0.465962 | − | 0.884805i | \(-0.345708\pi\) | |||||||
\(174\) | −5.25468 | − | 7.23245i | −0.398356 | − | 0.548290i | ||||
\(175\) | 16.2807i | 1.23070i | ||||||||
\(176\) | 8.06410 | + | 9.97990i | 0.607854 | + | 0.752263i | ||||
\(177\) | − | 3.86525i | − | 0.290530i | ||||||
\(178\) | 2.91303 | − | 2.11644i | 0.218341 | − | 0.158634i | ||||
\(179\) | 3.08404 | + | 9.49171i | 0.230512 | + | 0.709444i | 0.997685 | + | 0.0680035i | \(0.0216629\pi\) |
−0.767173 | + | 0.641441i | \(0.778337\pi\) | |||||||
\(180\) | 0.194705 | + | 0.0632634i | 0.0145124 | + | 0.00471537i | ||||
\(181\) | −8.89365 | − | 6.46162i | −0.661060 | − | 0.480288i | 0.205961 | − | 0.978560i | \(-0.433968\pi\) |
−0.867021 | + | 0.498272i | \(0.833968\pi\) | |||||||
\(182\) | 15.0211 | − | 2.88867i | 1.11344 | − | 0.214122i | ||||
\(183\) | −4.44603 | + | 13.6835i | −0.328660 | + | 1.01151i | ||||
\(184\) | 4.37161 | − | 1.42042i | 0.322279 | − | 0.104715i | ||||
\(185\) | −17.0902 | + | 12.4168i | −1.25650 | + | 0.912899i | ||||
\(186\) | 1.53948 | 0.112880 | ||||||||
\(187\) | −5.67442 | − | 7.02251i | −0.414955 | − | 0.513537i | ||||
\(188\) | 0.116544i | 0.00849981i | ||||||||
\(189\) | 1.79203 | + | 2.46651i | 0.130351 | + | 0.179412i | ||||
\(190\) | 30.5568 | − | 9.92849i | 2.21682 | − | 0.720289i | ||||
\(191\) | −4.97166 | + | 15.3012i | −0.359737 | + | 1.10716i | 0.593475 | + | 0.804852i | \(0.297755\pi\) |
−0.953212 | + | 0.302303i | \(0.902245\pi\) | |||||||
\(192\) | 6.66484 | + | 4.84229i | 0.480993 | + | 0.349462i | ||||
\(193\) | 14.7012 | − | 20.2345i | 1.05822 | − | 1.45651i | 0.176754 | − | 0.984255i | \(-0.443440\pi\) |
0.881462 | − | 0.472254i | \(-0.156560\pi\) | |||||||
\(194\) | −1.59343 | + | 4.90408i | −0.114402 | + | 0.352092i | ||||
\(195\) | −4.92083 | + | 10.4979i | −0.352388 | + | 0.751772i | ||||
\(196\) | 0.118211 | − | 0.0858852i | 0.00844363 | − | 0.00613466i | ||||
\(197\) | − | 22.0441i | − | 1.57058i | −0.619130 | − | 0.785288i | \(-0.712515\pi\) | ||
0.619130 | − | 0.785288i | \(-0.287485\pi\) | |||||||
\(198\) | −3.86794 | − | 2.51769i | −0.274882 | − | 0.178924i | ||||
\(199\) | 18.1393 | 1.28586 | 0.642932 | − | 0.765923i | \(-0.277718\pi\) | ||||
0.642932 | + | 0.765923i | \(0.277718\pi\) | |||||||
\(200\) | −9.01353 | − | 12.4061i | −0.637353 | − | 0.877241i | ||||
\(201\) | 11.3096 | − | 3.67470i | 0.797715 | − | 0.259193i | ||||
\(202\) | −10.8494 | − | 3.52518i | −0.763360 | − | 0.248031i | ||||
\(203\) | 11.5128 | − | 15.8460i | 0.808042 | − | 1.11217i | ||||
\(204\) | −0.140213 | − | 0.101871i | −0.00981685 | − | 0.00713236i | ||||
\(205\) | −7.56459 | + | 23.2814i | −0.528334 | + | 1.62604i | ||||
\(206\) | 14.4305 | − | 4.68874i | 1.00542 | − | 0.326680i | ||||
\(207\) | −1.29498 | + | 0.940858i | −0.0900073 | + | 0.0653941i | ||||
\(208\) | −9.53321 | + | 10.1822i | −0.661009 | + | 0.706012i | ||||
\(209\) | 23.7834 | − | 1.22121i | 1.64513 | − | 0.0844728i | ||||
\(210\) | − | 13.6420i | − | 0.941386i | ||||||
\(211\) | 7.01517 | − | 5.09682i | 0.482944 | − | 0.350880i | −0.319520 | − | 0.947579i | \(-0.603522\pi\) |
0.802464 | + | 0.596700i | \(0.203522\pi\) | |||||||
\(212\) | 0.141906 | + | 0.436741i | 0.00974612 | + | 0.0299955i | ||||
\(213\) | 0.389304 | + | 0.126493i | 0.0266747 | + | 0.00866712i | ||||
\(214\) | 3.78871 | − | 5.21471i | 0.258991 | − | 0.356470i | ||||
\(215\) | −19.5219 | + | 26.8696i | −1.33138 | + | 1.83249i | ||||
\(216\) | −2.73109 | − | 0.887385i | −0.185827 | − | 0.0603789i | ||||
\(217\) | 1.04230 | + | 3.20787i | 0.0707559 | + | 0.217764i | ||||
\(218\) | −15.2749 | + | 11.0978i | −1.03454 | + | 0.751640i | ||||
\(219\) | 9.45946i | 0.639211i | ||||||||
\(220\) | −0.242659 | − | 0.634153i | −0.0163601 | − | 0.0427546i | ||||
\(221\) | 6.70819 | − | 7.16490i | 0.451242 | − | 0.481963i | ||||
\(222\) | 7.39564 | − | 5.37325i | 0.496363 | − | 0.360629i | ||||
\(223\) | 11.7683 | − | 3.82374i | 0.788062 | − | 0.256057i | 0.112783 | − | 0.993620i | \(-0.464023\pi\) |
0.675279 | + | 0.737563i | \(0.264023\pi\) | |||||||
\(224\) | −0.339175 | + | 1.04387i | −0.0226621 | + | 0.0697468i | ||||
\(225\) | 4.32021 | + | 3.13881i | 0.288014 | + | 0.209254i | ||||
\(226\) | −1.88352 | + | 2.59244i | −0.125290 | + | 0.172446i | ||||
\(227\) | −12.6268 | − | 4.10269i | −0.838068 | − | 0.272305i | −0.141628 | − | 0.989920i | \(-0.545234\pi\) |
−0.696440 | + | 0.717615i | \(0.745234\pi\) | |||||||
\(228\) | 0.434774 | − | 0.141267i | 0.0287936 | − | 0.00935561i | ||||
\(229\) | 6.24048 | + | 8.58929i | 0.412383 | + | 0.567596i | 0.963798 | − | 0.266635i | \(-0.0859118\pi\) |
−0.551415 | + | 0.834231i | \(0.685912\pi\) | |||||||
\(230\) | 7.16238 | 0.472273 | ||||||||
\(231\) | 2.62742 | − | 9.76433i | 0.172871 | − | 0.642446i | ||||
\(232\) | 18.4487i | 1.21122i | ||||||||
\(233\) | −22.4787 | + | 16.3317i | −1.47263 | + | 1.06993i | −0.492789 | + | 0.870149i | \(0.664022\pi\) |
−0.979841 | + | 0.199779i | \(0.935978\pi\) | |||||||
\(234\) | 2.12944 | − | 4.54289i | 0.139206 | − | 0.296978i | ||||
\(235\) | −1.81896 | + | 5.59819i | −0.118656 | + | 0.365186i | ||||
\(236\) | −0.144645 | + | 0.199087i | −0.00941561 | + | 0.0129595i | ||||
\(237\) | −4.62118 | − | 3.35748i | −0.300178 | − | 0.218092i | ||||
\(238\) | −3.56878 | + | 10.9836i | −0.231330 | + | 0.711960i | ||||
\(239\) | 0.0290695 | − | 0.00944525i | 0.00188035 | − | 0.000610962i | −0.308077 | − | 0.951362i | \(-0.599685\pi\) |
0.309957 | + | 0.950751i | \(0.399685\pi\) | |||||||
\(240\) | 7.31199 | + | 10.0641i | 0.471987 | + | 0.649635i | ||||
\(241\) | − | 8.99759i | − | 0.579586i | −0.957089 | − | 0.289793i | \(-0.906414\pi\) | ||
0.957089 | − | 0.289793i | \(-0.0935864\pi\) | |||||||
\(242\) | 1.56778 | + | 15.2262i | 0.100781 | + | 0.978780i | ||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | 0.741065 | − | 0.538415i | 0.0474418 | − | 0.0344685i | ||||
\(245\) | 7.01875 | − | 2.28053i | 0.448411 | − | 0.145698i | ||||
\(246\) | 3.27351 | − | 10.0748i | 0.208711 | − | 0.642348i | ||||
\(247\) | 4.88912 | + | 25.4235i | 0.311087 | + | 1.61766i | ||||
\(248\) | −2.57023 | − | 1.86738i | −0.163210 | − | 0.118579i | ||||
\(249\) | −12.1541 | − | 3.94910i | −0.770234 | − | 0.250264i | ||||
\(250\) | −0.470219 | − | 1.44719i | −0.0297393 | − | 0.0915280i | ||||
\(251\) | 19.1837 | − | 13.9378i | 1.21086 | − | 0.879744i | 0.215555 | − | 0.976492i | \(-0.430844\pi\) |
0.995309 | + | 0.0967471i | \(0.0308438\pi\) | |||||||
\(252\) | − | 0.194104i | − | 0.0122274i | ||||||
\(253\) | 5.12651 | + | 1.37946i | 0.322301 | + | 0.0867258i | ||||
\(254\) | 1.49802i | 0.0939944i | ||||||||
\(255\) | −5.14520 | − | 7.08176i | −0.322205 | − | 0.443477i | ||||
\(256\) | −0.471690 | − | 1.45171i | −0.0294806 | − | 0.0907321i | ||||
\(257\) | 0.0297171 | − | 0.0914599i | 0.00185370 | − | 0.00570511i | −0.950125 | − | 0.311868i | \(-0.899045\pi\) |
0.951979 | + | 0.306163i | \(0.0990453\pi\) | |||||||
\(258\) | 8.44792 | − | 11.6276i | 0.525945 | − | 0.723901i | ||||
\(259\) | 16.2036 | + | 11.7726i | 1.00684 | + | 0.731514i | ||||
\(260\) | 0.646310 | − | 0.356569i | 0.0400824 | − | 0.0221135i | ||||
\(261\) | −1.98527 | − | 6.11004i | −0.122885 | − | 0.378202i | ||||
\(262\) | 8.41610 | + | 11.5838i | 0.519948 | + | 0.715647i | ||||
\(263\) | 15.8394 | 0.976698 | 0.488349 | − | 0.872648i | \(-0.337599\pi\) | ||||
0.488349 | + | 0.872648i | \(0.337599\pi\) | |||||||
\(264\) | 3.40374 | + | 8.89516i | 0.209486 | + | 0.547459i | ||||
\(265\) | 23.1938i | 1.42478i | ||||||||
\(266\) | −17.9054 | − | 24.6447i | −1.09785 | − | 1.51106i | ||||
\(267\) | 2.46096 | − | 0.799613i | 0.150608 | − | 0.0489355i | ||||
\(268\) | −0.720036 | − | 0.233954i | −0.0439832 | − | 0.0142910i | ||||
\(269\) | −2.60791 | − | 1.89476i | −0.159007 | − | 0.115526i | 0.505436 | − | 0.862864i | \(-0.331331\pi\) |
−0.664444 | + | 0.747338i | \(0.731331\pi\) | |||||||
\(270\) | −3.62001 | − | 2.63009i | −0.220307 | − | 0.160062i | ||||
\(271\) | −4.37008 | − | 1.41993i | −0.265464 | − | 0.0862544i | 0.173261 | − | 0.984876i | \(-0.444570\pi\) |
−0.438725 | + | 0.898622i | \(0.644570\pi\) | |||||||
\(272\) | −3.25431 | − | 10.0157i | −0.197322 | − | 0.607294i | ||||
\(273\) | 10.9079 | + | 1.36145i | 0.660175 | + | 0.0823988i | ||||
\(274\) | 17.0954 | 1.03277 | ||||||||
\(275\) | −0.908213 | − | 17.6877i | −0.0547673 | − | 1.06661i | ||||
\(276\) | 0.101909 | 0.00613421 | ||||||||
\(277\) | −21.1133 | + | 15.3397i | −1.26858 | + | 0.921676i | −0.999145 | − | 0.0413434i | \(-0.986836\pi\) |
−0.269433 | + | 0.963019i | \(0.586836\pi\) | |||||||
\(278\) | 0.0213649 | − | 0.00694188i | 0.00128138 | − | 0.000416346i | ||||
\(279\) | 1.05218 | + | 0.341875i | 0.0629925 | + | 0.0204675i | ||||
\(280\) | −16.5476 | + | 22.7759i | −0.988910 | + | 1.36112i | ||||
\(281\) | 3.28611 | − | 4.52295i | 0.196033 | − | 0.269816i | −0.699673 | − | 0.714463i | \(-0.746671\pi\) |
0.895706 | + | 0.444647i | \(0.146671\pi\) | |||||||
\(282\) | 0.787141 | − | 2.42257i | 0.0468736 | − | 0.144262i | ||||
\(283\) | −0.0940650 | − | 0.289502i | −0.00559158 | − | 0.0172091i | 0.948222 | − | 0.317609i | \(-0.102880\pi\) |
−0.953813 | + | 0.300400i | \(0.902880\pi\) | |||||||
\(284\) | −0.0153183 | − | 0.0210838i | −0.000908971 | − | 0.00125109i | ||||
\(285\) | 23.0893 | 1.36769 | ||||||||
\(286\) | −16.1581 | + | 3.97626i | −0.955450 | + | 0.235121i | ||||
\(287\) | 23.2096 | 1.37002 | ||||||||
\(288\) | 0.211609 | + | 0.291255i | 0.0124692 | + | 0.0171624i | ||||
\(289\) | −2.96334 | − | 9.12023i | −0.174314 | − | 0.536484i | ||||
\(290\) | −8.88324 | + | 27.3398i | −0.521642 | + | 1.60545i | ||||
\(291\) | −2.17811 | + | 2.99791i | −0.127683 | + | 0.175741i | ||||
\(292\) | 0.353992 | − | 0.487228i | 0.0207158 | − | 0.0285128i | ||||
\(293\) | 9.67826 | + | 3.14466i | 0.565410 | + | 0.183713i | 0.577754 | − | 0.816211i | \(-0.303929\pi\) |
−0.0123439 | + | 0.999924i | \(0.503929\pi\) | |||||||
\(294\) | −3.03730 | + | 0.986879i | −0.177139 | + | 0.0575560i | ||||
\(295\) | −10.0553 | + | 7.30563i | −0.585445 | + | 0.425350i | ||||
\(296\) | −18.8650 | −1.09651 | ||||||||
\(297\) | −2.08449 | − | 2.57971i | −0.120954 | − | 0.149690i | ||||
\(298\) | −27.2310 | −1.57745 | ||||||||
\(299\) | −0.714796 | + | 5.72691i | −0.0413377 | + | 0.331196i | ||||
\(300\) | −0.105060 | − | 0.323341i | −0.00606564 | − | 0.0186681i | ||||
\(301\) | 29.9484 | + | 9.73082i | 1.72620 | + | 0.560875i | ||||
\(302\) | 6.84179 | + | 4.97085i | 0.393701 | + | 0.286040i | ||||
\(303\) | −6.63234 | − | 4.81867i | −0.381018 | − | 0.276826i | ||||
\(304\) | 26.4187 | + | 8.58395i | 1.51521 | + | 0.492323i | ||||
\(305\) | 44.0006 | − | 14.2967i | 2.51947 | − | 0.818624i | ||||
\(306\) | 2.22654 | + | 3.06457i | 0.127283 | + | 0.175190i | ||||
\(307\) | 8.56615i | 0.488896i | 0.969662 | + | 0.244448i | \(0.0786067\pi\) | ||||
−0.969662 | + | 0.244448i | \(0.921393\pi\) | |||||||
\(308\) | −0.500731 | + | 0.404608i | −0.0285318 | + | 0.0230547i | ||||
\(309\) | 10.9039 | 0.620304 | ||||||||
\(310\) | −2.90975 | − | 4.00492i | −0.165262 | − | 0.227464i | ||||
\(311\) | −6.07774 | − | 18.7053i | −0.344637 | − | 1.06068i | −0.961778 | − | 0.273830i | \(-0.911709\pi\) |
0.617141 | − | 0.786852i | \(-0.288291\pi\) | |||||||
\(312\) | −9.06568 | + | 5.00153i | −0.513243 | + | 0.283156i | ||||
\(313\) | −16.0973 | − | 11.6954i | −0.909873 | − | 0.661062i | 0.0311094 | − | 0.999516i | \(-0.490096\pi\) |
−0.940983 | + | 0.338454i | \(0.890096\pi\) | |||||||
\(314\) | −14.8772 | + | 20.4767i | −0.839567 | + | 1.15557i | ||||
\(315\) | 3.02949 | − | 9.32382i | 0.170693 | − | 0.525338i | ||||
\(316\) | 0.112379 | + | 0.345867i | 0.00632182 | + | 0.0194566i | ||||
\(317\) | −2.10265 | − | 2.89405i | −0.118096 | − | 0.162546i | 0.745876 | − | 0.666085i | \(-0.232031\pi\) |
−0.863973 | + | 0.503539i | \(0.832031\pi\) | |||||||
\(318\) | − | 10.0369i | − | 0.562841i | ||||||
\(319\) | −11.6238 | + | 17.8577i | −0.650809 | + | 0.999841i | ||||
\(320\) | − | 26.4907i | − | 1.48088i | ||||||
\(321\) | 3.74749 | − | 2.72271i | 0.209164 | − | 0.151967i | ||||
\(322\) | −2.09847 | − | 6.45844i | −0.116943 | − | 0.359915i | ||||
\(323\) | −18.5899 | − | 6.04022i | −1.03437 | − | 0.336087i | ||||
\(324\) | −0.0515069 | − | 0.0374220i | −0.00286150 | − | 0.00207900i | ||||
\(325\) | 18.9074 | − | 3.63604i | 1.04880 | − | 0.201691i | ||||
\(326\) | 5.28334 | − | 16.2604i | 0.292617 | − | 0.900582i | ||||
\(327\) | −12.9043 | + | 4.19287i | −0.713612 | + | 0.231866i | ||||
\(328\) | −17.6860 | + | 12.8496i | −0.976543 | + | 0.709500i | ||||
\(329\) | 5.58092 | 0.307686 | ||||||||
\(330\) | 0.761014 | + | 14.8210i | 0.0418925 | + | 0.815867i | ||||
\(331\) | − | 32.1710i | − | 1.76828i | −0.467224 | − | 0.884139i | \(-0.654746\pi\) | ||
0.467224 | − | 0.884139i | \(-0.345254\pi\) | |||||||
\(332\) | 0.478237 | + | 0.658236i | 0.0262467 | + | 0.0361254i | ||||
\(333\) | 6.24791 | − | 2.03007i | 0.342383 | − | 0.111247i | ||||
\(334\) | 1.76981 | − | 5.44692i | 0.0968398 | − | 0.298042i | ||||
\(335\) | −30.9356 | − | 22.4760i | −1.69019 | − | 1.22800i | ||||
\(336\) | 6.93266 | − | 9.54199i | 0.378208 | − | 0.520558i | ||||
\(337\) | 5.62079 | − | 17.2990i | 0.306184 | − | 0.942338i | −0.673049 | − | 0.739598i | \(-0.735016\pi\) |
0.979233 | − | 0.202740i | \(-0.0649845\pi\) | |||||||
\(338\) | −6.70947 | − | 16.7995i | −0.364947 | − | 0.913773i | ||||
\(339\) | −1.86302 | + | 1.35356i | −0.101185 | + | 0.0735155i | ||||
\(340\) | 0.557303i | 0.0302240i | ||||||||
\(341\) | −1.31133 | − | 3.42696i | −0.0710124 | − | 0.185580i | ||||
\(342\) | −9.99170 | −0.540289 | ||||||||
\(343\) | 8.43140 | + | 11.6048i | 0.455253 | + | 0.626602i | ||||
\(344\) | −28.2083 | + | 9.16544i | −1.52089 | + | 0.494167i | ||||
\(345\) | 4.89523 | + | 1.59056i | 0.263550 | + | 0.0856327i | ||||
\(346\) | 15.0076 | − | 20.6562i | 0.806814 | − | 1.11048i | ||||
\(347\) | −26.9181 | − | 19.5571i | −1.44504 | − | 1.04988i | −0.986959 | − | 0.160969i | \(-0.948538\pi\) |
−0.458078 | − | 0.888912i | \(-0.651462\pi\) | |||||||
\(348\) | −0.126394 | + | 0.389002i | −0.00677545 | + | 0.0208527i | ||||
\(349\) | 20.5198 | − | 6.66728i | 1.09840 | − | 0.356891i | 0.296912 | − | 0.954905i | \(-0.404043\pi\) |
0.801486 | + | 0.598013i | \(0.204043\pi\) | |||||||
\(350\) | −18.3282 | + | 13.3162i | −0.979685 | + | 0.711783i | ||||
\(351\) | 2.46424 | − | 2.63201i | 0.131532 | − | 0.140487i | ||||
\(352\) | 0.310256 | − | 1.15301i | 0.0165367 | − | 0.0614556i | ||||
\(353\) | − | 8.91882i | − | 0.474701i | −0.971424 | − | 0.237350i | \(-0.923721\pi\) | ||
0.971424 | − | 0.237350i | \(-0.0762790\pi\) | |||||||
\(354\) | 4.35136 | − | 3.16145i | 0.231272 | − | 0.168029i | ||||
\(355\) | −0.406749 | − | 1.25184i | −0.0215880 | − | 0.0664410i | ||||
\(356\) | −0.156679 | − | 0.0509083i | −0.00830400 | − | 0.00269813i | ||||
\(357\) | −4.87827 | + | 6.71437i | −0.258186 | + | 0.355362i | ||||
\(358\) | −8.16295 | + | 11.2353i | −0.431425 | + | 0.593806i | ||||
\(359\) | 8.10039 | + | 2.63198i | 0.427522 | + | 0.138910i | 0.514872 | − | 0.857267i | \(-0.327840\pi\) |
−0.0873493 | + | 0.996178i | \(0.527840\pi\) | |||||||
\(360\) | 2.85347 | + | 8.78208i | 0.150391 | + | 0.462856i | ||||
\(361\) | 26.3402 | − | 19.1373i | 1.38633 | − | 1.00722i | ||||
\(362\) | − | 15.2972i | − | 0.804004i | ||||||
\(363\) | −2.30979 | + | 10.7548i | −0.121232 | + | 0.564479i | ||||
\(364\) | −0.510884 | − | 0.478319i | −0.0267776 | − | 0.0250707i | ||||
\(365\) | 24.6085 | − | 17.8791i | 1.28807 | − | 0.935837i | ||||
\(366\) | −19.0409 | + | 6.18675i | −0.995282 | + | 0.323387i | ||||
\(367\) | 1.04722 | − | 3.22300i | 0.0546642 | − | 0.168239i | −0.919997 | − | 0.391925i | \(-0.871809\pi\) |
0.974661 | + | 0.223686i | \(0.0718091\pi\) | |||||||
\(368\) | 5.00978 | + | 3.63982i | 0.261153 | + | 0.189739i | ||||
\(369\) | 4.47466 | − | 6.15884i | 0.232941 | − | 0.320616i | ||||
\(370\) | −27.9567 | − | 9.08369i | −1.45340 | − | 0.472239i | ||||
\(371\) | 20.9142 | − | 6.79544i | 1.08581 | − | 0.352802i | ||||
\(372\) | −0.0414011 | − | 0.0569837i | −0.00214655 | − | 0.00295447i | ||||
\(373\) | −9.79834 | −0.507339 | −0.253669 | − | 0.967291i | \(-0.581638\pi\) | ||||
−0.253669 | + | 0.967291i | \(0.581638\pi\) | |||||||
\(374\) | 3.26449 | − | 12.1319i | 0.168803 | − | 0.627325i | ||||
\(375\) | − | 1.09352i | − | 0.0564693i | ||||||
\(376\) | −4.25272 | + | 3.08978i | −0.219317 | + | 0.159343i | ||||
\(377\) | −20.9739 | − | 9.83136i | −1.08021 | − | 0.506341i | ||||
\(378\) | −1.31099 | + | 4.03480i | −0.0674299 | + | 0.207528i | ||||
\(379\) | 7.10341 | − | 9.77700i | 0.364877 | − | 0.502211i | −0.586622 | − | 0.809861i | \(-0.699543\pi\) |
0.951500 | + | 0.307650i | \(0.0995426\pi\) | |||||||
\(380\) | −1.18926 | − | 0.864048i | −0.0610077 | − | 0.0443247i | ||||
\(381\) | −0.332668 | + | 1.02385i | −0.0170431 | + | 0.0524532i | ||||
\(382\) | −21.2919 | + | 6.91817i | −1.08939 | + | 0.353965i | ||||
\(383\) | 13.7260 | + | 18.8922i | 0.701364 | + | 0.965345i | 0.999940 | + | 0.0109590i | \(0.00348844\pi\) |
−0.298576 | + | 0.954386i | \(0.596512\pi\) | |||||||
\(384\) | 10.7436i | 0.548257i | ||||||||
\(385\) | −30.3677 | + | 11.6202i | −1.54768 | + | 0.592221i | ||||
\(386\) | 34.8036 | 1.77146 | ||||||||
\(387\) | 8.35601 | − | 6.07100i | 0.424760 | − | 0.308606i | ||||
\(388\) | 0.224376 | − | 0.0729040i | 0.0113909 | − | 0.00370114i | ||||
\(389\) | −8.94512 | + | 27.5302i | −0.453535 | + | 1.39584i | 0.419311 | + | 0.907843i | \(0.362272\pi\) |
−0.872846 | + | 0.487996i | \(0.837728\pi\) | |||||||
\(390\) | −15.8430 | + | 3.04673i | −0.802242 | + | 0.154277i | ||||
\(391\) | −3.52521 | − | 2.56121i | −0.178277 | − | 0.129526i | ||||
\(392\) | 6.26798 | + | 2.03659i | 0.316581 | + | 0.102863i | ||||
\(393\) | 3.17969 | + | 9.78607i | 0.160394 | + | 0.493642i | ||||
\(394\) | 24.8165 | − | 18.0302i | 1.25024 | − | 0.908350i | ||||
\(395\) | 18.3678i | 0.924183i | ||||||||
\(396\) | 0.0108280 | + | 0.210879i | 0.000544129 | + | 0.0105971i | ||||
\(397\) | 8.63454i | 0.433355i | 0.976243 | + | 0.216678i | \(0.0695220\pi\) | ||||
−0.976243 | + | 0.216678i | \(0.930478\pi\) | |||||||
\(398\) | 14.8365 | + | 20.4206i | 0.743685 | + | 1.02359i | ||||
\(399\) | −6.76484 | − | 20.8200i | −0.338665 | − | 1.04230i | ||||
\(400\) | 6.38388 | − | 19.6476i | 0.319194 | − | 0.982378i | ||||
\(401\) | −7.79030 | + | 10.7224i | −0.389029 | + | 0.535452i | −0.957948 | − | 0.286941i | \(-0.907362\pi\) |
0.568919 | + | 0.822393i | \(0.307362\pi\) | |||||||
\(402\) | 13.3871 | + | 9.72632i | 0.667689 | + | 0.485105i | ||||
\(403\) | 3.49265 | − | 1.92690i | 0.173981 | − | 0.0959855i | ||||
\(404\) | 0.161287 | + | 0.496390i | 0.00802433 | + | 0.0246963i | ||||
\(405\) | −1.89008 | − | 2.60147i | −0.0939189 | − | 0.129268i | ||||
\(406\) | 27.2554 | 1.35267 | ||||||||
\(407\) | −18.2607 | − | 11.8861i | −0.905149 | − | 0.589173i | ||||
\(408\) | − | 7.81720i | − | 0.387009i | ||||||
\(409\) | −4.92749 | − | 6.78211i | −0.243649 | − | 0.335354i | 0.669626 | − | 0.742699i | \(-0.266455\pi\) |
−0.913274 | + | 0.407345i | \(0.866455\pi\) | |||||||
\(410\) | −32.3966 | + | 10.5263i | −1.59995 | + | 0.519857i | ||||
\(411\) | 11.6841 | + | 3.79639i | 0.576333 | + | 0.187262i | ||||
\(412\) | −0.561629 | − | 0.408047i | −0.0276695 | − | 0.0201030i | ||||
\(413\) | 9.53369 | + | 6.92663i | 0.469122 | + | 0.340837i | ||||
\(414\) | −2.11837 | − | 0.688300i | −0.104112 | − | 0.0338281i | ||||
\(415\) | 12.6987 | + | 39.0827i | 0.623356 | + | 1.91849i | ||||
\(416\) | 1.28805 | + | 0.160766i | 0.0631516 | + | 0.00788218i | ||||
\(417\) | 0.0161437 | 0.000790563 | ||||||||
\(418\) | 20.8276 | + | 25.7757i | 1.01871 | + | 1.26073i | ||||
\(419\) | 13.2656 | 0.648067 | 0.324034 | − | 0.946046i | \(-0.394961\pi\) | ||||
0.324034 | + | 0.946046i | \(0.394961\pi\) | |||||||
\(420\) | −0.504956 | + | 0.366872i | −0.0246393 | + | 0.0179015i | ||||
\(421\) | −16.0487 | + | 5.21452i | −0.782164 | + | 0.254140i | −0.672764 | − | 0.739857i | \(-0.734893\pi\) |
−0.109400 | + | 0.993998i | \(0.534893\pi\) | |||||||
\(422\) | 11.4756 | + | 3.72866i | 0.558626 | + | 0.181508i | ||||
\(423\) | 1.07597 | − | 1.48094i | 0.0523153 | − | 0.0720058i | ||||
\(424\) | −12.1747 | + | 16.7570i | −0.591255 | + | 0.813792i | ||||
\(425\) | −4.49211 | + | 13.8253i | −0.217900 | + | 0.670626i | ||||
\(426\) | 0.176017 | + | 0.541725i | 0.00852806 | + | 0.0262467i | ||||
\(427\) | −25.7831 | − | 35.4874i | −1.24773 | − | 1.71735i | ||||
\(428\) | −0.294911 | −0.0142550 | ||||||||
\(429\) | −11.9265 | − | 0.870619i | −0.575818 | − | 0.0420339i | ||||
\(430\) | −46.2161 | −2.22874 | ||||||||
\(431\) | −19.5151 | − | 26.8602i | −0.940008 | − | 1.29381i | −0.955825 | − | 0.293935i | \(-0.905035\pi\) |
0.0158177 | − | 0.999875i | \(-0.494965\pi\) | |||||||
\(432\) | −1.19547 | − | 3.67927i | −0.0575170 | − | 0.177019i | ||||
\(433\) | −7.27826 | + | 22.4002i | −0.349771 | + | 1.07648i | 0.609209 | + | 0.793009i | \(0.291487\pi\) |
−0.958980 | + | 0.283474i | \(0.908513\pi\) | |||||||
\(434\) | −2.75879 | + | 3.79715i | −0.132426 | + | 0.182269i | ||||
\(435\) | −12.1428 | + | 16.7131i | −0.582201 | + | 0.801331i | ||||
\(436\) | 0.821569 | + | 0.266944i | 0.0393460 | + | 0.0127843i | ||||
\(437\) | 10.9310 | − | 3.55170i | 0.522902 | − | 0.169901i | ||||
\(438\) | −10.6491 | + | 7.73704i | −0.508835 | + | 0.369690i | ||||
\(439\) | 14.6392 | 0.698692 | 0.349346 | − | 0.936994i | \(-0.386404\pi\) | ||||
0.349346 | + | 0.936994i | \(0.386404\pi\) | |||||||
\(440\) | 16.7072 | − | 25.6673i | 0.796483 | − | 1.22364i | ||||
\(441\) | −2.29505 | −0.109288 | ||||||||
\(442\) | 13.5527 | + | 1.69156i | 0.644637 | + | 0.0804595i | ||||
\(443\) | 3.42284 | + | 10.5344i | 0.162624 | + | 0.500505i | 0.998853 | − | 0.0478748i | \(-0.0152448\pi\) |
−0.836229 | + | 0.548380i | \(0.815245\pi\) | |||||||
\(444\) | −0.397780 | − | 0.129246i | −0.0188778 | − | 0.00613377i | ||||
\(445\) | −6.73158 | − | 4.89078i | −0.319107 | − | 0.231845i | ||||
\(446\) | 13.9301 | + | 10.1208i | 0.659609 | + | 0.479234i | ||||
\(447\) | −18.6114 | − | 6.04722i | −0.880291 | − | 0.286024i | ||||
\(448\) | −23.8871 | + | 7.76140i | −1.12856 | + | 0.366692i | ||||
\(449\) | −9.00409 | − | 12.3931i | −0.424929 | − | 0.584865i | 0.541851 | − | 0.840475i | \(-0.317724\pi\) |
−0.966780 | + | 0.255610i | \(0.917724\pi\) | |||||||
\(450\) | 7.43082i | 0.350292i | ||||||||
\(451\) | −25.2154 | + | 1.29474i | −1.18735 | + | 0.0609669i | ||||
\(452\) | 0.146612 | 0.00689603 | ||||||||
\(453\) | 3.57224 | + | 4.91677i | 0.167838 | + | 0.231010i | ||||
\(454\) | −5.70898 | − | 17.5704i | −0.267936 | − | 0.824621i | ||||
\(455\) | −17.0750 | − | 30.9498i | −0.800489 | − | 1.45095i | ||||
\(456\) | 16.6815 | + | 12.1199i | 0.781185 | + | 0.567564i | ||||
\(457\) | 22.8294 | − | 31.4219i | 1.06791 | − | 1.46986i | 0.195740 | − | 0.980656i | \(-0.437289\pi\) |
0.872172 | − | 0.489199i | \(-0.162711\pi\) | |||||||
\(458\) | −4.56533 | + | 14.0506i | −0.213324 | + | 0.656543i | ||||
\(459\) | 0.841209 | + | 2.58898i | 0.0392643 | + | 0.120843i | ||||
\(460\) | −0.192617 | − | 0.265114i | −0.00898080 | − | 0.0123610i | ||||
\(461\) | 12.1630i | 0.566489i | 0.959048 | + | 0.283244i | \(0.0914107\pi\) | ||||
−0.959048 | + | 0.283244i | \(0.908589\pi\) | |||||||
\(462\) | 13.1414 | − | 5.02855i | 0.611391 | − | 0.233949i | ||||
\(463\) | − | 8.23544i | − | 0.382733i | −0.981519 | − | 0.191367i | \(-0.938708\pi\) | ||
0.981519 | − | 0.191367i | \(-0.0612920\pi\) | |||||||
\(464\) | −20.1071 | + | 14.6087i | −0.933451 | + | 0.678192i | ||||
\(465\) | −1.09933 | − | 3.38339i | −0.0509803 | − | 0.156901i | ||||
\(466\) | −36.7714 | − | 11.9478i | −1.70340 | − | 0.553469i | ||||
\(467\) | −3.10334 | − | 2.25471i | −0.143605 | − | 0.104335i | 0.513663 | − | 0.857992i | \(-0.328288\pi\) |
−0.657268 | + | 0.753657i | \(0.728288\pi\) | |||||||
\(468\) | −0.225421 | + | 0.0433501i | −0.0104201 | + | 0.00200386i | ||||
\(469\) | −11.2033 | + | 34.4804i | −0.517322 | + | 1.59215i | ||||
\(470\) | −7.79001 | + | 2.53113i | −0.359326 | + | 0.116752i | ||||
\(471\) | −14.7153 | + | 10.6913i | −0.678045 | + | 0.492629i | ||||
\(472\) | −11.0996 | −0.510900 | ||||||||
\(473\) | −33.0794 | − | 8.90112i | −1.52099 | − | 0.409274i | ||||
\(474\) | − | 7.94850i | − | 0.365087i | ||||||
\(475\) | −22.5380 | − | 31.0208i | −1.03411 | − | 1.42333i | ||||
\(476\) | 0.502530 | − | 0.163282i | 0.0230334 | − | 0.00748401i | ||||
\(477\) | 2.22891 | − | 6.85987i | 0.102055 | − | 0.314092i | ||||
\(478\) | 0.0344095 | + | 0.0250000i | 0.00157386 | + | 0.00114347i | ||||
\(479\) | 7.93170 | − | 10.9171i | 0.362409 | − | 0.498813i | −0.588409 | − | 0.808563i | \(-0.700246\pi\) |
0.950818 | + | 0.309750i | \(0.100246\pi\) | |||||||
\(480\) | 0.357734 | − | 1.10099i | 0.0163283 | − | 0.0502532i | ||||
\(481\) | 10.0532 | − | 21.4472i | 0.458387 | − | 0.977906i | ||||
\(482\) | 10.1292 | − | 7.35928i | 0.461371 | − | 0.335206i | ||||
\(483\) | − | 4.88013i | − | 0.222053i | ||||||
\(484\) | 0.521435 | − | 0.467508i | 0.0237016 | − | 0.0212504i | ||||
\(485\) | 11.9158 | 0.541068 | ||||||||
\(486\) | 0.817916 | + | 1.12577i | 0.0371014 | + | 0.0510657i | ||||
\(487\) | −16.9669 | + | 5.51287i | −0.768842 | + | 0.249812i | −0.667069 | − | 0.744996i | \(-0.732452\pi\) |
−0.101773 | + | 0.994808i | \(0.532452\pi\) | |||||||
\(488\) | 39.2940 | + | 12.7674i | 1.77876 | + | 0.577953i | ||||
\(489\) | 7.22195 | − | 9.94016i | 0.326588 | − | 0.449510i | ||||
\(490\) | 8.30808 | + | 6.03618i | 0.375321 | + | 0.272687i | ||||
\(491\) | 9.57615 | − | 29.4724i | 0.432166 | − | 1.33007i | −0.463798 | − | 0.885941i | \(-0.653514\pi\) |
0.895963 | − | 0.444128i | \(-0.146486\pi\) | |||||||
\(492\) | −0.460952 | + | 0.149772i | −0.0207813 | + | 0.00675226i | ||||
\(493\) | 14.1487 | − | 10.2796i | 0.637226 | − | 0.462971i | ||||
\(494\) | −24.6220 | + | 26.2983i | −1.10780 | + | 1.18322i | ||||
\(495\) | −2.77118 | + | 10.2986i | −0.124555 | + | 0.462888i | ||||
\(496\) | − | 4.27996i | − | 0.192176i | ||||||
\(497\) | −1.00964 | + | 0.733545i | −0.0452885 | + | 0.0329040i | ||||
\(498\) | −5.49527 | − | 16.9127i | −0.246249 | − | 0.757876i | ||||
\(499\) | 32.8955 | + | 10.6884i | 1.47261 | + | 0.478479i | 0.931895 | − | 0.362729i | \(-0.118155\pi\) |
0.540712 | + | 0.841208i | \(0.318155\pi\) | |||||||
\(500\) | −0.0409218 | + | 0.0563240i | −0.00183008 | + | 0.00251889i | ||||
\(501\) | 2.41921 | − | 3.32975i | 0.108082 | − | 0.148762i | ||||
\(502\) | 31.3813 | + | 10.1964i | 1.40062 | + | 0.455088i | ||||
\(503\) | 4.68909 | + | 14.4315i | 0.209076 | + | 0.643470i | 0.999521 | + | 0.0309375i | \(0.00984928\pi\) |
−0.790445 | + | 0.612533i | \(0.790151\pi\) | |||||||
\(504\) | 7.08293 | − | 5.14605i | 0.315499 | − | 0.229223i | ||||
\(505\) | 26.3615i | 1.17307i | ||||||||
\(506\) | 2.64011 | + | 6.89953i | 0.117367 | + | 0.306722i | ||||
\(507\) | −0.854997 | − | 12.9719i | −0.0379718 | − | 0.576100i | ||||
\(508\) | 0.0554491 | − | 0.0402861i | 0.00246015 | − | 0.00178741i | ||||
\(509\) | −28.4796 | + | 9.25357i | −1.26233 | + | 0.410157i | −0.862326 | − | 0.506354i | \(-0.830993\pi\) |
−0.400009 | + | 0.916511i | \(0.630993\pi\) | |||||||
\(510\) | 3.76405 | − | 11.5846i | 0.166675 | − | 0.512973i | ||||
\(511\) | −23.3319 | − | 16.9516i | −1.03214 | − | 0.749895i | ||||
\(512\) | 13.8783 | − | 19.1019i | 0.613342 | − | 0.844193i | ||||
\(513\) | −6.82897 | − | 2.21887i | −0.301507 | − | 0.0979654i | ||||
\(514\) | 0.127268 | − | 0.0413520i | 0.00561357 | − | 0.00182396i | ||||
\(515\) | −20.6093 | − | 28.3663i | −0.908156 | − | 1.24997i | ||||
\(516\) | −0.657581 | −0.0289484 | ||||||||
\(517\) | −6.06324 | + | 0.311330i | −0.266661 | + | 0.0136923i | ||||
\(518\) | 27.8705i | 1.22456i | ||||||||
\(519\) | 14.8443 | − | 10.7850i | 0.651594 | − | 0.473410i | ||||
\(520\) | 30.1462 | + | 14.1308i | 1.32200 | + | 0.619678i | ||||
\(521\) | −1.19705 | + | 3.68415i | −0.0524438 | + | 0.161405i | −0.973848 | − | 0.227200i | \(-0.927043\pi\) |
0.921404 | + | 0.388605i | \(0.127043\pi\) | |||||||
\(522\) | 5.25468 | − | 7.23245i | 0.229991 | − | 0.316556i | ||||
\(523\) | 24.7603 | + | 17.9894i | 1.08269 | + | 0.786622i | 0.978150 | − | 0.207898i | \(-0.0666623\pi\) |
0.104542 | + | 0.994520i | \(0.466662\pi\) | |||||||
\(524\) | 0.202438 | − | 0.623041i | 0.00884355 | − | 0.0272177i | ||||
\(525\) | −15.4838 | + | 5.03101i | −0.675771 | + | 0.219571i | ||||
\(526\) | 12.9553 | + | 17.8314i | 0.564877 | + | 0.777487i | ||||
\(527\) | 3.01166i | 0.131190i | ||||||||
\(528\) | −6.99950 | + | 10.7534i | −0.304614 | + | 0.467980i | ||||
\(529\) | −20.4378 | −0.888601 | ||||||||
\(530\) | −26.1107 | + | 18.9705i | −1.13418 | + | 0.824028i | ||||
\(531\) | 3.67607 | − | 1.19443i | 0.159528 | − | 0.0518337i | ||||
\(532\) | −0.430691 | + | 1.32553i | −0.0186728 | + | 0.0574690i | ||||
\(533\) | −5.18350 | − | 26.9543i | −0.224522 | − | 1.16752i | ||||
\(534\) | 2.91303 | + | 2.11644i | 0.126059 | + | 0.0915874i | ||||
\(535\) | −14.1661 | − | 4.60285i | −0.612454 | − | 0.198998i | ||||
\(536\) | −10.5524 | − | 32.4770i | −0.455795 | − | 1.40279i | ||||
\(537\) | −8.07413 | + | 5.86620i | −0.348425 | + | 0.253145i | ||||
\(538\) | − | 4.48565i | − | 0.193390i | ||||||
\(539\) | 4.78401 | + | 5.92055i | 0.206062 | + | 0.255016i | ||||
\(540\) | 0.204725i | 0.00880994i | ||||||||
\(541\) | −1.64461 | − | 2.26361i | −0.0707072 | − | 0.0973201i | 0.772199 | − | 0.635381i | \(-0.219157\pi\) |
−0.842906 | + | 0.538061i | \(0.819157\pi\) | |||||||
\(542\) | −1.97586 | − | 6.08107i | −0.0848704 | − | 0.261204i | ||||
\(543\) | 3.39707 | − | 10.4551i | 0.145782 | − | 0.448672i | ||||
\(544\) | −0.576045 | + | 0.792858i | −0.0246977 | + | 0.0339935i | ||||
\(545\) | 35.2979 | + | 25.6454i | 1.51200 | + | 1.09853i | ||||
\(546\) | 7.38906 | + | 13.3933i | 0.316223 | + | 0.573179i | ||||
\(547\) | −8.60655 | − | 26.4882i | −0.367990 | − | 1.13256i | −0.948088 | − | 0.318009i | \(-0.896986\pi\) |
0.580098 | − | 0.814547i | \(-0.303014\pi\) | |||||||
\(548\) | −0.459743 | − | 0.632782i | −0.0196392 | − | 0.0270311i | ||||
\(549\) | −14.3877 | −0.614050 | ||||||||
\(550\) | 19.1694 | − | 15.4895i | 0.817384 | − | 0.660474i | ||||
\(551\) | 46.1303i | 1.96522i | ||||||||
\(552\) | 2.70180 | + | 3.71871i | 0.114996 | + | 0.158279i | ||||
\(553\) | 16.5625 | − | 5.38150i | 0.704311 | − | 0.228845i | ||||
\(554\) | −34.5379 | − | 11.2220i | −1.46737 | − | 0.476779i | ||||
\(555\) | −17.0902 | − | 12.4168i | −0.725439 | − | 0.527062i | ||||
\(556\) | −0.000831515 | 0 | 0.000604131i | −3.52641e−5 | 0 | 2.56209e-5i | ||||
\(557\) | 42.1587 | + | 13.6982i | 1.78632 | + | 0.580411i | 0.999332 | − | 0.0365563i | \(-0.0116388\pi\) |
0.786989 | + | 0.616967i | \(0.211639\pi\) | |||||||
\(558\) | 0.475726 | + | 1.46413i | 0.0201391 | + | 0.0619818i | ||||
\(559\) | 4.61230 | − | 36.9535i | 0.195080 | − | 1.56297i | ||||
\(560\) | −37.9265 | −1.60269 | ||||||||
\(561\) | 4.92531 | − | 7.56677i | 0.207947 | − | 0.319469i | ||||
\(562\) | 7.77954 | 0.328160 | ||||||||
\(563\) | −18.3079 | + | 13.3015i | −0.771585 | + | 0.560589i | −0.902442 | − | 0.430812i | \(-0.858227\pi\) |
0.130857 | + | 0.991401i | \(0.458227\pi\) | |||||||
\(564\) | −0.110839 | + | 0.0360139i | −0.00466718 | + | 0.00151646i | ||||
\(565\) | 7.04252 | + | 2.28825i | 0.296281 | + | 0.0962676i | ||||
\(566\) | 0.248974 | − | 0.342684i | 0.0104652 | − | 0.0144041i | ||||
\(567\) | −1.79203 | + | 2.46651i | −0.0752580 | + | 0.103584i | ||||
\(568\) | 0.363241 | − | 1.11794i | 0.0152412 | − | 0.0469077i | ||||
\(569\) | 13.4106 | + | 41.2735i | 0.562201 | + | 1.73028i | 0.676126 | + | 0.736786i | \(0.263657\pi\) |
−0.113926 | + | 0.993489i | \(0.536343\pi\) | |||||||
\(570\) | 18.8851 | + | 25.9931i | 0.791010 | + | 1.08873i | ||||
\(571\) | 7.31359 | 0.306064 | 0.153032 | − | 0.988221i | \(-0.451096\pi\) | ||||
0.153032 | + | 0.988221i | \(0.451096\pi\) | |||||||
\(572\) | 0.581719 | + | 0.491157i | 0.0243229 | + | 0.0205363i | ||||
\(573\) | −16.0886 | −0.672112 | ||||||||
\(574\) | 18.9835 | + | 26.1285i | 0.792355 | + | 1.09058i | ||||
\(575\) | −2.64140 | − | 8.12940i | −0.110154 | − | 0.339019i | ||||
\(576\) | −2.54574 | + | 7.83499i | −0.106073 | + | 0.326458i | ||||
\(577\) | 7.12951 | − | 9.81292i | 0.296805 | − | 0.408517i | −0.634404 | − | 0.773001i | \(-0.718755\pi\) |
0.931210 | + | 0.364484i | \(0.118755\pi\) | |||||||
\(578\) | 7.84347 | − | 10.7956i | 0.326245 | − | 0.449038i | ||||
\(579\) | 23.7871 | + | 7.72888i | 0.988556 | + | 0.321201i | ||||
\(580\) | 1.25087 | − | 0.406434i | 0.0519397 | − | 0.0168762i | ||||
\(581\) | 31.5210 | − | 22.9013i | 1.30771 | − | 0.950107i | ||||
\(582\) | −5.15646 | −0.213742 | ||||||||
\(583\) | −22.3426 | + | 8.54941i | −0.925335 | + | 0.354080i | ||||
\(584\) | 27.1641 | 1.12406 | ||||||||
\(585\) | −11.5047 | − | 1.43595i | −0.475662 | − | 0.0593691i | ||||
\(586\) | 4.37586 | + | 13.4675i | 0.180765 | + | 0.556338i | ||||
\(587\) | 40.3507 | + | 13.1107i | 1.66545 | + | 0.541138i | 0.982004 | − | 0.188861i | \(-0.0604794\pi\) |
0.683448 | + | 0.729999i | \(0.260479\pi\) | |||||||
\(588\) | 0.118211 | + | 0.0858852i | 0.00487493 | + | 0.00354185i | ||||
\(589\) | −6.42675 | − | 4.66931i | −0.264810 | − | 0.192395i | ||||
\(590\) | −16.4489 | − | 5.34456i | −0.677188 | − | 0.220032i | ||||
\(591\) | 20.9652 | − | 6.81200i | 0.862392 | − | 0.280208i | ||||
\(592\) | −14.9383 | − | 20.5609i | −0.613962 | − | 0.845046i | ||||
\(593\) | 22.1805i | 0.910843i | 0.890276 | + | 0.455422i | \(0.150511\pi\) | ||||
−0.890276 | + | 0.455422i | \(0.849489\pi\) | |||||||
\(594\) | 1.19921 | − | 4.45663i | 0.0492040 | − | 0.182858i | ||||
\(595\) | 26.6876 | 1.09408 | ||||||||
\(596\) | 0.732319 | + | 1.00795i | 0.0299970 | + | 0.0412873i | ||||
\(597\) | 5.60537 | + | 17.2515i | 0.229412 | + | 0.706059i | ||||
\(598\) | −7.03180 | + | 3.87944i | −0.287552 | + | 0.158642i | ||||
\(599\) | −2.88085 | − | 2.09306i | −0.117708 | − | 0.0855202i | 0.527374 | − | 0.849634i | \(-0.323177\pi\) |
−0.645082 | + | 0.764113i | \(0.723177\pi\) | |||||||
\(600\) | 9.01353 | − | 12.4061i | 0.367976 | − | 0.506475i | ||||
\(601\) | −3.50614 | + | 10.7908i | −0.143019 | + | 0.440166i | −0.996751 | − | 0.0805462i | \(-0.974334\pi\) |
0.853732 | + | 0.520712i | \(0.174334\pi\) | |||||||
\(602\) | 13.5406 | + | 41.6738i | 0.551876 | + | 1.69850i | ||||
\(603\) | 6.98970 | + | 9.62049i | 0.284642 | + | 0.391777i | ||||
\(604\) | − | 0.386928i | − | 0.0157439i | ||||||
\(605\) | 32.3439 | − | 14.3185i | 1.31497 | − | 0.582131i | ||||
\(606\) | − | 11.4077i | − | 0.463407i | ||||||
\(607\) | 15.7523 | − | 11.4447i | 0.639367 | − | 0.464527i | −0.220266 | − | 0.975440i | \(-0.570692\pi\) |
0.859633 | + | 0.510913i | \(0.170692\pi\) | |||||||
\(608\) | −0.798818 | − | 2.45851i | −0.0323963 | − | 0.0997057i | ||||
\(609\) | 18.6281 | + | 6.05265i | 0.754850 | + | 0.245266i | ||||
\(610\) | 52.0834 | + | 37.8408i | 2.10880 | + | 1.53213i | ||||
\(611\) | −1.24641 | − | 6.48136i | −0.0504244 | − | 0.262208i | ||||
\(612\) | 0.0535565 | − | 0.164830i | 0.00216489 | − | 0.00666286i | ||||
\(613\) | −21.5657 | + | 7.00713i | −0.871032 | + | 0.283015i | −0.710228 | − | 0.703971i | \(-0.751408\pi\) |
−0.160803 | + | 0.986987i | \(0.551408\pi\) | |||||||
\(614\) | −9.64347 | + | 7.00639i | −0.389179 | + | 0.282755i | ||||
\(615\) | −24.4795 | −0.987110 | ||||||||
\(616\) | −28.0396 | − | 7.54499i | −1.12975 | − | 0.303996i | ||||
\(617\) | − | 2.59709i | − | 0.104555i | −0.998633 | − | 0.0522774i | \(-0.983352\pi\) | ||
0.998633 | − | 0.0522774i | \(-0.0166480\pi\) | |||||||
\(618\) | 8.91851 | + | 12.2753i | 0.358755 | + | 0.493784i | ||||
\(619\) | 26.0889 | − | 8.47681i | 1.04860 | − | 0.340712i | 0.266483 | − | 0.963840i | \(-0.414138\pi\) |
0.782120 | + | 0.623128i | \(0.214138\pi\) | |||||||
\(620\) | −0.0699901 | + | 0.215408i | −0.00281087 | + | 0.00865097i | ||||
\(621\) | −1.29498 | − | 0.940858i | −0.0519657 | − | 0.0377553i | ||||
\(622\) | 16.0867 | − | 22.1415i | 0.645020 | − | 0.887794i | ||||
\(623\) | −2.43784 | + | 7.50291i | −0.0976701 | + | 0.300598i | ||||
\(624\) | −12.6298 | − | 5.92014i | −0.505597 | − | 0.236995i | ||||
\(625\) | 18.7563 | − | 13.6272i | 0.750250 | − | 0.545089i | ||||
\(626\) | − | 27.6876i | − | 1.10662i | ||||||
\(627\) | 8.51091 | + | 22.2420i | 0.339893 | + | 0.888259i | ||||
\(628\) | 1.15803 | 0.0462104 | ||||||||
\(629\) | 10.5116 | + | 14.4680i | 0.419125 | + | 0.576875i | ||||
\(630\) | 12.9743 | − | 4.21561i | 0.516908 | − | 0.167954i | ||||
\(631\) | −26.7218 | − | 8.68245i | −1.06378 | − | 0.345643i | −0.275717 | − | 0.961239i | \(-0.588915\pi\) |
−0.788062 | + | 0.615596i | \(0.788915\pi\) | |||||||
\(632\) | −9.64147 | + | 13.2703i | −0.383517 | + | 0.527866i | ||||
\(633\) | 7.01517 | + | 5.09682i | 0.278828 | + | 0.202580i | ||||
\(634\) | 1.53823 | − | 4.73418i | 0.0610908 | − | 0.188018i | ||||
\(635\) | 3.29228 | − | 1.06973i | 0.130650 | − | 0.0424508i | ||||
\(636\) | −0.371514 | + | 0.269921i | −0.0147315 | + | 0.0107031i | ||||
\(637\) | −5.65556 | + | 6.04059i | −0.224081 | + | 0.239337i | ||||
\(638\) | −29.6109 | + | 1.52044i | −1.17231 | + | 0.0601947i | ||||
\(639\) | 0.409338i | 0.0161932i | ||||||||
\(640\) | 27.9492 | − | 20.3063i | 1.10479 | − | 0.802676i | ||||
\(641\) | 14.0483 | + | 43.2361i | 0.554873 | + | 1.70772i | 0.696280 | + | 0.717771i | \(0.254837\pi\) |
−0.141407 | + | 0.989952i | \(0.545163\pi\) | |||||||
\(642\) | 6.13026 | + | 1.99184i | 0.241942 | + | 0.0786117i | ||||
\(643\) | 4.13004 | − | 5.68451i | 0.162873 | − | 0.224175i | −0.719778 | − | 0.694204i | \(-0.755757\pi\) |
0.882651 | + | 0.470029i | \(0.155757\pi\) | |||||||
\(644\) | −0.182624 | + | 0.251360i | −0.00719639 | + | 0.00990499i | ||||
\(645\) | −31.5871 | − | 10.2633i | −1.24374 | − | 0.404115i | ||||
\(646\) | −8.40511 | − | 25.8683i | −0.330695 | − | 1.01777i | ||||
\(647\) | −29.8982 | + | 21.7223i | −1.17542 | + | 0.853993i | −0.991648 | − | 0.128976i | \(-0.958831\pi\) |
−0.183772 | + | 0.982969i | \(0.558831\pi\) | |||||||
\(648\) | − | 2.87164i | − | 0.112809i | ||||||
\(649\) | −10.7440 | − | 6.99341i | −0.421739 | − | 0.274515i | ||||
\(650\) | 19.5580 | + | 18.3114i | 0.767129 | + | 0.718231i | ||||
\(651\) | −2.72878 | + | 1.98257i | −0.106949 | + | 0.0777031i | ||||
\(652\) | −0.743961 | + | 0.241728i | −0.0291358 | + | 0.00946678i | ||||
\(653\) | 1.75250 | − | 5.39363i | 0.0685805 | − | 0.211069i | −0.910893 | − | 0.412643i | \(-0.864606\pi\) |
0.979473 | + | 0.201574i | \(0.0646057\pi\) | |||||||
\(654\) | −15.2749 | − | 11.0978i | −0.597294 | − | 0.433960i | ||||
\(655\) | 19.4483 | − | 26.7683i | 0.759909 | − | 1.04593i | ||||
\(656\) | −28.0093 | − | 9.10079i | −1.09358 | − | 0.355326i | ||||
\(657\) | −8.99648 | + | 2.92313i | −0.350986 | + | 0.114042i | ||||
\(658\) | 4.56472 | + | 6.28280i | 0.177951 | + | 0.244929i | ||||
\(659\) | 0.0891110 | 0.00347127 | 0.00173564 | − | 0.999998i | \(-0.499448\pi\) | ||||
0.00173564 | + | 0.999998i | \(0.499448\pi\) | |||||||
\(660\) | 0.528129 | − | 0.426747i | 0.0205574 | − | 0.0166111i | ||||
\(661\) | 7.27774i | 0.283071i | 0.989933 | + | 0.141536i | \(0.0452040\pi\) | ||||
−0.989933 | + | 0.141536i | \(0.954796\pi\) | |||||||
\(662\) | 36.2170 | − | 26.3132i | 1.40761 | − | 1.02269i | ||||
\(663\) | 8.88717 | + | 4.16579i | 0.345149 | + | 0.161786i | ||||
\(664\) | −11.3404 | + | 34.9021i | −0.440093 | + | 1.35447i | ||||
\(665\) | −41.3766 | + | 56.9501i | −1.60452 | + | 2.20843i | ||||
\(666\) | 7.39564 | + | 5.37325i | 0.286575 | + | 0.208209i | ||||
\(667\) | −3.17779 | + | 9.78023i | −0.123044 | + | 0.378692i | ||||
\(668\) | −0.249212 | + | 0.0809739i | −0.00964230 | + | 0.00313297i | ||||
\(669\) | 7.27319 | + | 10.0107i | 0.281198 | + | 0.387036i | ||||
\(670\) | − | 53.2098i | − | 2.05567i | ||||||
\(671\) | 29.9910 | + | 37.1160i | 1.15779 | + | 1.43285i | ||||
\(672\) | −1.09759 | −0.0423406 | ||||||||
\(673\) | 18.8063 | − | 13.6635i | 0.724928 | − | 0.526691i | −0.163027 | − | 0.986622i | \(-0.552126\pi\) |
0.887955 | + | 0.459931i | \(0.152126\pi\) | |||||||
\(674\) | 24.0720 | − | 7.82146i | 0.927218 | − | 0.301271i | ||||
\(675\) | −1.65017 | + | 5.07871i | −0.0635151 | + | 0.195480i | ||||
\(676\) | −0.441394 | + | 0.700136i | −0.0169767 | + | 0.0269283i | ||||
\(677\) | 23.3516 | + | 16.9659i | 0.897476 | + | 0.652054i | 0.937816 | − | 0.347132i | \(-0.112844\pi\) |
−0.0403407 | + | 0.999186i | \(0.512844\pi\) | |||||||
\(678\) | −3.04759 | − | 0.990223i | −0.117042 | − | 0.0380293i | ||||
\(679\) | −3.49116 | − | 10.7447i | −0.133978 | − | 0.412343i | ||||
\(680\) | −20.3362 | + | 14.7751i | −0.779859 | + | 0.566601i | ||||
\(681\) | − | 13.2766i | − | 0.508760i | ||||||
\(682\) | 2.78539 | − | 4.27921i | 0.106658 | − | 0.163860i | ||||
\(683\) | 23.8036i | 0.910821i | 0.890282 | + | 0.455410i | \(0.150507\pi\) | ||||
−0.890282 | + | 0.455410i | \(0.849493\pi\) | |||||||
\(684\) | 0.268705 | + | 0.369841i | 0.0102742 | + | 0.0141412i | ||||
\(685\) | −12.2077 | − | 37.5713i | −0.466430 | − | 1.43553i | ||||
\(686\) | −6.16813 | + | 18.9836i | −0.235500 | + | 0.724796i | ||||
\(687\) | −6.24048 | + | 8.58929i | −0.238089 | + | 0.327702i | ||||
\(688\) | −32.3262 | − | 23.4863i | −1.23242 | − | 0.895408i | ||||
\(689\) | −12.5627 | − | 22.7709i | −0.478601 | − | 0.867502i | ||||
\(690\) | 2.21330 | + | 6.81182i | 0.0842587 | + | 0.259322i | ||||
\(691\) | 6.39262 | + | 8.79869i | 0.243187 | + | 0.334718i | 0.913111 | − | 0.407712i | \(-0.133673\pi\) |
−0.669924 | + | 0.742430i | \(0.733673\pi\) | |||||||
\(692\) | −1.16818 | −0.0444077 | ||||||||
\(693\) | 10.0983 | − | 0.518522i | 0.383605 | − | 0.0196970i | ||||
\(694\) | − | 46.2995i | − | 1.75750i | ||||||
\(695\) | −0.0305130 | − | 0.0419975i | −0.00115742 | − | 0.00159306i | ||||
\(696\) | −17.5458 | + | 5.70098i | −0.665072 | + | 0.216095i | ||||
\(697\) | 19.7092 | + | 6.40391i | 0.746539 | + | 0.242565i | ||||
\(698\) | 24.2892 | + | 17.6472i | 0.919362 | + | 0.667955i | ||||
\(699\) | −22.4787 | − | 16.3317i | −0.850223 | − | 0.617723i | ||||
\(700\) | 0.985796 | + | 0.320305i | 0.0372596 | + | 0.0121064i | ||||
\(701\) | −7.19231 | − | 22.1357i | −0.271650 | − | 0.836053i | −0.990086 | − | 0.140460i | \(-0.955142\pi\) |
0.718436 | − | 0.695593i | \(-0.244858\pi\) | |||||||
\(702\) | 4.97858 | + | 0.621393i | 0.187904 | + | 0.0234530i | ||||
\(703\) | −47.1712 | −1.77910 | ||||||||
\(704\) | 25.5186 | − | 9.76470i | 0.961767 | − | 0.368021i | ||||
\(705\) | −5.88629 | −0.221691 | ||||||||
\(706\) | 10.0405 | − | 7.29485i | 0.377879 | − | 0.274545i | ||||
\(707\) | 23.7706 | − | 7.72355i | 0.893987 | − | 0.290474i | ||||
\(708\) | −0.234041 | − | 0.0760445i | −0.00879580 | − | 0.00285793i | ||||
\(709\) | 1.47867 | − | 2.03522i | 0.0555328 | − | 0.0764343i | −0.780347 | − | 0.625346i | \(-0.784958\pi\) |
0.835880 | + | 0.548912i | \(0.184958\pi\) | |||||||
\(710\) | 1.07660 | − | 1.48181i | 0.0404039 | − | 0.0556113i | ||||
\(711\) | 1.76513 | − | 5.43252i | 0.0661976 | − | 0.203735i | ||||
\(712\) | −2.29620 | − | 7.06697i | −0.0860537 | − | 0.264846i | ||||
\(713\) | −1.04090 | − | 1.43267i | −0.0389820 | − | 0.0536541i | ||||
\(714\) | −11.5488 | −0.432204 | ||||||||
\(715\) | 20.2772 | + | 32.6721i | 0.758325 | + | 1.22187i | ||||
\(716\) | 0.635399 | 0.0237460 | ||||||||
\(717\) | 0.0179659 | + | 0.0247280i | 0.000670950 | + | 0.000923484i | ||||
\(718\) | 3.66245 | + | 11.2719i | 0.136682 | + | 0.420663i | ||||
\(719\) | 5.64689 | − | 17.3793i | 0.210593 | − | 0.648139i | −0.788844 | − | 0.614594i | \(-0.789320\pi\) |
0.999437 | − | 0.0335459i | \(-0.0106800\pi\) | |||||||
\(720\) | −7.31199 | + | 10.0641i | −0.272502 | + | 0.375067i | ||||
\(721\) | −19.5402 | + | 26.8947i | −0.727713 | + | 1.00161i | ||||
\(722\) | 43.0881 | + | 14.0002i | 1.60357 | + | 0.521033i | ||||
\(723\) | 8.55722 | − | 2.78041i | 0.318246 | − | 0.103405i | ||||
\(724\) | −0.566224 | + | 0.411386i | −0.0210435 | + | 0.0152890i | ||||
\(725\) | 34.3071 | 1.27413 | ||||||||
\(726\) | −13.9965 | + | 6.19622i | −0.519461 | + | 0.229963i | ||||
\(727\) | 41.2474 | 1.52978 | 0.764891 | − | 0.644159i | \(-0.222793\pi\) | ||||
0.764891 | + | 0.644159i | \(0.222793\pi\) | |||||||
\(728\) | 3.90960 | − | 31.3235i | 0.144899 | − | 1.16093i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | 40.2554 | + | 13.0798i | 1.48992 | + | 0.484104i | ||||
\(731\) | 22.7468 | + | 16.5265i | 0.841321 | + | 0.611256i | ||||
\(732\) | 0.741065 | + | 0.538415i | 0.0273905 | + | 0.0199004i | ||||
\(733\) | 25.0555 | + | 8.14103i | 0.925446 | + | 0.300696i | 0.732699 | − | 0.680553i | \(-0.238260\pi\) |
0.192747 | + | 0.981248i | \(0.438260\pi\) | |||||||
\(734\) | 4.48488 | − | 1.45722i | 0.165540 | − | 0.0537871i | ||||
\(735\) | 4.33782 | + | 5.97050i | 0.160003 | + | 0.220225i | ||||
\(736\) | − | 0.576264i | − | 0.0212414i | ||||||
\(737\) | 10.2481 | − | 38.0852i | 0.377493 | − | 1.40289i | ||||
\(738\) | 10.5933 | 0.389945 | ||||||||
\(739\) | −14.6349 | − | 20.1432i | −0.538354 | − | 0.740980i | 0.450021 | − | 0.893018i | \(-0.351416\pi\) |
−0.988375 | + | 0.152038i | \(0.951416\pi\) | |||||||
\(740\) | 0.415605 | + | 1.27910i | 0.0152779 | + | 0.0470206i | ||||
\(741\) | −22.6684 | + | 12.5061i | −0.832743 | + | 0.459424i | ||||
\(742\) | 24.7561 | + | 17.9864i | 0.908826 | + | 0.660301i | ||||
\(743\) | −6.26470 | + | 8.62263i | −0.229830 | + | 0.316333i | −0.908320 | − | 0.418276i | \(-0.862635\pi\) |
0.678490 | + | 0.734609i | \(0.262635\pi\) | |||||||
\(744\) | 0.981740 | − | 3.02149i | 0.0359923 | − | 0.110773i | ||||
\(745\) | 19.4454 | + | 59.8469i | 0.712426 | + | 2.19262i | ||||
\(746\) | −8.01422 | − | 11.0306i | −0.293422 | − | 0.403860i | ||||
\(747\) | − | 12.7796i | − | 0.467580i | ||||||
\(748\) | −0.536851 | + | 0.205427i | −0.0196292 | + | 0.00751114i | ||||
\(749\) | 14.1224i | 0.516021i | ||||||||
\(750\) | 1.23105 | − | 0.894410i | 0.0449516 | − | 0.0326592i | ||||
\(751\) | −9.27231 | − | 28.5372i | −0.338351 | − | 1.04134i | −0.965048 | − | 0.262075i | \(-0.915593\pi\) |
0.626696 | − | 0.779264i | \(-0.284407\pi\) | |||||||
\(752\) | −6.73506 | − | 2.18836i | −0.245603 | − | 0.0798011i | ||||
\(753\) | 19.1837 | + | 13.9378i | 0.699093 | + | 0.507921i | ||||
\(754\) | −6.08708 | − | 31.6529i | −0.221679 | − | 1.15273i | ||||
\(755\) | 6.03901 | − | 18.5862i | 0.219782 | − | 0.676420i | ||||
\(756\) | 0.184604 | − | 0.0599814i | 0.00671397 | − | 0.00218150i | ||||
\(757\) | 5.87848 | − | 4.27096i | 0.213657 | − | 0.155231i | −0.475810 | − | 0.879548i | \(-0.657845\pi\) |
0.689467 | + | 0.724317i | \(0.257845\pi\) | |||||||
\(758\) | 16.8166 | 0.610806 | ||||||||
\(759\) | 0.272237 | + | 5.30188i | 0.00988156 | + | 0.192446i | ||||
\(760\) | − | 66.3041i | − | 2.40510i | ||||||
\(761\) | −21.4831 | − | 29.5690i | −0.778762 | − | 1.07187i | −0.995417 | − | 0.0956258i | \(-0.969515\pi\) |
0.216655 | − | 0.976248i | \(-0.430485\pi\) | |||||||
\(762\) | −1.42470 | + | 0.462915i | −0.0516116 | + | 0.0167696i | ||||
\(763\) | 12.7831 | − | 39.3425i | 0.462781 | − | 1.42429i | ||||
\(764\) | 0.828676 | + | 0.602068i | 0.0299804 | + | 0.0217821i | ||||
\(765\) | 5.14520 | − | 7.08176i | 0.186025 | − | 0.256041i | ||||
\(766\) | −10.0415 | + | 30.9044i | −0.362813 | + | 1.11662i | ||||
\(767\) | 5.91499 | − | 12.6188i | 0.213578 | − | 0.455640i | ||||
\(768\) | 1.23490 | − | 0.897208i | 0.0445606 | − | 0.0323752i | ||||
\(769\) | − | 52.8371i | − | 1.90535i | −0.303985 | − | 0.952677i | \(-0.598317\pi\) | ||
0.303985 | − | 0.952677i | \(-0.401683\pi\) | |||||||
\(770\) | −37.9199 | − | 24.6825i | −1.36654 | − | 0.889496i | ||||
\(771\) | 0.0961666 | 0.00346336 | ||||||||
\(772\) | −0.935968 | − | 1.28825i | −0.0336862 | − | 0.0463651i | ||||
\(773\) | 37.5037 | − | 12.1857i | 1.34891 | − | 0.438289i | 0.456587 | − | 0.889679i | \(-0.349072\pi\) |
0.892327 | + | 0.451390i | \(0.149072\pi\) | |||||||
\(774\) | 13.6690 | + | 4.44134i | 0.491323 | + | 0.159641i | ||||
\(775\) | −3.47256 | + | 4.77957i | −0.124738 | + | 0.171687i | ||||
\(776\) | 8.60891 | + | 6.25474i | 0.309042 | + | 0.224532i | ||||
\(777\) | −6.18923 | + | 19.0485i | −0.222037 | + | 0.683360i | ||||
\(778\) | −38.3089 | + | 12.4473i | −1.37344 | + | 0.446258i | ||||
\(779\) | −44.2230 | + | 32.1299i | −1.58445 | + | 1.15117i | ||||
\(780\) | 0.538838 | + | 0.504491i | 0.0192935 | + | 0.0180637i | ||||
\(781\) | 1.05597 | − | 0.853263i | 0.0377857 | − | 0.0305321i | ||||
\(782\) | − | 6.06341i | − | 0.216827i | ||||||
\(783\) | 5.19751 | − | 3.77621i | 0.185744 | − | 0.134951i | ||||
\(784\) | 2.74365 | + | 8.44410i | 0.0979876 | + | 0.301575i | ||||
\(785\) | 55.6262 | + | 18.0741i | 1.98539 | + | 0.645091i | ||||
\(786\) | −8.41610 | + | 11.5838i | −0.300192 | + | 0.413179i | ||||
\(787\) | −30.7335 | + | 42.3011i | −1.09553 | + | 1.50787i | −0.254354 | + | 0.967111i | \(0.581863\pi\) |
−0.841178 | + | 0.540759i | \(0.818137\pi\) | |||||||
\(788\) | −1.33477 | − | 0.433693i | −0.0475492 | − | 0.0154497i | ||||
\(789\) | 4.89464 | + | 15.0642i | 0.174254 | + | 0.536298i | ||||
\(790\) | −20.6778 | + | 15.0233i | −0.735683 | + | 0.534505i | ||||
\(791\) | − | 7.02079i | − | 0.249631i | ||||||
\(792\) | −7.40798 | + | 5.98590i | −0.263231 | + | 0.212700i | ||||
\(793\) | −35.4547 | + | 37.8685i | −1.25903 | + | 1.34475i | ||||
\(794\) | −9.72046 | + | 7.06233i | −0.344966 | + | 0.250633i | ||||
\(795\) | −22.0586 | + | 7.16726i | −0.782337 | + | 0.254197i | ||||
\(796\) | 0.356872 | − | 1.09834i | 0.0126490 | − | 0.0389296i | ||||
\(797\) | −24.5818 | − | 17.8597i | −0.870731 | − | 0.632623i | 0.0600522 | − | 0.998195i | \(-0.480873\pi\) |
−0.930783 | + | 0.365572i | \(0.880873\pi\) | |||||||
\(798\) | 17.9054 | − | 24.6447i | 0.633844 | − | 0.872411i | ||||
\(799\) | 4.73923 | + | 1.53987i | 0.167662 | + | 0.0544767i | ||||
\(800\) | −1.82839 | + | 0.594081i | −0.0646434 | + | 0.0210039i | ||||
\(801\) | 1.52095 | + | 2.09341i | 0.0537403 | + | 0.0739672i | ||||
\(802\) | −18.4427 | −0.651236 | ||||||||
\(803\) | 26.2939 | + | 17.1150i | 0.927892 | + | 0.603977i | ||||
\(804\) | − | 0.757090i | − | 0.0267005i | ||||||
\(805\) | −12.6955 | + | 9.22383i | −0.447458 | + | 0.325097i | ||||
\(806\) | 5.02593 | + | 2.35587i | 0.177031 | + | 0.0829819i | ||||
\(807\) | 0.996135 | − | 3.06579i | 0.0350656 | − | 0.107921i | ||||
\(808\) | −13.8375 | + | 19.0457i | −0.486801 | + | 0.670024i | ||||
\(809\) | −41.8354 | − | 30.3952i | −1.47085 | − | 1.06864i | −0.980365 | − | 0.197192i | \(-0.936818\pi\) |
−0.490490 | − | 0.871447i | \(-0.663182\pi\) | |||||||
\(810\) | 1.38272 | − | 4.25557i | 0.0485838 | − | 0.149526i | ||||
\(811\) | −37.4761 | + | 12.1767i | −1.31596 | + | 0.427582i | −0.881106 | − | 0.472918i | \(-0.843201\pi\) |
−0.434856 | + | 0.900500i | \(0.643201\pi\) | |||||||
\(812\) | −0.732976 | − | 1.00886i | −0.0257224 | − | 0.0354039i | ||||
\(813\) | − | 4.59498i | − | 0.161153i | ||||||
\(814\) | −1.55475 | − | 30.2791i | −0.0544938 | − | 1.06128i | ||||
\(815\) | −39.5091 | −1.38394 | ||||||||
\(816\) | 8.51990 | − | 6.19007i | 0.298256 | − | 0.216696i | ||||
\(817\) | −70.5337 | + | 22.9178i | −2.46766 | + | 0.801792i | ||||
\(818\) | 3.60479 | − | 11.0944i | 0.126038 | − | 0.387906i | ||||
\(819\) | 2.07591 | + | 10.7947i | 0.0725380 | + | 0.377198i | ||||
\(820\) | 1.26087 | + | 0.916072i | 0.0440313 | + | 0.0319906i | ||||
\(821\) | −7.16964 | − | 2.32956i | −0.250222 | − | 0.0813021i | 0.181220 | − | 0.983443i | \(-0.441995\pi\) |
−0.431443 | + | 0.902140i | \(0.641995\pi\) | |||||||
\(822\) | 5.28276 | + | 16.2587i | 0.184257 | + | 0.567086i | ||||
\(823\) | 12.5196 | − | 9.09601i | 0.436405 | − | 0.317067i | −0.347800 | − | 0.937569i | \(-0.613071\pi\) |
0.784205 | + | 0.620502i | \(0.213071\pi\) | |||||||
\(824\) | − | 31.3122i | − | 1.09081i | ||||||
\(825\) | 16.5413 | − | 6.32956i | 0.575896 | − | 0.220367i | ||||
\(826\) | 16.3981i | 0.570563i | ||||||||
\(827\) | −21.7183 | − | 29.8927i | −0.755219 | − | 1.03947i | −0.997597 | − | 0.0692875i | \(-0.977927\pi\) |
0.242378 | − | 0.970182i | \(-0.422073\pi\) | |||||||
\(828\) | 0.0314917 | + | 0.0969214i | 0.00109441 | + | 0.00336825i | ||||
\(829\) | −7.62280 | + | 23.4606i | −0.264751 | + | 0.814819i | 0.727000 | + | 0.686637i | \(0.240914\pi\) |
−0.991751 | + | 0.128181i | \(0.959086\pi\) | |||||||
\(830\) | −33.6114 | + | 46.2621i | −1.16667 | + | 1.60578i | ||||
\(831\) | −21.1133 | − | 15.3397i | −0.732414 | − | 0.532130i | ||||
\(832\) | 14.3485 | + | 26.0078i | 0.497444 | + | 0.901657i | ||||
\(833\) | −1.93061 | − | 5.94182i | −0.0668918 | − | 0.205872i | ||||
\(834\) | 0.0132042 | + | 0.0181741i | 0.000457225 | + | 0.000629317i | ||||
\(835\) | −13.2348 | −0.458008 | ||||||||
\(836\) | 0.393968 | − | 1.46411i | 0.0136257 | − | 0.0506373i | ||||
\(837\) | 1.10633i | 0.0382404i | ||||||||
\(838\) | 10.8502 | + | 14.9340i | 0.374812 | + | 0.515885i | ||||
\(839\) | −6.66516 | + | 2.16564i | −0.230107 | + | 0.0747662i | −0.421801 | − | 0.906688i | \(-0.638602\pi\) |
0.191694 | + | 0.981455i | \(0.438602\pi\) | |||||||
\(840\) | −26.7746 | − | 8.69960i | −0.923812 | − | 0.300165i | ||||
\(841\) | −9.92974 | − | 7.21438i | −0.342405 | − | 0.248772i | ||||
\(842\) | −18.9968 | − | 13.8020i | −0.654672 | − | 0.475647i | ||||
\(843\) | 5.31704 | + | 1.72761i | 0.183129 | + | 0.0595021i | ||||
\(844\) | −0.170597 | − | 0.525043i | −0.00587219 | − | 0.0180727i | ||||
\(845\) | −32.1299 | + | 26.7421i | −1.10530 | + | 0.919956i | ||||
\(846\) | 2.54724 | 0.0875760 | ||||||||
\(847\) | −22.3876 | − | 24.9699i | −0.769246 | − | 0.857977i | ||||
\(848\) | −27.9039 | −0.958223 | ||||||||
\(849\) | 0.246265 | − | 0.178922i | 0.00845181 | − | 0.00614060i | ||||
\(850\) | −19.2382 | + | 6.25088i | −0.659865 | + | 0.214403i | ||||
\(851\) | −10.0009 | − | 3.24949i | −0.342827 | − | 0.111391i | ||||
\(852\) | 0.0153183 | − | 0.0210838i | 0.000524795 | − | 0.000722318i | ||||
\(853\) | −10.1565 | + | 13.9792i | −0.347751 | + | 0.478638i | −0.946685 | − | 0.322160i | \(-0.895591\pi\) |
0.598934 | + | 0.800798i | \(0.295591\pi\) | |||||||
\(854\) | 18.8620 | − | 58.0514i | 0.645446 | − | 1.98648i | ||||
\(855\) | 7.13499 | + | 21.9592i | 0.244011 | + | 0.750990i | ||||
\(856\) | −7.81863 | − | 10.7614i | −0.267235 | − | 0.367818i | ||||
\(857\) | 8.36334 | 0.285686 | 0.142843 | − | 0.989745i | \(-0.454376\pi\) | ||||
0.142843 | + | 0.989745i | \(0.454376\pi\) | |||||||
\(858\) | −8.77479 | − | 14.1386i | −0.299566 | − | 0.482682i | ||||
\(859\) | 46.8951 | 1.60004 | 0.800020 | − | 0.599973i | \(-0.204822\pi\) | ||||
0.800020 | + | 0.599973i | \(0.204822\pi\) | |||||||
\(860\) | 1.24288 | + | 1.71068i | 0.0423819 | + | 0.0583337i | ||||
\(861\) | 7.17215 | + | 22.0736i | 0.244426 | + | 0.752267i | ||||
\(862\) | 14.2766 | − | 43.9388i | 0.486262 | − | 1.49656i | ||||
\(863\) | 16.4052 | − | 22.5798i | 0.558440 | − | 0.768626i | −0.432687 | − | 0.901544i | \(-0.642435\pi\) |
0.991127 | + | 0.132918i | \(0.0424346\pi\) | |||||||
\(864\) | −0.211609 | + | 0.291255i | −0.00719910 | + | 0.00990871i | ||||
\(865\) | −56.1140 | − | 18.2325i | −1.90793 | − | 0.619925i | ||||
\(866\) | −31.1703 | + | 10.1279i | −1.05921 | + | 0.344158i | ||||
\(867\) | 7.75813 | − | 5.63661i | 0.263480 | − | 0.191429i | ||||
\(868\) | 0.214743 | 0.00728885 | ||||||||
\(869\) | −17.6937 | + | 6.77052i | −0.600218 | + | 0.229674i | ||||
\(870\) | −28.7468 | −0.974607 | ||||||||
\(871\) | 42.5456 | + | 5.31026i | 1.44160 | + | 0.179931i | ||||
\(872\) | 12.0404 | + | 37.0566i | 0.407740 | + | 1.25489i | ||||
\(873\) | −3.52426 | − | 1.14510i | −0.119278 | − | 0.0387558i | ||||
\(874\) | 12.9390 | + | 9.40077i | 0.437670 | + | 0.317986i | ||||
\(875\) | 2.69719 | + | 1.95962i | 0.0911816 | + | 0.0662473i | ||||
\(876\) | 0.572770 | + | 0.186104i | 0.0193521 | + | 0.00628789i | ||||
\(877\) | −13.5837 | + | 4.41360i | −0.458688 | + | 0.149037i | −0.529241 | − | 0.848471i | \(-0.677523\pi\) |
0.0705537 | + | 0.997508i | \(0.477523\pi\) | |||||||
\(878\) | 11.9737 | + | 16.4803i | 0.404092 | + | 0.556184i | ||||
\(879\) | 10.1763i | 0.343239i | ||||||||
\(880\) | 41.2042 | − | 2.11572i | 1.38899 | − | 0.0713209i | ||||
\(881\) | 1.01950 | 0.0343480 | 0.0171740 | − | 0.999853i | \(-0.494533\pi\) | ||||
0.0171740 | + | 0.999853i | \(0.494533\pi\) | |||||||
\(882\) | −1.87716 | − | 2.58368i | −0.0632071 | − | 0.0869971i | ||||
\(883\) | 17.2650 | + | 53.1363i | 0.581014 | + | 1.78818i | 0.614719 | + | 0.788747i | \(0.289270\pi\) |
−0.0337041 | + | 0.999432i | \(0.510730\pi\) | |||||||
\(884\) | −0.301858 | − | 0.547143i | −0.0101526 | − | 0.0184024i | ||||
\(885\) | −10.0553 | − | 7.30563i | −0.338007 | − | 0.245576i | ||||
\(886\) | −9.05968 | + | 12.4696i | −0.304366 | + | 0.418924i | ||||
\(887\) | −8.99122 | + | 27.6721i | −0.301896 | + | 0.929139i | 0.678922 | + | 0.734210i | \(0.262447\pi\) |
−0.980817 | + | 0.194928i | \(0.937553\pi\) | |||||||
\(888\) | −5.82962 | − | 17.9417i | −0.195629 | − | 0.602085i | ||||
\(889\) | −1.92918 | − | 2.65529i | −0.0647027 | − | 0.0890556i | ||||
\(890\) | − | 11.5784i | − | 0.388110i | ||||||
\(891\) | 1.80930 | − | 2.77964i | 0.0606140 | − | 0.0931216i | ||||
\(892\) | − | 0.787797i | − | 0.0263774i | ||||||
\(893\) | −10.6338 | + | 7.72588i | −0.355845 | + | 0.258537i | ||||
\(894\) | −8.41484 | − | 25.8982i | −0.281435 | − | 0.866166i | ||||
\(895\) | 30.5215 | + | 9.91705i | 1.02022 | + | 0.331490i | ||||
\(896\) | −26.4992 | − | 19.2528i | −0.885278 | − | 0.643192i | ||||
\(897\) | −5.66750 | + | 1.08990i | −0.189232 | + | 0.0363907i | ||||
\(898\) | 6.58709 | − | 20.2730i | 0.219814 | − | 0.676518i | ||||
\(899\) | 6.75971 | − | 2.19636i | 0.225449 | − | 0.0732529i | ||||
\(900\) | 0.275051 | − | 0.199836i | 0.00916835 | − | 0.00666120i | ||||
\(901\) | 19.6350 | 0.654137 | ||||||||
\(902\) | −22.0817 | − | 27.3276i | −0.735239 | − | 0.909910i | ||||
\(903\) | 31.4896i | 1.04791i | ||||||||
\(904\) | 3.88695 | + | 5.34992i | 0.129278 | + | 0.177936i | ||||
\(905\) | −33.6194 | + | 10.9236i | −1.11755 | + | 0.363113i | ||||
\(906\) | −2.61333 | + | 8.04301i | −0.0868221 | + | 0.267211i | ||||
\(907\) | 10.7990 | + | 7.84594i | 0.358575 | + | 0.260520i | 0.752458 | − | 0.658641i | \(-0.228868\pi\) |
−0.393882 | + | 0.919161i | \(0.628868\pi\) | |||||||
\(908\) | −0.496836 | + | 0.683836i | −0.0164881 | + | 0.0226939i | ||||
\(909\) | 2.53333 | − | 7.79678i | 0.0840251 | − | 0.258603i | ||||
\(910\) | 20.8763 | − | 44.5368i | 0.692043 | − | 1.47638i | ||||
\(911\) | −12.8226 | + | 9.31615i | −0.424831 | + | 0.308658i | −0.779579 | − | 0.626304i | \(-0.784567\pi\) |
0.354748 | + | 0.934962i | \(0.384567\pi\) | |||||||
\(912\) | 27.7782i | 0.919829i | ||||||||
\(913\) | −32.9676 | + | 26.6389i | −1.09107 | + | 0.881619i | ||||
\(914\) | 54.0462 | 1.78769 | ||||||||
\(915\) | 27.1938 | + | 37.4291i | 0.899001 | + | 1.23737i | ||||
\(916\) | 0.642856 | − | 0.208877i | 0.0212406 | − | 0.00690148i | ||||
\(917\) | −29.8355 | − | 9.69416i | −0.985257 | − | 0.320129i | ||||
\(918\) | −2.22654 | + | 3.06457i | −0.0734868 | + | 0.101146i | ||||
\(919\) | −17.1690 | − | 12.4740i | −0.566352 | − | 0.411479i | 0.267426 | − | 0.963578i | \(-0.413827\pi\) |
−0.833778 | + | 0.552100i | \(0.813827\pi\) | |||||||
\(920\) | 4.56750 | − | 14.0573i | 0.150586 | − | 0.463456i | ||||
\(921\) | −8.14689 | + | 2.64709i | −0.268449 | + | 0.0872244i | ||||
\(922\) | −13.6927 | + | 9.94834i | −0.450945 | + | 0.327631i | ||||
\(923\) | 1.07738 | + | 1.00871i | 0.0354625 | + | 0.0332021i | ||||
\(924\) | −0.539539 | − | 0.351193i | −0.0177495 | − | 0.0115534i | ||||
\(925\) | 35.0812i | 1.15346i | ||||||||
\(926\) | 9.27117 | − | 6.73590i | 0.304670 | − | 0.221355i | ||||
\(927\) | 3.36950 | + | 10.3703i | 0.110669 | + | 0.340604i | ||||
\(928\) | 2.19968 | + | 0.714720i | 0.0722081 | + | 0.0234618i | ||||
\(929\) | 4.29907 | − | 5.91716i | 0.141048 | − | 0.194136i | −0.732649 | − | 0.680607i | \(-0.761716\pi\) |
0.873697 | + | 0.486471i | \(0.161716\pi\) | |||||||
\(930\) | 2.90975 | − | 4.00492i | 0.0954143 | − | 0.131327i | ||||
\(931\) | 15.6728 | + | 5.09241i | 0.513656 | + | 0.166897i | ||||
\(932\) | 0.546644 | + | 1.68240i | 0.0179059 | + | 0.0551087i | ||||
\(933\) | 15.9117 | − | 11.5605i | 0.520926 | − | 0.378475i | ||||
\(934\) | − | 5.33779i | − | 0.174658i | ||||||
\(935\) | −28.9940 | + | 1.48876i | −0.948205 | + | 0.0486876i | ||||
\(936\) | −7.55819 | − | 7.07642i | −0.247047 | − | 0.231300i | ||||
\(937\) | 26.2965 | − | 19.1055i | 0.859070 | − | 0.624151i | −0.0685620 | − | 0.997647i | \(-0.521841\pi\) |
0.927632 | + | 0.373496i | \(0.121841\pi\) | |||||||
\(938\) | −47.9802 | + | 15.5897i | −1.56661 | + | 0.509022i | ||||
\(939\) | 6.14862 | − | 18.9235i | 0.200653 | − | 0.617546i | ||||
\(940\) | 0.303185 | + | 0.220277i | 0.00988880 | + | 0.00718463i | ||||
\(941\) | 10.5268 | − | 14.4889i | 0.343164 | − | 0.472325i | −0.602198 | − | 0.798347i | \(-0.705708\pi\) |
0.945362 | + | 0.326022i | \(0.105708\pi\) | |||||||
\(942\) | −24.0718 | − | 7.82139i | −0.784301 | − | 0.254835i | ||||
\(943\) | −11.5892 | + | 3.76555i | −0.377396 | + | 0.122623i | ||||
\(944\) | −8.78924 | − | 12.0974i | −0.286066 | − | 0.393735i | ||||
\(945\) | 9.80364 | 0.318913 | ||||||||
\(946\) | −17.0356 | − | 44.5200i | −0.553876 | − | 1.44747i | ||||
\(947\) | 18.3127i | 0.595082i | 0.954709 | + | 0.297541i | \(0.0961665\pi\) | ||||
−0.954709 | + | 0.297541i | \(0.903833\pi\) | |||||||
\(948\) | −0.294212 | + | 0.213758i | −0.00955557 | + | 0.00694253i | ||||
\(949\) | −14.4758 | + | 30.8822i | −0.469904 | + | 1.00248i | ||||
\(950\) | 16.4880 | − | 50.7449i | 0.534942 | − | 1.64638i | ||||
\(951\) | 2.10265 | − | 2.89405i | 0.0681830 | − | 0.0938459i | ||||
\(952\) | 19.2812 | + | 14.0086i | 0.624908 | + | 0.454022i | ||||
\(953\) | −14.1773 | + | 43.6334i | −0.459249 | + | 1.41342i | 0.406824 | + | 0.913507i | \(0.366636\pi\) |
−0.866073 | + | 0.499917i | \(0.833364\pi\) | |||||||
\(954\) | 9.54565 | − | 3.10157i | 0.309052 | − | 0.100417i | ||||
\(955\) | 30.4088 | + | 41.8541i | 0.984006 | + | 1.35437i | ||||
\(956\) | − | 0.00194598i | − | 6.29376e-5i | ||||||
\(957\) | −20.5757 | − | 5.53657i | −0.665117 | − | 0.178972i | ||||
\(958\) | 18.7775 | 0.606674 | ||||||||
\(959\) | −30.3020 | + | 22.0157i | −0.978503 | + | 0.710924i | ||||
\(960\) | 25.1942 | − | 8.18608i | 0.813138 | − | 0.264205i | ||||
\(961\) | 9.20130 | − | 28.3187i | 0.296816 | − | 0.913506i | ||||
\(962\) | 32.3671 | − | 6.22444i | 1.04356 | − | 0.200684i | ||||
\(963\) | 3.74749 | + | 2.72271i | 0.120761 | + | 0.0877380i | ||||
\(964\) | −0.544805 | − | 0.177018i | −0.0175470 | − | 0.00570136i | ||||
\(965\) | −24.8530 | − | 76.4896i | −0.800046 | − | 2.46229i | ||||
\(966\) | 5.49388 | − | 3.99153i | 0.176763 | − | 0.128426i | ||||
\(967\) | − | 5.29215i | − | 0.170184i | −0.996373 | − | 0.0850920i | \(-0.972882\pi\) | ||
0.996373 | − | 0.0850920i | \(-0.0271184\pi\) | |||||||
\(968\) | 30.8838 | + | 6.63287i | 0.992642 | + | 0.213188i | ||||
\(969\) | − | 19.5466i | − | 0.627927i | ||||||
\(970\) | 9.74612 | + | 13.4144i | 0.312929 | + | 0.430710i | ||||
\(971\) | 16.2120 | + | 49.8955i | 0.520269 | + | 1.60122i | 0.773486 | + | 0.633813i | \(0.218511\pi\) |
−0.253218 | + | 0.967409i | \(0.581489\pi\) | |||||||
\(972\) | 0.0196739 | − | 0.0605500i | 0.000631041 | − | 0.00194214i | ||||
\(973\) | −0.0289300 | + | 0.0398188i | −0.000927454 | + | 0.00127653i | ||||
\(974\) | −20.0837 | − | 14.5916i | −0.643522 | − | 0.467546i | ||||
\(975\) | 9.30080 | + | 16.8585i | 0.297864 | + | 0.539903i | ||||
\(976\) | 17.2000 | + | 52.9361i | 0.550558 | + | 1.69444i | ||||
\(977\) | 2.97853 | + | 4.09959i | 0.0952915 | + | 0.131158i | 0.854000 | − | 0.520272i | \(-0.174170\pi\) |
−0.758709 | + | 0.651430i | \(0.774170\pi\) | |||||||
\(978\) | 17.0972 | 0.546709 | ||||||||
\(979\) | 2.22998 | − | 8.28733i | 0.0712705 | − | 0.264864i | ||||
\(980\) | − | 0.469852i | − | 0.0150089i | ||||||
\(981\) | −7.97532 | − | 10.9771i | −0.254632 | − | 0.350471i | ||||
\(982\) | 41.0115 | − | 13.3254i | 1.30873 | − | 0.425232i | ||||
\(983\) | −36.1146 | − | 11.7344i | −1.15188 | − | 0.374268i | −0.330027 | − | 0.943971i | \(-0.607058\pi\) |
−0.821850 | + | 0.569704i | \(0.807058\pi\) | |||||||
\(984\) | −17.6860 | − | 12.8496i | −0.563808 | − | 0.409630i | ||||
\(985\) | −57.3471 | − | 41.6651i | −1.82723 | − | 1.32756i | ||||
\(986\) | 23.1449 | + | 7.52024i | 0.737084 | + | 0.239493i | ||||
\(987\) | 1.72460 | + | 5.30777i | 0.0548946 | + | 0.168948i | ||||
\(988\) | 1.63558 | + | 0.204143i | 0.0520348 | + | 0.00649464i | ||||
\(989\) | −16.5328 | −0.525713 | ||||||||
\(990\) | −13.8604 | + | 5.30370i | −0.440513 | + | 0.168563i | ||||
\(991\) | −30.0824 | −0.955600 | −0.477800 | − | 0.878469i | \(-0.658566\pi\) | ||||
−0.477800 | + | 0.878469i | \(0.658566\pi\) | |||||||
\(992\) | −0.322225 | + | 0.234110i | −0.0102306 | + | 0.00743299i | ||||
\(993\) | 30.5964 | − | 9.94138i | 0.970948 | − | 0.315480i | ||||
\(994\) | −1.65160 | − | 0.536637i | −0.0523855 | − | 0.0170211i | ||||
\(995\) | 34.2848 | − | 47.1890i | 1.08690 | − | 1.49599i | ||||
\(996\) | −0.478237 | + | 0.658236i | −0.0151535 | + | 0.0208570i | ||||
\(997\) | −7.89993 | + | 24.3135i | −0.250193 | + | 0.770016i | 0.744546 | + | 0.667572i | \(0.232666\pi\) |
−0.994739 | + | 0.102444i | \(0.967334\pi\) | |||||||
\(998\) | 14.8732 | + | 45.7749i | 0.470801 | + | 1.44898i | ||||
\(999\) | 3.86142 | + | 5.31479i | 0.122170 | + | 0.168152i |
(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 | 429.2.bb.a.25.10 | yes | 56 | |
11.4 | even | 5 | inner | 429.2.bb.a.103.5 | yes | 56 | |
13.12 | even | 2 | inner | 429.2.bb.a.25.5 | ✓ | 56 | |
143.103 | even | 10 | inner | 429.2.bb.a.103.10 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bb.a.25.5 | ✓ | 56 | 13.12 | even | 2 | inner | |
429.2.bb.a.25.10 | yes | 56 | 1.1 | even | 1 | trivial | |
429.2.bb.a.103.5 | yes | 56 | 11.4 | even | 5 | inner | |
429.2.bb.a.103.10 | yes | 56 | 143.103 | even | 10 | inner |