Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [350,2,Mod(71,350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(350, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([6, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("350.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 350.h (of order \(5\), 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: | \(2.79476407074\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 25x^{14} + 241x^{12} + 1145x^{10} + 2841x^{8} + 3600x^{6} + 2156x^{4} + 480x^{2} + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 5 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 71.2 | ||
Root | \(-1.07895i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 350.71 |
Dual form | 350.2.h.c.281.2 |
$q$-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 \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.309017 | − | 0.951057i | 0.218508 | − | 0.672499i | ||||
\(3\) | −1.46563 | − | 1.06484i | −0.846182 | − | 0.614787i | 0.0779087 | − | 0.996961i | \(-0.475176\pi\) |
−0.924091 | + | 0.382173i | \(0.875176\pi\) | |||||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | −1.01402 | + | 1.99293i | −0.453485 | + | 0.891264i | ||||
\(6\) | −1.46563 | + | 1.06484i | −0.598341 | + | 0.434720i | ||||
\(7\) | −1.00000 | −0.377964 | ||||||||
\(8\) | −0.809017 | + | 0.587785i | −0.286031 | + | 0.207813i | ||||
\(9\) | 0.0871311 | + | 0.268162i | 0.0290437 | + | 0.0893873i | ||||
\(10\) | 1.58203 | + | 1.58024i | 0.500283 | + | 0.499717i | ||||
\(11\) | −1.36507 | + | 4.20127i | −0.411585 | + | 1.26673i | 0.503684 | + | 0.863888i | \(0.331977\pi\) |
−0.915270 | + | 0.402842i | \(0.868023\pi\) | |||||||
\(12\) | 0.559821 | + | 1.72295i | 0.161606 | + | 0.497373i | ||||
\(13\) | 1.38053 | + | 4.24883i | 0.382890 | + | 1.17841i | 0.937999 | + | 0.346637i | \(0.112676\pi\) |
−0.555109 | + | 0.831777i | \(0.687324\pi\) | |||||||
\(14\) | −0.309017 | + | 0.951057i | −0.0825883 | + | 0.254181i | ||||
\(15\) | 3.60834 | − | 1.84112i | 0.931669 | − | 0.475374i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 3.92400 | − | 2.85095i | 0.951710 | − | 0.691458i | 0.000499390 | − | 1.00000i | \(-0.499841\pi\) |
0.951211 | + | 0.308542i | \(0.0998410\pi\) | |||||||
\(18\) | 0.281962 | 0.0664591 | ||||||||
\(19\) | −5.02687 | + | 3.65224i | −1.15324 | + | 0.837881i | −0.988909 | − | 0.148524i | \(-0.952548\pi\) |
−0.164335 | + | 0.986405i | \(0.552548\pi\) | |||||||
\(20\) | 1.99178 | − | 1.01628i | 0.445375 | − | 0.227248i | ||||
\(21\) | 1.46563 | + | 1.06484i | 0.319827 | + | 0.232368i | ||||
\(22\) | 3.57381 | + | 2.59653i | 0.761939 | + | 0.553581i | ||||
\(23\) | 0.410005 | − | 1.26186i | 0.0854919 | − | 0.263117i | −0.899167 | − | 0.437605i | \(-0.855827\pi\) |
0.984659 | + | 0.174488i | \(0.0558269\pi\) | |||||||
\(24\) | 1.81162 | 0.369795 | ||||||||
\(25\) | −2.94351 | − | 4.04175i | −0.588702 | − | 0.808350i | ||||
\(26\) | 4.46749 | 0.876147 | ||||||||
\(27\) | −1.52161 | + | 4.68305i | −0.292835 | + | 0.901253i | ||||
\(28\) | 0.809017 | + | 0.587785i | 0.152890 | + | 0.111081i | ||||
\(29\) | 0.532068 | + | 0.386570i | 0.0988025 | + | 0.0717842i | 0.636090 | − | 0.771615i | \(-0.280551\pi\) |
−0.537287 | + | 0.843399i | \(0.680551\pi\) | |||||||
\(30\) | −0.635968 | − | 4.00067i | −0.116111 | − | 0.730419i | ||||
\(31\) | −8.36383 | + | 6.07668i | −1.50219 | + | 1.09140i | −0.532688 | + | 0.846312i | \(0.678818\pi\) |
−0.969500 | + | 0.245092i | \(0.921182\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 6.47438 | − | 4.70391i | 1.12705 | − | 0.818846i | ||||
\(34\) | −1.49884 | − | 4.61294i | −0.257048 | − | 0.791113i | ||||
\(35\) | 1.01402 | − | 1.99293i | 0.171401 | − | 0.336866i | ||||
\(36\) | 0.0871311 | − | 0.268162i | 0.0145218 | − | 0.0446936i | ||||
\(37\) | −1.46346 | − | 4.50407i | −0.240591 | − | 0.740464i | −0.996330 | − | 0.0855911i | \(-0.972722\pi\) |
0.755739 | − | 0.654873i | \(-0.227278\pi\) | |||||||
\(38\) | 1.92009 | + | 5.90944i | 0.311481 | + | 0.958639i | ||||
\(39\) | 2.50099 | − | 7.69727i | 0.400480 | − | 1.23255i | ||||
\(40\) | −0.351050 | − | 2.20834i | −0.0555058 | − | 0.349169i | ||||
\(41\) | 3.30435 | + | 10.1697i | 0.516053 | + | 1.58825i | 0.781358 | + | 0.624083i | \(0.214527\pi\) |
−0.265306 | + | 0.964164i | \(0.585473\pi\) | |||||||
\(42\) | 1.46563 | − | 1.06484i | 0.226152 | − | 0.164309i | ||||
\(43\) | 7.00599 | 1.06840 | 0.534202 | − | 0.845357i | \(-0.320612\pi\) | ||||
0.534202 | + | 0.845357i | \(0.320612\pi\) | |||||||
\(44\) | 3.57381 | − | 2.59653i | 0.538772 | − | 0.391441i | ||||
\(45\) | −0.622780 | − | 0.0982769i | −0.0928385 | − | 0.0146503i | ||||
\(46\) | −1.07341 | − | 0.779875i | −0.158265 | − | 0.114986i | ||||
\(47\) | −3.94687 | − | 2.86757i | −0.575710 | − | 0.418278i | 0.261465 | − | 0.965213i | \(-0.415794\pi\) |
−0.837175 | + | 0.546935i | \(0.815794\pi\) | |||||||
\(48\) | 0.559821 | − | 1.72295i | 0.0808032 | − | 0.248687i | ||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | −4.75353 | + | 1.55047i | −0.672250 | + | 0.219270i | ||||
\(51\) | −8.78695 | −1.23042 | ||||||||
\(52\) | 1.38053 | − | 4.24883i | 0.191445 | − | 0.589207i | ||||
\(53\) | −10.2187 | − | 7.42433i | −1.40365 | − | 1.01981i | −0.994208 | − | 0.107474i | \(-0.965724\pi\) |
−0.409441 | − | 0.912337i | \(-0.634276\pi\) | |||||||
\(54\) | 3.98364 | + | 2.89428i | 0.542105 | + | 0.393862i | ||||
\(55\) | −6.98859 | − | 6.98068i | −0.942342 | − | 0.941274i | ||||
\(56\) | 0.809017 | − | 0.587785i | 0.108109 | − | 0.0785461i | ||||
\(57\) | 11.2566 | 1.49097 | ||||||||
\(58\) | 0.532068 | − | 0.386570i | 0.0698639 | − | 0.0507591i | ||||
\(59\) | −2.67363 | − | 8.22858i | −0.348077 | − | 1.07127i | −0.959916 | − | 0.280288i | \(-0.909570\pi\) |
0.611839 | − | 0.790982i | \(-0.290430\pi\) | |||||||
\(60\) | −4.00139 | − | 0.631433i | −0.516577 | − | 0.0815177i | ||||
\(61\) | −4.77954 | + | 14.7099i | −0.611957 | + | 1.88341i | −0.172941 | + | 0.984932i | \(0.555327\pi\) |
−0.439017 | + | 0.898479i | \(0.644673\pi\) | |||||||
\(62\) | 3.19470 | + | 9.83227i | 0.405727 | + | 1.24870i | ||||
\(63\) | −0.0871311 | − | 0.268162i | −0.0109775 | − | 0.0337852i | ||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | −9.86750 | − | 1.55713i | −1.22391 | − | 0.193138i | ||||
\(66\) | −2.47299 | − | 7.61109i | −0.304404 | − | 0.936861i | ||||
\(67\) | −6.27428 | + | 4.55853i | −0.766525 | + | 0.556913i | −0.900905 | − | 0.434017i | \(-0.857096\pi\) |
0.134380 | + | 0.990930i | \(0.457096\pi\) | |||||||
\(68\) | −4.85033 | −0.588189 | ||||||||
\(69\) | −1.94460 | + | 1.41284i | −0.234103 | + | 0.170086i | ||||
\(70\) | −1.58203 | − | 1.58024i | −0.189089 | − | 0.188875i | ||||
\(71\) | −5.75958 | − | 4.18458i | −0.683537 | − | 0.496619i | 0.190992 | − | 0.981592i | \(-0.438829\pi\) |
−0.874529 | + | 0.484973i | \(0.838829\pi\) | |||||||
\(72\) | −0.228112 | − | 0.165733i | −0.0268833 | − | 0.0195318i | ||||
\(73\) | 1.20089 | − | 3.69596i | 0.140554 | − | 0.432580i | −0.855859 | − | 0.517210i | \(-0.826971\pi\) |
0.996412 | + | 0.0846299i | \(0.0269708\pi\) | |||||||
\(74\) | −4.73586 | −0.550532 | ||||||||
\(75\) | 0.0102670 | + | 9.05809i | 0.00118553 | + | 1.04594i | ||||
\(76\) | 6.21356 | 0.712744 | ||||||||
\(77\) | 1.36507 | − | 4.20127i | 0.155565 | − | 0.478779i | ||||
\(78\) | −6.54769 | − | 4.75717i | −0.741380 | − | 0.538644i | ||||
\(79\) | 0.488238 | + | 0.354726i | 0.0549311 | + | 0.0399098i | 0.614912 | − | 0.788596i | \(-0.289192\pi\) |
−0.559981 | + | 0.828506i | \(0.689192\pi\) | |||||||
\(80\) | −2.20874 | − | 0.348546i | −0.246944 | − | 0.0389687i | ||||
\(81\) | 7.90117 | − | 5.74054i | 0.877908 | − | 0.637837i | ||||
\(82\) | 10.6931 | 1.18086 | ||||||||
\(83\) | 0.259547 | − | 0.188572i | 0.0284890 | − | 0.0206984i | −0.573450 | − | 0.819241i | \(-0.694395\pi\) |
0.601939 | + | 0.798542i | \(0.294395\pi\) | |||||||
\(84\) | −0.559821 | − | 1.72295i | −0.0610815 | − | 0.187989i | ||||
\(85\) | 1.70271 | + | 10.7112i | 0.184685 | + | 1.16179i | ||||
\(86\) | 2.16497 | − | 6.66309i | 0.233455 | − | 0.718500i | ||||
\(87\) | −0.368179 | − | 1.13314i | −0.0394729 | − | 0.121485i | ||||
\(88\) | −1.36507 | − | 4.20127i | −0.145517 | − | 0.447856i | ||||
\(89\) | 2.65097 | − | 8.15886i | 0.281003 | − | 0.864838i | −0.706566 | − | 0.707648i | \(-0.749756\pi\) |
0.987568 | − | 0.157190i | \(-0.0502435\pi\) | |||||||
\(90\) | −0.285916 | + | 0.561930i | −0.0301382 | + | 0.0592326i | ||||
\(91\) | −1.38053 | − | 4.24883i | −0.144719 | − | 0.445399i | ||||
\(92\) | −1.07341 | + | 0.779875i | −0.111910 | + | 0.0813076i | ||||
\(93\) | 18.7290 | 1.94211 | ||||||||
\(94\) | −3.94687 | + | 2.86757i | −0.407089 | + | 0.295767i | ||||
\(95\) | −2.18127 | − | 13.7216i | −0.223793 | − | 1.40781i | ||||
\(96\) | −1.46563 | − | 1.06484i | −0.149585 | − | 0.108680i | ||||
\(97\) | −4.26584 | − | 3.09932i | −0.433131 | − | 0.314688i | 0.349769 | − | 0.936836i | \(-0.386260\pi\) |
−0.782899 | + | 0.622148i | \(0.786260\pi\) | |||||||
\(98\) | 0.309017 | − | 0.951057i | 0.0312154 | − | 0.0960712i | ||||
\(99\) | −1.24556 | −0.125183 | ||||||||
\(100\) | 0.00566732 | + | 5.00000i | 0.000566732 | + | 0.500000i | ||||
\(101\) | 3.23948 | 0.322340 | 0.161170 | − | 0.986927i | \(-0.448473\pi\) | ||||
0.161170 | + | 0.986927i | \(0.448473\pi\) | |||||||
\(102\) | −2.71532 | + | 8.35689i | −0.268857 | + | 0.827455i | ||||
\(103\) | 8.00915 | + | 5.81899i | 0.789165 | + | 0.573362i | 0.907716 | − | 0.419586i | \(-0.137825\pi\) |
−0.118550 | + | 0.992948i | \(0.537825\pi\) | |||||||
\(104\) | −3.61427 | − | 2.62592i | −0.354409 | − | 0.257493i | ||||
\(105\) | −3.60834 | + | 1.84112i | −0.352138 | + | 0.179675i | ||||
\(106\) | −10.2187 | + | 7.42433i | −0.992530 | + | 0.721115i | ||||
\(107\) | 8.66202 | 0.837389 | 0.418695 | − | 0.908127i | \(-0.362488\pi\) | ||||
0.418695 | + | 0.908127i | \(0.362488\pi\) | |||||||
\(108\) | 3.98364 | − | 2.89428i | 0.383326 | − | 0.278503i | ||||
\(109\) | 4.02196 | + | 12.3783i | 0.385234 | + | 1.18563i | 0.936310 | + | 0.351173i | \(0.114217\pi\) |
−0.551076 | + | 0.834455i | \(0.685783\pi\) | |||||||
\(110\) | −8.79861 | + | 4.48940i | −0.838915 | + | 0.428048i | ||||
\(111\) | −2.65123 | + | 8.15965i | −0.251644 | + | 0.774480i | ||||
\(112\) | −0.309017 | − | 0.951057i | −0.0291994 | − | 0.0898664i | ||||
\(113\) | 2.90360 | + | 8.93635i | 0.273147 | + | 0.840662i | 0.989704 | + | 0.143132i | \(0.0457174\pi\) |
−0.716556 | + | 0.697529i | \(0.754283\pi\) | |||||||
\(114\) | 3.47848 | − | 10.7057i | 0.325789 | − | 1.00268i | ||||
\(115\) | 2.09905 | + | 2.09667i | 0.195737 | + | 0.195516i | ||||
\(116\) | −0.203232 | − | 0.625483i | −0.0188696 | − | 0.0580747i | ||||
\(117\) | −1.01909 | + | 0.740411i | −0.0942147 | + | 0.0684510i | ||||
\(118\) | −8.65204 | −0.796485 | ||||||||
\(119\) | −3.92400 | + | 2.85095i | −0.359713 | + | 0.261347i | ||||
\(120\) | −1.83703 | + | 3.61042i | −0.167697 | + | 0.329585i | ||||
\(121\) | −6.88802 | − | 5.00444i | −0.626184 | − | 0.454949i | ||||
\(122\) | 12.5130 | + | 9.09123i | 1.13287 | + | 0.823081i | ||||
\(123\) | 5.98622 | − | 18.4237i | 0.539759 | − | 1.66121i | ||||
\(124\) | 10.3383 | 0.928403 | ||||||||
\(125\) | 11.0397 | − | 1.76776i | 0.987421 | − | 0.158114i | ||||
\(126\) | −0.281962 | −0.0251192 | ||||||||
\(127\) | −2.06971 | + | 6.36990i | −0.183657 | + | 0.565237i | −0.999923 | − | 0.0124390i | \(-0.996040\pi\) |
0.816266 | + | 0.577676i | \(0.196040\pi\) | |||||||
\(128\) | −0.809017 | − | 0.587785i | −0.0715077 | − | 0.0519534i | ||||
\(129\) | −10.2682 | − | 7.46028i | −0.904064 | − | 0.656841i | ||||
\(130\) | −4.53014 | + | 8.90338i | −0.397320 | + | 0.780878i | ||||
\(131\) | 15.0029 | − | 10.9002i | 1.31081 | − | 0.952356i | 0.310808 | − | 0.950473i | \(-0.399400\pi\) |
0.999998 | − | 0.00188352i | \(-0.000599543\pi\) | |||||||
\(132\) | −8.00278 | −0.696552 | ||||||||
\(133\) | 5.02687 | − | 3.65224i | 0.435885 | − | 0.316689i | ||||
\(134\) | 2.39656 | + | 7.37586i | 0.207031 | + | 0.637177i | ||||
\(135\) | −7.79001 | − | 7.78119i | −0.670458 | − | 0.669698i | ||||
\(136\) | −1.49884 | + | 4.61294i | −0.128524 | + | 0.395556i | ||||
\(137\) | 2.34991 | + | 7.23229i | 0.200767 | + | 0.617896i | 0.999861 | + | 0.0166902i | \(0.00531291\pi\) |
−0.799094 | + | 0.601206i | \(0.794687\pi\) | |||||||
\(138\) | 0.742772 | + | 2.28602i | 0.0632290 | + | 0.194599i | ||||
\(139\) | 3.15149 | − | 9.69929i | 0.267306 | − | 0.822683i | −0.723847 | − | 0.689960i | \(-0.757628\pi\) |
0.991153 | − | 0.132723i | \(-0.0423720\pi\) | |||||||
\(140\) | −1.99178 | + | 1.01628i | −0.168336 | + | 0.0858916i | ||||
\(141\) | 2.73114 | + | 8.40559i | 0.230004 | + | 0.707879i | ||||
\(142\) | −5.75958 | + | 4.18458i | −0.483333 | + | 0.351162i | ||||
\(143\) | −19.7350 | −1.65032 | ||||||||
\(144\) | −0.228112 | + | 0.165733i | −0.0190093 | + | 0.0138111i | ||||
\(145\) | −1.30993 | + | 0.668381i | −0.108784 | + | 0.0555060i | ||||
\(146\) | −3.14397 | − | 2.28423i | −0.260197 | − | 0.189044i | ||||
\(147\) | −1.46563 | − | 1.06484i | −0.120883 | − | 0.0878267i | ||||
\(148\) | −1.46346 | + | 4.50407i | −0.120296 | + | 0.370232i | ||||
\(149\) | 8.49844 | 0.696219 | 0.348110 | − | 0.937454i | \(-0.386824\pi\) | ||||
0.348110 | + | 0.937454i | \(0.386824\pi\) | |||||||
\(150\) | 8.61793 | + | 2.78934i | 0.703651 | + | 0.227749i | ||||
\(151\) | 10.9178 | 0.888480 | 0.444240 | − | 0.895908i | \(-0.353474\pi\) | ||||
0.444240 | + | 0.895908i | \(0.353474\pi\) | |||||||
\(152\) | 1.92009 | − | 5.90944i | 0.155740 | − | 0.479319i | ||||
\(153\) | 1.10642 | + | 0.803861i | 0.0894487 | + | 0.0649883i | ||||
\(154\) | −3.57381 | − | 2.59653i | −0.287986 | − | 0.209234i | ||||
\(155\) | −3.62924 | − | 22.8304i | −0.291508 | − | 1.83378i | ||||
\(156\) | −6.54769 | + | 4.75717i | −0.524234 | + | 0.380879i | ||||
\(157\) | −0.499409 | −0.0398572 | −0.0199286 | − | 0.999801i | \(-0.506344\pi\) | ||||
−0.0199286 | + | 0.999801i | \(0.506344\pi\) | |||||||
\(158\) | 0.488238 | − | 0.354726i | 0.0388422 | − | 0.0282205i | ||||
\(159\) | 7.07112 | + | 21.7627i | 0.560776 | + | 1.72589i | ||||
\(160\) | −1.01402 | + | 1.99293i | −0.0801657 | + | 0.157555i | ||||
\(161\) | −0.410005 | + | 1.26186i | −0.0323129 | + | 0.0994489i | ||||
\(162\) | −3.01798 | − | 9.28838i | −0.237115 | − | 0.729764i | ||||
\(163\) | 1.88397 | + | 5.79825i | 0.147564 | + | 0.454154i | 0.997332 | − | 0.0730024i | \(-0.0232581\pi\) |
−0.849768 | + | 0.527157i | \(0.823258\pi\) | |||||||
\(164\) | 3.30435 | − | 10.1697i | 0.258026 | − | 0.794123i | ||||
\(165\) | 2.80937 | + | 17.6728i | 0.218709 | + | 1.37583i | ||||
\(166\) | −0.0991381 | − | 0.305116i | −0.00769461 | − | 0.0236816i | ||||
\(167\) | 2.50914 | − | 1.82300i | 0.194163 | − | 0.141068i | −0.486456 | − | 0.873705i | \(-0.661711\pi\) |
0.680619 | + | 0.732637i | \(0.261711\pi\) | |||||||
\(168\) | −1.81162 | −0.139769 | ||||||||
\(169\) | −5.62951 | + | 4.09008i | −0.433039 | + | 0.314621i | ||||
\(170\) | 10.7131 | + | 1.69057i | 0.821658 | + | 0.129660i | ||||
\(171\) | −1.41739 | − | 1.02979i | −0.108390 | − | 0.0787502i | ||||
\(172\) | −5.66797 | − | 4.11802i | −0.432178 | − | 0.313996i | ||||
\(173\) | −2.39803 | + | 7.38037i | −0.182319 | + | 0.561119i | −0.999892 | − | 0.0147057i | \(-0.995319\pi\) |
0.817573 | + | 0.575825i | \(0.195319\pi\) | |||||||
\(174\) | −1.19145 | −0.0903237 | ||||||||
\(175\) | 2.94351 | + | 4.04175i | 0.222508 | + | 0.305528i | ||||
\(176\) | −4.41747 | −0.332980 | ||||||||
\(177\) | −4.84359 | + | 14.9070i | −0.364067 | + | 1.12048i | ||||
\(178\) | −6.94034 | − | 5.04245i | −0.520201 | − | 0.377948i | ||||
\(179\) | 6.89848 | + | 5.01204i | 0.515616 | + | 0.374617i | 0.814950 | − | 0.579531i | \(-0.196764\pi\) |
−0.299334 | + | 0.954149i | \(0.596764\pi\) | |||||||
\(180\) | 0.446074 | + | 0.445568i | 0.0332484 | + | 0.0332107i | ||||
\(181\) | 4.36811 | − | 3.17361i | 0.324679 | − | 0.235893i | −0.413491 | − | 0.910508i | \(-0.635691\pi\) |
0.738169 | + | 0.674616i | \(0.235691\pi\) | |||||||
\(182\) | −4.46749 | −0.331152 | ||||||||
\(183\) | 22.6688 | − | 16.4698i | 1.67572 | − | 1.21749i | ||||
\(184\) | 0.410005 | + | 1.26186i | 0.0302260 | + | 0.0930259i | ||||
\(185\) | 10.4603 | + | 1.65067i | 0.769053 | + | 0.121359i | ||||
\(186\) | 5.78758 | − | 17.8123i | 0.424366 | − | 1.30606i | ||||
\(187\) | 6.62106 | + | 20.3775i | 0.484180 | + | 1.49015i | ||||
\(188\) | 1.50757 | + | 4.63982i | 0.109951 | + | 0.338394i | ||||
\(189\) | 1.52161 | − | 4.68305i | 0.110681 | − | 0.340642i | ||||
\(190\) | −13.7241 | − | 2.16571i | −0.995652 | − | 0.157117i | ||||
\(191\) | −4.11293 | − | 12.6583i | −0.297601 | − | 0.915922i | −0.982335 | − | 0.187129i | \(-0.940082\pi\) |
0.684734 | − | 0.728793i | \(-0.259918\pi\) | |||||||
\(192\) | −1.46563 | + | 1.06484i | −0.105773 | + | 0.0768484i | ||||
\(193\) | −0.317645 | −0.0228646 | −0.0114323 | − | 0.999935i | \(-0.503639\pi\) | ||||
−0.0114323 | + | 0.999935i | \(0.503639\pi\) | |||||||
\(194\) | −4.26584 | + | 3.09932i | −0.306270 | + | 0.222518i | ||||
\(195\) | 12.8040 | + | 12.7895i | 0.916915 | + | 0.915876i | ||||
\(196\) | −0.809017 | − | 0.587785i | −0.0577869 | − | 0.0419847i | ||||
\(197\) | −2.15378 | − | 1.56481i | −0.153450 | − | 0.111488i | 0.508411 | − | 0.861115i | \(-0.330233\pi\) |
−0.661861 | + | 0.749627i | \(0.730233\pi\) | |||||||
\(198\) | −0.384899 | + | 1.18460i | −0.0273536 | + | 0.0841857i | ||||
\(199\) | −14.2473 | −1.00996 | −0.504981 | − | 0.863130i | \(-0.668501\pi\) | ||||
−0.504981 | + | 0.863130i | \(0.668501\pi\) | |||||||
\(200\) | 4.75703 | + | 1.53969i | 0.336373 | + | 0.108873i | ||||
\(201\) | 14.0499 | 0.991003 | ||||||||
\(202\) | 1.00105 | − | 3.08093i | 0.0704339 | − | 0.216773i | ||||
\(203\) | −0.532068 | − | 0.386570i | −0.0373438 | − | 0.0271319i | ||||
\(204\) | 7.10879 | + | 5.16484i | 0.497715 | + | 0.361611i | ||||
\(205\) | −23.6182 | − | 3.72704i | −1.64957 | − | 0.260308i | ||||
\(206\) | 8.00915 | − | 5.81899i | 0.558024 | − | 0.405428i | ||||
\(207\) | 0.374108 | 0.0260023 | ||||||||
\(208\) | −3.61427 | + | 2.62592i | −0.250605 | + | 0.182075i | ||||
\(209\) | −8.48197 | − | 26.1048i | −0.586710 | − | 1.80571i | ||||
\(210\) | 0.635968 | + | 4.00067i | 0.0438860 | + | 0.276072i | ||||
\(211\) | 0.189643 | − | 0.583661i | 0.0130555 | − | 0.0401808i | −0.944317 | − | 0.329038i | \(-0.893275\pi\) |
0.957372 | + | 0.288858i | \(0.0932754\pi\) | |||||||
\(212\) | 3.90320 | + | 12.0128i | 0.268073 | + | 0.825044i | ||||
\(213\) | 3.98550 | + | 12.2661i | 0.273082 | + | 0.840459i | ||||
\(214\) | 2.67671 | − | 8.23807i | 0.182976 | − | 0.563143i | ||||
\(215\) | −7.10425 | + | 13.9624i | −0.484506 | + | 0.952229i | ||||
\(216\) | −1.52161 | − | 4.68305i | −0.103533 | − | 0.318641i | ||||
\(217\) | 8.36383 | − | 6.07668i | 0.567774 | − | 0.412512i | ||||
\(218\) | 13.0153 | 0.881510 | ||||||||
\(219\) | −5.69568 | + | 4.13815i | −0.384878 | + | 0.279631i | ||||
\(220\) | 1.55075 | + | 9.75528i | 0.104552 | + | 0.657701i | ||||
\(221\) | 17.5304 | + | 12.7366i | 1.17922 | + | 0.856757i | ||||
\(222\) | 6.94101 | + | 5.04294i | 0.465850 | + | 0.338460i | ||||
\(223\) | −5.87680 | + | 18.0869i | −0.393540 | + | 1.21119i | 0.536553 | + | 0.843867i | \(0.319726\pi\) |
−0.930093 | + | 0.367325i | \(0.880274\pi\) | |||||||
\(224\) | −1.00000 | −0.0668153 | ||||||||
\(225\) | 0.827372 | − | 1.14150i | 0.0551582 | − | 0.0760999i | ||||
\(226\) | 9.39624 | 0.625029 | ||||||||
\(227\) | 3.07804 | − | 9.47324i | 0.204297 | − | 0.628761i | −0.795445 | − | 0.606026i | \(-0.792763\pi\) |
0.999742 | − | 0.0227350i | \(-0.00723738\pi\) | |||||||
\(228\) | −9.10678 | − | 6.61646i | −0.603111 | − | 0.438186i | ||||
\(229\) | −9.92258 | − | 7.20918i | −0.655703 | − | 0.476396i | 0.209506 | − | 0.977807i | \(-0.432814\pi\) |
−0.865209 | + | 0.501412i | \(0.832814\pi\) | |||||||
\(230\) | 2.64269 | − | 1.34841i | 0.174254 | − | 0.0889113i | ||||
\(231\) | −6.47438 | + | 4.70391i | −0.425983 | + | 0.309495i | ||||
\(232\) | −0.657672 | −0.0431783 | ||||||||
\(233\) | −0.713296 | + | 0.518240i | −0.0467296 | + | 0.0339510i | −0.610905 | − | 0.791704i | \(-0.709194\pi\) |
0.564175 | + | 0.825655i | \(0.309194\pi\) | |||||||
\(234\) | 0.389257 | + | 1.19801i | 0.0254465 | + | 0.0783164i | ||||
\(235\) | 9.71708 | − | 4.95804i | 0.633872 | − | 0.323427i | ||||
\(236\) | −2.67363 | + | 8.22858i | −0.174038 | + | 0.535635i | ||||
\(237\) | −0.337850 | − | 1.03979i | −0.0219457 | − | 0.0675419i | ||||
\(238\) | 1.49884 | + | 4.61294i | 0.0971551 | + | 0.299013i | ||||
\(239\) | −5.71983 | + | 17.6038i | −0.369985 | + | 1.13870i | 0.576815 | + | 0.816875i | \(0.304295\pi\) |
−0.946800 | + | 0.321822i | \(0.895705\pi\) | |||||||
\(240\) | 2.86604 | + | 2.86280i | 0.185002 | + | 0.184793i | ||||
\(241\) | 7.37119 | + | 22.6862i | 0.474820 | + | 1.46135i | 0.846200 | + | 0.532865i | \(0.178885\pi\) |
−0.371380 | + | 0.928481i | \(0.621115\pi\) | |||||||
\(242\) | −6.88802 | + | 5.00444i | −0.442779 | + | 0.321698i | ||||
\(243\) | −2.92082 | −0.187371 | ||||||||
\(244\) | 12.5130 | − | 9.09123i | 0.801063 | − | 0.582006i | ||||
\(245\) | −1.01402 | + | 1.99293i | −0.0647836 | + | 0.127323i | ||||
\(246\) | −15.6721 | − | 11.3865i | −0.999219 | − | 0.725975i | ||||
\(247\) | −22.4575 | − | 16.3163i | −1.42894 | − | 1.03818i | ||||
\(248\) | 3.19470 | − | 9.83227i | 0.202864 | − | 0.624350i | ||||
\(249\) | −0.581199 | −0.0368320 | ||||||||
\(250\) | 1.73021 | − | 11.0456i | 0.109428 | − | 0.698588i | ||||
\(251\) | −3.26799 | −0.206274 | −0.103137 | − | 0.994667i | \(-0.532888\pi\) | ||||
−0.103137 | + | 0.994667i | \(0.532888\pi\) | |||||||
\(252\) | −0.0871311 | + | 0.268162i | −0.00548874 | + | 0.0168926i | ||||
\(253\) | 4.74174 | + | 3.44508i | 0.298111 | + | 0.216590i | ||||
\(254\) | 5.41856 | + | 3.93682i | 0.339991 | + | 0.247018i | ||||
\(255\) | 8.91018 | − | 17.5117i | 0.557977 | − | 1.09663i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −26.2282 | −1.63607 | −0.818036 | − | 0.575167i | \(-0.804937\pi\) | ||||
−0.818036 | + | 0.575167i | \(0.804937\pi\) | |||||||
\(258\) | −10.2682 | + | 7.46028i | −0.639270 | + | 0.464457i | ||||
\(259\) | 1.46346 | + | 4.50407i | 0.0909350 | + | 0.279869i | ||||
\(260\) | 7.06772 | + | 7.05972i | 0.438322 | + | 0.437825i | ||||
\(261\) | −0.0573037 | + | 0.176363i | −0.00354701 | + | 0.0109166i | ||||
\(262\) | −5.73058 | − | 17.6369i | −0.354037 | − | 1.08961i | ||||
\(263\) | −0.387903 | − | 1.19384i | −0.0239192 | − | 0.0736156i | 0.938384 | − | 0.345593i | \(-0.112322\pi\) |
−0.962304 | + | 0.271978i | \(0.912322\pi\) | |||||||
\(264\) | −2.47299 | + | 7.61109i | −0.152202 | + | 0.468430i | ||||
\(265\) | 25.1582 | − | 12.8367i | 1.54545 | − | 0.788552i | ||||
\(266\) | −1.92009 | − | 5.90944i | −0.117729 | − | 0.362331i | ||||
\(267\) | −12.5733 | + | 9.13500i | −0.769471 | + | 0.559053i | ||||
\(268\) | 7.75543 | 0.473738 | ||||||||
\(269\) | −25.7245 | + | 18.6899i | −1.56845 | + | 1.13955i | −0.639827 | + | 0.768519i | \(0.720994\pi\) |
−0.928622 | + | 0.371026i | \(0.879006\pi\) | |||||||
\(270\) | −9.80760 | + | 5.00422i | −0.596871 | + | 0.304547i | ||||
\(271\) | −5.00136 | − | 3.63370i | −0.303811 | − | 0.220732i | 0.425425 | − | 0.904994i | \(-0.360125\pi\) |
−0.729236 | + | 0.684262i | \(0.760125\pi\) | |||||||
\(272\) | 3.92400 | + | 2.85095i | 0.237928 | + | 0.172864i | ||||
\(273\) | −2.50099 | + | 7.69727i | −0.151367 | + | 0.465860i | ||||
\(274\) | 7.60448 | 0.459403 | ||||||||
\(275\) | 20.9986 | − | 6.84918i | 1.26626 | − | 0.413021i | ||||
\(276\) | 2.40366 | 0.144683 | ||||||||
\(277\) | 2.52523 | − | 7.77186i | 0.151726 | − | 0.466966i | −0.846088 | − | 0.533043i | \(-0.821048\pi\) |
0.997815 | + | 0.0660771i | \(0.0210483\pi\) | |||||||
\(278\) | −8.25071 | − | 5.99449i | −0.494844 | − | 0.359526i | ||||
\(279\) | −2.35828 | − | 1.71339i | −0.141187 | − | 0.102578i | ||||
\(280\) | 0.351050 | + | 2.20834i | 0.0209792 | + | 0.131974i | ||||
\(281\) | 9.61268 | − | 6.98402i | 0.573445 | − | 0.416632i | −0.262910 | − | 0.964820i | \(-0.584682\pi\) |
0.836355 | + | 0.548188i | \(0.184682\pi\) | |||||||
\(282\) | 8.83816 | 0.526305 | ||||||||
\(283\) | −14.5455 | + | 10.5680i | −0.864643 | + | 0.628200i | −0.929144 | − | 0.369718i | \(-0.879454\pi\) |
0.0645014 | + | 0.997918i | \(0.479454\pi\) | |||||||
\(284\) | 2.19997 | + | 6.77080i | 0.130544 | + | 0.401773i | ||||
\(285\) | −11.4145 | + | 22.4336i | −0.676134 | + | 1.32885i | ||||
\(286\) | −6.09845 | + | 18.7691i | −0.360609 | + | 1.10984i | ||||
\(287\) | −3.30435 | − | 10.1697i | −0.195050 | − | 0.600301i | ||||
\(288\) | 0.0871311 | + | 0.268162i | 0.00513425 | + | 0.0158016i | ||||
\(289\) | 2.01656 | − | 6.20633i | 0.118621 | − | 0.365078i | ||||
\(290\) | 0.230876 | + | 1.45236i | 0.0135575 | + | 0.0852857i | ||||
\(291\) | 2.95186 | + | 9.08490i | 0.173041 | + | 0.532566i | ||||
\(292\) | −3.14397 | + | 2.28423i | −0.183987 | + | 0.133674i | ||||
\(293\) | 10.7031 | 0.625282 | 0.312641 | − | 0.949871i | \(-0.398786\pi\) | ||||
0.312641 | + | 0.949871i | \(0.398786\pi\) | |||||||
\(294\) | −1.46563 | + | 1.06484i | −0.0854773 | + | 0.0621029i | ||||
\(295\) | 19.1101 | + | 3.01564i | 1.11263 | + | 0.175577i | ||||
\(296\) | 3.83139 | + | 2.78367i | 0.222695 | + | 0.161797i | ||||
\(297\) | −17.5976 | − | 12.7854i | −1.02112 | − | 0.741885i | ||||
\(298\) | 2.62616 | − | 8.08250i | 0.152129 | − | 0.468206i | ||||
\(299\) | 5.92748 | 0.342795 | ||||||||
\(300\) | 5.31590 | − | 7.33418i | 0.306914 | − | 0.423439i | ||||
\(301\) | −7.00599 | −0.403819 | ||||||||
\(302\) | 3.37379 | − | 10.3835i | 0.194140 | − | 0.597501i | ||||
\(303\) | −4.74788 | − | 3.44954i | −0.272758 | − | 0.198171i | ||||
\(304\) | −5.02687 | − | 3.65224i | −0.288311 | − | 0.209470i | ||||
\(305\) | −24.4692 | − | 24.4415i | −1.40110 | − | 1.39951i | ||||
\(306\) | 1.10642 | − | 0.803861i | 0.0632498 | − | 0.0459537i | ||||
\(307\) | −0.138999 | −0.00793311 | −0.00396656 | − | 0.999992i | \(-0.501263\pi\) | ||||
−0.00396656 | + | 0.999992i | \(0.501263\pi\) | |||||||
\(308\) | −3.57381 | + | 2.59653i | −0.203637 | + | 0.147951i | ||||
\(309\) | −5.54215 | − | 17.0570i | −0.315282 | − | 0.970337i | ||||
\(310\) | −22.8345 | − | 3.60336i | −1.29691 | − | 0.204657i | ||||
\(311\) | 2.42772 | − | 7.47176i | 0.137664 | − | 0.423685i | −0.858331 | − | 0.513096i | \(-0.828499\pi\) |
0.995995 | + | 0.0894111i | \(0.0284985\pi\) | |||||||
\(312\) | 2.50099 | + | 7.69727i | 0.141591 | + | 0.435772i | ||||
\(313\) | −5.33850 | − | 16.4302i | −0.301750 | − | 0.928691i | −0.980870 | − | 0.194664i | \(-0.937638\pi\) |
0.679120 | − | 0.734027i | \(-0.262362\pi\) | |||||||
\(314\) | −0.154326 | + | 0.474966i | −0.00870911 | + | 0.0268039i | ||||
\(315\) | 0.622780 | + | 0.0982769i | 0.0350897 | + | 0.00553727i | ||||
\(316\) | −0.186490 | − | 0.573959i | −0.0104909 | − | 0.0322877i | ||||
\(317\) | 13.4190 | − | 9.74946i | 0.753685 | − | 0.547584i | −0.143282 | − | 0.989682i | \(-0.545766\pi\) |
0.896967 | + | 0.442098i | \(0.145766\pi\) | |||||||
\(318\) | 22.8826 | 1.28319 | ||||||||
\(319\) | −2.35039 | + | 1.70766i | −0.131597 | + | 0.0956107i | ||||
\(320\) | 1.58203 | + | 1.58024i | 0.0884384 | + | 0.0883382i | ||||
\(321\) | −12.6953 | − | 9.22369i | −0.708584 | − | 0.514816i | ||||
\(322\) | 1.07341 | + | 0.779875i | 0.0598186 | + | 0.0434608i | ||||
\(323\) | −9.31310 | + | 28.6628i | −0.518195 | + | 1.59484i | ||||
\(324\) | −9.76638 | −0.542577 | ||||||||
\(325\) | 13.1091 | − | 18.0862i | 0.727164 | − | 1.00324i | ||||
\(326\) | 6.09665 | 0.337662 | ||||||||
\(327\) | 7.28626 | − | 22.4248i | 0.402931 | − | 1.24009i | ||||
\(328\) | −8.65090 | − | 6.28525i | −0.477666 | − | 0.347045i | ||||
\(329\) | 3.94687 | + | 2.86757i | 0.217598 | + | 0.158094i | ||||
\(330\) | 17.6760 | + | 2.78934i | 0.973033 | + | 0.153548i | ||||
\(331\) | −26.4274 | + | 19.2006i | −1.45258 | + | 1.05536i | −0.467358 | + | 0.884068i | \(0.654794\pi\) |
−0.985220 | + | 0.171292i | \(0.945206\pi\) | |||||||
\(332\) | −0.320818 | −0.0176071 | ||||||||
\(333\) | 1.08031 | − | 0.784888i | 0.0592004 | − | 0.0430116i | ||||
\(334\) | −0.958405 | − | 2.94967i | −0.0524416 | − | 0.161399i | ||||
\(335\) | −2.72254 | − | 17.1266i | −0.148748 | − | 0.935728i | ||||
\(336\) | −0.559821 | + | 1.72295i | −0.0305407 | + | 0.0939947i | ||||
\(337\) | −6.04992 | − | 18.6198i | −0.329560 | − | 1.01428i | −0.969340 | − | 0.245724i | \(-0.920974\pi\) |
0.639780 | − | 0.768559i | \(-0.279026\pi\) | |||||||
\(338\) | 2.15028 | + | 6.61788i | 0.116960 | + | 0.359965i | ||||
\(339\) | 5.26021 | − | 16.1893i | 0.285695 | − | 0.879280i | ||||
\(340\) | 4.91835 | − | 9.66635i | 0.266735 | − | 0.524232i | ||||
\(341\) | −14.1125 | − | 43.4338i | −0.764234 | − | 2.35207i | ||||
\(342\) | −1.41739 | + | 1.02979i | −0.0766436 | + | 0.0556848i | ||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | −5.66797 | + | 4.11802i | −0.305596 | + | 0.222029i | ||||
\(345\) | −0.843805 | − | 5.30810i | −0.0454289 | − | 0.285779i | ||||
\(346\) | 6.27811 | + | 4.56132i | 0.337514 | + | 0.245218i | ||||
\(347\) | 19.6148 | + | 14.2510i | 1.05298 | + | 0.765034i | 0.972777 | − | 0.231745i | \(-0.0744434\pi\) |
0.0802021 | + | 0.996779i | \(0.474443\pi\) | |||||||
\(348\) | −0.368179 | + | 1.13314i | −0.0197364 | + | 0.0607425i | ||||
\(349\) | 3.52016 | 0.188430 | 0.0942149 | − | 0.995552i | \(-0.469966\pi\) | ||||
0.0942149 | + | 0.995552i | \(0.469966\pi\) | |||||||
\(350\) | 4.75353 | − | 1.55047i | 0.254087 | − | 0.0828763i | ||||
\(351\) | −21.9981 | −1.17417 | ||||||||
\(352\) | −1.36507 | + | 4.20127i | −0.0727587 | + | 0.223928i | ||||
\(353\) | −3.45290 | − | 2.50868i | −0.183779 | − | 0.133524i | 0.492092 | − | 0.870543i | \(-0.336232\pi\) |
−0.675871 | + | 0.737020i | \(0.736232\pi\) | |||||||
\(354\) | 12.6807 | + | 9.21306i | 0.673971 | + | 0.489669i | ||||
\(355\) | 14.1799 | − | 7.23516i | 0.752592 | − | 0.384002i | ||||
\(356\) | −6.94034 | + | 5.04245i | −0.367837 | + | 0.267250i | ||||
\(357\) | 8.78695 | 0.465055 | ||||||||
\(358\) | 6.89848 | − | 5.01204i | 0.364596 | − | 0.264894i | ||||
\(359\) | 7.70781 | + | 23.7222i | 0.406803 | + | 1.25201i | 0.919381 | + | 0.393369i | \(0.128691\pi\) |
−0.512578 | + | 0.858641i | \(0.671309\pi\) | |||||||
\(360\) | 0.561605 | − | 0.286553i | 0.0295992 | − | 0.0151027i | ||||
\(361\) | 6.05930 | − | 18.6486i | 0.318910 | − | 0.981505i | ||||
\(362\) | −1.66847 | − | 5.13502i | −0.0876927 | − | 0.269890i | ||||
\(363\) | 4.76635 | + | 14.6693i | 0.250168 | + | 0.769939i | ||||
\(364\) | −1.38053 | + | 4.24883i | −0.0723594 | + | 0.222699i | ||||
\(365\) | 6.14805 | + | 6.14108i | 0.321803 | + | 0.321439i | ||||
\(366\) | −8.65870 | − | 26.6488i | −0.452598 | − | 1.39295i | ||||
\(367\) | −4.97568 | + | 3.61505i | −0.259729 | + | 0.188704i | −0.710027 | − | 0.704174i | \(-0.751317\pi\) |
0.450299 | + | 0.892878i | \(0.351317\pi\) | |||||||
\(368\) | 1.32680 | 0.0691644 | ||||||||
\(369\) | −2.43923 | + | 1.77220i | −0.126981 | + | 0.0922571i | ||||
\(370\) | 4.80227 | − | 9.43821i | 0.249658 | − | 0.490669i | ||||
\(371\) | 10.2187 | + | 7.42433i | 0.530529 | + | 0.385452i | ||||
\(372\) | −15.1521 | − | 11.0086i | −0.785598 | − | 0.570770i | ||||
\(373\) | −8.33826 | + | 25.6625i | −0.431739 | + | 1.32876i | 0.464653 | + | 0.885493i | \(0.346179\pi\) |
−0.896392 | + | 0.443263i | \(0.853821\pi\) | |||||||
\(374\) | 21.4262 | 1.10792 | ||||||||
\(375\) | −18.0625 | − | 9.16466i | −0.932744 | − | 0.473261i | ||||
\(376\) | 4.87860 | 0.251595 | ||||||||
\(377\) | −0.907936 | + | 2.79434i | −0.0467611 | + | 0.143916i | ||||
\(378\) | −3.98364 | − | 2.89428i | −0.204896 | − | 0.148866i | ||||
\(379\) | −14.2440 | − | 10.3489i | −0.731665 | − | 0.531585i | 0.158425 | − | 0.987371i | \(-0.449358\pi\) |
−0.890090 | + | 0.455786i | \(0.849358\pi\) | |||||||
\(380\) | −6.30070 | + | 12.3832i | −0.323219 | + | 0.635243i | ||||
\(381\) | 9.81637 | − | 7.13201i | 0.502908 | − | 0.365384i | ||||
\(382\) | −13.3097 | −0.680984 | ||||||||
\(383\) | 29.1723 | − | 21.1949i | 1.49063 | − | 1.08301i | 0.516702 | − | 0.856166i | \(-0.327160\pi\) |
0.973931 | − | 0.226843i | \(-0.0728403\pi\) | |||||||
\(384\) | 0.559821 | + | 1.72295i | 0.0285682 | + | 0.0879240i | ||||
\(385\) | 6.98859 | + | 6.98068i | 0.356172 | + | 0.355768i | ||||
\(386\) | −0.0981576 | + | 0.302098i | −0.00499609 | + | 0.0153764i | ||||
\(387\) | 0.610440 | + | 1.87874i | 0.0310304 | + | 0.0955017i | ||||
\(388\) | 1.62941 | + | 5.01480i | 0.0827206 | + | 0.254588i | ||||
\(389\) | −4.16549 | + | 12.8201i | −0.211199 | + | 0.650004i | 0.788203 | + | 0.615416i | \(0.211012\pi\) |
−0.999402 | + | 0.0345878i | \(0.988988\pi\) | |||||||
\(390\) | 16.1202 | − | 8.22517i | 0.816278 | − | 0.416498i | ||||
\(391\) | −1.98866 | − | 6.12046i | −0.100571 | − | 0.309525i | ||||
\(392\) | −0.809017 | + | 0.587785i | −0.0408615 | + | 0.0296876i | ||||
\(393\) | −33.5957 | −1.69468 | ||||||||
\(394\) | −2.15378 | + | 1.56481i | −0.108506 | + | 0.0788340i | ||||
\(395\) | −1.20203 | + | 0.613322i | −0.0604806 | + | 0.0308596i | ||||
\(396\) | 1.00768 | + | 0.732122i | 0.0506378 | + | 0.0367905i | ||||
\(397\) | −15.2957 | − | 11.1130i | −0.767672 | − | 0.557746i | 0.133582 | − | 0.991038i | \(-0.457352\pi\) |
−0.901254 | + | 0.433292i | \(0.857352\pi\) | |||||||
\(398\) | −4.40265 | + | 13.5500i | −0.220685 | + | 0.679198i | ||||
\(399\) | −11.2566 | −0.563535 | ||||||||
\(400\) | 2.93434 | − | 4.04841i | 0.146717 | − | 0.202421i | ||||
\(401\) | 16.5774 | 0.827837 | 0.413918 | − | 0.910314i | \(-0.364160\pi\) | ||||
0.413918 | + | 0.910314i | \(0.364160\pi\) | |||||||
\(402\) | 4.34165 | − | 13.3622i | 0.216542 | − | 0.666448i | ||||
\(403\) | −37.3653 | − | 27.1475i | −1.86130 | − | 1.35231i | ||||
\(404\) | −2.62079 | − | 1.90412i | −0.130389 | − | 0.0947334i | ||||
\(405\) | 3.42849 | + | 21.5675i | 0.170363 | + | 1.07170i | ||||
\(406\) | −0.532068 | + | 0.386570i | −0.0264061 | + | 0.0191851i | ||||
\(407\) | 20.9205 | 1.03699 | ||||||||
\(408\) | 7.10879 | − | 5.16484i | 0.351938 | − | 0.255698i | ||||
\(409\) | 9.32229 | + | 28.6910i | 0.460957 | + | 1.41868i | 0.863996 | + | 0.503498i | \(0.167954\pi\) |
−0.403039 | + | 0.915183i | \(0.632046\pi\) | |||||||
\(410\) | −10.8431 | + | 21.3106i | −0.535501 | + | 1.05245i | ||||
\(411\) | 4.25715 | − | 13.1022i | 0.209990 | − | 0.646282i | ||||
\(412\) | −3.05922 | − | 9.41532i | −0.150717 | − | 0.463860i | ||||
\(413\) | 2.67363 | + | 8.22858i | 0.131561 | + | 0.404902i | ||||
\(414\) | 0.115606 | − | 0.355798i | 0.00568172 | − | 0.0174865i | ||||
\(415\) | 0.112623 | + | 0.708474i | 0.00552844 | + | 0.0347776i | ||||
\(416\) | 1.38053 | + | 4.24883i | 0.0676860 | + | 0.208316i | ||||
\(417\) | −14.9471 | + | 10.8597i | −0.731964 | + | 0.531803i | ||||
\(418\) | −27.4482 | −1.34254 | ||||||||
\(419\) | 0.636540 | − | 0.462474i | 0.0310970 | − | 0.0225933i | −0.572128 | − | 0.820164i | \(-0.693882\pi\) |
0.603225 | + | 0.797571i | \(0.293882\pi\) | |||||||
\(420\) | 4.00139 | + | 0.631433i | 0.195248 | + | 0.0308108i | ||||
\(421\) | 12.1996 | + | 8.86355i | 0.594573 | + | 0.431983i | 0.843949 | − | 0.536424i | \(-0.180225\pi\) |
−0.249375 | + | 0.968407i | \(0.580225\pi\) | |||||||
\(422\) | −0.496491 | − | 0.360722i | −0.0241688 | − | 0.0175597i | ||||
\(423\) | 0.425078 | − | 1.30825i | 0.0206680 | − | 0.0636095i | ||||
\(424\) | 12.6310 | 0.613417 | ||||||||
\(425\) | −23.0732 | − | 7.46803i | −1.11921 | − | 0.362253i | ||||
\(426\) | 12.8973 | 0.624878 | ||||||||
\(427\) | 4.77954 | − | 14.7099i | 0.231298 | − | 0.711863i | ||||
\(428\) | −7.00772 | − | 5.09141i | −0.338731 | − | 0.246103i | ||||
\(429\) | 28.9242 | + | 21.0147i | 1.39647 | + | 1.01460i | ||||
\(430\) | 11.0837 | + | 11.0712i | 0.534504 | + | 0.533899i | ||||
\(431\) | 31.2027 | − | 22.6701i | 1.50298 | − | 1.09198i | 0.533805 | − | 0.845608i | \(-0.320762\pi\) |
0.969175 | − | 0.246371i | \(-0.0792383\pi\) | |||||||
\(432\) | −4.92405 | −0.236908 | ||||||||
\(433\) | 31.4982 | − | 22.8848i | 1.51371 | − | 1.09977i | 0.549207 | − | 0.835686i | \(-0.314930\pi\) |
0.964499 | − | 0.264086i | \(-0.0850702\pi\) | |||||||
\(434\) | −3.19470 | − | 9.83227i | −0.153350 | − | 0.471964i | ||||
\(435\) | 2.63160 | + | 0.415276i | 0.126176 | + | 0.0199110i | ||||
\(436\) | 4.02196 | − | 12.3783i | 0.192617 | − | 0.592814i | ||||
\(437\) | 2.54759 | + | 7.84067i | 0.121868 | + | 0.375070i | ||||
\(438\) | 2.17556 | + | 6.69567i | 0.103952 | + | 0.319932i | ||||
\(439\) | −8.50293 | + | 26.1693i | −0.405823 | + | 1.24899i | 0.514384 | + | 0.857560i | \(0.328021\pi\) |
−0.920206 | + | 0.391434i | \(0.871979\pi\) | |||||||
\(440\) | 9.75703 | + | 1.53969i | 0.465148 | + | 0.0734020i | ||||
\(441\) | 0.0871311 | + | 0.268162i | 0.00414910 | + | 0.0127696i | ||||
\(442\) | 17.5304 | − | 12.7366i | 0.833838 | − | 0.605818i | ||||
\(443\) | −30.3177 | −1.44044 | −0.720220 | − | 0.693746i | \(-0.755959\pi\) | ||||
−0.720220 | + | 0.693746i | \(0.755959\pi\) | |||||||
\(444\) | 6.94101 | − | 5.04294i | 0.329406 | − | 0.239327i | ||||
\(445\) | 13.5719 | + | 13.5565i | 0.643368 | + | 0.642639i | ||||
\(446\) | 15.3857 | + | 11.1783i | 0.728533 | + | 0.529310i | ||||
\(447\) | −12.4556 | − | 9.04950i | −0.589128 | − | 0.428027i | ||||
\(448\) | −0.309017 | + | 0.951057i | −0.0145997 | + | 0.0449332i | ||||
\(449\) | −5.84521 | −0.275853 | −0.137926 | − | 0.990442i | \(-0.544044\pi\) | ||||
−0.137926 | + | 0.990442i | \(0.544044\pi\) | |||||||
\(450\) | −0.829958 | − | 1.13962i | −0.0391246 | − | 0.0537222i | ||||
\(451\) | −47.2365 | −2.22428 | ||||||||
\(452\) | 2.90360 | − | 8.93635i | 0.136574 | − | 0.420331i | ||||
\(453\) | −16.0015 | − | 11.6258i | −0.751816 | − | 0.546226i | ||||
\(454\) | −8.05842 | − | 5.85479i | −0.378200 | − | 0.274779i | ||||
\(455\) | 9.86750 | + | 1.55713i | 0.462596 | + | 0.0729992i | ||||
\(456\) | −9.10678 | + | 6.61646i | −0.426464 | + | 0.309844i | ||||
\(457\) | −15.7534 | −0.736912 | −0.368456 | − | 0.929645i | \(-0.620113\pi\) | ||||
−0.368456 | + | 0.929645i | \(0.620113\pi\) | |||||||
\(458\) | −9.92258 | + | 7.20918i | −0.463652 | + | 0.336863i | ||||
\(459\) | 7.38034 | + | 22.7143i | 0.344485 | + | 1.06021i | ||||
\(460\) | −0.465774 | − | 2.93003i | −0.0217168 | − | 0.136613i | ||||
\(461\) | −6.33237 | + | 19.4890i | −0.294928 | + | 0.907695i | 0.688318 | + | 0.725409i | \(0.258350\pi\) |
−0.983246 | + | 0.182286i | \(0.941650\pi\) | |||||||
\(462\) | 2.47299 | + | 7.61109i | 0.115054 | + | 0.354100i | ||||
\(463\) | 6.67794 | + | 20.5526i | 0.310350 | + | 0.955160i | 0.977626 | + | 0.210350i | \(0.0674602\pi\) |
−0.667276 | + | 0.744811i | \(0.732540\pi\) | |||||||
\(464\) | −0.203232 | + | 0.625483i | −0.00943480 | + | 0.0290373i | ||||
\(465\) | −18.9916 | + | 37.3255i | −0.880717 | + | 1.73093i | ||||
\(466\) | 0.272455 | + | 0.838530i | 0.0126212 | + | 0.0388441i | ||||
\(467\) | 5.06579 | − | 3.68051i | 0.234417 | − | 0.170314i | −0.464375 | − | 0.885638i | \(-0.653721\pi\) |
0.698792 | + | 0.715325i | \(0.253721\pi\) | |||||||
\(468\) | 1.25966 | 0.0582279 | ||||||||
\(469\) | 6.27428 | − | 4.55853i | 0.289719 | − | 0.210493i | ||||
\(470\) | −1.71263 | − | 10.7736i | −0.0789978 | − | 0.496949i | ||||
\(471\) | 0.731949 | + | 0.531792i | 0.0337264 | + | 0.0245037i | ||||
\(472\) | 6.99965 | + | 5.08554i | 0.322185 | + | 0.234081i | ||||
\(473\) | −9.56370 | + | 29.4340i | −0.439739 | + | 1.35338i | ||||
\(474\) | −1.09330 | −0.0502171 | ||||||||
\(475\) | 29.5581 | + | 9.56698i | 1.35622 | + | 0.438963i | ||||
\(476\) | 4.85033 | 0.222315 | ||||||||
\(477\) | 1.10056 | − | 3.38716i | 0.0503910 | − | 0.155087i | ||||
\(478\) | 14.9747 | + | 10.8798i | 0.684927 | + | 0.497629i | ||||
\(479\) | 10.3531 | + | 7.52197i | 0.473046 | + | 0.343688i | 0.798627 | − | 0.601826i | \(-0.205560\pi\) |
−0.325582 | + | 0.945514i | \(0.605560\pi\) | |||||||
\(480\) | 3.60834 | − | 1.84112i | 0.164697 | − | 0.0840351i | ||||
\(481\) | 17.1167 | − | 12.4360i | 0.780454 | − | 0.567033i | ||||
\(482\) | 23.8537 | 1.08650 | ||||||||
\(483\) | 1.94460 | − | 1.41284i | 0.0884825 | − | 0.0642863i | ||||
\(484\) | 2.63099 | + | 8.09735i | 0.119590 | + | 0.368062i | ||||
\(485\) | 10.5024 | − | 5.35873i | 0.476888 | − | 0.243327i | ||||
\(486\) | −0.902582 | + | 2.77786i | −0.0409420 | + | 0.126006i | ||||
\(487\) | 4.16204 | + | 12.8094i | 0.188600 | + | 0.580451i | 0.999992 | − | 0.00405176i | \(-0.00128972\pi\) |
−0.811392 | + | 0.584502i | \(0.801290\pi\) | |||||||
\(488\) | −4.77954 | − | 14.7099i | −0.216360 | − | 0.665886i | ||||
\(489\) | 3.41303 | − | 10.5042i | 0.154343 | − | 0.475018i | ||||
\(490\) | 1.58203 | + | 1.58024i | 0.0714690 | + | 0.0713881i | ||||
\(491\) | 4.67945 | + | 14.4019i | 0.211181 | + | 0.649947i | 0.999403 | + | 0.0345564i | \(0.0110018\pi\) |
−0.788222 | + | 0.615391i | \(0.788998\pi\) | |||||||
\(492\) | −15.6721 | + | 11.3865i | −0.706554 | + | 0.513342i | ||||
\(493\) | 3.18993 | 0.143667 | ||||||||
\(494\) | −22.4575 | + | 16.3163i | −1.01041 | + | 0.734106i | ||||
\(495\) | 1.26303 | − | 2.48231i | 0.0567689 | − | 0.111571i | ||||
\(496\) | −8.36383 | − | 6.07668i | −0.375547 | − | 0.272851i | ||||
\(497\) | 5.75958 | + | 4.18458i | 0.258353 | + | 0.187704i | ||||
\(498\) | −0.179600 | + | 0.552753i | −0.00804809 | + | 0.0247695i | ||||
\(499\) | 37.6839 | 1.68696 | 0.843481 | − | 0.537160i | \(-0.180503\pi\) | ||||
0.843481 | + | 0.537160i | \(0.180503\pi\) | |||||||
\(500\) | −9.97037 | − | 5.05882i | −0.445889 | − | 0.226237i | ||||
\(501\) | −5.61867 | −0.251024 | ||||||||
\(502\) | −1.00987 | + | 3.10805i | −0.0450725 | + | 0.138719i | ||||
\(503\) | −19.3076 | − | 14.0278i | −0.860884 | − | 0.625469i | 0.0672412 | − | 0.997737i | \(-0.478580\pi\) |
−0.928125 | + | 0.372268i | \(0.878580\pi\) | |||||||
\(504\) | 0.228112 | + | 0.165733i | 0.0101609 | + | 0.00738234i | ||||
\(505\) | −3.28491 | + | 6.45604i | −0.146177 | + | 0.287290i | ||||
\(506\) | 4.74174 | − | 3.44508i | 0.210796 | − | 0.153152i | ||||
\(507\) | 12.6061 | 0.559855 | ||||||||
\(508\) | 5.41856 | − | 3.93682i | 0.240410 | − | 0.174668i | ||||
\(509\) | −0.255827 | − | 0.787353i | −0.0113393 | − | 0.0348988i | 0.945227 | − | 0.326414i | \(-0.105840\pi\) |
−0.956566 | + | 0.291516i | \(0.905840\pi\) | |||||||
\(510\) | −13.9013 | − | 13.8855i | −0.615558 | − | 0.614861i | ||||
\(511\) | −1.20089 | + | 3.69596i | −0.0531243 | + | 0.163500i | ||||
\(512\) | 0.309017 | + | 0.951057i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | −9.45464 | − | 29.0984i | −0.417433 | − | 1.28473i | ||||
\(514\) | −8.10497 | + | 24.9445i | −0.357495 | + | 1.10026i | ||||
\(515\) | −19.7183 | + | 10.0611i | −0.868892 | + | 0.443343i | ||||
\(516\) | 3.92210 | + | 12.0710i | 0.172661 | + | 0.531395i | ||||
\(517\) | 17.4352 | − | 12.6674i | 0.766799 | − | 0.557112i | ||||
\(518\) | 4.73586 | 0.208082 | ||||||||
\(519\) | 11.3735 | − | 8.26337i | 0.499243 | − | 0.362722i | ||||
\(520\) | 8.89823 | − | 4.54023i | 0.390213 | − | 0.199102i | ||||
\(521\) | 22.0096 | + | 15.9909i | 0.964257 | + | 0.700574i | 0.954136 | − | 0.299375i | \(-0.0967782\pi\) |
0.0101215 | + | 0.999949i | \(0.496778\pi\) | |||||||
\(522\) | 0.150023 | + | 0.108998i | 0.00656633 | + | 0.00477071i | ||||
\(523\) | 2.92049 | − | 8.98834i | 0.127704 | − | 0.393033i | −0.866680 | − | 0.498864i | \(-0.833751\pi\) |
0.994384 | + | 0.105832i | \(0.0337505\pi\) | |||||||
\(524\) | −18.5446 | −0.810123 | ||||||||
\(525\) | −0.0102670 | − | 9.05809i | −0.000448090 | − | 0.395327i | ||||
\(526\) | −1.25528 | −0.0547329 | ||||||||
\(527\) | −15.4953 | + | 47.6898i | −0.674988 | + | 2.07740i | ||||
\(528\) | 6.47438 | + | 4.70391i | 0.281761 | + | 0.204712i | ||||
\(529\) | 17.1832 | + | 12.4843i | 0.747095 | + | 0.542796i | ||||
\(530\) | −4.43412 | − | 27.8936i | −0.192606 | − | 1.21162i | ||||
\(531\) | 1.97364 | − | 1.43393i | 0.0856485 | − | 0.0622273i | ||||
\(532\) | −6.21356 | −0.269392 | ||||||||
\(533\) | −38.6478 | + | 28.0793i | −1.67402 | + | 1.21625i | ||||
\(534\) | 4.80256 | + | 14.7807i | 0.207827 | + | 0.639625i | ||||
\(535\) | −8.78350 | + | 17.2628i | −0.379744 | + | 0.746335i | ||||
\(536\) | 2.39656 | − | 7.37586i | 0.103516 | − | 0.318588i | ||||
\(537\) | −4.77359 | − | 14.6916i | −0.205995 | − | 0.633989i | ||||
\(538\) | 9.82588 | + | 30.2409i | 0.423624 | + | 1.30378i | ||||
\(539\) | −1.36507 | + | 4.20127i | −0.0587979 | + | 0.180961i | ||||
\(540\) | 1.72859 | + | 10.8740i | 0.0743865 | + | 0.467941i | ||||
\(541\) | 8.58974 | + | 26.4365i | 0.369302 | + | 1.13659i | 0.947243 | + | 0.320516i | \(0.103856\pi\) |
−0.577941 | + | 0.816078i | \(0.696144\pi\) | |||||||
\(542\) | −5.00136 | + | 3.63370i | −0.214827 | + | 0.156081i | ||||
\(543\) | −9.78143 | −0.419761 | ||||||||
\(544\) | 3.92400 | − | 2.85095i | 0.168240 | − | 0.122234i | ||||
\(545\) | −28.7474 | − | 4.53645i | −1.23141 | − | 0.194320i | ||||
\(546\) | 6.54769 | + | 4.75717i | 0.280215 | + | 0.203588i | ||||
\(547\) | 10.6834 | + | 7.76195i | 0.456790 | + | 0.331877i | 0.792271 | − | 0.610170i | \(-0.208899\pi\) |
−0.335481 | + | 0.942047i | \(0.608899\pi\) | |||||||
\(548\) | 2.34991 | − | 7.23229i | 0.100383 | − | 0.308948i | ||||
\(549\) | −4.36108 | −0.186127 | ||||||||
\(550\) | −0.0250352 | − | 22.0873i | −0.00106751 | − | 0.941808i | ||||
\(551\) | −4.08648 | −0.174090 | ||||||||
\(552\) | 0.742772 | − | 2.28602i | 0.0316145 | − | 0.0972994i | ||||
\(553\) | −0.488238 | − | 0.354726i | −0.0207620 | − | 0.0150845i | ||||
\(554\) | −6.61114 | − | 4.80328i | −0.280881 | − | 0.204072i | ||||
\(555\) | −13.5732 | − | 13.5578i | −0.576149 | − | 0.575496i | ||||
\(556\) | −8.25071 | + | 5.99449i | −0.349908 | + | 0.254223i | ||||
\(557\) | −38.2589 | −1.62108 | −0.810541 | − | 0.585681i | \(-0.800827\pi\) | ||||
−0.810541 | + | 0.585681i | \(0.800827\pi\) | |||||||
\(558\) | −2.35828 | + | 1.71339i | −0.0998341 | + | 0.0725337i | ||||
\(559\) | 9.67198 | + | 29.7673i | 0.409081 | + | 1.25902i | ||||
\(560\) | 2.20874 | + | 0.348546i | 0.0933361 | + | 0.0147288i | ||||
\(561\) | 11.9948 | − | 36.9163i | 0.506423 | − | 1.55861i | ||||
\(562\) | −3.67172 | − | 11.3004i | −0.154882 | − | 0.476678i | ||||
\(563\) | 4.03266 | + | 12.4112i | 0.169956 | + | 0.523072i | 0.999367 | − | 0.0355672i | \(-0.0113238\pi\) |
−0.829411 | + | 0.558639i | \(0.811324\pi\) | |||||||
\(564\) | 2.73114 | − | 8.40559i | 0.115002 | − | 0.353939i | ||||
\(565\) | −20.7538 | − | 3.27503i | −0.873119 | − | 0.137781i | ||||
\(566\) | 5.55590 | + | 17.0993i | 0.233532 | + | 0.718738i | ||||
\(567\) | −7.90117 | + | 5.74054i | −0.331818 | + | 0.241080i | ||||
\(568\) | 7.11924 | 0.298717 | ||||||||
\(569\) | 4.13414 | − | 3.00363i | 0.173312 | − | 0.125919i | −0.497748 | − | 0.867322i | \(-0.665839\pi\) |
0.671060 | + | 0.741403i | \(0.265839\pi\) | |||||||
\(570\) | 17.8083 | + | 17.7882i | 0.745909 | + | 0.745064i | ||||
\(571\) | −8.67931 | − | 6.30589i | −0.363218 | − | 0.263893i | 0.391175 | − | 0.920316i | \(-0.372069\pi\) |
−0.754393 | + | 0.656423i | \(0.772069\pi\) | |||||||
\(572\) | 15.9660 | + | 11.5999i | 0.667570 | + | 0.485018i | ||||
\(573\) | −7.45106 | + | 22.9320i | −0.311272 | + | 0.957998i | ||||
\(574\) | −10.6931 | −0.446321 | ||||||||
\(575\) | −6.30700 | + | 2.05717i | −0.263020 | + | 0.0857901i | ||||
\(576\) | 0.281962 | 0.0117484 | ||||||||
\(577\) | 10.4145 | − | 32.0525i | 0.433561 | − | 1.33436i | −0.460993 | − | 0.887404i | \(-0.652507\pi\) |
0.894554 | − | 0.446960i | \(-0.147493\pi\) | |||||||
\(578\) | −5.27942 | − | 3.83572i | −0.219595 | − | 0.159545i | ||||
\(579\) | 0.465550 | + | 0.338242i | 0.0193476 | + | 0.0140568i | ||||
\(580\) | 1.45262 | + | 0.229229i | 0.0603169 | + | 0.00951822i | ||||
\(581\) | −0.259547 | + | 0.188572i | −0.0107678 | + | 0.00782328i | ||||
\(582\) | 9.55243 | 0.395961 | ||||||||
\(583\) | 45.1409 | − | 32.7968i | 1.86955 | − | 1.35830i | ||||
\(584\) | 1.20089 | + | 3.69596i | 0.0496932 | + | 0.152940i | ||||
\(585\) | −0.442204 | − | 2.78176i | −0.0182829 | − | 0.115012i | ||||
\(586\) | 3.30744 | − | 10.1793i | 0.136629 | − | 0.420501i | ||||
\(587\) | −1.25751 | − | 3.87023i | −0.0519031 | − | 0.159741i | 0.921745 | − | 0.387796i | \(-0.126764\pi\) |
−0.973648 | + | 0.228055i | \(0.926764\pi\) | |||||||
\(588\) | 0.559821 | + | 1.72295i | 0.0230866 | + | 0.0710533i | ||||
\(589\) | 19.8504 | − | 61.0934i | 0.817923 | − | 2.51731i | ||||
\(590\) | 8.77338 | − | 17.2429i | 0.361194 | − | 0.709878i | ||||
\(591\) | 1.49036 | + | 4.58686i | 0.0613053 | + | 0.188678i | ||||
\(592\) | 3.83139 | − | 2.78367i | 0.157469 | − | 0.114408i | ||||
\(593\) | −11.2865 | −0.463481 | −0.231741 | − | 0.972778i | \(-0.574442\pi\) | ||||
−0.231741 | + | 0.972778i | \(0.574442\pi\) | |||||||
\(594\) | −17.5976 | + | 12.7854i | −0.722039 | + | 0.524592i | ||||
\(595\) | −1.70271 | − | 10.7112i | −0.0698042 | − | 0.439116i | ||||
\(596\) | −6.87538 | − | 4.99526i | −0.281627 | − | 0.204614i | ||||
\(597\) | 20.8812 | + | 15.1711i | 0.854612 | + | 0.620912i | ||||
\(598\) | 1.83169 | − | 5.63737i | 0.0749034 | − | 0.230529i | ||||
\(599\) | 32.5873 | 1.33148 | 0.665740 | − | 0.746184i | \(-0.268116\pi\) | ||||
0.665740 | + | 0.746184i | \(0.268116\pi\) | |||||||
\(600\) | −5.33252 | − | 7.32211i | −0.217699 | − | 0.298924i | ||||
\(601\) | −39.1495 | −1.59694 | −0.798470 | − | 0.602035i | \(-0.794357\pi\) | ||||
−0.798470 | + | 0.602035i | \(0.794357\pi\) | |||||||
\(602\) | −2.16497 | + | 6.66309i | −0.0882376 | + | 0.271567i | ||||
\(603\) | −1.76911 | − | 1.28533i | −0.0720437 | − | 0.0523428i | ||||
\(604\) | −8.83270 | − | 6.41733i | −0.359398 | − | 0.261118i | ||||
\(605\) | 16.9581 | − | 8.65269i | 0.689445 | − | 0.351782i | ||||
\(606\) | −4.74788 | + | 3.44954i | −0.192869 | + | 0.140128i | ||||
\(607\) | 5.40502 | 0.219383 | 0.109691 | − | 0.993966i | \(-0.465014\pi\) | ||||
0.109691 | + | 0.993966i | \(0.465014\pi\) | |||||||
\(608\) | −5.02687 | + | 3.65224i | −0.203867 | + | 0.148118i | ||||
\(609\) | 0.368179 | + | 1.13314i | 0.0149193 | + | 0.0459170i | ||||
\(610\) | −30.8066 | + | 15.7188i | −1.24732 | + | 0.636434i | ||||
\(611\) | 6.73505 | − | 20.7284i | 0.272471 | − | 0.838580i | ||||
\(612\) | −0.422615 | − | 1.30067i | −0.0170832 | − | 0.0525766i | ||||
\(613\) | −6.68755 | − | 20.5822i | −0.270108 | − | 0.831306i | −0.990472 | − | 0.137711i | \(-0.956026\pi\) |
0.720365 | − | 0.693595i | \(-0.243974\pi\) | |||||||
\(614\) | −0.0429532 | + | 0.132196i | −0.00173345 | + | 0.00533501i | ||||
\(615\) | 30.6469 | + | 30.6122i | 1.23580 | + | 1.23440i | ||||
\(616\) | 1.36507 | + | 4.20127i | 0.0550004 | + | 0.169274i | ||||
\(617\) | −3.03955 | + | 2.20836i | −0.122368 | + | 0.0889052i | −0.647286 | − | 0.762247i | \(-0.724096\pi\) |
0.524918 | + | 0.851153i | \(0.324096\pi\) | |||||||
\(618\) | −17.9348 | −0.721442 | ||||||||
\(619\) | −9.85466 | + | 7.15983i | −0.396092 | + | 0.287778i | −0.767947 | − | 0.640513i | \(-0.778722\pi\) |
0.371855 | + | 0.928291i | \(0.378722\pi\) | |||||||
\(620\) | −10.4832 | + | 20.6034i | −0.421017 | + | 0.827452i | ||||
\(621\) | 5.28551 | + | 3.84014i | 0.212100 | + | 0.154100i | ||||
\(622\) | −6.35586 | − | 4.61780i | −0.254847 | − | 0.185157i | ||||
\(623\) | −2.65097 | + | 8.15886i | −0.106209 | + | 0.326878i | ||||
\(624\) | 8.09339 | 0.323995 | ||||||||
\(625\) | −7.67151 | + | 23.7939i | −0.306860 | + | 0.951755i | ||||
\(626\) | −17.2758 | −0.690478 | ||||||||
\(627\) | −15.3661 | + | 47.2920i | −0.613662 | + | 1.88866i | ||||
\(628\) | 0.404030 | + | 0.293545i | 0.0161226 | + | 0.0117137i | ||||
\(629\) | −18.5835 | − | 13.5017i | −0.740973 | − | 0.538348i | ||||
\(630\) | 0.285916 | − | 0.561930i | 0.0113912 | − | 0.0223878i | ||||
\(631\) | 3.53306 | − | 2.56692i | 0.140649 | − | 0.102187i | −0.515236 | − | 0.857048i | \(-0.672296\pi\) |
0.655885 | + | 0.754861i | \(0.272296\pi\) | |||||||
\(632\) | −0.603496 | −0.0240058 | ||||||||
\(633\) | −0.899453 | + | 0.653491i | −0.0357500 | + | 0.0259739i | ||||
\(634\) | −5.12559 | − | 15.7750i | −0.203563 | − | 0.626504i | ||||
\(635\) | −10.5960 | − | 10.5840i | −0.420490 | − | 0.420014i | ||||
\(636\) | 7.07112 | − | 21.7627i | 0.280388 | − | 0.862945i | ||||
\(637\) | 1.38053 | + | 4.24883i | 0.0546986 | + | 0.168345i | ||||
\(638\) | 0.897771 | + | 2.76305i | 0.0355431 | + | 0.109390i | ||||
\(639\) | 0.620307 | − | 1.90911i | 0.0245390 | − | 0.0755231i | ||||
\(640\) | 1.99178 | − | 1.01628i | 0.0787318 | − | 0.0401721i | ||||
\(641\) | −0.896682 | − | 2.75970i | −0.0354168 | − | 0.109002i | 0.931785 | − | 0.363010i | \(-0.118251\pi\) |
−0.967202 | + | 0.254008i | \(0.918251\pi\) | |||||||
\(642\) | −12.6953 | + | 9.22369i | −0.501044 | + | 0.364030i | ||||
\(643\) | 0.562466 | 0.0221815 | 0.0110908 | − | 0.999938i | \(-0.496470\pi\) | ||||
0.0110908 | + | 0.999938i | \(0.496470\pi\) | |||||||
\(644\) | 1.07341 | − | 0.779875i | 0.0422981 | − | 0.0307314i | ||||
\(645\) | 25.2800 | − | 12.8988i | 0.995398 | − | 0.507892i | ||||
\(646\) | 24.3820 | + | 17.7146i | 0.959297 | + | 0.696970i | ||||
\(647\) | 18.7570 | + | 13.6278i | 0.737415 | + | 0.535763i | 0.891900 | − | 0.452232i | \(-0.149372\pi\) |
−0.154485 | + | 0.987995i | \(0.549372\pi\) | |||||||
\(648\) | −3.01798 | + | 9.28838i | −0.118557 | + | 0.364882i | ||||
\(649\) | 38.2202 | 1.50027 | ||||||||
\(650\) | −13.1501 | − | 18.0565i | −0.515789 | − | 0.708233i | ||||
\(651\) | −18.7290 | −0.734047 | ||||||||
\(652\) | 1.88397 | − | 5.79825i | 0.0737818 | − | 0.227077i | ||||
\(653\) | 35.5945 | + | 25.8609i | 1.39292 | + | 1.01201i | 0.995538 | + | 0.0943608i | \(0.0300807\pi\) |
0.397381 | + | 0.917654i | \(0.369919\pi\) | |||||||
\(654\) | −19.0757 | − | 13.8593i | −0.745918 | − | 0.541941i | ||||
\(655\) | 6.51006 | + | 40.9527i | 0.254369 | + | 1.60015i | ||||
\(656\) | −8.65090 | + | 6.28525i | −0.337761 | + | 0.245398i | ||||
\(657\) | 1.09575 | 0.0427493 | ||||||||
\(658\) | 3.94687 | − | 2.86757i | 0.153865 | − | 0.111789i | ||||
\(659\) | −14.4463 | − | 44.4612i | −0.562749 | − | 1.73196i | −0.674548 | − | 0.738231i | \(-0.735661\pi\) |
0.111799 | − | 0.993731i | \(-0.464339\pi\) | |||||||
\(660\) | 8.11501 | − | 15.9489i | 0.315876 | − | 0.620812i | ||||
\(661\) | −0.905186 | + | 2.78587i | −0.0352076 | + | 0.108358i | −0.967116 | − | 0.254336i | \(-0.918143\pi\) |
0.931908 | + | 0.362694i | \(0.118143\pi\) | |||||||
\(662\) | 10.0943 | + | 31.0672i | 0.392328 | + | 1.20746i | ||||
\(663\) | −12.1307 | − | 37.3343i | −0.471115 | − | 1.44994i | ||||
\(664\) | −0.0991381 | + | 0.305116i | −0.00384730 | + | 0.0118408i | ||||
\(665\) | 2.18127 | + | 13.7216i | 0.0845859 | + | 0.532103i | ||||
\(666\) | −0.412640 | − | 1.26998i | −0.0159895 | − | 0.0492106i | ||||
\(667\) | 0.705949 | − | 0.512902i | 0.0273345 | − | 0.0198597i | ||||
\(668\) | −3.10146 | −0.119999 | ||||||||
\(669\) | 27.8730 | − | 20.2509i | 1.07763 | − | 0.782945i | ||||
\(670\) | −17.1297 | − | 2.70313i | −0.661778 | − | 0.104431i | ||||
\(671\) | −55.2758 | − | 40.1602i | −2.13390 | − | 1.55037i | ||||
\(672\) | 1.46563 | + | 1.06484i | 0.0565379 | + | 0.0410772i | ||||
\(673\) | 5.57052 | − | 17.1443i | 0.214728 | − | 0.660864i | −0.784445 | − | 0.620198i | \(-0.787052\pi\) |
0.999173 | − | 0.0406658i | \(-0.0129479\pi\) | |||||||
\(674\) | −19.5780 | −0.754115 | ||||||||
\(675\) | 23.4066 | − | 7.63461i | 0.900921 | − | 0.293856i | ||||
\(676\) | 6.95846 | 0.267633 | ||||||||
\(677\) | −4.48513 | + | 13.8038i | −0.172378 | + | 0.530524i | −0.999504 | − | 0.0314921i | \(-0.989974\pi\) |
0.827126 | + | 0.562016i | \(0.189974\pi\) | |||||||
\(678\) | −13.7714 | − | 10.0055i | −0.528888 | − | 0.384260i | ||||
\(679\) | 4.26584 | + | 3.09932i | 0.163708 | + | 0.118941i | ||||
\(680\) | −7.67339 | − | 7.66470i | −0.294261 | − | 0.293928i | ||||
\(681\) | −14.5988 | + | 10.6066i | −0.559427 | + | 0.406447i | ||||
\(682\) | −45.6690 | −1.74876 | ||||||||
\(683\) | 17.8709 | − | 12.9840i | 0.683810 | − | 0.496817i | −0.190809 | − | 0.981627i | \(-0.561111\pi\) |
0.874620 | + | 0.484810i | \(0.161111\pi\) | |||||||
\(684\) | 0.541394 | + | 1.66624i | 0.0207007 | + | 0.0637103i | ||||
\(685\) | −16.7963 | − | 2.65051i | −0.641753 | − | 0.101271i | ||||
\(686\) | −0.309017 | + | 0.951057i | −0.0117983 | + | 0.0363115i | ||||
\(687\) | 6.86619 | + | 21.1320i | 0.261962 | + | 0.806235i | ||||
\(688\) | 2.16497 | + | 6.66309i | 0.0825387 | + | 0.254028i | ||||
\(689\) | 17.4375 | − | 53.6672i | 0.664316 | − | 2.04456i | ||||
\(690\) | −5.30905 | − | 0.837788i | −0.202112 | − | 0.0318940i | ||||
\(691\) | 7.56626 | + | 23.2866i | 0.287834 | + | 0.885862i | 0.985535 | + | 0.169473i | \(0.0542065\pi\) |
−0.697701 | + | 0.716389i | \(0.745793\pi\) | |||||||
\(692\) | 6.27811 | − | 4.56132i | 0.238658 | − | 0.173395i | ||||
\(693\) | 1.24556 | 0.0473149 | ||||||||
\(694\) | 19.6148 | − | 14.2510i | 0.744568 | − | 0.540961i | ||||
\(695\) | 16.1343 | + | 16.1160i | 0.612008 | + | 0.611315i | ||||
\(696\) | 0.963904 | + | 0.700317i | 0.0365367 | + | 0.0265455i | ||||
\(697\) | 41.9597 | + | 30.4855i | 1.58934 | + | 1.15472i | ||||
\(698\) | 1.08779 | − | 3.34787i | 0.0411734 | − | 0.126719i | ||||
\(699\) | 1.59727 | 0.0604144 | ||||||||
\(700\) | −0.00566732 | − | 5.00000i | −0.000214205 | − | 0.188982i | ||||
\(701\) | −12.8795 | −0.486450 | −0.243225 | − | 0.969970i | \(-0.578205\pi\) | ||||
−0.243225 | + | 0.969970i | \(0.578205\pi\) | |||||||
\(702\) | −6.79780 | + | 20.9215i | −0.256566 | + | 0.789630i | ||||
\(703\) | 23.8066 | + | 17.2965i | 0.897881 | + | 0.652349i | ||||
\(704\) | 3.57381 | + | 2.59653i | 0.134693 | + | 0.0978602i | ||||
\(705\) | −19.5212 | − | 3.08051i | −0.735210 | − | 0.116019i | ||||
\(706\) | −3.45290 | + | 2.50868i | −0.129952 | + | 0.0944155i | ||||
\(707\) | −3.23948 | −0.121833 | ||||||||
\(708\) | 12.6807 | − | 9.21306i | 0.476570 | − | 0.346248i | ||||
\(709\) | −2.98673 | − | 9.19222i | −0.112169 | − | 0.345221i | 0.879177 | − | 0.476495i | \(-0.158093\pi\) |
−0.991346 | + | 0.131274i | \(0.958093\pi\) | |||||||
\(710\) | −2.49921 | − | 15.7217i | −0.0937935 | − | 0.590025i | ||||
\(711\) | −0.0525832 | + | 0.161835i | −0.00197203 | + | 0.00606927i | ||||
\(712\) | 2.65097 | + | 8.15886i | 0.0993495 | + | 0.305766i | ||||
\(713\) | 4.23874 | + | 13.0455i | 0.158742 | + | 0.488557i | ||||
\(714\) | 2.71532 | − | 8.35689i | 0.101618 | − | 0.312749i | ||||
\(715\) | 20.0118 | − | 39.3304i | 0.748398 | − | 1.47087i | ||||
\(716\) | −2.63498 | − | 8.10965i | −0.0984740 | − | 0.303072i | ||||
\(717\) | 27.1285 | − | 19.7100i | 1.01313 | − | 0.736083i | ||||
\(718\) | 24.9430 | 0.930864 | ||||||||
\(719\) | 7.17810 | − | 5.21520i | 0.267698 | − | 0.194494i | −0.445836 | − | 0.895115i | \(-0.647093\pi\) |
0.713534 | + | 0.700621i | \(0.247093\pi\) | |||||||
\(720\) | −0.0989827 | − | 0.622668i | −0.00368887 | − | 0.0232055i | ||||
\(721\) | −8.00915 | − | 5.81899i | −0.298276 | − | 0.216710i | ||||
\(722\) | −15.8634 | − | 11.5255i | −0.590376 | − | 0.428934i | ||||
\(723\) | 13.3538 | − | 41.0987i | 0.496633 | − | 1.52848i | ||||
\(724\) | −5.39927 | −0.200662 | ||||||||
\(725\) | −0.00372724 | − | 3.28836i | −0.000138426 | − | 0.122127i | ||||
\(726\) | 15.4242 | 0.572447 | ||||||||
\(727\) | 14.1977 | − | 43.6959i | 0.526562 | − | 1.62059i | −0.234643 | − | 0.972081i | \(-0.575392\pi\) |
0.761206 | − | 0.648510i | \(-0.224608\pi\) | |||||||
\(728\) | 3.61427 | + | 2.62592i | 0.133954 | + | 0.0973232i | ||||
\(729\) | −19.4227 | − | 14.1114i | −0.719358 | − | 0.522644i | ||||
\(730\) | 7.74037 | − | 3.94944i | 0.286484 | − | 0.146175i | ||||
\(731\) | 27.4915 | − | 19.9738i | 1.01681 | − | 0.738756i | ||||
\(732\) | −28.0202 | −1.03565 | ||||||||
\(733\) | 23.8388 | − | 17.3199i | 0.880505 | − | 0.639724i | −0.0528803 | − | 0.998601i | \(-0.516840\pi\) |
0.933385 | + | 0.358877i | \(0.116840\pi\) | |||||||
\(734\) | 1.90054 | + | 5.84927i | 0.0701503 | + | 0.215900i | ||||
\(735\) | 3.60834 | − | 1.84112i | 0.133096 | − | 0.0679106i | ||||
\(736\) | 0.410005 | − | 1.26186i | 0.0151130 | − | 0.0465130i | ||||
\(737\) | −10.5867 | − | 32.5826i | −0.389968 | − | 1.20020i | ||||
\(738\) | 0.931701 | + | 2.86748i | 0.0342964 | + | 0.105553i | ||||
\(739\) | −12.7858 | + | 39.3507i | −0.470334 | + | 1.44754i | 0.381815 | + | 0.924239i | \(0.375299\pi\) |
−0.852149 | + | 0.523300i | \(0.824701\pi\) | |||||||
\(740\) | −7.49229 | − | 7.48380i | −0.275422 | − | 0.275110i | ||||
\(741\) | 15.5401 | + | 47.8274i | 0.570879 | + | 1.75698i | ||||
\(742\) | 10.2187 | − | 7.42433i | 0.375141 | − | 0.272556i | ||||
\(743\) | −8.40313 | −0.308281 | −0.154140 | − | 0.988049i | \(-0.549261\pi\) | ||||
−0.154140 | + | 0.988049i | \(0.549261\pi\) | |||||||
\(744\) | −15.1521 | + | 11.0086i | −0.555502 | + | 0.403596i | ||||
\(745\) | −8.61762 | + | 16.9368i | −0.315725 | + | 0.620515i | ||||
\(746\) | 21.8299 | + | 15.8603i | 0.799248 | + | 0.580688i | ||||
\(747\) | 0.0731824 | + | 0.0531701i | 0.00267760 | + | 0.00194539i | ||||
\(748\) | 6.62106 | − | 20.3775i | 0.242090 | − | 0.745076i | ||||
\(749\) | −8.66202 | −0.316503 | ||||||||
\(750\) | −14.2977 | + | 14.3464i | −0.522079 | + | 0.523858i | ||||
\(751\) | 25.8796 | 0.944362 | 0.472181 | − | 0.881502i | \(-0.343467\pi\) | ||||
0.472181 | + | 0.881502i | \(0.343467\pi\) | |||||||
\(752\) | 1.50757 | − | 4.63982i | 0.0549754 | − | 0.169197i | ||||
\(753\) | 4.78967 | + | 3.47990i | 0.174545 | + | 0.126815i | ||||
\(754\) | 2.37701 | + | 1.72700i | 0.0865655 | + | 0.0628935i | ||||
\(755\) | −11.0709 | + | 21.7584i | −0.402913 | + | 0.791870i | ||||
\(756\) | −3.98364 | + | 2.89428i | −0.144884 | + | 0.105264i | ||||
\(757\) | −19.3101 | −0.701838 | −0.350919 | − | 0.936406i | \(-0.614131\pi\) | ||||
−0.350919 | + | 0.936406i | \(0.614131\pi\) | |||||||
\(758\) | −14.2440 | + | 10.3489i | −0.517365 | + | 0.375888i | ||||
\(759\) | −3.28118 | − | 10.0984i | −0.119099 | − | 0.366549i | ||||
\(760\) | 9.83006 | + | 9.81893i | 0.356574 | + | 0.356170i | ||||
\(761\) | 2.12143 | − | 6.52908i | 0.0769016 | − | 0.236679i | −0.905215 | − | 0.424955i | \(-0.860290\pi\) |
0.982116 | + | 0.188276i | \(0.0602900\pi\) | |||||||
\(762\) | −3.74952 | − | 11.5398i | −0.135831 | − | 0.418044i | ||||
\(763\) | −4.02196 | − | 12.3783i | −0.145605 | − | 0.448125i | ||||
\(764\) | −4.11293 | + | 12.6583i | −0.148801 | + | 0.457961i | ||||
\(765\) | −2.72397 | + | 1.38988i | −0.0984854 | + | 0.0502511i | ||||
\(766\) | −11.1428 | − | 34.2941i | −0.402606 | − | 1.23909i | ||||
\(767\) | 31.2709 | − | 22.7196i | 1.12913 | − | 0.820357i | ||||
\(768\) | 1.81162 | 0.0653712 | ||||||||
\(769\) | −29.4246 | + | 21.3782i | −1.06108 | + | 0.770919i | −0.974288 | − | 0.225308i | \(-0.927661\pi\) |
−0.0867908 | + | 0.996227i | \(0.527661\pi\) | |||||||
\(770\) | 8.79861 | − | 4.48940i | 0.317080 | − | 0.161787i | ||||
\(771\) | 38.4409 | + | 27.9289i | 1.38441 | + | 1.00584i | ||||
\(772\) | 0.256980 | + | 0.186707i | 0.00924891 | + | 0.00671972i | ||||
\(773\) | −5.73873 | + | 17.6620i | −0.206408 | + | 0.635258i | 0.793245 | + | 0.608903i | \(0.208390\pi\) |
−0.999653 | + | 0.0263553i | \(0.991610\pi\) | |||||||
\(774\) | 1.97542 | 0.0710051 | ||||||||
\(775\) | 49.1794 | + | 15.9178i | 1.76658 | + | 0.571783i | ||||
\(776\) | 5.27287 | 0.189285 | ||||||||
\(777\) | 2.65123 | − | 8.15965i | 0.0951124 | − | 0.292726i | ||||
\(778\) | 10.9054 | + | 7.92324i | 0.390978 | + | 0.284062i | ||||
\(779\) | −53.7529 | − | 39.0537i | −1.92590 | − | 1.39925i | ||||
\(780\) | −2.84118 | − | 17.8729i | −0.101731 | − | 0.639954i | ||||
\(781\) | 25.4428 | − | 18.4853i | 0.910415 | − | 0.661455i | ||||
\(782\) | −6.43544 | −0.230131 | ||||||||
\(783\) | −2.61993 | + | 1.90349i | −0.0936286 | + | 0.0680251i | ||||
\(784\) | 0.309017 | + | 0.951057i | 0.0110363 | + | 0.0339663i | ||||
\(785\) | 0.506413 | − | 0.995286i | 0.0180747 | − | 0.0355233i | ||||
\(786\) | −10.3816 | + | 31.9514i | −0.370300 | + | 1.13967i | ||||
\(787\) | 9.24838 | + | 28.4636i | 0.329669 | + | 1.01462i | 0.969289 | + | 0.245925i | \(0.0790918\pi\) |
−0.639620 | + | 0.768691i | \(0.720908\pi\) | |||||||
\(788\) | 0.822669 | + | 2.53191i | 0.0293064 | + | 0.0901957i | ||||
\(789\) | −0.702733 | + | 2.16279i | −0.0250180 | + | 0.0769974i | ||||
\(790\) | 0.211857 | + | 1.33272i | 0.00753753 | + | 0.0474162i | ||||
\(791\) | −2.90360 | − | 8.93635i | −0.103240 | − | 0.317740i | ||||
\(792\) | 1.00768 | − | 0.732122i | 0.0358063 | − | 0.0260148i | ||||
\(793\) | −69.0983 | −2.45375 | ||||||||
\(794\) | −15.2957 | + | 11.1130i | −0.542826 | + | 0.394386i | ||||
\(795\) | −50.5416 | − | 7.97565i | −1.79253 | − | 0.282867i | ||||
\(796\) | 11.5263 | + | 8.37433i | 0.408538 | + | 0.296820i | ||||
\(797\) | −22.0610 | − | 16.0283i | −0.781442 | − | 0.567751i | 0.123969 | − | 0.992286i | \(-0.460438\pi\) |
−0.905412 | + | 0.424535i | \(0.860438\pi\) | |||||||
\(798\) | −3.47848 | + | 10.7057i | −0.123137 | + | 0.378976i | ||||
\(799\) | −23.6628 | −0.837131 | ||||||||
\(800\) | −2.94351 | − | 4.04175i | −0.104069 | − | 0.142897i | ||||
\(801\) | 2.41888 | 0.0854668 | ||||||||
\(802\) | 5.12271 | − | 15.7661i | 0.180889 | − | 0.556719i | ||||
\(803\) | 13.8884 | + | 10.0905i | 0.490112 | + | 0.356087i | ||||
\(804\) | −11.3666 | − | 8.25832i | −0.400869 | − | 0.291248i | ||||
\(805\) | −2.09905 | − | 2.09667i | −0.0739818 | − | 0.0738979i | ||||
\(806\) | −37.3653 | + | 27.1475i | −1.31614 | + | 0.956229i | ||||
\(807\) | 57.6044 | 2.02777 | ||||||||
\(808\) | −2.62079 | + | 1.90412i | −0.0921992 | + | 0.0669866i | ||||
\(809\) | 8.85033 | + | 27.2385i | 0.311161 | + | 0.957655i | 0.977306 | + | 0.211833i | \(0.0679433\pi\) |
−0.666145 | + | 0.745822i | \(0.732057\pi\) | |||||||
\(810\) | 21.5714 | + | 3.40404i | 0.757940 | + | 0.119606i | ||||
\(811\) | 6.20133 | − | 19.0857i | 0.217758 | − | 0.670190i | −0.781188 | − | 0.624296i | \(-0.785386\pi\) |
0.998946 | − | 0.0458948i | \(-0.0146139\pi\) | |||||||
\(812\) | 0.203232 | + | 0.625483i | 0.00713204 | + | 0.0219502i | ||||
\(813\) | 3.46083 | + | 10.6513i | 0.121377 | + | 0.373559i | ||||
\(814\) | 6.46479 | − | 19.8966i | 0.226591 | − | 0.697375i | ||||
\(815\) | −13.4659 | − | 2.12496i | −0.471689 | − | 0.0744342i | ||||
\(816\) | −2.71532 | − | 8.35689i | −0.0950551 | − | 0.292550i | ||||
\(817\) | −35.2182 | + | 25.5875i | −1.23213 | + | 0.895195i | ||||
\(818\) | 30.1676 | 1.05478 | ||||||||
\(819\) | 1.01909 | − | 0.740411i | 0.0356098 | − | 0.0258721i | ||||
\(820\) | 16.9169 | + | 16.8977i | 0.590762 | + | 0.590093i | ||||
\(821\) | −9.20902 | − | 6.69075i | −0.321397 | − | 0.233509i | 0.415374 | − | 0.909651i | \(-0.363651\pi\) |
−0.736771 | + | 0.676142i | \(0.763651\pi\) | |||||||
\(822\) | −11.1454 | − | 8.09758i | −0.388739 | − | 0.282435i | ||||
\(823\) | 10.4255 | − | 32.0864i | 0.363410 | − | 1.11846i | −0.587560 | − | 0.809180i | \(-0.699911\pi\) |
0.950971 | − | 0.309282i | \(-0.100089\pi\) | |||||||
\(824\) | −9.89986 | −0.344878 | ||||||||
\(825\) | −38.0694 | − | 12.3218i | −1.32541 | − | 0.428991i | ||||
\(826\) | 8.65204 | 0.301043 | ||||||||
\(827\) | −0.153268 | + | 0.471710i | −0.00532965 | + | 0.0164030i | −0.953686 | − | 0.300804i | \(-0.902745\pi\) |
0.948356 | + | 0.317207i | \(0.102745\pi\) | |||||||
\(828\) | −0.302660 | − | 0.219895i | −0.0105182 | − | 0.00764189i | ||||
\(829\) | −42.1243 | − | 30.6051i | −1.46304 | − | 1.06296i | −0.982559 | − | 0.185950i | \(-0.940464\pi\) |
−0.480477 | − | 0.877007i | \(-0.659536\pi\) | |||||||
\(830\) | 0.708601 | + | 0.111820i | 0.0245959 | + | 0.00388132i | ||||
\(831\) | −11.9769 | + | 8.70170i | −0.415473 | + | 0.301859i | ||||
\(832\) | 4.46749 | 0.154882 | ||||||||
\(833\) | 3.92400 | − | 2.85095i | 0.135959 | − | 0.0987797i | ||||
\(834\) | 5.70930 | + | 17.5714i | 0.197697 | + | 0.608448i | ||||
\(835\) | 1.08877 | + | 6.84909i | 0.0376784 | + | 0.237022i | ||||
\(836\) | −8.48197 | + | 26.1048i | −0.293355 | + | 0.902854i | ||||
\(837\) | −15.7308 | − | 48.4146i | −0.543738 | − | 1.67345i | ||||
\(838\) | −0.243137 | − | 0.748298i | −0.00839902 | − | 0.0258495i | ||||
\(839\) | −7.01725 | + | 21.5969i | −0.242262 | + | 0.745607i | 0.753812 | + | 0.657090i | \(0.228213\pi\) |
−0.996075 | + | 0.0885169i | \(0.971787\pi\) | |||||||
\(840\) | 1.83703 | − | 3.61042i | 0.0633834 | − | 0.124571i | ||||
\(841\) | −8.82783 | − | 27.1693i | −0.304408 | − | 0.936872i | ||||
\(842\) | 12.1996 | − | 8.86355i | 0.420427 | − | 0.305458i | ||||
\(843\) | −21.5255 | −0.741379 | ||||||||
\(844\) | −0.496491 | + | 0.360722i | −0.0170899 | + | 0.0124166i | ||||
\(845\) | −2.44276 | − | 15.3666i | −0.0840336 | − | 0.528628i | ||||
\(846\) | −1.11287 | − | 0.808546i | −0.0382612 | − | 0.0277984i | ||||
\(847\) | 6.88802 | + | 5.00444i | 0.236675 | + | 0.171955i | ||||
\(848\) | 3.90320 | − | 12.0128i | 0.134037 | − | 0.412522i | ||||
\(849\) | 32.5716 | 1.11785 | ||||||||
\(850\) | −14.2325 | + | 19.6362i | −0.488171 | + | 0.673514i | ||||
\(851\) | −6.28355 | −0.215397 | ||||||||
\(852\) | 3.98550 | − | 12.2661i | 0.136541 | − | 0.420230i | ||||
\(853\) | 31.7294 | + | 23.0528i | 1.08639 | + | 0.789312i | 0.978787 | − | 0.204882i | \(-0.0656809\pi\) |
0.107608 | + | 0.994193i | \(0.465681\pi\) | |||||||
\(854\) | −12.5130 | − | 9.09123i | −0.428186 | − | 0.311095i | ||||
\(855\) | 3.48957 | − | 1.78051i | 0.119341 | − | 0.0608923i | ||||
\(856\) | −7.00772 | + | 5.09141i | −0.239519 | + | 0.174021i | ||||
\(857\) | −18.0981 | −0.618219 | −0.309110 | − | 0.951026i | \(-0.600031\pi\) | ||||
−0.309110 | + | 0.951026i | \(0.600031\pi\) | |||||||
\(858\) | 28.9242 | − | 21.0147i | 0.987457 | − | 0.717429i | ||||
\(859\) | −14.6179 | − | 44.9892i | −0.498755 | − | 1.53501i | −0.811022 | − | 0.585016i | \(-0.801088\pi\) |
0.312266 | − | 0.949995i | \(-0.398912\pi\) | |||||||
\(860\) | 13.9544 | − | 7.12007i | 0.475840 | − | 0.242792i | ||||
\(861\) | −5.98622 | + | 18.4237i | −0.204010 | + | 0.627878i | ||||
\(862\) | −11.9184 | − | 36.6810i | −0.405941 | − | 1.24936i | ||||
\(863\) | 7.88846 | + | 24.2782i | 0.268526 | + | 0.826439i | 0.990860 | + | 0.134894i | \(0.0430695\pi\) |
−0.722334 | + | 0.691545i | \(0.756930\pi\) | |||||||
\(864\) | −1.52161 | + | 4.68305i | −0.0517664 | + | 0.159321i | ||||
\(865\) | −12.2769 | − | 12.2630i | −0.417426 | − | 0.416953i | ||||
\(866\) | −12.0312 | − | 37.0283i | −0.408838 | − | 1.25827i | ||||
\(867\) | −9.56430 | + | 6.94887i | −0.324821 | + | 0.235996i | ||||
\(868\) | −10.3383 | −0.350903 | ||||||||
\(869\) | −2.15678 | + | 1.56699i | −0.0731637 | + | 0.0531566i | ||||
\(870\) | 1.20816 | − | 2.37447i | 0.0409605 | − | 0.0805022i | ||||
\(871\) | −28.0303 | − | 20.3652i | −0.949769 | − | 0.690048i | ||||
\(872\) | −10.5296 | − | 7.65022i | −0.356578 | − | 0.259069i | ||||
\(873\) | 0.459431 | − | 1.41398i | 0.0155494 | − | 0.0478561i | ||||
\(874\) | 8.24417 | 0.278863 | ||||||||
\(875\) | −11.0397 | + | 1.76776i | −0.373210 | + | 0.0597613i | ||||
\(876\) | 7.04025 | 0.237868 | ||||||||
\(877\) | −17.0715 | + | 52.5407i | −0.576464 | + | 1.77417i | 0.0546742 | + | 0.998504i | \(0.482588\pi\) |
−0.631138 | + | 0.775670i | \(0.717412\pi\) | |||||||
\(878\) | 22.2610 | + | 16.1735i | 0.751271 | + | 0.545830i | ||||
\(879\) | −15.6868 | − | 11.3971i | −0.529102 | − | 0.384415i | ||||
\(880\) | 4.47942 | − | 8.80370i | 0.151001 | − | 0.296773i | ||||
\(881\) | −0.894253 | + | 0.649713i | −0.0301281 | + | 0.0218894i | −0.602747 | − | 0.797932i | \(-0.705927\pi\) |
0.572619 | + | 0.819821i | \(0.305927\pi\) | |||||||
\(882\) | 0.281962 | 0.00949416 | ||||||||
\(883\) | 32.4302 | − | 23.5619i | 1.09136 | − | 0.792922i | 0.111735 | − | 0.993738i | \(-0.464359\pi\) |
0.979629 | + | 0.200816i | \(0.0643593\pi\) | |||||||
\(884\) | −6.69603 | − | 20.6083i | −0.225212 | − | 0.693131i | ||||
\(885\) | −24.7971 | − | 24.7690i | −0.833546 | − | 0.832602i | ||||
\(886\) | −9.36870 | + | 28.8339i | −0.314748 | + | 0.968693i | ||||
\(887\) | 16.6215 | + | 51.1558i | 0.558096 | + | 1.71764i | 0.687623 | + | 0.726068i | \(0.258654\pi\) |
−0.129527 | + | 0.991576i | \(0.541346\pi\) | |||||||
\(888\) | −2.65123 | − | 8.15965i | −0.0889695 | − | 0.273820i | ||||
\(889\) | 2.06971 | − | 6.36990i | 0.0694157 | − | 0.213640i | ||||
\(890\) | 17.0869 | − | 8.71842i | 0.572755 | − | 0.292242i | ||||
\(891\) | 13.3318 | + | 41.0312i | 0.446633 | + | 1.37460i | ||||
\(892\) | 15.3857 | − | 11.1783i | 0.515150 | − | 0.374279i | ||||
\(893\) | 30.3135 | 1.01440 | ||||||||
\(894\) | −12.4556 | + | 9.04950i | −0.416577 | + | 0.302661i | ||||
\(895\) | −16.9838 | + | 8.66583i | −0.567707 | + | 0.289667i | ||||
\(896\) | 0.809017 | + | 0.587785i | 0.0270274 | + | 0.0196365i | ||||
\(897\) | −8.68749 | − | 6.31183i | −0.290067 | − | 0.210746i | ||||
\(898\) | −1.80627 | + | 5.55913i | −0.0602760 | + | 0.185511i | ||||
\(899\) | −6.79918 | −0.226766 | ||||||||
\(900\) | −1.34031 | + | 0.437175i | −0.0446772 | + | 0.0145725i | ||||
\(901\) | −61.2647 | −2.04102 | ||||||||
\(902\) | −14.5969 | + | 44.9246i | −0.486023 | + | 1.49582i | ||||
\(903\) | 10.2682 | + | 7.46028i | 0.341704 | + | 0.248263i | ||||
\(904\) | −7.60172 | − | 5.52297i | −0.252829 | − | 0.183691i | ||||
\(905\) | 1.89541 | + | 11.9234i | 0.0630057 | + | 0.396348i | ||||
\(906\) | −16.0015 | + | 11.6258i | −0.531614 | + | 0.386240i | ||||
\(907\) | 5.38033 | 0.178651 | 0.0893255 | − | 0.996002i | \(-0.471529\pi\) | ||||
0.0893255 | + | 0.996002i | \(0.471529\pi\) | |||||||
\(908\) | −8.05842 | + | 5.85479i | −0.267428 | + | 0.194298i | ||||
\(909\) | 0.282259 | + | 0.868705i | 0.00936195 | + | 0.0288131i | ||||
\(910\) | 4.53014 | − | 8.90338i | 0.150173 | − | 0.295144i | ||||
\(911\) | −8.28837 | + | 25.5090i | −0.274606 | + | 0.845150i | 0.714717 | + | 0.699413i | \(0.246555\pi\) |
−0.989323 | + | 0.145737i | \(0.953445\pi\) | |||||||
\(912\) | 3.47848 | + | 10.7057i | 0.115184 | + | 0.354500i | ||||
\(913\) | 0.437940 | + | 1.34784i | 0.0144937 | + | 0.0446070i | ||||
\(914\) | −4.86806 | + | 14.9823i | −0.161021 | + | 0.495572i | ||||
\(915\) | 9.83647 | + | 61.8780i | 0.325184 | + | 2.04562i | ||||
\(916\) | 3.79009 | + | 11.6647i | 0.125228 | + | 0.385412i | ||||
\(917\) | −15.0029 | + | 10.9002i | −0.495438 | + | 0.359957i | ||||
\(918\) | 23.8833 | 0.788265 | ||||||||
\(919\) | −21.2106 | + | 15.4104i | −0.699674 | + | 0.508343i | −0.879826 | − | 0.475296i | \(-0.842341\pi\) |
0.180152 | + | 0.983639i | \(0.442341\pi\) | |||||||
\(920\) | −2.93056 | − | 0.462453i | −0.0966177 | − | 0.0152466i | ||||
\(921\) | 0.203722 | + | 0.148012i | 0.00671286 | + | 0.00487718i | ||||
\(922\) | 16.5784 | + | 12.0449i | 0.545979 | + | 0.396677i | ||||
\(923\) | 9.82832 | − | 30.2485i | 0.323503 | − | 0.995640i | ||||
\(924\) | 8.00278 | 0.263272 | ||||||||
\(925\) | −13.8966 | + | 19.1727i | −0.456918 | + | 0.630395i | ||||
\(926\) | 21.6103 | 0.710158 | ||||||||
\(927\) | −0.862585 | + | 2.65476i | −0.0283310 | + | 0.0871939i | ||||
\(928\) | 0.532068 | + | 0.386570i | 0.0174660 | + | 0.0126898i | ||||
\(929\) | −24.3470 | − | 17.6892i | −0.798801 | − | 0.580363i | 0.111761 | − | 0.993735i | \(-0.464351\pi\) |
−0.910562 | + | 0.413372i | \(0.864351\pi\) | |||||||
\(930\) | 29.6299 | + | 29.5963i | 0.971603 | + | 0.970502i | ||||
\(931\) | −5.02687 | + | 3.65224i | −0.164749 | + | 0.119697i | ||||
\(932\) | 0.881683 | 0.0288805 | ||||||||
\(933\) | −11.5144 | + | 8.36570i | −0.376964 | + | 0.273881i | ||||
\(934\) | −1.93496 | − | 5.95519i | −0.0633138 | − | 0.194860i | ||||
\(935\) | −47.3248 | − | 7.46803i | −1.54769 | − | 0.244231i | ||||
\(936\) | 0.389257 | − | 1.19801i | 0.0127233 | − | 0.0391582i | ||||
\(937\) | −11.5140 | − | 35.4365i | −0.376146 | − | 1.15766i | −0.942702 | − | 0.333635i | \(-0.891725\pi\) |
0.566556 | − | 0.824023i | \(-0.308275\pi\) | |||||||
\(938\) | −2.39656 | − | 7.37586i | −0.0782505 | − | 0.240830i | ||||
\(939\) | −9.67133 | + | 29.7653i | −0.315612 | + | 0.971354i | ||||
\(940\) | −10.7755 | − | 1.70042i | −0.351459 | − | 0.0554615i | ||||
\(941\) | 7.67162 | + | 23.6108i | 0.250088 | + | 0.769691i | 0.994758 | + | 0.102258i | \(0.0326068\pi\) |
−0.744670 | + | 0.667433i | \(0.767393\pi\) | |||||||
\(942\) | 0.731949 | − | 0.531792i | 0.0238482 | − | 0.0173267i | ||||
\(943\) | 14.1876 | 0.462013 | ||||||||
\(944\) | 6.99965 | − | 5.08554i | 0.227819 | − | 0.165520i | ||||
\(945\) | 7.79001 | + | 7.78119i | 0.253409 | + | 0.253122i | ||||
\(946\) | 25.0381 | + | 18.1912i | 0.814058 | + | 0.591448i | ||||
\(947\) | −14.0638 | − | 10.2179i | −0.457011 | − | 0.332038i | 0.335346 | − | 0.942095i | \(-0.391147\pi\) |
−0.792358 | + | 0.610057i | \(0.791147\pi\) | |||||||
\(948\) | −0.337850 | + | 1.03979i | −0.0109728 | + | 0.0337709i | ||||
\(949\) | 17.3614 | 0.563575 | ||||||||
\(950\) | 18.2327 | − | 25.1551i | 0.591547 | − | 0.816138i | ||||
\(951\) | −30.0489 | −0.974403 | ||||||||
\(952\) | 1.49884 | − | 4.61294i | 0.0485775 | − | 0.149506i | ||||
\(953\) | −31.8386 | − | 23.1321i | −1.03135 | − | 0.749321i | −0.0627734 | − | 0.998028i | \(-0.519995\pi\) |
−0.968579 | + | 0.248707i | \(0.919995\pi\) | |||||||
\(954\) | −2.88129 | − | 2.09338i | −0.0932852 | − | 0.0677757i | ||||
\(955\) | 29.3977 | + | 4.63905i | 0.951286 | + | 0.150116i | ||||
\(956\) | 14.9747 | − | 10.8798i | 0.484317 | − | 0.351877i | ||||
\(957\) | 5.26320 | 0.170135 | ||||||||
\(958\) | 10.3531 | − | 7.52197i | 0.334494 | − | 0.243024i | ||||
\(959\) | −2.34991 | − | 7.23229i | −0.0758827 | − | 0.233543i | ||||
\(960\) | −0.635968 | − | 4.00067i | −0.0205258 | − | 0.129121i | ||||
\(961\) | 23.4481 | − | 72.1658i | 0.756390 | − | 2.32793i | ||||
\(962\) | −6.53799 | − | 20.1219i | −0.210793 | − | 0.648755i | ||||
\(963\) | 0.754731 | + | 2.32282i | 0.0243209 | + | 0.0748520i | ||||
\(964\) | 7.37119 | − | 22.6862i | 0.237410 | − | 0.730673i | ||||
\(965\) | 0.322099 | − | 0.633042i | 0.0103687 | − | 0.0203783i | ||||
\(966\) | −0.742772 | − | 2.28602i | −0.0238983 | − | 0.0735514i | ||||
\(967\) | 7.12318 | − | 5.17529i | 0.229066 | − | 0.166426i | −0.467332 | − | 0.884082i | \(-0.654785\pi\) |
0.696398 | + | 0.717656i | \(0.254785\pi\) | |||||||
\(968\) | 8.51406 | 0.273652 | ||||||||
\(969\) | 44.1709 | − | 32.0920i | 1.41897 | − | 1.03094i | ||||
\(970\) | −1.85104 | − | 11.6443i | −0.0594333 | − | 0.373876i | ||||
\(971\) | 32.8383 | + | 23.8584i | 1.05383 | + | 0.765653i | 0.972937 | − | 0.231070i | \(-0.0742227\pi\) |
0.0808934 | + | 0.996723i | \(0.474223\pi\) | |||||||
\(972\) | 2.36299 | + | 1.71681i | 0.0757930 | + | 0.0550668i | ||||
\(973\) | −3.15149 | + | 9.69929i | −0.101032 | + | 0.310945i | ||||
\(974\) | 13.4686 | 0.431563 | ||||||||
\(975\) | −38.4721 | + | 12.5486i | −1.23209 | + | 0.401876i | ||||
\(976\) | −15.4669 | −0.495084 | ||||||||
\(977\) | −12.1780 | + | 37.4800i | −0.389609 | + | 1.19909i | 0.543473 | + | 0.839427i | \(0.317109\pi\) |
−0.933081 | + | 0.359666i | \(0.882891\pi\) | |||||||
\(978\) | −8.93543 | − | 6.49197i | −0.285723 | − | 0.207590i | ||||
\(979\) | 30.6588 | + | 22.2749i | 0.979858 | + | 0.711909i | ||||
\(980\) | 1.99178 | − | 1.01628i | 0.0636249 | − | 0.0324640i | ||||
\(981\) | −2.96896 | + | 2.15707i | −0.0947915 | + | 0.0688700i | ||||
\(982\) | 15.1430 | 0.483233 | ||||||||
\(983\) | −3.91945 | + | 2.84764i | −0.125011 | + | 0.0908257i | −0.648534 | − | 0.761186i | \(-0.724617\pi\) |
0.523523 | + | 0.852012i | \(0.324617\pi\) | |||||||
\(984\) | 5.98622 | + | 18.4237i | 0.190834 | + | 0.587326i | ||||
\(985\) | 5.30253 | − | 2.70556i | 0.168953 | − | 0.0862063i | ||||
\(986\) | 0.985742 | − | 3.03380i | 0.0313924 | − | 0.0966159i | ||||
\(987\) | −2.73114 | − | 8.40559i | −0.0869332 | − | 0.267553i | ||||
\(988\) | 8.57800 | + | 26.4004i | 0.272903 | + | 0.839908i | ||||
\(989\) | 2.87249 | − | 8.84061i | 0.0913399 | − | 0.281115i | ||||
\(990\) | −1.97052 | − | 1.96829i | −0.0626272 | − | 0.0625562i | ||||
\(991\) | 8.35207 | + | 25.7050i | 0.265312 | + | 0.816547i | 0.991621 | + | 0.129179i | \(0.0412342\pi\) |
−0.726309 | + | 0.687368i | \(0.758766\pi\) | |||||||
\(992\) | −8.36383 | + | 6.07668i | −0.265552 | + | 0.192935i | ||||
\(993\) | 59.1783 | 1.87797 | ||||||||
\(994\) | 5.75958 | − | 4.18458i | 0.182683 | − | 0.132727i | ||||
\(995\) | 14.4471 | − | 28.3938i | 0.458003 | − | 0.900143i | ||||
\(996\) | 0.470200 | + | 0.341620i | 0.0148989 | + | 0.0108247i | ||||
\(997\) | 29.9388 | + | 21.7518i | 0.948173 | + | 0.688888i | 0.950374 | − | 0.311110i | \(-0.100701\pi\) |
−0.00220129 | + | 0.999998i | \(0.500701\pi\) | |||||||
\(998\) | 11.6450 | − | 35.8395i | 0.368615 | − | 1.13448i | ||||
\(999\) | 23.3196 | 0.737799 |
(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 | 350.2.h.c.71.2 | ✓ | 16 | |
25.6 | even | 5 | inner | 350.2.h.c.281.2 | yes | 16 | |
25.9 | even | 10 | 8750.2.a.s.1.3 | 8 | |||
25.16 | even | 5 | 8750.2.a.u.1.6 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
350.2.h.c.71.2 | ✓ | 16 | 1.1 | even | 1 | trivial | |
350.2.h.c.281.2 | yes | 16 | 25.6 | even | 5 | inner | |
8750.2.a.s.1.3 | 8 | 25.9 | even | 10 | |||
8750.2.a.u.1.6 | 8 | 25.16 | even | 5 |