Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(104,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 3, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.104");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.z (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 104.17 | ||
Character | \(\chi\) | \(=\) | 315.104 |
Dual form | 315.2.z.b.209.17 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.430691 | − | 0.745979i | −0.304545 | − | 0.527487i | 0.672615 | − | 0.739992i | \(-0.265171\pi\) |
−0.977160 | + | 0.212506i | \(0.931838\pi\) | |||||||
\(3\) | −0.0265195 | − | 1.73185i | −0.0153110 | − | 0.999883i | ||||
\(4\) | 0.629010 | − | 1.08948i | 0.314505 | − | 0.544739i | ||||
\(5\) | −2.22929 | + | 0.173963i | −0.996969 | + | 0.0777986i | ||||
\(6\) | −1.28050 | + | 0.765674i | −0.522762 | + | 0.312585i | ||||
\(7\) | 1.96991 | − | 1.76620i | 0.744556 | − | 0.667560i | ||||
\(8\) | −2.80640 | −0.992213 | ||||||||
\(9\) | −2.99859 | + | 0.0918554i | −0.999531 | + | 0.0306185i | ||||
\(10\) | 1.08991 | + | 1.58808i | 0.344659 | + | 0.502195i | ||||
\(11\) | 0.938031 | − | 0.541572i | 0.282827 | − | 0.163290i | −0.351876 | − | 0.936047i | \(-0.614456\pi\) |
0.634703 | + | 0.772757i | \(0.281123\pi\) | |||||||
\(12\) | −1.90349 | − | 1.06046i | −0.549490 | − | 0.306128i | ||||
\(13\) | −0.585327 | + | 1.01382i | −0.162341 | + | 0.281182i | −0.935708 | − | 0.352776i | \(-0.885238\pi\) |
0.773367 | + | 0.633958i | \(0.218571\pi\) | |||||||
\(14\) | −2.16597 | − | 0.708826i | −0.578880 | − | 0.189442i | ||||
\(15\) | 0.360397 | + | 3.85618i | 0.0930541 | + | 0.995661i | ||||
\(16\) | −0.0493285 | − | 0.0854395i | −0.0123321 | − | 0.0213599i | ||||
\(17\) | − | 2.85626i | − | 0.692744i | −0.938097 | − | 0.346372i | \(-0.887413\pi\) | ||
0.938097 | − | 0.346372i | \(-0.112587\pi\) | |||||||
\(18\) | 1.35999 | + | 2.19733i | 0.320553 | + | 0.517915i | ||||
\(19\) | 1.67469i | 0.384200i | 0.981375 | + | 0.192100i | \(0.0615298\pi\) | ||||
−0.981375 | + | 0.192100i | \(0.938470\pi\) | |||||||
\(20\) | −1.21272 | + | 2.53819i | −0.271172 | + | 0.567556i | ||||
\(21\) | −3.11103 | − | 3.36475i | −0.678882 | − | 0.734248i | ||||
\(22\) | −0.808003 | − | 0.466501i | −0.172267 | − | 0.0994583i | ||||
\(23\) | −2.16794 | + | 3.75498i | −0.452046 | + | 0.782967i | −0.998513 | − | 0.0545137i | \(-0.982639\pi\) |
0.546467 | + | 0.837481i | \(0.315972\pi\) | |||||||
\(24\) | 0.0744243 | + | 4.86026i | 0.0151918 | + | 0.992096i | ||||
\(25\) | 4.93947 | − | 0.775628i | 0.987895 | − | 0.155126i | ||||
\(26\) | 1.00838 | 0.197760 | ||||||||
\(27\) | 0.238601 | + | 5.19067i | 0.0459187 | + | 0.998945i | ||||
\(28\) | −0.685139 | − | 3.25713i | −0.129479 | − | 0.615540i | ||||
\(29\) | 5.10403 | − | 2.94681i | 0.947795 | − | 0.547210i | 0.0553996 | − | 0.998464i | \(-0.482357\pi\) |
0.892395 | + | 0.451255i | \(0.149023\pi\) | |||||||
\(30\) | 2.72141 | − | 1.92967i | 0.496859 | − | 0.352308i | ||||
\(31\) | −4.66158 | − | 2.69137i | −0.837245 | − | 0.483383i | 0.0190820 | − | 0.999818i | \(-0.493926\pi\) |
−0.856327 | + | 0.516434i | \(0.827259\pi\) | |||||||
\(32\) | −2.84889 | + | 4.93443i | −0.503618 | + | 0.872291i | ||||
\(33\) | −0.962797 | − | 1.61016i | −0.167601 | − | 0.280294i | ||||
\(34\) | −2.13071 | + | 1.23016i | −0.365413 | + | 0.210972i | ||||
\(35\) | −4.08425 | + | 4.28006i | −0.690364 | + | 0.723462i | ||||
\(36\) | −1.78607 | + | 3.32468i | −0.297679 | + | 0.554113i | ||||
\(37\) | − | 6.09133i | − | 1.00141i | −0.865619 | − | 0.500704i | \(-0.833075\pi\) | ||
0.865619 | − | 0.500704i | \(-0.166925\pi\) | |||||||
\(38\) | 1.24928 | − | 0.721274i | 0.202661 | − | 0.117006i | ||||
\(39\) | 1.77130 | + | 0.986812i | 0.283635 | + | 0.158016i | ||||
\(40\) | 6.25628 | − | 0.488210i | 0.989205 | − | 0.0771927i | ||||
\(41\) | 0.718725 | − | 1.24487i | 0.112246 | − | 0.194416i | −0.804430 | − | 0.594048i | \(-0.797529\pi\) |
0.916675 | + | 0.399632i | \(0.130862\pi\) | |||||||
\(42\) | −1.17014 | + | 3.76993i | −0.180556 | + | 0.581712i | ||||
\(43\) | −3.85576 | + | 2.22612i | −0.587997 | + | 0.339480i | −0.764305 | − | 0.644855i | \(-0.776918\pi\) |
0.176308 | + | 0.984335i | \(0.443585\pi\) | |||||||
\(44\) | − | 1.36262i | − | 0.205422i | ||||||
\(45\) | 6.66876 | − | 0.726416i | 0.994120 | − | 0.108288i | ||||
\(46\) | 3.73485 | 0.550673 | ||||||||
\(47\) | 8.32143 | − | 4.80438i | 1.21381 | − | 0.700791i | 0.250219 | − | 0.968189i | \(-0.419497\pi\) |
0.963586 | + | 0.267398i | \(0.0861639\pi\) | |||||||
\(48\) | −0.146660 | + | 0.0876953i | −0.0211685 | + | 0.0126577i | ||||
\(49\) | 0.761092 | − | 6.95850i | 0.108727 | − | 0.994072i | ||||
\(50\) | −2.70599 | − | 3.35069i | −0.382685 | − | 0.473859i | ||||
\(51\) | −4.94660 | + | 0.0757465i | −0.692663 | + | 0.0106066i | ||||
\(52\) | 0.736354 | + | 1.27540i | 0.102114 | + | 0.176866i | ||||
\(53\) | −9.26253 | −1.27231 | −0.636153 | − | 0.771563i | \(-0.719475\pi\) | ||||
−0.636153 | + | 0.771563i | \(0.719475\pi\) | |||||||
\(54\) | 3.76937 | − | 2.41357i | 0.512946 | − | 0.328445i | ||||
\(55\) | −1.99693 | + | 1.37050i | −0.269266 | + | 0.184799i | ||||
\(56\) | −5.52836 | + | 4.95666i | −0.738758 | + | 0.662361i | ||||
\(57\) | 2.90031 | − | 0.0444119i | 0.384155 | − | 0.00588250i | ||||
\(58\) | −4.39652 | − | 2.53833i | −0.577292 | − | 0.333299i | ||||
\(59\) | 6.02182 | − | 10.4301i | 0.783974 | − | 1.35788i | −0.145636 | − | 0.989338i | \(-0.546523\pi\) |
0.929610 | − | 0.368544i | \(-0.120144\pi\) | |||||||
\(60\) | 4.42791 | + | 2.03293i | 0.571641 | + | 0.262450i | ||||
\(61\) | 10.0506 | − | 5.80270i | 1.28684 | − | 0.742960i | 0.308754 | − | 0.951142i | \(-0.400088\pi\) |
0.978090 | + | 0.208182i | \(0.0667547\pi\) | |||||||
\(62\) | 4.63659i | 0.588847i | ||||||||
\(63\) | −5.74472 | + | 5.47706i | −0.723767 | + | 0.690044i | ||||
\(64\) | 4.71066 | 0.588832 | ||||||||
\(65\) | 1.12850 | − | 2.36192i | 0.139973 | − | 0.292960i | ||||
\(66\) | −0.786481 | + | 1.41171i | −0.0968091 | + | 0.173769i | ||||
\(67\) | 3.28867 | + | 1.89871i | 0.401775 | + | 0.231965i | 0.687250 | − | 0.726421i | \(-0.258818\pi\) |
−0.285475 | + | 0.958386i | \(0.592151\pi\) | |||||||
\(68\) | −3.11183 | − | 1.79662i | −0.377365 | − | 0.217872i | ||||
\(69\) | 6.56054 | + | 3.65496i | 0.789797 | + | 0.440005i | ||||
\(70\) | 4.95188 | + | 1.20338i | 0.591863 | + | 0.143832i | ||||
\(71\) | − | 7.45367i | − | 0.884588i | −0.896870 | − | 0.442294i | \(-0.854165\pi\) | ||
0.896870 | − | 0.442294i | \(-0.145835\pi\) | |||||||
\(72\) | 8.41526 | − | 0.257783i | 0.991747 | − | 0.0303800i | ||||
\(73\) | 1.13156 | 0.132439 | 0.0662193 | − | 0.997805i | \(-0.478906\pi\) | ||||
0.0662193 | + | 0.997805i | \(0.478906\pi\) | |||||||
\(74\) | −4.54400 | + | 2.62348i | −0.528229 | + | 0.304973i | ||||
\(75\) | −1.47426 | − | 8.53385i | −0.170233 | − | 0.985404i | ||||
\(76\) | 1.82454 | + | 1.05340i | 0.209289 | + | 0.120833i | ||||
\(77\) | 0.891313 | − | 2.72360i | 0.101575 | − | 0.310383i | ||||
\(78\) | −0.0267417 | − | 1.74636i | −0.00302791 | − | 0.197737i | ||||
\(79\) | 3.13677 | + | 5.43305i | 0.352915 | + | 0.611266i | 0.986759 | − | 0.162195i | \(-0.0518572\pi\) |
−0.633844 | + | 0.773461i | \(0.718524\pi\) | |||||||
\(80\) | 0.124831 | + | 0.181888i | 0.0139565 | + | 0.0203357i | ||||
\(81\) | 8.98313 | − | 0.550874i | 0.998125 | − | 0.0612082i | ||||
\(82\) | −1.23819 | −0.136736 | ||||||||
\(83\) | −3.12835 | + | 1.80615i | −0.343381 | + | 0.198251i | −0.661766 | − | 0.749710i | \(-0.730193\pi\) |
0.318385 | + | 0.947961i | \(0.396859\pi\) | |||||||
\(84\) | −5.62268 | + | 1.27293i | −0.613485 | + | 0.138889i | ||||
\(85\) | 0.496883 | + | 6.36743i | 0.0538945 | + | 0.690645i | ||||
\(86\) | 3.32128 | + | 1.91754i | 0.358143 | + | 0.206774i | ||||
\(87\) | −5.23879 | − | 8.76126i | −0.561657 | − | 0.939305i | ||||
\(88\) | −2.63249 | + | 1.51987i | −0.280625 | + | 0.162019i | ||||
\(89\) | 9.15999 | 0.970957 | 0.485478 | − | 0.874249i | \(-0.338645\pi\) | ||||
0.485478 | + | 0.874249i | \(0.338645\pi\) | |||||||
\(90\) | −3.41407 | − | 4.66189i | −0.359874 | − | 0.491406i | ||||
\(91\) | 0.637558 | + | 3.03093i | 0.0668342 | + | 0.317728i | ||||
\(92\) | 2.72731 | + | 4.72384i | 0.284342 | + | 0.492494i | ||||
\(93\) | −4.53741 | + | 8.14452i | −0.470508 | + | 0.844548i | ||||
\(94\) | −7.16793 | − | 4.13841i | −0.739316 | − | 0.426844i | ||||
\(95\) | −0.291334 | − | 3.73337i | −0.0298902 | − | 0.383036i | ||||
\(96\) | 8.62122 | + | 4.80299i | 0.879900 | + | 0.490203i | ||||
\(97\) | 9.64743 | + | 16.7098i | 0.979548 | + | 1.69663i | 0.664027 | + | 0.747708i | \(0.268846\pi\) |
0.315521 | + | 0.948919i | \(0.397821\pi\) | |||||||
\(98\) | −5.51869 | + | 2.42921i | −0.557472 | + | 0.245387i | ||||
\(99\) | −2.76303 | + | 1.71012i | −0.277695 | + | 0.171873i | ||||
\(100\) | 2.26195 | − | 5.86932i | 0.226195 | − | 0.586932i | ||||
\(101\) | 2.69879 | + | 4.67444i | 0.268539 | + | 0.465124i | 0.968485 | − | 0.249072i | \(-0.0801257\pi\) |
−0.699946 | + | 0.714196i | \(0.746792\pi\) | |||||||
\(102\) | 2.18696 | + | 3.65744i | 0.216542 | + | 0.362140i | ||||
\(103\) | 8.67459 | − | 15.0248i | 0.854733 | − | 1.48044i | −0.0221593 | − | 0.999754i | \(-0.507054\pi\) |
0.876892 | − | 0.480687i | \(-0.159613\pi\) | |||||||
\(104\) | 1.64266 | − | 2.84518i | 0.161076 | − | 0.278992i | ||||
\(105\) | 7.52072 | + | 6.95979i | 0.733947 | + | 0.679206i | ||||
\(106\) | 3.98929 | + | 6.90965i | 0.387474 | + | 0.671125i | ||||
\(107\) | 11.5521 | 1.11678 | 0.558392 | − | 0.829577i | \(-0.311419\pi\) | ||||
0.558392 | + | 0.829577i | \(0.311419\pi\) | |||||||
\(108\) | 5.80520 | + | 3.00504i | 0.558606 | + | 0.289160i | ||||
\(109\) | −17.3043 | −1.65745 | −0.828727 | − | 0.559653i | \(-0.810935\pi\) | ||||
−0.828727 | + | 0.559653i | \(0.810935\pi\) | |||||||
\(110\) | 1.88243 | + | 0.899404i | 0.179482 | + | 0.0857548i | ||||
\(111\) | −10.5492 | + | 0.161539i | −1.00129 | + | 0.0153326i | ||||
\(112\) | −0.248076 | − | 0.0811842i | −0.0234410 | − | 0.00767119i | ||||
\(113\) | 2.69608 | − | 4.66975i | 0.253626 | − | 0.439293i | −0.710896 | − | 0.703298i | \(-0.751710\pi\) |
0.964521 | + | 0.264005i | \(0.0850435\pi\) | |||||||
\(114\) | −1.28227 | − | 2.14444i | −0.120095 | − | 0.200845i | ||||
\(115\) | 4.17974 | − | 8.74808i | 0.389762 | − | 0.815763i | ||||
\(116\) | − | 7.41431i | − | 0.688401i | ||||||
\(117\) | 1.66203 | − | 3.09379i | 0.153655 | − | 0.286021i | ||||
\(118\) | −10.3742 | −0.955020 | ||||||||
\(119\) | −5.04471 | − | 5.62657i | −0.462448 | − | 0.515787i | ||||
\(120\) | −1.01142 | − | 10.8220i | −0.0923294 | − | 0.987907i | ||||
\(121\) | −4.91340 | + | 8.51026i | −0.446673 | + | 0.773660i | ||||
\(122\) | −8.65739 | − | 4.99834i | −0.783803 | − | 0.452529i | ||||
\(123\) | −2.17498 | − | 1.21171i | −0.196111 | − | 0.109256i | ||||
\(124\) | −5.86437 | + | 3.38579i | −0.526636 | + | 0.304053i | ||||
\(125\) | −10.8766 | + | 2.58838i | −0.972832 | + | 0.231512i | ||||
\(126\) | 6.55997 | + | 1.92652i | 0.584409 | + | 0.171628i | ||||
\(127\) | 4.42463i | 0.392622i | 0.980542 | + | 0.196311i | \(0.0628962\pi\) | ||||
−0.980542 | + | 0.196311i | \(0.937104\pi\) | |||||||
\(128\) | 3.66895 | + | 6.35480i | 0.324292 | + | 0.561690i | ||||
\(129\) | 3.95756 | + | 6.61855i | 0.348444 | + | 0.582731i | ||||
\(130\) | −2.24797 | + | 0.175421i | −0.197160 | + | 0.0153854i | ||||
\(131\) | −8.34082 | + | 14.4467i | −0.728741 | + | 1.26222i | 0.228675 | + | 0.973503i | \(0.426561\pi\) |
−0.957416 | + | 0.288713i | \(0.906773\pi\) | |||||||
\(132\) | −2.35985 | + | 0.0361359i | −0.205398 | + | 0.00314523i | ||||
\(133\) | 2.95783 | + | 3.29899i | 0.256477 | + | 0.286059i | ||||
\(134\) | − | 3.27104i | − | 0.282575i | ||||||
\(135\) | −1.43489 | − | 11.5300i | −0.123496 | − | 0.992345i | ||||
\(136\) | 8.01580i | 0.687350i | ||||||||
\(137\) | −9.93186 | − | 17.2025i | −0.848536 | − | 1.46971i | −0.882515 | − | 0.470284i | \(-0.844151\pi\) |
0.0339793 | − | 0.999423i | \(-0.489182\pi\) | |||||||
\(138\) | −0.0990462 | − | 6.46819i | −0.00843137 | − | 0.550609i | ||||
\(139\) | −19.3156 | − | 11.1519i | −1.63833 | − | 0.945890i | −0.981408 | − | 0.191931i | \(-0.938525\pi\) |
−0.656921 | − | 0.753959i | \(-0.728142\pi\) | |||||||
\(140\) | 2.09399 | + | 7.14190i | 0.176975 | + | 0.603601i | ||||
\(141\) | −8.54114 | − | 14.2840i | −0.719293 | − | 1.20293i | ||||
\(142\) | −5.56028 | + | 3.21023i | −0.466608 | + | 0.269396i | ||||
\(143\) | 1.26799i | 0.106034i | ||||||||
\(144\) | 0.155764 | + | 0.251667i | 0.0129804 | + | 0.0209723i | ||||
\(145\) | −10.8657 | + | 7.45722i | −0.902350 | + | 0.619288i | ||||
\(146\) | −0.487351 | − | 0.844117i | −0.0403335 | − | 0.0698597i | ||||
\(147\) | −12.0712 | − | 1.13356i | −0.995620 | − | 0.0934945i | ||||
\(148\) | −6.63636 | − | 3.83151i | −0.545506 | − | 0.314948i | ||||
\(149\) | 8.01245 | + | 4.62599i | 0.656405 | + | 0.378976i | 0.790906 | − | 0.611938i | \(-0.209610\pi\) |
−0.134501 | + | 0.990913i | \(0.542943\pi\) | |||||||
\(150\) | −5.73112 | + | 4.77522i | −0.467944 | + | 0.389895i | ||||
\(151\) | −8.99201 | − | 15.5746i | −0.731759 | − | 1.26744i | −0.956131 | − | 0.292941i | \(-0.905366\pi\) |
0.224371 | − | 0.974504i | \(-0.427967\pi\) | |||||||
\(152\) | − | 4.69985i | − | 0.381208i | ||||||
\(153\) | 0.262363 | + | 8.56475i | 0.0212108 | + | 0.692419i | ||||
\(154\) | −2.41563 | + | 0.508128i | −0.194657 | + | 0.0409462i | ||||
\(155\) | 10.8602 | + | 5.18889i | 0.872314 | + | 0.416782i | ||||
\(156\) | 2.18927 | − | 1.30908i | 0.175282 | − | 0.104810i | ||||
\(157\) | −1.97351 | + | 3.41821i | −0.157503 | + | 0.272803i | −0.933968 | − | 0.357358i | \(-0.883678\pi\) |
0.776465 | + | 0.630161i | \(0.217011\pi\) | |||||||
\(158\) | 2.70196 | − | 4.67994i | 0.214957 | − | 0.372316i | ||||
\(159\) | 0.245637 | + | 16.0413i | 0.0194803 | + | 1.27216i | ||||
\(160\) | 5.49260 | − | 11.4959i | 0.434228 | − | 0.908828i | ||||
\(161\) | 2.36139 | + | 11.2260i | 0.186104 | + | 0.884731i | ||||
\(162\) | −4.27989 | − | 6.46397i | −0.336260 | − | 0.507857i | ||||
\(163\) | 12.6517i | 0.990961i | 0.868619 | + | 0.495481i | \(0.165008\pi\) | ||||
−0.868619 | + | 0.495481i | \(0.834992\pi\) | |||||||
\(164\) | −0.904170 | − | 1.56607i | −0.0706038 | − | 0.122289i | ||||
\(165\) | 2.42646 | + | 3.42203i | 0.188900 | + | 0.266405i | ||||
\(166\) | 2.69470 | + | 1.55579i | 0.209150 | + | 0.120753i | ||||
\(167\) | 10.8034 | + | 6.23735i | 0.835992 | + | 0.482660i | 0.855900 | − | 0.517141i | \(-0.173004\pi\) |
−0.0199075 | + | 0.999802i | \(0.506337\pi\) | |||||||
\(168\) | 8.73079 | + | 9.44283i | 0.673595 | + | 0.728530i | ||||
\(169\) | 5.81478 | + | 10.0715i | 0.447291 | + | 0.774731i | ||||
\(170\) | 4.53596 | − | 3.11306i | 0.347893 | − | 0.238761i | ||||
\(171\) | −0.153829 | − | 5.02171i | −0.0117636 | − | 0.384020i | ||||
\(172\) | 5.60102i | 0.427073i | ||||||||
\(173\) | −3.93214 | + | 2.27022i | −0.298955 | + | 0.172602i | −0.641973 | − | 0.766727i | \(-0.721884\pi\) |
0.343019 | + | 0.939329i | \(0.388551\pi\) | |||||||
\(174\) | −4.27941 | + | 7.68142i | −0.324421 | + | 0.582327i | ||||
\(175\) | 8.36041 | − | 10.2520i | 0.631987 | − | 0.774979i | ||||
\(176\) | −0.0925433 | − | 0.0534299i | −0.00697572 | − | 0.00402743i | ||||
\(177\) | −18.2230 | − | 10.1523i | −1.36973 | − | 0.763091i | ||||
\(178\) | −3.94512 | − | 6.83316i | −0.295700 | − | 0.512167i | ||||
\(179\) | 13.8148i | 1.03257i | 0.856417 | + | 0.516284i | \(0.172685\pi\) | ||||
−0.856417 | + | 0.516284i | \(0.827315\pi\) | |||||||
\(180\) | 3.40330 | − | 7.72239i | 0.253667 | − | 0.575593i | ||||
\(181\) | 13.0785i | 0.972118i | 0.873926 | + | 0.486059i | \(0.161566\pi\) | ||||
−0.873926 | + | 0.486059i | \(0.838434\pi\) | |||||||
\(182\) | 1.98642 | − | 1.78100i | 0.147243 | − | 0.132016i | ||||
\(183\) | −10.3159 | − | 17.2522i | −0.762576 | − | 1.27532i | ||||
\(184\) | 6.08410 | − | 10.5380i | 0.448526 | − | 0.776870i | ||||
\(185\) | 1.05966 | + | 13.5793i | 0.0779081 | + | 0.998373i | ||||
\(186\) | 8.02987 | − | 0.122960i | 0.588778 | − | 0.00901586i | ||||
\(187\) | −1.54687 | − | 2.67926i | −0.113118 | − | 0.195927i | ||||
\(188\) | − | 12.0880i | − | 0.881610i | ||||||
\(189\) | 9.63777 | + | 9.80374i | 0.701045 | + | 0.713117i | ||||
\(190\) | −2.65954 | + | 1.82526i | −0.192943 | + | 0.132418i | ||||
\(191\) | −5.96653 | + | 3.44478i | −0.431723 | + | 0.249255i | −0.700080 | − | 0.714064i | \(-0.746853\pi\) |
0.268357 | + | 0.963319i | \(0.413519\pi\) | |||||||
\(192\) | −0.124924 | − | 8.15814i | −0.00901562 | − | 0.588763i | ||||
\(193\) | 17.0989 | + | 9.87208i | 1.23081 | + | 0.710608i | 0.967198 | − | 0.254022i | \(-0.0817535\pi\) |
0.263610 | + | 0.964629i | \(0.415087\pi\) | |||||||
\(194\) | 8.31012 | − | 14.3936i | 0.596632 | − | 1.03340i | ||||
\(195\) | −4.12041 | − | 1.89175i | −0.295068 | − | 0.135471i | ||||
\(196\) | −7.10240 | − | 5.20616i | −0.507314 | − | 0.371869i | ||||
\(197\) | 14.8453 | 1.05768 | 0.528842 | − | 0.848721i | \(-0.322627\pi\) | ||||
0.528842 | + | 0.848721i | \(0.322627\pi\) | |||||||
\(198\) | 2.46572 | + | 1.32463i | 0.175231 | + | 0.0941371i | ||||
\(199\) | 12.8149i | 0.908426i | 0.890893 | + | 0.454213i | \(0.150080\pi\) | ||||
−0.890893 | + | 0.454213i | \(0.849920\pi\) | |||||||
\(200\) | −13.8621 | + | 2.17672i | −0.980202 | + | 0.153918i | ||||
\(201\) | 3.20107 | − | 5.74583i | 0.225786 | − | 0.405279i | ||||
\(202\) | 2.32469 | − | 4.02648i | 0.163564 | − | 0.283302i | ||||
\(203\) | 4.84983 | − | 14.8197i | 0.340391 | − | 1.04014i | ||||
\(204\) | −3.02894 | + | 5.43686i | −0.212068 | + | 0.380656i | ||||
\(205\) | −1.38569 | + | 2.90020i | −0.0967804 | + | 0.202559i | ||||
\(206\) | −14.9443 | −1.04122 | ||||||||
\(207\) | 6.15585 | − | 11.4588i | 0.427861 | − | 0.796441i | ||||
\(208\) | 0.115493 | 0.00800802 | ||||||||
\(209\) | 0.906966 | + | 1.57091i | 0.0627362 | + | 0.108662i | ||||
\(210\) | 1.95275 | − | 8.60782i | 0.134753 | − | 0.593996i | ||||
\(211\) | −4.83474 | + | 8.37401i | −0.332837 | + | 0.576491i | −0.983067 | − | 0.183247i | \(-0.941339\pi\) |
0.650230 | + | 0.759738i | \(0.274673\pi\) | |||||||
\(212\) | −5.82623 | + | 10.0913i | −0.400147 | + | 0.693075i | ||||
\(213\) | −12.9086 | + | 0.197667i | −0.884484 | + | 0.0135439i | ||||
\(214\) | −4.97539 | − | 8.61763i | −0.340111 | − | 0.589089i | ||||
\(215\) | 8.20834 | − | 5.63343i | 0.559804 | − | 0.384197i | ||||
\(216\) | −0.669609 | − | 14.5671i | −0.0455611 | − | 0.991166i | ||||
\(217\) | −13.9364 | + | 2.93153i | −0.946063 | + | 0.199005i | ||||
\(218\) | 7.45282 | + | 12.9087i | 0.504769 | + | 0.874285i | ||||
\(219\) | −0.0300083 | − | 1.95968i | −0.00202777 | − | 0.132423i | ||||
\(220\) | 0.237045 | + | 3.03767i | 0.0159816 | + | 0.204800i | ||||
\(221\) | 2.89572 | + | 1.67184i | 0.194787 | + | 0.112460i | ||||
\(222\) | 4.66397 | + | 7.79994i | 0.313025 | + | 0.523498i | ||||
\(223\) | −0.910329 | − | 1.57674i | −0.0609601 | − | 0.105586i | 0.833935 | − | 0.551863i | \(-0.186083\pi\) |
−0.894895 | + | 0.446277i | \(0.852750\pi\) | |||||||
\(224\) | 3.10311 | + | 14.7521i | 0.207335 | + | 0.985665i | ||||
\(225\) | −14.7402 | + | 2.77951i | −0.982682 | + | 0.185301i | ||||
\(226\) | −4.64471 | −0.308962 | ||||||||
\(227\) | −7.63563 | + | 4.40843i | −0.506795 | + | 0.292598i | −0.731515 | − | 0.681825i | \(-0.761186\pi\) |
0.224720 | + | 0.974423i | \(0.427853\pi\) | |||||||
\(228\) | 1.77594 | − | 3.18776i | 0.117614 | − | 0.211114i | ||||
\(229\) | −13.7883 | − | 7.96066i | −0.911155 | − | 0.526055i | −0.0303522 | − | 0.999539i | \(-0.509663\pi\) |
−0.880803 | + | 0.473484i | \(0.842996\pi\) | |||||||
\(230\) | −8.32606 | + | 0.649725i | −0.549004 | + | 0.0428416i | ||||
\(231\) | −4.74049 | − | 1.47139i | −0.311902 | − | 0.0968103i | ||||
\(232\) | −14.3240 | + | 8.26994i | −0.940414 | + | 0.542948i | ||||
\(233\) | 13.5982 | 0.890847 | 0.445423 | − | 0.895320i | \(-0.353053\pi\) | ||||
0.445423 | + | 0.895320i | \(0.353053\pi\) | |||||||
\(234\) | −3.02372 | + | 0.0926252i | −0.197667 | + | 0.00605510i | ||||
\(235\) | −17.7151 | + | 12.1580i | −1.15561 | + | 0.793099i | ||||
\(236\) | −7.57557 | − | 13.1213i | −0.493128 | − | 0.854122i | ||||
\(237\) | 9.32604 | − | 5.57650i | 0.605791 | − | 0.362232i | ||||
\(238\) | −2.02459 | + | 6.18656i | −0.131235 | + | 0.401015i | ||||
\(239\) | 12.1584 | + | 7.01966i | 0.786462 | + | 0.454064i | 0.838715 | − | 0.544570i | \(-0.183307\pi\) |
−0.0522537 | + | 0.998634i | \(0.516640\pi\) | |||||||
\(240\) | 0.311692 | − | 0.221012i | 0.0201196 | − | 0.0142662i | ||||
\(241\) | 23.4330 | − | 13.5290i | 1.50945 | − | 0.871482i | 0.509512 | − | 0.860463i | \(-0.329826\pi\) |
0.999939 | − | 0.0110187i | \(-0.00350742\pi\) | |||||||
\(242\) | 8.46463 | 0.544127 | ||||||||
\(243\) | −1.19226 | − | 15.5428i | −0.0764834 | − | 0.997071i | ||||
\(244\) | − | 14.5998i | − | 0.934659i | ||||||
\(245\) | −0.486175 | + | 15.6449i | −0.0310606 | + | 0.999518i | ||||
\(246\) | 0.0328362 | + | 2.14436i | 0.00209356 | + | 0.136720i | ||||
\(247\) | −1.69783 | − | 0.980242i | −0.108030 | − | 0.0623713i | ||||
\(248\) | 13.0823 | + | 7.55305i | 0.830725 | + | 0.479619i | ||||
\(249\) | 3.21095 | + | 5.36993i | 0.203485 | + | 0.340305i | ||||
\(250\) | 6.61533 | + | 6.99891i | 0.418390 | + | 0.442650i | ||||
\(251\) | −3.10117 | −0.195744 | −0.0978719 | − | 0.995199i | \(-0.531204\pi\) | ||||
−0.0978719 | + | 0.995199i | \(0.531204\pi\) | |||||||
\(252\) | 2.35364 | + | 9.70387i | 0.148265 | + | 0.611287i | ||||
\(253\) | 4.69638i | 0.295259i | ||||||||
\(254\) | 3.30068 | − | 1.90565i | 0.207103 | − | 0.119571i | ||||
\(255\) | 11.0142 | − | 1.02939i | 0.689738 | − | 0.0644627i | ||||
\(256\) | 7.87102 | − | 13.6330i | 0.491939 | − | 0.852063i | ||||
\(257\) | −2.82082 | − | 1.62860i | −0.175958 | − | 0.101589i | 0.409434 | − | 0.912340i | \(-0.365726\pi\) |
−0.585392 | + | 0.810750i | \(0.699059\pi\) | |||||||
\(258\) | 3.23281 | − | 5.80280i | 0.201266 | − | 0.361267i | ||||
\(259\) | −10.7585 | − | 11.9994i | −0.668500 | − | 0.745604i | ||||
\(260\) | −1.86342 | − | 2.71514i | −0.115564 | − | 0.168386i | ||||
\(261\) | −15.0342 | + | 9.30513i | −0.930596 | + | 0.575973i | ||||
\(262\) | 14.3693 | 0.887736 | ||||||||
\(263\) | −0.134435 | − | 0.232848i | −0.00828959 | − | 0.0143580i | 0.861851 | − | 0.507162i | \(-0.169305\pi\) |
−0.870140 | + | 0.492804i | \(0.835972\pi\) | |||||||
\(264\) | 2.70199 | + | 4.51877i | 0.166296 | + | 0.278111i | ||||
\(265\) | 20.6489 | − | 1.61134i | 1.26845 | − | 0.0989836i | ||||
\(266\) | 1.18706 | − | 3.62733i | 0.0727835 | − | 0.222406i | ||||
\(267\) | −0.242918 | − | 15.8637i | −0.0148663 | − | 0.970843i | ||||
\(268\) | 4.13721 | − | 2.38862i | 0.252721 | − | 0.145908i | ||||
\(269\) | 17.9055 | 1.09172 | 0.545859 | − | 0.837877i | \(-0.316203\pi\) | ||||
0.545859 | + | 0.837877i | \(0.316203\pi\) | |||||||
\(270\) | −7.98315 | + | 6.03627i | −0.485839 | + | 0.367356i | ||||
\(271\) | − | 13.7292i | − | 0.833991i | −0.908908 | − | 0.416996i | \(-0.863083\pi\) | ||
0.908908 | − | 0.416996i | \(-0.136917\pi\) | |||||||
\(272\) | −0.244037 | + | 0.140895i | −0.0147969 | + | 0.00854301i | ||||
\(273\) | 5.23220 | − | 1.18453i | 0.316667 | − | 0.0716911i | ||||
\(274\) | −8.55512 | + | 14.8179i | −0.516834 | + | 0.895183i | ||||
\(275\) | 4.21332 | − | 3.40265i | 0.254073 | − | 0.205187i | ||||
\(276\) | 8.10865 | − | 4.84856i | 0.488083 | − | 0.291849i | ||||
\(277\) | 7.98974 | − | 4.61288i | 0.480057 | − | 0.277161i | −0.240383 | − | 0.970678i | \(-0.577273\pi\) |
0.720440 | + | 0.693517i | \(0.243940\pi\) | |||||||
\(278\) | 19.2121i | 1.15226i | ||||||||
\(279\) | 14.2254 | + | 7.64212i | 0.851653 | + | 0.457522i | ||||
\(280\) | 11.4620 | − | 12.0116i | 0.684988 | − | 0.717828i | ||||
\(281\) | 22.1999 | − | 12.8171i | 1.32434 | − | 0.764605i | 0.339918 | − | 0.940455i | \(-0.389601\pi\) |
0.984417 | + | 0.175850i | \(0.0562673\pi\) | |||||||
\(282\) | −6.97700 | + | 12.5235i | −0.415475 | + | 0.745765i | ||||
\(283\) | −5.75333 | + | 9.96506i | −0.342000 | + | 0.592361i | −0.984804 | − | 0.173669i | \(-0.944438\pi\) |
0.642804 | + | 0.766031i | \(0.277771\pi\) | |||||||
\(284\) | −8.12061 | − | 4.68843i | −0.481869 | − | 0.278207i | ||||
\(285\) | −6.45790 | + | 0.603553i | −0.382533 | + | 0.0357514i | ||||
\(286\) | 0.945892 | − | 0.546111i | 0.0559318 | − | 0.0322922i | ||||
\(287\) | −0.782859 | − | 3.72169i | −0.0462107 | − | 0.219684i | ||||
\(288\) | 8.08941 | − | 15.0580i | 0.476673 | − | 0.887302i | ||||
\(289\) | 8.84179 | 0.520106 | ||||||||
\(290\) | 10.2427 | + | 4.89385i | 0.601472 | + | 0.287377i | ||||
\(291\) | 28.6831 | − | 17.1510i | 1.68143 | − | 1.00541i | ||||
\(292\) | 0.711761 | − | 1.23281i | 0.0416527 | − | 0.0721445i | ||||
\(293\) | 3.81488 | + | 2.20252i | 0.222868 | + | 0.128673i | 0.607277 | − | 0.794490i | \(-0.292262\pi\) |
−0.384410 | + | 0.923163i | \(0.625595\pi\) | |||||||
\(294\) | 4.35337 | + | 9.49311i | 0.253894 | + | 0.553649i | ||||
\(295\) | −11.6099 | + | 24.2993i | −0.675956 | + | 1.41476i | ||||
\(296\) | 17.0947i | 0.993610i | ||||||||
\(297\) | 3.03494 | + | 4.73979i | 0.176105 | + | 0.275031i | ||||
\(298\) | − | 7.96949i | − | 0.461660i | ||||||
\(299\) | −2.53791 | − | 4.39578i | −0.146771 | − | 0.254215i | ||||
\(300\) | −10.2248 | − | 3.76170i | −0.590327 | − | 0.217182i | ||||
\(301\) | −3.66372 | + | 11.1953i | −0.211173 | + | 0.645286i | ||||
\(302\) | −7.74556 | + | 13.4157i | −0.445707 | + | 0.771987i | ||||
\(303\) | 8.02384 | − | 4.79785i | 0.460958 | − | 0.275629i | ||||
\(304\) | 0.143085 | − | 0.0826100i | 0.00820647 | − | 0.00473801i | ||||
\(305\) | −21.3962 | + | 14.6843i | −1.22514 | + | 0.840823i | ||||
\(306\) | 6.27613 | − | 3.88448i | 0.358782 | − | 0.222061i | ||||
\(307\) | 7.36693 | 0.420453 | 0.210226 | − | 0.977653i | \(-0.432580\pi\) | ||||
0.210226 | + | 0.977653i | \(0.432580\pi\) | |||||||
\(308\) | −2.40665 | − | 2.68424i | −0.137132 | − | 0.152949i | ||||
\(309\) | −26.2508 | − | 14.6246i | −1.49335 | − | 0.831966i | ||||
\(310\) | −0.806594 | − | 10.3363i | −0.0458115 | − | 0.587063i | ||||
\(311\) | −8.14412 | + | 14.1060i | −0.461811 | + | 0.799880i | −0.999051 | − | 0.0435492i | \(-0.986133\pi\) |
0.537240 | + | 0.843429i | \(0.319467\pi\) | |||||||
\(312\) | −4.97097 | − | 2.76939i | −0.281426 | − | 0.156786i | ||||
\(313\) | 13.1038 | + | 22.6965i | 0.740673 | + | 1.28288i | 0.952189 | + | 0.305508i | \(0.0988264\pi\) |
−0.211517 | + | 0.977374i | \(0.567840\pi\) | |||||||
\(314\) | 3.39989 | 0.191867 | ||||||||
\(315\) | 11.8539 | − | 13.2093i | 0.667889 | − | 0.744261i | ||||
\(316\) | 7.89225 | 0.443974 | ||||||||
\(317\) | −9.49482 | − | 16.4455i | −0.533282 | − | 0.923671i | −0.999244 | − | 0.0388670i | \(-0.987625\pi\) |
0.465962 | − | 0.884805i | \(-0.345708\pi\) | |||||||
\(318\) | 11.8607 | − | 7.09208i | 0.665113 | − | 0.397704i | ||||
\(319\) | 3.19183 | − | 5.52841i | 0.178708 | − | 0.309531i | ||||
\(320\) | −10.5014 | + | 0.819479i | −0.587047 | + | 0.0458103i | ||||
\(321\) | −0.306356 | − | 20.0065i | −0.0170991 | − | 1.11665i | ||||
\(322\) | 7.35731 | − | 6.59648i | 0.410007 | − | 0.367607i | ||||
\(323\) | 4.78335 | 0.266152 | ||||||||
\(324\) | 5.05031 | − | 10.1334i | 0.280573 | − | 0.562968i | ||||
\(325\) | −2.10486 | + | 5.46171i | −0.116757 | + | 0.302961i | ||||
\(326\) | 9.43794 | − | 5.44900i | 0.522719 | − | 0.301792i | ||||
\(327\) | 0.458902 | + | 29.9685i | 0.0253773 | + | 1.65726i | ||||
\(328\) | −2.01703 | + | 3.49360i | −0.111372 | + | 0.192902i | ||||
\(329\) | 7.90699 | − | 24.1615i | 0.435926 | − | 1.33207i | ||||
\(330\) | 1.50771 | − | 3.28393i | 0.0829966 | − | 0.180774i | ||||
\(331\) | 3.42267 | + | 5.92824i | 0.188127 | + | 0.325846i | 0.944626 | − | 0.328149i | \(-0.106425\pi\) |
−0.756499 | + | 0.653995i | \(0.773092\pi\) | |||||||
\(332\) | 4.54436i | 0.249404i | ||||||||
\(333\) | 0.559521 | + | 18.2654i | 0.0306616 | + | 1.00094i | ||||
\(334\) | − | 10.7455i | − | 0.587967i | ||||||
\(335\) | −7.66171 | − | 3.66068i | −0.418604 | − | 0.200004i | ||||
\(336\) | −0.134020 | + | 0.431782i | −0.00731138 | + | 0.0235557i | ||||
\(337\) | −3.12437 | − | 1.80386i | −0.170195 | − | 0.0982623i | 0.412483 | − | 0.910965i | \(-0.364662\pi\) |
−0.582678 | + | 0.812703i | \(0.697995\pi\) | |||||||
\(338\) | 5.00875 | − | 8.67541i | 0.272440 | − | 0.471880i | ||||
\(339\) | −8.15879 | − | 4.54536i | −0.443125 | − | 0.246870i | ||||
\(340\) | 7.24972 | + | 3.46384i | 0.393171 | + | 0.187853i | ||||
\(341\) | −5.83028 | −0.315727 | ||||||||
\(342\) | −3.67984 | + | 2.27756i | −0.198983 | + | 0.123156i | ||||
\(343\) | −10.7908 | − | 15.0519i | −0.582649 | − | 0.812724i | ||||
\(344\) | 10.8208 | − | 6.24739i | 0.583418 | − | 0.336837i | ||||
\(345\) | −15.2612 | − | 7.00667i | −0.821635 | − | 0.377227i | ||||
\(346\) | 3.38707 | + | 1.95553i | 0.182090 | + | 0.105130i | ||||
\(347\) | −4.56560 | + | 7.90786i | −0.245094 | + | 0.424516i | −0.962158 | − | 0.272492i | \(-0.912152\pi\) |
0.717064 | + | 0.697008i | \(0.245486\pi\) | |||||||
\(348\) | −12.8404 | + | 0.196624i | −0.688320 | + | 0.0105401i | ||||
\(349\) | −13.9418 | + | 8.04933i | −0.746290 | + | 0.430871i | −0.824352 | − | 0.566078i | \(-0.808460\pi\) |
0.0780620 | + | 0.996949i | \(0.475127\pi\) | |||||||
\(350\) | −11.2485 | − | 1.82124i | −0.601259 | − | 0.0973495i | ||||
\(351\) | −5.40205 | − | 2.79634i | −0.288340 | − | 0.149258i | ||||
\(352\) | 6.17153i | 0.328943i | ||||||||
\(353\) | −0.0335173 | + | 0.0193512i | −0.00178395 | + | 0.00102996i | −0.500892 | − | 0.865510i | \(-0.666995\pi\) |
0.499108 | + | 0.866540i | \(0.333661\pi\) | |||||||
\(354\) | 0.275118 | + | 17.9665i | 0.0146223 | + | 0.954908i | ||||
\(355\) | 1.29666 | + | 16.6164i | 0.0688197 | + | 0.881907i | ||||
\(356\) | 5.76173 | − | 9.97960i | 0.305371 | − | 0.528918i | ||||
\(357\) | −9.61058 | + | 8.88589i | −0.508646 | + | 0.470291i | ||||
\(358\) | 10.3056 | − | 5.94992i | 0.544666 | − | 0.314463i | ||||
\(359\) | − | 15.2509i | − | 0.804911i | −0.915440 | − | 0.402455i | \(-0.868157\pi\) | ||
0.915440 | − | 0.402455i | \(-0.131843\pi\) | |||||||
\(360\) | −18.7152 | + | 2.03862i | −0.986378 | + | 0.107444i | ||||
\(361\) | 16.1954 | 0.852390 | ||||||||
\(362\) | 9.75629 | − | 5.63280i | 0.512779 | − | 0.296053i | ||||
\(363\) | 14.8688 | + | 8.28357i | 0.780408 | + | 0.434775i | ||||
\(364\) | 3.70316 | + | 1.21188i | 0.194098 | + | 0.0635198i | ||||
\(365\) | −2.52257 | + | 0.196849i | −0.132037 | + | 0.0103035i | ||||
\(366\) | −8.42678 | + | 15.1258i | −0.440475 | + | 0.790640i | ||||
\(367\) | −9.67829 | − | 16.7633i | −0.505203 | − | 0.875037i | −0.999982 | − | 0.00601803i | \(-0.998084\pi\) |
0.494779 | − | 0.869019i | \(-0.335249\pi\) | |||||||
\(368\) | 0.427765 | 0.0222988 | ||||||||
\(369\) | −2.04081 | + | 3.79887i | −0.106241 | + | 0.197761i | ||||
\(370\) | 9.67351 | − | 6.63899i | 0.502902 | − | 0.345145i | ||||
\(371\) | −18.2464 | + | 16.3595i | −0.947303 | + | 0.849341i | ||||
\(372\) | 6.01920 | + | 10.0664i | 0.312081 | + | 0.521918i | ||||
\(373\) | 12.3657 | + | 7.13934i | 0.640272 | + | 0.369661i | 0.784719 | − | 0.619851i | \(-0.212807\pi\) |
−0.144447 | + | 0.989512i | \(0.546140\pi\) | |||||||
\(374\) | −1.33245 | + | 2.30787i | −0.0688992 | + | 0.119337i | ||||
\(375\) | 4.77113 | + | 18.7680i | 0.246380 | + | 0.969173i | ||||
\(376\) | −23.3533 | + | 13.4830i | −1.20435 | + | 0.695334i | ||||
\(377\) | 6.89940i | 0.355337i | ||||||||
\(378\) | 3.16248 | − | 11.4120i | 0.162660 | − | 0.586968i | ||||
\(379\) | −3.44813 | −0.177119 | −0.0885593 | − | 0.996071i | \(-0.528226\pi\) | ||||
−0.0885593 | + | 0.996071i | \(0.528226\pi\) | |||||||
\(380\) | −4.25068 | − | 2.03093i | −0.218055 | − | 0.104184i | ||||
\(381\) | 7.66278 | − | 0.117339i | 0.392576 | − | 0.00601145i | ||||
\(382\) | 5.13946 | + | 2.96727i | 0.262958 | + | 0.151819i | ||||
\(383\) | 8.42092 | + | 4.86182i | 0.430289 | + | 0.248427i | 0.699470 | − | 0.714662i | \(-0.253420\pi\) |
−0.269181 | + | 0.963090i | \(0.586753\pi\) | |||||||
\(384\) | 10.9082 | − | 6.52258i | 0.556659 | − | 0.332854i | ||||
\(385\) | −1.51319 | + | 6.22674i | −0.0771193 | + | 0.317344i | ||||
\(386\) | − | 17.0073i | − | 0.865647i | ||||||
\(387\) | 11.3574 | − | 7.02941i | 0.577327 | − | 0.357325i | ||||
\(388\) | 24.2733 | 1.23229 | ||||||||
\(389\) | −12.2161 | + | 7.05295i | −0.619379 | + | 0.357599i | −0.776627 | − | 0.629960i | \(-0.783071\pi\) |
0.157248 | + | 0.987559i | \(0.449738\pi\) | |||||||
\(390\) | 0.363417 | + | 3.88850i | 0.0184023 | + | 0.196902i | ||||
\(391\) | 10.7252 | + | 6.19219i | 0.542396 | + | 0.313152i | ||||
\(392\) | −2.13593 | + | 19.5283i | −0.107881 | + | 0.986330i | ||||
\(393\) | 25.2407 | + | 14.0619i | 1.27323 | + | 0.709329i | ||||
\(394\) | −6.39373 | − | 11.0743i | −0.322112 | − | 0.557914i | ||||
\(395\) | −7.93793 | − | 11.5662i | −0.399401 | − | 0.581957i | ||||
\(396\) | 0.125164 | + | 4.08594i | 0.00628972 | + | 0.205326i | ||||
\(397\) | −27.9656 | −1.40355 | −0.701777 | − | 0.712396i | \(-0.747610\pi\) | ||||
−0.701777 | + | 0.712396i | \(0.747610\pi\) | |||||||
\(398\) | 9.55967 | − | 5.51928i | 0.479183 | − | 0.276656i | ||||
\(399\) | 5.63491 | − | 5.21001i | 0.282098 | − | 0.260826i | ||||
\(400\) | −0.309926 | − | 0.383766i | −0.0154963 | − | 0.0191883i | ||||
\(401\) | −30.3566 | − | 17.5264i | −1.51594 | − | 0.875226i | −0.999825 | − | 0.0187045i | \(-0.994046\pi\) |
−0.516111 | − | 0.856522i | \(-0.672621\pi\) | |||||||
\(402\) | −5.66494 | + | 0.0867462i | −0.282541 | + | 0.00432651i | ||||
\(403\) | 5.45710 | − | 3.15066i | 0.271838 | − | 0.156945i | ||||
\(404\) | 6.79026 | 0.337828 | ||||||||
\(405\) | −19.9302 | + | 2.79079i | −0.990338 | + | 0.138675i | ||||
\(406\) | −13.1440 | + | 2.76484i | −0.652323 | + | 0.137217i | ||||
\(407\) | −3.29889 | − | 5.71385i | −0.163520 | − | 0.283225i | ||||
\(408\) | 13.8822 | − | 0.212575i | 0.687269 | − | 0.0105240i | ||||
\(409\) | −2.68401 | − | 1.54961i | −0.132716 | − | 0.0766234i | 0.432172 | − | 0.901791i | \(-0.357747\pi\) |
−0.564888 | + | 0.825168i | \(0.691081\pi\) | |||||||
\(410\) | 2.76029 | − | 0.215400i | 0.136321 | − | 0.0106378i | ||||
\(411\) | −29.5287 | + | 17.6567i | −1.45654 | + | 0.870939i | ||||
\(412\) | −10.9128 | − | 18.9016i | −0.537636 | − | 0.931213i | ||||
\(413\) | −6.55917 | − | 31.1821i | −0.322755 | − | 1.53437i | ||||
\(414\) | −11.1993 | + | 0.343066i | −0.550415 | + | 0.0168608i | ||||
\(415\) | 6.65980 | − | 4.57066i | 0.326917 | − | 0.224365i | ||||
\(416\) | −3.33507 | − | 5.77651i | −0.163515 | − | 0.283217i | ||||
\(417\) | −18.8011 | + | 33.7475i | −0.920695 | + | 1.65262i | ||||
\(418\) | 0.781244 | − | 1.35316i | 0.0382119 | − | 0.0661850i | ||||
\(419\) | −3.42407 | + | 5.93067i | −0.167277 | + | 0.289732i | −0.937462 | − | 0.348089i | \(-0.886831\pi\) |
0.770185 | + | 0.637821i | \(0.220164\pi\) | |||||||
\(420\) | 12.3132 | − | 3.81588i | 0.600820 | − | 0.186196i | ||||
\(421\) | 6.20547 | + | 10.7482i | 0.302436 | + | 0.523834i | 0.976687 | − | 0.214668i | \(-0.0688668\pi\) |
−0.674251 | + | 0.738502i | \(0.735533\pi\) | |||||||
\(422\) | 8.32911 | 0.405455 | ||||||||
\(423\) | −24.5113 | + | 15.1708i | −1.19178 | + | 0.737627i | ||||
\(424\) | 25.9944 | 1.26240 | ||||||||
\(425\) | −2.21539 | − | 14.1084i | −0.107462 | − | 0.684358i | ||||
\(426\) | 5.70708 | + | 9.54443i | 0.276509 | + | 0.462429i | ||||
\(427\) | 9.55001 | − | 29.1821i | 0.462157 | − | 1.41222i | ||||
\(428\) | 7.26639 | − | 12.5858i | 0.351234 | − | 0.608356i | ||||
\(429\) | 2.19596 | − | 0.0336264i | 0.106022 | − | 0.00162350i | ||||
\(430\) | −7.73768 | − | 3.69698i | −0.373144 | − | 0.178284i | ||||
\(431\) | 0.948558i | 0.0456904i | 0.999739 | + | 0.0228452i | \(0.00727249\pi\) | ||||
−0.999739 | + | 0.0228452i | \(0.992728\pi\) | |||||||
\(432\) | 0.431718 | − | 0.276434i | 0.0207711 | − | 0.0132999i | ||||
\(433\) | −7.00223 | −0.336506 | −0.168253 | − | 0.985744i | \(-0.553813\pi\) | ||||
−0.168253 | + | 0.985744i | \(0.553813\pi\) | |||||||
\(434\) | 8.18913 | + | 9.13366i | 0.393091 | + | 0.438430i | ||||
\(435\) | 13.2029 | + | 18.6200i | 0.633031 | + | 0.892762i | ||||
\(436\) | −10.8846 | + | 18.8527i | −0.521278 | + | 0.902880i | ||||
\(437\) | −6.28843 | − | 3.63062i | −0.300816 | − | 0.173676i | ||||
\(438\) | −1.44896 | + | 0.866404i | −0.0692339 | + | 0.0413984i | ||||
\(439\) | −18.8107 | + | 10.8604i | −0.897787 | + | 0.518337i | −0.876481 | − | 0.481436i | \(-0.840115\pi\) |
−0.0213052 | + | 0.999773i | \(0.506782\pi\) | |||||||
\(440\) | 5.60419 | − | 3.84619i | 0.267169 | − | 0.183360i | ||||
\(441\) | −1.64303 | + | 20.9356i | −0.0782396 | + | 0.996935i | ||||
\(442\) | − | 2.88019i | − | 0.136997i | ||||||
\(443\) | 6.00689 | + | 10.4042i | 0.285396 | + | 0.494321i | 0.972705 | − | 0.232045i | \(-0.0745415\pi\) |
−0.687309 | + | 0.726365i | \(0.741208\pi\) | |||||||
\(444\) | −6.45959 | + | 11.5948i | −0.306559 | + | 0.550264i | ||||
\(445\) | −20.4203 | + | 1.59350i | −0.968014 | + | 0.0755390i | ||||
\(446\) | −0.784141 | + | 1.35817i | −0.0371302 | + | 0.0643113i | ||||
\(447\) | 7.79902 | − | 13.9990i | 0.368881 | − | 0.662131i | ||||
\(448\) | 9.27957 | − | 8.31995i | 0.438418 | − | 0.393081i | ||||
\(449\) | − | 27.9268i | − | 1.31795i | −0.752166 | − | 0.658974i | \(-0.770991\pi\) | ||
0.752166 | − | 0.658974i | \(-0.229009\pi\) | |||||||
\(450\) | 8.42194 | + | 9.79879i | 0.397014 | + | 0.461919i | ||||
\(451\) | − | 1.55697i | − | 0.0733146i | ||||||
\(452\) | −3.39172 | − | 5.87464i | −0.159533 | − | 0.276320i | ||||
\(453\) | −26.7344 | + | 15.9858i | −1.25609 | + | 0.751079i | ||||
\(454\) | 6.57720 | + | 3.79735i | 0.308683 | + | 0.178218i | ||||
\(455\) | −1.94857 | − | 6.64591i | −0.0913504 | − | 0.311565i | ||||
\(456\) | −8.13943 | + | 0.124638i | −0.381164 | + | 0.00583669i | ||||
\(457\) | 9.20125 | − | 5.31234i | 0.430416 | − | 0.248501i | −0.269108 | − | 0.963110i | \(-0.586729\pi\) |
0.699524 | + | 0.714609i | \(0.253395\pi\) | |||||||
\(458\) | 13.7143i | 0.640829i | ||||||||
\(459\) | 14.8259 | − | 0.681505i | 0.692013 | − | 0.0318099i | ||||
\(460\) | −6.90174 | − | 10.0564i | −0.321795 | − | 0.468880i | ||||
\(461\) | 12.3743 | + | 21.4329i | 0.576327 | + | 0.998228i | 0.995896 | + | 0.0905045i | \(0.0288480\pi\) |
−0.419569 | + | 0.907724i | \(0.637819\pi\) | |||||||
\(462\) | 0.944062 | + | 4.17002i | 0.0439218 | + | 0.194007i | ||||
\(463\) | −32.3275 | − | 18.6643i | −1.50239 | − | 0.867403i | −0.999996 | − | 0.00276150i | \(-0.999121\pi\) |
−0.502390 | − | 0.864641i | \(-0.667546\pi\) | |||||||
\(464\) | −0.503549 | − | 0.290724i | −0.0233767 | − | 0.0134965i | ||||
\(465\) | 8.69837 | − | 18.9459i | 0.403377 | − | 0.878593i | ||||
\(466\) | −5.85662 | − | 10.1440i | −0.271303 | − | 0.469910i | ||||
\(467\) | 11.8237i | 0.547137i | 0.961853 | + | 0.273568i | \(0.0882040\pi\) | ||||
−0.961853 | + | 0.273568i | \(0.911796\pi\) | |||||||
\(468\) | −2.32518 | − | 3.75677i | −0.107481 | − | 0.173657i | ||||
\(469\) | 9.83189 | − | 2.06814i | 0.453994 | − | 0.0954980i | ||||
\(470\) | 16.6993 | + | 7.97876i | 0.770283 | + | 0.368033i | ||||
\(471\) | 5.97216 | + | 3.32716i | 0.275183 | + | 0.153308i | ||||
\(472\) | −16.8996 | + | 29.2710i | −0.777869 | + | 1.34731i | ||||
\(473\) | −2.41121 | + | 4.17634i | −0.110868 | + | 0.192028i | ||||
\(474\) | −8.17659 | − | 4.55528i | −0.375563 | − | 0.209231i | ||||
\(475\) | 1.29894 | + | 8.27209i | 0.0595993 | + | 0.379549i | ||||
\(476\) | −9.30320 | + | 1.95693i | −0.426412 | + | 0.0896959i | ||||
\(477\) | 27.7746 | − | 0.850813i | 1.27171 | − | 0.0389561i | ||||
\(478\) | − | 12.0932i | − | 0.553131i | ||||||
\(479\) | −19.1743 | − | 33.2108i | −0.876095 | − | 1.51744i | −0.855592 | − | 0.517652i | \(-0.826806\pi\) |
−0.0205036 | − | 0.999790i | \(-0.506527\pi\) | |||||||
\(480\) | −20.0548 | − | 9.20748i | −0.915370 | − | 0.420262i | ||||
\(481\) | 6.17549 | + | 3.56542i | 0.281578 | + | 0.162569i | ||||
\(482\) | −20.1848 | − | 11.6537i | −0.919391 | − | 0.530810i | ||||
\(483\) | 19.3791 | − | 4.38728i | 0.881778 | − | 0.199628i | ||||
\(484\) | 6.18116 | + | 10.7061i | 0.280962 | + | 0.486640i | ||||
\(485\) | −24.4138 | − | 35.5728i | −1.10857 | − | 1.61528i | ||||
\(486\) | −11.0811 | + | 7.58354i | −0.502649 | + | 0.343997i | ||||
\(487\) | − | 33.1836i | − | 1.50369i | −0.659338 | − | 0.751847i | \(-0.729163\pi\) | ||
0.659338 | − | 0.751847i | \(-0.270837\pi\) | |||||||
\(488\) | −28.2059 | + | 16.2847i | −1.27682 | + | 0.737174i | ||||
\(489\) | 21.9109 | − | 0.335518i | 0.990845 | − | 0.0151726i | ||||
\(490\) | 11.8802 | − | 6.37545i | 0.536692 | − | 0.288014i | ||||
\(491\) | 10.6956 | + | 6.17510i | 0.482685 | + | 0.278678i | 0.721535 | − | 0.692378i | \(-0.243437\pi\) |
−0.238850 | + | 0.971057i | \(0.576770\pi\) | |||||||
\(492\) | −2.68821 | + | 1.60742i | −0.121194 | + | 0.0724679i | ||||
\(493\) | −8.41686 | − | 14.5784i | −0.379076 | − | 0.656579i | ||||
\(494\) | 1.68873i | 0.0759793i | ||||||||
\(495\) | 5.86209 | − | 4.29302i | 0.263482 | − | 0.192957i | ||||
\(496\) | 0.531044i | 0.0238446i | ||||||||
\(497\) | −13.1647 | − | 14.6831i | −0.590515 | − | 0.658625i | ||||
\(498\) | 2.62293 | − | 4.70808i | 0.117536 | − | 0.210974i | ||||
\(499\) | −0.754345 | + | 1.30656i | −0.0337691 | + | 0.0584898i | −0.882416 | − | 0.470470i | \(-0.844084\pi\) |
0.848647 | + | 0.528960i | \(0.177418\pi\) | |||||||
\(500\) | −4.02150 | + | 13.4779i | −0.179847 | + | 0.602751i | ||||
\(501\) | 10.5156 | − | 18.8753i | 0.469804 | − | 0.843285i | ||||
\(502\) | 1.33564 | + | 2.31340i | 0.0596127 | + | 0.103252i | ||||
\(503\) | − | 37.6353i | − | 1.67807i | −0.544074 | − | 0.839037i | \(-0.683119\pi\) | ||
0.544074 | − | 0.839037i | \(-0.316881\pi\) | |||||||
\(504\) | 16.1220 | − | 15.3708i | 0.718131 | − | 0.684670i | ||||
\(505\) | −6.82956 | − | 9.95119i | −0.303911 | − | 0.442822i | ||||
\(506\) | 3.50340 | − | 2.02269i | 0.155745 | − | 0.0899195i | ||||
\(507\) | 17.2881 | − | 10.3374i | 0.767792 | − | 0.459101i | ||||
\(508\) | 4.82053 | + | 2.78314i | 0.213877 | + | 0.123482i | ||||
\(509\) | −13.3960 | + | 23.2025i | −0.593766 | + | 1.02843i | 0.399954 | + | 0.916535i | \(0.369026\pi\) |
−0.993720 | + | 0.111897i | \(0.964307\pi\) | |||||||
\(510\) | −5.51164 | − | 7.77304i | −0.244059 | − | 0.344196i | ||||
\(511\) | 2.22907 | − | 1.99855i | 0.0986080 | − | 0.0884108i | ||||
\(512\) | 1.11587 | 0.0493149 | ||||||||
\(513\) | −8.69277 | + | 0.399582i | −0.383795 | + | 0.0176420i | ||||
\(514\) | 2.80569i | 0.123754i | ||||||||
\(515\) | −16.7244 | + | 35.0038i | −0.736966 | + | 1.54245i | ||||
\(516\) | 9.70011 | − | 0.148536i | 0.427023 | − | 0.00653893i | ||||
\(517\) | 5.20384 | − | 9.01332i | 0.228865 | − | 0.396405i | ||||
\(518\) | −4.31769 | + | 13.1936i | −0.189708 | + | 0.579695i | ||||
\(519\) | 4.03595 | + | 6.74965i | 0.177159 | + | 0.296277i | ||||
\(520\) | −3.16702 | + | 6.62848i | −0.138883 | + | 0.290678i | ||||
\(521\) | 26.3458 | 1.15423 | 0.577115 | − | 0.816663i | \(-0.304178\pi\) | ||||
0.577115 | + | 0.816663i | \(0.304178\pi\) | |||||||
\(522\) | 13.4165 | + | 7.20759i | 0.587226 | + | 0.315467i | ||||
\(523\) | 35.7678 | 1.56402 | 0.782009 | − | 0.623267i | \(-0.214195\pi\) | ||||
0.782009 | + | 0.623267i | \(0.214195\pi\) | |||||||
\(524\) | 10.4929 | + | 18.1743i | 0.458385 | + | 0.793947i | ||||
\(525\) | −17.9766 | − | 14.2071i | −0.784564 | − | 0.620048i | ||||
\(526\) | −0.115800 | + | 0.200571i | −0.00504910 | + | 0.00874530i | ||||
\(527\) | −7.68723 | + | 13.3147i | −0.334861 | + | 0.579996i | ||||
\(528\) | −0.0900783 | + | 0.161688i | −0.00392015 | + | 0.00703656i | ||||
\(529\) | 2.10009 | + | 3.63746i | 0.0913083 | + | 0.158151i | ||||
\(530\) | −10.0953 | − | 14.7096i | −0.438512 | − | 0.638946i | ||||
\(531\) | −17.0989 | + | 31.8287i | −0.742030 | + | 1.38125i | ||||
\(532\) | 5.45468 | − | 1.14740i | 0.236491 | − | 0.0497459i | ||||
\(533\) | 0.841378 | + | 1.45731i | 0.0364441 | + | 0.0631231i | ||||
\(534\) | −11.7294 | + | 7.01357i | −0.507579 | + | 0.303507i | ||||
\(535\) | −25.7530 | + | 2.00964i | −1.11340 | + | 0.0868842i | ||||
\(536\) | −9.22933 | − | 5.32855i | −0.398646 | − | 0.230158i | ||||
\(537\) | 23.9252 | − | 0.366362i | 1.03245 | − | 0.0158097i | ||||
\(538\) | −7.71174 | − | 13.3571i | −0.332477 | − | 0.575867i | ||||
\(539\) | −3.05460 | − | 6.93948i | −0.131571 | − | 0.298904i | ||||
\(540\) | −13.4643 | − | 5.68921i | −0.579409 | − | 0.244825i | ||||
\(541\) | 14.9279 | 0.641801 | 0.320901 | − | 0.947113i | \(-0.396014\pi\) | ||||
0.320901 | + | 0.947113i | \(0.396014\pi\) | |||||||
\(542\) | −10.2417 | + | 5.91306i | −0.439919 | + | 0.253988i | ||||
\(543\) | 22.6500 | − | 0.346835i | 0.972004 | − | 0.0148841i | ||||
\(544\) | 14.0940 | + | 8.13717i | 0.604275 | + | 0.348878i | ||||
\(545\) | 38.5764 | − | 3.01031i | 1.65243 | − | 0.128948i | ||||
\(546\) | −3.13710 | − | 3.39295i | −0.134255 | − | 0.145205i | ||||
\(547\) | −6.29286 | + | 3.63319i | −0.269063 | + | 0.155344i | −0.628462 | − | 0.777840i | \(-0.716315\pi\) |
0.359399 | + | 0.933184i | \(0.382982\pi\) | |||||||
\(548\) | −24.9890 | −1.06748 | ||||||||
\(549\) | −29.6046 | + | 18.3231i | −1.26349 | + | 0.782013i | ||||
\(550\) | −4.35294 | − | 1.67756i | −0.185610 | − | 0.0715314i | ||||
\(551\) | 4.93500 | + | 8.54767i | 0.210238 | + | 0.364143i | ||||
\(552\) | −18.4115 | − | 10.2573i | −0.783646 | − | 0.436579i | ||||
\(553\) | 15.7750 | + | 5.16246i | 0.670822 | + | 0.219530i | ||||
\(554\) | −6.88222 | − | 3.97345i | −0.292398 | − | 0.168816i | ||||
\(555\) | 23.4892 | − | 2.19529i | 0.997063 | − | 0.0931851i | ||||
\(556\) | −24.2994 | + | 14.0293i | −1.03053 | + | 0.594975i | ||||
\(557\) | −9.15146 | −0.387760 | −0.193880 | − | 0.981025i | \(-0.562107\pi\) | ||||
−0.193880 | + | 0.981025i | \(0.562107\pi\) | |||||||
\(558\) | −0.425896 | − | 13.9032i | −0.0180296 | − | 0.588571i | ||||
\(559\) | − | 5.21204i | − | 0.220446i | ||||||
\(560\) | 0.567156 | + | 0.137827i | 0.0239667 | + | 0.00582426i | ||||
\(561\) | −4.59904 | + | 2.75000i | −0.194172 | + | 0.116105i | ||||
\(562\) | −19.1226 | − | 11.0404i | −0.806638 | − | 0.465713i | ||||
\(563\) | −27.9044 | − | 16.1106i | −1.17603 | − | 0.678981i | −0.220937 | − | 0.975288i | \(-0.570912\pi\) |
−0.955093 | + | 0.296307i | \(0.904245\pi\) | |||||||
\(564\) | −20.9346 | + | 0.320568i | −0.881506 | + | 0.0134983i | ||||
\(565\) | −5.19798 | + | 10.8792i | −0.218681 | + | 0.457693i | ||||
\(566\) | 9.91163 | 0.416617 | ||||||||
\(567\) | 16.7230 | − | 16.9511i | 0.702300 | − | 0.711881i | ||||
\(568\) | 20.9180i | 0.877699i | ||||||||
\(569\) | −0.103976 | + | 0.0600303i | −0.00435888 | + | 0.00251660i | −0.502178 | − | 0.864764i | \(-0.667468\pi\) |
0.497819 | + | 0.867281i | \(0.334134\pi\) | |||||||
\(570\) | 3.23160 | + | 4.55752i | 0.135357 | + | 0.190893i | ||||
\(571\) | 14.2444 | − | 24.6720i | 0.596109 | − | 1.03249i | −0.397280 | − | 0.917697i | \(-0.630046\pi\) |
0.993389 | − | 0.114794i | \(-0.0366208\pi\) | |||||||
\(572\) | 1.38144 | + | 0.797578i | 0.0577611 | + | 0.0333484i | ||||
\(573\) | 6.12406 | + | 10.2418i | 0.255836 | + | 0.427856i | ||||
\(574\) | −2.43913 | + | 2.18689i | −0.101807 | + | 0.0912792i | ||||
\(575\) | −7.79601 | + | 20.2291i | −0.325116 | + | 0.843613i | ||||
\(576\) | −14.1253 | + | 0.432699i | −0.588556 | + | 0.0180291i | ||||
\(577\) | 37.1817 | 1.54789 | 0.773947 | − | 0.633251i | \(-0.218280\pi\) | ||||
0.773947 | + | 0.633251i | \(0.218280\pi\) | |||||||
\(578\) | −3.80808 | − | 6.59579i | −0.158395 | − | 0.274349i | ||||
\(579\) | 16.6435 | − | 29.8746i | 0.691679 | − | 1.24154i | ||||
\(580\) | 1.28981 | + | 16.5286i | 0.0535566 | + | 0.686314i | ||||
\(581\) | −2.97254 | + | 9.08324i | −0.123322 | + | 0.376836i | ||||
\(582\) | −25.1478 | − | 14.0102i | −1.04241 | − | 0.580740i | ||||
\(583\) | −8.68854 | + | 5.01633i | −0.359843 | + | 0.207755i | ||||
\(584\) | −3.17560 | −0.131407 | ||||||||
\(585\) | −3.16695 | + | 7.18609i | −0.130937 | + | 0.297108i | ||||
\(586\) | − | 3.79442i | − | 0.156746i | ||||||
\(587\) | −15.1312 | + | 8.73600i | −0.624532 | + | 0.360573i | −0.778631 | − | 0.627482i | \(-0.784086\pi\) |
0.154100 | + | 0.988055i | \(0.450752\pi\) | |||||||
\(588\) | −8.82793 | + | 12.4383i | −0.364058 | + | 0.512948i | ||||
\(589\) | 4.50720 | − | 7.80670i | 0.185716 | − | 0.321670i | ||||
\(590\) | 23.1270 | − | 1.80472i | 0.952125 | − | 0.0742992i | ||||
\(591\) | −0.393689 | − | 25.7098i | −0.0161942 | − | 1.05756i | ||||
\(592\) | −0.520440 | + | 0.300476i | −0.0213899 | + | 0.0123495i | ||||
\(593\) | 46.2567i | 1.89953i | 0.312958 | + | 0.949767i | \(0.398680\pi\) | ||||
−0.312958 | + | 0.949767i | \(0.601320\pi\) | |||||||
\(594\) | 2.22866 | − | 4.30539i | 0.0914431 | − | 0.176652i | ||||
\(595\) | 12.2250 | + | 11.6657i | 0.501174 | + | 0.478246i | ||||
\(596\) | 10.0798 | − | 5.81959i | 0.412886 | − | 0.238380i | ||||
\(597\) | 22.1935 | − | 0.339845i | 0.908320 | − | 0.0139089i | ||||
\(598\) | −2.18611 | + | 3.78645i | −0.0893966 | + | 0.154839i | ||||
\(599\) | 0.819835 | + | 0.473332i | 0.0334975 | + | 0.0193398i | 0.516655 | − | 0.856194i | \(-0.327177\pi\) |
−0.483158 | + | 0.875533i | \(0.660510\pi\) | |||||||
\(600\) | 4.13737 | + | 23.9494i | 0.168907 | + | 0.977730i | ||||
\(601\) | 14.7403 | − | 8.51032i | 0.601270 | − | 0.347143i | −0.168271 | − | 0.985741i | \(-0.553818\pi\) |
0.769541 | + | 0.638598i | \(0.220485\pi\) | |||||||
\(602\) | 9.92938 | − | 2.08865i | 0.404691 | − | 0.0851271i | ||||
\(603\) | −10.0358 | − | 5.39139i | −0.408689 | − | 0.219554i | ||||
\(604\) | −22.6243 | −0.920568 | ||||||||
\(605\) | 9.47293 | − | 19.8266i | 0.385129 | − | 0.806065i | ||||
\(606\) | −7.03489 | − | 3.91922i | −0.285773 | − | 0.159208i | ||||
\(607\) | −5.22945 | + | 9.05768i | −0.212257 | + | 0.367640i | −0.952421 | − | 0.304787i | \(-0.901415\pi\) |
0.740164 | + | 0.672427i | \(0.234748\pi\) | |||||||
\(608\) | −8.26363 | − | 4.77101i | −0.335135 | − | 0.193490i | ||||
\(609\) | −25.7941 | − | 8.00615i | −1.04523 | − | 0.324426i | ||||
\(610\) | 20.1694 | + | 9.63670i | 0.816633 | + | 0.390179i | ||||
\(611\) | 11.2485i | 0.455067i | ||||||||
\(612\) | 9.49614 | + | 5.10148i | 0.383859 | + | 0.206215i | ||||
\(613\) | − | 18.4598i | − | 0.745583i | −0.927915 | − | 0.372792i | \(-0.878401\pi\) | ||
0.927915 | − | 0.372792i | \(-0.121599\pi\) | |||||||
\(614\) | −3.17287 | − | 5.49557i | −0.128047 | − | 0.221783i | ||||
\(615\) | 5.05946 | + | 2.32288i | 0.204017 | + | 0.0936677i | ||||
\(616\) | −2.50138 | + | 7.64351i | −0.100784 | + | 0.307966i | ||||
\(617\) | −9.92135 | + | 17.1843i | −0.399419 | + | 0.691813i | −0.993654 | − | 0.112478i | \(-0.964121\pi\) |
0.594236 | + | 0.804291i | \(0.297455\pi\) | |||||||
\(618\) | 0.396315 | + | 25.8812i | 0.0159421 | + | 1.04110i | ||||
\(619\) | 18.4929 | − | 10.6769i | 0.743291 | − | 0.429139i | −0.0799736 | − | 0.996797i | \(-0.525484\pi\) |
0.823265 | + | 0.567658i | \(0.192150\pi\) | |||||||
\(620\) | 12.4844 | − | 8.56810i | 0.501385 | − | 0.344103i | ||||
\(621\) | −20.0081 | − | 10.3571i | −0.802899 | − | 0.415617i | ||||
\(622\) | 14.0304 | 0.562568 | ||||||||
\(623\) | 18.0444 | − | 16.1783i | 0.722932 | − | 0.648172i | ||||
\(624\) | −0.00306282 | − | 0.200017i | −0.000122611 | − | 0.00800708i | ||||
\(625\) | 23.7968 | − | 7.66238i | 0.951872 | − | 0.306495i | ||||
\(626\) | 11.2874 | − | 19.5504i | 0.451136 | − | 0.781390i | ||||
\(627\) | 2.69653 | − | 1.61239i | 0.107689 | − | 0.0643925i | ||||
\(628\) | 2.48271 | + | 4.30018i | 0.0990710 | + | 0.171596i | ||||
\(629\) | −17.3984 | −0.693719 | ||||||||
\(630\) | −14.9592 | − | 3.15359i | −0.595990 | − | 0.125642i | ||||
\(631\) | 17.1185 | 0.681475 | 0.340738 | − | 0.940158i | \(-0.389323\pi\) | ||||
0.340738 | + | 0.940158i | \(0.389323\pi\) | |||||||
\(632\) | −8.80305 | − | 15.2473i | −0.350166 | − | 0.606506i | ||||
\(633\) | 14.6307 | + | 8.15095i | 0.581519 | + | 0.323971i | ||||
\(634\) | −8.17867 | + | 14.1659i | −0.324816 | + | 0.562598i | ||||
\(635\) | −0.769721 | − | 9.86378i | −0.0305454 | − | 0.391432i | ||||
\(636\) | 17.6311 | + | 9.82252i | 0.699120 | + | 0.389488i | ||||
\(637\) | 6.60915 | + | 4.84461i | 0.261864 | + | 0.191950i | ||||
\(638\) | −5.49877 | −0.217698 | ||||||||
\(639\) | 0.684660 | + | 22.3505i | 0.0270847 | + | 0.884173i | ||||
\(640\) | −9.28465 | − | 13.5284i | −0.367008 | − | 0.534758i | ||||
\(641\) | 8.64424 | − | 4.99076i | 0.341427 | − | 0.197123i | −0.319476 | − | 0.947594i | \(-0.603507\pi\) |
0.660903 | + | 0.750471i | \(0.270173\pi\) | |||||||
\(642\) | −14.7925 | + | 8.84515i | −0.583812 | + | 0.349090i | ||||
\(643\) | −16.4456 | + | 28.4847i | −0.648552 | + | 1.12333i | 0.334917 | + | 0.942248i | \(0.391292\pi\) |
−0.983469 | + | 0.181077i | \(0.942042\pi\) | |||||||
\(644\) | 13.7158 | + | 4.48857i | 0.540478 | + | 0.176875i | ||||
\(645\) | −9.97393 | − | 14.0662i | −0.392723 | − | 0.553856i | ||||
\(646\) | −2.06014 | − | 3.56828i | −0.0810553 | − | 0.140392i | ||||
\(647\) | 25.1140i | 0.987333i | 0.869651 | + | 0.493666i | \(0.164344\pi\) | ||||
−0.869651 | + | 0.493666i | \(0.835656\pi\) | |||||||
\(648\) | −25.2103 | + | 1.54597i | −0.990352 | + | 0.0607316i | ||||
\(649\) | − | 13.0450i | − | 0.512061i | ||||||
\(650\) | 4.98087 | − | 0.782128i | 0.195366 | − | 0.0306776i | ||||
\(651\) | 5.44654 | + | 24.0579i | 0.213467 | + | 0.942905i | ||||
\(652\) | 13.7838 | + | 7.95808i | 0.539815 | + | 0.311662i | ||||
\(653\) | −5.95761 | + | 10.3189i | −0.233139 | + | 0.403809i | −0.958730 | − | 0.284317i | \(-0.908233\pi\) |
0.725591 | + | 0.688126i | \(0.241567\pi\) | |||||||
\(654\) | 22.1582 | − | 13.2495i | 0.866454 | − | 0.518096i | ||||
\(655\) | 16.0809 | − | 33.6569i | 0.628333 | − | 1.31509i | ||||
\(656\) | −0.141814 | −0.00553692 | ||||||||
\(657\) | −3.39308 | + | 0.103940i | −0.132377 | + | 0.00405507i | ||||
\(658\) | −21.4294 | + | 4.50769i | −0.835406 | + | 0.175728i | ||||
\(659\) | −31.1669 | + | 17.9942i | −1.21409 | + | 0.700956i | −0.963648 | − | 0.267176i | \(-0.913910\pi\) |
−0.250443 | + | 0.968131i | \(0.580576\pi\) | |||||||
\(660\) | 5.25450 | − | 0.491083i | 0.204531 | − | 0.0191154i | ||||
\(661\) | −32.5103 | − | 18.7699i | −1.26451 | − | 0.730063i | −0.290563 | − | 0.956856i | \(-0.593843\pi\) |
−0.973943 | + | 0.226793i | \(0.927176\pi\) | |||||||
\(662\) | 2.94823 | − | 5.10648i | 0.114586 | − | 0.198469i | ||||
\(663\) | 2.81859 | − | 5.05928i | 0.109465 | − | 0.196486i | ||||
\(664\) | 8.77940 | − | 5.06879i | 0.340707 | − | 0.196707i | ||||
\(665\) | −7.16777 | − | 6.83985i | −0.277954 | − | 0.265238i | ||||
\(666\) | 13.3846 | − | 8.28414i | 0.518644 | − | 0.321004i | ||||
\(667\) | 25.5540i | 0.989456i | ||||||||
\(668\) | 13.5909 | − | 7.84671i | 0.525848 | − | 0.303598i | ||||
\(669\) | −2.70652 | + | 1.61837i | −0.104640 | + | 0.0625696i | ||||
\(670\) | 0.569039 | + | 7.29209i | 0.0219839 | + | 0.281718i | ||||
\(671\) | 6.28517 | − | 10.8862i | 0.242636 | − | 0.420258i | ||||
\(672\) | 25.4661 | − | 5.76533i | 0.982375 | − | 0.222402i | ||||
\(673\) | 8.68324 | − | 5.01327i | 0.334714 | − | 0.193247i | −0.323218 | − | 0.946325i | \(-0.604765\pi\) |
0.657932 | + | 0.753077i | \(0.271431\pi\) | |||||||
\(674\) | 3.10762i | 0.119701i | ||||||||
\(675\) | 5.20459 | + | 25.4541i | 0.200325 | + | 0.979730i | ||||
\(676\) | 14.6302 | 0.562701 | ||||||||
\(677\) | 1.25812 | − | 0.726375i | 0.0483534 | − | 0.0279169i | −0.475628 | − | 0.879646i | \(-0.657779\pi\) |
0.523982 | + | 0.851729i | \(0.324446\pi\) | |||||||
\(678\) | 0.123175 | + | 8.04393i | 0.00473052 | + | 0.308925i | ||||
\(679\) | 48.5174 | + | 15.8776i | 1.86193 | + | 0.609327i | ||||
\(680\) | −1.39445 | − | 17.8696i | −0.0534748 | − | 0.685266i | ||||
\(681\) | 7.83723 | + | 13.1068i | 0.300323 | + | 0.502255i | ||||
\(682\) | 2.51105 | + | 4.34926i | 0.0961530 | + | 0.166542i | ||||
\(683\) | 4.58360 | 0.175386 | 0.0876932 | − | 0.996148i | \(-0.472050\pi\) | ||||
0.0876932 | + | 0.996148i | \(0.472050\pi\) | |||||||
\(684\) | −5.56781 | − | 2.99112i | −0.212890 | − | 0.114368i | ||||
\(685\) | 25.1336 | + | 36.6216i | 0.960305 | + | 1.39924i | ||||
\(686\) | −6.58087 | + | 14.5324i | −0.251259 | + | 0.554850i | ||||
\(687\) | −13.4210 | + | 24.0903i | −0.512043 | + | 0.919102i | ||||
\(688\) | 0.380397 | + | 0.219623i | 0.0145025 | + | 0.00837303i | ||||
\(689\) | 5.42161 | − | 9.39050i | 0.206547 | − | 0.357750i | ||||
\(690\) | 1.34603 | + | 14.4022i | 0.0512424 | + | 0.548284i | ||||
\(691\) | 5.98573 | − | 3.45586i | 0.227708 | − | 0.131467i | −0.381806 | − | 0.924242i | \(-0.624698\pi\) |
0.609514 | + | 0.792775i | \(0.291365\pi\) | |||||||
\(692\) | 5.71197i | 0.217136i | ||||||||
\(693\) | −2.42251 | + | 8.24883i | −0.0920235 | + | 0.313347i | ||||
\(694\) | 7.86546 | 0.298569 | ||||||||
\(695\) | 45.0001 | + | 21.5006i | 1.70695 | + | 0.815563i | ||||
\(696\) | 14.7021 | + | 24.5876i | 0.557283 | + | 0.931991i | ||||
\(697\) | −3.55566 | − | 2.05286i | −0.134680 | − | 0.0777577i | ||||
\(698\) | 12.0093 | + | 6.93355i | 0.454557 | + | 0.262439i | ||||
\(699\) | −0.360617 | − | 23.5500i | −0.0136398 | − | 0.890742i | ||||
\(700\) | −5.91055 | − | 15.5571i | −0.223398 | − | 0.588003i | ||||
\(701\) | 11.2311i | 0.424191i | 0.977249 | + | 0.212096i | \(0.0680288\pi\) | ||||
−0.977249 | + | 0.212096i | \(0.931971\pi\) | |||||||
\(702\) | 0.240600 | + | 5.23417i | 0.00908088 | + | 0.197551i | ||||
\(703\) | 10.2011 | 0.384741 | ||||||||
\(704\) | 4.41874 | − | 2.55116i | 0.166538 | − | 0.0961505i | ||||
\(705\) | 21.5256 | + | 30.3574i | 0.810700 | + | 1.14333i | ||||
\(706\) | 0.0288712 | + | 0.0166688i | 0.00108658 | + | 0.000627339i | ||||
\(707\) | 13.5723 | + | 4.44163i | 0.510441 | + | 0.167045i | ||||
\(708\) | −22.5231 | + | 13.4677i | −0.846472 | + | 0.506147i | ||||
\(709\) | 15.5040 | + | 26.8537i | 0.582265 | + | 1.00851i | 0.995210 | + | 0.0977563i | \(0.0311666\pi\) |
−0.412946 | + | 0.910756i | \(0.635500\pi\) | |||||||
\(710\) | 11.8370 | − | 8.12382i | 0.444235 | − | 0.304881i | ||||
\(711\) | −9.90497 | − | 16.0034i | −0.371465 | − | 0.600174i | ||||
\(712\) | −25.7066 | −0.963395 | ||||||||
\(713\) | 20.2120 | − | 11.6694i | 0.756947 | − | 0.437023i | ||||
\(714\) | 10.7679 | + | 3.34222i | 0.402978 | + | 0.125079i | ||||
\(715\) | −0.220583 | − | 2.82671i | −0.00824933 | − | 0.105713i | ||||
\(716\) | 15.0509 | + | 8.68966i | 0.562480 | + | 0.324748i | ||||
\(717\) | 11.8345 | − | 21.2427i | 0.441969 | − | 0.793322i | ||||
\(718\) | −11.3768 | + | 6.56842i | −0.424580 | + | 0.245131i | ||||
\(719\) | −17.0690 | −0.636568 | −0.318284 | − | 0.947995i | \(-0.603107\pi\) | ||||
−0.318284 | + | 0.947995i | \(0.603107\pi\) | |||||||
\(720\) | −0.391024 | − | 0.533942i | −0.0145726 | − | 0.0198988i | ||||
\(721\) | −9.44866 | − | 44.9186i | −0.351886 | − | 1.67286i | ||||
\(722\) | −6.97522 | − | 12.0814i | −0.259591 | − | 0.449625i | ||||
\(723\) | −24.0517 | − | 40.2236i | −0.894491 | − | 1.49593i | ||||
\(724\) | 14.2487 | + | 8.22652i | 0.529550 | + | 0.305736i | ||||
\(725\) | 22.9256 | − | 18.5145i | 0.851435 | − | 0.687613i | ||||
\(726\) | −0.224478 | − | 14.6594i | −0.00833114 | − | 0.544063i | ||||
\(727\) | −8.60852 | − | 14.9104i | −0.319272 | − | 0.552996i | 0.661064 | − | 0.750330i | \(-0.270105\pi\) |
−0.980336 | + | 0.197333i | \(0.936772\pi\) | |||||||
\(728\) | −1.78924 | − | 8.50601i | −0.0663138 | − | 0.315254i | ||||
\(729\) | −26.8861 | + | 2.47700i | −0.995783 | + | 0.0917406i | ||||
\(730\) | 1.23329 | + | 1.79700i | 0.0456462 | + | 0.0665100i | ||||
\(731\) | 6.35838 | + | 11.0130i | 0.235173 | + | 0.407332i | ||||
\(732\) | −25.2847 | + | 0.387180i | −0.934549 | + | 0.0143106i | ||||
\(733\) | 19.0927 | − | 33.0696i | 0.705205 | − | 1.22145i | −0.261412 | − | 0.965227i | \(-0.584188\pi\) |
0.966617 | − | 0.256224i | \(-0.0824786\pi\) | |||||||
\(734\) | −8.33671 | + | 14.4396i | −0.307714 | + | 0.532975i | ||||
\(735\) | 27.1075 | + | 0.427086i | 0.999876 | + | 0.0157533i | ||||
\(736\) | −12.3524 | − | 21.3951i | −0.455317 | − | 0.788632i | ||||
\(737\) | 4.11317 | 0.151510 | ||||||||
\(738\) | 3.71284 | − | 0.113735i | 0.136671 | − | 0.00418663i | ||||
\(739\) | −31.3305 | −1.15251 | −0.576255 | − | 0.817270i | \(-0.695487\pi\) | ||||
−0.576255 | + | 0.817270i | \(0.695487\pi\) | |||||||
\(740\) | 15.4609 | + | 7.38706i | 0.568355 | + | 0.271554i | ||||
\(741\) | −1.65260 | + | 2.96638i | −0.0607099 | + | 0.108973i | ||||
\(742\) | 20.0624 | + | 6.56552i | 0.736512 | + | 0.241028i | ||||
\(743\) | −13.8942 | + | 24.0655i | −0.509730 | + | 0.882879i | 0.490206 | + | 0.871606i | \(0.336921\pi\) |
−0.999936 | + | 0.0112721i | \(0.996412\pi\) | |||||||
\(744\) | 12.7338 | − | 22.8568i | 0.466844 | − | 0.837971i | ||||
\(745\) | −18.6668 | − | 8.91880i | −0.683899 | − | 0.326760i | ||||
\(746\) | − | 12.2994i | − | 0.450313i | ||||||
\(747\) | 9.21474 | − | 5.70328i | 0.337150 | − | 0.208672i | ||||
\(748\) | −3.89199 | −0.142305 | ||||||||
\(749\) | 22.7566 | − | 20.4033i | 0.831508 | − | 0.745520i | ||||
\(750\) | 11.9456 | − | 11.6424i | 0.436192 | − | 0.425119i | ||||
\(751\) | −9.90503 | + | 17.1560i | −0.361440 | + | 0.626032i | −0.988198 | − | 0.153182i | \(-0.951048\pi\) |
0.626758 | + | 0.779214i | \(0.284381\pi\) | |||||||
\(752\) | −0.820968 | − | 0.473986i | −0.0299376 | − | 0.0172845i | ||||
\(753\) | 0.0822413 | + | 5.37075i | 0.00299704 | + | 0.195721i | ||||
\(754\) | 5.14681 | − | 2.97151i | 0.187436 | − | 0.108216i | ||||
\(755\) | 22.7552 | + | 33.1561i | 0.828147 | + | 1.20667i | ||||
\(756\) | 16.7432 | − | 4.33349i | 0.608945 | − | 0.157607i | ||||
\(757\) | − | 27.0630i | − | 0.983622i | −0.870702 | − | 0.491811i | \(-0.836335\pi\) | ||
0.870702 | − | 0.491811i | \(-0.163665\pi\) | |||||||
\(758\) | 1.48508 | + | 2.57223i | 0.0539405 | + | 0.0934277i | ||||
\(759\) | 8.13342 | − | 0.124546i | 0.295224 | − | 0.00452072i | ||||
\(760\) | 0.817600 | + | 10.4773i | 0.0296575 | + | 0.380053i | ||||
\(761\) | 15.7777 | − | 27.3278i | 0.571942 | − | 0.990632i | −0.424425 | − | 0.905463i | \(-0.639524\pi\) |
0.996367 | − | 0.0851690i | \(-0.0271430\pi\) | |||||||
\(762\) | −3.38782 | − | 5.66574i | −0.122728 | − | 0.205248i | ||||
\(763\) | −34.0880 | + | 30.5629i | −1.23407 | + | 1.10645i | ||||
\(764\) | 8.66720i | 0.313568i | ||||||||
\(765\) | −2.07483 | − | 19.0477i | −0.0750157 | − | 0.688671i | ||||
\(766\) | − | 8.37577i | − | 0.302629i | ||||||
\(767\) | 7.04947 | + | 12.2100i | 0.254541 | + | 0.440879i | ||||
\(768\) | −23.8190 | − | 13.2699i | −0.859495 | − | 0.478835i | ||||
\(769\) | −13.7774 | − | 7.95441i | −0.496827 | − | 0.286843i | 0.230575 | − | 0.973055i | \(-0.425939\pi\) |
−0.727402 | + | 0.686211i | \(0.759273\pi\) | |||||||
\(770\) | 5.29674 | − | 1.55300i | 0.190881 | − | 0.0559661i | ||||
\(771\) | −2.74568 | + | 4.92842i | −0.0988832 | + | 0.177493i | ||||
\(772\) | 21.5108 | − | 12.4193i | 0.774191 | − | 0.446979i | ||||
\(773\) | 0.663048i | 0.0238482i | 0.999929 | + | 0.0119241i | \(0.00379565\pi\) | ||||
−0.999929 | + | 0.0119241i | \(0.996204\pi\) | |||||||
\(774\) | −10.1353 | − | 5.44485i | −0.364306 | − | 0.195711i | ||||
\(775\) | −25.1133 | − | 9.67828i | −0.902095 | − | 0.347654i | ||||
\(776\) | −27.0746 | − | 46.8945i | −0.971920 | − | 1.68341i | ||||
\(777\) | −20.4958 | + | 18.9503i | −0.735281 | + | 0.679837i | ||||
\(778\) | 10.5227 | + | 6.07528i | 0.377257 | + | 0.217809i | ||||
\(779\) | 2.08477 | + | 1.20364i | 0.0746945 | + | 0.0431249i | ||||
\(780\) | −4.65280 | + | 3.29916i | −0.166597 | + | 0.118129i | ||||
\(781\) | −4.03670 | − | 6.99177i | −0.144445 | − | 0.250185i | ||||
\(782\) | − | 10.6677i | − | 0.381476i | ||||||
\(783\) | 16.5138 | + | 25.7902i | 0.590154 | + | 0.921668i | ||||
\(784\) | −0.632074 | + | 0.278225i | −0.0225741 | + | 0.00993661i | ||||
\(785\) | 3.80488 | − | 7.96351i | 0.135802 | − | 0.284230i | ||||
\(786\) | −0.381065 | − | 24.8854i | −0.0135922 | − | 0.887632i | ||||
\(787\) | −8.07852 | + | 13.9924i | −0.287968 | + | 0.498775i | −0.973325 | − | 0.229432i | \(-0.926313\pi\) |
0.685356 | + | 0.728208i | \(0.259646\pi\) | |||||||
\(788\) | 9.33784 | − | 16.1736i | 0.332647 | − | 0.576161i | ||||
\(789\) | −0.399691 | + | 0.238995i | −0.0142294 | + | 0.00850846i | ||||
\(790\) | −5.20932 | + | 10.9030i | −0.185339 | + | 0.387911i | ||||
\(791\) | −2.93666 | − | 13.9608i | −0.104416 | − | 0.496389i | ||||
\(792\) | 7.75416 | − | 4.79928i | 0.275532 | − | 0.170535i | ||||
\(793\) | 13.5859i | 0.482450i | ||||||||
\(794\) | 12.0445 | + | 20.8618i | 0.427445 | + | 0.740356i | ||||
\(795\) | −3.33819 | − | 35.7180i | −0.118393 | − | 1.26679i | ||||
\(796\) | 13.9616 | + | 8.06072i | 0.494855 | + | 0.285705i | ||||
\(797\) | −18.4597 | − | 10.6577i | −0.653877 | − | 0.377516i | 0.136063 | − | 0.990700i | \(-0.456555\pi\) |
−0.789940 | + | 0.613184i | \(0.789888\pi\) | |||||||
\(798\) | −6.31346 | − | 1.95962i | −0.223494 | − | 0.0693698i | ||||
\(799\) | −13.7225 | − | 23.7682i | −0.485469 | − | 0.840857i | ||||
\(800\) | −10.2448 | + | 26.5831i | −0.362207 | + | 0.939856i | ||||
\(801\) | −27.4671 | + | 0.841394i | −0.970501 | + | 0.0297292i | ||||
\(802\) | 30.1938i | 1.06618i | ||||||||
\(803\) | 1.06144 | − | 0.612820i | 0.0374572 | − | 0.0216259i | ||||
\(804\) | −4.24645 | − | 7.10168i | −0.149761 | − | 0.250457i | ||||
\(805\) | −7.21713 | − | 24.6152i | −0.254370 | − | 0.867571i | ||||
\(806\) | −4.70065 | − | 2.71392i | −0.165573 | − | 0.0955938i | ||||
\(807\) | −0.474845 | − | 31.0096i | −0.0167153 | − | 1.09159i | ||||
\(808\) | −7.57388 | − | 13.1183i | −0.266448 | − | 0.461502i | ||||
\(809\) | 49.0587i | 1.72481i | 0.506217 | + | 0.862406i | \(0.331043\pi\) | ||||
−0.506217 | + | 0.862406i | \(0.668957\pi\) | |||||||
\(810\) | 10.6656 | + | 13.6655i | 0.374752 | + | 0.480157i | ||||
\(811\) | − | 31.5984i | − | 1.10957i | −0.831994 | − | 0.554785i | \(-0.812800\pi\) | ||
0.831994 | − | 0.554785i | \(-0.187200\pi\) | |||||||
\(812\) | −13.0951 | − | 14.6055i | −0.459549 | − | 0.512553i | ||||
\(813\) | −23.7769 | + | 0.364092i | −0.833894 | + | 0.0127693i | ||||
\(814\) | −2.84161 | + | 4.92181i | −0.0995983 | + | 0.172509i | ||||
\(815\) | −2.20093 | − | 28.2044i | −0.0770954 | − | 0.987958i | ||||
\(816\) | 0.250480 | + | 0.418899i | 0.00876856 | + | 0.0146644i | ||||
\(817\) | −3.72806 | − | 6.45720i | −0.130428 | − | 0.225909i | ||||
\(818\) | 2.66962i | 0.0933410i | ||||||||
\(819\) | −2.19018 | − | 9.02996i | −0.0765312 | − | 0.315532i | ||||
\(820\) | 2.28810 | + | 3.33393i | 0.0799038 | + | 0.116426i | ||||
\(821\) | 7.05006 | − | 4.07035i | 0.246049 | − | 0.142056i | −0.371905 | − | 0.928271i | \(-0.621295\pi\) |
0.617954 | + | 0.786214i | \(0.287962\pi\) | |||||||
\(822\) | 25.8892 | + | 14.4232i | 0.902991 | + | 0.503067i | ||||
\(823\) | −42.2549 | − | 24.3959i | −1.47291 | − | 0.850386i | −0.473376 | − | 0.880860i | \(-0.656965\pi\) |
−0.999536 | + | 0.0304744i | \(0.990298\pi\) | |||||||
\(824\) | −24.3444 | + | 42.1657i | −0.848077 | + | 1.46891i | ||||
\(825\) | −6.00460 | − | 7.20659i | −0.209053 | − | 0.250901i | ||||
\(826\) | −20.4362 | + | 18.3228i | −0.711066 | + | 0.637533i | ||||
\(827\) | 51.8090 | 1.80157 | 0.900787 | − | 0.434261i | \(-0.142991\pi\) | ||||
0.900787 | + | 0.434261i | \(0.142991\pi\) | |||||||
\(828\) | −8.61201 | − | 13.9144i | −0.299288 | − | 0.483557i | ||||
\(829\) | 29.4848i | 1.02405i | 0.858971 | + | 0.512025i | \(0.171104\pi\) | ||||
−0.858971 | + | 0.512025i | \(0.828896\pi\) | |||||||
\(830\) | −6.27793 | − | 2.99953i | −0.217910 | − | 0.104115i | ||||
\(831\) | −8.20069 | − | 13.7147i | −0.284479 | − | 0.475757i | ||||
\(832\) | −2.75727 | + | 4.77574i | −0.0955913 | + | 0.165569i | ||||
\(833\) | −19.8753 | − | 2.17388i | −0.688637 | − | 0.0753203i | ||||
\(834\) | 33.2724 | − | 0.509494i | 1.15213 | − | 0.0176423i | ||||
\(835\) | −25.1690 | − | 12.0255i | −0.871009 | − | 0.416159i | ||||
\(836\) | 2.28196 | 0.0789234 | ||||||||
\(837\) | 12.8577 | − | 24.8389i | 0.444428 | − | 0.858558i | ||||
\(838\) | 5.89887 | 0.203773 | ||||||||
\(839\) | 22.6019 | + | 39.1477i | 0.780305 | + | 1.35153i | 0.931764 | + | 0.363065i | \(0.118270\pi\) |
−0.151458 | + | 0.988464i | \(0.548397\pi\) | |||||||
\(840\) | −21.1062 | − | 19.5320i | −0.728232 | − | 0.673917i | ||||
\(841\) | 2.86743 | − | 4.96653i | 0.0988767 | − | 0.171260i | ||||
\(842\) | 5.34528 | − | 9.25830i | 0.184210 | − | 0.319062i | ||||
\(843\) | −22.7860 | − | 38.1069i | −0.784793 | − | 1.31247i | ||||
\(844\) | 6.08220 | + | 10.5347i | 0.209358 | + | 0.362619i | ||||
\(845\) | −14.7149 | − | 21.4407i | −0.506208 | − | 0.737584i | ||||
\(846\) | 21.8739 | + | 11.7510i | 0.752039 | + | 0.404007i | ||||
\(847\) | 5.35184 | + | 25.4425i | 0.183891 | + | 0.874214i | ||||
\(848\) | 0.456907 | + | 0.791386i | 0.0156902 | + | 0.0271763i | ||||
\(849\) | 17.4105 | + | 9.69962i | 0.597528 | + | 0.332890i | ||||
\(850\) | −9.57043 | + | 7.72900i | −0.328263 | + | 0.265103i | ||||
\(851\) | 22.8728 | + | 13.2056i | 0.784069 | + | 0.452683i | ||||
\(852\) | −7.90430 | + | 14.1880i | −0.270797 | + | 0.486073i | ||||
\(853\) | −1.59707 | − | 2.76620i | −0.0546825 | − | 0.0947128i | 0.837388 | − | 0.546608i | \(-0.184081\pi\) |
−0.892071 | + | 0.451895i | \(0.850748\pi\) | |||||||
\(854\) | −25.8823 | + | 5.44436i | −0.885675 | + | 0.186302i | ||||
\(855\) | 1.21652 | + | 11.1681i | 0.0416042 | + | 0.381941i | ||||
\(856\) | −32.4198 | −1.10809 | ||||||||
\(857\) | 32.6079 | − | 18.8262i | 1.11386 | − | 0.643089i | 0.174036 | − | 0.984739i | \(-0.444319\pi\) |
0.939827 | + | 0.341650i | \(0.110986\pi\) | |||||||
\(858\) | −0.970866 | − | 1.62366i | −0.0331448 | − | 0.0554308i | ||||
\(859\) | 30.9672 | + | 17.8789i | 1.05659 | + | 0.610020i | 0.924486 | − | 0.381216i | \(-0.124495\pi\) |
0.132100 | + | 0.991236i | \(0.457828\pi\) | |||||||
\(860\) | −0.974369 | − | 12.4863i | −0.0332257 | − | 0.425779i | ||||
\(861\) | −6.42463 | + | 1.45449i | −0.218951 | + | 0.0495689i | ||||
\(862\) | 0.707604 | − | 0.408535i | 0.0241011 | − | 0.0139148i | ||||
\(863\) | −21.4669 | −0.730741 | −0.365371 | − | 0.930862i | \(-0.619058\pi\) | ||||
−0.365371 | + | 0.930862i | \(0.619058\pi\) | |||||||
\(864\) | −26.2927 | − | 13.6103i | −0.894497 | − | 0.463032i | ||||
\(865\) | 8.37094 | − | 5.74502i | 0.284620 | − | 0.195337i | ||||
\(866\) | 3.01580 | + | 5.22352i | 0.102481 | + | 0.177502i | ||||
\(867\) | −0.234480 | − | 15.3126i | −0.00796335 | − | 0.520045i | ||||
\(868\) | −5.57229 | + | 17.0273i | −0.189136 | + | 0.577945i | ||||
\(869\) | 5.88478 | + | 3.39758i | 0.199628 | + | 0.115255i | ||||
\(870\) | 8.20377 | − | 17.8686i | 0.278134 | − | 0.605802i | ||||
\(871\) | −3.84989 | + | 2.22274i | −0.130449 | + | 0.0753146i | ||||
\(872\) | 48.5629 | 1.64455 | ||||||||
\(873\) | −30.4636 | − | 49.2198i | −1.03104 | − | 1.66584i | ||||
\(874\) | 6.25471i | 0.211569i | ||||||||
\(875\) | −16.8543 | + | 24.3091i | −0.569780 | + | 0.821797i | ||||
\(876\) | −2.15391 | − | 1.19997i | −0.0727738 | − | 0.0405432i | ||||
\(877\) | 23.1310 | + | 13.3547i | 0.781077 | + | 0.450955i | 0.836812 | − | 0.547490i | \(-0.184417\pi\) |
−0.0557346 | + | 0.998446i | \(0.517750\pi\) | |||||||
\(878\) | 16.2032 | + | 9.35493i | 0.546832 | + | 0.315714i | ||||
\(879\) | 3.71326 | − | 6.66520i | 0.125245 | − | 0.224812i | ||||
\(880\) | 0.215601 | + | 0.103012i | 0.00726790 | + | 0.00347252i | ||||
\(881\) | −33.2691 | −1.12086 | −0.560432 | − | 0.828201i | \(-0.689365\pi\) | ||||
−0.560432 | + | 0.828201i | \(0.689365\pi\) | |||||||
\(882\) | 16.3252 | − | 7.79112i | 0.549697 | − | 0.262341i | ||||
\(883\) | 13.2867i | 0.447134i | 0.974689 | + | 0.223567i | \(0.0717702\pi\) | ||||
−0.974689 | + | 0.223567i | \(0.928230\pi\) | |||||||
\(884\) | 3.64288 | − | 2.10322i | 0.122523 | − | 0.0707388i | ||||
\(885\) | 42.3905 | + | 19.4622i | 1.42494 | + | 0.654216i | ||||
\(886\) | 5.17423 | − | 8.96203i | 0.173832 | − | 0.301085i | ||||
\(887\) | −21.7033 | − | 12.5304i | −0.728724 | − | 0.420729i | 0.0892311 | − | 0.996011i | \(-0.471559\pi\) |
−0.817955 | + | 0.575282i | \(0.804892\pi\) | |||||||
\(888\) | 29.6054 | − | 0.453343i | 0.993493 | − | 0.0152132i | ||||
\(889\) | 7.81476 | + | 8.71612i | 0.262099 | + | 0.292329i | ||||
\(890\) | 9.98355 | + | 14.5468i | 0.334649 | + | 0.487609i | ||||
\(891\) | 8.12811 | − | 5.38175i | 0.272302 | − | 0.180295i | ||||
\(892\) | −2.29042 | −0.0766891 | ||||||||
\(893\) | 8.04585 | + | 13.9358i | 0.269244 | + | 0.466344i | ||||
\(894\) | −13.8019 | + | 0.211347i | −0.461606 | + | 0.00706849i | ||||
\(895\) | −2.40327 | − | 30.7972i | −0.0803323 | − | 1.02944i | ||||
\(896\) | 18.4513 | + | 6.03830i | 0.616416 | + | 0.201726i | ||||
\(897\) | −7.54552 | + | 4.51184i | −0.251938 | + | 0.150646i | ||||
\(898\) | −20.8328 | + | 12.0278i | −0.695200 | + | 0.401374i | ||||
\(899\) | −31.7238 | −1.05805 | ||||||||
\(900\) | −6.24354 | + | 17.8075i | −0.208118 | + | 0.593583i | ||||
\(901\) | 26.4562i | 0.881383i | ||||||||
\(902\) | −1.16146 | + | 0.670571i | −0.0386725 | + | 0.0223276i | ||||
\(903\) | 19.4857 | + | 6.04812i | 0.648443 | + | 0.201269i | ||||
\(904\) | −7.56628 | + | 13.1052i | −0.251651 | + | 0.435872i | ||||
\(905\) | −2.27517 | − | 29.1558i | −0.0756294 | − | 0.969171i | ||||
\(906\) | 23.4394 | + | 13.0583i | 0.778720 | + | 0.433835i | ||||
\(907\) | −33.4100 | + | 19.2892i | −1.10936 | + | 0.640489i | −0.938663 | − | 0.344835i | \(-0.887935\pi\) |
−0.170696 | + | 0.985324i | \(0.554602\pi\) | |||||||
\(908\) | 11.0918i | 0.368094i | ||||||||
\(909\) | −8.52194 | − | 13.7688i | −0.282655 | − | 0.456683i | ||||
\(910\) | −4.11848 | + | 4.31593i | −0.136526 | + | 0.143072i | ||||
\(911\) | −43.4787 | + | 25.1024i | −1.44051 | + | 0.831681i | −0.997884 | − | 0.0650234i | \(-0.979288\pi\) |
−0.442630 | + | 0.896704i | \(0.645954\pi\) | |||||||
\(912\) | −0.146862 | − | 0.245610i | −0.00486310 | − | 0.00813296i | ||||
\(913\) | −1.95633 | + | 3.38846i | −0.0647449 | + | 0.112142i | ||||
\(914\) | −7.92579 | − | 4.57596i | −0.262162 | − | 0.151359i | ||||
\(915\) | 25.9984 | + | 36.6655i | 0.859482 | + | 1.21213i | ||||
\(916\) | −17.3459 | + | 10.0147i | −0.573126 | + | 0.330894i | ||||
\(917\) | 9.08510 | + | 43.1903i | 0.300016 | + | 1.42627i | ||||
\(918\) | −6.89377 | − | 10.7663i | −0.227528 | − | 0.355340i | ||||
\(919\) | 2.16894 | 0.0715467 | 0.0357734 | − | 0.999360i | \(-0.488611\pi\) | ||||
0.0357734 | + | 0.999360i | \(0.488611\pi\) | |||||||
\(920\) | −11.7300 | + | 24.5506i | −0.386727 | + | 0.809410i | ||||
\(921\) | −0.195367 | − | 12.7584i | −0.00643756 | − | 0.420403i | ||||
\(922\) | 10.6590 | − | 18.4619i | 0.351035 | − | 0.608010i | ||||
\(923\) | 7.55665 | + | 4.36283i | 0.248730 | + | 0.143604i | ||||
\(924\) | −4.58487 | + | 4.23914i | −0.150831 | + | 0.139458i | ||||
\(925\) | −4.72460 | − | 30.0879i | −0.155344 | − | 0.989286i | ||||
\(926\) | 32.1542i | 1.05665i | ||||||||
\(927\) | −24.6315 | + | 45.8502i | −0.809004 | + | 1.50592i | ||||
\(928\) | 33.5806i | 1.10234i | ||||||||
\(929\) | 0.278887 | + | 0.483046i | 0.00914998 | + | 0.0158482i | 0.870564 | − | 0.492055i | \(-0.163754\pi\) |
−0.861414 | + | 0.507903i | \(0.830421\pi\) | |||||||
\(930\) | −17.8795 | + | 1.67101i | −0.586292 | + | 0.0547946i | ||||
\(931\) | 11.6533 | + | 1.27459i | 0.381923 | + | 0.0417731i | ||||
\(932\) | 8.55340 | − | 14.8149i | 0.280176 | − | 0.485279i | ||||
\(933\) | 24.6455 | + | 13.7303i | 0.806857 | + | 0.449510i | ||||
\(934\) | 8.82025 | − | 5.09237i | 0.288607 | − | 0.166628i | ||||
\(935\) | 3.91451 | + | 5.70375i | 0.128018 | + | 0.186532i | ||||
\(936\) | −4.66433 | + | 8.68241i | −0.152458 | + | 0.283793i | ||||
\(937\) | −5.28555 | −0.172671 | −0.0863357 | − | 0.996266i | \(-0.527516\pi\) | ||||
−0.0863357 | + | 0.996266i | \(0.527516\pi\) | |||||||
\(938\) | −5.77730 | − | 6.44365i | −0.188635 | − | 0.210393i | ||||
\(939\) | 38.9594 | − | 23.2958i | 1.27139 | − | 0.760228i | ||||
\(940\) | 2.10287 | + | 26.9477i | 0.0685879 | + | 0.878937i | ||||
\(941\) | −16.2876 | + | 28.2110i | −0.530962 | + | 0.919653i | 0.468385 | + | 0.883524i | \(0.344836\pi\) |
−0.999347 | + | 0.0361284i | \(0.988497\pi\) | |||||||
\(942\) | −0.0901632 | − | 5.88808i | −0.00293768 | − | 0.191844i | ||||
\(943\) | 3.11630 | + | 5.39759i | 0.101481 | + | 0.175770i | ||||
\(944\) | −1.18819 | −0.0386723 | ||||||||
\(945\) | −23.1909 | − | 20.1788i | −0.754400 | − | 0.656416i | ||||
\(946\) | 4.15395 | 0.135057 | ||||||||
\(947\) | 16.8682 | + | 29.2165i | 0.548142 | + | 0.949410i | 0.998402 | + | 0.0565122i | \(0.0179980\pi\) |
−0.450260 | + | 0.892898i | \(0.648669\pi\) | |||||||
\(948\) | −0.209298 | − | 13.6682i | −0.00679770 | − | 0.443922i | ||||
\(949\) | −0.662331 | + | 1.14719i | −0.0215002 | + | 0.0372394i | ||||
\(950\) | 5.61136 | − | 4.53169i | 0.182057 | − | 0.147028i | ||||
\(951\) | −28.2293 | + | 16.8797i | −0.915398 | + | 0.547362i | ||||
\(952\) | 14.1575 | + | 15.7904i | 0.458847 | + | 0.511770i | ||||
\(953\) | 15.1666 | 0.491295 | 0.245648 | − | 0.969359i | \(-0.420999\pi\) | ||||
0.245648 | + | 0.969359i | \(0.420999\pi\) | |||||||
\(954\) | −12.5969 | − | 20.3528i | −0.407841 | − | 0.658946i | ||||
\(955\) | 12.7019 | − | 8.71737i | 0.411023 | − | 0.282087i | ||||
\(956\) | 15.2955 | − | 8.83087i | 0.494693 | − | 0.285611i | ||||
\(957\) | −9.65900 | − | 5.38115i | −0.312231 | − | 0.173948i | ||||
\(958\) | −16.5164 | + | 28.6072i | −0.533620 | + | 0.924257i | ||||
\(959\) | −49.9478 | − | 16.3457i | −1.61290 | − | 0.527831i | ||||
\(960\) | 1.69771 | + | 18.1651i | 0.0547932 | + | 0.586277i | ||||
\(961\) | −1.01310 | − | 1.75475i | −0.0326808 | − | 0.0566048i | ||||
\(962\) | − | 6.14238i | − | 0.198038i | ||||||
\(963\) | −34.6401 | + | 1.06112i | −1.11626 | + | 0.0341942i | ||||
\(964\) | − | 34.0396i | − | 1.09634i | ||||||
\(965\) | −39.8359 | − | 19.0331i | −1.28236 | − | 0.612699i | ||||
\(966\) | −11.6192 | − | 12.5668i | −0.373842 | − | 0.404330i | ||||
\(967\) | 10.3311 | + | 5.96466i | 0.332225 | + | 0.191810i | 0.656829 | − | 0.754040i | \(-0.271897\pi\) |
−0.324603 | + | 0.945850i | \(0.605231\pi\) | |||||||
\(968\) | 13.7890 | − | 23.8832i | 0.443194 | − | 0.767635i | ||||
\(969\) | −0.126852 | − | 8.28403i | −0.00407507 | − | 0.266121i | ||||
\(970\) | −16.0217 | + | 33.5331i | −0.514427 | + | 1.07668i | ||||
\(971\) | 50.1983 | 1.61094 | 0.805470 | − | 0.592637i | \(-0.201913\pi\) | ||||
0.805470 | + | 0.592637i | \(0.201913\pi\) | |||||||
\(972\) | −17.6835 | − | 8.47764i | −0.567198 | − | 0.271920i | ||||
\(973\) | −57.7465 | + | 12.1470i | −1.85127 | + | 0.389415i | ||||
\(974\) | −24.7543 | + | 14.2919i | −0.793178 | + | 0.457942i | ||||
\(975\) | 9.51468 | + | 3.50046i | 0.304714 | + | 0.112105i | ||||
\(976\) | −0.991560 | − | 0.572477i | −0.0317390 | − | 0.0183245i | ||||
\(977\) | −12.2344 | + | 21.1906i | −0.391414 | + | 0.677948i | −0.992636 | − | 0.121133i | \(-0.961347\pi\) |
0.601223 | + | 0.799081i | \(0.294680\pi\) | |||||||
\(978\) | −9.68712 | − | 16.2006i | −0.309760 | − | 0.518037i | ||||
\(979\) | 8.59235 | − | 4.96080i | 0.274613 | − | 0.158548i | ||||
\(980\) | 16.7390 | + | 10.3705i | 0.534707 | + | 0.331273i | ||||
\(981\) | 51.8887 | − | 1.58950i | 1.65668 | − | 0.0507487i | ||||
\(982\) | − | 10.6382i | − | 0.339480i | ||||||
\(983\) | −40.2035 | + | 23.2115i | −1.28229 | + | 0.740331i | −0.977267 | − | 0.212014i | \(-0.931998\pi\) |
−0.305024 | + | 0.952345i | \(0.598665\pi\) | |||||||
\(984\) | 6.10387 | + | 3.40054i | 0.194584 | + | 0.108405i | ||||
\(985\) | −33.0945 | + | 2.58253i | −1.05448 | + | 0.0822862i | ||||
\(986\) | −7.25013 | + | 12.5576i | −0.230891 | + | 0.399915i | ||||
\(987\) | −42.0537 | − | 13.0529i | −1.33858 | − | 0.415480i | ||||
\(988\) | −2.13590 | + | 1.23316i | −0.0679521 | + | 0.0392322i | ||||
\(989\) | − | 19.3044i | − | 0.613844i | ||||||
\(990\) | −5.72725 | − | 2.52403i | −0.182024 | − | 0.0802191i | ||||
\(991\) | −6.78859 | −0.215647 | −0.107823 | − | 0.994170i | \(-0.534388\pi\) | ||||
−0.107823 | + | 0.994170i | \(0.534388\pi\) | |||||||
\(992\) | 26.5607 | − | 15.3348i | 0.843303 | − | 0.486881i | ||||
\(993\) | 10.1760 | − | 6.08476i | 0.322927 | − | 0.193094i | ||||
\(994\) | −5.28335 | + | 16.1444i | −0.167578 | + | 0.512070i | ||||
\(995\) | −2.22932 | − | 28.5682i | −0.0706743 | − | 0.905673i | ||||
\(996\) | 7.87013 | − | 0.120514i | 0.249375 | − | 0.00381863i | ||||
\(997\) | −1.65733 | − | 2.87059i | −0.0524883 | − | 0.0909124i | 0.838587 | − | 0.544767i | \(-0.183382\pi\) |
−0.891076 | + | 0.453855i | \(0.850049\pi\) | |||||||
\(998\) | 1.29956 | 0.0411368 | ||||||||
\(999\) | 31.6181 | − | 1.45339i | 1.00035 | − | 0.0459834i |
(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 | 315.2.z.b.104.17 | ✓ | 80 | |
3.2 | odd | 2 | 945.2.z.b.314.24 | 80 | |||
5.4 | even | 2 | inner | 315.2.z.b.104.24 | yes | 80 | |
7.6 | odd | 2 | inner | 315.2.z.b.104.18 | yes | 80 | |
9.2 | odd | 6 | inner | 315.2.z.b.209.23 | yes | 80 | |
9.7 | even | 3 | 945.2.z.b.629.18 | 80 | |||
15.14 | odd | 2 | 945.2.z.b.314.17 | 80 | |||
21.20 | even | 2 | 945.2.z.b.314.23 | 80 | |||
35.34 | odd | 2 | inner | 315.2.z.b.104.23 | yes | 80 | |
45.29 | odd | 6 | inner | 315.2.z.b.209.18 | yes | 80 | |
45.34 | even | 6 | 945.2.z.b.629.23 | 80 | |||
63.20 | even | 6 | inner | 315.2.z.b.209.24 | yes | 80 | |
63.34 | odd | 6 | 945.2.z.b.629.17 | 80 | |||
105.104 | even | 2 | 945.2.z.b.314.18 | 80 | |||
315.34 | odd | 6 | 945.2.z.b.629.24 | 80 | |||
315.209 | even | 6 | inner | 315.2.z.b.209.17 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.z.b.104.17 | ✓ | 80 | 1.1 | even | 1 | trivial | |
315.2.z.b.104.18 | yes | 80 | 7.6 | odd | 2 | inner | |
315.2.z.b.104.23 | yes | 80 | 35.34 | odd | 2 | inner | |
315.2.z.b.104.24 | yes | 80 | 5.4 | even | 2 | inner | |
315.2.z.b.209.17 | yes | 80 | 315.209 | even | 6 | inner | |
315.2.z.b.209.18 | yes | 80 | 45.29 | odd | 6 | inner | |
315.2.z.b.209.23 | yes | 80 | 9.2 | odd | 6 | inner | |
315.2.z.b.209.24 | yes | 80 | 63.20 | even | 6 | inner | |
945.2.z.b.314.17 | 80 | 15.14 | odd | 2 | |||
945.2.z.b.314.18 | 80 | 105.104 | even | 2 | |||
945.2.z.b.314.23 | 80 | 21.20 | even | 2 | |||
945.2.z.b.314.24 | 80 | 3.2 | odd | 2 | |||
945.2.z.b.629.17 | 80 | 63.34 | odd | 6 | |||
945.2.z.b.629.18 | 80 | 9.7 | even | 3 | |||
945.2.z.b.629.23 | 80 | 45.34 | even | 6 | |||
945.2.z.b.629.24 | 80 | 315.34 | odd | 6 |