Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(101,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.l (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 651.1 | ||
Character | \(\chi\) | \(=\) | 950.651 |
Dual form | 950.2.l.k.251.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | + | 0.342020i | −0.664463 | + | 0.241845i | ||||
\(3\) | −0.443457 | + | 2.51497i | −0.256030 | + | 1.45202i | 0.537385 | + | 0.843337i | \(0.319412\pi\) |
−0.793415 | + | 0.608681i | \(0.791699\pi\) | |||||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.443457 | − | 2.51497i | −0.181041 | − | 1.02673i | ||||
\(7\) | 2.28243 | + | 3.95328i | 0.862676 | + | 1.49420i | 0.869336 | + | 0.494221i | \(0.164547\pi\) |
−0.00665977 | + | 0.999978i | \(0.502120\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | −3.30934 | − | 1.20450i | −1.10311 | − | 0.401500i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.71245 | + | 2.96606i | −0.516324 | + | 0.894300i | 0.483496 | + | 0.875347i | \(0.339367\pi\) |
−0.999820 | + | 0.0189536i | \(0.993967\pi\) | |||||||
\(12\) | 1.27688 | + | 2.21163i | 0.368605 | + | 0.638442i | ||||
\(13\) | 0.141697 | + | 0.803603i | 0.0392997 | + | 0.222879i | 0.998132 | − | 0.0610931i | \(-0.0194587\pi\) |
−0.958832 | + | 0.283973i | \(0.908348\pi\) | |||||||
\(14\) | −3.49688 | − | 2.93423i | −0.934581 | − | 0.784206i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 3.99445 | − | 1.45386i | 0.968796 | − | 0.352613i | 0.191321 | − | 0.981527i | \(-0.438723\pi\) |
0.777474 | + | 0.628915i | \(0.216501\pi\) | |||||||
\(18\) | 3.52173 | 0.830079 | ||||||||
\(19\) | 4.31207 | + | 0.637234i | 0.989256 | + | 0.146191i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −10.9545 | + | 3.98712i | −2.39048 | + | 0.870062i | ||||
\(22\) | 0.594729 | − | 3.37288i | 0.126797 | − | 0.719100i | ||||
\(23\) | −3.70262 | + | 3.10687i | −0.772051 | + | 0.647827i | −0.941233 | − | 0.337757i | \(-0.890332\pi\) |
0.169183 | + | 0.985585i | \(0.445887\pi\) | |||||||
\(24\) | −1.95630 | − | 1.64153i | −0.399328 | − | 0.335076i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −0.408000 | − | 0.706677i | −0.0800154 | − | 0.138591i | ||||
\(27\) | 0.666183 | − | 1.15386i | 0.128207 | − | 0.222061i | ||||
\(28\) | 4.28956 | + | 1.56127i | 0.810651 | + | 0.295053i | ||||
\(29\) | −2.25311 | − | 0.820065i | −0.418392 | − | 0.152282i | 0.124241 | − | 0.992252i | \(-0.460350\pi\) |
−0.542633 | + | 0.839970i | \(0.682573\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.45137 | + | 5.97794i | 0.619884 | + | 1.07367i | 0.989506 | + | 0.144488i | \(0.0461536\pi\) |
−0.369623 | + | 0.929182i | \(0.620513\pi\) | |||||||
\(32\) | 0.173648 | + | 0.984808i | 0.0306970 | + | 0.174091i | ||||
\(33\) | −6.70015 | − | 5.62209i | −1.16635 | − | 0.978680i | ||||
\(34\) | −3.25630 | + | 2.73236i | −0.558451 | + | 0.468596i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −3.30934 | + | 1.20450i | −0.551557 | + | 0.200750i | ||||
\(37\) | 3.82859 | 0.629416 | 0.314708 | − | 0.949189i | \(-0.398093\pi\) | ||||
0.314708 | + | 0.949189i | \(0.398093\pi\) | |||||||
\(38\) | −4.26997 | + | 0.876010i | −0.692680 | + | 0.142108i | ||||
\(39\) | −2.08387 | −0.333687 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.12597 | − | 12.0570i | 0.332020 | − | 1.88298i | −0.122853 | − | 0.992425i | \(-0.539204\pi\) |
0.454874 | − | 0.890556i | \(-0.349684\pi\) | |||||||
\(42\) | 8.93022 | − | 7.49334i | 1.37796 | − | 1.15625i | ||||
\(43\) | −3.38122 | − | 2.83718i | −0.515631 | − | 0.432666i | 0.347474 | − | 0.937689i | \(-0.387039\pi\) |
−0.863106 | + | 0.505024i | \(0.831484\pi\) | |||||||
\(44\) | 0.594729 | + | 3.37288i | 0.0896588 | + | 0.508480i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.41672 | − | 4.18588i | 0.356325 | − | 0.617174i | ||||
\(47\) | 6.98859 | + | 2.54364i | 1.01939 | + | 0.371028i | 0.797032 | − | 0.603937i | \(-0.206402\pi\) |
0.222358 | + | 0.974965i | \(0.428625\pi\) | |||||||
\(48\) | 2.39976 | + | 0.873440i | 0.346375 | + | 0.126070i | ||||
\(49\) | −6.91895 | + | 11.9840i | −0.988421 | + | 1.71200i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.88505 | + | 10.6906i | 0.263960 | + | 1.49699i | ||||
\(52\) | 0.625092 | + | 0.524515i | 0.0866847 | + | 0.0727371i | ||||
\(53\) | −8.64770 | + | 7.25628i | −1.18785 | + | 0.996727i | −0.187959 | + | 0.982177i | \(0.560187\pi\) |
−0.999894 | + | 0.0145501i | \(0.995368\pi\) | |||||||
\(54\) | −0.231363 | + | 1.31212i | −0.0314845 | + | 0.178558i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −4.56485 | −0.610004 | ||||||||
\(57\) | −3.51484 | + | 10.5621i | −0.465552 | + | 1.39899i | ||||
\(58\) | 2.39771 | 0.314835 | ||||||||
\(59\) | 5.29935 | − | 1.92881i | 0.689917 | − | 0.251109i | 0.0268173 | − | 0.999640i | \(-0.491463\pi\) |
0.663100 | + | 0.748531i | \(0.269241\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.36453 | − | 6.17958i | 0.942932 | − | 0.791214i | −0.0351615 | − | 0.999382i | \(-0.511195\pi\) |
0.978093 | + | 0.208168i | \(0.0667501\pi\) | |||||||
\(62\) | −5.28780 | − | 4.43699i | −0.671551 | − | 0.563499i | ||||
\(63\) | −2.79160 | − | 15.8319i | −0.351708 | − | 1.99464i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 8.21895 | + | 2.99145i | 1.01168 | + | 0.368222i | ||||
\(67\) | −5.29642 | − | 1.92774i | −0.647061 | − | 0.235511i | −0.00242072 | − | 0.999997i | \(-0.500771\pi\) |
−0.644640 | + | 0.764486i | \(0.722993\pi\) | |||||||
\(68\) | 2.12540 | − | 3.68130i | 0.257743 | − | 0.446424i | ||||
\(69\) | −6.17173 | − | 10.6898i | −0.742989 | − | 1.28689i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −11.7667 | − | 9.87343i | −1.39645 | − | 1.17176i | −0.962649 | − | 0.270751i | \(-0.912728\pi\) |
−0.433800 | − | 0.901009i | \(-0.642828\pi\) | |||||||
\(72\) | 2.69780 | − | 2.26372i | 0.317939 | − | 0.266782i | ||||
\(73\) | 1.61551 | − | 9.16200i | 0.189081 | − | 1.07233i | −0.731518 | − | 0.681822i | \(-0.761188\pi\) |
0.920599 | − | 0.390509i | \(-0.127701\pi\) | |||||||
\(74\) | −3.59769 | + | 1.30945i | −0.418223 | + | 0.152221i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.71284 | − | 2.28359i | 0.425892 | − | 0.261946i | ||||
\(77\) | −15.6342 | −1.78168 | ||||||||
\(78\) | 1.95820 | − | 0.712727i | 0.221723 | − | 0.0807004i | ||||
\(79\) | −0.376083 | + | 2.13287i | −0.0423127 | + | 0.239967i | −0.998628 | − | 0.0523710i | \(-0.983322\pi\) |
0.956315 | + | 0.292338i | \(0.0944333\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −5.48689 | − | 4.60405i | −0.609654 | − | 0.511561i | ||||
\(82\) | 2.12597 | + | 12.0570i | 0.234774 | + | 1.33147i | ||||
\(83\) | −0.240255 | − | 0.416134i | −0.0263714 | − | 0.0456767i | 0.852538 | − | 0.522664i | \(-0.175062\pi\) |
−0.878910 | + | 0.476988i | \(0.841729\pi\) | |||||||
\(84\) | −5.82879 | + | 10.0958i | −0.635973 | + | 1.10154i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 4.14768 | + | 1.50963i | 0.447256 | + | 0.162788i | ||||
\(87\) | 3.06159 | − | 5.30284i | 0.328237 | − | 0.568524i | ||||
\(88\) | −1.71245 | − | 2.96606i | −0.182548 | − | 0.316183i | ||||
\(89\) | −0.474094 | − | 2.68872i | −0.0502539 | − | 0.285004i | 0.949316 | − | 0.314323i | \(-0.101777\pi\) |
−0.999570 | + | 0.0293186i | \(0.990666\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.85346 | + | 2.39433i | −0.299123 | + | 0.250994i | ||||
\(92\) | −0.839317 | + | 4.76000i | −0.0875048 | + | 0.496265i | ||||
\(93\) | −16.5649 | + | 6.02912i | −1.71770 | + | 0.625191i | ||||
\(94\) | −7.43710 | −0.767078 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −2.55377 | −0.260643 | ||||||||
\(97\) | 1.87426 | − | 0.682176i | 0.190303 | − | 0.0692645i | −0.245111 | − | 0.969495i | \(-0.578824\pi\) |
0.435414 | + | 0.900231i | \(0.356602\pi\) | |||||||
\(98\) | 2.40292 | − | 13.6277i | 0.242732 | − | 1.37660i | ||||
\(99\) | 9.23972 | − | 7.75304i | 0.928626 | − | 0.779210i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −0.698250 | − | 3.95997i | −0.0694784 | − | 0.394032i | −0.999639 | − | 0.0268781i | \(-0.991443\pi\) |
0.930160 | − | 0.367154i | \(-0.119668\pi\) | |||||||
\(102\) | −5.42778 | − | 9.40119i | −0.537430 | − | 0.930856i | ||||
\(103\) | −2.51914 | + | 4.36328i | −0.248218 | + | 0.429926i | −0.963031 | − | 0.269389i | \(-0.913178\pi\) |
0.714813 | + | 0.699315i | \(0.246512\pi\) | |||||||
\(104\) | −0.766789 | − | 0.279088i | −0.0751899 | − | 0.0273669i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 5.64439 | − | 9.77636i | 0.548231 | − | 0.949564i | ||||
\(107\) | −2.31512 | − | 4.00990i | −0.223811 | − | 0.387651i | 0.732151 | − | 0.681142i | \(-0.238516\pi\) |
−0.955962 | + | 0.293491i | \(0.905183\pi\) | |||||||
\(108\) | −0.231363 | − | 1.31212i | −0.0222629 | − | 0.126259i | ||||
\(109\) | −13.7948 | − | 11.5752i | −1.32130 | − | 1.10870i | −0.986027 | − | 0.166584i | \(-0.946726\pi\) |
−0.335275 | − | 0.942120i | \(-0.608829\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.69781 | + | 9.62878i | −0.161149 | + | 0.913923i | ||||
\(112\) | 4.28956 | − | 1.56127i | 0.405325 | − | 0.147526i | ||||
\(113\) | 3.77177 | 0.354818 | 0.177409 | − | 0.984137i | \(-0.443228\pi\) | ||||
0.177409 | + | 0.984137i | \(0.443228\pi\) | |||||||
\(114\) | −0.309593 | − | 11.1273i | −0.0289960 | − | 1.04217i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −2.25311 | + | 0.820065i | −0.209196 | + | 0.0761411i | ||||
\(117\) | 0.499018 | − | 2.83007i | 0.0461342 | − | 0.261640i | ||||
\(118\) | −4.32007 | + | 3.62497i | −0.397695 | + | 0.333706i | ||||
\(119\) | 14.8645 | + | 12.4728i | 1.36263 | + | 1.14338i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.365002 | − | 0.632201i | −0.0331820 | − | 0.0574728i | ||||
\(122\) | −4.80686 | + | 8.32572i | −0.435192 | + | 0.753775i | ||||
\(123\) | 29.3801 | + | 10.6935i | 2.64912 | + | 0.964199i | ||||
\(124\) | 6.48645 | + | 2.36087i | 0.582500 | + | 0.212013i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 8.03808 | + | 13.9224i | 0.716089 | + | 1.24030i | ||||
\(127\) | −3.07313 | − | 17.4286i | −0.272696 | − | 1.54653i | −0.746187 | − | 0.665736i | \(-0.768118\pi\) |
0.473491 | − | 0.880798i | \(-0.342994\pi\) | |||||||
\(128\) | 0.766044 | + | 0.642788i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | 8.63485 | − | 7.24550i | 0.760256 | − | 0.637930i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 4.37918 | − | 1.59389i | 0.382611 | − | 0.139259i | −0.143552 | − | 0.989643i | \(-0.545852\pi\) |
0.526163 | + | 0.850384i | \(0.323630\pi\) | |||||||
\(132\) | −8.74642 | −0.761278 | ||||||||
\(133\) | 7.32282 | + | 18.5013i | 0.634969 | + | 1.60426i | ||||
\(134\) | 5.63633 | 0.486905 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.738144 | + | 4.18622i | −0.0632953 | + | 0.358966i | ||||
\(137\) | 5.37802 | − | 4.51269i | 0.459475 | − | 0.385546i | −0.383463 | − | 0.923556i | \(-0.625269\pi\) |
0.842938 | + | 0.538011i | \(0.180824\pi\) | |||||||
\(138\) | 9.45564 | + | 7.93422i | 0.804918 | + | 0.675406i | ||||
\(139\) | 3.36353 | + | 19.0755i | 0.285291 | + | 1.61797i | 0.704244 | + | 0.709958i | \(0.251286\pi\) |
−0.418953 | + | 0.908008i | \(0.637603\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −9.49631 | + | 16.4481i | −0.799733 | + | 1.38518i | ||||
\(142\) | 14.4340 | + | 5.25354i | 1.21127 | + | 0.440867i | ||||
\(143\) | −2.62618 | − | 0.955853i | −0.219613 | − | 0.0799324i | ||||
\(144\) | −1.76086 | + | 3.04990i | −0.146739 | + | 0.254159i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 1.61551 | + | 9.16200i | 0.133700 | + | 0.758252i | ||||
\(147\) | −27.0711 | − | 22.7153i | −2.23278 | − | 1.87353i | ||||
\(148\) | 2.93287 | − | 2.46097i | 0.241080 | − | 0.202290i | ||||
\(149\) | −3.31009 | + | 18.7725i | −0.271173 | + | 1.53790i | 0.479687 | + | 0.877440i | \(0.340750\pi\) |
−0.750861 | + | 0.660461i | \(0.770361\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 18.2844 | 1.48796 | 0.743980 | − | 0.668202i | \(-0.232936\pi\) | ||||
0.743980 | + | 0.668202i | \(0.232936\pi\) | |||||||
\(152\) | −2.70789 | + | 3.41574i | −0.219639 | + | 0.277053i | ||||
\(153\) | −14.9702 | −1.21027 | ||||||||
\(154\) | 14.6914 | − | 5.34721i | 1.18386 | − | 0.430891i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −1.59634 | + | 1.33949i | −0.127810 | + | 0.107245i | ||||
\(157\) | 9.24679 | + | 7.75898i | 0.737974 | + | 0.619234i | 0.932293 | − | 0.361705i | \(-0.117805\pi\) |
−0.194319 | + | 0.980938i | \(0.562250\pi\) | |||||||
\(158\) | −0.376083 | − | 2.13287i | −0.0299196 | − | 0.169682i | ||||
\(159\) | −14.4144 | − | 24.9666i | −1.14314 | − | 1.97998i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −20.7333 | − | 7.54630i | −1.63401 | − | 0.594732i | ||||
\(162\) | 6.73067 | + | 2.44976i | 0.528811 | + | 0.192471i | ||||
\(163\) | −7.46264 | + | 12.9257i | −0.584519 | + | 1.01242i | 0.410416 | + | 0.911898i | \(0.365384\pi\) |
−0.994935 | + | 0.100519i | \(0.967950\pi\) | |||||||
\(164\) | −6.12148 | − | 10.6027i | −0.478007 | − | 0.827933i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.368092 | + | 0.308866i | 0.0285695 | + | 0.0239727i | ||||
\(167\) | −9.00653 | + | 7.55738i | −0.696946 | + | 0.584807i | −0.920903 | − | 0.389792i | \(-0.872547\pi\) |
0.223957 | + | 0.974599i | \(0.428103\pi\) | |||||||
\(168\) | 2.02432 | − | 11.4805i | 0.156179 | − | 0.885737i | ||||
\(169\) | 11.5903 | − | 4.21853i | 0.891562 | − | 0.324502i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −13.5026 | − | 7.30272i | −1.03257 | − | 0.558453i | ||||
\(172\) | −4.41387 | −0.336554 | ||||||||
\(173\) | −7.22448 | + | 2.62950i | −0.549267 | + | 0.199917i | −0.601721 | − | 0.798706i | \(-0.705518\pi\) |
0.0524536 | + | 0.998623i | \(0.483296\pi\) | |||||||
\(174\) | −1.06328 | + | 6.03016i | −0.0806071 | + | 0.457146i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 2.62363 | + | 2.20149i | 0.197764 | + | 0.165943i | ||||
\(177\) | 2.50085 | + | 14.1831i | 0.187976 | + | 1.06606i | ||||
\(178\) | 1.36510 | + | 2.36442i | 0.102319 | + | 0.177221i | ||||
\(179\) | 10.2549 | − | 17.7620i | 0.766488 | − | 1.32760i | −0.172968 | − | 0.984928i | \(-0.555336\pi\) |
0.939456 | − | 0.342669i | \(-0.111331\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 24.9617 | + | 9.08531i | 1.85539 | + | 0.675306i | 0.982176 | + | 0.187964i | \(0.0601888\pi\) |
0.873211 | + | 0.487342i | \(0.162033\pi\) | |||||||
\(182\) | 1.86246 | − | 3.22588i | 0.138055 | − | 0.239118i | ||||
\(183\) | 12.2756 | + | 21.2619i | 0.907438 | + | 1.57173i | ||||
\(184\) | −0.839317 | − | 4.76000i | −0.0618753 | − | 0.350912i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 13.5038 | − | 11.3310i | 0.990148 | − | 0.830832i | ||||
\(187\) | −2.52808 | + | 14.3374i | −0.184871 | + | 1.04846i | ||||
\(188\) | 6.98859 | − | 2.54364i | 0.509695 | − | 0.185514i | ||||
\(189\) | 6.08206 | 0.442405 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 17.6682 | 1.27842 | 0.639212 | − | 0.769031i | \(-0.279261\pi\) | ||||
0.639212 | + | 0.769031i | \(0.279261\pi\) | |||||||
\(192\) | 2.39976 | − | 0.873440i | 0.173187 | − | 0.0630351i | ||||
\(193\) | −2.55837 | + | 14.5092i | −0.184156 | + | 1.04440i | 0.742880 | + | 0.669425i | \(0.233459\pi\) |
−0.927036 | + | 0.374974i | \(0.877652\pi\) | |||||||
\(194\) | −1.52791 | + | 1.28207i | −0.109698 | + | 0.0920474i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.40292 | + | 13.6277i | 0.171637 | + | 0.973405i | ||||
\(197\) | 2.88336 | + | 4.99412i | 0.205431 | + | 0.355816i | 0.950270 | − | 0.311428i | \(-0.100807\pi\) |
−0.744839 | + | 0.667244i | \(0.767474\pi\) | |||||||
\(198\) | −6.03080 | + | 10.4456i | −0.428590 | + | 0.742340i | ||||
\(199\) | 4.99379 | + | 1.81759i | 0.354000 | + | 0.128846i | 0.512898 | − | 0.858449i | \(-0.328572\pi\) |
−0.158898 | + | 0.987295i | \(0.550794\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 7.19694 | − | 12.4655i | 0.507633 | − | 0.879246i | ||||
\(202\) | 2.01053 | + | 3.48234i | 0.141460 | + | 0.245017i | ||||
\(203\) | −1.90061 | − | 10.7789i | −0.133397 | − | 0.756531i | ||||
\(204\) | 8.31584 | + | 6.97782i | 0.582225 | + | 0.488545i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0.874888 | − | 4.96174i | 0.0609563 | − | 0.345700i | ||||
\(207\) | 15.9955 | − | 5.82188i | 1.11176 | − | 0.404648i | ||||
\(208\) | 0.816000 | 0.0565794 | ||||||||
\(209\) | −9.27429 | + | 11.6986i | −0.641516 | + | 0.809210i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −17.6700 | + | 6.43135i | −1.21645 | + | 0.442752i | −0.868937 | − | 0.494922i | \(-0.835196\pi\) |
−0.347515 | + | 0.937675i | \(0.612974\pi\) | |||||||
\(212\) | −1.96027 | + | 11.1173i | −0.134632 | + | 0.763537i | ||||
\(213\) | 30.0494 | − | 25.2144i | 2.05895 | − | 1.72766i | ||||
\(214\) | 3.54696 | + | 2.97625i | 0.242465 | + | 0.203453i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0.666183 | + | 1.15386i | 0.0453280 | + | 0.0785105i | ||||
\(217\) | −15.7550 | + | 27.2884i | −1.06952 | + | 1.85246i | ||||
\(218\) | 16.9218 | + | 6.15904i | 1.14609 | + | 0.417143i | ||||
\(219\) | 22.3257 | + | 8.12590i | 1.50863 | + | 0.549098i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.73433 | + | 3.00394i | 0.116663 | + | 0.202067i | ||||
\(222\) | −1.69781 | − | 9.62878i | −0.113950 | − | 0.646241i | ||||
\(223\) | −8.23688 | − | 6.91157i | −0.551583 | − | 0.462833i | 0.323894 | − | 0.946093i | \(-0.395008\pi\) |
−0.875476 | + | 0.483261i | \(0.839452\pi\) | |||||||
\(224\) | −3.49688 | + | 2.93423i | −0.233645 | + | 0.196052i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.54430 | + | 1.29002i | −0.235764 | + | 0.0858109i | ||||
\(227\) | −20.8415 | −1.38330 | −0.691648 | − | 0.722235i | \(-0.743115\pi\) | ||||
−0.691648 | + | 0.722235i | \(0.743115\pi\) | |||||||
\(228\) | 4.09669 | + | 10.3504i | 0.271310 | + | 0.685469i | ||||
\(229\) | 19.1888 | 1.26803 | 0.634015 | − | 0.773321i | \(-0.281406\pi\) | ||||
0.634015 | + | 0.773321i | \(0.281406\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 6.93310 | − | 39.3196i | 0.456164 | − | 2.58704i | ||||
\(232\) | 1.83675 | − | 1.54122i | 0.120589 | − | 0.101186i | ||||
\(233\) | 16.1774 | + | 13.5744i | 1.05981 | + | 0.889290i | 0.994091 | − | 0.108548i | \(-0.0346200\pi\) |
0.0657234 | + | 0.997838i | \(0.479064\pi\) | |||||||
\(234\) | 0.499018 | + | 2.83007i | 0.0326218 | + | 0.185007i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 2.81973 | − | 4.88391i | 0.183549 | − | 0.317915i | ||||
\(237\) | −5.19734 | − | 1.89168i | −0.337603 | − | 0.122878i | ||||
\(238\) | −18.2341 | − | 6.63666i | −1.18194 | − | 0.430191i | ||||
\(239\) | 3.07893 | − | 5.33286i | 0.199159 | − | 0.344954i | −0.749097 | − | 0.662461i | \(-0.769512\pi\) |
0.948256 | + | 0.317507i | \(0.102846\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.98528 | + | 22.6017i | 0.256715 | + | 1.45590i | 0.791633 | + | 0.610997i | \(0.209231\pi\) |
−0.534918 | + | 0.844904i | \(0.679657\pi\) | |||||||
\(242\) | 0.559215 | + | 0.469237i | 0.0359477 | + | 0.0301637i | ||||
\(243\) | 17.0742 | − | 14.3269i | 1.09531 | − | 0.919074i | ||||
\(244\) | 1.66940 | − | 9.46766i | 0.106873 | − | 0.606105i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −31.2657 | −1.99343 | ||||||||
\(247\) | 0.0989236 | + | 3.55549i | 0.00629436 | + | 0.226230i | ||||
\(248\) | −6.90273 | −0.438324 | ||||||||
\(249\) | 1.15311 | − | 0.419697i | 0.0730753 | − | 0.0265972i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −12.4104 | + | 10.4136i | −0.783341 | + | 0.657301i | −0.944088 | − | 0.329695i | \(-0.893054\pi\) |
0.160747 | + | 0.986996i | \(0.448610\pi\) | |||||||
\(252\) | −12.3151 | − | 10.3336i | −0.775776 | − | 0.650953i | ||||
\(253\) | −2.87458 | − | 16.3026i | −0.180724 | − | 1.02493i | ||||
\(254\) | 8.84871 | + | 15.3264i | 0.555218 | + | 0.961665i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 3.15450 | + | 1.14814i | 0.196772 | + | 0.0716192i | 0.438526 | − | 0.898718i | \(-0.355501\pi\) |
−0.241754 | + | 0.970338i | \(0.577723\pi\) | |||||||
\(258\) | −5.63600 | + | 9.76183i | −0.350882 | + | 0.607745i | ||||
\(259\) | 8.73847 | + | 15.1355i | 0.542982 | + | 0.940472i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 6.46853 | + | 5.42775i | 0.400392 | + | 0.335969i | ||||
\(262\) | −3.56994 | + | 2.99554i | −0.220552 | + | 0.185065i | ||||
\(263\) | 3.62047 | − | 20.5327i | 0.223248 | − | 1.26610i | −0.642760 | − | 0.766068i | \(-0.722211\pi\) |
0.866007 | − | 0.500032i | \(-0.166678\pi\) | |||||||
\(264\) | 8.21895 | − | 2.99145i | 0.505841 | − | 0.184111i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −13.2090 | − | 14.8809i | −0.809896 | − | 0.912409i | ||||
\(267\) | 6.97230 | 0.426698 | ||||||||
\(268\) | −5.29642 | + | 1.92774i | −0.323530 | + | 0.117755i | ||||
\(269\) | −1.97588 | + | 11.2058i | −0.120472 | + | 0.683228i | 0.863423 | + | 0.504480i | \(0.168316\pi\) |
−0.983895 | + | 0.178748i | \(0.942795\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.51353 | + | 3.78730i | 0.274177 | + | 0.230062i | 0.769500 | − | 0.638647i | \(-0.220506\pi\) |
−0.495322 | + | 0.868709i | \(0.664950\pi\) | |||||||
\(272\) | −0.738144 | − | 4.18622i | −0.0447566 | − | 0.253827i | ||||
\(273\) | −4.75629 | − | 8.23814i | −0.287864 | − | 0.498595i | ||||
\(274\) | −3.51025 | + | 6.07994i | −0.212062 | + | 0.367302i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −11.5991 | − | 4.22171i | −0.698181 | − | 0.254117i | ||||
\(277\) | −6.35228 | + | 11.0025i | −0.381672 | + | 0.661075i | −0.991301 | − | 0.131612i | \(-0.957985\pi\) |
0.609630 | + | 0.792686i | \(0.291318\pi\) | |||||||
\(278\) | −9.68490 | − | 16.7747i | −0.580862 | − | 1.00608i | ||||
\(279\) | −4.22131 | − | 23.9402i | −0.252723 | − | 1.43326i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 10.0997 | − | 8.47462i | 0.602495 | − | 0.505554i | −0.289751 | − | 0.957102i | \(-0.593573\pi\) |
0.892247 | + | 0.451548i | \(0.149128\pi\) | |||||||
\(282\) | 3.29803 | − | 18.7041i | 0.196395 | − | 1.11381i | ||||
\(283\) | 15.7302 | − | 5.72532i | 0.935062 | − | 0.340335i | 0.170848 | − | 0.985297i | \(-0.445349\pi\) |
0.764214 | + | 0.644963i | \(0.223127\pi\) | |||||||
\(284\) | −15.3603 | −0.911468 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.79473 | 0.165256 | ||||||||
\(287\) | 52.5169 | − | 19.1146i | 3.09997 | − | 1.12830i | ||||
\(288\) | 0.611541 | − | 3.46822i | 0.0360354 | − | 0.204367i | ||||
\(289\) | 0.819145 | − | 0.687345i | 0.0481850 | − | 0.0404320i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.884497 | + | 5.01623i | 0.0518502 | + | 0.294057i | ||||
\(292\) | −4.65167 | − | 8.05693i | −0.272218 | − | 0.471496i | ||||
\(293\) | 3.42172 | − | 5.92659i | 0.199899 | − | 0.346235i | −0.748597 | − | 0.663026i | \(-0.769272\pi\) |
0.948495 | + | 0.316791i | \(0.102605\pi\) | |||||||
\(294\) | 33.2076 | + | 12.0866i | 1.93670 | + | 0.704903i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −1.91429 | + | 3.31565i | −0.111266 | + | 0.192718i | ||||
\(297\) | 2.28162 | + | 3.95188i | 0.132393 | + | 0.229311i | ||||
\(298\) | −3.31009 | − | 18.7725i | −0.191748 | − | 1.08746i | ||||
\(299\) | −3.02134 | − | 2.53521i | −0.174729 | − | 0.146615i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.49878 | − | 19.8426i | 0.201666 | − | 1.14371i | ||||
\(302\) | −17.1817 | + | 6.25362i | −0.988694 | + | 0.359855i | ||||
\(303\) | 10.2688 | 0.589930 | ||||||||
\(304\) | 1.37634 | − | 4.13590i | 0.0789383 | − | 0.237210i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 14.0673 | − | 5.12010i | 0.804177 | − | 0.292696i | ||||
\(307\) | 4.29767 | − | 24.3733i | 0.245281 | − | 1.39106i | −0.574558 | − | 0.818464i | \(-0.694826\pi\) |
0.819839 | − | 0.572594i | \(-0.194063\pi\) | |||||||
\(308\) | −11.9765 | + | 10.0495i | −0.682424 | + | 0.572622i | ||||
\(309\) | −9.85638 | − | 8.27048i | −0.560710 | − | 0.470491i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5.82580 | + | 10.0906i | 0.330351 | + | 0.572184i | 0.982581 | − | 0.185837i | \(-0.0594997\pi\) |
−0.652230 | + | 0.758021i | \(0.726166\pi\) | |||||||
\(312\) | 1.04194 | − | 1.80469i | 0.0589881 | − | 0.102170i | ||||
\(313\) | −14.5483 | − | 5.29514i | −0.822317 | − | 0.299299i | −0.103615 | − | 0.994617i | \(-0.533041\pi\) |
−0.718702 | + | 0.695319i | \(0.755263\pi\) | |||||||
\(314\) | −11.3429 | − | 4.12847i | −0.640115 | − | 0.232983i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.08289 | + | 1.87562i | 0.0609173 | + | 0.105512i | ||||
\(317\) | −1.31336 | − | 7.44843i | −0.0737656 | − | 0.418346i | −0.999220 | − | 0.0394868i | \(-0.987428\pi\) |
0.925454 | − | 0.378859i | \(-0.123683\pi\) | |||||||
\(318\) | 22.0842 | + | 18.5309i | 1.23842 | + | 1.03916i | ||||
\(319\) | 6.29071 | − | 5.27853i | 0.352212 | − | 0.295541i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 11.1114 | − | 4.04423i | 0.620179 | − | 0.225727i | ||||
\(322\) | 22.0639 | 1.22957 | ||||||||
\(323\) | 18.1508 | − | 3.72375i | 1.00994 | − | 0.207195i | ||||
\(324\) | −7.16262 | −0.397924 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 2.59175 | − | 14.6985i | 0.143544 | − | 0.814077i | ||||
\(327\) | 35.2287 | − | 29.5604i | 1.94815 | − | 1.63469i | ||||
\(328\) | 9.37865 | + | 7.86962i | 0.517849 | + | 0.434527i | ||||
\(329\) | 5.89523 | + | 33.4335i | 0.325014 | + | 1.84325i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.69302 | + | 8.12854i | −0.257952 | + | 0.446785i | −0.965693 | − | 0.259686i | \(-0.916381\pi\) |
0.707741 | + | 0.706472i | \(0.249714\pi\) | |||||||
\(332\) | −0.451532 | − | 0.164344i | −0.0247811 | − | 0.00901956i | ||||
\(333\) | −12.6701 | − | 4.61154i | −0.694317 | − | 0.252711i | ||||
\(334\) | 5.87860 | − | 10.1820i | 0.321662 | − | 0.557136i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 2.02432 | + | 11.4805i | 0.110436 | + | 0.626311i | ||||
\(337\) | −6.52647 | − | 5.47636i | −0.355520 | − | 0.298316i | 0.447482 | − | 0.894293i | \(-0.352321\pi\) |
−0.803002 | + | 0.595976i | \(0.796765\pi\) | |||||||
\(338\) | −9.44850 | + | 7.92823i | −0.513931 | + | 0.431239i | ||||
\(339\) | −1.67262 | + | 9.48589i | −0.0908441 | + | 0.515203i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −23.6412 | −1.28024 | ||||||||
\(342\) | 15.1859 | + | 2.24416i | 0.821161 | + | 0.121350i | ||||
\(343\) | −31.2140 | −1.68540 | ||||||||
\(344\) | 4.14768 | − | 1.50963i | 0.223628 | − | 0.0813939i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 5.88945 | − | 4.94184i | 0.316619 | − | 0.265675i | ||||
\(347\) | −5.21162 | − | 4.37307i | −0.279774 | − | 0.234759i | 0.492092 | − | 0.870543i | \(-0.336232\pi\) |
−0.771867 | + | 0.635784i | \(0.780677\pi\) | |||||||
\(348\) | −1.06328 | − | 6.03016i | −0.0569978 | − | 0.323251i | ||||
\(349\) | 1.90811 | + | 3.30495i | 0.102139 | + | 0.176910i | 0.912566 | − | 0.408930i | \(-0.134098\pi\) |
−0.810427 | + | 0.585840i | \(0.800765\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.02164 | + | 0.371848i | 0.0545313 | + | 0.0198478i | ||||
\(352\) | −3.21836 | − | 1.17139i | −0.171539 | − | 0.0624352i | ||||
\(353\) | 1.88034 | − | 3.25685i | 0.100081 | − | 0.173345i | −0.811637 | − | 0.584162i | \(-0.801423\pi\) |
0.911718 | + | 0.410817i | \(0.134757\pi\) | |||||||
\(354\) | −7.20092 | − | 12.4724i | −0.382725 | − | 0.662899i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −2.09146 | − | 1.75494i | −0.110847 | − | 0.0930116i | ||||
\(357\) | −37.9606 | + | 31.8527i | −2.00909 | + | 1.68582i | ||||
\(358\) | −3.56149 | + | 20.1982i | −0.188231 | + | 1.06751i | ||||
\(359\) | 13.6016 | − | 4.95058i | 0.717865 | − | 0.261281i | 0.0428458 | − | 0.999082i | \(-0.486358\pi\) |
0.675019 | + | 0.737800i | \(0.264135\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 18.1879 | + | 5.49559i | 0.957256 | + | 0.289242i | ||||
\(362\) | −26.5637 | −1.39616 | ||||||||
\(363\) | 1.75183 | − | 0.637614i | 0.0919472 | − | 0.0334660i | ||||
\(364\) | −0.646826 | + | 3.66833i | −0.0339029 | + | 0.192273i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −18.8073 | − | 15.7812i | −0.983073 | − | 0.824896i | ||||
\(367\) | 1.52775 | + | 8.66431i | 0.0797479 | + | 0.452273i | 0.998367 | + | 0.0571284i | \(0.0181944\pi\) |
−0.918619 | + | 0.395145i | \(0.870694\pi\) | |||||||
\(368\) | 2.41672 | + | 4.18588i | 0.125980 | + | 0.218204i | ||||
\(369\) | −21.5582 | + | 37.3399i | −1.12227 | + | 1.94383i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −48.4239 | − | 17.6248i | −2.51404 | − | 0.915036i | ||||
\(372\) | −8.81399 | + | 15.2663i | −0.456984 | + | 0.791519i | ||||
\(373\) | −3.35359 | − | 5.80859i | −0.173642 | − | 0.300757i | 0.766048 | − | 0.642783i | \(-0.222220\pi\) |
−0.939691 | + | 0.342026i | \(0.888887\pi\) | |||||||
\(374\) | −2.52808 | − | 14.3374i | −0.130724 | − | 0.741371i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −5.69715 | + | 4.78047i | −0.293808 | + | 0.246534i | ||||
\(377\) | 0.339748 | − | 1.92681i | 0.0174979 | − | 0.0992356i | ||||
\(378\) | −5.71527 | + | 2.08019i | −0.293962 | + | 0.106993i | ||||
\(379\) | −16.8707 | −0.866591 | −0.433295 | − | 0.901252i | \(-0.642649\pi\) | ||||
−0.433295 | + | 0.901252i | \(0.642649\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 45.1951 | 2.31542 | ||||||||
\(382\) | −16.6026 | + | 6.04287i | −0.849465 | + | 0.309180i | ||||
\(383\) | −1.21387 | + | 6.88419i | −0.0620258 | + | 0.351766i | 0.937962 | + | 0.346739i | \(0.112711\pi\) |
−0.999987 | + | 0.00502655i | \(0.998400\pi\) | |||||||
\(384\) | −1.95630 | + | 1.64153i | −0.0998320 | + | 0.0837690i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −2.55837 | − | 14.5092i | −0.130218 | − | 0.738501i | ||||
\(387\) | 7.77222 | + | 13.4619i | 0.395084 | + | 0.684306i | ||||
\(388\) | 0.997275 | − | 1.72733i | 0.0506290 | − | 0.0876920i | ||||
\(389\) | −11.1144 | − | 4.04531i | −0.563523 | − | 0.205106i | 0.0445218 | − | 0.999008i | \(-0.485824\pi\) |
−0.608045 | + | 0.793903i | \(0.708046\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −10.2730 | + | 17.7933i | −0.519527 | + | 0.899847i | ||||
\(392\) | −6.91895 | − | 11.9840i | −0.349460 | − | 0.605282i | ||||
\(393\) | 2.06661 | + | 11.7203i | 0.104247 | + | 0.591212i | ||||
\(394\) | −4.41756 | − | 3.70677i | −0.222553 | − | 0.186744i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 2.09447 | − | 11.8783i | 0.105251 | − | 0.596909i | ||||
\(397\) | 27.9894 | − | 10.1873i | 1.40475 | − | 0.511286i | 0.475163 | − | 0.879898i | \(-0.342389\pi\) |
0.929583 | + | 0.368612i | \(0.120167\pi\) | |||||||
\(398\) | −5.31428 | −0.266381 | ||||||||
\(399\) | −49.7774 | + | 10.2122i | −2.49199 | + | 0.511247i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −17.1199 | + | 6.23113i | −0.854927 | + | 0.311168i | −0.732047 | − | 0.681254i | \(-0.761435\pi\) |
−0.122879 | + | 0.992422i | \(0.539213\pi\) | |||||||
\(402\) | −2.49947 | + | 14.1752i | −0.124662 | + | 0.706995i | ||||
\(403\) | −4.31485 | + | 3.62059i | −0.214938 | + | 0.180354i | ||||
\(404\) | −3.08031 | − | 2.58469i | −0.153251 | − | 0.128593i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 5.47259 | + | 9.47881i | 0.271600 | + | 0.470426i | ||||
\(407\) | −6.55628 | + | 11.3558i | −0.324983 | + | 0.562887i | ||||
\(408\) | −10.2009 | − | 3.71282i | −0.505019 | − | 0.183812i | ||||
\(409\) | −17.3500 | − | 6.31489i | −0.857903 | − | 0.312251i | −0.124645 | − | 0.992201i | \(-0.539779\pi\) |
−0.733258 | + | 0.679950i | \(0.762001\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 8.96437 | + | 15.5267i | 0.442180 | + | 0.765878i | ||||
\(412\) | 0.874888 | + | 4.96174i | 0.0431026 | + | 0.244447i | ||||
\(413\) | 19.7205 | + | 16.5475i | 0.970382 | + | 0.814247i | ||||
\(414\) | −13.0396 | + | 10.9415i | −0.640863 | + | 0.537748i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −0.766789 | + | 0.279088i | −0.0375949 | + | 0.0136834i | ||||
\(417\) | −49.4660 | −2.42236 | ||||||||
\(418\) | 4.71382 | − | 14.1651i | 0.230561 | − | 0.692837i | ||||
\(419\) | −38.4546 | −1.87863 | −0.939314 | − | 0.343057i | \(-0.888537\pi\) | ||||
−0.939314 | + | 0.343057i | \(0.888537\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.36999 | − | 7.76960i | 0.0667692 | − | 0.378667i | −0.933052 | − | 0.359742i | \(-0.882865\pi\) |
0.999821 | − | 0.0189248i | \(-0.00602430\pi\) | |||||||
\(422\) | 14.4047 | − | 12.0870i | 0.701210 | − | 0.588385i | ||||
\(423\) | −20.0638 | − | 16.8355i | −0.975535 | − | 0.818571i | ||||
\(424\) | −1.96027 | − | 11.1173i | −0.0951993 | − | 0.539902i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −19.6134 | + | 33.9713i | −0.950270 | + | 1.64592i | ||||
\(427\) | 41.2386 | + | 15.0096i | 1.99568 | + | 0.726366i | ||||
\(428\) | −4.35099 | − | 1.58363i | −0.210313 | − | 0.0765477i | ||||
\(429\) | 3.56854 | − | 6.18089i | 0.172291 | − | 0.298416i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 0.372953 | + | 2.11512i | 0.0179645 | + | 0.101882i | 0.992472 | − | 0.122475i | \(-0.0390831\pi\) |
−0.974507 | + | 0.224357i | \(0.927972\pi\) | |||||||
\(432\) | −1.02065 | − | 0.856429i | −0.0491061 | − | 0.0412049i | ||||
\(433\) | 6.72774 | − | 5.64524i | 0.323314 | − | 0.271293i | −0.466655 | − | 0.884440i | \(-0.654541\pi\) |
0.789969 | + | 0.613147i | \(0.210096\pi\) | |||||||
\(434\) | 5.47165 | − | 31.0313i | 0.262648 | − | 1.48955i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −18.0078 | −0.862419 | ||||||||
\(437\) | −17.9458 | + | 11.0376i | −0.858463 | + | 0.528000i | ||||
\(438\) | −23.7586 | −1.13523 | ||||||||
\(439\) | −2.27368 | + | 0.827552i | −0.108517 | + | 0.0394969i | −0.395708 | − | 0.918376i | \(-0.629501\pi\) |
0.287191 | + | 0.957873i | \(0.407279\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 37.3318 | − | 31.3251i | 1.77771 | − | 1.49167i | ||||
\(442\) | −2.65714 | − | 2.22961i | −0.126387 | − | 0.106052i | ||||
\(443\) | 5.72598 | + | 32.4737i | 0.272050 | + | 1.54287i | 0.748180 | + | 0.663496i | \(0.230928\pi\) |
−0.476130 | + | 0.879375i | \(0.657961\pi\) | |||||||
\(444\) | 4.88866 | + | 8.46740i | 0.232005 | + | 0.401845i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 10.1040 | + | 3.67757i | 0.478440 | + | 0.174138i | ||||
\(447\) | −45.7443 | − | 16.6496i | −2.16363 | − | 0.787497i | ||||
\(448\) | 2.28243 | − | 3.95328i | 0.107835 | − | 0.186775i | ||||
\(449\) | 9.54580 | + | 16.5338i | 0.450494 | + | 0.780279i | 0.998417 | − | 0.0562503i | \(-0.0179145\pi\) |
−0.547923 | + | 0.836529i | \(0.684581\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 32.1210 | + | 26.9527i | 1.51252 | + | 1.26916i | ||||
\(452\) | 2.88934 | − | 2.42445i | 0.135903 | − | 0.114036i | ||||
\(453\) | −8.10833 | + | 45.9846i | −0.380962 | + | 2.16054i | ||||
\(454\) | 19.5846 | − | 7.12820i | 0.919149 | − | 0.334543i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −7.38966 | − | 8.32501i | −0.346052 | − | 0.389854i | ||||
\(457\) | 17.3344 | 0.810867 | 0.405434 | − | 0.914125i | \(-0.367121\pi\) | ||||
0.405434 | + | 0.914125i | \(0.367121\pi\) | |||||||
\(458\) | −18.0315 | + | 6.56294i | −0.842559 | + | 0.306666i | ||||
\(459\) | 0.983478 | − | 5.57758i | 0.0459048 | − | 0.260339i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 9.33023 | + | 7.82900i | 0.434552 | + | 0.364633i | 0.833666 | − | 0.552269i | \(-0.186238\pi\) |
−0.399114 | + | 0.916901i | \(0.630682\pi\) | |||||||
\(462\) | 6.93310 | + | 39.3196i | 0.322557 | + | 1.82931i | ||||
\(463\) | 4.15240 | + | 7.19217i | 0.192979 | + | 0.334249i | 0.946236 | − | 0.323477i | \(-0.104852\pi\) |
−0.753257 | + | 0.657726i | \(0.771519\pi\) | |||||||
\(464\) | −1.19885 | + | 2.07648i | −0.0556554 | + | 0.0963980i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −19.8445 | − | 7.22280i | −0.919278 | − | 0.334590i | ||||
\(467\) | −4.05543 | + | 7.02421i | −0.187663 | + | 0.325042i | −0.944471 | − | 0.328596i | \(-0.893425\pi\) |
0.756808 | + | 0.653638i | \(0.226758\pi\) | |||||||
\(468\) | −1.43686 | − | 2.48872i | −0.0664191 | − | 0.115041i | ||||
\(469\) | −4.46780 | − | 25.3382i | −0.206304 | − | 1.17001i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −23.6142 | + | 19.8146i | −1.08808 | + | 0.913010i | ||||
\(472\) | −0.979281 | + | 5.55378i | −0.0450750 | + | 0.255633i | ||||
\(473\) | 14.2054 | − | 5.17035i | 0.653166 | − | 0.237733i | ||||
\(474\) | 5.53089 | 0.254042 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 19.4043 | 0.889394 | ||||||||
\(477\) | 37.3584 | − | 13.5973i | 1.71052 | − | 0.622579i | ||||
\(478\) | −1.06930 | + | 6.06431i | −0.0489087 | + | 0.277375i | ||||
\(479\) | 24.1256 | − | 20.2438i | 1.10233 | − | 0.924962i | 0.104747 | − | 0.994499i | \(-0.466597\pi\) |
0.997579 | + | 0.0695374i | \(0.0221523\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.542499 | + | 3.07666i | 0.0247358 | + | 0.140284i | ||||
\(482\) | −11.4752 | − | 19.8756i | −0.522680 | − | 0.905308i | ||||
\(483\) | 28.1731 | − | 48.7972i | 1.28192 | − | 2.22035i | ||||
\(484\) | −0.685978 | − | 0.249676i | −0.0311808 | − | 0.0113489i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −11.1444 | + | 19.3026i | −0.505520 | + | 0.875586i | ||||
\(487\) | 7.83611 | + | 13.5725i | 0.355088 | + | 0.615030i | 0.987133 | − | 0.159901i | \(-0.0511176\pi\) |
−0.632045 | + | 0.774932i | \(0.717784\pi\) | |||||||
\(488\) | 1.66940 | + | 9.46766i | 0.0755704 | + | 0.428581i | ||||
\(489\) | −29.1983 | − | 24.5003i | −1.32039 | − | 1.10794i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −2.50123 | + | 14.1852i | −0.112879 | + | 0.640168i | 0.874900 | + | 0.484304i | \(0.160927\pi\) |
−0.987779 | + | 0.155864i | \(0.950184\pi\) | |||||||
\(492\) | 29.3801 | − | 10.6935i | 1.32456 | − | 0.482100i | ||||
\(493\) | −10.1922 | −0.459033 | ||||||||
\(494\) | −1.30901 | − | 3.30723i | −0.0588949 | − | 0.148799i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 6.48645 | − | 2.36087i | 0.291250 | − | 0.106006i | ||||
\(497\) | 12.1758 | − | 69.0524i | 0.546159 | − | 3.09742i | ||||
\(498\) | −0.940022 | + | 0.788772i | −0.0421234 | + | 0.0353457i | ||||
\(499\) | −17.3717 | − | 14.5766i | −0.777666 | − | 0.652539i | 0.164994 | − | 0.986295i | \(-0.447240\pi\) |
−0.942660 | + | 0.333756i | \(0.891684\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −15.0126 | − | 26.0025i | −0.670712 | − | 1.16171i | ||||
\(502\) | 8.10035 | − | 14.0302i | 0.361536 | − | 0.626199i | ||||
\(503\) | −25.4664 | − | 9.26902i | −1.13549 | − | 0.413285i | −0.295208 | − | 0.955433i | \(-0.595389\pi\) |
−0.840283 | + | 0.542148i | \(0.817611\pi\) | |||||||
\(504\) | 15.1067 | + | 5.49837i | 0.672904 | + | 0.244917i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 8.27704 | + | 14.3362i | 0.367959 | + | 0.637324i | ||||
\(507\) | 5.46966 | + | 31.0200i | 0.242916 | + | 1.37765i | ||||
\(508\) | −13.5570 | − | 11.3757i | −0.601495 | − | 0.504714i | ||||
\(509\) | −5.88641 | + | 4.93928i | −0.260910 | + | 0.218930i | −0.763853 | − | 0.645390i | \(-0.776695\pi\) |
0.502943 | + | 0.864320i | \(0.332251\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 39.9072 | − | 14.5250i | 1.76539 | − | 0.642550i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 3.60791 | − | 4.55102i | 0.159293 | − | 0.200933i | ||||
\(514\) | −3.35695 | −0.148069 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 1.95736 | − | 11.1007i | 0.0861680 | − | 0.488683i | ||||
\(517\) | −19.5122 | + | 16.3727i | −0.858146 | + | 0.720070i | ||||
\(518\) | −13.3881 | − | 11.2340i | −0.588240 | − | 0.493592i | ||||
\(519\) | −3.40936 | − | 19.3354i | −0.149654 | − | 0.848731i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −6.14900 | + | 10.6504i | −0.269393 | + | 0.466602i | −0.968705 | − | 0.248214i | \(-0.920156\pi\) |
0.699312 | + | 0.714816i | \(0.253490\pi\) | |||||||
\(522\) | −7.93483 | − | 2.88804i | −0.347298 | − | 0.126406i | ||||
\(523\) | −13.8543 | − | 5.04254i | −0.605805 | − | 0.220495i | 0.0208617 | − | 0.999782i | \(-0.493359\pi\) |
−0.626667 | + | 0.779287i | \(0.715581\pi\) | |||||||
\(524\) | 2.33011 | − | 4.03588i | 0.101791 | − | 0.176308i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 3.62047 | + | 20.5327i | 0.157860 | + | 0.895268i | ||||
\(527\) | 22.4774 | + | 18.8608i | 0.979131 | + | 0.821588i | ||||
\(528\) | −6.70015 | + | 5.62209i | −0.291586 | + | 0.244670i | ||||
\(529\) | 0.0628742 | − | 0.356577i | 0.00273366 | − | 0.0155033i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −19.8606 | −0.861877 | ||||||||
\(532\) | 17.5020 | + | 9.46576i | 0.758807 | + | 0.410393i | ||||
\(533\) | 9.99026 | 0.432726 | ||||||||
\(534\) | −6.55182 | + | 2.38467i | −0.283525 | + | 0.103195i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 4.31768 | − | 3.62297i | 0.186495 | − | 0.156488i | ||||
\(537\) | 40.1234 | + | 33.6675i | 1.73145 | + | 1.45286i | ||||
\(538\) | −1.97588 | − | 11.2058i | −0.0851863 | − | 0.483115i | ||||
\(539\) | −23.6968 | − | 41.0440i | −1.02069 | − | 1.76789i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −30.4211 | − | 11.0724i | −1.30790 | − | 0.476038i | −0.408341 | − | 0.912829i | \(-0.633893\pi\) |
−0.899563 | + | 0.436791i | \(0.856115\pi\) | |||||||
\(542\) | −5.53666 | − | 2.01518i | −0.237820 | − | 0.0865594i | ||||
\(543\) | −33.9187 | + | 58.7489i | −1.45559 | + | 2.52116i | ||||
\(544\) | 2.12540 | + | 3.68130i | 0.0911258 | + | 0.157835i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 7.28706 | + | 6.11457i | 0.311857 | + | 0.261679i | ||||
\(547\) | 23.8367 | − | 20.0014i | 1.01918 | − | 0.855196i | 0.0296585 | − | 0.999560i | \(-0.490558\pi\) |
0.989525 | + | 0.144364i | \(0.0461136\pi\) | |||||||
\(548\) | 1.21910 | − | 6.91385i | 0.0520773 | − | 0.295345i | ||||
\(549\) | −31.8150 | + | 11.5797i | −1.35783 | + | 0.494211i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −9.19299 | − | 4.97193i | −0.391634 | − | 0.211811i | ||||
\(552\) | 12.3435 | 0.525373 | ||||||||
\(553\) | −9.29023 | + | 3.38137i | −0.395061 | + | 0.143790i | ||||
\(554\) | 2.20612 | − | 12.5116i | 0.0937292 | − | 0.531565i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 14.8381 | + | 12.4507i | 0.629277 | + | 0.528026i | ||||
\(557\) | −0.866290 | − | 4.91297i | −0.0367059 | − | 0.208169i | 0.960939 | − | 0.276760i | \(-0.0892608\pi\) |
−0.997645 | + | 0.0685909i | \(0.978150\pi\) | |||||||
\(558\) | 12.1548 | + | 21.0527i | 0.514552 | + | 0.891231i | ||||
\(559\) | 1.80086 | − | 3.11918i | 0.0761682 | − | 0.131927i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −34.9371 | − | 12.7161i | −1.47505 | − | 0.536873i | ||||
\(562\) | −6.59209 | + | 11.4178i | −0.278070 | + | 0.481632i | ||||
\(563\) | −13.0247 | − | 22.5594i | −0.548924 | − | 0.950764i | −0.998349 | − | 0.0574458i | \(-0.981704\pi\) |
0.449425 | − | 0.893318i | \(-0.351629\pi\) | |||||||
\(564\) | 3.29803 | + | 18.7041i | 0.138872 | + | 0.787584i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −12.8234 | + | 10.7601i | −0.539006 | + | 0.452280i | ||||
\(567\) | 5.67766 | − | 32.1996i | 0.238439 | − | 1.35226i | ||||
\(568\) | 14.4340 | − | 5.25354i | 0.605637 | − | 0.220434i | ||||
\(569\) | 33.8230 | 1.41793 | 0.708967 | − | 0.705242i | \(-0.249162\pi\) | ||||
0.708967 | + | 0.705242i | \(0.249162\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 41.6528 | 1.74312 | 0.871558 | − | 0.490293i | \(-0.163110\pi\) | ||||
0.871558 | + | 0.490293i | \(0.163110\pi\) | |||||||
\(572\) | −2.62618 | + | 0.955853i | −0.109806 | + | 0.0399662i | ||||
\(573\) | −7.83507 | + | 44.4349i | −0.327315 | + | 1.85630i | ||||
\(574\) | −42.8122 | + | 35.9237i | −1.78695 | + | 1.49943i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0.611541 | + | 3.46822i | 0.0254809 | + | 0.144509i | ||||
\(577\) | −18.0943 | − | 31.3403i | −0.753276 | − | 1.30471i | −0.946227 | − | 0.323504i | \(-0.895139\pi\) |
0.192951 | − | 0.981208i | \(-0.438194\pi\) | |||||||
\(578\) | −0.534659 | + | 0.926057i | −0.0222389 | + | 0.0385189i | ||||
\(579\) | −35.3558 | − | 12.8685i | −1.46934 | − | 0.534795i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 1.09673 | − | 1.89959i | 0.0455000 | − | 0.0788084i | ||||
\(582\) | −2.54681 | − | 4.41120i | −0.105569 | − | 0.182850i | ||||
\(583\) | −6.71376 | − | 38.0756i | −0.278056 | − | 1.57693i | ||||
\(584\) | 7.12677 | + | 5.98007i | 0.294908 | + | 0.247457i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.18835 | + | 6.73947i | −0.0490903 | + | 0.278405i | ||||
\(587\) | −26.6275 | + | 9.69163i | −1.09904 | + | 0.400016i | −0.826961 | − | 0.562260i | \(-0.809932\pi\) |
−0.272075 | + | 0.962276i | \(0.587710\pi\) | |||||||
\(588\) | −35.3388 | −1.45735 | ||||||||
\(589\) | 11.0732 | + | 27.9766i | 0.456263 | + | 1.15276i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −13.8387 | + | 5.03687i | −0.569248 | + | 0.207189i | ||||
\(592\) | 0.664827 | − | 3.77042i | 0.0273242 | − | 0.154963i | ||||
\(593\) | 34.2107 | − | 28.7061i | 1.40486 | − | 1.17882i | 0.445972 | − | 0.895047i | \(-0.352858\pi\) |
0.958892 | − | 0.283773i | \(-0.0915862\pi\) | |||||||
\(594\) | −3.49564 | − | 2.93319i | −0.143428 | − | 0.120350i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 9.53103 | + | 16.5082i | 0.390406 | + | 0.676203i | ||||
\(597\) | −6.78572 | + | 11.7532i | −0.277721 | + | 0.481027i | ||||
\(598\) | 3.70622 | + | 1.34896i | 0.151559 | + | 0.0551629i | ||||
\(599\) | −10.8852 | − | 3.96190i | −0.444759 | − | 0.161879i | 0.109926 | − | 0.993940i | \(-0.464939\pi\) |
−0.554684 | + | 0.832061i | \(0.687161\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.22575 | + | 2.12305i | 0.0499992 | + | 0.0866012i | 0.889942 | − | 0.456074i | \(-0.150745\pi\) |
−0.839943 | + | 0.542675i | \(0.817411\pi\) | |||||||
\(602\) | 3.49878 | + | 19.8426i | 0.142600 | + | 0.808722i | ||||
\(603\) | 15.2057 | + | 12.7591i | 0.619224 | + | 0.519590i | ||||
\(604\) | 14.0066 | − | 11.7530i | 0.569922 | − | 0.478221i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −9.64956 | + | 3.51215i | −0.391987 | + | 0.142671i | ||||
\(607\) | 22.4395 | 0.910790 | 0.455395 | − | 0.890290i | \(-0.349498\pi\) | ||||
0.455395 | + | 0.890290i | \(0.349498\pi\) | |||||||
\(608\) | 0.121230 | + | 4.35721i | 0.00491652 | + | 0.176708i | ||||
\(609\) | 27.9515 | 1.13265 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −1.05381 | + | 5.97648i | −0.0426328 | + | 0.241782i | ||||
\(612\) | −11.4678 | + | 9.62263i | −0.463559 | + | 0.388972i | ||||
\(613\) | 17.6927 | + | 14.8459i | 0.714602 | + | 0.599622i | 0.925886 | − | 0.377802i | \(-0.123320\pi\) |
−0.211284 | + | 0.977425i | \(0.567765\pi\) | |||||||
\(614\) | 4.29767 | + | 24.3733i | 0.173440 | + | 0.983626i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 7.81711 | − | 13.5396i | 0.314960 | − | 0.545527i | ||||
\(617\) | −15.3738 | − | 5.59562i | −0.618928 | − | 0.225271i | 0.0134772 | − | 0.999909i | \(-0.495710\pi\) |
−0.632405 | + | 0.774638i | \(0.717932\pi\) | |||||||
\(618\) | 12.0906 | + | 4.40063i | 0.486357 | + | 0.177019i | ||||
\(619\) | −5.96422 | + | 10.3303i | −0.239722 | + | 0.415211i | −0.960635 | − | 0.277815i | \(-0.910390\pi\) |
0.720912 | + | 0.693026i | \(0.243723\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1.11828 | + | 6.34207i | 0.0448749 | + | 0.254498i | ||||
\(622\) | −8.92564 | − | 7.48950i | −0.357886 | − | 0.300302i | ||||
\(623\) | 9.54719 | − | 8.01104i | 0.382500 | − | 0.320956i | ||||
\(624\) | −0.361861 | + | 2.05222i | −0.0144860 | + | 0.0821544i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 15.4819 | 0.618783 | ||||||||
\(627\) | −25.3089 | − | 28.5124i | −1.01074 | − | 1.13868i | ||||
\(628\) | 12.0708 | 0.481678 | ||||||||
\(629\) | 15.2931 | − | 5.56623i | 0.609775 | − | 0.221940i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 21.5749 | − | 18.1035i | 0.858883 | − | 0.720688i | −0.102844 | − | 0.994697i | \(-0.532794\pi\) |
0.961727 | + | 0.274009i | \(0.0883499\pi\) | |||||||
\(632\) | −1.65908 | − | 1.39214i | −0.0659947 | − | 0.0553762i | ||||
\(633\) | −8.33877 | − | 47.2915i | −0.331436 | − | 1.87967i | ||||
\(634\) | 3.78167 | + | 6.55004i | 0.150189 | + | 0.260135i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −27.0903 | − | 9.86006i | −1.07420 | − | 0.390977i | ||||
\(637\) | −10.6107 | − | 3.86200i | −0.420413 | − | 0.153018i | ||||
\(638\) | −4.10597 | + | 7.11174i | −0.162557 | + | 0.281557i | ||||
\(639\) | 27.0474 | + | 46.8475i | 1.06998 | + | 1.85326i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −9.66506 | − | 8.10994i | −0.381747 | − | 0.320324i | 0.431641 | − | 0.902045i | \(-0.357935\pi\) |
−0.813388 | + | 0.581722i | \(0.802379\pi\) | |||||||
\(642\) | −9.05811 | + | 7.60066i | −0.357495 | + | 0.299974i | ||||
\(643\) | −0.605419 | + | 3.43350i | −0.0238754 | + | 0.135404i | −0.994416 | − | 0.105535i | \(-0.966344\pi\) |
0.970540 | + | 0.240939i | \(0.0774555\pi\) | |||||||
\(644\) | −20.7333 | + | 7.54630i | −0.817006 | + | 0.297366i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −15.7826 | + | 9.70711i | −0.620956 | + | 0.381921i | ||||
\(647\) | 41.3497 | 1.62562 | 0.812812 | − | 0.582526i | \(-0.197936\pi\) | ||||
0.812812 | + | 0.582526i | \(0.197936\pi\) | |||||||
\(648\) | 6.73067 | − | 2.44976i | 0.264405 | − | 0.0962357i | ||||
\(649\) | −3.35395 | + | 19.0212i | −0.131654 | + | 0.746647i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −61.6429 | − | 51.7246i | −2.41598 | − | 2.02725i | ||||
\(652\) | 2.59175 | + | 14.6985i | 0.101501 | + | 0.575639i | ||||
\(653\) | 12.3851 | + | 21.4517i | 0.484668 | + | 0.839469i | 0.999845 | − | 0.0176147i | \(-0.00560722\pi\) |
−0.515177 | + | 0.857084i | \(0.672274\pi\) | |||||||
\(654\) | −22.9939 | + | 39.8266i | −0.899133 | + | 1.55734i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −11.5046 | − | 4.18734i | −0.449180 | − | 0.163488i | ||||
\(657\) | −16.3819 | + | 28.3743i | −0.639119 | + | 1.10699i | ||||
\(658\) | −16.9746 | − | 29.4009i | −0.661740 | − | 1.14617i | ||||
\(659\) | 5.30246 | + | 30.0718i | 0.206555 | + | 1.17143i | 0.894975 | + | 0.446117i | \(0.147194\pi\) |
−0.688420 | + | 0.725312i | \(0.741695\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 5.85365 | − | 4.91180i | 0.227681 | − | 0.191047i | −0.521810 | − | 0.853062i | \(-0.674743\pi\) |
0.749491 | + | 0.662015i | \(0.230299\pi\) | |||||||
\(662\) | 1.62987 | − | 9.24344i | 0.0633466 | − | 0.359256i | ||||
\(663\) | −8.32393 | + | 3.02966i | −0.323274 | + | 0.117662i | ||||
\(664\) | 0.480511 | 0.0186474 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 13.4832 | 0.522465 | ||||||||
\(667\) | 10.8903 | − | 3.96373i | 0.421672 | − | 0.153476i | ||||
\(668\) | −2.04161 | + | 11.5786i | −0.0789924 | + | 0.447988i | ||||
\(669\) | 21.0351 | − | 17.6505i | 0.813263 | − | 0.682409i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 5.71756 | + | 32.4259i | 0.220724 | + | 1.25179i | ||||
\(672\) | −5.82879 | − | 10.0958i | −0.224850 | − | 0.389452i | ||||
\(673\) | 13.8374 | − | 23.9670i | 0.533392 | − | 0.923861i | −0.465848 | − | 0.884865i | \(-0.654251\pi\) |
0.999239 | − | 0.0389966i | \(-0.0124161\pi\) | |||||||
\(674\) | 8.00591 | + | 2.91391i | 0.308376 | + | 0.112240i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 6.16707 | − | 10.6817i | 0.237195 | − | 0.410834i | ||||
\(677\) | 8.70125 | + | 15.0710i | 0.334416 | + | 0.579226i | 0.983373 | − | 0.181600i | \(-0.0581275\pi\) |
−0.648956 | + | 0.760826i | \(0.724794\pi\) | |||||||
\(678\) | −1.67262 | − | 9.48589i | −0.0642365 | − | 0.364303i | ||||
\(679\) | 6.97471 | + | 5.85247i | 0.267665 | + | 0.224597i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 9.24229 | − | 52.4156i | 0.354165 | − | 2.00857i | ||||
\(682\) | 22.2155 | − | 8.08578i | 0.850675 | − | 0.309621i | ||||
\(683\) | 16.0345 | 0.613545 | 0.306772 | − | 0.951783i | \(-0.400751\pi\) | ||||
0.306772 | + | 0.951783i | \(0.400751\pi\) | |||||||
\(684\) | −15.0376 | + | 3.08507i | −0.574979 | + | 0.117961i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 29.3315 | − | 10.6758i | 1.11988 | − | 0.407604i | ||||
\(687\) | −8.50939 | + | 48.2592i | −0.324654 | + | 1.84120i | ||||
\(688\) | −3.38122 | + | 2.83718i | −0.128908 | + | 0.108166i | ||||
\(689\) | −7.05652 | − | 5.92113i | −0.268832 | − | 0.225577i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.9510 | − | 39.7524i | −0.873099 | − | 1.51225i | −0.858775 | − | 0.512354i | \(-0.828774\pi\) |
−0.0143239 | − | 0.999897i | \(-0.504560\pi\) | |||||||
\(692\) | −3.84407 | + | 6.65812i | −0.146130 | + | 0.253104i | ||||
\(693\) | 51.7389 | + | 18.8314i | 1.96540 | + | 0.715347i | ||||
\(694\) | 6.39300 | + | 2.32686i | 0.242675 | + | 0.0883264i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 3.06159 | + | 5.30284i | 0.116049 | + | 0.201004i | ||||
\(697\) | −9.03707 | − | 51.2518i | −0.342303 | − | 1.94130i | ||||
\(698\) | −2.92340 | − | 2.45303i | −0.110652 | − | 0.0928484i | ||||
\(699\) | −41.3132 | + | 34.6659i | −1.56261 | + | 1.31119i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −22.3326 | + | 8.12842i | −0.843492 | + | 0.307006i | −0.727384 | − | 0.686231i | \(-0.759264\pi\) |
−0.116108 | + | 0.993237i | \(0.537042\pi\) | |||||||
\(702\) | −1.08721 | −0.0410341 | ||||||||
\(703\) | 16.5091 | + | 2.43970i | 0.622653 | + | 0.0920152i | ||||
\(704\) | 3.42491 | 0.129081 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −0.653037 | + | 3.70356i | −0.0245774 | + | 0.139385i | ||||
\(707\) | 14.0612 | − | 11.7987i | 0.528825 | − | 0.443737i | ||||
\(708\) | 11.0325 | + | 9.25733i | 0.414625 | + | 0.347912i | ||||
\(709\) | −2.18071 | − | 12.3674i | −0.0818984 | − | 0.464469i | −0.997983 | − | 0.0634836i | \(-0.979779\pi\) |
0.916084 | − | 0.400985i | \(-0.131332\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 3.81364 | − | 6.60542i | 0.143023 | − | 0.247722i | ||||
\(712\) | 2.56555 | + | 0.933784i | 0.0961480 | + | 0.0349950i | ||||
\(713\) | −31.3518 | − | 11.4111i | −1.17413 | − | 0.427350i | ||||
\(714\) | 24.7770 | − | 42.9151i | 0.927257 | − | 1.60606i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −3.56149 | − | 20.1982i | −0.133099 | − | 0.754844i | ||||
\(717\) | 12.0466 | + | 10.1083i | 0.449889 | + | 0.377502i | ||||
\(718\) | −11.0881 | + | 9.30404i | −0.413805 | + | 0.347224i | ||||
\(719\) | 1.20794 | − | 6.85055i | 0.0450485 | − | 0.255483i | −0.953964 | − | 0.299922i | \(-0.903039\pi\) |
0.999012 | + | 0.0444399i | \(0.0141503\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −22.9990 | −0.856528 | ||||||||
\(722\) | −18.9706 | + | 1.05645i | −0.706013 | + | 0.0393169i | ||||
\(723\) | −58.6098 | −2.17972 | ||||||||
\(724\) | 24.9617 | − | 9.08531i | 0.927694 | − | 0.337653i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −1.42810 | + | 1.19832i | −0.0530019 | + | 0.0444739i | ||||
\(727\) | −40.0035 | − | 33.5669i | −1.48365 | − | 1.24493i | −0.902180 | − | 0.431359i | \(-0.858034\pi\) |
−0.581468 | − | 0.813569i | \(-0.697521\pi\) | |||||||
\(728\) | −0.646826 | − | 3.66833i | −0.0239730 | − | 0.135957i | ||||
\(729\) | 17.7162 | + | 30.6854i | 0.656157 | + | 1.13650i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −17.6310 | − | 6.41715i | −0.652105 | − | 0.237347i | ||||
\(732\) | 23.0706 | + | 8.39700i | 0.852713 | + | 0.310362i | ||||
\(733\) | −14.2340 | + | 24.6540i | −0.525744 | + | 0.910615i | 0.473806 | + | 0.880629i | \(0.342880\pi\) |
−0.999550 | + | 0.0299862i | \(0.990454\pi\) | |||||||
\(734\) | −4.39898 | − | 7.61926i | −0.162369 | − | 0.281232i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.70262 | − | 3.10687i | −0.136481 | − | 0.114521i | ||||
\(737\) | 14.7877 | − | 12.4083i | 0.544711 | − | 0.457067i | ||||
\(738\) | 7.48707 | − | 42.4613i | 0.275603 | − | 1.56302i | ||||
\(739\) | 7.54033 | − | 2.74446i | 0.277376 | − | 0.100956i | −0.199587 | − | 0.979880i | \(-0.563960\pi\) |
0.476962 | + | 0.878924i | \(0.341738\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −8.98581 | − | 1.32792i | −0.330102 | − | 0.0487822i | ||||
\(742\) | 51.5316 | 1.89178 | ||||||||
\(743\) | −16.1528 | + | 5.87914i | −0.592589 | + | 0.215685i | −0.620868 | − | 0.783915i | \(-0.713220\pi\) |
0.0282789 | + | 0.999600i | \(0.490997\pi\) | |||||||
\(744\) | 3.06107 | − | 17.3602i | 0.112224 | − | 0.636455i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 5.13800 | + | 4.31129i | 0.188115 | + | 0.157848i | ||||
\(747\) | 0.293852 | + | 1.66652i | 0.0107515 | + | 0.0609747i | ||||
\(748\) | 7.27931 | + | 12.6081i | 0.266158 | + | 0.460999i | ||||
\(749\) | 10.5682 | − | 18.3046i | 0.386152 | − | 0.668835i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 39.3470 | + | 14.3211i | 1.43579 | + | 0.522585i | 0.938585 | − | 0.345048i | \(-0.112137\pi\) |
0.497206 | + | 0.867633i | \(0.334359\pi\) | |||||||
\(752\) | 3.71855 | − | 6.44072i | 0.135602 | − | 0.234869i | ||||
\(753\) | −20.6864 | − | 35.8299i | −0.753854 | − | 1.30571i | ||||
\(754\) | 0.339748 | + | 1.92681i | 0.0123729 | + | 0.0701701i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 4.65913 | − | 3.90947i | 0.169451 | − | 0.142186i | ||||
\(757\) | −7.08380 | + | 40.1742i | −0.257465 | + | 1.46016i | 0.532200 | + | 0.846619i | \(0.321365\pi\) |
−0.789665 | + | 0.613538i | \(0.789746\pi\) | |||||||
\(758\) | 15.8533 | − | 5.77013i | 0.575817 | − | 0.209580i | ||||
\(759\) | 42.2752 | 1.53449 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 28.2817 | 1.02521 | 0.512606 | − | 0.858624i | \(-0.328680\pi\) | ||||
0.512606 | + | 0.858624i | \(0.328680\pi\) | |||||||
\(762\) | −42.4695 | + | 15.4576i | −1.53851 | + | 0.559971i | ||||
\(763\) | 14.2744 | − | 80.9543i | 0.516769 | − | 2.93074i | ||||
\(764\) | 13.5346 | − | 11.3569i | 0.489665 | − | 0.410878i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −1.21387 | − | 6.88419i | −0.0438589 | − | 0.248736i | ||||
\(767\) | 2.30090 | + | 3.98527i | 0.0830806 | + | 0.143900i | ||||
\(768\) | 1.27688 | − | 2.21163i | 0.0460756 | − | 0.0798052i | ||||
\(769\) | −30.8544 | − | 11.2301i | −1.11264 | − | 0.404967i | −0.280678 | − | 0.959802i | \(-0.590559\pi\) |
−0.831961 | + | 0.554835i | \(0.812782\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −4.28643 | + | 7.42431i | −0.154372 | + | 0.267380i | ||||
\(772\) | 7.36654 | + | 12.7592i | 0.265127 | + | 0.459214i | ||||
\(773\) | 2.57843 | + | 14.6230i | 0.0927397 | + | 0.525953i | 0.995417 | + | 0.0956341i | \(0.0304879\pi\) |
−0.902677 | + | 0.430319i | \(0.858401\pi\) | |||||||
\(774\) | −11.9077 | − | 9.99177i | −0.428014 | − | 0.359147i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −0.346350 | + | 1.96425i | −0.0124332 | + | 0.0705124i | ||||
\(777\) | −41.9404 | + | 15.2651i | −1.50460 | + | 0.547631i | ||||
\(778\) | 11.8277 | 0.424044 | ||||||||
\(779\) | 16.8504 | − | 50.6357i | 0.603729 | − | 1.81421i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 49.4351 | − | 17.9929i | 1.76893 | − | 0.643837i | ||||
\(782\) | 3.56777 | − | 20.2338i | 0.127583 | − | 0.723560i | ||||
\(783\) | −2.44723 | + | 2.05347i | −0.0874567 | + | 0.0733849i | ||||
\(784\) | 10.6004 | + | 8.89483i | 0.378587 | + | 0.317672i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −5.95057 | − | 10.3067i | −0.212250 | − | 0.367627i | ||||
\(787\) | 9.53904 | − | 16.5221i | 0.340030 | − | 0.588949i | −0.644408 | − | 0.764682i | \(-0.722896\pi\) |
0.984438 | + | 0.175733i | \(0.0562294\pi\) | |||||||
\(788\) | 5.41894 | + | 1.97233i | 0.193042 | + | 0.0702614i | ||||
\(789\) | 50.0336 | + | 18.2107i | 1.78124 | + | 0.648319i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 8.60879 | + | 14.9109i | 0.306093 | + | 0.530169i | ||||
\(792\) | 2.09447 | + | 11.8783i | 0.0744239 | + | 0.422079i | ||||
\(793\) | 6.00946 | + | 5.04253i | 0.213402 | + | 0.179066i | ||||
\(794\) | −22.8171 | + | 19.1459i | −0.809750 | + | 0.679461i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 4.99379 | − | 1.81759i | 0.177000 | − | 0.0644228i | ||||
\(797\) | 5.02894 | 0.178134 | 0.0890672 | − | 0.996026i | \(-0.471611\pi\) | ||||
0.0890672 | + | 0.996026i | \(0.471611\pi\) | |||||||
\(798\) | 43.2827 | − | 26.6212i | 1.53219 | − | 0.942379i | ||||
\(799\) | 31.6136 | 1.11841 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −1.66963 | + | 9.46895i | −0.0589935 | + | 0.334569i | ||||
\(802\) | 13.9563 | − | 11.7107i | 0.492813 | − | 0.413519i | ||||
\(803\) | 24.4085 | + | 20.4812i | 0.861359 | + | 0.722766i | ||||
\(804\) | −2.49947 | − | 14.1752i | −0.0881496 | − | 0.499921i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 2.81632 | − | 4.87800i | 0.0992005 | − | 0.171820i | ||||
\(807\) | −27.3060 | − | 9.93856i | −0.961216 | − | 0.349854i | ||||
\(808\) | 3.77856 | + | 1.37528i | 0.132929 | + | 0.0483823i | ||||
\(809\) | 11.3894 | − | 19.7270i | 0.400429 | − | 0.693564i | −0.593348 | − | 0.804946i | \(-0.702194\pi\) |
0.993778 | + | 0.111382i | \(0.0355276\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 4.11323 | + | 23.3273i | 0.144435 | + | 0.819132i | 0.967819 | + | 0.251647i | \(0.0809723\pi\) |
−0.823384 | + | 0.567485i | \(0.807917\pi\) | |||||||
\(812\) | −8.38450 | − | 7.03543i | −0.294238 | − | 0.246895i | ||||
\(813\) | −11.5265 | + | 9.67188i | −0.404252 | + | 0.339208i | ||||
\(814\) | 2.27697 | − | 12.9133i | 0.0798078 | − | 0.452613i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 10.8556 | 0.380021 | ||||||||
\(817\) | −12.7721 | − | 14.3887i | −0.446839 | − | 0.503398i | ||||
\(818\) | 18.4635 | 0.645561 | ||||||||
\(819\) | 12.3270 | − | 4.48667i | 0.430741 | − | 0.156777i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −4.27500 | + | 3.58715i | −0.149199 | + | 0.125192i | −0.714332 | − | 0.699807i | \(-0.753269\pi\) |
0.565133 | + | 0.825000i | \(0.308825\pi\) | |||||||
\(822\) | −13.7342 | − | 11.5244i | −0.479036 | − | 0.401959i | ||||
\(823\) | −0.0595499 | − | 0.337724i | −0.00207578 | − | 0.0117723i | 0.983752 | − | 0.179531i | \(-0.0574581\pi\) |
−0.985828 | + | 0.167759i | \(0.946347\pi\) | |||||||
\(824\) | −2.51914 | − | 4.36328i | −0.0877584 | − | 0.152002i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −24.1908 | − | 8.80472i | −0.841705 | − | 0.306355i | ||||
\(827\) | 39.1878 | + | 14.2632i | 1.36269 | + | 0.495980i | 0.916886 | − | 0.399149i | \(-0.130694\pi\) |
0.445807 | + | 0.895129i | \(0.352917\pi\) | |||||||
\(828\) | 8.51101 | − | 14.7415i | 0.295778 | − | 0.512303i | ||||
\(829\) | 2.81234 | + | 4.87112i | 0.0976766 | + | 0.169181i | 0.910723 | − | 0.413019i | \(-0.135526\pi\) |
−0.813046 | + | 0.582200i | \(0.802192\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −24.8539 | − | 20.8549i | −0.862173 | − | 0.723449i | ||||
\(832\) | 0.625092 | − | 0.524515i | 0.0216712 | − | 0.0181843i | ||||
\(833\) | −10.2144 | + | 57.9285i | −0.353907 | + | 2.00710i | ||||
\(834\) | 46.4828 | − | 16.9184i | 1.60957 | − | 0.585835i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0.415201 | + | 14.9231i | 0.0143600 | + | 0.516125i | ||||
\(837\) | 9.19697 | 0.317894 | ||||||||
\(838\) | 36.1355 | − | 13.1522i | 1.24828 | − | 0.454337i | ||||
\(839\) | −5.64367 | + | 32.0068i | −0.194841 | + | 1.10500i | 0.717804 | + | 0.696245i | \(0.245147\pi\) |
−0.912645 | + | 0.408753i | \(0.865964\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −17.8113 | − | 14.9455i | −0.614183 | − | 0.515360i | ||||
\(842\) | 1.36999 | + | 7.76960i | 0.0472130 | + | 0.267758i | ||||
\(843\) | 16.8347 | + | 29.1585i | 0.579816 | + | 1.00427i | ||||
\(844\) | −9.40200 | + | 16.2847i | −0.323630 | + | 0.560544i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 24.6119 | + | 8.95799i | 0.846174 | + | 0.307982i | ||||
\(847\) | 1.66618 | − | 2.88591i | 0.0572506 | − | 0.0991609i | ||||
\(848\) | 5.64439 | + | 9.77636i | 0.193829 | + | 0.335722i | ||||
\(849\) | 7.42334 | + | 42.0999i | 0.254768 | + | 1.44486i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −14.1758 | + | 11.8949i | −0.485941 | + | 0.407753i | ||||
\(852\) | 6.81165 | − | 38.6308i | 0.233363 | − | 1.32347i | ||||
\(853\) | −5.81701 | + | 2.11722i | −0.199170 | + | 0.0724921i | −0.439679 | − | 0.898155i | \(-0.644908\pi\) |
0.240509 | + | 0.970647i | \(0.422686\pi\) | |||||||
\(854\) | −43.8852 | −1.50172 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 4.63023 | 0.158258 | ||||||||
\(857\) | −25.5378 | + | 9.29500i | −0.872355 | + | 0.317511i | −0.739120 | − | 0.673573i | \(-0.764759\pi\) |
−0.133234 | + | 0.991085i | \(0.542536\pi\) | |||||||
\(858\) | −1.23934 | + | 7.02865i | −0.0423104 | + | 0.239954i | ||||
\(859\) | −7.91500 | + | 6.64147i | −0.270056 | + | 0.226604i | −0.767751 | − | 0.640748i | \(-0.778624\pi\) |
0.497695 | + | 0.867352i | \(0.334180\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 24.7836 | + | 140.555i | 0.844624 | + | 4.79010i | ||||
\(862\) | −1.07388 | − | 1.86001i | −0.0365764 | − | 0.0633521i | ||||
\(863\) | 8.76039 | − | 15.1734i | 0.298207 | − | 0.516510i | −0.677519 | − | 0.735505i | \(-0.736945\pi\) |
0.975726 | + | 0.218996i | \(0.0702781\pi\) | |||||||
\(864\) | 1.25202 | + | 0.455696i | 0.0425944 | + | 0.0155031i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −4.39122 | + | 7.60582i | −0.149220 | + | 0.258456i | ||||
\(867\) | 1.36539 | + | 2.36493i | 0.0463712 | + | 0.0803173i | ||||
\(868\) | 5.47165 | + | 31.0313i | 0.185720 | + | 1.05327i | ||||
\(869\) | −5.68221 | − | 4.76794i | −0.192756 | − | 0.161741i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.798651 | − | 4.52938i | 0.0270613 | − | 0.153472i | ||||
\(872\) | 16.9218 | − | 6.15904i | 0.573045 | − | 0.208571i | ||||
\(873\) | −7.02426 | −0.237735 | ||||||||
\(874\) | 13.0884 | − | 16.5098i | 0.442723 | − | 0.558451i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 22.3257 | − | 8.12590i | 0.754317 | − | 0.274549i | ||||
\(877\) | −5.22646 | + | 29.6407i | −0.176485 | + | 1.00090i | 0.759931 | + | 0.650004i | \(0.225233\pi\) |
−0.936416 | + | 0.350892i | \(0.885878\pi\) | |||||||
\(878\) | 1.85352 | − | 1.55529i | 0.0625533 | − | 0.0524884i | ||||
\(879\) | 13.3878 | + | 11.2337i | 0.451560 | + | 0.378904i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −8.38802 | − | 14.5285i | −0.282600 | − | 0.489477i | 0.689425 | − | 0.724357i | \(-0.257863\pi\) |
−0.972024 | + | 0.234881i | \(0.924530\pi\) | |||||||
\(882\) | −24.3666 | + | 42.2042i | −0.820467 | + | 1.42109i | ||||
\(883\) | −44.3132 | − | 16.1287i | −1.49126 | − | 0.542774i | −0.537478 | − | 0.843278i | \(-0.680623\pi\) |
−0.953781 | + | 0.300504i | \(0.902845\pi\) | |||||||
\(884\) | 3.25947 | + | 1.18635i | 0.109628 | + | 0.0399013i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −16.4873 | − | 28.5569i | −0.553902 | − | 0.959386i | ||||
\(887\) | 3.83168 | + | 21.7305i | 0.128655 | + | 0.729640i | 0.979070 | + | 0.203526i | \(0.0652402\pi\) |
−0.850414 | + | 0.526114i | \(0.823649\pi\) | |||||||
\(888\) | −7.48986 | − | 6.28474i | −0.251343 | − | 0.210902i | ||||
\(889\) | 61.8858 | − | 51.9283i | 2.07558 | − | 1.74162i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 23.0519 | − | 8.39021i | 0.772268 | − | 0.281083i | ||||
\(892\) | −10.7525 | −0.360020 | ||||||||
\(893\) | 28.5144 | + | 15.4217i | 0.954197 | + | 0.516068i | ||||
\(894\) | 48.6801 | 1.62810 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −0.792679 | + | 4.49550i | −0.0264815 | + | 0.150184i | ||||
\(897\) | 7.71580 | − | 6.47433i | 0.257623 | − | 0.216172i | ||||
\(898\) | −14.6250 | − | 12.2718i | −0.488043 | − | 0.409517i | ||||
\(899\) | −2.87401 | − | 16.2993i | −0.0958535 | − | 0.543612i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −23.9932 | + | 41.5574i | −0.799328 | + | 1.38448i | ||||
\(902\) | −39.4023 | − | 14.3413i | −1.31195 | − | 0.477512i | ||||
\(903\) | 48.3519 | + | 17.5986i | 1.60905 | + | 0.585646i | ||||
\(904\) | −1.88589 | + | 3.26645i | −0.0627236 | + | 0.108640i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −8.10833 | − | 45.9846i | −0.269381 | − | 1.52774i | ||||
\(907\) | −24.7890 | − | 20.8005i | −0.823106 | − | 0.690668i | 0.130591 | − | 0.991436i | \(-0.458312\pi\) |
−0.953697 | + | 0.300768i | \(0.902757\pi\) | |||||||
\(908\) | −15.9655 | + | 13.3966i | −0.529833 | + | 0.444583i | ||||
\(909\) | −2.45904 | + | 13.9459i | −0.0815613 | + | 0.462557i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 0.987475 | 0.0327165 | 0.0163583 | − | 0.999866i | \(-0.494793\pi\) | ||||
0.0163583 | + | 0.999866i | \(0.494793\pi\) | |||||||
\(912\) | 9.79133 | + | 5.29554i | 0.324223 | + | 0.175353i | ||||
\(913\) | 1.64571 | 0.0544649 | ||||||||
\(914\) | −16.2890 | + | 5.92870i | −0.538791 | + | 0.196104i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 14.6994 | − | 12.3343i | 0.485683 | − | 0.407537i | ||||
\(917\) | 16.2963 | + | 13.6742i | 0.538150 | + | 0.451561i | ||||
\(918\) | 0.983478 | + | 5.57758i | 0.0324596 | + | 0.184088i | ||||
\(919\) | −18.5503 | − | 32.1300i | −0.611917 | − | 1.05987i | −0.990917 | − | 0.134474i | \(-0.957065\pi\) |
0.379000 | − | 0.925396i | \(-0.376268\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 59.3923 | + | 21.6170i | 1.95704 | + | 0.712305i | ||||
\(922\) | −11.4452 | − | 4.16572i | −0.376928 | − | 0.137191i | ||||
\(923\) | 6.26702 | − | 10.8548i | 0.206281 | − | 0.357290i | ||||
\(924\) | −19.9631 | − | 34.5770i | −0.656737 | − | 1.13750i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −6.36185 | − | 5.33823i | −0.209063 | − | 0.175425i | ||||
\(927\) | 13.5923 | − | 11.4053i | 0.446428 | − | 0.374598i | ||||
\(928\) | 0.416358 | − | 2.36128i | 0.0136676 | − | 0.0775129i | ||||
\(929\) | −51.4497 | + | 18.7261i | −1.68801 | + | 0.614385i | −0.994372 | − | 0.105941i | \(-0.966215\pi\) |
−0.693636 | + | 0.720326i | \(0.743992\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −37.4716 | + | 47.2667i | −1.22808 | + | 1.54910i | ||||
\(932\) | 21.1181 | 0.691745 | ||||||||
\(933\) | −27.9610 | + | 10.1770i | −0.915402 | + | 0.333179i | ||||
\(934\) | 1.40844 | − | 7.98763i | 0.0460854 | − | 0.261363i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 2.20140 | + | 1.84720i | 0.0719551 | + | 0.0603775i | ||||
\(937\) | −3.20513 | − | 18.1772i | −0.104707 | − | 0.593822i | −0.991337 | − | 0.131343i | \(-0.958071\pi\) |
0.886630 | − | 0.462479i | \(-0.153040\pi\) | |||||||
\(938\) | 12.8645 | + | 22.2820i | 0.420041 | + | 0.727533i | ||||
\(939\) | 19.7686 | − | 34.2403i | 0.645125 | − | 1.11739i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 5.45017 | + | 1.98370i | 0.177671 | + | 0.0646668i | 0.429324 | − | 0.903151i | \(-0.358752\pi\) |
−0.251653 | + | 0.967818i | \(0.580974\pi\) | |||||||
\(942\) | 15.4130 | − | 26.6962i | 0.502184 | − | 0.869808i | ||||
\(943\) | 29.5878 | + | 51.2475i | 0.963510 | + | 1.66885i | ||||
\(944\) | −0.979281 | − | 5.55378i | −0.0318729 | − | 0.180760i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −11.5804 | + | 9.71708i | −0.376510 | + | 0.315930i | ||||
\(947\) | −5.80578 | + | 32.9262i | −0.188663 | + | 1.06996i | 0.732496 | + | 0.680771i | \(0.238355\pi\) |
−0.921159 | + | 0.389187i | \(0.872756\pi\) | |||||||
\(948\) | −5.19734 | + | 1.89168i | −0.168802 | + | 0.0614388i | ||||
\(949\) | 7.59152 | 0.246431 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 19.3150 | 0.626332 | ||||||||
\(952\) | −18.2341 | + | 6.63666i | −0.590970 | + | 0.215095i | ||||
\(953\) | 5.39450 | − | 30.5937i | 0.174745 | − | 0.991027i | −0.763693 | − | 0.645579i | \(-0.776616\pi\) |
0.938438 | − | 0.345448i | \(-0.112273\pi\) | |||||||
\(954\) | −30.4548 | + | 25.5546i | −0.986012 | + | 0.827362i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −1.06930 | − | 6.06431i | −0.0345837 | − | 0.196134i | ||||
\(957\) | 10.4857 | + | 18.1617i | 0.338954 | + | 0.587086i | ||||
\(958\) | −15.7469 | + | 27.2744i | −0.508758 | + | 0.881195i | ||||
\(959\) | 30.1149 | + | 10.9609i | 0.972460 | + | 0.353947i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8.32387 | + | 14.4174i | −0.268512 | + | 0.465076i | ||||
\(962\) | −1.56206 | − | 2.70557i | −0.0503629 | − | 0.0872312i | ||||
\(963\) | 2.83158 | + | 16.0587i | 0.0912463 | + | 0.517483i | ||||
\(964\) | 17.5810 | + | 14.7522i | 0.566245 | + | 0.475136i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −9.78440 | + | 55.4901i | −0.314808 | + | 1.78536i | ||||
\(967\) | −13.4086 | + | 4.88033i | −0.431191 | + | 0.156941i | −0.548492 | − | 0.836156i | \(-0.684798\pi\) |
0.117301 | + | 0.993096i | \(0.462576\pi\) | |||||||
\(968\) | 0.730003 | 0.0234632 | ||||||||
\(969\) | 1.31602 | + | 47.3000i | 0.0422766 | + | 1.51949i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 31.2960 | − | 11.3908i | 1.00434 | − | 0.365549i | 0.213081 | − | 0.977035i | \(-0.431650\pi\) |
0.791255 | + | 0.611486i | \(0.209428\pi\) | |||||||
\(972\) | 3.87040 | − | 21.9502i | 0.124143 | − | 0.704052i | ||||
\(973\) | −67.7339 | + | 56.8355i | −2.17145 | + | 1.82206i | ||||
\(974\) | −12.0056 | − | 10.0739i | −0.384685 | − | 0.322789i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −4.80686 | − | 8.32572i | −0.153864 | − | 0.266500i | ||||
\(977\) | 6.31564 | − | 10.9390i | 0.202055 | − | 0.349970i | −0.747135 | − | 0.664672i | \(-0.768571\pi\) |
0.949191 | + | 0.314702i | \(0.101905\pi\) | |||||||
\(978\) | 35.8170 | + | 13.0363i | 1.14530 | + | 0.416856i | ||||
\(979\) | 8.78678 | + | 3.19812i | 0.280827 | + | 0.102213i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 31.7093 | + | 54.9222i | 1.01240 | + | 1.75353i | ||||
\(982\) | −2.50123 | − | 14.1852i | −0.0798174 | − | 0.452667i | ||||
\(983\) | 26.9174 | + | 22.5864i | 0.858532 | + | 0.720394i | 0.961651 | − | 0.274275i | \(-0.0884379\pi\) |
−0.103119 | + | 0.994669i | \(0.532882\pi\) | |||||||
\(984\) | −23.9509 | + | 20.0972i | −0.763526 | + | 0.640675i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 9.57752 | − | 3.48593i | 0.305010 | − | 0.111015i | ||||
\(987\) | −86.6985 | −2.75964 | ||||||||
\(988\) | 2.36120 | + | 2.66007i | 0.0751199 | + | 0.0846282i | ||||
\(989\) | 21.3341 | 0.678386 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.83350 | − | 38.7547i | 0.217073 | − | 1.23108i | −0.660199 | − | 0.751091i | \(-0.729528\pi\) |
0.877272 | − | 0.479993i | \(-0.159361\pi\) | |||||||
\(992\) | −5.28780 | + | 4.43699i | −0.167888 | + | 0.140875i | ||||
\(993\) | −18.3619 | − | 15.4075i | −0.582697 | − | 0.488941i | ||||
\(994\) | 12.1758 | + | 69.0524i | 0.386193 | + | 2.19021i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0.613556 | − | 1.06271i | 0.0194413 | − | 0.0336733i | ||||
\(997\) | −58.0784 | − | 21.1388i | −1.83936 | − | 0.669472i | −0.989890 | − | 0.141835i | \(-0.954700\pi\) |
−0.849470 | − | 0.527637i | \(-0.823078\pi\) | |||||||
\(998\) | 21.3096 | + | 7.75605i | 0.674543 | + | 0.245514i | ||||
\(999\) | 2.55054 | − | 4.41766i | 0.0806955 | − | 0.139769i |
(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 | 950.2.l.k.651.1 | yes | 24 | |
5.2 | odd | 4 | 950.2.u.h.499.4 | 48 | |||
5.3 | odd | 4 | 950.2.u.h.499.5 | 48 | |||
5.4 | even | 2 | 950.2.l.j.651.4 | yes | 24 | ||
19.4 | even | 9 | inner | 950.2.l.k.251.1 | yes | 24 | |
95.4 | even | 18 | 950.2.l.j.251.4 | ✓ | 24 | ||
95.23 | odd | 36 | 950.2.u.h.99.4 | 48 | |||
95.42 | odd | 36 | 950.2.u.h.99.5 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.l.j.251.4 | ✓ | 24 | 95.4 | even | 18 | ||
950.2.l.j.651.4 | yes | 24 | 5.4 | even | 2 | ||
950.2.l.k.251.1 | yes | 24 | 19.4 | even | 9 | inner | |
950.2.l.k.651.1 | yes | 24 | 1.1 | even | 1 | trivial | |
950.2.u.h.99.4 | 48 | 95.23 | odd | 36 | |||
950.2.u.h.99.5 | 48 | 95.42 | odd | 36 | |||
950.2.u.h.499.4 | 48 | 5.2 | odd | 4 | |||
950.2.u.h.499.5 | 48 | 5.3 | odd | 4 |