Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,3,Mod(119,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.119");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.b (of order \(2\), degree \(1\), 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: | \(4.82290067918\) |
Analytic rank: | \(0\) |
Dimension: | \(38\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 119.16 | ||
Character | \(\chi\) | \(=\) | 177.119 |
Dual form | 177.3.b.a.119.23 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.19271i | − | 0.596357i | −0.954510 | − | 0.298178i | \(-0.903621\pi\) | ||
0.954510 | − | 0.298178i | \(-0.0963790\pi\) | |||||||
\(3\) | 0.625113 | + | 2.93415i | 0.208371 | + | 0.978050i | ||||
\(4\) | 2.57744 | 0.644359 | ||||||||
\(5\) | 0.192711i | 0.0385422i | 0.999814 | + | 0.0192711i | \(0.00613456\pi\) | ||||
−0.999814 | + | 0.0192711i | \(0.993865\pi\) | |||||||
\(6\) | 3.49960 | − | 0.745581i | 0.583266 | − | 0.124263i | ||||
\(7\) | 6.00162 | 0.857375 | 0.428687 | − | 0.903453i | \(-0.358976\pi\) | ||||
0.428687 | + | 0.903453i | \(0.358976\pi\) | |||||||
\(8\) | − | 7.84499i | − | 0.980624i | ||||||
\(9\) | −8.21847 | + | 3.66835i | −0.913163 | + | 0.407595i | ||||
\(10\) | 0.229849 | 0.0229849 | ||||||||
\(11\) | 7.32965i | 0.666332i | 0.942868 | + | 0.333166i | \(0.108117\pi\) | ||||
−0.942868 | + | 0.333166i | \(0.891883\pi\) | |||||||
\(12\) | 1.61119 | + | 7.56258i | 0.134266 | + | 0.630215i | ||||
\(13\) | 9.24069 | 0.710822 | 0.355411 | − | 0.934710i | \(-0.384341\pi\) | ||||
0.355411 | + | 0.934710i | \(0.384341\pi\) | |||||||
\(14\) | − | 7.15821i | − | 0.511301i | ||||||
\(15\) | −0.565443 | + | 0.120466i | −0.0376962 | + | 0.00803108i | ||||
\(16\) | 0.952916 | 0.0595572 | ||||||||
\(17\) | 9.92749i | 0.583970i | 0.956423 | + | 0.291985i | \(0.0943157\pi\) | ||||
−0.956423 | + | 0.291985i | \(0.905684\pi\) | |||||||
\(18\) | 4.37529 | + | 9.80227i | 0.243072 | + | 0.544571i | ||||
\(19\) | 0.266471 | 0.0140248 | 0.00701240 | − | 0.999975i | \(-0.497768\pi\) | ||||
0.00701240 | + | 0.999975i | \(0.497768\pi\) | |||||||
\(20\) | 0.496700i | 0.0248350i | ||||||||
\(21\) | 3.75169 | + | 17.6097i | 0.178652 | + | 0.838555i | ||||
\(22\) | 8.74217 | 0.397371 | ||||||||
\(23\) | 9.30188i | 0.404430i | 0.979341 | + | 0.202215i | \(0.0648139\pi\) | ||||
−0.979341 | + | 0.202215i | \(0.935186\pi\) | |||||||
\(24\) | 23.0184 | − | 4.90401i | 0.959099 | − | 0.204334i | ||||
\(25\) | 24.9629 | 0.998515 | ||||||||
\(26\) | − | 11.0215i | − | 0.423903i | ||||||
\(27\) | −15.9010 | − | 21.8211i | −0.588925 | − | 0.808188i | ||||
\(28\) | 15.4688 | 0.552457 | ||||||||
\(29\) | − | 28.6314i | − | 0.987290i | −0.869664 | − | 0.493645i | \(-0.835664\pi\) | ||
0.869664 | − | 0.493645i | \(-0.164336\pi\) | |||||||
\(30\) | 0.143682 | + | 0.674411i | 0.00478938 | + | 0.0224804i | ||||
\(31\) | −36.4525 | −1.17589 | −0.587944 | − | 0.808902i | \(-0.700062\pi\) | ||||
−0.587944 | + | 0.808902i | \(0.700062\pi\) | |||||||
\(32\) | − | 32.5165i | − | 1.01614i | ||||||
\(33\) | −21.5063 | + | 4.58186i | −0.651706 | + | 0.138844i | ||||
\(34\) | 11.8406 | 0.348254 | ||||||||
\(35\) | 1.15658i | 0.0330451i | ||||||||
\(36\) | −21.1826 | + | 9.45494i | −0.588405 | + | 0.262637i | ||||
\(37\) | 9.90726 | 0.267764 | 0.133882 | − | 0.990997i | \(-0.457256\pi\) | ||||
0.133882 | + | 0.990997i | \(0.457256\pi\) | |||||||
\(38\) | − | 0.317824i | − | 0.00836378i | ||||||
\(39\) | 5.77648 | + | 27.1136i | 0.148115 | + | 0.695219i | ||||
\(40\) | 1.51182 | 0.0377954 | ||||||||
\(41\) | − | 38.7065i | − | 0.944061i | −0.881582 | − | 0.472030i | \(-0.843521\pi\) | ||
0.881582 | − | 0.472030i | \(-0.156479\pi\) | |||||||
\(42\) | 21.0033 | − | 4.47469i | 0.500078 | − | 0.106540i | ||||
\(43\) | −39.2418 | −0.912599 | −0.456300 | − | 0.889826i | \(-0.650825\pi\) | ||||
−0.456300 | + | 0.889826i | \(0.650825\pi\) | |||||||
\(44\) | 18.8917i | 0.429357i | ||||||||
\(45\) | −0.706931 | − | 1.58379i | −0.0157096 | − | 0.0351953i | ||||
\(46\) | 11.0945 | 0.241184 | ||||||||
\(47\) | 17.9574i | 0.382073i | 0.981583 | + | 0.191037i | \(0.0611849\pi\) | ||||
−0.981583 | + | 0.191037i | \(0.938815\pi\) | |||||||
\(48\) | 0.595680 | + | 2.79600i | 0.0124100 | + | 0.0582499i | ||||
\(49\) | −12.9805 | −0.264909 | ||||||||
\(50\) | − | 29.7735i | − | 0.595471i | ||||||
\(51\) | −29.1287 | + | 6.20581i | −0.571152 | + | 0.121682i | ||||
\(52\) | 23.8173 | 0.458024 | ||||||||
\(53\) | − | 23.3905i | − | 0.441331i | −0.975350 | − | 0.220665i | \(-0.929177\pi\) | ||
0.975350 | − | 0.220665i | \(-0.0708229\pi\) | |||||||
\(54\) | −26.0263 | + | 18.9653i | −0.481968 | + | 0.351209i | ||||
\(55\) | −1.41250 | −0.0256819 | ||||||||
\(56\) | − | 47.0827i | − | 0.840762i | ||||||
\(57\) | 0.166575 | + | 0.781867i | 0.00292236 | + | 0.0137170i | ||||
\(58\) | −34.1490 | −0.588777 | ||||||||
\(59\) | 7.68115i | 0.130189i | ||||||||
\(60\) | −1.45739 | + | 0.310494i | −0.0242899 | + | 0.00517489i | ||||
\(61\) | −71.8344 | −1.17761 | −0.588807 | − | 0.808274i | \(-0.700402\pi\) | ||||
−0.588807 | + | 0.808274i | \(0.700402\pi\) | |||||||
\(62\) | 43.4774i | 0.701248i | ||||||||
\(63\) | −49.3241 | + | 22.0161i | −0.782923 | + | 0.349461i | ||||
\(64\) | −34.9712 | −0.546425 | ||||||||
\(65\) | 1.78078i | 0.0273966i | ||||||||
\(66\) | 5.46485 | + | 25.6508i | 0.0828007 | + | 0.388649i | ||||
\(67\) | −58.1753 | −0.868288 | −0.434144 | − | 0.900843i | \(-0.642949\pi\) | ||||
−0.434144 | + | 0.900843i | \(0.642949\pi\) | |||||||
\(68\) | 25.5875i | 0.376286i | ||||||||
\(69\) | −27.2931 | + | 5.81473i | −0.395552 | + | 0.0842714i | ||||
\(70\) | 1.37947 | 0.0197067 | ||||||||
\(71\) | − | 25.1511i | − | 0.354241i | −0.984189 | − | 0.177121i | \(-0.943322\pi\) | ||
0.984189 | − | 0.177121i | \(-0.0566783\pi\) | |||||||
\(72\) | 28.7782 | + | 64.4738i | 0.399697 | + | 0.895470i | ||||
\(73\) | −68.2547 | −0.934996 | −0.467498 | − | 0.883994i | \(-0.654844\pi\) | ||||
−0.467498 | + | 0.883994i | \(0.654844\pi\) | |||||||
\(74\) | − | 11.8165i | − | 0.159683i | ||||||
\(75\) | 15.6046 | + | 73.2448i | 0.208062 | + | 0.976597i | ||||
\(76\) | 0.686812 | 0.00903701 | ||||||||
\(77\) | 43.9898i | 0.571296i | ||||||||
\(78\) | 32.3387 | − | 6.88968i | 0.414599 | − | 0.0883292i | ||||
\(79\) | 72.5230 | 0.918012 | 0.459006 | − | 0.888433i | \(-0.348206\pi\) | ||||
0.459006 | + | 0.888433i | \(0.348206\pi\) | |||||||
\(80\) | 0.183637i | 0.00229547i | ||||||||
\(81\) | 54.0864 | − | 60.2964i | 0.667733 | − | 0.744401i | ||||
\(82\) | −46.1657 | −0.562997 | ||||||||
\(83\) | − | 85.5760i | − | 1.03104i | −0.856879 | − | 0.515518i | \(-0.827599\pi\) | ||
0.856879 | − | 0.515518i | \(-0.172401\pi\) | |||||||
\(84\) | 9.66975 | + | 45.3878i | 0.115116 | + | 0.540330i | ||||
\(85\) | −1.91314 | −0.0225075 | ||||||||
\(86\) | 46.8042i | 0.544235i | ||||||||
\(87\) | 84.0088 | − | 17.8979i | 0.965619 | − | 0.205723i | ||||
\(88\) | 57.5011 | 0.653421 | ||||||||
\(89\) | − | 94.8794i | − | 1.06606i | −0.846096 | − | 0.533030i | \(-0.821053\pi\) | ||
0.846096 | − | 0.533030i | \(-0.178947\pi\) | |||||||
\(90\) | −1.88900 | + | 0.843166i | −0.0209889 | + | 0.00936851i | ||||
\(91\) | 55.4591 | 0.609441 | ||||||||
\(92\) | 23.9750i | 0.260598i | ||||||||
\(93\) | −22.7869 | − | 106.957i | −0.245021 | − | 1.15008i | ||||
\(94\) | 21.4181 | 0.227852 | ||||||||
\(95\) | 0.0513519i | 0.000540546i | ||||||||
\(96\) | 95.4084 | − | 20.3265i | 0.993837 | − | 0.211735i | ||||
\(97\) | −150.163 | −1.54807 | −0.774034 | − | 0.633144i | \(-0.781764\pi\) | ||||
−0.774034 | + | 0.633144i | \(0.781764\pi\) | |||||||
\(98\) | 15.4821i | 0.157980i | ||||||||
\(99\) | −26.8877 | − | 60.2385i | −0.271593 | − | 0.608470i | ||||
\(100\) | 64.3402 | 0.643402 | ||||||||
\(101\) | 106.598i | 1.05543i | 0.849422 | + | 0.527714i | \(0.176951\pi\) | ||||
−0.849422 | + | 0.527714i | \(0.823049\pi\) | |||||||
\(102\) | 7.40175 | + | 34.7422i | 0.0725661 | + | 0.340610i | ||||
\(103\) | 45.3370 | 0.440165 | 0.220083 | − | 0.975481i | \(-0.429367\pi\) | ||||
0.220083 | + | 0.975481i | \(0.429367\pi\) | |||||||
\(104\) | − | 72.4931i | − | 0.697049i | ||||||
\(105\) | −3.39357 | + | 0.722992i | −0.0323197 | + | 0.00688564i | ||||
\(106\) | −27.8982 | −0.263190 | ||||||||
\(107\) | − | 27.3786i | − | 0.255875i | −0.991782 | − | 0.127938i | \(-0.959164\pi\) | ||
0.991782 | − | 0.127938i | \(-0.0408357\pi\) | |||||||
\(108\) | −40.9837 | − | 56.2424i | −0.379479 | − | 0.520763i | ||||
\(109\) | 170.671 | 1.56579 | 0.782896 | − | 0.622152i | \(-0.213741\pi\) | ||||
0.782896 | + | 0.622152i | \(0.213741\pi\) | |||||||
\(110\) | 1.68471i | 0.0153156i | ||||||||
\(111\) | 6.19316 | + | 29.0694i | 0.0557943 | + | 0.261886i | ||||
\(112\) | 5.71904 | 0.0510628 | ||||||||
\(113\) | − | 172.039i | − | 1.52247i | −0.648477 | − | 0.761234i | \(-0.724594\pi\) | ||
0.648477 | − | 0.761234i | \(-0.275406\pi\) | |||||||
\(114\) | 0.932542 | − | 0.198676i | 0.00818020 | − | 0.00174277i | ||||
\(115\) | −1.79257 | −0.0155876 | ||||||||
\(116\) | − | 73.7956i | − | 0.636169i | ||||||
\(117\) | −75.9443 | + | 33.8981i | −0.649096 | + | 0.289727i | ||||
\(118\) | 9.16140 | 0.0776390 | ||||||||
\(119\) | 59.5810i | 0.500681i | ||||||||
\(120\) | 0.945056 | + | 4.43589i | 0.00787547 | + | 0.0369658i | ||||
\(121\) | 67.2762 | 0.556002 | ||||||||
\(122\) | 85.6779i | 0.702278i | ||||||||
\(123\) | 113.571 | − | 24.1959i | 0.923339 | − | 0.196715i | ||||
\(124\) | −93.9540 | −0.757693 | ||||||||
\(125\) | 9.62839i | 0.0770271i | ||||||||
\(126\) | 26.2588 | + | 58.8295i | 0.208404 | + | 0.466901i | ||||
\(127\) | 70.8372 | 0.557773 | 0.278887 | − | 0.960324i | \(-0.410035\pi\) | ||||
0.278887 | + | 0.960324i | \(0.410035\pi\) | |||||||
\(128\) | − | 88.3555i | − | 0.690277i | ||||||
\(129\) | −24.5306 | − | 115.141i | −0.190159 | − | 0.892568i | ||||
\(130\) | 2.12396 | 0.0163382 | ||||||||
\(131\) | 231.671i | 1.76848i | 0.467035 | + | 0.884239i | \(0.345322\pi\) | ||||
−0.467035 | + | 0.884239i | \(0.654678\pi\) | |||||||
\(132\) | −55.4311 | + | 11.8095i | −0.419932 | + | 0.0894655i | ||||
\(133\) | 1.59926 | 0.0120245 | ||||||||
\(134\) | 69.3865i | 0.517810i | ||||||||
\(135\) | 4.20516 | − | 3.06429i | 0.0311493 | − | 0.0226984i | ||||
\(136\) | 77.8811 | 0.572655 | ||||||||
\(137\) | 57.1816i | 0.417384i | 0.977981 | + | 0.208692i | \(0.0669206\pi\) | ||||
−0.977981 | + | 0.208692i | \(0.933079\pi\) | |||||||
\(138\) | 6.93530 | + | 32.5528i | 0.0502558 | + | 0.235890i | ||||
\(139\) | 274.608 | 1.97560 | 0.987799 | − | 0.155735i | \(-0.0497746\pi\) | ||||
0.987799 | + | 0.155735i | \(0.0497746\pi\) | |||||||
\(140\) | 2.98101i | 0.0212929i | ||||||||
\(141\) | −52.6898 | + | 11.2254i | −0.373686 | + | 0.0796130i | ||||
\(142\) | −29.9981 | −0.211254 | ||||||||
\(143\) | 67.7310i | 0.473643i | ||||||||
\(144\) | −7.83150 | + | 3.49563i | −0.0543855 | + | 0.0242752i | ||||
\(145\) | 5.51758 | 0.0380523 | ||||||||
\(146\) | 81.4083i | 0.557591i | ||||||||
\(147\) | −8.11430 | − | 38.0868i | −0.0551993 | − | 0.259094i | ||||
\(148\) | 25.5353 | 0.172536 | ||||||||
\(149\) | 195.063i | 1.30915i | 0.755997 | + | 0.654576i | \(0.227153\pi\) | ||||
−0.755997 | + | 0.654576i | \(0.772847\pi\) | |||||||
\(150\) | 87.3600 | − | 18.6118i | 0.582400 | − | 0.124079i | ||||
\(151\) | −23.0021 | −0.152332 | −0.0761659 | − | 0.997095i | \(-0.524268\pi\) | ||||
−0.0761659 | + | 0.997095i | \(0.524268\pi\) | |||||||
\(152\) | − | 2.09047i | − | 0.0137531i | ||||||
\(153\) | −36.4175 | − | 81.5888i | −0.238023 | − | 0.533260i | ||||
\(154\) | 52.4672 | 0.340696 | ||||||||
\(155\) | − | 7.02479i | − | 0.0453213i | ||||||
\(156\) | 14.8885 | + | 69.8834i | 0.0954391 | + | 0.447971i | ||||
\(157\) | −102.811 | −0.654848 | −0.327424 | − | 0.944878i | \(-0.606180\pi\) | ||||
−0.327424 | + | 0.944878i | \(0.606180\pi\) | |||||||
\(158\) | − | 86.4991i | − | 0.547463i | ||||||
\(159\) | 68.6313 | − | 14.6217i | 0.431643 | − | 0.0919606i | ||||
\(160\) | 6.26629 | 0.0391643 | ||||||||
\(161\) | 55.8264i | 0.346748i | ||||||||
\(162\) | −71.9164 | − | 64.5096i | −0.443928 | − | 0.398207i | ||||
\(163\) | −205.066 | −1.25807 | −0.629036 | − | 0.777376i | \(-0.716550\pi\) | ||||
−0.629036 | + | 0.777376i | \(0.716550\pi\) | |||||||
\(164\) | − | 99.7635i | − | 0.608314i | ||||||
\(165\) | −0.882975 | − | 4.14450i | −0.00535136 | − | 0.0251182i | ||||
\(166\) | −102.068 | −0.614865 | ||||||||
\(167\) | 307.058i | 1.83867i | 0.393476 | + | 0.919335i | \(0.371272\pi\) | ||||
−0.393476 | + | 0.919335i | \(0.628728\pi\) | |||||||
\(168\) | 138.148 | − | 29.4320i | 0.822307 | − | 0.175191i | ||||
\(169\) | −83.6097 | −0.494732 | ||||||||
\(170\) | 2.28182i | 0.0134225i | ||||||||
\(171\) | −2.18999 | + | 0.977510i | −0.0128069 | + | 0.00571643i | ||||
\(172\) | −101.143 | −0.588041 | ||||||||
\(173\) | 6.42487i | 0.0371380i | 0.999828 | + | 0.0185690i | \(0.00591103\pi\) | ||||
−0.999828 | + | 0.0185690i | \(0.994089\pi\) | |||||||
\(174\) | −21.3470 | − | 100.198i | −0.122684 | − | 0.575853i | ||||
\(175\) | 149.818 | 0.856101 | ||||||||
\(176\) | 6.98454i | 0.0396849i | ||||||||
\(177\) | −22.5376 | + | 4.80159i | −0.127331 | + | 0.0271276i | ||||
\(178\) | −113.164 | −0.635752 | ||||||||
\(179\) | 219.882i | 1.22839i | 0.789153 | + | 0.614196i | \(0.210520\pi\) | ||||
−0.789153 | + | 0.614196i | \(0.789480\pi\) | |||||||
\(180\) | −1.82207 | − | 4.08211i | −0.0101226 | − | 0.0226784i | ||||
\(181\) | −61.5411 | −0.340006 | −0.170003 | − | 0.985444i | \(-0.554378\pi\) | ||||
−0.170003 | + | 0.985444i | \(0.554378\pi\) | |||||||
\(182\) | − | 66.1468i | − | 0.363444i | ||||||
\(183\) | −44.9046 | − | 210.773i | −0.245381 | − | 1.15176i | ||||
\(184\) | 72.9732 | 0.396593 | ||||||||
\(185\) | 1.90924i | 0.0103202i | ||||||||
\(186\) | −127.569 | + | 27.1783i | −0.685855 | + | 0.146120i | ||||
\(187\) | −72.7650 | −0.389118 | ||||||||
\(188\) | 46.2841i | 0.246192i | ||||||||
\(189\) | −95.4316 | − | 130.962i | −0.504929 | − | 0.692920i | ||||
\(190\) | 0.0612481 | 0.000322358 | ||||||||
\(191\) | − | 32.8865i | − | 0.172181i | −0.996287 | − | 0.0860904i | \(-0.972563\pi\) | ||
0.996287 | − | 0.0860904i | \(-0.0274374\pi\) | |||||||
\(192\) | −21.8610 | − | 102.611i | −0.113859 | − | 0.534431i | ||||
\(193\) | −117.139 | −0.606937 | −0.303468 | − | 0.952841i | \(-0.598145\pi\) | ||||
−0.303468 | + | 0.952841i | \(0.598145\pi\) | |||||||
\(194\) | 179.101i | 0.923200i | ||||||||
\(195\) | −5.22508 | + | 1.11319i | −0.0267953 | + | 0.00570867i | ||||
\(196\) | −33.4565 | −0.170696 | ||||||||
\(197\) | − | 21.5523i | − | 0.109402i | −0.998503 | − | 0.0547012i | \(-0.982579\pi\) | ||
0.998503 | − | 0.0547012i | \(-0.0174206\pi\) | |||||||
\(198\) | −71.8472 | + | 32.0693i | −0.362865 | + | 0.161966i | ||||
\(199\) | 169.225 | 0.850378 | 0.425189 | − | 0.905105i | \(-0.360208\pi\) | ||||
0.425189 | + | 0.905105i | \(0.360208\pi\) | |||||||
\(200\) | − | 195.833i | − | 0.979167i | ||||||
\(201\) | −36.3662 | − | 170.695i | −0.180926 | − | 0.849229i | ||||
\(202\) | 127.141 | 0.629411 | ||||||||
\(203\) | − | 171.835i | − | 0.846477i | ||||||
\(204\) | −75.0775 | + | 15.9951i | −0.368027 | + | 0.0784072i | ||||
\(205\) | 7.45916 | 0.0363862 | ||||||||
\(206\) | − | 54.0741i | − | 0.262495i | ||||||
\(207\) | −34.1226 | − | 76.4472i | −0.164843 | − | 0.369310i | ||||
\(208\) | 8.80559 | 0.0423346 | ||||||||
\(209\) | 1.95314i | 0.00934517i | ||||||||
\(210\) | 0.862322 | + | 4.04756i | 0.00410630 | + | 0.0192741i | ||||
\(211\) | 201.272 | 0.953893 | 0.476947 | − | 0.878932i | \(-0.341743\pi\) | ||||
0.476947 | + | 0.878932i | \(0.341743\pi\) | |||||||
\(212\) | − | 60.2876i | − | 0.284375i | ||||||
\(213\) | 73.7972 | − | 15.7223i | 0.346466 | − | 0.0738136i | ||||
\(214\) | −32.6549 | −0.152593 | ||||||||
\(215\) | − | 7.56232i | − | 0.0351736i | ||||||
\(216\) | −171.186 | + | 124.743i | −0.792529 | + | 0.577514i | ||||
\(217\) | −218.774 | −1.00818 | ||||||||
\(218\) | − | 203.562i | − | 0.933771i | ||||||
\(219\) | −42.6669 | − | 200.269i | −0.194826 | − | 0.914473i | ||||
\(220\) | −3.64064 | −0.0165483 | ||||||||
\(221\) | 91.7368i | 0.415099i | ||||||||
\(222\) | 34.6715 | − | 7.38667i | 0.156178 | − | 0.0332733i | ||||
\(223\) | 25.6377 | 0.114967 | 0.0574837 | − | 0.998346i | \(-0.481692\pi\) | ||||
0.0574837 | + | 0.998346i | \(0.481692\pi\) | |||||||
\(224\) | − | 195.152i | − | 0.871214i | ||||||
\(225\) | −205.156 | + | 91.5726i | −0.911806 | + | 0.406989i | ||||
\(226\) | −205.193 | −0.907934 | ||||||||
\(227\) | − | 87.6856i | − | 0.386280i | −0.981171 | − | 0.193140i | \(-0.938133\pi\) | ||
0.981171 | − | 0.193140i | \(-0.0618672\pi\) | |||||||
\(228\) | 0.429336 | + | 2.01521i | 0.00188305 | + | 0.00883864i | ||||
\(229\) | 149.568 | 0.653137 | 0.326568 | − | 0.945174i | \(-0.394108\pi\) | ||||
0.326568 | + | 0.945174i | \(0.394108\pi\) | |||||||
\(230\) | 2.13803i | 0.00929577i | ||||||||
\(231\) | −129.073 | + | 27.4986i | −0.558756 | + | 0.119042i | ||||
\(232\) | −224.613 | −0.968160 | ||||||||
\(233\) | − | 102.416i | − | 0.439552i | −0.975550 | − | 0.219776i | \(-0.929467\pi\) | ||
0.975550 | − | 0.219776i | \(-0.0705326\pi\) | |||||||
\(234\) | 40.4307 | + | 90.5797i | 0.172781 | + | 0.387093i | ||||
\(235\) | −3.46059 | −0.0147259 | ||||||||
\(236\) | 19.7977i | 0.0838884i | ||||||||
\(237\) | 45.3351 | + | 212.793i | 0.191287 | + | 0.897862i | ||||
\(238\) | 71.0631 | 0.298584 | ||||||||
\(239\) | 20.5515i | 0.0859896i | 0.999075 | + | 0.0429948i | \(0.0136899\pi\) | ||||
−0.999075 | + | 0.0429948i | \(0.986310\pi\) | |||||||
\(240\) | −0.538819 | + | 0.114794i | −0.00224508 | + | 0.000478309i | ||||
\(241\) | 391.721 | 1.62540 | 0.812700 | − | 0.582682i | \(-0.197997\pi\) | ||||
0.812700 | + | 0.582682i | \(0.197997\pi\) | |||||||
\(242\) | − | 80.2413i | − | 0.331575i | ||||||
\(243\) | 210.729 | + | 121.005i | 0.867197 | + | 0.497965i | ||||
\(244\) | −185.149 | −0.758806 | ||||||||
\(245\) | − | 2.50149i | − | 0.0102102i | ||||||
\(246\) | −28.8588 | − | 135.457i | −0.117312 | − | 0.550639i | ||||
\(247\) | 2.46238 | 0.00996914 | ||||||||
\(248\) | 285.970i | 1.15310i | ||||||||
\(249\) | 251.093 | − | 53.4947i | 1.00840 | − | 0.214838i | ||||
\(250\) | 11.4839 | 0.0459356 | ||||||||
\(251\) | 226.561i | 0.902634i | 0.892364 | + | 0.451317i | \(0.149046\pi\) | ||||
−0.892364 | + | 0.451317i | \(0.850954\pi\) | |||||||
\(252\) | −127.130 | + | 56.7450i | −0.504483 | + | 0.225178i | ||||
\(253\) | −68.1795 | −0.269484 | ||||||||
\(254\) | − | 84.4884i | − | 0.332632i | ||||||
\(255\) | −1.19593 | − | 5.61343i | −0.00468991 | − | 0.0220134i | ||||
\(256\) | −245.268 | −0.958077 | ||||||||
\(257\) | 430.021i | 1.67323i | 0.547788 | + | 0.836617i | \(0.315470\pi\) | ||||
−0.547788 | + | 0.836617i | \(0.684530\pi\) | |||||||
\(258\) | −137.330 | + | 29.2579i | −0.532289 | + | 0.113403i | ||||
\(259\) | 59.4597 | 0.229574 | ||||||||
\(260\) | 4.58985i | 0.0176533i | ||||||||
\(261\) | 105.030 | + | 235.306i | 0.402414 | + | 0.901556i | ||||
\(262\) | 276.317 | 1.05464 | ||||||||
\(263\) | − | 90.6588i | − | 0.344710i | −0.985035 | − | 0.172355i | \(-0.944862\pi\) | ||
0.985035 | − | 0.172355i | \(-0.0551377\pi\) | |||||||
\(264\) | 35.9447 | + | 168.717i | 0.136154 | + | 0.639078i | ||||
\(265\) | 4.50761 | 0.0170098 | ||||||||
\(266\) | − | 1.90746i | − | 0.00717089i | ||||||
\(267\) | 278.390 | − | 59.3104i | 1.04266 | − | 0.222136i | ||||
\(268\) | −149.943 | −0.559489 | ||||||||
\(269\) | − | 177.836i | − | 0.661099i | −0.943789 | − | 0.330549i | \(-0.892766\pi\) | ||
0.943789 | − | 0.330549i | \(-0.107234\pi\) | |||||||
\(270\) | −3.65482 | − | 5.01555i | −0.0135364 | − | 0.0185761i | ||||
\(271\) | −430.864 | −1.58990 | −0.794952 | − | 0.606672i | \(-0.792504\pi\) | ||||
−0.794952 | + | 0.606672i | \(0.792504\pi\) | |||||||
\(272\) | 9.46006i | 0.0347796i | ||||||||
\(273\) | 34.6682 | + | 162.725i | 0.126990 | + | 0.596063i | ||||
\(274\) | 68.2012 | 0.248910 | ||||||||
\(275\) | 182.969i | 0.665342i | ||||||||
\(276\) | −70.3462 | + | 14.9871i | −0.254878 | + | 0.0543010i | ||||
\(277\) | −310.975 | −1.12265 | −0.561327 | − | 0.827594i | \(-0.689709\pi\) | ||||
−0.561327 | + | 0.827594i | \(0.689709\pi\) | |||||||
\(278\) | − | 327.529i | − | 1.17816i | ||||||
\(279\) | 299.584 | − | 133.721i | 1.07378 | − | 0.479285i | ||||
\(280\) | 9.07335 | 0.0324048 | ||||||||
\(281\) | − | 113.386i | − | 0.403509i | −0.979436 | − | 0.201755i | \(-0.935336\pi\) | ||
0.979436 | − | 0.201755i | \(-0.0646644\pi\) | |||||||
\(282\) | 13.3887 | + | 62.8438i | 0.0474777 | + | 0.222850i | ||||
\(283\) | 331.753 | 1.17227 | 0.586135 | − | 0.810213i | \(-0.300649\pi\) | ||||
0.586135 | + | 0.810213i | \(0.300649\pi\) | |||||||
\(284\) | − | 64.8254i | − | 0.228258i | ||||||
\(285\) | −0.150674 | + | 0.0321008i | −0.000528681 | + | 0.000112634i | ||||
\(286\) | 80.7836 | 0.282460 | ||||||||
\(287\) | − | 232.302i | − | 0.809414i | ||||||
\(288\) | 119.282 | + | 267.236i | 0.414174 | + | 0.927903i | ||||
\(289\) | 190.445 | 0.658979 | ||||||||
\(290\) | − | 6.58089i | − | 0.0226927i | ||||||
\(291\) | −93.8686 | − | 440.599i | −0.322573 | − | 1.51409i | ||||
\(292\) | −175.922 | −0.602473 | ||||||||
\(293\) | 300.701i | 1.02628i | 0.858304 | + | 0.513142i | \(0.171519\pi\) | ||||
−0.858304 | + | 0.513142i | \(0.828481\pi\) | |||||||
\(294\) | −45.4267 | + | 9.67804i | −0.154512 | + | 0.0329185i | ||||
\(295\) | −1.48024 | −0.00501776 | ||||||||
\(296\) | − | 77.7224i | − | 0.262576i | ||||||
\(297\) | 159.941 | − | 116.548i | 0.538521 | − | 0.392419i | ||||
\(298\) | 232.655 | 0.780721 | ||||||||
\(299\) | 85.9558i | 0.287477i | ||||||||
\(300\) | 40.2199 | + | 188.784i | 0.134066 | + | 0.629279i | ||||
\(301\) | −235.514 | −0.782439 | ||||||||
\(302\) | 27.4349i | 0.0908441i | ||||||||
\(303\) | −312.775 | + | 66.6359i | −1.03226 | + | 0.219921i | ||||
\(304\) | 0.253925 | 0.000835278 | ||||||||
\(305\) | − | 13.8433i | − | 0.0453878i | ||||||
\(306\) | −97.3120 | + | 43.4357i | −0.318013 | + | 0.141947i | ||||
\(307\) | 242.499 | 0.789899 | 0.394950 | − | 0.918703i | \(-0.370762\pi\) | ||||
0.394950 | + | 0.918703i | \(0.370762\pi\) | |||||||
\(308\) | 113.381i | 0.368120i | ||||||||
\(309\) | 28.3408 | + | 133.026i | 0.0917177 | + | 0.430504i | ||||
\(310\) | −8.37856 | −0.0270276 | ||||||||
\(311\) | − | 356.024i | − | 1.14477i | −0.819985 | − | 0.572386i | \(-0.806018\pi\) | ||
0.819985 | − | 0.572386i | \(-0.193982\pi\) | |||||||
\(312\) | 212.706 | − | 45.3164i | 0.681749 | − | 0.145245i | ||||
\(313\) | −295.350 | −0.943611 | −0.471806 | − | 0.881703i | \(-0.656398\pi\) | ||||
−0.471806 | + | 0.881703i | \(0.656398\pi\) | |||||||
\(314\) | 122.624i | 0.390523i | ||||||||
\(315\) | −4.24273 | − | 9.50530i | −0.0134690 | − | 0.0301755i | ||||
\(316\) | 186.923 | 0.591529 | ||||||||
\(317\) | 67.0964i | 0.211660i | 0.994384 | + | 0.105830i | \(0.0337500\pi\) | ||||
−0.994384 | + | 0.105830i | \(0.966250\pi\) | |||||||
\(318\) | −17.4395 | − | 81.8575i | −0.0548413 | − | 0.257413i | ||||
\(319\) | 209.858 | 0.657862 | ||||||||
\(320\) | − | 6.73934i | − | 0.0210604i | ||||||
\(321\) | 80.3330 | − | 17.1147i | 0.250259 | − | 0.0533170i | ||||
\(322\) | 66.5848 | 0.206785 | ||||||||
\(323\) | 2.64539i | 0.00819006i | ||||||||
\(324\) | 139.404 | − | 155.410i | 0.430260 | − | 0.479661i | ||||
\(325\) | 230.674 | 0.709766 | ||||||||
\(326\) | 244.585i | 0.750260i | ||||||||
\(327\) | 106.689 | + | 500.775i | 0.326266 | + | 1.53142i | ||||
\(328\) | −303.652 | −0.925769 | ||||||||
\(329\) | 107.774i | 0.327580i | ||||||||
\(330\) | −4.94319 | + | 1.05314i | −0.0149794 | + | 0.00319132i | ||||
\(331\) | 608.621 | 1.83873 | 0.919367 | − | 0.393402i | \(-0.128702\pi\) | ||||
0.919367 | + | 0.393402i | \(0.128702\pi\) | |||||||
\(332\) | − | 220.567i | − | 0.664357i | ||||||
\(333\) | −81.4225 | + | 36.3433i | −0.244512 | + | 0.109139i | ||||
\(334\) | 366.232 | 1.09650 | ||||||||
\(335\) | − | 11.2110i | − | 0.0334657i | ||||||
\(336\) | 3.57505 | + | 16.7805i | 0.0106400 | + | 0.0499420i | ||||
\(337\) | 39.1038 | 0.116035 | 0.0580175 | − | 0.998316i | \(-0.481522\pi\) | ||||
0.0580175 | + | 0.998316i | \(0.481522\pi\) | |||||||
\(338\) | 99.7224i | 0.295037i | ||||||||
\(339\) | 504.788 | − | 107.544i | 1.48905 | − | 0.317238i | ||||
\(340\) | −4.93098 | −0.0145029 | ||||||||
\(341\) | − | 267.184i | − | 0.783531i | ||||||
\(342\) | 1.16589 | + | 2.61202i | 0.00340903 | + | 0.00763750i | ||||
\(343\) | −371.984 | −1.08450 | ||||||||
\(344\) | 307.851i | 0.894917i | ||||||||
\(345\) | −1.12056 | − | 5.25968i | −0.00324800 | − | 0.0152454i | ||||
\(346\) | 7.66303 | 0.0221475 | ||||||||
\(347\) | 294.930i | 0.849941i | 0.905207 | + | 0.424971i | \(0.139716\pi\) | ||||
−0.905207 | + | 0.424971i | \(0.860284\pi\) | |||||||
\(348\) | 216.527 | − | 46.1306i | 0.622205 | − | 0.132559i | ||||
\(349\) | −320.108 | −0.917216 | −0.458608 | − | 0.888639i | \(-0.651652\pi\) | ||||
−0.458608 | + | 0.888639i | \(0.651652\pi\) | |||||||
\(350\) | − | 178.689i | − | 0.510541i | ||||||
\(351\) | −146.936 | − | 201.642i | −0.418621 | − | 0.574478i | ||||
\(352\) | 238.335 | 0.677087 | ||||||||
\(353\) | − | 428.068i | − | 1.21266i | −0.795214 | − | 0.606329i | \(-0.792642\pi\) | ||
0.795214 | − | 0.606329i | \(-0.207358\pi\) | |||||||
\(354\) | 5.72691 | + | 26.8809i | 0.0161777 | + | 0.0759348i | ||||
\(355\) | 4.84690 | 0.0136532 | ||||||||
\(356\) | − | 244.545i | − | 0.686926i | ||||||
\(357\) | −174.820 | + | 37.2449i | −0.489691 | + | 0.104327i | ||||
\(358\) | 262.256 | 0.732560 | ||||||||
\(359\) | − | 390.412i | − | 1.08750i | −0.839248 | − | 0.543749i | \(-0.817004\pi\) | ||
0.839248 | − | 0.543749i | \(-0.182996\pi\) | |||||||
\(360\) | −12.4248 | + | 5.54587i | −0.0345134 | + | 0.0154052i | ||||
\(361\) | −360.929 | −0.999803 | ||||||||
\(362\) | 73.4009i | 0.202765i | ||||||||
\(363\) | 42.0553 | + | 197.399i | 0.115855 | + | 0.543798i | ||||
\(364\) | 142.942 | 0.392699 | ||||||||
\(365\) | − | 13.1534i | − | 0.0360368i | ||||||
\(366\) | −251.392 | + | 53.5584i | −0.686862 | + | 0.146334i | ||||
\(367\) | 287.119 | 0.782340 | 0.391170 | − | 0.920318i | \(-0.372070\pi\) | ||||
0.391170 | + | 0.920318i | \(0.372070\pi\) | |||||||
\(368\) | 8.86391i | 0.0240867i | ||||||||
\(369\) | 141.989 | + | 318.108i | 0.384794 | + | 0.862081i | ||||
\(370\) | 2.27717 | 0.00615452 | ||||||||
\(371\) | − | 140.381i | − | 0.378386i | ||||||
\(372\) | −58.7319 | − | 275.675i | −0.157881 | − | 0.741062i | ||||
\(373\) | −488.823 | −1.31052 | −0.655259 | − | 0.755404i | \(-0.727441\pi\) | ||||
−0.655259 | + | 0.755404i | \(0.727441\pi\) | |||||||
\(374\) | 86.7878i | 0.232053i | ||||||||
\(375\) | −28.2511 | + | 6.01883i | −0.0753363 | + | 0.0160502i | ||||
\(376\) | 140.876 | 0.374670 | ||||||||
\(377\) | − | 264.574i | − | 0.701787i | ||||||
\(378\) | −156.200 | + | 113.822i | −0.413227 | + | 0.301118i | ||||
\(379\) | 371.086 | 0.979119 | 0.489559 | − | 0.871970i | \(-0.337158\pi\) | ||||
0.489559 | + | 0.871970i | \(0.337158\pi\) | |||||||
\(380\) | 0.132356i | 0.000348306i | ||||||||
\(381\) | 44.2813 | + | 207.847i | 0.116224 | + | 0.545530i | ||||
\(382\) | −39.2242 | −0.102681 | ||||||||
\(383\) | 474.681i | 1.23938i | 0.784849 | + | 0.619688i | \(0.212741\pi\) | ||||
−0.784849 | + | 0.619688i | \(0.787259\pi\) | |||||||
\(384\) | 259.248 | − | 55.2322i | 0.675125 | − | 0.143834i | ||||
\(385\) | −8.47731 | −0.0220190 | ||||||||
\(386\) | 139.713i | 0.361951i | ||||||||
\(387\) | 322.507 | − | 143.953i | 0.833352 | − | 0.371971i | ||||
\(388\) | −387.034 | −0.997511 | ||||||||
\(389\) | − | 605.349i | − | 1.55617i | −0.628161 | − | 0.778083i | \(-0.716192\pi\) | ||
0.628161 | − | 0.778083i | \(-0.283808\pi\) | |||||||
\(390\) | 1.32772 | + | 6.23202i | 0.00340440 | + | 0.0159795i | ||||
\(391\) | −92.3443 | −0.236175 | ||||||||
\(392\) | 101.832i | 0.259776i | ||||||||
\(393\) | −679.756 | + | 144.820i | −1.72966 | + | 0.368500i | ||||
\(394\) | −25.7057 | −0.0652429 | ||||||||
\(395\) | 13.9760i | 0.0353822i | ||||||||
\(396\) | −69.3014 | − | 155.261i | −0.175004 | − | 0.392073i | ||||
\(397\) | 520.491 | 1.31106 | 0.655530 | − | 0.755169i | \(-0.272445\pi\) | ||||
0.655530 | + | 0.755169i | \(0.272445\pi\) | |||||||
\(398\) | − | 201.837i | − | 0.507128i | ||||||
\(399\) | 0.999718 | + | 4.69247i | 0.00250556 | + | 0.0117606i | ||||
\(400\) | 23.7875 | 0.0594687 | ||||||||
\(401\) | − | 550.265i | − | 1.37223i | −0.727493 | − | 0.686115i | \(-0.759314\pi\) | ||
0.727493 | − | 0.686115i | \(-0.240686\pi\) | |||||||
\(402\) | −203.590 | + | 43.3744i | −0.506444 | + | 0.107897i | ||||
\(403\) | −336.846 | −0.835846 | ||||||||
\(404\) | 274.750i | 0.680074i | ||||||||
\(405\) | 11.6198 | + | 10.4230i | 0.0286908 | + | 0.0257359i | ||||
\(406\) | −204.950 | −0.504802 | ||||||||
\(407\) | 72.6168i | 0.178420i | ||||||||
\(408\) | 48.6845 | + | 228.515i | 0.119325 | + | 0.560085i | ||||
\(409\) | −386.335 | −0.944585 | −0.472293 | − | 0.881442i | \(-0.656573\pi\) | ||||
−0.472293 | + | 0.881442i | \(0.656573\pi\) | |||||||
\(410\) | − | 8.89664i | − | 0.0216991i | ||||||
\(411\) | −167.779 | + | 35.7450i | −0.408222 | + | 0.0869707i | ||||
\(412\) | 116.853 | 0.283624 | ||||||||
\(413\) | 46.0993i | 0.111621i | ||||||||
\(414\) | −91.1796 | + | 40.6984i | −0.220241 | + | 0.0983054i | ||||
\(415\) | 16.4914 | 0.0397384 | ||||||||
\(416\) | − | 300.475i | − | 0.722296i | ||||||
\(417\) | 171.661 | + | 805.741i | 0.411657 | + | 1.93223i | ||||
\(418\) | 2.32954 | 0.00557305 | ||||||||
\(419\) | 666.029i | 1.58957i | 0.606893 | + | 0.794784i | \(0.292416\pi\) | ||||
−0.606893 | + | 0.794784i | \(0.707584\pi\) | |||||||
\(420\) | −8.74671 | + | 1.86347i | −0.0208255 | + | 0.00443682i | ||||
\(421\) | −702.025 | −1.66752 | −0.833759 | − | 0.552129i | \(-0.813816\pi\) | ||||
−0.833759 | + | 0.552129i | \(0.813816\pi\) | |||||||
\(422\) | − | 240.059i | − | 0.568861i | ||||||
\(423\) | −65.8742 | − | 147.583i | −0.155731 | − | 0.348895i | ||||
\(424\) | −183.499 | −0.432780 | ||||||||
\(425\) | 247.819i | 0.583103i | ||||||||
\(426\) | −18.7522 | − | 88.0188i | −0.0440192 | − | 0.206617i | ||||
\(427\) | −431.123 | −1.00966 | ||||||||
\(428\) | − | 70.5667i | − | 0.164875i | ||||||
\(429\) | −198.733 | + | 42.3395i | −0.463247 | + | 0.0986936i | ||||
\(430\) | −9.01967 | −0.0209760 | ||||||||
\(431\) | − | 709.664i | − | 1.64655i | −0.567641 | − | 0.823276i | \(-0.692144\pi\) | ||
0.567641 | − | 0.823276i | \(-0.307856\pi\) | |||||||
\(432\) | −15.1523 | − | 20.7936i | −0.0350747 | − | 0.0481334i | ||||
\(433\) | −52.7210 | −0.121757 | −0.0608787 | − | 0.998145i | \(-0.519390\pi\) | ||||
−0.0608787 | + | 0.998145i | \(0.519390\pi\) | |||||||
\(434\) | 260.935i | 0.601232i | ||||||||
\(435\) | 3.44911 | + | 16.1894i | 0.00792900 | + | 0.0372170i | ||||
\(436\) | 439.895 | 1.00893 | ||||||||
\(437\) | 2.47868i | 0.00567205i | ||||||||
\(438\) | −238.864 | + | 50.8894i | −0.545352 | + | 0.116186i | ||||
\(439\) | −26.6734 | −0.0607594 | −0.0303797 | − | 0.999538i | \(-0.509672\pi\) | ||||
−0.0303797 | + | 0.999538i | \(0.509672\pi\) | |||||||
\(440\) | 11.0811i | 0.0251843i | ||||||||
\(441\) | 106.680 | − | 47.6172i | 0.241905 | − | 0.107975i | ||||
\(442\) | 109.416 | 0.247547 | ||||||||
\(443\) | 281.292i | 0.634972i | 0.948263 | + | 0.317486i | \(0.102839\pi\) | ||||
−0.948263 | + | 0.317486i | \(0.897161\pi\) | |||||||
\(444\) | 15.9625 | + | 74.9245i | 0.0359515 | + | 0.168749i | ||||
\(445\) | 18.2843 | 0.0410883 | ||||||||
\(446\) | − | 30.5785i | − | 0.0685616i | ||||||
\(447\) | −572.345 | + | 121.937i | −1.28041 | + | 0.272789i | ||||
\(448\) | −209.884 | −0.468491 | ||||||||
\(449\) | − | 813.712i | − | 1.81228i | −0.422983 | − | 0.906138i | \(-0.639017\pi\) | ||
0.422983 | − | 0.906138i | \(-0.360983\pi\) | |||||||
\(450\) | 109.220 | + | 244.693i | 0.242711 | + | 0.543762i | ||||
\(451\) | 283.705 | 0.629058 | ||||||||
\(452\) | − | 443.419i | − | 0.981016i | ||||||
\(453\) | −14.3789 | − | 67.4916i | −0.0317416 | − | 0.148988i | ||||
\(454\) | −104.584 | −0.230361 | ||||||||
\(455\) | 10.6876i | 0.0234892i | ||||||||
\(456\) | 6.13374 | − | 1.30678i | 0.0134512 | − | 0.00286574i | ||||
\(457\) | 152.151 | 0.332935 | 0.166467 | − | 0.986047i | \(-0.446764\pi\) | ||||
0.166467 | + | 0.986047i | \(0.446764\pi\) | |||||||
\(458\) | − | 178.392i | − | 0.389502i | ||||||
\(459\) | 216.629 | − | 157.857i | 0.471958 | − | 0.343914i | ||||
\(460\) | −4.62024 | −0.0100440 | ||||||||
\(461\) | 151.258i | 0.328108i | 0.986451 | + | 0.164054i | \(0.0524571\pi\) | ||||
−0.986451 | + | 0.164054i | \(0.947543\pi\) | |||||||
\(462\) | 32.7979 | + | 153.947i | 0.0709912 | + | 0.333218i | ||||
\(463\) | −188.686 | −0.407530 | −0.203765 | − | 0.979020i | \(-0.565318\pi\) | ||||
−0.203765 | + | 0.979020i | \(0.565318\pi\) | |||||||
\(464\) | − | 27.2833i | − | 0.0588002i | ||||||
\(465\) | 20.6118 | − | 4.39129i | 0.0443264 | − | 0.00944364i | ||||
\(466\) | −122.152 | −0.262130 | ||||||||
\(467\) | − | 555.701i | − | 1.18994i | −0.803749 | − | 0.594968i | \(-0.797165\pi\) | ||
0.803749 | − | 0.594968i | \(-0.202835\pi\) | |||||||
\(468\) | −195.741 | + | 87.3701i | −0.418251 | + | 0.186688i | ||||
\(469\) | −349.146 | −0.744448 | ||||||||
\(470\) | 4.12749i | 0.00878190i | ||||||||
\(471\) | −64.2686 | − | 301.663i | −0.136451 | − | 0.640474i | ||||
\(472\) | 60.2585 | 0.127666 | ||||||||
\(473\) | − | 287.628i | − | 0.608094i | ||||||
\(474\) | 253.801 | − | 54.0717i | 0.535446 | − | 0.114075i | ||||
\(475\) | 6.65189 | 0.0140040 | ||||||||
\(476\) | 153.566i | 0.322618i | ||||||||
\(477\) | 85.8047 | + | 192.234i | 0.179884 | + | 0.403007i | ||||
\(478\) | 24.5121 | 0.0512805 | ||||||||
\(479\) | 264.217i | 0.551601i | 0.961215 | + | 0.275800i | \(0.0889429\pi\) | ||||
−0.961215 | + | 0.275800i | \(0.911057\pi\) | |||||||
\(480\) | 3.91714 | + | 18.3862i | 0.00816071 | + | 0.0383046i | ||||
\(481\) | 91.5499 | 0.190332 | ||||||||
\(482\) | − | 467.211i | − | 0.969318i | ||||||
\(483\) | −163.803 | + | 34.8978i | −0.339136 | + | 0.0722522i | ||||
\(484\) | 173.400 | 0.358265 | ||||||||
\(485\) | − | 28.9380i | − | 0.0596659i | ||||||
\(486\) | 144.325 | − | 251.339i | 0.296965 | − | 0.517159i | ||||
\(487\) | −163.268 | −0.335252 | −0.167626 | − | 0.985851i | \(-0.553610\pi\) | ||||
−0.167626 | + | 0.985851i | \(0.553610\pi\) | |||||||
\(488\) | 563.541i | 1.15480i | ||||||||
\(489\) | −128.189 | − | 601.694i | −0.262146 | − | 1.23046i | ||||
\(490\) | −2.98356 | −0.00608890 | ||||||||
\(491\) | 884.367i | 1.80116i | 0.434695 | + | 0.900578i | \(0.356856\pi\) | ||||
−0.434695 | + | 0.900578i | \(0.643144\pi\) | |||||||
\(492\) | 292.721 | − | 62.3635i | 0.594961 | − | 0.126755i | ||||
\(493\) | 284.238 | 0.576548 | ||||||||
\(494\) | − | 2.93691i | − | 0.00594516i | ||||||
\(495\) | 11.6086 | − | 5.18156i | 0.0234517 | − | 0.0104678i | ||||
\(496\) | −34.7362 | −0.0700326 | ||||||||
\(497\) | − | 150.948i | − | 0.303717i | ||||||
\(498\) | −63.8038 | − | 299.482i | −0.128120 | − | 0.601369i | ||||
\(499\) | 543.803 | 1.08979 | 0.544893 | − | 0.838506i | \(-0.316570\pi\) | ||||
0.544893 | + | 0.838506i | \(0.316570\pi\) | |||||||
\(500\) | 24.8165i | 0.0496331i | ||||||||
\(501\) | −900.953 | + | 191.946i | −1.79831 | + | 0.383126i | ||||
\(502\) | 270.222 | 0.538292 | ||||||||
\(503\) | 243.208i | 0.483514i | 0.970337 | + | 0.241757i | \(0.0777238\pi\) | ||||
−0.970337 | + | 0.241757i | \(0.922276\pi\) | |||||||
\(504\) | 172.716 | + | 386.947i | 0.342690 | + | 0.767753i | ||||
\(505\) | −20.5426 | −0.0406785 | ||||||||
\(506\) | 81.3186i | 0.160709i | ||||||||
\(507\) | −52.2655 | − | 245.323i | −0.103088 | − | 0.483873i | ||||
\(508\) | 182.578 | 0.359406 | ||||||||
\(509\) | 807.215i | 1.58588i | 0.609297 | + | 0.792942i | \(0.291452\pi\) | ||||
−0.609297 | + | 0.792942i | \(0.708548\pi\) | |||||||
\(510\) | −6.69521 | + | 1.42640i | −0.0131279 | + | 0.00279686i | ||||
\(511\) | −409.639 | −0.801642 | ||||||||
\(512\) | − | 60.8880i | − | 0.118922i | ||||||
\(513\) | −4.23715 | − | 5.81469i | −0.00825955 | − | 0.0113347i | ||||
\(514\) | 512.892 | 0.997844 | ||||||||
\(515\) | 8.73694i | 0.0169649i | ||||||||
\(516\) | −63.2259 | − | 296.769i | −0.122531 | − | 0.575134i | ||||
\(517\) | −131.622 | −0.254587 | ||||||||
\(518\) | − | 70.9183i | − | 0.136908i | ||||||
\(519\) | −18.8515 | + | 4.01627i | −0.0363228 | + | 0.00773848i | ||||
\(520\) | 13.9702 | 0.0268658 | ||||||||
\(521\) | 260.497i | 0.499993i | 0.968247 | + | 0.249997i | \(0.0804295\pi\) | ||||
−0.968247 | + | 0.249997i | \(0.919570\pi\) | |||||||
\(522\) | 280.653 | − | 125.271i | 0.537649 | − | 0.239982i | ||||
\(523\) | −619.355 | −1.18424 | −0.592118 | − | 0.805851i | \(-0.701708\pi\) | ||||
−0.592118 | + | 0.805851i | \(0.701708\pi\) | |||||||
\(524\) | 597.116i | 1.13953i | ||||||||
\(525\) | 93.6530 | + | 439.587i | 0.178387 | + | 0.837309i | ||||
\(526\) | −108.130 | −0.205570 | ||||||||
\(527\) | − | 361.882i | − | 0.686683i | ||||||
\(528\) | −20.4937 | + | 4.36613i | −0.0388138 | + | 0.00826918i | ||||
\(529\) | 442.475 | 0.836437 | ||||||||
\(530\) | − | 5.37629i | − | 0.0101439i | ||||||
\(531\) | −28.1771 | − | 63.1272i | −0.0530643 | − | 0.118884i | ||||
\(532\) | 4.12199 | 0.00774810 | ||||||||
\(533\) | − | 357.675i | − | 0.671059i | ||||||
\(534\) | −70.7402 | − | 332.040i | −0.132472 | − | 0.621797i | ||||
\(535\) | 5.27616 | 0.00986199 | ||||||||
\(536\) | 456.385i | 0.851465i | ||||||||
\(537\) | −645.167 | + | 137.451i | −1.20143 | + | 0.255961i | ||||
\(538\) | −212.107 | −0.394250 | ||||||||
\(539\) | − | 95.1428i | − | 0.176517i | ||||||
\(540\) | 10.8385 | − | 7.89801i | 0.0200713 | − | 0.0146259i | ||||
\(541\) | 74.4432 | 0.137603 | 0.0688015 | − | 0.997630i | \(-0.478082\pi\) | ||||
0.0688015 | + | 0.997630i | \(0.478082\pi\) | |||||||
\(542\) | 513.897i | 0.948150i | ||||||||
\(543\) | −38.4702 | − | 180.571i | −0.0708474 | − | 0.332543i | ||||
\(544\) | 322.808 | 0.593396 | ||||||||
\(545\) | 32.8902i | 0.0603491i | ||||||||
\(546\) | 194.085 | − | 41.3492i | 0.355466 | − | 0.0757312i | ||||
\(547\) | −451.226 | −0.824911 | −0.412455 | − | 0.910978i | \(-0.635329\pi\) | ||||
−0.412455 | + | 0.910978i | \(0.635329\pi\) | |||||||
\(548\) | 147.382i | 0.268945i | ||||||||
\(549\) | 590.369 | − | 263.514i | 1.07535 | − | 0.479989i | ||||
\(550\) | 218.230 | 0.396781 | ||||||||
\(551\) | − | 7.62945i | − | 0.0138465i | ||||||
\(552\) | 45.6165 | + | 214.114i | 0.0826386 | + | 0.387888i | ||||
\(553\) | 435.255 | 0.787080 | ||||||||
\(554\) | 370.904i | 0.669502i | ||||||||
\(555\) | −5.60199 | + | 1.19349i | −0.0100937 | + | 0.00215043i | ||||
\(556\) | 707.785 | 1.27299 | ||||||||
\(557\) | − | 731.546i | − | 1.31337i | −0.754166 | − | 0.656684i | \(-0.771958\pi\) | ||
0.754166 | − | 0.656684i | \(-0.228042\pi\) | |||||||
\(558\) | −159.490 | − | 357.317i | −0.285825 | − | 0.640354i | ||||
\(559\) | −362.621 | −0.648696 | ||||||||
\(560\) | 1.10212i | 0.00196807i | ||||||||
\(561\) | −45.4864 | − | 213.503i | −0.0810809 | − | 0.380577i | ||||
\(562\) | −135.237 | −0.240635 | ||||||||
\(563\) | 938.349i | 1.66669i | 0.552750 | + | 0.833347i | \(0.313579\pi\) | ||||
−0.552750 | + | 0.833347i | \(0.686421\pi\) | |||||||
\(564\) | −135.805 | + | 28.9328i | −0.240788 | + | 0.0512993i | ||||
\(565\) | 33.1538 | 0.0586792 | ||||||||
\(566\) | − | 395.686i | − | 0.699091i | ||||||
\(567\) | 324.606 | − | 361.876i | 0.572498 | − | 0.638230i | ||||
\(568\) | −197.310 | −0.347377 | ||||||||
\(569\) | 262.597i | 0.461505i | 0.973012 | + | 0.230753i | \(0.0741188\pi\) | ||||
−0.973012 | + | 0.230753i | \(0.925881\pi\) | |||||||
\(570\) | 0.0382870 | + | 0.179711i | 6.71702e−5 | + | 0.000315283i | ||||
\(571\) | −305.783 | −0.535521 | −0.267761 | − | 0.963485i | \(-0.586284\pi\) | ||||
−0.267761 | + | 0.963485i | \(0.586284\pi\) | |||||||
\(572\) | 174.572i | 0.305196i | ||||||||
\(573\) | 96.4940 | − | 20.5578i | 0.168401 | − | 0.0358775i | ||||
\(574\) | −277.069 | −0.482699 | ||||||||
\(575\) | 232.202i | 0.403829i | ||||||||
\(576\) | 287.410 | − | 128.287i | 0.498975 | − | 0.222720i | ||||
\(577\) | 631.668 | 1.09475 | 0.547373 | − | 0.836889i | \(-0.315628\pi\) | ||||
0.547373 | + | 0.836889i | \(0.315628\pi\) | |||||||
\(578\) | − | 227.146i | − | 0.392986i | ||||||
\(579\) | −73.2250 | − | 343.703i | −0.126468 | − | 0.593615i | ||||
\(580\) | 14.2212 | 0.0245193 | ||||||||
\(581\) | − | 513.595i | − | 0.883984i | ||||||
\(582\) | −525.509 | + | 111.958i | −0.902936 | + | 0.192368i | ||||
\(583\) | 171.444 | 0.294073 | ||||||||
\(584\) | 535.458i | 0.916880i | ||||||||
\(585\) | −6.53253 | − | 14.6353i | −0.0111667 | − | 0.0250176i | ||||
\(586\) | 358.650 | 0.612031 | ||||||||
\(587\) | − | 588.946i | − | 1.00331i | −0.865066 | − | 0.501657i | \(-0.832724\pi\) | ||
0.865066 | − | 0.501657i | \(-0.167276\pi\) | |||||||
\(588\) | −20.9141 | − | 98.1663i | −0.0355682 | − | 0.166950i | ||||
\(589\) | −9.71354 | −0.0164916 | ||||||||
\(590\) | 1.76550i | 0.00299238i | ||||||||
\(591\) | 63.2376 | − | 13.4726i | 0.107001 | − | 0.0227963i | ||||
\(592\) | 9.44079 | 0.0159473 | ||||||||
\(593\) | − | 123.195i | − | 0.207749i | −0.994590 | − | 0.103875i | \(-0.966876\pi\) | ||
0.994590 | − | 0.103875i | \(-0.0331241\pi\) | |||||||
\(594\) | −139.009 | − | 190.764i | −0.234022 | − | 0.321151i | ||||
\(595\) | −11.4819 | −0.0192973 | ||||||||
\(596\) | 502.764i | 0.843563i | ||||||||
\(597\) | 105.785 | + | 496.532i | 0.177194 | + | 0.831712i | ||||
\(598\) | 102.521 | 0.171439 | ||||||||
\(599\) | 1039.18i | 1.73485i | 0.497564 | + | 0.867427i | \(0.334228\pi\) | ||||
−0.497564 | + | 0.867427i | \(0.665772\pi\) | |||||||
\(600\) | 574.605 | − | 122.418i | 0.957675 | − | 0.204030i | ||||
\(601\) | 703.372 | 1.17034 | 0.585168 | − | 0.810912i | \(-0.301029\pi\) | ||||
0.585168 | + | 0.810912i | \(0.301029\pi\) | |||||||
\(602\) | 280.901i | 0.466613i | ||||||||
\(603\) | 478.112 | − | 213.408i | 0.792889 | − | 0.353910i | ||||
\(604\) | −59.2864 | −0.0981564 | ||||||||
\(605\) | 12.9649i | 0.0214295i | ||||||||
\(606\) | 79.4775 | + | 373.051i | 0.131151 | + | 0.615595i | ||||
\(607\) | −290.004 | −0.477766 | −0.238883 | − | 0.971048i | \(-0.576781\pi\) | ||||
−0.238883 | + | 0.971048i | \(0.576781\pi\) | |||||||
\(608\) | − | 8.66472i | − | 0.0142512i | ||||||
\(609\) | 504.189 | − | 107.416i | 0.827897 | − | 0.176381i | ||||
\(610\) | −16.5111 | −0.0270673 | ||||||||
\(611\) | 165.939i | 0.271586i | ||||||||
\(612\) | −93.8638 | − | 210.290i | −0.153372 | − | 0.343611i | ||||
\(613\) | −637.904 | −1.04063 | −0.520313 | − | 0.853976i | \(-0.674185\pi\) | ||||
−0.520313 | + | 0.853976i | \(0.674185\pi\) | |||||||
\(614\) | − | 289.232i | − | 0.471062i | ||||||
\(615\) | 4.66282 | + | 21.8863i | 0.00758182 | + | 0.0355875i | ||||
\(616\) | 345.100 | 0.560227 | ||||||||
\(617\) | − | 871.415i | − | 1.41234i | −0.708041 | − | 0.706171i | \(-0.750421\pi\) | ||
0.708041 | − | 0.706171i | \(-0.249579\pi\) | |||||||
\(618\) | 158.661 | − | 33.8024i | 0.256734 | − | 0.0546965i | ||||
\(619\) | 529.878 | 0.856023 | 0.428011 | − | 0.903773i | \(-0.359214\pi\) | ||||
0.428011 | + | 0.903773i | \(0.359214\pi\) | |||||||
\(620\) | − | 18.1060i | − | 0.0292032i | ||||||
\(621\) | 202.977 | − | 147.909i | 0.326855 | − | 0.238179i | ||||
\(622\) | −424.634 | −0.682692 | ||||||||
\(623\) | − | 569.430i | − | 0.914013i | ||||||
\(624\) | 5.50449 | + | 25.8369i | 0.00882130 | + | 0.0414053i | ||||
\(625\) | 622.216 | 0.995546 | ||||||||
\(626\) | 352.268i | 0.562729i | ||||||||
\(627\) | −5.73081 | + | 1.22093i | −0.00914004 | + | 0.00194726i | ||||
\(628\) | −264.989 | −0.421957 | ||||||||
\(629\) | 98.3543i | 0.156366i | ||||||||
\(630\) | −11.3371 | + | 5.06037i | −0.0179954 | + | 0.00803233i | ||||
\(631\) | 79.4381 | 0.125892 | 0.0629462 | − | 0.998017i | \(-0.479950\pi\) | ||||
0.0629462 | + | 0.998017i | \(0.479950\pi\) | |||||||
\(632\) | − | 568.942i | − | 0.900225i | ||||||
\(633\) | 125.817 | + | 590.561i | 0.198764 | + | 0.932955i | ||||
\(634\) | 80.0267 | 0.126225 | ||||||||
\(635\) | 13.6511i | 0.0214978i | ||||||||
\(636\) | 176.893 | − | 37.6866i | 0.278133 | − | 0.0592556i | ||||
\(637\) | −119.949 | −0.188303 | ||||||||
\(638\) | − | 250.301i | − | 0.392321i | ||||||
\(639\) | 92.2632 | + | 206.704i | 0.144387 | + | 0.323480i | ||||
\(640\) | 17.0271 | 0.0266048 | ||||||||
\(641\) | 617.174i | 0.962830i | 0.876493 | + | 0.481415i | \(0.159877\pi\) | ||||
−0.876493 | + | 0.481415i | \(0.840123\pi\) | |||||||
\(642\) | −20.4130 | − | 95.8142i | −0.0317959 | − | 0.149243i | ||||
\(643\) | 478.843 | 0.744701 | 0.372351 | − | 0.928092i | \(-0.378552\pi\) | ||||
0.372351 | + | 0.928092i | \(0.378552\pi\) | |||||||
\(644\) | 143.889i | 0.223430i | ||||||||
\(645\) | 22.1890 | − | 4.72730i | 0.0344015 | − | 0.00732915i | ||||
\(646\) | 3.15519 | 0.00488420 | ||||||||
\(647\) | 952.499i | 1.47218i | 0.676885 | + | 0.736088i | \(0.263329\pi\) | ||||
−0.676885 | + | 0.736088i | \(0.736671\pi\) | |||||||
\(648\) | −473.025 | − | 424.307i | −0.729977 | − | 0.654795i | ||||
\(649\) | −56.3001 | −0.0867490 | ||||||||
\(650\) | − | 275.128i | − | 0.423274i | ||||||
\(651\) | −136.759 | − | 641.916i | −0.210075 | − | 0.986046i | ||||
\(652\) | −528.544 | −0.810650 | ||||||||
\(653\) | 838.343i | 1.28383i | 0.766775 | + | 0.641916i | \(0.221860\pi\) | ||||
−0.766775 | + | 0.641916i | \(0.778140\pi\) | |||||||
\(654\) | 597.281 | − | 127.249i | 0.913274 | − | 0.194571i | ||||
\(655\) | −44.6454 | −0.0681610 | ||||||||
\(656\) | − | 36.8840i | − | 0.0562256i | ||||||
\(657\) | 560.949 | − | 250.382i | 0.853804 | − | 0.381099i | ||||
\(658\) | 128.543 | 0.195354 | ||||||||
\(659\) | − | 697.326i | − | 1.05816i | −0.848572 | − | 0.529079i | \(-0.822537\pi\) | ||
0.848572 | − | 0.529079i | \(-0.177463\pi\) | |||||||
\(660\) | −2.27581 | − | 10.6822i | −0.00344820 | − | 0.0161851i | ||||
\(661\) | 122.681 | 0.185599 | 0.0927997 | − | 0.995685i | \(-0.470418\pi\) | ||||
0.0927997 | + | 0.995685i | \(0.470418\pi\) | |||||||
\(662\) | − | 725.910i | − | 1.09654i | ||||||
\(663\) | −269.170 | + | 57.3459i | −0.405987 | + | 0.0864946i | ||||
\(664\) | −671.343 | −1.01106 | ||||||||
\(665\) | 0.308195i | 0.000463451i | ||||||||
\(666\) | 43.3472 | + | 97.1137i | 0.0650858 | + | 0.145816i | ||||
\(667\) | 266.326 | 0.399289 | ||||||||
\(668\) | 791.422i | 1.18476i | ||||||||
\(669\) | 16.0265 | + | 75.2250i | 0.0239559 | + | 0.112444i | ||||
\(670\) | −13.3715 | −0.0199575 | ||||||||
\(671\) | − | 526.521i | − | 0.784681i | ||||||
\(672\) | 572.605 | − | 121.992i | 0.852091 | − | 0.181536i | ||||
\(673\) | 415.437 | 0.617291 | 0.308645 | − | 0.951177i | \(-0.400124\pi\) | ||||
0.308645 | + | 0.951177i | \(0.400124\pi\) | |||||||
\(674\) | − | 46.6396i | − | 0.0691982i | ||||||
\(675\) | −396.934 | − | 544.717i | −0.588050 | − | 0.806987i | ||||
\(676\) | −215.499 | −0.318785 | ||||||||
\(677\) | − | 605.231i | − | 0.893990i | −0.894536 | − | 0.446995i | \(-0.852494\pi\) | ||
0.894536 | − | 0.446995i | \(-0.147506\pi\) | |||||||
\(678\) | −128.269 | − | 602.067i | −0.189187 | − | 0.888004i | ||||
\(679\) | −901.219 | −1.32727 | ||||||||
\(680\) | 15.0085i | 0.0220714i | ||||||||
\(681\) | 257.283 | − | 54.8134i | 0.377801 | − | 0.0804896i | ||||
\(682\) | −318.674 | −0.467264 | ||||||||
\(683\) | 155.804i | 0.228118i | 0.993474 | + | 0.114059i | \(0.0363853\pi\) | ||||
−0.993474 | + | 0.114059i | \(0.963615\pi\) | |||||||
\(684\) | −5.64455 | + | 2.51947i | −0.00825226 | + | 0.00368343i | ||||
\(685\) | −11.0195 | −0.0160869 | ||||||||
\(686\) | 443.670i | 0.646749i | ||||||||
\(687\) | 93.4971 | + | 438.856i | 0.136095 | + | 0.638800i | ||||
\(688\) | −37.3941 | −0.0543519 | ||||||||
\(689\) | − | 216.145i | − | 0.313708i | ||||||
\(690\) | −6.27329 | + | 1.33651i | −0.00909172 | + | 0.00193697i | ||||
\(691\) | −58.8402 | −0.0851523 | −0.0425761 | − | 0.999093i | \(-0.513557\pi\) | ||||
−0.0425761 | + | 0.999093i | \(0.513557\pi\) | |||||||
\(692\) | 16.5597i | 0.0239302i | ||||||||
\(693\) | −161.370 | − | 361.529i | −0.232857 | − | 0.521686i | ||||
\(694\) | 351.766 | 0.506868 | ||||||||
\(695\) | 52.9200i | 0.0761438i | ||||||||
\(696\) | −140.409 | − | 659.049i | −0.201737 | − | 0.946909i | ||||
\(697\) | 384.258 | 0.551303 | ||||||||
\(698\) | 381.798i | 0.546988i | ||||||||
\(699\) | 300.503 | − | 64.0213i | 0.429903 | − | 0.0915899i | ||||
\(700\) | 386.145 | 0.551636 | ||||||||
\(701\) | 1175.46i | 1.67683i | 0.545032 | + | 0.838416i | \(0.316518\pi\) | ||||
−0.545032 | + | 0.838416i | \(0.683482\pi\) | |||||||
\(702\) | −240.501 | + | 175.252i | −0.342594 | + | 0.249647i | ||||
\(703\) | 2.64000 | 0.00375534 | ||||||||
\(704\) | − | 256.327i | − | 0.364101i | ||||||
\(705\) | −2.16326 | − | 10.1539i | −0.00306846 | − | 0.0144027i | ||||
\(706\) | −510.562 | −0.723176 | ||||||||
\(707\) | 639.762i | 0.904897i | ||||||||
\(708\) | −58.0893 | + | 12.3758i | −0.0820470 | + | 0.0174799i | ||||
\(709\) | 1266.22 | 1.78592 | 0.892961 | − | 0.450135i | \(-0.148624\pi\) | ||||
0.892961 | + | 0.450135i | \(0.148624\pi\) | |||||||
\(710\) | − | 5.78096i | − | 0.00814219i | ||||||
\(711\) | −596.028 | + | 266.040i | −0.838295 | + | 0.374177i | ||||
\(712\) | −744.328 | −1.04540 | ||||||||
\(713\) | − | 339.077i | − | 0.475564i | ||||||
\(714\) | 44.4225 | + | 208.510i | 0.0622164 | + | 0.292030i | ||||
\(715\) | −13.0525 | −0.0182552 | ||||||||
\(716\) | 566.732i | 0.791525i | ||||||||
\(717\) | −60.3012 | + | 12.8470i | −0.0841021 | + | 0.0179177i | ||||
\(718\) | −465.649 | −0.648537 | ||||||||
\(719\) | 419.586i | 0.583570i | 0.956484 | + | 0.291785i | \(0.0942491\pi\) | ||||
−0.956484 | + | 0.291785i | \(0.905751\pi\) | |||||||
\(720\) | −0.673646 | − | 1.50922i | −0.000935619 | − | 0.00209613i | ||||
\(721\) | 272.096 | 0.377386 | ||||||||
\(722\) | 430.485i | 0.596239i | ||||||||
\(723\) | 244.870 | + | 1149.37i | 0.338686 | + | 1.58972i | ||||
\(724\) | −158.618 | −0.219086 | ||||||||
\(725\) | − | 714.722i | − | 0.985823i | ||||||
\(726\) | 235.440 | − | 50.1599i | 0.324297 | − | 0.0690907i | ||||
\(727\) | −862.945 | −1.18699 | −0.593497 | − | 0.804836i | \(-0.702253\pi\) | ||||
−0.593497 | + | 0.804836i | \(0.702253\pi\) | |||||||
\(728\) | − | 435.076i | − | 0.597632i | ||||||
\(729\) | −223.319 | + | 693.952i | −0.306336 | + | 0.951924i | ||||
\(730\) | −15.6883 | −0.0214908 | ||||||||
\(731\) | − | 389.572i | − | 0.532931i | ||||||
\(732\) | −115.739 | − | 543.254i | −0.158113 | − | 0.742150i | ||||
\(733\) | −161.777 | −0.220705 | −0.110352 | − | 0.993893i | \(-0.535198\pi\) | ||||
−0.110352 | + | 0.993893i | \(0.535198\pi\) | |||||||
\(734\) | − | 342.451i | − | 0.466554i | ||||||
\(735\) | 7.33975 | − | 1.56371i | 0.00998605 | − | 0.00212750i | ||||
\(736\) | 302.465 | 0.410958 | ||||||||
\(737\) | − | 426.405i | − | 0.578568i | ||||||
\(738\) | 379.412 | − | 169.352i | 0.514108 | − | 0.229474i | ||||
\(739\) | −346.715 | −0.469168 | −0.234584 | − | 0.972096i | \(-0.575373\pi\) | ||||
−0.234584 | + | 0.972096i | \(0.575373\pi\) | |||||||
\(740\) | 4.92094i | 0.00664992i | ||||||||
\(741\) | 1.53926 | + | 7.22498i | 0.00207728 | + | 0.00975031i | ||||
\(742\) | −167.434 | −0.225653 | ||||||||
\(743\) | 658.712i | 0.886557i | 0.896384 | + | 0.443279i | \(0.146185\pi\) | ||||
−0.896384 | + | 0.443279i | \(0.853815\pi\) | |||||||
\(744\) | −839.078 | + | 178.763i | −1.12779 | + | 0.240273i | ||||
\(745\) | −37.5909 | −0.0504575 | ||||||||
\(746\) | 583.026i | 0.781536i | ||||||||
\(747\) | 313.923 | + | 703.304i | 0.420245 | + | 0.941504i | ||||
\(748\) | −187.547 | −0.250732 | ||||||||
\(749\) | − | 164.316i | − | 0.219381i | ||||||
\(750\) | 7.17874 | + | 33.6955i | 0.00957165 | + | 0.0449273i | ||||
\(751\) | −518.163 | −0.689964 | −0.344982 | − | 0.938609i | \(-0.612115\pi\) | ||||
−0.344982 | + | 0.938609i | \(0.612115\pi\) | |||||||
\(752\) | 17.1119i | 0.0227552i | ||||||||
\(753\) | −664.764 | + | 141.626i | −0.882821 | + | 0.188083i | ||||
\(754\) | −315.561 | −0.418515 | ||||||||
\(755\) | − | 4.43276i | − | 0.00587120i | ||||||
\(756\) | −245.969 | − | 337.546i | −0.325355 | − | 0.446489i | ||||
\(757\) | −396.939 | −0.524358 | −0.262179 | − | 0.965019i | \(-0.584441\pi\) | ||||
−0.262179 | + | 0.965019i | \(0.584441\pi\) | |||||||
\(758\) | − | 442.599i | − | 0.583904i | ||||||
\(759\) | −42.6199 | − | 200.049i | −0.0561527 | − | 0.263569i | ||||
\(760\) | 0.402855 | 0.000530073 | ||||||||
\(761\) | − | 143.135i | − | 0.188088i | −0.995568 | − | 0.0940442i | \(-0.970020\pi\) | ||
0.995568 | − | 0.0940442i | \(-0.0299795\pi\) | |||||||
\(762\) | 247.902 | − | 52.8148i | 0.325330 | − | 0.0693108i | ||||
\(763\) | 1024.31 | 1.34247 | ||||||||
\(764\) | − | 84.7629i | − | 0.110946i | ||||||
\(765\) | 15.7230 | − | 7.01805i | 0.0205530 | − | 0.00917393i | ||||
\(766\) | 566.158 | 0.739110 | ||||||||
\(767\) | 70.9791i | 0.0925411i | ||||||||
\(768\) | −153.320 | − | 719.652i | −0.199635 | − | 0.937047i | ||||
\(769\) | −1406.57 | −1.82909 | −0.914546 | − | 0.404482i | \(-0.867452\pi\) | ||||
−0.914546 | + | 0.404482i | \(0.867452\pi\) | |||||||
\(770\) | 10.1110i | 0.0131312i | ||||||||
\(771\) | −1261.75 | + | 268.812i | −1.63651 | + | 0.348654i | ||||
\(772\) | −301.918 | −0.391085 | ||||||||
\(773\) | 1460.02i | 1.88877i | 0.328840 | + | 0.944386i | \(0.393342\pi\) | ||||
−0.328840 | + | 0.944386i | \(0.606658\pi\) | |||||||
\(774\) | −171.694 | − | 384.659i | −0.221827 | − | 0.496975i | ||||
\(775\) | −909.959 | −1.17414 | ||||||||
\(776\) | 1178.02i | 1.51807i | ||||||||
\(777\) | 37.1690 | + | 174.464i | 0.0478366 | + | 0.224535i | ||||
\(778\) | −722.007 | −0.928030 | ||||||||
\(779\) | − | 10.3142i | − | 0.0132403i | ||||||
\(780\) | −13.4673 | + | 2.86917i | −0.0172658 | + | 0.00367843i | ||||
\(781\) | 184.349 | 0.236042 | ||||||||
\(782\) | 110.140i | 0.140844i | ||||||||
\(783\) | −624.768 | + | 455.267i | −0.797916 | + | 0.581439i | ||||
\(784\) | −12.3694 | −0.0157772 | ||||||||
\(785\) | − | 19.8128i | − | 0.0252393i | ||||||
\(786\) | 172.729 | + | 810.754i | 0.219757 | + | 1.03149i | ||||
\(787\) | −139.841 | −0.177688 | −0.0888441 | − | 0.996046i | \(-0.528317\pi\) | ||||
−0.0888441 | + | 0.996046i | \(0.528317\pi\) | |||||||
\(788\) | − | 55.5496i | − | 0.0704944i | ||||||
\(789\) | 266.006 | − | 56.6720i | 0.337144 | − | 0.0718276i | ||||
\(790\) | 16.6693 | 0.0211004 | ||||||||
\(791\) | − | 1032.51i | − | 1.30533i | ||||||
\(792\) | −472.570 | + | 210.934i | −0.596680 | + | 0.266331i | ||||
\(793\) | −663.799 | −0.837074 | ||||||||
\(794\) | − | 620.796i | − | 0.781859i | ||||||
\(795\) | 2.81777 | + | 13.2260i | 0.00354436 | + | 0.0166365i | ||||
\(796\) | 436.167 | 0.547948 | ||||||||
\(797\) | − | 952.594i | − | 1.19522i | −0.801785 | − | 0.597612i | \(-0.796116\pi\) | ||
0.801785 | − | 0.597612i | \(-0.203884\pi\) | |||||||
\(798\) | 5.59677 | − | 1.19238i | 0.00701349 | − | 0.00149421i | ||||
\(799\) | −178.272 | −0.223119 | ||||||||
\(800\) | − | 811.706i | − | 1.01463i | ||||||
\(801\) | 348.051 | + | 779.763i | 0.434521 | + | 0.973487i | ||||
\(802\) | −656.308 | −0.818339 | ||||||||
\(803\) | − | 500.283i | − | 0.623017i | ||||||
\(804\) | −93.7315 | − | 439.956i | −0.116581 | − | 0.547209i | ||||
\(805\) | −10.7584 | −0.0133644 | ||||||||
\(806\) | 401.761i | 0.498462i | ||||||||
\(807\) | 521.796 | − | 111.167i | 0.646587 | − | 0.137754i | ||||
\(808\) | 836.262 | 1.03498 | ||||||||
\(809\) | − | 279.633i | − | 0.345652i | −0.984952 | − | 0.172826i | \(-0.944710\pi\) | ||
0.984952 | − | 0.172826i | \(-0.0552899\pi\) | |||||||
\(810\) | 12.4317 | − | 13.8591i | 0.0153478 | − | 0.0171100i | ||||
\(811\) | −452.074 | −0.557428 | −0.278714 | − | 0.960374i | \(-0.589908\pi\) | ||||
−0.278714 | + | 0.960374i | \(0.589908\pi\) | |||||||
\(812\) | − | 442.893i | − | 0.545435i | ||||||
\(813\) | −269.339 | − | 1264.22i | −0.331290 | − | 1.55501i | ||||
\(814\) | 86.6110 | 0.106402 | ||||||||
\(815\) | − | 39.5184i | − | 0.0484889i | ||||||
\(816\) | −27.7572 | + | 5.91361i | −0.0340162 | + | 0.00724707i | ||||
\(817\) | −10.4568 | −0.0127990 | ||||||||
\(818\) | 460.787i | 0.563310i | ||||||||
\(819\) | −455.789 | + | 203.443i | −0.556519 | + | 0.248405i | ||||
\(820\) | 19.2255 | 0.0234457 | ||||||||
\(821\) | − | 1314.89i | − | 1.60158i | −0.598948 | − | 0.800788i | \(-0.704414\pi\) | ||
0.598948 | − | 0.800788i | \(-0.295586\pi\) | |||||||
\(822\) | 42.6335 | + | 200.113i | 0.0518656 | + | 0.243446i | ||||
\(823\) | 940.398 | 1.14265 | 0.571323 | − | 0.820725i | \(-0.306430\pi\) | ||||
0.571323 | + | 0.820725i | \(0.306430\pi\) | |||||||
\(824\) | − | 355.669i | − | 0.431637i | ||||||
\(825\) | −536.858 | + | 114.376i | −0.650738 | + | 0.138638i | ||||
\(826\) | 54.9833 | 0.0665657 | ||||||||
\(827\) | − | 266.578i | − | 0.322344i | −0.986926 | − | 0.161172i | \(-0.948473\pi\) | ||
0.986926 | − | 0.161172i | \(-0.0515273\pi\) | |||||||
\(828\) | −87.9487 | − | 197.038i | −0.106218 | − | 0.237968i | ||||
\(829\) | 537.997 | 0.648971 | 0.324485 | − | 0.945891i | \(-0.394809\pi\) | ||||
0.324485 | + | 0.945891i | \(0.394809\pi\) | |||||||
\(830\) | − | 19.6695i | − | 0.0236982i | ||||||
\(831\) | −194.395 | − | 912.448i | −0.233929 | − | 1.09801i | ||||
\(832\) | −323.158 | −0.388411 | ||||||||
\(833\) | − | 128.864i | − | 0.154699i | ||||||
\(834\) | 961.018 | − | 204.743i | 1.15230 | − | 0.245495i | ||||
\(835\) | −59.1734 | −0.0708663 | ||||||||
\(836\) | 5.03409i | 0.00602164i | ||||||||
\(837\) | 579.630 | + | 795.433i | 0.692509 | + | 0.950338i | ||||
\(838\) | 794.381 | 0.947949 | ||||||||
\(839\) | 498.585i | 0.594261i | 0.954837 | + | 0.297131i | \(0.0960297\pi\) | ||||
−0.954837 | + | 0.297131i | \(0.903970\pi\) | |||||||
\(840\) | 5.67187 | + | 26.6226i | 0.00675223 | + | 0.0316935i | ||||
\(841\) | 21.2429 | 0.0252591 | ||||||||
\(842\) | 837.314i | 0.994435i | ||||||||
\(843\) | 332.692 | − | 70.8792i | 0.394652 | − | 0.0840797i | ||||
\(844\) | 518.764 | 0.614650 | ||||||||
\(845\) | − | 16.1125i | − | 0.0190681i | ||||||
\(846\) | −176.024 | + | 78.5690i | −0.208066 | + | 0.0928711i | ||||
\(847\) | 403.767 | 0.476702 | ||||||||
\(848\) | − | 22.2892i | − | 0.0262844i | ||||||
\(849\) | 207.383 | + | 973.412i | 0.244267 | + | 1.14654i | ||||
\(850\) | 295.576 | 0.347737 | ||||||||
\(851\) | 92.1562i | 0.108292i | ||||||||
\(852\) | 190.207 | − | 40.5232i | 0.223248 | − | 0.0475625i | ||||
\(853\) | 722.962 | 0.847552 | 0.423776 | − | 0.905767i | \(-0.360704\pi\) | ||||
0.423776 | + | 0.905767i | \(0.360704\pi\) | |||||||
\(854\) | 514.206i | 0.602115i | ||||||||
\(855\) | −0.188377 | − | 0.422034i | −0.000220324 | − | 0.000493607i | ||||
\(856\) | −214.785 | −0.250917 | ||||||||
\(857\) | − | 1021.51i | − | 1.19196i | −0.802999 | − | 0.595980i | \(-0.796764\pi\) | ||
0.802999 | − | 0.595980i | \(-0.203236\pi\) | |||||||
\(858\) | 50.4989 | + | 237.031i | 0.0588566 | + | 0.276260i | ||||
\(859\) | 1231.67 | 1.43384 | 0.716921 | − | 0.697155i | \(-0.245551\pi\) | ||||
0.716921 | + | 0.697155i | \(0.245551\pi\) | |||||||
\(860\) | − | 19.4914i | − | 0.0226644i | ||||||
\(861\) | 681.608 | − | 145.215i | 0.791647 | − | 0.168658i | ||||
\(862\) | −846.425 | −0.981932 | ||||||||
\(863\) | − | 1029.75i | − | 1.19322i | −0.802532 | − | 0.596609i | \(-0.796514\pi\) | ||
0.802532 | − | 0.596609i | \(-0.203486\pi\) | |||||||
\(864\) | −709.546 | + | 517.044i | −0.821233 | + | 0.598431i | ||||
\(865\) | −1.23814 | −0.00143138 | ||||||||
\(866\) | 62.8810i | 0.0726108i | ||||||||
\(867\) | 119.050 | + | 558.794i | 0.137312 | + | 0.644514i | ||||
\(868\) | −563.876 | −0.649627 | ||||||||
\(869\) | 531.568i | 0.611701i | ||||||||
\(870\) | 19.3093 | − | 4.11380i | 0.0221946 | − | 0.00472851i | ||||
\(871\) | −537.580 | −0.617199 | ||||||||
\(872\) | − | 1338.92i | − | 1.53545i | ||||||
\(873\) | 1234.11 | − | 550.849i | 1.41364 | − | 0.630984i | ||||
\(874\) | 2.95636 | 0.00338256 | ||||||||
\(875\) | 57.7859i | 0.0660411i | ||||||||
\(876\) | −109.971 | − | 516.182i | −0.125538 | − | 0.589249i | ||||
\(877\) | 1296.24 | 1.47804 | 0.739022 | − | 0.673681i | \(-0.235288\pi\) | ||||
0.739022 | + | 0.673681i | \(0.235288\pi\) | |||||||
\(878\) | 31.8137i | 0.0362343i | ||||||||
\(879\) | −882.303 | + | 187.972i | −1.00376 | + | 0.213848i | ||||
\(880\) | −1.34600 | −0.00152954 | ||||||||
\(881\) | − | 719.323i | − | 0.816485i | −0.912873 | − | 0.408243i | \(-0.866142\pi\) | ||
0.912873 | − | 0.408243i | \(-0.133858\pi\) | |||||||
\(882\) | −56.7936 | − | 127.239i | −0.0643918 | − | 0.144262i | ||||
\(883\) | 24.3022 | 0.0275223 | 0.0137612 | − | 0.999905i | \(-0.495620\pi\) | ||||
0.0137612 | + | 0.999905i | \(0.495620\pi\) | |||||||
\(884\) | 236.446i | 0.267473i | ||||||||
\(885\) | −0.925318 | − | 4.34325i | −0.00104556 | − | 0.00490762i | ||||
\(886\) | 335.501 | 0.378670 | ||||||||
\(887\) | 58.2586i | 0.0656805i | 0.999461 | + | 0.0328403i | \(0.0104553\pi\) | ||||
−0.999461 | + | 0.0328403i | \(0.989545\pi\) | |||||||
\(888\) | 228.049 | − | 48.5853i | 0.256812 | − | 0.0547132i | ||||
\(889\) | 425.138 | 0.478220 | ||||||||
\(890\) | − | 21.8079i | − | 0.0245033i | ||||||
\(891\) | 441.952 | + | 396.434i | 0.496018 | + | 0.444932i | ||||
\(892\) | 66.0796 | 0.0740803 | ||||||||
\(893\) | 4.78514i | 0.00535850i | ||||||||
\(894\) | 145.436 | + | 682.644i | 0.162680 | + | 0.763584i | ||||
\(895\) | −42.3737 | −0.0473449 | ||||||||
\(896\) | − | 530.276i | − | 0.591826i | ||||||
\(897\) | −252.207 | + | 53.7321i | −0.281167 | + | 0.0599020i | ||||
\(898\) | −970.524 | −1.08076 | ||||||||
\(899\) | 1043.69i | 1.16094i | ||||||||
\(900\) | −528.778 | + | 236.022i | −0.587531 | + | 0.262247i | ||||
\(901\) | 232.209 | 0.257724 | ||||||||
\(902\) | − | 338.379i | − | 0.375143i | ||||||
\(903\) | −147.223 | − | 691.034i | −0.163038 | − | 0.765265i | ||||
\(904\) | −1349.64 | −1.49297 | ||||||||
\(905\) | − | 11.8596i | − | 0.0131046i | ||||||
\(906\) | −80.4981 | + | 17.1499i | −0.0888500 | + | 0.0189293i | ||||
\(907\) | 420.537 | 0.463658 | 0.231829 | − | 0.972757i | \(-0.425529\pi\) | ||||
0.231829 | + | 0.972757i | \(0.425529\pi\) | |||||||
\(908\) | − | 226.004i | − | 0.248903i | ||||||
\(909\) | −391.040 | − | 876.073i | −0.430186 | − | 0.963777i | ||||
\(910\) | 12.7472 | 0.0140079 | ||||||||
\(911\) | − | 1416.28i | − | 1.55464i | −0.629103 | − | 0.777322i | \(-0.716578\pi\) | ||
0.629103 | − | 0.777322i | \(-0.283422\pi\) | |||||||
\(912\) | 0.158732 | + | 0.745053i | 0.000174048 | + | 0.000816944i | ||||
\(913\) | 627.242 | 0.687012 | ||||||||
\(914\) | − | 181.473i | − | 0.198548i | ||||||
\(915\) | 40.6182 | − | 8.65362i | 0.0443915 | − | 0.00945750i | ||||
\(916\) | 385.503 | 0.420855 | ||||||||
\(917\) | 1390.40i | 1.51625i | ||||||||
\(918\) | −188.278 | − | 258.376i | −0.205096 | − | 0.281455i | ||||
\(919\) | 537.719 | 0.585113 | 0.292556 | − | 0.956248i | \(-0.405494\pi\) | ||||
0.292556 | + | 0.956248i | \(0.405494\pi\) | |||||||
\(920\) | 14.0627i | 0.0152856i | ||||||||
\(921\) | 151.589 | + | 711.528i | 0.164592 | + | 0.772561i | ||||
\(922\) | 180.407 | 0.195669 | ||||||||
\(923\) | − | 232.414i | − | 0.251802i | ||||||
\(924\) | −332.676 | + | 70.8759i | −0.360039 | + | 0.0767055i | ||||
\(925\) | 247.314 | 0.267366 | ||||||||
\(926\) | 225.049i | 0.243033i | ||||||||
\(927\) | −372.601 | + | 166.312i | −0.401943 | + | 0.179409i | ||||
\(928\) | −930.994 | −1.00323 | ||||||||
\(929\) | 138.841i | 0.149452i | 0.997204 | + | 0.0747261i | \(0.0238082\pi\) | ||||
−0.997204 | + | 0.0747261i | \(0.976192\pi\) | |||||||
\(930\) | −5.23755 | − | 24.5840i | −0.00563178 | − | 0.0264344i | ||||
\(931\) | −3.45894 | −0.00371529 | ||||||||
\(932\) | − | 263.969i | − | 0.283229i | ||||||
\(933\) | 1044.63 | − | 222.555i | 1.11964 | − | 0.238537i | ||||
\(934\) | −662.791 | −0.709627 | ||||||||
\(935\) | − | 14.0226i | − | 0.0149974i | ||||||
\(936\) | 265.930 | + | 595.782i | 0.284114 | + | 0.636520i | ||||
\(937\) | −991.815 | −1.05850 | −0.529250 | − | 0.848466i | \(-0.677527\pi\) | ||||
−0.529250 | + | 0.848466i | \(0.677527\pi\) | |||||||
\(938\) | 416.431i | 0.443957i | ||||||||
\(939\) | −184.627 | − | 866.602i | −0.196621 | − | 0.922899i | ||||
\(940\) | −8.91946 | −0.00948878 | ||||||||
\(941\) | 827.099i | 0.878957i | 0.898253 | + | 0.439479i | \(0.144837\pi\) | ||||
−0.898253 | + | 0.439479i | \(0.855163\pi\) | |||||||
\(942\) | −359.798 | + | 76.6540i | −0.381951 | + | 0.0813736i | ||||
\(943\) | 360.043 | 0.381806 | ||||||||
\(944\) | 7.31948i | 0.00775369i | ||||||||
\(945\) | 25.2378 | − | 18.3907i | 0.0267066 | − | 0.0194611i | ||||
\(946\) | −343.058 | −0.362641 | ||||||||
\(947\) | − | 1248.97i | − | 1.31887i | −0.751761 | − | 0.659435i | \(-0.770795\pi\) | ||
0.751761 | − | 0.659435i | \(-0.229205\pi\) | |||||||
\(948\) | 116.848 | + | 548.461i | 0.123258 | + | 0.578545i | ||||
\(949\) | −630.720 | −0.664616 | ||||||||
\(950\) | − | 7.93379i | − | 0.00835136i | ||||||
\(951\) | −196.871 | + | 41.9428i | −0.207014 | + | 0.0441039i | ||||
\(952\) | 467.413 | 0.490980 | ||||||||
\(953\) | 1418.06i | 1.48800i | 0.668181 | + | 0.743999i | \(0.267073\pi\) | ||||
−0.668181 | + | 0.743999i | \(0.732927\pi\) | |||||||
\(954\) | 229.280 | − | 102.340i | 0.240336 | − | 0.107275i | ||||
\(955\) | 6.33759 | 0.00663622 | ||||||||
\(956\) | 52.9702i | 0.0554082i | ||||||||
\(957\) | 131.185 | + | 615.755i | 0.137080 | + | 0.643422i | ||||
\(958\) | 315.135 | 0.328951 | ||||||||
\(959\) | 343.182i | 0.357854i | ||||||||
\(960\) | 19.7742 | − | 4.21285i | 0.0205981 | − | 0.00438838i | ||||
\(961\) | 367.785 | 0.382710 | ||||||||
\(962\) | − | 109.193i | − | 0.113506i | ||||||
\(963\) | 100.434 | + | 225.010i | 0.104293 | + | 0.233656i | ||||
\(964\) | 1009.64 | 1.04734 | ||||||||
\(965\) | − | 22.5739i | − | 0.0233927i | ||||||
\(966\) | 41.6231 | + | 195.370i | 0.0430881 | + | 0.202246i | ||||
\(967\) | −97.1495 | −0.100465 | −0.0502324 | − | 0.998738i | \(-0.515996\pi\) | ||||
−0.0502324 | + | 0.998738i | \(0.515996\pi\) | |||||||
\(968\) | − | 527.782i | − | 0.545229i | ||||||
\(969\) | −7.76197 | + | 1.65367i | −0.00801029 | + | 0.00170657i | ||||
\(970\) | −34.5147 | −0.0355822 | ||||||||
\(971\) | − | 260.835i | − | 0.268625i | −0.990939 | − | 0.134313i | \(-0.957117\pi\) | ||
0.990939 | − | 0.134313i | \(-0.0428826\pi\) | |||||||
\(972\) | 543.140 | + | 311.884i | 0.558786 | + | 0.320868i | ||||
\(973\) | 1648.09 | 1.69383 | ||||||||
\(974\) | 194.732i | 0.199930i | ||||||||
\(975\) | 144.197 | + | 676.832i | 0.147895 | + | 0.694187i | ||||
\(976\) | −68.4521 | −0.0701354 | ||||||||
\(977\) | − | 161.305i | − | 0.165103i | −0.996587 | − | 0.0825514i | \(-0.973693\pi\) | ||
0.996587 | − | 0.0825514i | \(-0.0263069\pi\) | |||||||
\(978\) | −717.648 | + | 152.893i | −0.733792 | + | 0.156332i | ||||
\(979\) | 695.433 | 0.710350 | ||||||||
\(980\) | − | 6.44743i | − | 0.00657901i | ||||||
\(981\) | −1402.66 | + | 626.083i | −1.42982 | + | 0.638209i | ||||
\(982\) | 1054.80 | 1.07413 | ||||||||
\(983\) | 613.624i | 0.624236i | 0.950043 | + | 0.312118i | \(0.101038\pi\) | ||||
−0.950043 | + | 0.312118i | \(0.898962\pi\) | |||||||
\(984\) | −189.817 | − | 890.961i | −0.192903 | − | 0.905448i | ||||
\(985\) | 4.15336 | 0.00421661 | ||||||||
\(986\) | − | 339.014i | − | 0.343828i | ||||||
\(987\) | −316.224 | + | 67.3708i | −0.320389 | + | 0.0682581i | ||||
\(988\) | 6.34662 | 0.00642370 | ||||||||
\(989\) | − | 365.022i | − | 0.369082i | ||||||
\(990\) | −6.18011 | − | 13.8457i | −0.00624254 | − | 0.0139856i | ||||
\(991\) | 184.208 | 0.185881 | 0.0929406 | − | 0.995672i | \(-0.470373\pi\) | ||||
0.0929406 | + | 0.995672i | \(0.470373\pi\) | |||||||
\(992\) | 1185.31i | 1.19487i | ||||||||
\(993\) | 380.457 | + | 1785.78i | 0.383139 | + | 1.79837i | ||||
\(994\) | −180.037 | −0.181124 | ||||||||
\(995\) | 32.6115i | 0.0327754i | ||||||||
\(996\) | 647.176 | − | 137.879i | 0.649775 | − | 0.138433i | ||||
\(997\) | 754.789 | 0.757060 | 0.378530 | − | 0.925589i | \(-0.376430\pi\) | ||||
0.378530 | + | 0.925589i | \(0.376430\pi\) | |||||||
\(998\) | − | 648.601i | − | 0.649901i | ||||||
\(999\) | −157.535 | − | 216.187i | −0.157693 | − | 0.216404i |
(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 | 177.3.b.a.119.16 | ✓ | 38 | |
3.2 | odd | 2 | inner | 177.3.b.a.119.23 | yes | 38 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.3.b.a.119.16 | ✓ | 38 | 1.1 | even | 1 | trivial | |
177.3.b.a.119.23 | yes | 38 | 3.2 | odd | 2 | inner |