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 | 119.28 | ||
Character | \(\chi\) | \(=\) | 177.119 |
Dual form | 177.3.b.a.119.11 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.90736i | 0.953682i | 0.878989 | + | 0.476841i | \(0.158218\pi\) | ||||
−0.878989 | + | 0.476841i | \(0.841782\pi\) | |||||||
\(3\) | −2.89185 | − | 0.798268i | −0.963948 | − | 0.266089i | ||||
\(4\) | 0.361959 | 0.0904898 | ||||||||
\(5\) | − | 0.0951742i | − | 0.0190348i | −0.999955 | − | 0.00951742i | \(-0.996970\pi\) | ||
0.999955 | − | 0.00951742i | \(-0.00302954\pi\) | |||||||
\(6\) | 1.52259 | − | 5.51580i | 0.253765 | − | 0.919301i | ||||
\(7\) | −10.1724 | −1.45319 | −0.726596 | − | 0.687064i | \(-0.758899\pi\) | ||||
−0.726596 | + | 0.687064i | \(0.758899\pi\) | |||||||
\(8\) | 8.31985i | 1.03998i | ||||||||
\(9\) | 7.72554 | + | 4.61693i | 0.858393 | + | 0.512993i | ||||
\(10\) | 0.181532 | 0.0181532 | ||||||||
\(11\) | − | 21.4541i | − | 1.95037i | −0.221395 | − | 0.975184i | \(-0.571061\pi\) | ||
0.221395 | − | 0.975184i | \(-0.428939\pi\) | |||||||
\(12\) | −1.04673 | − | 0.288940i | −0.0872275 | − | 0.0240784i | ||||
\(13\) | −18.5391 | −1.42609 | −0.713043 | − | 0.701120i | \(-0.752684\pi\) | ||||
−0.713043 | + | 0.701120i | \(0.752684\pi\) | |||||||
\(14\) | − | 19.4024i | − | 1.38588i | ||||||
\(15\) | −0.0759745 | + | 0.275229i | −0.00506497 | + | 0.0183486i | ||||
\(16\) | −14.4211 | −0.901322 | ||||||||
\(17\) | − | 11.7919i | − | 0.693643i | −0.937931 | − | 0.346822i | \(-0.887261\pi\) | ||
0.937931 | − | 0.346822i | \(-0.112739\pi\) | |||||||
\(18\) | −8.80618 | + | 14.7354i | −0.489232 | + | 0.818634i | ||||
\(19\) | −16.0947 | −0.847087 | −0.423544 | − | 0.905876i | \(-0.639214\pi\) | ||||
−0.423544 | + | 0.905876i | \(0.639214\pi\) | |||||||
\(20\) | − | 0.0344492i | − | 0.00172246i | ||||||
\(21\) | 29.4169 | + | 8.12026i | 1.40080 | + | 0.386679i | ||||
\(22\) | 40.9207 | 1.86003 | ||||||||
\(23\) | − | 4.05406i | − | 0.176264i | −0.996109 | − | 0.0881318i | \(-0.971910\pi\) | ||
0.996109 | − | 0.0881318i | \(-0.0280897\pi\) | |||||||
\(24\) | 6.64147 | − | 24.0597i | 0.276728 | − | 1.00249i | ||||
\(25\) | 24.9909 | 0.999638 | ||||||||
\(26\) | − | 35.3609i | − | 1.36003i | ||||||
\(27\) | −18.6555 | − | 19.5185i | −0.690945 | − | 0.722907i | ||||
\(28\) | −3.68198 | −0.131499 | ||||||||
\(29\) | − | 13.2543i | − | 0.457046i | −0.973538 | − | 0.228523i | \(-0.926610\pi\) | ||
0.973538 | − | 0.228523i | \(-0.0733896\pi\) | |||||||
\(30\) | −0.524962 | − | 0.144911i | −0.0174987 | − | 0.00483037i | ||||
\(31\) | −10.0374 | −0.323789 | −0.161894 | − | 0.986808i | \(-0.551760\pi\) | ||||
−0.161894 | + | 0.986808i | \(0.551760\pi\) | |||||||
\(32\) | 5.77300i | 0.180406i | ||||||||
\(33\) | −17.1261 | + | 62.0418i | −0.518972 | + | 1.88005i | ||||
\(34\) | 22.4915 | 0.661516 | ||||||||
\(35\) | 0.968146i | 0.0276613i | ||||||||
\(36\) | 2.79633 | + | 1.67114i | 0.0776758 | + | 0.0464206i | ||||
\(37\) | −26.6736 | −0.720908 | −0.360454 | − | 0.932777i | \(-0.617378\pi\) | ||||
−0.360454 | + | 0.932777i | \(0.617378\pi\) | |||||||
\(38\) | − | 30.6984i | − | 0.807852i | ||||||
\(39\) | 53.6123 | + | 14.7992i | 1.37467 | + | 0.379466i | ||||
\(40\) | 0.791835 | 0.0197959 | ||||||||
\(41\) | 42.3187i | 1.03216i | 0.856539 | + | 0.516082i | \(0.172610\pi\) | ||||
−0.856539 | + | 0.516082i | \(0.827390\pi\) | |||||||
\(42\) | −15.4883 | + | 56.1087i | −0.368769 | + | 1.33592i | ||||
\(43\) | −55.1187 | −1.28183 | −0.640915 | − | 0.767612i | \(-0.721445\pi\) | ||||
−0.640915 | + | 0.767612i | \(0.721445\pi\) | |||||||
\(44\) | − | 7.76549i | − | 0.176488i | ||||||
\(45\) | 0.439413 | − | 0.735272i | 0.00976474 | − | 0.0163394i | ||||
\(46\) | 7.73258 | 0.168100 | ||||||||
\(47\) | 37.5402i | 0.798727i | 0.916793 | + | 0.399364i | \(0.130769\pi\) | ||||
−0.916793 | + | 0.399364i | \(0.869231\pi\) | |||||||
\(48\) | 41.7037 | + | 11.5119i | 0.868828 | + | 0.239832i | ||||
\(49\) | 54.4767 | 1.11177 | ||||||||
\(50\) | 47.6668i | 0.953337i | ||||||||
\(51\) | −9.41312 | + | 34.1005i | −0.184571 | + | 0.668637i | ||||
\(52\) | −6.71041 | −0.129046 | ||||||||
\(53\) | 72.8845i | 1.37518i | 0.726099 | + | 0.687590i | \(0.241331\pi\) | ||||
−0.726099 | + | 0.687590i | \(0.758669\pi\) | |||||||
\(54\) | 37.2289 | − | 35.5829i | 0.689424 | − | 0.658942i | ||||
\(55\) | −2.04187 | −0.0371250 | ||||||||
\(56\) | − | 84.6324i | − | 1.51129i | ||||||
\(57\) | 46.5433 | + | 12.8478i | 0.816549 | + | 0.225401i | ||||
\(58\) | 25.2809 | 0.435877 | ||||||||
\(59\) | 7.68115i | 0.130189i | ||||||||
\(60\) | −0.0274997 | + | 0.0996217i | −0.000458328 | + | 0.00166036i | ||||
\(61\) | −69.0450 | −1.13188 | −0.565942 | − | 0.824445i | \(-0.691488\pi\) | ||||
−0.565942 | + | 0.824445i | \(0.691488\pi\) | |||||||
\(62\) | − | 19.1451i | − | 0.308792i | ||||||
\(63\) | −78.5869 | − | 46.9651i | −1.24741 | − | 0.745477i | ||||
\(64\) | −68.6958 | −1.07337 | ||||||||
\(65\) | 1.76445i | 0.0271453i | ||||||||
\(66\) | −118.336 | − | 32.6657i | −1.79298 | − | 0.494935i | ||||
\(67\) | 60.8758 | 0.908594 | 0.454297 | − | 0.890850i | \(-0.349890\pi\) | ||||
0.454297 | + | 0.890850i | \(0.349890\pi\) | |||||||
\(68\) | − | 4.26820i | − | 0.0627676i | ||||||
\(69\) | −3.23623 | + | 11.7237i | −0.0469019 | + | 0.169909i | ||||
\(70\) | −1.84661 | −0.0263801 | ||||||||
\(71\) | − | 50.2583i | − | 0.707864i | −0.935271 | − | 0.353932i | \(-0.884844\pi\) | ||
0.935271 | − | 0.353932i | \(-0.115156\pi\) | |||||||
\(72\) | −38.4122 | + | 64.2753i | −0.533502 | + | 0.892712i | ||||
\(73\) | 29.1706 | 0.399597 | 0.199799 | − | 0.979837i | \(-0.435971\pi\) | ||||
0.199799 | + | 0.979837i | \(0.435971\pi\) | |||||||
\(74\) | − | 50.8763i | − | 0.687518i | ||||||
\(75\) | −72.2699 | − | 19.9495i | −0.963599 | − | 0.265993i | ||||
\(76\) | −5.82561 | −0.0766528 | ||||||||
\(77\) | 218.238i | 2.83426i | ||||||||
\(78\) | −28.2275 | + | 102.258i | −0.361890 | + | 1.31100i | ||||
\(79\) | 59.8769 | 0.757936 | 0.378968 | − | 0.925410i | \(-0.376279\pi\) | ||||
0.378968 | + | 0.925410i | \(0.376279\pi\) | |||||||
\(80\) | 1.37252i | 0.0171565i | ||||||||
\(81\) | 38.3679 | + | 71.3366i | 0.473677 | + | 0.880698i | ||||
\(82\) | −80.7172 | −0.984356 | ||||||||
\(83\) | − | 92.7342i | − | 1.11728i | −0.829411 | − | 0.558640i | \(-0.811324\pi\) | ||
0.829411 | − | 0.558640i | \(-0.188676\pi\) | |||||||
\(84\) | 10.6477 | + | 2.93920i | 0.126758 | + | 0.0349905i | ||||
\(85\) | −1.12229 | −0.0132034 | ||||||||
\(86\) | − | 105.131i | − | 1.22246i | ||||||
\(87\) | −10.5805 | + | 38.3295i | −0.121615 | + | 0.440569i | ||||
\(88\) | 178.494 | 2.02835 | ||||||||
\(89\) | − | 130.792i | − | 1.46957i | −0.678298 | − | 0.734787i | \(-0.737282\pi\) | ||
0.678298 | − | 0.734787i | \(-0.262718\pi\) | |||||||
\(90\) | 1.40243 | + | 0.838121i | 0.0155826 | + | 0.00931246i | ||||
\(91\) | 188.587 | 2.07238 | ||||||||
\(92\) | − | 1.46741i | − | 0.0159501i | ||||||
\(93\) | 29.0267 | + | 8.01257i | 0.312116 | + | 0.0861567i | ||||
\(94\) | −71.6028 | −0.761732 | ||||||||
\(95\) | 1.53180i | 0.0161242i | ||||||||
\(96\) | 4.60840 | − | 16.6946i | 0.0480041 | − | 0.173902i | ||||
\(97\) | 68.0654 | 0.701705 | 0.350852 | − | 0.936431i | \(-0.385892\pi\) | ||||
0.350852 | + | 0.936431i | \(0.385892\pi\) | |||||||
\(98\) | 103.907i | 1.06028i | ||||||||
\(99\) | 99.0519 | − | 165.744i | 1.00052 | − | 1.67418i | ||||
\(100\) | 9.04570 | 0.0904570 | ||||||||
\(101\) | 132.603i | 1.31290i | 0.754371 | + | 0.656449i | \(0.227942\pi\) | ||||
−0.754371 | + | 0.656449i | \(0.772058\pi\) | |||||||
\(102\) | −65.0420 | − | 17.9543i | −0.637667 | − | 0.176022i | ||||
\(103\) | −15.8984 | −0.154353 | −0.0771767 | − | 0.997017i | \(-0.524591\pi\) | ||||
−0.0771767 | + | 0.997017i | \(0.524591\pi\) | |||||||
\(104\) | − | 154.243i | − | 1.48310i | ||||||
\(105\) | 0.772839 | − | 2.79973i | 0.00736038 | − | 0.0266641i | ||||
\(106\) | −139.017 | −1.31148 | ||||||||
\(107\) | − | 118.559i | − | 1.10803i | −0.832508 | − | 0.554013i | \(-0.813096\pi\) | ||
0.832508 | − | 0.554013i | \(-0.186904\pi\) | |||||||
\(108\) | −6.75253 | − | 7.06490i | −0.0625234 | − | 0.0654157i | ||||
\(109\) | 71.1676 | 0.652914 | 0.326457 | − | 0.945212i | \(-0.394145\pi\) | ||||
0.326457 | + | 0.945212i | \(0.394145\pi\) | |||||||
\(110\) | − | 3.89460i | − | 0.0354054i | ||||||
\(111\) | 77.1359 | + | 21.2927i | 0.694918 | + | 0.191826i | ||||
\(112\) | 146.697 | 1.30979 | ||||||||
\(113\) | 13.6200i | 0.120531i | 0.998182 | + | 0.0602654i | \(0.0191947\pi\) | ||||
−0.998182 | + | 0.0602654i | \(0.980805\pi\) | |||||||
\(114\) | −24.5055 | + | 88.7750i | −0.214961 | + | 0.778728i | ||||
\(115\) | −0.385842 | −0.00335515 | ||||||||
\(116\) | − | 4.79753i | − | 0.0413580i | ||||||
\(117\) | −143.225 | − | 85.5939i | −1.22414 | − | 0.731572i | ||||
\(118\) | −14.6507 | −0.124159 | ||||||||
\(119\) | 119.952i | 1.00800i | ||||||||
\(120\) | −2.28986 | − | 0.632096i | −0.0190822 | − | 0.00526747i | ||||
\(121\) | −339.276 | −2.80394 | ||||||||
\(122\) | − | 131.694i | − | 1.07946i | ||||||
\(123\) | 33.7817 | − | 122.379i | 0.274648 | − | 0.994953i | ||||
\(124\) | −3.63315 | −0.0292996 | ||||||||
\(125\) | − | 4.75785i | − | 0.0380628i | ||||||
\(126\) | 89.5795 | − | 149.894i | 0.710948 | − | 1.18963i | ||||
\(127\) | −120.467 | −0.948557 | −0.474279 | − | 0.880375i | \(-0.657291\pi\) | ||||
−0.474279 | + | 0.880375i | \(0.657291\pi\) | |||||||
\(128\) | − | 107.936i | − | 0.843250i | ||||||
\(129\) | 159.395 | + | 43.9995i | 1.23562 | + | 0.341081i | ||||
\(130\) | −3.36545 | −0.0258880 | ||||||||
\(131\) | 210.339i | 1.60564i | 0.596221 | + | 0.802820i | \(0.296668\pi\) | ||||
−0.596221 | + | 0.802820i | \(0.703332\pi\) | |||||||
\(132\) | −6.19894 | + | 22.4566i | −0.0469617 | + | 0.170126i | ||||
\(133\) | 163.721 | 1.23098 | ||||||||
\(134\) | 116.112i | 0.866511i | ||||||||
\(135\) | −1.85766 | + | 1.77552i | −0.0137604 | + | 0.0131520i | ||||
\(136\) | 98.1071 | 0.721376 | ||||||||
\(137\) | − | 228.804i | − | 1.67010i | −0.550170 | − | 0.835052i | \(-0.685437\pi\) | ||
0.550170 | − | 0.835052i | \(-0.314563\pi\) | |||||||
\(138\) | −22.3614 | − | 6.17267i | −0.162039 | − | 0.0447295i | ||||
\(139\) | −235.370 | −1.69331 | −0.846655 | − | 0.532142i | \(-0.821387\pi\) | ||||
−0.846655 | + | 0.532142i | \(0.821387\pi\) | |||||||
\(140\) | 0.350429i | 0.00250307i | ||||||||
\(141\) | 29.9671 | − | 108.560i | 0.212533 | − | 0.769932i | ||||
\(142\) | 95.8609 | 0.675077 | ||||||||
\(143\) | 397.739i | 2.78140i | ||||||||
\(144\) | −111.411 | − | 66.5815i | −0.773688 | − | 0.462371i | ||||
\(145\) | −1.26147 | −0.00869981 | ||||||||
\(146\) | 55.6390i | 0.381089i | ||||||||
\(147\) | −157.538 | − | 43.4870i | −1.07169 | − | 0.295830i | ||||
\(148\) | −9.65476 | −0.0652348 | ||||||||
\(149\) | − | 52.3287i | − | 0.351200i | −0.984462 | − | 0.175600i | \(-0.943814\pi\) | ||
0.984462 | − | 0.175600i | \(-0.0561865\pi\) | |||||||
\(150\) | 38.0509 | − | 137.845i | 0.253673 | − | 0.918968i | ||||
\(151\) | 182.444 | 1.20824 | 0.604121 | − | 0.796893i | \(-0.293525\pi\) | ||||
0.604121 | + | 0.796893i | \(0.293525\pi\) | |||||||
\(152\) | − | 133.905i | − | 0.880955i | ||||||
\(153\) | 54.4426 | − | 91.0991i | 0.355834 | − | 0.595419i | ||||
\(154\) | −416.260 | −2.70299 | ||||||||
\(155\) | 0.955307i | 0.00616327i | ||||||||
\(156\) | 19.4055 | + | 5.35670i | 0.124394 | + | 0.0343378i | ||||
\(157\) | −274.716 | −1.74978 | −0.874891 | − | 0.484320i | \(-0.839067\pi\) | ||||
−0.874891 | + | 0.484320i | \(0.839067\pi\) | |||||||
\(158\) | 114.207i | 0.722830i | ||||||||
\(159\) | 58.1814 | − | 210.771i | 0.365920 | − | 1.32560i | ||||
\(160\) | 0.549441 | 0.00343400 | ||||||||
\(161\) | 41.2394i | 0.256145i | ||||||||
\(162\) | −136.065 | + | 73.1815i | −0.839907 | + | 0.451738i | ||||
\(163\) | 94.9693 | 0.582634 | 0.291317 | − | 0.956627i | \(-0.405907\pi\) | ||||
0.291317 | + | 0.956627i | \(0.405907\pi\) | |||||||
\(164\) | 15.3176i | 0.0934003i | ||||||||
\(165\) | 5.90478 | + | 1.62996i | 0.0357866 | + | 0.00987855i | ||||
\(166\) | 176.878 | 1.06553 | ||||||||
\(167\) | − | 195.343i | − | 1.16972i | −0.811136 | − | 0.584858i | \(-0.801150\pi\) | ||
0.811136 | − | 0.584858i | \(-0.198850\pi\) | |||||||
\(168\) | −67.5593 | + | 244.744i | −0.402139 | + | 1.45681i | ||||
\(169\) | 174.699 | 1.03372 | ||||||||
\(170\) | − | 2.14061i | − | 0.0125918i | ||||||
\(171\) | −124.340 | − | 74.3080i | −0.727134 | − | 0.434550i | ||||
\(172\) | −19.9507 | −0.115993 | ||||||||
\(173\) | − | 188.675i | − | 1.09061i | −0.838238 | − | 0.545304i | \(-0.816414\pi\) | ||
0.838238 | − | 0.545304i | \(-0.183586\pi\) | |||||||
\(174\) | −73.1083 | − | 20.1809i | −0.420163 | − | 0.115982i | ||||
\(175\) | −254.217 | −1.45267 | ||||||||
\(176\) | 309.392i | 1.75791i | ||||||||
\(177\) | 6.13161 | − | 22.2127i | 0.0346419 | − | 0.125495i | ||||
\(178\) | 249.468 | 1.40151 | ||||||||
\(179\) | − | 196.729i | − | 1.09904i | −0.835479 | − | 0.549522i | \(-0.814810\pi\) | ||
0.835479 | − | 0.549522i | \(-0.185190\pi\) | |||||||
\(180\) | 0.159050 | − | 0.266138i | 0.000883609 | − | 0.00147855i | ||||
\(181\) | 14.7951 | 0.0817407 | 0.0408704 | − | 0.999164i | \(-0.486987\pi\) | ||||
0.0408704 | + | 0.999164i | \(0.486987\pi\) | |||||||
\(182\) | 359.703i | 1.97639i | ||||||||
\(183\) | 199.667 | + | 55.1164i | 1.09108 | + | 0.301182i | ||||
\(184\) | 33.7292 | 0.183311 | ||||||||
\(185\) | 2.53864i | 0.0137224i | ||||||||
\(186\) | −15.2829 | + | 55.3646i | −0.0821661 | + | 0.297659i | ||||
\(187\) | −252.985 | −1.35286 | ||||||||
\(188\) | 13.5880i | 0.0722766i | ||||||||
\(189\) | 189.770 | + | 198.549i | 1.00408 | + | 1.05052i | ||||
\(190\) | −2.92170 | −0.0153773 | ||||||||
\(191\) | − | 122.673i | − | 0.642268i | −0.947034 | − | 0.321134i | \(-0.895936\pi\) | ||
0.947034 | − | 0.321134i | \(-0.104064\pi\) | |||||||
\(192\) | 198.658 | + | 54.8376i | 1.03468 | + | 0.285613i | ||||
\(193\) | 201.864 | 1.04593 | 0.522963 | − | 0.852355i | \(-0.324827\pi\) | ||||
0.522963 | + | 0.852355i | \(0.324827\pi\) | |||||||
\(194\) | 129.826i | 0.669204i | ||||||||
\(195\) | 1.40850 | − | 5.10251i | 0.00722308 | − | 0.0261667i | ||||
\(196\) | 19.7183 | 0.100604 | ||||||||
\(197\) | 123.704i | 0.627938i | 0.949433 | + | 0.313969i | \(0.101659\pi\) | ||||
−0.949433 | + | 0.313969i | \(0.898341\pi\) | |||||||
\(198\) | 316.134 | + | 188.928i | 1.59664 | + | 0.954183i | ||||
\(199\) | −111.272 | −0.559158 | −0.279579 | − | 0.960123i | \(-0.590195\pi\) | ||||
−0.279579 | + | 0.960123i | \(0.590195\pi\) | |||||||
\(200\) | 207.921i | 1.03960i | ||||||||
\(201\) | −176.043 | − | 48.5952i | −0.875838 | − | 0.241767i | ||||
\(202\) | −252.922 | −1.25209 | ||||||||
\(203\) | 134.828i | 0.664176i | ||||||||
\(204\) | −3.40717 | + | 12.3430i | −0.0167018 | + | 0.0605048i | ||||
\(205\) | 4.02765 | 0.0196471 | ||||||||
\(206\) | − | 30.3241i | − | 0.147204i | ||||||
\(207\) | 18.7173 | − | 31.3198i | 0.0904219 | − | 0.151303i | ||||
\(208\) | 267.356 | 1.28536 | ||||||||
\(209\) | 345.296i | 1.65213i | ||||||||
\(210\) | 5.34010 | + | 1.47409i | 0.0254291 | + | 0.00701946i | ||||
\(211\) | −209.476 | −0.992777 | −0.496388 | − | 0.868101i | \(-0.665341\pi\) | ||||
−0.496388 | + | 0.868101i | \(0.665341\pi\) | |||||||
\(212\) | 26.3812i | 0.124440i | ||||||||
\(213\) | −40.1196 | + | 145.339i | −0.188355 | + | 0.682344i | ||||
\(214\) | 226.135 | 1.05671 | ||||||||
\(215\) | 5.24588i | 0.0243994i | ||||||||
\(216\) | 162.391 | − | 155.211i | 0.751810 | − | 0.718569i | ||||
\(217\) | 102.104 | 0.470527 | ||||||||
\(218\) | 135.743i | 0.622673i | ||||||||
\(219\) | −84.3569 | − | 23.2860i | −0.385191 | − | 0.106329i | ||||
\(220\) | −0.739075 | −0.00335943 | ||||||||
\(221\) | 218.612i | 0.989196i | ||||||||
\(222\) | −40.6129 | + | 147.126i | −0.182941 | + | 0.662732i | ||||
\(223\) | −98.8711 | −0.443368 | −0.221684 | − | 0.975119i | \(-0.571155\pi\) | ||||
−0.221684 | + | 0.975119i | \(0.571155\pi\) | |||||||
\(224\) | − | 58.7250i | − | 0.262165i | ||||||
\(225\) | 193.068 | + | 115.382i | 0.858082 | + | 0.512807i | ||||
\(226\) | −25.9783 | −0.114948 | ||||||||
\(227\) | − | 266.082i | − | 1.17217i | −0.810251 | − | 0.586083i | \(-0.800669\pi\) | ||
0.810251 | − | 0.586083i | \(-0.199331\pi\) | |||||||
\(228\) | 16.8468 | + | 4.65040i | 0.0738893 | + | 0.0203965i | ||||
\(229\) | 94.9380 | 0.414577 | 0.207288 | − | 0.978280i | \(-0.433536\pi\) | ||||
0.207288 | + | 0.978280i | \(0.433536\pi\) | |||||||
\(230\) | − | 0.735942i | − | 0.00319975i | ||||||
\(231\) | 174.212 | − | 631.111i | 0.754167 | − | 2.73208i | ||||
\(232\) | 110.274 | 0.475319 | ||||||||
\(233\) | − | 11.1408i | − | 0.0478147i | −0.999714 | − | 0.0239073i | \(-0.992389\pi\) | ||
0.999714 | − | 0.0239073i | \(-0.00761067\pi\) | |||||||
\(234\) | 163.259 | − | 273.182i | 0.697687 | − | 1.16744i | ||||
\(235\) | 3.57286 | 0.0152036 | ||||||||
\(236\) | 2.78026i | 0.0117808i | ||||||||
\(237\) | −173.155 | − | 47.7978i | −0.730611 | − | 0.201679i | ||||
\(238\) | −228.792 | −0.961310 | ||||||||
\(239\) | 102.629i | 0.429410i | 0.976679 | + | 0.214705i | \(0.0688791\pi\) | ||||
−0.976679 | + | 0.214705i | \(0.931121\pi\) | |||||||
\(240\) | 1.09564 | − | 3.96912i | 0.00456517 | − | 0.0165380i | ||||
\(241\) | 135.675 | 0.562968 | 0.281484 | − | 0.959566i | \(-0.409173\pi\) | ||||
0.281484 | + | 0.959566i | \(0.409173\pi\) | |||||||
\(242\) | − | 647.124i | − | 2.67407i | ||||||
\(243\) | −54.0082 | − | 236.922i | −0.222256 | − | 0.974988i | ||||
\(244\) | −24.9915 | −0.102424 | ||||||||
\(245\) | − | 5.18478i | − | 0.0211624i | ||||||
\(246\) | 233.422 | + | 64.4339i | 0.948869 | + | 0.261927i | ||||
\(247\) | 298.381 | 1.20802 | ||||||||
\(248\) | − | 83.5100i | − | 0.336734i | ||||||
\(249\) | −74.0267 | + | 268.173i | −0.297296 | + | 1.07700i | ||||
\(250\) | 9.07496 | 0.0362998 | ||||||||
\(251\) | 209.115i | 0.833129i | 0.909106 | + | 0.416564i | \(0.136766\pi\) | ||||
−0.909106 | + | 0.416564i | \(0.863234\pi\) | |||||||
\(252\) | −28.4452 | − | 16.9994i | −0.112878 | − | 0.0674581i | ||||
\(253\) | −86.9761 | −0.343779 | ||||||||
\(254\) | − | 229.774i | − | 0.904622i | ||||||
\(255\) | 3.24549 | + | 0.895887i | 0.0127274 | + | 0.00351328i | ||||
\(256\) | −68.9099 | −0.269179 | ||||||||
\(257\) | 280.472i | 1.09133i | 0.838003 | + | 0.545665i | \(0.183723\pi\) | ||||
−0.838003 | + | 0.545665i | \(0.816277\pi\) | |||||||
\(258\) | −83.9231 | + | 304.024i | −0.325283 | + | 1.17839i | ||||
\(259\) | 271.333 | 1.04762 | ||||||||
\(260\) | 0.638658i | 0.00245638i | ||||||||
\(261\) | 61.1944 | − | 102.397i | 0.234461 | − | 0.392325i | ||||
\(262\) | −401.193 | −1.53127 | ||||||||
\(263\) | 488.477i | 1.85733i | 0.370925 | + | 0.928663i | \(0.379041\pi\) | ||||
−0.370925 | + | 0.928663i | \(0.620959\pi\) | |||||||
\(264\) | −516.178 | − | 142.486i | −1.95522 | − | 0.539721i | ||||
\(265\) | 6.93673 | 0.0261763 | ||||||||
\(266\) | 312.275i | 1.17397i | ||||||||
\(267\) | −104.407 | + | 378.231i | −0.391038 | + | 1.41659i | ||||
\(268\) | 22.0346 | 0.0822185 | ||||||||
\(269\) | − | 289.117i | − | 1.07479i | −0.843332 | − | 0.537393i | \(-0.819409\pi\) | ||
0.843332 | − | 0.537393i | \(-0.180591\pi\) | |||||||
\(270\) | −3.38657 | − | 3.54323i | −0.0125429 | − | 0.0131231i | ||||
\(271\) | −173.151 | −0.638934 | −0.319467 | − | 0.947597i | \(-0.603504\pi\) | ||||
−0.319467 | + | 0.947597i | \(0.603504\pi\) | |||||||
\(272\) | 170.053i | 0.625196i | ||||||||
\(273\) | −545.363 | − | 150.543i | −1.99767 | − | 0.551438i | ||||
\(274\) | 436.413 | 1.59275 | ||||||||
\(275\) | − | 536.157i | − | 1.94966i | ||||||
\(276\) | −1.17138 | + | 4.24351i | −0.00424414 | + | 0.0153750i | ||||
\(277\) | −27.0948 | −0.0978152 | −0.0489076 | − | 0.998803i | \(-0.515574\pi\) | ||||
−0.0489076 | + | 0.998803i | \(0.515574\pi\) | |||||||
\(278\) | − | 448.937i | − | 1.61488i | ||||||
\(279\) | −77.5447 | − | 46.3422i | −0.277938 | − | 0.166101i | ||||
\(280\) | −8.05483 | −0.0287672 | ||||||||
\(281\) | − | 39.5691i | − | 0.140815i | −0.997518 | − | 0.0704076i | \(-0.977570\pi\) | ||
0.997518 | − | 0.0704076i | \(-0.0224300\pi\) | |||||||
\(282\) | 207.064 | + | 57.1582i | 0.734270 | + | 0.202689i | ||||
\(283\) | −25.8831 | −0.0914599 | −0.0457299 | − | 0.998954i | \(-0.514561\pi\) | ||||
−0.0457299 | + | 0.998954i | \(0.514561\pi\) | |||||||
\(284\) | − | 18.1915i | − | 0.0640544i | ||||||
\(285\) | 1.22278 | − | 4.42972i | 0.00429047 | − | 0.0155429i | ||||
\(286\) | −758.634 | −2.65257 | ||||||||
\(287\) | − | 430.481i | − | 1.49993i | ||||||
\(288\) | −26.6535 | + | 44.5995i | −0.0925470 | + | 0.154859i | ||||
\(289\) | 149.950 | 0.518859 | ||||||||
\(290\) | − | 2.40609i | − | 0.00829685i | ||||||
\(291\) | −196.835 | − | 54.3344i | −0.676407 | − | 0.186716i | ||||
\(292\) | 10.5586 | 0.0361595 | ||||||||
\(293\) | 344.114i | 1.17445i | 0.809424 | + | 0.587225i | \(0.199780\pi\) | ||||
−0.809424 | + | 0.587225i | \(0.800220\pi\) | |||||||
\(294\) | 82.9456 | − | 300.483i | 0.282128 | − | 1.02205i | ||||
\(295\) | 0.731047 | 0.00247813 | ||||||||
\(296\) | − | 221.920i | − | 0.749731i | ||||||
\(297\) | −418.751 | + | 400.236i | −1.40994 | + | 1.34760i | ||||
\(298\) | 99.8100 | 0.334933 | ||||||||
\(299\) | 75.1588i | 0.251367i | ||||||||
\(300\) | −26.1588 | − | 7.22089i | −0.0871959 | − | 0.0240696i | ||||
\(301\) | 560.687 | 1.86275 | ||||||||
\(302\) | 347.988i | 1.15228i | ||||||||
\(303\) | 105.852 | − | 383.466i | 0.349348 | − | 1.26557i | ||||
\(304\) | 232.103 | 0.763498 | ||||||||
\(305\) | 6.57130i | 0.0215453i | ||||||||
\(306\) | 173.759 | + | 103.842i | 0.567840 | + | 0.339353i | ||||
\(307\) | 398.833 | 1.29913 | 0.649565 | − | 0.760306i | \(-0.274951\pi\) | ||||
0.649565 | + | 0.760306i | \(0.274951\pi\) | |||||||
\(308\) | 78.9933i | 0.256472i | ||||||||
\(309\) | 45.9757 | + | 12.6912i | 0.148789 | + | 0.0410718i | ||||
\(310\) | −1.82212 | −0.00587780 | ||||||||
\(311\) | − | 369.284i | − | 1.18741i | −0.804684 | − | 0.593704i | \(-0.797665\pi\) | ||
0.804684 | − | 0.593704i | \(-0.202335\pi\) | |||||||
\(312\) | −123.127 | + | 446.046i | −0.394638 | + | 1.42964i | ||||
\(313\) | −132.228 | −0.422455 | −0.211228 | − | 0.977437i | \(-0.567746\pi\) | ||||
−0.211228 | + | 0.977437i | \(0.567746\pi\) | |||||||
\(314\) | − | 523.983i | − | 1.66874i | ||||||
\(315\) | −4.46986 | + | 7.47945i | −0.0141900 | + | 0.0237443i | ||||
\(316\) | 21.6730 | 0.0685854 | ||||||||
\(317\) | − | 321.344i | − | 1.01370i | −0.862033 | − | 0.506852i | \(-0.830809\pi\) | ||
0.862033 | − | 0.506852i | \(-0.169191\pi\) | |||||||
\(318\) | 402.017 | + | 110.973i | 1.26420 | + | 0.348972i | ||||
\(319\) | −284.359 | −0.891409 | ||||||||
\(320\) | 6.53807i | 0.0204315i | ||||||||
\(321\) | −94.6417 | + | 342.854i | −0.294834 | + | 1.06808i | ||||
\(322\) | −78.6585 | −0.244281 | ||||||||
\(323\) | 189.787i | 0.587577i | ||||||||
\(324\) | 13.8876 | + | 25.8209i | 0.0428630 | + | 0.0796942i | ||||
\(325\) | −463.310 | −1.42557 | ||||||||
\(326\) | 181.141i | 0.555647i | ||||||||
\(327\) | −205.806 | − | 56.8108i | −0.629376 | − | 0.173733i | ||||
\(328\) | −352.085 | −1.07343 | ||||||||
\(329\) | − | 381.872i | − | 1.16070i | ||||||
\(330\) | −3.10893 | + | 11.2626i | −0.00942100 | + | 0.0341290i | ||||
\(331\) | 2.24571 | 0.00678462 | 0.00339231 | − | 0.999994i | \(-0.498920\pi\) | ||||
0.00339231 | + | 0.999994i | \(0.498920\pi\) | |||||||
\(332\) | − | 33.5660i | − | 0.101102i | ||||||
\(333\) | −206.068 | − | 123.150i | −0.618823 | − | 0.369821i | ||||
\(334\) | 372.590 | 1.11554 | ||||||||
\(335\) | − | 5.79381i | − | 0.0172950i | ||||||
\(336\) | −424.225 | − | 117.103i | −1.26257 | − | 0.348522i | ||||
\(337\) | −336.616 | −0.998860 | −0.499430 | − | 0.866354i | \(-0.666457\pi\) | ||||
−0.499430 | + | 0.866354i | \(0.666457\pi\) | |||||||
\(338\) | 333.215i | 0.985844i | ||||||||
\(339\) | 10.8724 | − | 39.3869i | 0.0320720 | − | 0.116186i | ||||
\(340\) | −0.406223 | −0.00119477 | ||||||||
\(341\) | 215.344i | 0.631507i | ||||||||
\(342\) | 141.732 | − | 237.162i | 0.414422 | − | 0.693455i | ||||
\(343\) | −55.7111 | −0.162423 | ||||||||
\(344\) | − | 458.579i | − | 1.33308i | ||||||
\(345\) | 1.11580 | + | 0.308006i | 0.00323419 | + | 0.000892770i | ||||
\(346\) | 359.873 | 1.04009 | ||||||||
\(347\) | 84.3858i | 0.243187i | 0.992580 | + | 0.121593i | \(0.0388004\pi\) | ||||
−0.992580 | + | 0.121593i | \(0.961200\pi\) | |||||||
\(348\) | −3.82971 | + | 13.8737i | −0.0110049 | + | 0.0398670i | ||||
\(349\) | −300.424 | −0.860814 | −0.430407 | − | 0.902635i | \(-0.641630\pi\) | ||||
−0.430407 | + | 0.902635i | \(0.641630\pi\) | |||||||
\(350\) | − | 484.884i | − | 1.38538i | ||||||
\(351\) | 345.857 | + | 361.856i | 0.985347 | + | 1.03093i | ||||
\(352\) | 123.854 | 0.351858 | ||||||||
\(353\) | − | 541.944i | − | 1.53525i | −0.640898 | − | 0.767626i | \(-0.721438\pi\) | ||
0.640898 | − | 0.767626i | \(-0.278562\pi\) | |||||||
\(354\) | 42.3677 | + | 11.6952i | 0.119683 | + | 0.0330373i | ||||
\(355\) | −4.78330 | −0.0134741 | ||||||||
\(356\) | − | 47.3414i | − | 0.132981i | ||||||
\(357\) | 95.7536 | − | 346.882i | 0.268217 | − | 0.971658i | ||||
\(358\) | 375.234 | 1.04814 | ||||||||
\(359\) | 247.949i | 0.690666i | 0.938480 | + | 0.345333i | \(0.112234\pi\) | ||||
−0.938480 | + | 0.345333i | \(0.887766\pi\) | |||||||
\(360\) | 6.11735 | + | 3.65585i | 0.0169926 | + | 0.0101551i | ||||
\(361\) | −101.962 | −0.282443 | ||||||||
\(362\) | 28.2196i | 0.0779547i | ||||||||
\(363\) | 981.135 | + | 270.833i | 2.70285 | + | 0.746098i | ||||
\(364\) | 68.2606 | 0.187529 | ||||||||
\(365\) | − | 2.77629i | − | 0.00760628i | ||||||
\(366\) | −105.127 | + | 380.839i | −0.287232 | + | 1.04054i | ||||
\(367\) | 368.950 | 1.00531 | 0.502656 | − | 0.864486i | \(-0.332356\pi\) | ||||
0.502656 | + | 0.864486i | \(0.332356\pi\) | |||||||
\(368\) | 58.4643i | 0.158870i | ||||||||
\(369\) | −195.383 | + | 326.935i | −0.529492 | + | 0.886002i | ||||
\(370\) | −4.84211 | −0.0130868 | ||||||||
\(371\) | − | 741.407i | − | 1.99840i | ||||||
\(372\) | 10.5065 | + | 2.90022i | 0.0282433 | + | 0.00779630i | ||||
\(373\) | −16.6190 | −0.0445549 | −0.0222775 | − | 0.999752i | \(-0.507092\pi\) | ||||
−0.0222775 | + | 0.999752i | \(0.507092\pi\) | |||||||
\(374\) | − | 482.534i | − | 1.29020i | ||||||
\(375\) | −3.79804 | + | 13.7590i | −0.0101281 | + | 0.0366906i | ||||
\(376\) | −312.329 | −0.830661 | ||||||||
\(377\) | 245.724i | 0.651788i | ||||||||
\(378\) | −378.705 | + | 361.961i | −1.00187 | + | 0.957570i | ||||
\(379\) | 181.804 | 0.479694 | 0.239847 | − | 0.970811i | \(-0.422903\pi\) | ||||
0.239847 | + | 0.970811i | \(0.422903\pi\) | |||||||
\(380\) | 0.554448i | 0.00145907i | ||||||||
\(381\) | 348.371 | + | 96.1647i | 0.914360 | + | 0.252401i | ||||
\(382\) | 233.982 | 0.612520 | ||||||||
\(383\) | 254.866i | 0.665445i | 0.943025 | + | 0.332723i | \(0.107967\pi\) | ||||
−0.943025 | + | 0.332723i | \(0.892033\pi\) | |||||||
\(384\) | −86.1618 | + | 312.134i | −0.224380 | + | 0.812849i | ||||
\(385\) | 20.7707 | 0.0539497 | ||||||||
\(386\) | 385.028i | 0.997481i | ||||||||
\(387\) | −425.822 | − | 254.479i | −1.10031 | − | 0.657569i | ||||
\(388\) | 24.6369 | 0.0634971 | ||||||||
\(389\) | − | 613.478i | − | 1.57706i | −0.614993 | − | 0.788532i | \(-0.710841\pi\) | ||
0.614993 | − | 0.788532i | \(-0.289159\pi\) | |||||||
\(390\) | 9.73235 | + | 2.68653i | 0.0249547 | + | 0.00688853i | ||||
\(391\) | −47.8053 | −0.122264 | ||||||||
\(392\) | 453.238i | 1.15622i | ||||||||
\(393\) | 167.907 | − | 608.268i | 0.427244 | − | 1.54775i | ||||
\(394\) | −235.948 | −0.598854 | ||||||||
\(395\) | − | 5.69874i | − | 0.0144272i | ||||||
\(396\) | 35.8527 | − | 59.9926i | 0.0905372 | − | 0.151496i | ||||
\(397\) | 534.070 | 1.34526 | 0.672632 | − | 0.739977i | \(-0.265164\pi\) | ||||
0.672632 | + | 0.739977i | \(0.265164\pi\) | |||||||
\(398\) | − | 212.237i | − | 0.533259i | ||||||
\(399\) | −473.454 | − | 130.693i | −1.18660 | − | 0.327551i | ||||
\(400\) | −360.398 | −0.900995 | ||||||||
\(401\) | 674.374i | 1.68173i | 0.541245 | + | 0.840865i | \(0.317953\pi\) | ||||
−0.541245 | + | 0.840865i | \(0.682047\pi\) | |||||||
\(402\) | 92.6888 | − | 335.779i | 0.230569 | − | 0.835272i | ||||
\(403\) | 186.086 | 0.461751 | ||||||||
\(404\) | 47.9967i | 0.118804i | ||||||||
\(405\) | 6.78940 | − | 3.65163i | 0.0167640 | − | 0.00901637i | ||||
\(406\) | −257.166 | −0.633413 | ||||||||
\(407\) | 572.257i | 1.40604i | ||||||||
\(408\) | −283.711 | − | 78.3158i | −0.695369 | − | 0.191950i | ||||
\(409\) | 592.660 | 1.44905 | 0.724523 | − | 0.689251i | \(-0.242060\pi\) | ||||
0.724523 | + | 0.689251i | \(0.242060\pi\) | |||||||
\(410\) | 7.68220i | 0.0187371i | ||||||||
\(411\) | −182.647 | + | 661.667i | −0.444397 | + | 1.60989i | ||||
\(412\) | −5.75457 | −0.0139674 | ||||||||
\(413\) | − | 78.1353i | − | 0.189190i | ||||||
\(414\) | 59.7383 | + | 35.7008i | 0.144295 | + | 0.0862338i | ||||
\(415\) | −8.82590 | −0.0212672 | ||||||||
\(416\) | − | 107.026i | − | 0.257275i | ||||||
\(417\) | 680.654 | + | 187.888i | 1.63226 | + | 0.450571i | ||||
\(418\) | −658.605 | −1.57561 | ||||||||
\(419\) | − | 218.340i | − | 0.521098i | −0.965461 | − | 0.260549i | \(-0.916096\pi\) | ||
0.965461 | − | 0.260549i | \(-0.0839036\pi\) | |||||||
\(420\) | 0.279736 | − | 1.01339i | 0.000666039 | − | 0.00241283i | ||||
\(421\) | 262.667 | 0.623913 | 0.311957 | − | 0.950096i | \(-0.399016\pi\) | ||||
0.311957 | + | 0.950096i | \(0.399016\pi\) | |||||||
\(422\) | − | 399.547i | − | 0.946794i | ||||||
\(423\) | −173.320 | + | 290.018i | −0.409741 | + | 0.685622i | ||||
\(424\) | −606.388 | −1.43016 | ||||||||
\(425\) | − | 294.692i | − | 0.693392i | ||||||
\(426\) | −277.215 | − | 76.5227i | −0.650739 | − | 0.179631i | ||||
\(427\) | 702.350 | 1.64485 | ||||||||
\(428\) | − | 42.9134i | − | 0.100265i | ||||||
\(429\) | 317.503 | − | 1150.20i | 0.740099 | − | 2.68112i | ||||
\(430\) | −10.0058 | −0.0232693 | ||||||||
\(431\) | 139.875i | 0.324536i | 0.986747 | + | 0.162268i | \(0.0518809\pi\) | ||||
−0.986747 | + | 0.162268i | \(0.948119\pi\) | |||||||
\(432\) | 269.034 | + | 281.479i | 0.622764 | + | 0.651572i | ||||
\(433\) | −41.8624 | −0.0966799 | −0.0483399 | − | 0.998831i | \(-0.515393\pi\) | ||||
−0.0483399 | + | 0.998831i | \(0.515393\pi\) | |||||||
\(434\) | 194.750i | 0.448734i | ||||||||
\(435\) | 3.64798 | + | 1.00699i | 0.00838616 | + | 0.00231492i | ||||
\(436\) | 25.7598 | 0.0590821 | ||||||||
\(437\) | 65.2488i | 0.149311i | ||||||||
\(438\) | 44.4148 | − | 160.899i | 0.101404 | − | 0.367350i | ||||
\(439\) | −453.852 | −1.03383 | −0.516916 | − | 0.856036i | \(-0.672920\pi\) | ||||
−0.516916 | + | 0.856036i | \(0.672920\pi\) | |||||||
\(440\) | − | 16.9881i | − | 0.0386093i | ||||||
\(441\) | 420.862 | + | 251.515i | 0.954335 | + | 0.570330i | ||||
\(442\) | −416.973 | −0.943379 | ||||||||
\(443\) | 247.987i | 0.559789i | 0.960031 | + | 0.279895i | \(0.0902995\pi\) | ||||
−0.960031 | + | 0.279895i | \(0.909700\pi\) | |||||||
\(444\) | 27.9201 | + | 7.70708i | 0.0628830 | + | 0.0173583i | ||||
\(445\) | −12.4480 | −0.0279731 | ||||||||
\(446\) | − | 188.583i | − | 0.422832i | ||||||
\(447\) | −41.7723 | + | 151.327i | −0.0934504 | + | 0.338538i | ||||
\(448\) | 698.798 | 1.55982 | ||||||||
\(449\) | 682.664i | 1.52041i | 0.649683 | + | 0.760205i | \(0.274902\pi\) | ||||
−0.649683 | + | 0.760205i | \(0.725098\pi\) | |||||||
\(450\) | −220.075 | + | 368.252i | −0.489055 | + | 0.818338i | ||||
\(451\) | 907.908 | 2.01310 | ||||||||
\(452\) | 4.92988i | 0.0109068i | ||||||||
\(453\) | −527.601 | − | 145.639i | −1.16468 | − | 0.321500i | ||||
\(454\) | 507.515 | 1.11787 | ||||||||
\(455\) | − | 17.9486i | − | 0.0394474i | ||||||
\(456\) | −106.892 | + | 387.233i | −0.234413 | + | 0.849195i | ||||
\(457\) | −379.628 | −0.830696 | −0.415348 | − | 0.909662i | \(-0.636340\pi\) | ||||
−0.415348 | + | 0.909662i | \(0.636340\pi\) | |||||||
\(458\) | 181.081i | 0.395374i | ||||||||
\(459\) | −230.161 | + | 219.985i | −0.501440 | + | 0.479269i | ||||
\(460\) | −0.139659 | −0.000303607 | ||||||||
\(461\) | − | 419.873i | − | 0.910788i | −0.890290 | − | 0.455394i | \(-0.849498\pi\) | ||
0.890290 | − | 0.455394i | \(-0.150502\pi\) | |||||||
\(462\) | 1203.76 | + | 332.287i | 2.60554 | + | 0.719235i | ||||
\(463\) | −885.854 | −1.91329 | −0.956646 | − | 0.291253i | \(-0.905928\pi\) | ||||
−0.956646 | + | 0.291253i | \(0.905928\pi\) | |||||||
\(464\) | 191.143i | 0.411946i | ||||||||
\(465\) | 0.762590 | − | 2.76260i | 0.00163998 | − | 0.00594107i | ||||
\(466\) | 21.2496 | 0.0456000 | ||||||||
\(467\) | 393.302i | 0.842188i | 0.907017 | + | 0.421094i | \(0.138354\pi\) | ||||
−0.907017 | + | 0.421094i | \(0.861646\pi\) | |||||||
\(468\) | −51.8415 | − | 30.9815i | −0.110772 | − | 0.0661998i | ||||
\(469\) | −619.250 | −1.32036 | ||||||||
\(470\) | 6.81474i | 0.0144995i | ||||||||
\(471\) | 794.435 | + | 219.297i | 1.68670 | + | 0.465598i | ||||
\(472\) | −63.9060 | −0.135394 | ||||||||
\(473\) | 1182.52i | 2.50004i | ||||||||
\(474\) | 91.1679 | − | 330.269i | 0.192337 | − | 0.696771i | ||||
\(475\) | −402.221 | −0.846780 | ||||||||
\(476\) | 43.4176i | 0.0912135i | ||||||||
\(477\) | −336.503 | + | 563.072i | −0.705457 | + | 1.18044i | ||||
\(478\) | −195.751 | −0.409521 | ||||||||
\(479\) | − | 32.5927i | − | 0.0680432i | −0.999421 | − | 0.0340216i | \(-0.989168\pi\) | ||
0.999421 | − | 0.0340216i | \(-0.0108315\pi\) | |||||||
\(480\) | −1.58890 | − | 0.438601i | −0.00331020 | − | 0.000913751i | ||||
\(481\) | 494.506 | 1.02808 | ||||||||
\(482\) | 258.782i | 0.536892i | ||||||||
\(483\) | 32.9200 | − | 119.258i | 0.0681574 | − | 0.246911i | ||||
\(484\) | −122.804 | −0.253728 | ||||||||
\(485\) | − | 6.47807i | − | 0.0133568i | ||||||
\(486\) | 451.897 | − | 103.013i | 0.929829 | − | 0.211962i | ||||
\(487\) | 12.9619 | 0.0266157 | 0.0133079 | − | 0.999911i | \(-0.495764\pi\) | ||||
0.0133079 | + | 0.999911i | \(0.495764\pi\) | |||||||
\(488\) | − | 574.444i | − | 1.17714i | ||||||
\(489\) | −274.636 | − | 75.8109i | −0.561629 | − | 0.155033i | ||||
\(490\) | 9.88927 | 0.0201822 | ||||||||
\(491\) | 70.7457i | 0.144085i | 0.997402 | + | 0.0720425i | \(0.0229517\pi\) | ||||
−0.997402 | + | 0.0720425i | \(0.977048\pi\) | |||||||
\(492\) | 12.2276 | − | 44.2963i | 0.0248528 | − | 0.0900330i | ||||
\(493\) | −156.294 | −0.317027 | ||||||||
\(494\) | 569.121i | 1.15207i | ||||||||
\(495\) | −15.7746 | − | 9.42719i | −0.0318678 | − | 0.0190448i | ||||
\(496\) | 144.752 | 0.291838 | ||||||||
\(497\) | 511.245i | 1.02866i | ||||||||
\(498\) | −511.504 | − | 141.196i | −1.02712 | − | 0.283526i | ||||
\(499\) | −497.143 | −0.996279 | −0.498140 | − | 0.867097i | \(-0.665983\pi\) | ||||
−0.498140 | + | 0.867097i | \(0.665983\pi\) | |||||||
\(500\) | − | 1.72215i | − | 0.00344429i | ||||||
\(501\) | −155.936 | + | 564.901i | −0.311249 | + | 1.12755i | ||||
\(502\) | −398.859 | −0.794540 | ||||||||
\(503\) | − | 302.588i | − | 0.601567i | −0.953692 | − | 0.300783i | \(-0.902752\pi\) | ||
0.953692 | − | 0.300783i | \(-0.0972481\pi\) | |||||||
\(504\) | 390.742 | − | 653.831i | 0.775282 | − | 1.29728i | ||||
\(505\) | 12.6204 | 0.0249908 | ||||||||
\(506\) | − | 165.895i | − | 0.327856i | ||||||
\(507\) | −505.203 | − | 139.457i | −0.996457 | − | 0.275063i | ||||
\(508\) | −43.6040 | −0.0858347 | ||||||||
\(509\) | − | 44.8634i | − | 0.0881402i | −0.999028 | − | 0.0440701i | \(-0.985968\pi\) | ||
0.999028 | − | 0.0440701i | \(-0.0140325\pi\) | |||||||
\(510\) | −1.70878 | + | 6.19033i | −0.00335056 | + | 0.0121379i | ||||
\(511\) | −296.734 | −0.580692 | ||||||||
\(512\) | − | 563.180i | − | 1.09996i | ||||||
\(513\) | 300.254 | + | 314.144i | 0.585291 | + | 0.612366i | ||||
\(514\) | −534.963 | −1.04078 | ||||||||
\(515\) | 1.51312i | 0.00293809i | ||||||||
\(516\) | 57.6944 | + | 15.9260i | 0.111811 | + | 0.0308644i | ||||
\(517\) | 805.389 | 1.55781 | ||||||||
\(518\) | 517.532i | 0.999096i | ||||||||
\(519\) | −150.613 | + | 545.620i | −0.290199 | + | 1.05129i | ||||
\(520\) | −14.6799 | −0.0282306 | ||||||||
\(521\) | − | 57.9774i | − | 0.111281i | −0.998451 | − | 0.0556405i | \(-0.982280\pi\) | ||
0.998451 | − | 0.0556405i | \(-0.0177201\pi\) | |||||||
\(522\) | 195.308 | + | 116.720i | 0.374154 | + | 0.223602i | ||||
\(523\) | −681.136 | −1.30236 | −0.651182 | − | 0.758922i | \(-0.725726\pi\) | ||||
−0.651182 | + | 0.758922i | \(0.725726\pi\) | |||||||
\(524\) | 76.1341i | 0.145294i | ||||||||
\(525\) | 735.155 | + | 202.933i | 1.40030 | + | 0.386539i | ||||
\(526\) | −931.703 | −1.77130 | ||||||||
\(527\) | 118.361i | 0.224594i | ||||||||
\(528\) | 246.978 | − | 894.714i | 0.467761 | − | 1.69453i | ||||
\(529\) | 512.565 | 0.968931 | ||||||||
\(530\) | 13.2309i | 0.0249639i | ||||||||
\(531\) | −35.4633 | + | 59.3410i | −0.0667859 | + | 0.111753i | ||||
\(532\) | 59.2601 | 0.111391 | ||||||||
\(533\) | − | 784.552i | − | 1.47196i | ||||||
\(534\) | −721.424 | − | 199.142i | −1.35098 | − | 0.372926i | ||||
\(535\) | −11.2837 | −0.0210911 | ||||||||
\(536\) | 506.478i | 0.944921i | ||||||||
\(537\) | −157.042 | + | 568.910i | −0.292444 | + | 1.05942i | ||||
\(538\) | 551.452 | 1.02500 | ||||||||
\(539\) | − | 1168.75i | − | 2.16836i | ||||||
\(540\) | −0.672396 | + | 0.642667i | −0.00124518 | + | 0.00119012i | ||||
\(541\) | −449.122 | −0.830170 | −0.415085 | − | 0.909783i | \(-0.636248\pi\) | ||||
−0.415085 | + | 0.909783i | \(0.636248\pi\) | |||||||
\(542\) | − | 330.263i | − | 0.609340i | ||||||
\(543\) | −42.7851 | − | 11.8104i | −0.0787939 | − | 0.0217503i | ||||
\(544\) | 68.0748 | 0.125138 | ||||||||
\(545\) | − | 6.77333i | − | 0.0124281i | ||||||
\(546\) | 287.140 | − | 1040.21i | 0.525897 | − | 1.90514i | ||||
\(547\) | −161.571 | −0.295377 | −0.147689 | − | 0.989034i | \(-0.547183\pi\) | ||||
−0.147689 | + | 0.989034i | \(0.547183\pi\) | |||||||
\(548\) | − | 82.8178i | − | 0.151127i | ||||||
\(549\) | −533.410 | − | 318.776i | −0.971602 | − | 0.580649i | ||||
\(550\) | 1022.65 | 1.85936 | ||||||||
\(551\) | 213.324i | 0.387158i | ||||||||
\(552\) | −97.5396 | − | 26.9249i | −0.176702 | − | 0.0487770i | ||||
\(553\) | −609.089 | −1.10143 | ||||||||
\(554\) | − | 51.6797i | − | 0.0932846i | ||||||
\(555\) | 2.02651 | − | 7.34136i | 0.00365138 | − | 0.0132277i | ||||
\(556\) | −85.1943 | −0.153227 | ||||||||
\(557\) | − | 1097.79i | − | 1.97090i | −0.169975 | − | 0.985448i | \(-0.554369\pi\) | ||
0.169975 | − | 0.985448i | \(-0.445631\pi\) | |||||||
\(558\) | 88.3915 | − | 147.906i | 0.158408 | − | 0.265065i | ||||
\(559\) | 1021.85 | 1.82800 | ||||||||
\(560\) | − | 13.9618i | − | 0.0249317i | ||||||
\(561\) | 731.593 | + | 201.950i | 1.30409 | + | 0.359982i | ||||
\(562\) | 75.4727 | 0.134293 | ||||||||
\(563\) | − | 310.918i | − | 0.552252i | −0.961121 | − | 0.276126i | \(-0.910949\pi\) | ||
0.961121 | − | 0.276126i | \(-0.0890507\pi\) | |||||||
\(564\) | 10.8469 | − | 39.2944i | 0.0192320 | − | 0.0696710i | ||||
\(565\) | 1.29627 | 0.00229429 | ||||||||
\(566\) | − | 49.3686i | − | 0.0872237i | ||||||
\(567\) | −390.291 | − | 725.661i | −0.688344 | − | 1.27982i | ||||
\(568\) | 418.142 | 0.736165 | ||||||||
\(569\) | − | 465.717i | − | 0.818484i | −0.912426 | − | 0.409242i | \(-0.865793\pi\) | ||
0.912426 | − | 0.409242i | \(-0.134207\pi\) | |||||||
\(570\) | 8.44909 | + | 2.33230i | 0.0148230 | + | 0.00409175i | ||||
\(571\) | 208.273 | 0.364752 | 0.182376 | − | 0.983229i | \(-0.441621\pi\) | ||||
0.182376 | + | 0.983229i | \(0.441621\pi\) | |||||||
\(572\) | 143.965i | 0.251688i | ||||||||
\(573\) | −97.9260 | + | 354.752i | −0.170901 | + | 0.619113i | ||||
\(574\) | 821.084 | 1.43046 | ||||||||
\(575\) | − | 101.315i | − | 0.176200i | ||||||
\(576\) | −530.712 | − | 317.164i | −0.921375 | − | 0.550632i | ||||
\(577\) | −893.615 | −1.54873 | −0.774363 | − | 0.632742i | \(-0.781929\pi\) | ||||
−0.774363 | + | 0.632742i | \(0.781929\pi\) | |||||||
\(578\) | 286.010i | 0.494826i | ||||||||
\(579\) | −583.759 | − | 161.141i | −1.00822 | − | 0.278310i | ||||
\(580\) | −0.456601 | −0.000787243 | ||||||||
\(581\) | 943.325i | 1.62362i | ||||||||
\(582\) | 103.636 | − | 375.435i | 0.178068 | − | 0.645078i | ||||
\(583\) | 1563.67 | 2.68211 | ||||||||
\(584\) | 242.695i | 0.415574i | ||||||||
\(585\) | −8.14634 | + | 13.6313i | −0.0139254 | + | 0.0233014i | ||||
\(586\) | −656.350 | −1.12005 | ||||||||
\(587\) | − | 625.531i | − | 1.06564i | −0.846228 | − | 0.532821i | \(-0.821132\pi\) | ||
0.846228 | − | 0.532821i | \(-0.178868\pi\) | |||||||
\(588\) | −57.0224 | − | 15.7405i | −0.0969769 | − | 0.0267696i | ||||
\(589\) | 161.549 | 0.274277 | ||||||||
\(590\) | 1.39437i | 0.00236335i | ||||||||
\(591\) | 98.7488 | − | 357.732i | 0.167088 | − | 0.605300i | ||||
\(592\) | 384.664 | 0.649770 | ||||||||
\(593\) | − | 361.671i | − | 0.609901i | −0.952368 | − | 0.304951i | \(-0.901360\pi\) | ||
0.952368 | − | 0.304951i | \(-0.0986400\pi\) | |||||||
\(594\) | −763.397 | − | 798.711i | −1.28518 | − | 1.34463i | ||||
\(595\) | 11.4163 | 0.0191871 | ||||||||
\(596\) | − | 18.9409i | − | 0.0317800i | ||||||
\(597\) | 321.783 | + | 88.8252i | 0.538999 | + | 0.148786i | ||||
\(598\) | −143.355 | −0.239725 | ||||||||
\(599\) | 824.494i | 1.37645i | 0.725497 | + | 0.688225i | \(0.241610\pi\) | ||||
−0.725497 | + | 0.688225i | \(0.758390\pi\) | |||||||
\(600\) | 165.976 | − | 601.275i | 0.276627 | − | 1.00212i | ||||
\(601\) | 98.4169 | 0.163755 | 0.0818776 | − | 0.996642i | \(-0.473908\pi\) | ||||
0.0818776 | + | 0.996642i | \(0.473908\pi\) | |||||||
\(602\) | 1069.43i | 1.77647i | ||||||||
\(603\) | 470.299 | + | 281.060i | 0.779931 | + | 0.466102i | ||||
\(604\) | 66.0374 | 0.109333 | ||||||||
\(605\) | 32.2904i | 0.0533725i | ||||||||
\(606\) | 731.410 | + | 201.899i | 1.20695 | + | 0.333167i | ||||
\(607\) | −310.874 | −0.512149 | −0.256074 | − | 0.966657i | \(-0.582429\pi\) | ||||
−0.256074 | + | 0.966657i | \(0.582429\pi\) | |||||||
\(608\) | − | 92.9144i | − | 0.152820i | ||||||
\(609\) | 107.629 | − | 389.901i | 0.176730 | − | 0.640232i | ||||
\(610\) | −12.5339 | −0.0205473 | ||||||||
\(611\) | − | 695.962i | − | 1.13905i | ||||||
\(612\) | 19.7060 | − | 32.9741i | 0.0321993 | − | 0.0538793i | ||||
\(613\) | −925.306 | −1.50947 | −0.754735 | − | 0.656029i | \(-0.772235\pi\) | ||||
−0.754735 | + | 0.656029i | \(0.772235\pi\) | |||||||
\(614\) | 760.719i | 1.23896i | ||||||||
\(615\) | −11.6473 | − | 3.21514i | −0.0189388 | − | 0.00522788i | ||||
\(616\) | −1815.71 | −2.94758 | ||||||||
\(617\) | 88.8400i | 0.143987i | 0.997405 | + | 0.0719935i | \(0.0229361\pi\) | ||||
−0.997405 | + | 0.0719935i | \(0.977064\pi\) | |||||||
\(618\) | −24.2067 | + | 87.6925i | −0.0391694 | + | 0.141897i | ||||
\(619\) | −572.406 | −0.924727 | −0.462364 | − | 0.886690i | \(-0.652999\pi\) | ||||
−0.462364 | + | 0.886690i | \(0.652999\pi\) | |||||||
\(620\) | 0.345782i | 0.000557713i | ||||||||
\(621\) | −79.1293 | + | 75.6306i | −0.127422 | + | 0.121788i | ||||
\(622\) | 704.359 | 1.13241 | ||||||||
\(623\) | 1330.46i | 2.13557i | ||||||||
\(624\) | −773.151 | − | 213.421i | −1.23902 | − | 0.342021i | ||||
\(625\) | 624.321 | 0.998913 | ||||||||
\(626\) | − | 252.208i | − | 0.402888i | ||||||
\(627\) | 275.638 | − | 998.542i | 0.439615 | − | 1.59257i | ||||
\(628\) | −99.4359 | −0.158337 | ||||||||
\(629\) | 314.534i | 0.500053i | ||||||||
\(630\) | −14.2660 | − | 8.52566i | −0.0226445 | − | 0.0135328i | ||||
\(631\) | 688.994 | 1.09191 | 0.545954 | − | 0.837815i | \(-0.316167\pi\) | ||||
0.545954 | + | 0.837815i | \(0.316167\pi\) | |||||||
\(632\) | 498.167i | 0.788239i | ||||||||
\(633\) | 605.772 | + | 167.218i | 0.956985 | + | 0.264167i | ||||
\(634\) | 612.921 | 0.966752 | ||||||||
\(635\) | 11.4653i | 0.0180556i | ||||||||
\(636\) | 21.0593 | − | 76.2904i | 0.0331121 | − | 0.119953i | ||||
\(637\) | −1009.95 | −1.58548 | ||||||||
\(638\) | − | 542.377i | − | 0.850121i | ||||||
\(639\) | 232.039 | − | 388.272i | 0.363129 | − | 0.607625i | ||||
\(640\) | −10.2727 | −0.0160511 | ||||||||
\(641\) | − | 607.078i | − | 0.947080i | −0.880772 | − | 0.473540i | \(-0.842976\pi\) | ||
0.880772 | − | 0.473540i | \(-0.157024\pi\) | |||||||
\(642\) | −653.947 | − | 180.516i | −1.01861 | − | 0.281178i | ||||
\(643\) | 545.922 | 0.849024 | 0.424512 | − | 0.905422i | \(-0.360446\pi\) | ||||
0.424512 | + | 0.905422i | \(0.360446\pi\) | |||||||
\(644\) | 14.9270i | 0.0231785i | ||||||||
\(645\) | 4.18762 | − | 15.1703i | 0.00649243 | − | 0.0235198i | ||||
\(646\) | −361.994 | −0.560362 | ||||||||
\(647\) | 595.240i | 0.920000i | 0.887919 | + | 0.460000i | \(0.152151\pi\) | ||||
−0.887919 | + | 0.460000i | \(0.847849\pi\) | |||||||
\(648\) | −593.509 | + | 319.215i | −0.915910 | + | 0.492615i | ||||
\(649\) | 164.792 | 0.253916 | ||||||||
\(650\) | − | 883.702i | − | 1.35954i | ||||||
\(651\) | −295.270 | − | 81.5067i | −0.453564 | − | 0.125202i | ||||
\(652\) | 34.3750 | 0.0527224 | ||||||||
\(653\) | 572.686i | 0.877008i | 0.898729 | + | 0.438504i | \(0.144492\pi\) | ||||
−0.898729 | + | 0.438504i | \(0.855508\pi\) | |||||||
\(654\) | 108.359 | − | 392.547i | 0.165687 | − | 0.600224i | ||||
\(655\) | 20.0188 | 0.0305631 | ||||||||
\(656\) | − | 610.284i | − | 0.930312i | ||||||
\(657\) | 225.359 | + | 134.679i | 0.343012 | + | 0.204991i | ||||
\(658\) | 728.369 | 1.10694 | ||||||||
\(659\) | 601.131i | 0.912187i | 0.889932 | + | 0.456094i | \(0.150752\pi\) | ||||
−0.889932 | + | 0.456094i | \(0.849248\pi\) | |||||||
\(660\) | 2.13729 | + | 0.589979i | 0.00323832 | + | 0.000893908i | ||||
\(661\) | 1210.51 | 1.83132 | 0.915662 | − | 0.401949i | \(-0.131667\pi\) | ||||
0.915662 | + | 0.401949i | \(0.131667\pi\) | |||||||
\(662\) | 4.28339i | 0.00647037i | ||||||||
\(663\) | 174.511 | − | 632.193i | 0.263214 | − | 0.953534i | ||||
\(664\) | 771.534 | 1.16195 | ||||||||
\(665\) | − | 15.5820i | − | 0.0234315i | ||||||
\(666\) | 234.892 | − | 393.047i | 0.352691 | − | 0.590160i | ||||
\(667\) | −53.7339 | −0.0805606 | ||||||||
\(668\) | − | 70.7061i | − | 0.105847i | ||||||
\(669\) | 285.920 | + | 78.9256i | 0.427384 | + | 0.117975i | ||||
\(670\) | 11.0509 | 0.0164939 | ||||||||
\(671\) | 1481.29i | 2.20759i | ||||||||
\(672\) | −46.8782 | + | 169.823i | −0.0697593 | + | 0.252713i | ||||
\(673\) | −1136.89 | −1.68928 | −0.844641 | − | 0.535334i | \(-0.820186\pi\) | ||||
−0.844641 | + | 0.535334i | \(0.820186\pi\) | |||||||
\(674\) | − | 642.049i | − | 0.952596i | ||||||
\(675\) | −466.219 | − | 487.786i | −0.690694 | − | 0.722646i | ||||
\(676\) | 63.2340 | 0.0935415 | ||||||||
\(677\) | − | 250.404i | − | 0.369872i | −0.982751 | − | 0.184936i | \(-0.940792\pi\) | ||
0.982751 | − | 0.184936i | \(-0.0592078\pi\) | |||||||
\(678\) | 75.1252 | + | 20.7376i | 0.110804 | + | 0.0305865i | ||||
\(679\) | −692.385 | −1.01971 | ||||||||
\(680\) | − | 9.33727i | − | 0.0137313i | ||||||
\(681\) | −212.405 | + | 769.467i | −0.311901 | + | 1.12991i | ||||
\(682\) | −410.740 | −0.602257 | ||||||||
\(683\) | 375.307i | 0.549497i | 0.961516 | + | 0.274749i | \(0.0885946\pi\) | ||||
−0.961516 | + | 0.274749i | \(0.911405\pi\) | |||||||
\(684\) | −45.0060 | − | 26.8964i | −0.0657982 | − | 0.0393223i | ||||
\(685\) | −21.7763 | −0.0317902 | ||||||||
\(686\) | − | 106.261i | − | 0.154900i | ||||||
\(687\) | −274.546 | − | 75.7860i | −0.399630 | − | 0.110314i | ||||
\(688\) | 794.875 | 1.15534 | ||||||||
\(689\) | − | 1351.22i | − | 1.96113i | ||||||
\(690\) | −0.587479 | + | 2.12823i | −0.000851419 | + | 0.00308439i | ||||
\(691\) | −897.005 | −1.29813 | −0.649063 | − | 0.760734i | \(-0.724839\pi\) | ||||
−0.649063 | + | 0.760734i | \(0.724839\pi\) | |||||||
\(692\) | − | 68.2928i | − | 0.0986890i | ||||||
\(693\) | −1007.59 | + | 1686.01i | −1.45396 | + | 2.43291i | ||||
\(694\) | −160.954 | −0.231923 | ||||||||
\(695\) | 22.4012i | 0.0322319i | ||||||||
\(696\) | −318.896 | − | 88.0282i | −0.458183 | − | 0.126477i | ||||
\(697\) | 499.020 | 0.715954 | ||||||||
\(698\) | − | 573.019i | − | 0.820943i | ||||||
\(699\) | −8.89336 | + | 32.2175i | −0.0127230 | + | 0.0460909i | ||||
\(700\) | −92.0160 | −0.131451 | ||||||||
\(701\) | − | 27.9883i | − | 0.0399263i | −0.999801 | − | 0.0199631i | \(-0.993645\pi\) | ||
0.999801 | − | 0.0199631i | \(-0.00635489\pi\) | |||||||
\(702\) | −690.192 | + | 659.675i | −0.983179 | + | 0.939709i | ||||
\(703\) | 429.303 | 0.610672 | ||||||||
\(704\) | 1473.80i | 2.09347i | ||||||||
\(705\) | −10.3322 | − | 2.85210i | −0.0146555 | − | 0.00404553i | ||||
\(706\) | 1033.69 | 1.46414 | ||||||||
\(707\) | − | 1348.88i | − | 1.90789i | ||||||
\(708\) | 2.21939 | − | 8.04008i | 0.00313473 | − | 0.0113561i | ||||
\(709\) | −193.636 | −0.273112 | −0.136556 | − | 0.990632i | \(-0.543603\pi\) | ||||
−0.136556 | + | 0.990632i | \(0.543603\pi\) | |||||||
\(710\) | − | 9.12349i | − | 0.0128500i | ||||||
\(711\) | 462.581 | + | 276.448i | 0.650607 | + | 0.388815i | ||||
\(712\) | 1088.17 | 1.52833 | ||||||||
\(713\) | 40.6925i | 0.0570722i | ||||||||
\(714\) | 661.630 | + | 182.637i | 0.926653 | + | 0.255794i | ||||
\(715\) | 37.8546 | 0.0529434 | ||||||||
\(716\) | − | 71.2079i | − | 0.0994523i | ||||||
\(717\) | 81.9255 | − | 296.787i | 0.114261 | − | 0.413929i | ||||
\(718\) | −472.929 | −0.658676 | ||||||||
\(719\) | 40.3715i | 0.0561495i | 0.999606 | + | 0.0280748i | \(0.00893765\pi\) | ||||
−0.999606 | + | 0.0280748i | \(0.991062\pi\) | |||||||
\(720\) | −6.33684 | + | 10.6035i | −0.00880117 | + | 0.0147270i | ||||
\(721\) | 161.724 | 0.224305 | ||||||||
\(722\) | − | 194.479i | − | 0.269361i | ||||||
\(723\) | −392.352 | − | 108.305i | −0.542672 | − | 0.149800i | ||||
\(724\) | 5.35521 | 0.00739670 | ||||||||
\(725\) | − | 331.238i | − | 0.456881i | ||||||
\(726\) | −516.578 | + | 1871.38i | −0.711540 | + | 2.57766i | ||||
\(727\) | 155.577 | 0.213998 | 0.106999 | − | 0.994259i | \(-0.465876\pi\) | ||||
0.106999 | + | 0.994259i | \(0.465876\pi\) | |||||||
\(728\) | 1569.01i | 2.15524i | ||||||||
\(729\) | −32.9439 | + | 728.255i | −0.0451905 | + | 0.998978i | ||||
\(730\) | 5.29540 | 0.00725397 | ||||||||
\(731\) | 649.956i | 0.889133i | ||||||||
\(732\) | 72.2714 | + | 19.9499i | 0.0987315 | + | 0.0272539i | ||||
\(733\) | −314.245 | −0.428711 | −0.214356 | − | 0.976756i | \(-0.568765\pi\) | ||||
−0.214356 | + | 0.976756i | \(0.568765\pi\) | |||||||
\(734\) | 703.722i | 0.958749i | ||||||||
\(735\) | −4.13884 | + | 14.9936i | −0.00563108 | + | 0.0203994i | ||||
\(736\) | 23.4041 | 0.0317990 | ||||||||
\(737\) | − | 1306.03i | − | 1.77209i | ||||||
\(738\) | −623.584 | − | 372.666i | −0.844965 | − | 0.504967i | ||||
\(739\) | −388.040 | −0.525088 | −0.262544 | − | 0.964920i | \(-0.584562\pi\) | ||||
−0.262544 | + | 0.964920i | \(0.584562\pi\) | |||||||
\(740\) | 0.918884i | 0.00124174i | ||||||||
\(741\) | −862.872 | − | 238.188i | −1.16447 | − | 0.321441i | ||||
\(742\) | 1414.13 | 1.90584 | ||||||||
\(743\) | 972.982i | 1.30953i | 0.755832 | + | 0.654766i | \(0.227233\pi\) | ||||
−0.755832 | + | 0.654766i | \(0.772767\pi\) | |||||||
\(744\) | −66.6634 | + | 241.498i | −0.0896013 | + | 0.324594i | ||||
\(745\) | −4.98035 | −0.00668503 | ||||||||
\(746\) | − | 31.6985i | − | 0.0424913i | ||||||
\(747\) | 428.147 | − | 716.421i | 0.573156 | − | 0.959065i | ||||
\(748\) | −91.5702 | −0.122420 | ||||||||
\(749\) | 1206.02i | 1.61018i | ||||||||
\(750\) | −26.2434 | − | 7.24424i | −0.0349912 | − | 0.00965899i | ||||
\(751\) | −1188.98 | −1.58319 | −0.791596 | − | 0.611044i | \(-0.790750\pi\) | ||||
−0.791596 | + | 0.611044i | \(0.790750\pi\) | |||||||
\(752\) | − | 541.372i | − | 0.719910i | ||||||
\(753\) | 166.930 | − | 604.729i | 0.221687 | − | 0.803093i | ||||
\(754\) | −468.685 | −0.621598 | ||||||||
\(755\) | − | 17.3640i | − | 0.0229987i | ||||||
\(756\) | 68.6891 | + | 71.8666i | 0.0908586 | + | 0.0950617i | ||||
\(757\) | 378.178 | 0.499575 | 0.249787 | − | 0.968301i | \(-0.419639\pi\) | ||||
0.249787 | + | 0.968301i | \(0.419639\pi\) | |||||||
\(758\) | 346.767i | 0.457476i | ||||||||
\(759\) | 251.521 | + | 69.4302i | 0.331385 | + | 0.0914759i | ||||
\(760\) | −12.7443 | −0.0167688 | ||||||||
\(761\) | 584.274i | 0.767771i | 0.923381 | + | 0.383886i | \(0.125414\pi\) | ||||
−0.923381 | + | 0.383886i | \(0.874586\pi\) | |||||||
\(762\) | −183.421 | + | 664.471i | −0.240710 | + | 0.872009i | ||||
\(763\) | −723.942 | −0.948810 | ||||||||
\(764\) | − | 44.4027i | − | 0.0581187i | ||||||
\(765\) | −8.67028 | − | 5.18153i | −0.0113337 | − | 0.00677324i | ||||
\(766\) | −486.122 | −0.634623 | ||||||||
\(767\) | − | 142.402i | − | 0.185661i | ||||||
\(768\) | 199.277 | + | 55.0086i | 0.259475 | + | 0.0716257i | ||||
\(769\) | −827.160 | −1.07563 | −0.537815 | − | 0.843063i | \(-0.680750\pi\) | ||||
−0.537815 | + | 0.843063i | \(0.680750\pi\) | |||||||
\(770\) | 39.6172i | 0.0514509i | ||||||||
\(771\) | 223.892 | − | 811.082i | 0.290391 | − | 1.05199i | ||||
\(772\) | 73.0664 | 0.0946456 | ||||||||
\(773\) | − | 39.7974i | − | 0.0514843i | −0.999669 | − | 0.0257422i | \(-0.991805\pi\) | ||
0.999669 | − | 0.0257422i | \(-0.00819489\pi\) | |||||||
\(774\) | 485.385 | − | 812.197i | 0.627112 | − | 1.04935i | ||||
\(775\) | −250.845 | −0.323671 | ||||||||
\(776\) | 566.294i | 0.729760i | ||||||||
\(777\) | −784.654 | − | 216.597i | −1.00985 | − | 0.278760i | ||||
\(778\) | 1170.13 | 1.50402 | ||||||||
\(779\) | − | 681.105i | − | 0.874333i | ||||||
\(780\) | 0.509820 | − | 1.84690i | 0.000653615 | − | 0.00236782i | ||||
\(781\) | −1078.24 | −1.38059 | ||||||||
\(782\) | − | 91.1821i | − | 0.116601i | ||||||
\(783\) | −258.705 | + | 247.266i | −0.330402 | + | 0.315794i | ||||
\(784\) | −785.617 | −1.00206 | ||||||||
\(785\) | 26.1459i | 0.0333068i | ||||||||
\(786\) | 1160.19 | + | 320.259i | 1.47607 | + | 0.407455i | ||||
\(787\) | −141.976 | −0.180402 | −0.0902008 | − | 0.995924i | \(-0.528751\pi\) | ||||
−0.0902008 | + | 0.995924i | \(0.528751\pi\) | |||||||
\(788\) | 44.7757i | 0.0568220i | ||||||||
\(789\) | 389.935 | − | 1412.60i | 0.494214 | − | 1.79037i | ||||
\(790\) | 10.8696 | 0.0137590 | ||||||||
\(791\) | − | 138.547i | − | 0.175155i | ||||||
\(792\) | 1378.97 | + | 824.097i | 1.74112 | + | 1.04053i | ||||
\(793\) | 1280.03 | 1.61417 | ||||||||
\(794\) | 1018.67i | 1.28295i | ||||||||
\(795\) | −20.0599 | − | 5.53737i | −0.0252326 | − | 0.00696524i | ||||
\(796\) | −40.2761 | −0.0505981 | ||||||||
\(797\) | − | 1014.85i | − | 1.27333i | −0.771138 | − | 0.636667i | \(-0.780312\pi\) | ||
0.771138 | − | 0.636667i | \(-0.219688\pi\) | |||||||
\(798\) | 249.279 | − | 903.050i | 0.312380 | − | 1.13164i | ||||
\(799\) | 442.671 | 0.554032 | ||||||||
\(800\) | 144.273i | 0.180341i | ||||||||
\(801\) | 603.858 | − | 1010.44i | 0.753881 | − | 1.26147i | ||||
\(802\) | −1286.28 | −1.60384 | ||||||||
\(803\) | − | 625.828i | − | 0.779362i | ||||||
\(804\) | −63.7205 | − | 17.5895i | −0.0792544 | − | 0.0218775i | ||||
\(805\) | 3.92492 | 0.00487568 | ||||||||
\(806\) | 354.933i | 0.440364i | ||||||||
\(807\) | −230.793 | + | 836.083i | −0.285989 | + | 1.03604i | ||||
\(808\) | −1103.23 | −1.36539 | ||||||||
\(809\) | − | 241.557i | − | 0.298588i | −0.988793 | − | 0.149294i | \(-0.952300\pi\) | ||
0.988793 | − | 0.149294i | \(-0.0477000\pi\) | |||||||
\(810\) | 6.96499 | + | 12.9499i | 0.00859876 | + | 0.0159875i | ||||
\(811\) | −811.821 | −1.00101 | −0.500506 | − | 0.865733i | \(-0.666853\pi\) | ||||
−0.500506 | + | 0.865733i | \(0.666853\pi\) | |||||||
\(812\) | 48.8021i | 0.0601012i | ||||||||
\(813\) | 500.726 | + | 138.221i | 0.615900 | + | 0.170014i | ||||
\(814\) | −1091.50 | −1.34091 | ||||||||
\(815\) | − | 9.03863i | − | 0.0110903i | ||||||
\(816\) | 135.748 | − | 491.768i | 0.166358 | − | 0.602657i | ||||
\(817\) | 887.117 | 1.08582 | ||||||||
\(818\) | 1130.42i | 1.38193i | ||||||||
\(819\) | 1456.93 | + | 870.691i | 1.77892 | + | 1.06312i | ||||
\(820\) | 1.45785 | 0.00177786 | ||||||||
\(821\) | − | 1518.91i | − | 1.85007i | −0.379878 | − | 0.925037i | \(-0.624034\pi\) | ||
0.379878 | − | 0.925037i | \(-0.375966\pi\) | |||||||
\(822\) | −1262.04 | − | 348.375i | −1.53533 | − | 0.423813i | ||||
\(823\) | 31.7446 | 0.0385718 | 0.0192859 | − | 0.999814i | \(-0.493861\pi\) | ||||
0.0192859 | + | 0.999814i | \(0.493861\pi\) | |||||||
\(824\) | − | 132.272i | − | 0.160525i | ||||||
\(825\) | −427.997 | + | 1550.48i | −0.518784 | + | 1.87937i | ||||
\(826\) | 149.033 | 0.180427 | ||||||||
\(827\) | 20.0349i | 0.0242260i | 0.999927 | + | 0.0121130i | \(0.00385578\pi\) | ||||
−0.999927 | + | 0.0121130i | \(0.996144\pi\) | |||||||
\(828\) | 6.77491 | − | 11.3365i | 0.00818226 | − | 0.0136914i | ||||
\(829\) | −82.5438 | −0.0995704 | −0.0497852 | − | 0.998760i | \(-0.515854\pi\) | ||||
−0.0497852 | + | 0.998760i | \(0.515854\pi\) | |||||||
\(830\) | − | 16.8342i | − | 0.0202822i | ||||||
\(831\) | 78.3540 | + | 21.6289i | 0.0942888 | + | 0.0260276i | ||||
\(832\) | 1273.56 | 1.53072 | ||||||||
\(833\) | − | 642.386i | − | 0.771172i | ||||||
\(834\) | −358.372 | + | 1298.26i | −0.429702 | + | 1.55666i | ||||
\(835\) | −18.5916 | −0.0222654 | ||||||||
\(836\) | 124.983i | 0.149501i | ||||||||
\(837\) | 187.254 | + | 195.916i | 0.223720 | + | 0.234069i | ||||
\(838\) | 416.454 | 0.496962 | ||||||||
\(839\) | 1215.01i | 1.44816i | 0.689714 | + | 0.724082i | \(0.257736\pi\) | ||||
−0.689714 | + | 0.724082i | \(0.742264\pi\) | |||||||
\(840\) | 23.2933 | + | 6.42991i | 0.0277301 | + | 0.00765465i | ||||
\(841\) | 665.322 | 0.791109 | ||||||||
\(842\) | 501.003i | 0.595015i | ||||||||
\(843\) | −31.5867 | + | 114.428i | −0.0374694 | + | 0.135739i | ||||
\(844\) | −75.8217 | −0.0898361 | ||||||||
\(845\) | − | 16.6269i | − | 0.0196768i | ||||||
\(846\) | −553.170 | − | 330.585i | −0.653866 | − | 0.390763i | ||||
\(847\) | 3451.24 | 4.07466 | ||||||||
\(848\) | − | 1051.08i | − | 1.23948i | ||||||
\(849\) | 74.8501 | + | 20.6617i | 0.0881626 | + | 0.0243365i | ||||
\(850\) | 562.085 | 0.661276 | ||||||||
\(851\) | 108.137i | 0.127070i | ||||||||
\(852\) | −14.5217 | + | 52.6069i | −0.0170442 | + | 0.0617452i | ||||
\(853\) | −197.718 | −0.231791 | −0.115895 | − | 0.993261i | \(-0.536974\pi\) | ||||
−0.115895 | + | 0.993261i | \(0.536974\pi\) | |||||||
\(854\) | 1339.64i | 1.56866i | ||||||||
\(855\) | −7.07220 | + | 11.8340i | −0.00827158 | + | 0.0138409i | ||||
\(856\) | 986.391 | 1.15233 | ||||||||
\(857\) | − | 970.679i | − | 1.13265i | −0.824183 | − | 0.566324i | \(-0.808365\pi\) | ||
0.824183 | − | 0.566324i | \(-0.191635\pi\) | |||||||
\(858\) | 2193.85 | + | 605.593i | 2.55694 | + | 0.705820i | ||||
\(859\) | 317.154 | 0.369213 | 0.184607 | − | 0.982813i | \(-0.440899\pi\) | ||||
0.184607 | + | 0.982813i | \(0.440899\pi\) | |||||||
\(860\) | 1.89879i | 0.00220790i | ||||||||
\(861\) | −343.639 | + | 1244.88i | −0.399116 | + | 1.44586i | ||||
\(862\) | −266.792 | −0.309504 | ||||||||
\(863\) | 471.887i | 0.546798i | 0.961901 | + | 0.273399i | \(0.0881480\pi\) | ||||
−0.961901 | + | 0.273399i | \(0.911852\pi\) | |||||||
\(864\) | 112.680 | − | 107.698i | 0.130417 | − | 0.124651i | ||||
\(865\) | −17.9570 | −0.0207596 | ||||||||
\(866\) | − | 79.8469i | − | 0.0922019i | ||||||
\(867\) | −433.633 | − | 119.700i | −0.500153 | − | 0.138063i | ||||
\(868\) | 36.9576 | 0.0425779 | ||||||||
\(869\) | − | 1284.60i | − | 1.47825i | ||||||
\(870\) | −1.92070 | + | 6.95803i | −0.00220770 | + | 0.00799774i | ||||
\(871\) | −1128.58 | −1.29573 | ||||||||
\(872\) | 592.104i | 0.679018i | ||||||||
\(873\) | 525.842 | + | 314.253i | 0.602339 | + | 0.359969i | ||||
\(874\) | −124.453 | −0.142395 | ||||||||
\(875\) | 48.3985i | 0.0553126i | ||||||||
\(876\) | −30.5338 | − | 8.42857i | −0.0348559 | − | 0.00962165i | ||||
\(877\) | 235.796 | 0.268867 | 0.134433 | − | 0.990923i | \(-0.457079\pi\) | ||||
0.134433 | + | 0.990923i | \(0.457079\pi\) | |||||||
\(878\) | − | 865.661i | − | 0.985947i | ||||||
\(879\) | 274.695 | − | 995.124i | 0.312508 | − | 1.13211i | ||||
\(880\) | 29.4462 | 0.0334615 | ||||||||
\(881\) | − | 89.8046i | − | 0.101935i | −0.998700 | − | 0.0509675i | \(-0.983770\pi\) | ||
0.998700 | − | 0.0509675i | \(-0.0162305\pi\) | |||||||
\(882\) | −479.732 | + | 802.737i | −0.543913 | + | 0.910133i | ||||
\(883\) | −231.045 | −0.261659 | −0.130830 | − | 0.991405i | \(-0.541764\pi\) | ||||
−0.130830 | + | 0.991405i | \(0.541764\pi\) | |||||||
\(884\) | 79.1287i | 0.0895121i | ||||||||
\(885\) | −2.11408 | − | 0.583571i | −0.00238879 | − | 0.000659403i | ||||
\(886\) | −473.001 | −0.533861 | ||||||||
\(887\) | − | 335.627i | − | 0.378385i | −0.981940 | − | 0.189192i | \(-0.939413\pi\) | ||
0.981940 | − | 0.189192i | \(-0.0605869\pi\) | |||||||
\(888\) | −177.152 | + | 641.759i | −0.199495 | + | 0.722702i | ||||
\(889\) | 1225.43 | 1.37844 | ||||||||
\(890\) | − | 23.7430i | − | 0.0266775i | ||||||
\(891\) | 1530.46 | − | 823.146i | 1.71769 | − | 0.923845i | ||||
\(892\) | −35.7873 | −0.0401203 | ||||||||
\(893\) | − | 604.196i | − | 0.676592i | ||||||
\(894\) | −288.635 | − | 79.6751i | −0.322858 | − | 0.0891220i | ||||
\(895\) | −18.7235 | −0.0209202 | ||||||||
\(896\) | 1097.96i | 1.22540i | ||||||||
\(897\) | 59.9969 | − | 217.348i | 0.0668861 | − | 0.242305i | ||||
\(898\) | −1302.09 | −1.44999 | ||||||||
\(899\) | 133.040i | 0.147986i | ||||||||
\(900\) | 69.8829 | + | 41.7634i | 0.0776477 | + | 0.0464038i | ||||
\(901\) | 859.450 | 0.953884 | ||||||||
\(902\) | 1731.71i | 1.91986i | ||||||||
\(903\) | −1621.42 | − | 447.578i | −1.79559 | − | 0.495657i | ||||
\(904\) | −113.316 | −0.125350 | ||||||||
\(905\) | − | 1.40811i | − | 0.00155592i | ||||||
\(906\) | 277.788 | − | 1006.33i | 0.306609 | − | 1.11074i | ||||
\(907\) | 823.589 | 0.908036 | 0.454018 | − | 0.890993i | \(-0.349990\pi\) | ||||
0.454018 | + | 0.890993i | \(0.349990\pi\) | |||||||
\(908\) | − | 96.3107i | − | 0.106069i | ||||||
\(909\) | −612.217 | + | 1024.43i | −0.673507 | + | 1.12698i | ||||
\(910\) | 34.2345 | 0.0376203 | ||||||||
\(911\) | − | 136.256i | − | 0.149568i | −0.997200 | − | 0.0747840i | \(-0.976173\pi\) | ||
0.997200 | − | 0.0747840i | \(-0.0238267\pi\) | |||||||
\(912\) | −671.207 | − | 185.281i | −0.735973 | − | 0.203159i | ||||
\(913\) | −1989.52 | −2.17911 | ||||||||
\(914\) | − | 724.090i | − | 0.792221i | ||||||
\(915\) | 5.24566 | − | 19.0032i | 0.00573296 | − | 0.0207685i | ||||
\(916\) | 34.3637 | 0.0375149 | ||||||||
\(917\) | − | 2139.64i | − | 2.33331i | ||||||
\(918\) | −419.591 | − | 439.001i | −0.457071 | − | 0.478215i | ||||
\(919\) | −784.225 | −0.853347 | −0.426673 | − | 0.904406i | \(-0.640315\pi\) | ||||
−0.426673 | + | 0.904406i | \(0.640315\pi\) | |||||||
\(920\) | − | 3.21015i | − | 0.00348929i | ||||||
\(921\) | −1153.36 | − | 318.375i | −1.25229 | − | 0.345684i | ||||
\(922\) | 800.852 | 0.868603 | ||||||||
\(923\) | 931.745i | 1.00948i | ||||||||
\(924\) | 63.0578 | − | 228.436i | 0.0682444 | − | 0.247226i | ||||
\(925\) | −666.599 | −0.720647 | ||||||||
\(926\) | − | 1689.65i | − | 1.82467i | ||||||
\(927\) | −122.824 | − | 73.4019i | −0.132496 | − | 0.0791822i | ||||
\(928\) | 76.5173 | 0.0824540 | ||||||||
\(929\) | − | 99.4589i | − | 0.107060i | −0.998566 | − | 0.0535301i | \(-0.982953\pi\) | ||
0.998566 | − | 0.0535301i | \(-0.0170473\pi\) | |||||||
\(930\) | 5.26928 | + | 1.45454i | 0.00566590 | + | 0.00156402i | ||||
\(931\) | −876.784 | −0.941766 | ||||||||
\(932\) | − | 4.03252i | − | 0.00432674i | ||||||
\(933\) | −294.787 | + | 1067.91i | −0.315956 | + | 1.14460i | ||||
\(934\) | −750.170 | −0.803180 | ||||||||
\(935\) | 24.0776i | 0.0257515i | ||||||||
\(936\) | 712.128 | − | 1191.61i | 0.760821 | − | 1.27309i | ||||
\(937\) | 584.975 | 0.624307 | 0.312153 | − | 0.950032i | \(-0.398950\pi\) | ||||
0.312153 | + | 0.950032i | \(0.398950\pi\) | |||||||
\(938\) | − | 1181.14i | − | 1.25921i | ||||||
\(939\) | 382.384 | + | 105.554i | 0.407225 | + | 0.112411i | ||||
\(940\) | 1.29323 | 0.00137577 | ||||||||
\(941\) | − | 31.9566i | − | 0.0339603i | −0.999856 | − | 0.0169801i | \(-0.994595\pi\) | ||
0.999856 | − | 0.0169801i | \(-0.00540520\pi\) | |||||||
\(942\) | −418.279 | + | 1515.28i | −0.444033 | + | 1.60858i | ||||
\(943\) | 171.563 | 0.181933 | ||||||||
\(944\) | − | 110.771i | − | 0.117342i | ||||||
\(945\) | 18.8968 | − | 18.0613i | 0.0199966 | − | 0.0191124i | ||||
\(946\) | −2255.50 | −2.38425 | ||||||||
\(947\) | − | 53.3236i | − | 0.0563079i | −0.999604 | − | 0.0281540i | \(-0.991037\pi\) | ||
0.999604 | − | 0.0281540i | \(-0.00896287\pi\) | |||||||
\(948\) | −62.6750 | − | 17.3009i | −0.0661128 | − | 0.0182498i | ||||
\(949\) | −540.798 | −0.569861 | ||||||||
\(950\) | − | 767.182i | − | 0.807560i | ||||||
\(951\) | −256.519 | + | 929.278i | −0.269736 | + | 0.977159i | ||||
\(952\) | −997.980 | −1.04830 | ||||||||
\(953\) | − | 1439.19i | − | 1.51016i | −0.655631 | − | 0.755082i | \(-0.727597\pi\) | ||
0.655631 | − | 0.755082i | \(-0.272403\pi\) | |||||||
\(954\) | −1073.98 | − | 641.834i | −1.12577 | − | 0.672782i | ||||
\(955\) | −11.6753 | −0.0122255 | ||||||||
\(956\) | 37.1475i | 0.0388572i | ||||||||
\(957\) | 822.323 | + | 226.995i | 0.859272 | + | 0.237194i | ||||
\(958\) | 62.1662 | 0.0648916 | ||||||||
\(959\) | 2327.48i | 2.42698i | ||||||||
\(960\) | 5.21913 | − | 18.9071i | 0.00543659 | − | 0.0196949i | ||||
\(961\) | −860.250 | −0.895161 | ||||||||
\(962\) | 943.202i | 0.980460i | ||||||||
\(963\) | 547.378 | − | 915.931i | 0.568409 | − | 0.951122i | ||||
\(964\) | 49.1089 | 0.0509428 | ||||||||
\(965\) | − | 19.2122i | − | 0.0199090i | ||||||
\(966\) | 227.468 | + | 62.7905i | 0.235474 | + | 0.0650006i | ||||
\(967\) | 1088.89 | 1.12605 | 0.563027 | − | 0.826438i | \(-0.309637\pi\) | ||||
0.563027 | + | 0.826438i | \(0.309637\pi\) | |||||||
\(968\) | − | 2822.73i | − | 2.91604i | ||||||
\(969\) | 151.501 | − | 548.835i | 0.156348 | − | 0.566394i | ||||
\(970\) | 12.3560 | 0.0127382 | ||||||||
\(971\) | 123.265i | 0.126946i | 0.997984 | + | 0.0634732i | \(0.0202177\pi\) | ||||
−0.997984 | + | 0.0634732i | \(0.979782\pi\) | |||||||
\(972\) | −19.5488 | − | 85.7561i | −0.0201119 | − | 0.0882265i | ||||
\(973\) | 2394.27 | 2.46071 | ||||||||
\(974\) | 24.7230i | 0.0253829i | ||||||||
\(975\) | 1339.82 | + | 369.846i | 1.37418 | + | 0.379329i | ||||
\(976\) | 995.708 | 1.02019 | ||||||||
\(977\) | − | 821.807i | − | 0.841154i | −0.907257 | − | 0.420577i | \(-0.861828\pi\) | ||
0.907257 | − | 0.420577i | \(-0.138172\pi\) | |||||||
\(978\) | 144.599 | − | 523.832i | 0.147852 | − | 0.535615i | ||||
\(979\) | −2806.02 | −2.86621 | ||||||||
\(980\) | − | 1.87668i | − | 0.00191498i | ||||||
\(981\) | 549.808 | + | 328.576i | 0.560457 | + | 0.334940i | ||||
\(982\) | −134.938 | −0.137411 | ||||||||
\(983\) | 17.3993i | 0.0177002i | 0.999961 | + | 0.00885011i | \(0.00281712\pi\) | ||||
−0.999961 | + | 0.00885011i | \(0.997183\pi\) | |||||||
\(984\) | 1018.18 | + | 281.058i | 1.03473 | + | 0.285628i | ||||
\(985\) | 11.7734 | 0.0119527 | ||||||||
\(986\) | − | 298.110i | − | 0.302343i | ||||||
\(987\) | −304.836 | + | 1104.31i | −0.308851 | + | 1.11886i | ||||
\(988\) | 108.002 | 0.109313 | ||||||||
\(989\) | 223.455i | 0.225940i | ||||||||
\(990\) | 17.9811 | − | 30.0879i | 0.0181627 | − | 0.0303918i | ||||
\(991\) | −923.251 | −0.931636 | −0.465818 | − | 0.884881i | \(-0.654240\pi\) | ||||
−0.465818 | + | 0.884881i | \(0.654240\pi\) | |||||||
\(992\) | − | 57.9462i | − | 0.0584135i | ||||||
\(993\) | −6.49424 | − | 1.79268i | −0.00654002 | − | 0.00180531i | ||||
\(994\) | −975.131 | −0.981017 | ||||||||
\(995\) | 10.5903i | 0.0106435i | ||||||||
\(996\) | −26.7946 | + | 97.0676i | −0.0269022 | + | 0.0974574i | ||||
\(997\) | 432.965 | 0.434267 | 0.217134 | − | 0.976142i | \(-0.430329\pi\) | ||||
0.217134 | + | 0.976142i | \(0.430329\pi\) | |||||||
\(998\) | − | 948.234i | − | 0.950134i | ||||||
\(999\) | 497.610 | + | 520.629i | 0.498108 | + | 0.521150i |
(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.119.28 | yes | 38 | |
3.2 | odd | 2 | inner | 177.3.b.a.119.11 | ✓ | 38 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.3.b.a.119.11 | ✓ | 38 | 3.2 | odd | 2 | inner | |
177.3.b.a.119.28 | yes | 38 | 1.1 | even | 1 | trivial |