Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,3,Mod(7,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.g (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.07085000914\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.6 | ||
Character | \(\chi\) | \(=\) | 76.11 |
Dual form | 76.3.g.c.7.6 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.784875 | + | 1.83956i | −0.392437 | + | 0.919779i | ||||
\(3\) | 1.67542 | + | 0.967303i | 0.558473 | + | 0.322434i | 0.752532 | − | 0.658555i | \(-0.228832\pi\) |
−0.194060 | + | 0.980990i | \(0.562166\pi\) | |||||||
\(4\) | −2.76794 | − | 2.88764i | −0.691986 | − | 0.721911i | ||||
\(5\) | −1.80536 | + | 3.12697i | −0.361072 | + | 0.625395i | −0.988138 | − | 0.153572i | \(-0.950922\pi\) |
0.627066 | + | 0.778966i | \(0.284256\pi\) | |||||||
\(6\) | −3.09440 | + | 2.32282i | −0.515734 | + | 0.387136i | ||||
\(7\) | 13.2414i | 1.89163i | 0.324708 | + | 0.945814i | \(0.394734\pi\) | ||||
−0.324708 | + | 0.945814i | \(0.605266\pi\) | |||||||
\(8\) | 7.48448 | − | 2.82535i | 0.935560 | − | 0.353169i | ||||
\(9\) | −2.62865 | − | 4.55296i | −0.292072 | − | 0.505884i | ||||
\(10\) | −4.33527 | − | 5.77535i | −0.433527 | − | 0.577535i | ||||
\(11\) | 2.62998i | 0.239089i | 0.992829 | + | 0.119544i | \(0.0381434\pi\) | ||||
−0.992829 | + | 0.119544i | \(0.961857\pi\) | |||||||
\(12\) | −1.84423 | − | 7.51545i | −0.153686 | − | 0.626288i | ||||
\(13\) | −0.424512 | − | 0.735277i | −0.0326548 | − | 0.0565598i | 0.849236 | − | 0.528013i | \(-0.177063\pi\) |
−0.881891 | + | 0.471453i | \(0.843730\pi\) | |||||||
\(14\) | −24.3583 | − | 10.3928i | −1.73988 | − | 0.742346i | ||||
\(15\) | −6.04946 | + | 3.49266i | −0.403298 | + | 0.232844i | ||||
\(16\) | −0.676982 | + | 15.9857i | −0.0423114 | + | 0.999104i | ||||
\(17\) | 6.24458 | − | 10.8159i | 0.367328 | − | 0.636231i | −0.621819 | − | 0.783161i | \(-0.713606\pi\) |
0.989147 | + | 0.146930i | \(0.0469392\pi\) | |||||||
\(18\) | 10.4386 | − | 1.26205i | 0.579921 | − | 0.0701140i | ||||
\(19\) | 18.2707 | + | 5.21350i | 0.961617 | + | 0.274395i | ||||
\(20\) | 14.0267 | − | 3.44205i | 0.701336 | − | 0.172103i | ||||
\(21\) | −12.8084 | + | 22.1849i | −0.609926 | + | 1.05642i | ||||
\(22\) | −4.83799 | − | 2.06420i | −0.219909 | − | 0.0938274i | ||||
\(23\) | 26.9066 | − | 15.5345i | 1.16985 | − | 0.675415i | 0.216208 | − | 0.976347i | \(-0.430631\pi\) |
0.953645 | + | 0.300932i | \(0.0972978\pi\) | |||||||
\(24\) | 15.2726 | + | 2.50611i | 0.636358 | + | 0.104421i | ||||
\(25\) | 5.98135 | + | 10.3600i | 0.239254 | + | 0.414400i | ||||
\(26\) | 1.68577 | − | 0.203814i | 0.0648374 | − | 0.00783902i | ||||
\(27\) | − | 27.5823i | − | 1.02157i | ||||||
\(28\) | 38.2365 | − | 36.6514i | 1.36559 | − | 1.30898i | ||||
\(29\) | −9.98430 | − | 17.2933i | −0.344286 | − | 0.596321i | 0.640938 | − | 0.767593i | \(-0.278546\pi\) |
−0.985224 | + | 0.171272i | \(0.945212\pi\) | |||||||
\(30\) | −1.67688 | − | 13.8696i | −0.0558959 | − | 0.462321i | ||||
\(31\) | 28.0966i | 0.906341i | 0.891424 | + | 0.453170i | \(0.149707\pi\) | ||||
−0.891424 | + | 0.453170i | \(0.850293\pi\) | |||||||
\(32\) | −28.8752 | − | 13.7921i | −0.902350 | − | 0.431003i | ||||
\(33\) | −2.54398 | + | 4.40631i | −0.0770904 | + | 0.133525i | ||||
\(34\) | 14.9953 | + | 19.9764i | 0.441039 | + | 0.587542i | ||||
\(35\) | −41.4055 | − | 23.9055i | −1.18301 | − | 0.683014i | ||||
\(36\) | −5.87136 | + | 20.1929i | −0.163093 | + | 0.560915i | ||||
\(37\) | 61.9366 | 1.67396 | 0.836982 | − | 0.547231i | \(-0.184318\pi\) | ||||
0.836982 | + | 0.547231i | \(0.184318\pi\) | |||||||
\(38\) | −23.9308 | + | 29.5181i | −0.629757 | + | 0.776792i | ||||
\(39\) | − | 1.64253i | − | 0.0421161i | ||||||
\(40\) | −4.67737 | + | 28.5045i | −0.116934 | + | 0.712614i | ||||
\(41\) | 10.4785 | − | 18.1493i | 0.255574 | − | 0.442667i | −0.709477 | − | 0.704728i | \(-0.751069\pi\) |
0.965051 | + | 0.262061i | \(0.0844023\pi\) | |||||||
\(42\) | −30.7573 | − | 40.9742i | −0.732317 | − | 0.975577i | ||||
\(43\) | −23.9849 | − | 13.8477i | −0.557788 | − | 0.322039i | 0.194469 | − | 0.980909i | \(-0.437701\pi\) |
−0.752257 | + | 0.658870i | \(0.771035\pi\) | |||||||
\(44\) | 7.59444 | − | 7.27963i | 0.172601 | − | 0.165446i | ||||
\(45\) | 18.9826 | 0.421836 | ||||||||
\(46\) | 7.45836 | + | 61.6890i | 0.162138 | + | 1.34106i | ||||
\(47\) | −44.2902 | + | 25.5710i | −0.942346 | + | 0.544064i | −0.890695 | − | 0.454602i | \(-0.849782\pi\) |
−0.0516508 | + | 0.998665i | \(0.516448\pi\) | |||||||
\(48\) | −16.5972 | + | 26.1278i | −0.345775 | + | 0.544330i | ||||
\(49\) | −126.335 | −2.57826 | ||||||||
\(50\) | −23.7524 | + | 2.87173i | −0.475049 | + | 0.0574347i | ||||
\(51\) | 20.9246 | − | 12.0808i | 0.410286 | − | 0.236879i | ||||
\(52\) | −0.948192 | + | 3.26105i | −0.0182345 | + | 0.0627124i | ||||
\(53\) | 9.57631 | + | 16.5867i | 0.180685 | + | 0.312956i | 0.942114 | − | 0.335293i | \(-0.108835\pi\) |
−0.761429 | + | 0.648248i | \(0.775502\pi\) | |||||||
\(54\) | 50.7391 | + | 21.6486i | 0.939614 | + | 0.400900i | ||||
\(55\) | −8.22387 | − | 4.74805i | −0.149525 | − | 0.0863283i | ||||
\(56\) | 37.4116 | + | 99.1049i | 0.668064 | + | 1.76973i | ||||
\(57\) | 25.5681 | + | 26.4081i | 0.448563 | + | 0.463300i | ||||
\(58\) | 39.6485 | − | 4.79360i | 0.683594 | − | 0.0826483i | ||||
\(59\) | −63.8560 | − | 36.8673i | −1.08231 | − | 0.624869i | −0.150788 | − | 0.988566i | \(-0.548181\pi\) |
−0.931517 | + | 0.363697i | \(0.881514\pi\) | |||||||
\(60\) | 26.8301 | + | 7.80122i | 0.447169 | + | 0.130020i | ||||
\(61\) | −32.5850 | − | 56.4388i | −0.534180 | − | 0.925227i | −0.999203 | − | 0.0399281i | \(-0.987287\pi\) |
0.465023 | − | 0.885299i | \(-0.346046\pi\) | |||||||
\(62\) | −51.6852 | − | 22.0523i | −0.833633 | − | 0.355682i | ||||
\(63\) | 60.2875 | − | 34.8070i | 0.956944 | − | 0.552492i | ||||
\(64\) | 48.0348 | − | 42.2925i | 0.750544 | − | 0.660821i | ||||
\(65\) | 3.06559 | 0.0471629 | ||||||||
\(66\) | −6.10895 | − | 8.13821i | −0.0925599 | − | 0.123306i | ||||
\(67\) | −21.6309 | + | 12.4886i | −0.322849 | + | 0.186397i | −0.652662 | − | 0.757649i | \(-0.726348\pi\) |
0.329813 | + | 0.944046i | \(0.393014\pi\) | |||||||
\(68\) | −48.5172 | + | 11.9058i | −0.713488 | + | 0.175085i | ||||
\(69\) | 60.1065 | 0.871108 | ||||||||
\(70\) | 76.4737 | − | 57.4050i | 1.09248 | − | 0.820072i | ||||
\(71\) | 32.3846 | + | 18.6972i | 0.456121 | + | 0.263342i | 0.710412 | − | 0.703786i | \(-0.248509\pi\) |
−0.254291 | + | 0.967128i | \(0.581842\pi\) | |||||||
\(72\) | −32.5378 | − | 26.6496i | −0.451913 | − | 0.370134i | ||||
\(73\) | 15.9102 | − | 27.5573i | 0.217948 | − | 0.377498i | −0.736232 | − | 0.676729i | \(-0.763397\pi\) |
0.954181 | + | 0.299231i | \(0.0967302\pi\) | |||||||
\(74\) | −48.6125 | + | 113.936i | −0.656926 | + | 1.53968i | ||||
\(75\) | 23.1431i | 0.308575i | ||||||||
\(76\) | −35.5176 | − | 67.1900i | −0.467337 | − | 0.884079i | ||||
\(77\) | −34.8246 | −0.452267 | ||||||||
\(78\) | 3.02152 | + | 1.28918i | 0.0387375 | + | 0.0165279i | ||||
\(79\) | 82.1900 | + | 47.4524i | 1.04038 | + | 0.600663i | 0.919941 | − | 0.392058i | \(-0.128237\pi\) |
0.120439 | + | 0.992721i | \(0.461570\pi\) | |||||||
\(80\) | −48.7646 | − | 30.9768i | −0.609557 | − | 0.387210i | ||||
\(81\) | 3.02255 | − | 5.23521i | 0.0373154 | − | 0.0646322i | ||||
\(82\) | 25.1624 | + | 33.5208i | 0.306859 | + | 0.408790i | ||||
\(83\) | − | 22.6827i | − | 0.273285i | −0.990620 | − | 0.136643i | \(-0.956369\pi\) | ||
0.990620 | − | 0.136643i | \(-0.0436312\pi\) | |||||||
\(84\) | 99.5151 | − | 24.4202i | 1.18470 | − | 0.290717i | ||||
\(85\) | 22.5474 | + | 39.0533i | 0.265264 | + | 0.459450i | ||||
\(86\) | 44.2987 | − | 33.2529i | 0.515101 | − | 0.386661i | ||||
\(87\) | − | 38.6314i | − | 0.444039i | ||||||
\(88\) | 7.43061 | + | 19.6840i | 0.0844387 | + | 0.223682i | ||||
\(89\) | 60.9279 | + | 105.530i | 0.684583 | + | 1.18573i | 0.973568 | + | 0.228399i | \(0.0733490\pi\) |
−0.288985 | + | 0.957334i | \(0.593318\pi\) | |||||||
\(90\) | −14.8990 | + | 34.9196i | −0.165544 | + | 0.387996i | ||||
\(91\) | 9.73609 | − | 5.62114i | 0.106990 | − | 0.0617707i | ||||
\(92\) | −119.334 | − | 34.6980i | −1.29711 | − | 0.377152i | ||||
\(93\) | −27.1779 | + | 47.0735i | −0.292235 | + | 0.506167i | ||||
\(94\) | −12.2770 | − | 101.544i | −0.130606 | − | 1.08026i | ||||
\(95\) | −49.2877 | + | 47.7198i | −0.518818 | + | 0.502314i | ||||
\(96\) | −35.0369 | − | 51.0386i | −0.364968 | − | 0.531652i | ||||
\(97\) | −10.1782 | + | 17.6292i | −0.104930 | + | 0.181744i | −0.913710 | − | 0.406368i | \(-0.866795\pi\) |
0.808779 | + | 0.588112i | \(0.200129\pi\) | |||||||
\(98\) | 99.1569 | − | 232.400i | 1.01180 | − | 2.37143i | ||||
\(99\) | 11.9742 | − | 6.91329i | 0.120951 | − | 0.0698312i | ||||
\(100\) | 13.3600 | − | 45.9479i | 0.133600 | − | 0.459479i | ||||
\(101\) | −62.0321 | − | 107.443i | −0.614179 | − | 1.06379i | −0.990528 | − | 0.137312i | \(-0.956154\pi\) |
0.376349 | − | 0.926478i | \(-0.377179\pi\) | |||||||
\(102\) | 5.80017 | + | 47.9739i | 0.0568644 | + | 0.470332i | ||||
\(103\) | 70.5949i | 0.685388i | 0.939447 | + | 0.342694i | \(0.111339\pi\) | ||||
−0.939447 | + | 0.342694i | \(0.888661\pi\) | |||||||
\(104\) | −5.25467 | − | 4.30377i | −0.0505257 | − | 0.0413824i | ||||
\(105\) | −46.2477 | − | 80.1034i | −0.440454 | − | 0.762889i | ||||
\(106\) | −38.0283 | + | 4.59773i | −0.358758 | + | 0.0433748i | ||||
\(107\) | − | 155.198i | − | 1.45045i | −0.688512 | − | 0.725225i | \(-0.741736\pi\) | ||
0.688512 | − | 0.725225i | \(-0.258264\pi\) | |||||||
\(108\) | −79.6478 | + | 76.3461i | −0.737479 | + | 0.706908i | ||||
\(109\) | 0.983093 | − | 1.70277i | 0.00901920 | − | 0.0156217i | −0.861481 | − | 0.507791i | \(-0.830462\pi\) |
0.870500 | + | 0.492169i | \(0.163796\pi\) | |||||||
\(110\) | 15.1890 | − | 11.4017i | 0.138082 | − | 0.103651i | ||||
\(111\) | 103.770 | + | 59.9115i | 0.934863 | + | 0.539743i | ||||
\(112\) | −211.673 | − | 8.96419i | −1.88993 | − | 0.0800374i | ||||
\(113\) | 121.855 | 1.07836 | 0.539179 | − | 0.842191i | \(-0.318735\pi\) | ||||
0.539179 | + | 0.842191i | \(0.318735\pi\) | |||||||
\(114\) | −68.6470 | + | 26.3069i | −0.602167 | + | 0.230762i | ||||
\(115\) | 112.182i | 0.975494i | ||||||||
\(116\) | −22.3010 | + | 76.6980i | −0.192250 | + | 0.661190i | ||||
\(117\) | −2.23179 | + | 3.86557i | −0.0190751 | + | 0.0330391i | ||||
\(118\) | 117.938 | − | 88.5306i | 0.999478 | − | 0.750259i | ||||
\(119\) | 143.218 | + | 82.6870i | 1.20351 | + | 0.694849i | ||||
\(120\) | −35.4091 | + | 43.2326i | −0.295076 | + | 0.360272i | ||||
\(121\) | 114.083 | 0.942837 | ||||||||
\(122\) | 129.398 | − | 15.6445i | 1.06064 | − | 0.128234i | ||||
\(123\) | 35.1118 | − | 20.2718i | 0.285462 | − | 0.164811i | ||||
\(124\) | 81.1329 | − | 77.7697i | 0.654298 | − | 0.627175i | ||||
\(125\) | −133.462 | −1.06770 | ||||||||
\(126\) | 16.7113 | + | 138.221i | 0.132630 | + | 1.09700i | ||||
\(127\) | −200.043 | + | 115.495i | −1.57514 | + | 0.909407i | −0.579615 | + | 0.814890i | \(0.696797\pi\) |
−0.995523 | + | 0.0945162i | \(0.969870\pi\) | |||||||
\(128\) | 40.0983 | + | 121.557i | 0.313268 | + | 0.949665i | ||||
\(129\) | −26.7898 | − | 46.4013i | −0.207673 | − | 0.359700i | ||||
\(130\) | −2.40610 | + | 5.63933i | −0.0185085 | + | 0.0433794i | ||||
\(131\) | 72.8384 | + | 42.0533i | 0.556019 | + | 0.321018i | 0.751546 | − | 0.659681i | \(-0.229308\pi\) |
−0.195527 | + | 0.980698i | \(0.562642\pi\) | |||||||
\(132\) | 19.7655 | − | 4.85029i | 0.149738 | − | 0.0367446i | ||||
\(133\) | −69.0340 | + | 241.930i | −0.519053 | + | 1.81902i | ||||
\(134\) | −5.99596 | − | 49.5933i | −0.0447460 | − | 0.370099i | ||||
\(135\) | 86.2490 | + | 49.7959i | 0.638882 | + | 0.368858i | ||||
\(136\) | 16.1786 | − | 98.5947i | 0.118960 | − | 0.724961i | ||||
\(137\) | −93.3805 | − | 161.740i | −0.681610 | − | 1.18058i | −0.974489 | − | 0.224433i | \(-0.927947\pi\) |
0.292880 | − | 0.956149i | \(-0.405386\pi\) | |||||||
\(138\) | −47.1760 | + | 110.569i | −0.341855 | + | 0.801227i | ||||
\(139\) | −98.0227 | + | 56.5934i | −0.705199 | + | 0.407147i | −0.809281 | − | 0.587422i | \(-0.800143\pi\) |
0.104082 | + | 0.994569i | \(0.466810\pi\) | |||||||
\(140\) | 45.5776 | + | 185.733i | 0.325554 | + | 1.32667i | ||||
\(141\) | −98.9396 | −0.701699 | ||||||||
\(142\) | −59.8125 | + | 44.8983i | −0.421215 | + | 0.316185i | ||||
\(143\) | 1.93376 | − | 1.11646i | 0.0135228 | − | 0.00780740i | ||||
\(144\) | 74.5616 | − | 38.9385i | 0.517789 | − | 0.270406i | ||||
\(145\) | 72.1010 | 0.497248 | ||||||||
\(146\) | 38.2058 | + | 50.8968i | 0.261683 | + | 0.348609i | ||||
\(147\) | −211.663 | − | 122.204i | −1.43989 | − | 0.831319i | ||||
\(148\) | −171.437 | − | 178.851i | −1.15836 | − | 1.20845i | ||||
\(149\) | −20.3310 | + | 35.2142i | −0.136449 | + | 0.236337i | −0.926150 | − | 0.377155i | \(-0.876902\pi\) |
0.789701 | + | 0.613492i | \(0.210236\pi\) | |||||||
\(150\) | −42.5731 | − | 18.1645i | −0.283821 | − | 0.121096i | ||||
\(151\) | − | 55.7881i | − | 0.369458i | −0.982790 | − | 0.184729i | \(-0.940859\pi\) | ||
0.982790 | − | 0.184729i | \(-0.0591407\pi\) | |||||||
\(152\) | 151.477 | − | 12.6009i | 0.996558 | − | 0.0829005i | ||||
\(153\) | −65.6593 | −0.429146 | ||||||||
\(154\) | 27.3329 | − | 64.0618i | 0.177487 | − | 0.415986i | ||||
\(155\) | −87.8572 | − | 50.7244i | −0.566821 | − | 0.327254i | ||||
\(156\) | −4.74304 | + | 4.54642i | −0.0304041 | + | 0.0291437i | ||||
\(157\) | 108.233 | − | 187.465i | 0.689384 | − | 1.19405i | −0.282654 | − | 0.959222i | \(-0.591215\pi\) |
0.972038 | − | 0.234826i | \(-0.0754519\pi\) | |||||||
\(158\) | −151.800 | + | 113.949i | −0.960761 | + | 0.721196i | ||||
\(159\) | 37.0528i | 0.233036i | ||||||||
\(160\) | 95.2577 | − | 65.3924i | 0.595361 | − | 0.408702i | ||||
\(161\) | 205.699 | + | 356.281i | 1.27763 | + | 2.21293i | ||||
\(162\) | 7.25815 | + | 9.66914i | 0.0448034 | + | 0.0596860i | ||||
\(163\) | − | 207.832i | − | 1.27504i | −0.770432 | − | 0.637522i | \(-0.779959\pi\) | ||
0.770432 | − | 0.637522i | \(-0.220041\pi\) | |||||||
\(164\) | −81.4128 | + | 19.9781i | −0.496419 | + | 0.121818i | ||||
\(165\) | −9.18561 | − | 15.9099i | −0.0556704 | − | 0.0964239i | ||||
\(166\) | 41.7261 | + | 17.8030i | 0.251362 | + | 0.107247i | ||||
\(167\) | 121.114 | − | 69.9255i | 0.725236 | − | 0.418715i | −0.0914405 | − | 0.995811i | \(-0.529147\pi\) |
0.816677 | + | 0.577095i | \(0.195814\pi\) | |||||||
\(168\) | −33.1844 | + | 202.231i | −0.197526 | + | 1.20375i | ||||
\(169\) | 84.1396 | − | 145.734i | 0.497867 | − | 0.862332i | ||||
\(170\) | −89.5377 | + | 10.8253i | −0.526692 | + | 0.0636785i | ||||
\(171\) | −24.2905 | − | 96.8903i | −0.142050 | − | 0.566610i | ||||
\(172\) | 26.4016 | + | 107.589i | 0.153498 | + | 0.625519i | ||||
\(173\) | 87.6690 | − | 151.847i | 0.506757 | − | 0.877729i | −0.493212 | − | 0.869909i | \(-0.664177\pi\) |
0.999969 | − | 0.00782030i | \(-0.00248931\pi\) | |||||||
\(174\) | 71.0646 | + | 30.3208i | 0.408417 | + | 0.174257i | ||||
\(175\) | −137.181 | + | 79.2015i | −0.783891 | + | 0.452580i | ||||
\(176\) | −42.0419 | − | 1.78045i | −0.238875 | − | 0.0101162i | ||||
\(177\) | −71.3237 | − | 123.536i | −0.402959 | − | 0.697945i | ||||
\(178\) | −241.950 | + | 29.2524i | −1.35927 | + | 0.164339i | ||||
\(179\) | − | 75.1810i | − | 0.420006i | −0.977701 | − | 0.210003i | \(-0.932653\pi\) | ||
0.977701 | − | 0.210003i | \(-0.0673473\pi\) | |||||||
\(180\) | −52.5428 | − | 54.8151i | −0.291905 | − | 0.304528i | ||||
\(181\) | −51.3996 | − | 89.0267i | −0.283976 | − | 0.491860i | 0.688385 | − | 0.725346i | \(-0.258320\pi\) |
−0.972360 | + | 0.233486i | \(0.924987\pi\) | |||||||
\(182\) | 2.69879 | + | 22.3220i | 0.0148285 | + | 0.122648i | ||||
\(183\) | − | 126.078i | − | 0.688952i | ||||||
\(184\) | 157.491 | − | 192.289i | 0.855932 | − | 1.04505i | ||||
\(185\) | −111.818 | + | 193.674i | −0.604421 | + | 1.04689i | ||||
\(186\) | −65.2631 | − | 86.9421i | −0.350877 | − | 0.467431i | ||||
\(187\) | 28.4457 | + | 16.4231i | 0.152116 | + | 0.0878241i | ||||
\(188\) | 196.433 | + | 57.1155i | 1.04486 | + | 0.303806i | ||||
\(189\) | 365.228 | 1.93242 | ||||||||
\(190\) | −49.0987 | − | 128.122i | −0.258414 | − | 0.674325i | ||||
\(191\) | − | 147.613i | − | 0.772843i | −0.922322 | − | 0.386421i | \(-0.873711\pi\) | ||
0.922322 | − | 0.386421i | \(-0.126289\pi\) | |||||||
\(192\) | 121.388 | − | 24.3935i | 0.632229 | − | 0.127049i | ||||
\(193\) | −91.3318 | + | 158.191i | −0.473222 | + | 0.819644i | −0.999530 | − | 0.0306497i | \(-0.990242\pi\) |
0.526309 | + | 0.850294i | \(0.323576\pi\) | |||||||
\(194\) | −24.4413 | − | 32.5602i | −0.125986 | − | 0.167836i | ||||
\(195\) | 5.13614 | + | 2.96535i | 0.0263392 | + | 0.0152069i | ||||
\(196\) | 349.687 | + | 364.809i | 1.78412 | + | 1.86127i | ||||
\(197\) | −71.2318 | −0.361583 | −0.180791 | − | 0.983521i | \(-0.557866\pi\) | ||||
−0.180791 | + | 0.983521i | \(0.557866\pi\) | |||||||
\(198\) | 3.31917 | + | 27.4532i | 0.0167635 | + | 0.138653i | ||||
\(199\) | −108.995 | + | 62.9282i | −0.547713 | + | 0.316222i | −0.748199 | − | 0.663474i | \(-0.769081\pi\) |
0.200486 | + | 0.979697i | \(0.435748\pi\) | |||||||
\(200\) | 74.0380 | + | 60.6398i | 0.370190 | + | 0.303199i | ||||
\(201\) | −48.3211 | −0.240403 | ||||||||
\(202\) | 246.335 | − | 29.7825i | 1.21948 | − | 0.147438i | ||||
\(203\) | 228.988 | − | 132.206i | 1.12802 | − | 0.651261i | ||||
\(204\) | −92.8031 | − | 26.9837i | −0.454917 | − | 0.132273i | ||||
\(205\) | 37.8350 | + | 65.5321i | 0.184561 | + | 0.319669i | ||||
\(206\) | −129.863 | − | 55.4082i | −0.630405 | − | 0.268972i | ||||
\(207\) | −141.456 | − | 81.6698i | −0.683363 | − | 0.394540i | ||||
\(208\) | 12.0413 | − | 6.28835i | 0.0578908 | − | 0.0302324i | ||||
\(209\) | −13.7114 | + | 48.0516i | −0.0656047 | + | 0.229912i | ||||
\(210\) | 183.653 | − | 22.2042i | 0.874540 | − | 0.105734i | ||||
\(211\) | −103.386 | − | 59.6899i | −0.489981 | − | 0.282890i | 0.234586 | − | 0.972095i | \(-0.424627\pi\) |
−0.724566 | + | 0.689205i | \(0.757960\pi\) | |||||||
\(212\) | 21.3897 | − | 73.5639i | 0.100895 | − | 0.347000i | ||||
\(213\) | 36.1718 | + | 62.6514i | 0.169821 | + | 0.294138i | ||||
\(214\) | 285.496 | + | 121.811i | 1.33409 | + | 0.569210i | ||||
\(215\) | 86.6026 | − | 50.0000i | 0.402803 | − | 0.232558i | ||||
\(216\) | −77.9296 | − | 206.439i | −0.360785 | − | 0.955735i | ||||
\(217\) | −372.038 | −1.71446 | ||||||||
\(218\) | 2.36073 | + | 3.14491i | 0.0108290 | + | 0.0144262i | ||||
\(219\) | 53.3126 | − | 30.7800i | 0.243436 | − | 0.140548i | ||||
\(220\) | 9.05251 | + | 36.8900i | 0.0411478 | + | 0.167682i | ||||
\(221\) | −10.6036 | −0.0479801 | ||||||||
\(222\) | −191.657 | + | 143.867i | −0.863319 | + | 0.648051i | ||||
\(223\) | 288.078 | + | 166.322i | 1.29183 | + | 0.745838i | 0.978978 | − | 0.203964i | \(-0.0653826\pi\) |
0.312851 | + | 0.949802i | \(0.398716\pi\) | |||||||
\(224\) | 182.627 | − | 382.348i | 0.815298 | − | 1.70691i | ||||
\(225\) | 31.4458 | − | 54.4657i | 0.139759 | − | 0.242070i | ||||
\(226\) | −95.6405 | + | 224.158i | −0.423188 | + | 0.991851i | ||||
\(227\) | 269.515i | 1.18729i | 0.804726 | + | 0.593646i | \(0.202312\pi\) | ||||
−0.804726 | + | 0.593646i | \(0.797688\pi\) | |||||||
\(228\) | 5.48631 | − | 146.928i | 0.0240628 | − | 0.644420i | ||||
\(229\) | −125.987 | −0.550163 | −0.275081 | − | 0.961421i | \(-0.588705\pi\) | ||||
−0.275081 | + | 0.961421i | \(0.588705\pi\) | |||||||
\(230\) | −206.365 | − | 88.0486i | −0.897238 | − | 0.382820i | ||||
\(231\) | −58.3457 | − | 33.6859i | −0.252579 | − | 0.145826i | ||||
\(232\) | −123.587 | − | 101.222i | −0.532702 | − | 0.436303i | ||||
\(233\) | 122.359 | − | 211.933i | 0.525148 | − | 0.909583i | −0.474423 | − | 0.880297i | \(-0.657343\pi\) |
0.999571 | − | 0.0292861i | \(-0.00932338\pi\) | |||||||
\(234\) | −5.35927 | − | 7.13949i | −0.0229028 | − | 0.0305107i | ||||
\(235\) | − | 184.659i | − | 0.785784i | ||||||
\(236\) | 70.2902 | + | 286.440i | 0.297840 | + | 1.21373i | ||||
\(237\) | 91.8017 | + | 159.005i | 0.387349 | + | 0.670908i | ||||
\(238\) | −264.516 | + | 198.559i | −1.11141 | + | 0.834281i | ||||
\(239\) | 304.299i | 1.27322i | 0.771187 | + | 0.636609i | \(0.219663\pi\) | ||||
−0.771187 | + | 0.636609i | \(0.780337\pi\) | |||||||
\(240\) | −51.7371 | − | 99.0692i | −0.215571 | − | 0.412788i | ||||
\(241\) | −79.0630 | − | 136.941i | −0.328062 | − | 0.568220i | 0.654065 | − | 0.756438i | \(-0.273062\pi\) |
−0.982127 | + | 0.188218i | \(0.939729\pi\) | |||||||
\(242\) | −89.5410 | + | 209.863i | −0.370004 | + | 0.867201i | ||||
\(243\) | −204.854 | + | 118.273i | −0.843022 | + | 0.486719i | ||||
\(244\) | −72.7819 | + | 250.313i | −0.298287 | + | 1.02587i | ||||
\(245\) | 228.079 | − | 395.045i | 0.930936 | − | 1.61243i | ||||
\(246\) | 9.73279 | + | 80.5010i | 0.0395642 | + | 0.327240i | ||||
\(247\) | −3.92278 | − | 15.6472i | −0.0158817 | − | 0.0633491i | ||||
\(248\) | 79.3827 | + | 210.288i | 0.320091 | + | 0.847936i | ||||
\(249\) | 21.9410 | − | 38.0029i | 0.0881165 | − | 0.152622i | ||||
\(250\) | 104.751 | − | 245.511i | 0.419004 | − | 0.982044i | ||||
\(251\) | 237.858 | − | 137.327i | 0.947640 | − | 0.547120i | 0.0552931 | − | 0.998470i | \(-0.482391\pi\) |
0.892347 | + | 0.451350i | \(0.149057\pi\) | |||||||
\(252\) | −267.383 | − | 77.7451i | −1.06104 | − | 0.308512i | ||||
\(253\) | 40.8555 | + | 70.7638i | 0.161484 | + | 0.279699i | ||||
\(254\) | −55.4506 | − | 458.639i | −0.218310 | − | 1.80566i | ||||
\(255\) | 87.2408i | 0.342121i | ||||||||
\(256\) | −255.083 | − | 21.6440i | −0.996419 | − | 0.0845470i | ||||
\(257\) | 42.0095 | + | 72.7626i | 0.163461 | + | 0.283123i | 0.936108 | − | 0.351713i | \(-0.114401\pi\) |
−0.772647 | + | 0.634836i | \(0.781067\pi\) | |||||||
\(258\) | 106.384 | − | 12.8622i | 0.412343 | − | 0.0498533i | ||||
\(259\) | 820.128i | 3.16652i | ||||||||
\(260\) | −8.48538 | − | 8.85233i | −0.0326361 | − | 0.0340474i | ||||
\(261\) | −52.4904 | + | 90.9161i | −0.201113 | + | 0.348338i | ||||
\(262\) | −134.529 | + | 100.984i | −0.513468 | + | 0.385435i | ||||
\(263\) | −323.995 | − | 187.059i | −1.23192 | − | 0.711250i | −0.264491 | − | 0.964388i | \(-0.585204\pi\) |
−0.967430 | + | 0.253138i | \(0.918537\pi\) | |||||||
\(264\) | −6.59102 | + | 40.1666i | −0.0249660 | + | 0.152146i | ||||
\(265\) | −69.1547 | −0.260961 | ||||||||
\(266\) | −390.861 | − | 316.877i | −1.46940 | − | 1.19127i | ||||
\(267\) | 235.743i | 0.882932i | ||||||||
\(268\) | 95.9358 | + | 27.8946i | 0.357969 | + | 0.104084i | ||||
\(269\) | −191.744 | + | 332.110i | −0.712801 | + | 1.23461i | 0.251000 | + | 0.967987i | \(0.419240\pi\) |
−0.963801 | + | 0.266621i | \(0.914093\pi\) | |||||||
\(270\) | −159.297 | + | 119.576i | −0.589989 | + | 0.442876i | ||||
\(271\) | −231.039 | − | 133.390i | −0.852541 | − | 0.492215i | 0.00896635 | − | 0.999960i | \(-0.497146\pi\) |
−0.861507 | + | 0.507745i | \(0.830479\pi\) | |||||||
\(272\) | 168.672 | + | 107.146i | 0.620119 | + | 0.393919i | ||||
\(273\) | 21.7494 | 0.0796680 | ||||||||
\(274\) | 370.822 | − | 44.8333i | 1.35336 | − | 0.163625i | ||||
\(275\) | −27.2466 | + | 15.7308i | −0.0990785 | + | 0.0572030i | ||||
\(276\) | −166.371 | − | 173.566i | −0.602794 | − | 0.628863i | ||||
\(277\) | −2.45823 | −0.00887446 | −0.00443723 | − | 0.999990i | \(-0.501412\pi\) | ||||
−0.00443723 | + | 0.999990i | \(0.501412\pi\) | |||||||
\(278\) | −27.1713 | − | 224.737i | −0.0977385 | − | 0.808407i | ||||
\(279\) | 127.922 | − | 73.8560i | 0.458503 | − | 0.264717i | ||||
\(280\) | −377.440 | − | 61.9349i | −1.34800 | − | 0.221196i | ||||
\(281\) | 24.3228 | + | 42.1283i | 0.0865580 | + | 0.149923i | 0.906054 | − | 0.423162i | \(-0.139080\pi\) |
−0.819496 | + | 0.573085i | \(0.805747\pi\) | |||||||
\(282\) | 77.6552 | − | 182.005i | 0.275373 | − | 0.645408i | ||||
\(283\) | 336.365 | + | 194.201i | 1.18857 | + | 0.686221i | 0.957981 | − | 0.286830i | \(-0.0926016\pi\) |
0.230588 | + | 0.973051i | \(0.425935\pi\) | |||||||
\(284\) | −35.6477 | − | 145.268i | −0.125520 | − | 0.511507i | ||||
\(285\) | −128.737 | + | 32.2745i | −0.451709 | + | 0.113244i | ||||
\(286\) | 0.536027 | + | 4.43354i | 0.00187422 | + | 0.0155019i | ||||
\(287\) | 240.323 | + | 138.750i | 0.837361 | + | 0.483450i | ||||
\(288\) | 13.1080 | + | 167.722i | 0.0455140 | + | 0.582369i | ||||
\(289\) | 66.5104 | + | 115.199i | 0.230140 | + | 0.398614i | ||||
\(290\) | −56.5902 | + | 132.634i | −0.195139 | + | 0.457358i | ||||
\(291\) | −34.1056 | + | 19.6909i | −0.117201 | + | 0.0676662i | ||||
\(292\) | −123.614 | + | 30.3340i | −0.423337 | + | 0.103884i | ||||
\(293\) | −303.235 | −1.03493 | −0.517465 | − | 0.855704i | \(-0.673124\pi\) | ||||
−0.517465 | + | 0.855704i | \(0.673124\pi\) | |||||||
\(294\) | 390.930 | − | 293.452i | 1.32969 | − | 0.998136i | ||||
\(295\) | 230.566 | − | 133.117i | 0.781580 | − | 0.451245i | ||||
\(296\) | 463.563 | − | 174.993i | 1.56609 | − | 0.591192i | ||||
\(297\) | 72.5407 | 0.244245 | ||||||||
\(298\) | −48.8214 | − | 65.0387i | −0.163830 | − | 0.218251i | ||||
\(299\) | −22.8444 | − | 13.1892i | −0.0764026 | − | 0.0441111i | ||||
\(300\) | 66.8291 | − | 64.0589i | 0.222764 | − | 0.213530i | ||||
\(301\) | 183.363 | − | 317.593i | 0.609178 | − | 1.05513i | ||||
\(302\) | 102.625 | + | 43.7867i | 0.339819 | + | 0.144989i | ||||
\(303\) | − | 240.015i | − | 0.792130i | ||||||
\(304\) | −95.7103 | + | 288.540i | −0.314836 | + | 0.949146i | ||||
\(305\) | 235.310 | 0.771510 | ||||||||
\(306\) | 51.5343 | − | 120.784i | 0.168413 | − | 0.394719i | ||||
\(307\) | −57.7439 | − | 33.3385i | −0.188091 | − | 0.108594i | 0.402998 | − | 0.915201i | \(-0.367968\pi\) |
−0.591089 | + | 0.806607i | \(0.701302\pi\) | |||||||
\(308\) | 96.3924 | + | 100.561i | 0.312962 | + | 0.326497i | ||||
\(309\) | −68.2867 | + | 118.276i | −0.220992 | + | 0.382770i | ||||
\(310\) | 162.267 | − | 121.806i | 0.523443 | − | 0.392923i | ||||
\(311\) | 336.974i | 1.08352i | 0.840534 | + | 0.541759i | \(0.182241\pi\) | ||||
−0.840534 | + | 0.541759i | \(0.817759\pi\) | |||||||
\(312\) | −4.64072 | − | 12.2935i | −0.0148741 | − | 0.0394021i | ||||
\(313\) | 102.792 | + | 178.041i | 0.328409 | + | 0.568821i | 0.982196 | − | 0.187857i | \(-0.0601542\pi\) |
−0.653787 | + | 0.756678i | \(0.726821\pi\) | |||||||
\(314\) | 259.904 | + | 346.238i | 0.827720 | + | 1.10267i | ||||
\(315\) | 251.357i | 0.797957i | ||||||||
\(316\) | −90.4715 | − | 368.681i | −0.286302 | − | 1.16671i | ||||
\(317\) | 283.961 | + | 491.835i | 0.895777 | + | 1.55153i | 0.832841 | + | 0.553513i | \(0.186713\pi\) |
0.0629359 | + | 0.998018i | \(0.479954\pi\) | |||||||
\(318\) | −68.1607 | − | 29.0818i | −0.214342 | − | 0.0914522i | ||||
\(319\) | 45.4810 | − | 26.2585i | 0.142574 | − | 0.0823149i | ||||
\(320\) | 45.5277 | + | 226.557i | 0.142274 | + | 0.707990i | ||||
\(321\) | 150.124 | − | 260.022i | 0.467675 | − | 0.810036i | ||||
\(322\) | −816.848 | + | 98.7591i | −2.53680 | + | 0.306705i | ||||
\(323\) | 170.482 | − | 165.059i | 0.527808 | − | 0.511018i | ||||
\(324\) | −23.4837 | + | 5.76271i | −0.0724805 | + | 0.0177862i | ||||
\(325\) | 5.07832 | − | 8.79590i | 0.0156256 | − | 0.0270643i | ||||
\(326\) | 382.319 | + | 163.122i | 1.17276 | + | 0.500375i | ||||
\(327\) | 3.29418 | − | 1.90190i | 0.0100740 | − | 0.00581620i | ||||
\(328\) | 27.1480 | − | 165.444i | 0.0827684 | − | 0.504402i | ||||
\(329\) | −338.596 | − | 586.465i | −1.02917 | − | 1.78257i | ||||
\(330\) | 36.4768 | − | 4.41015i | 0.110536 | − | 0.0133641i | ||||
\(331\) | − | 507.216i | − | 1.53237i | −0.642618 | − | 0.766187i | \(-0.722152\pi\) | ||
0.642618 | − | 0.766187i | \(-0.277848\pi\) | |||||||
\(332\) | −65.4995 | + | 62.7843i | −0.197288 | + | 0.189109i | ||||
\(333\) | −162.810 | − | 281.995i | −0.488918 | − | 0.846831i | ||||
\(334\) | 33.5722 | + | 277.680i | 0.100516 | + | 0.831377i | ||||
\(335\) | − | 90.1857i | − | 0.269211i | ||||||
\(336\) | −345.969 | − | 219.770i | −1.02967 | − | 0.654078i | ||||
\(337\) | 92.2021 | − | 159.699i | 0.273597 | − | 0.473883i | −0.696183 | − | 0.717864i | \(-0.745120\pi\) |
0.969780 | + | 0.243981i | \(0.0784533\pi\) | |||||||
\(338\) | 202.047 | + | 269.163i | 0.597772 | + | 0.796339i | ||||
\(339\) | 204.157 | + | 117.870i | 0.602234 | + | 0.347700i | ||||
\(340\) | 50.3620 | − | 173.206i | 0.148124 | − | 0.509430i | ||||
\(341\) | −73.8933 | −0.216696 | ||||||||
\(342\) | 197.300 | + | 31.3629i | 0.576901 | + | 0.0917045i | ||||
\(343\) | − | 1024.02i | − | 2.98548i | ||||||
\(344\) | −218.639 | − | 35.8769i | −0.635578 | − | 0.104293i | ||||
\(345\) | −108.514 | + | 187.951i | −0.314533 | + | 0.544786i | ||||
\(346\) | 210.522 | + | 280.453i | 0.608446 | + | 0.810558i | ||||
\(347\) | −150.609 | − | 86.9544i | −0.434033 | − | 0.250589i | 0.267030 | − | 0.963688i | \(-0.413958\pi\) |
−0.701063 | + | 0.713099i | \(0.747291\pi\) | |||||||
\(348\) | −111.554 | + | 106.929i | −0.320556 | + | 0.307268i | ||||
\(349\) | −148.499 | −0.425500 | −0.212750 | − | 0.977107i | \(-0.568242\pi\) | ||||
−0.212750 | + | 0.977107i | \(0.568242\pi\) | |||||||
\(350\) | −38.0258 | − | 314.516i | −0.108645 | − | 0.898616i | ||||
\(351\) | −20.2806 | + | 11.7090i | −0.0577795 | + | 0.0333590i | ||||
\(352\) | 36.2729 | − | 75.9411i | 0.103048 | − | 0.215742i | ||||
\(353\) | −348.424 | −0.987037 | −0.493519 | − | 0.869735i | \(-0.664289\pi\) | ||||
−0.493519 | + | 0.869735i | \(0.664289\pi\) | |||||||
\(354\) | 283.232 | − | 34.2435i | 0.800091 | − | 0.0967331i | ||||
\(355\) | −116.932 | + | 67.5105i | −0.329385 | + | 0.190170i | ||||
\(356\) | 136.089 | − | 468.040i | 0.382272 | − | 1.31472i | ||||
\(357\) | 159.967 | + | 277.071i | 0.448086 | + | 0.776108i | ||||
\(358\) | 138.300 | + | 59.0077i | 0.386312 | + | 0.164826i | ||||
\(359\) | −444.774 | − | 256.791i | −1.23893 | − | 0.715294i | −0.270051 | − | 0.962846i | \(-0.587041\pi\) |
−0.968875 | + | 0.247552i | \(0.920374\pi\) | |||||||
\(360\) | 142.075 | − | 53.6326i | 0.394653 | − | 0.148979i | ||||
\(361\) | 306.639 | + | 190.509i | 0.849415 | + | 0.527725i | ||||
\(362\) | 204.112 | − | 24.6777i | 0.563845 | − | 0.0681704i | ||||
\(363\) | 191.137 | + | 110.353i | 0.526548 | + | 0.304003i | ||||
\(364\) | −43.1808 | − | 12.5554i | −0.118629 | − | 0.0344928i | ||||
\(365\) | 57.4474 | + | 99.5018i | 0.157390 | + | 0.272608i | ||||
\(366\) | 231.928 | + | 98.9556i | 0.633683 | + | 0.270370i | ||||
\(367\) | −169.780 | + | 98.0228i | −0.462617 | + | 0.267092i | −0.713144 | − | 0.701018i | \(-0.752729\pi\) |
0.250527 | + | 0.968110i | \(0.419396\pi\) | |||||||
\(368\) | 230.115 | + | 440.637i | 0.625312 | + | 1.19738i | ||||
\(369\) | −110.177 | −0.298584 | ||||||||
\(370\) | −268.512 | − | 357.705i | −0.725708 | − | 0.966772i | ||||
\(371\) | −219.631 | + | 126.804i | −0.591996 | + | 0.341789i | ||||
\(372\) | 211.158 | − | 51.8166i | 0.567630 | − | 0.139292i | ||||
\(373\) | 425.298 | 1.14021 | 0.570105 | − | 0.821572i | \(-0.306903\pi\) | ||||
0.570105 | + | 0.821572i | \(0.306903\pi\) | |||||||
\(374\) | −52.5375 | + | 39.4373i | −0.140475 | + | 0.105447i | ||||
\(375\) | −223.605 | − | 129.098i | −0.596279 | − | 0.344262i | ||||
\(376\) | −259.242 | + | 316.521i | −0.689474 | + | 0.841811i | ||||
\(377\) | −8.47691 | + | 14.6824i | −0.0224852 | + | 0.0389455i | ||||
\(378\) | −286.658 | + | 671.857i | −0.758354 | + | 1.77740i | ||||
\(379\) | 23.4489i | 0.0618705i | 0.999521 | + | 0.0309353i | \(0.00984857\pi\) | ||||
−0.999521 | + | 0.0309353i | \(0.990151\pi\) | |||||||
\(380\) | 274.224 | + | 10.2396i | 0.721641 | + | 0.0269462i | ||||
\(381\) | −446.873 | −1.17290 | ||||||||
\(382\) | 271.543 | + | 115.858i | 0.710844 | + | 0.303292i | ||||
\(383\) | −62.2303 | − | 35.9287i | −0.162481 | − | 0.0938085i | 0.416555 | − | 0.909111i | \(-0.363237\pi\) |
−0.579036 | + | 0.815302i | \(0.696571\pi\) | |||||||
\(384\) | −50.4012 | + | 242.446i | −0.131253 | + | 0.631370i | ||||
\(385\) | 62.8709 | − | 108.896i | 0.163301 | − | 0.282846i | ||||
\(386\) | −219.318 | − | 292.170i | −0.568181 | − | 0.756918i | ||||
\(387\) | 145.603i | 0.376234i | ||||||||
\(388\) | 79.0797 | − | 19.4055i | 0.203814 | − | 0.0500143i | ||||
\(389\) | −119.182 | − | 206.429i | −0.306380 | − | 0.530666i | 0.671188 | − | 0.741288i | \(-0.265785\pi\) |
−0.977568 | + | 0.210622i | \(0.932451\pi\) | |||||||
\(390\) | −9.48617 | + | 7.12080i | −0.0243235 | + | 0.0182585i | ||||
\(391\) | − | 388.027i | − | 0.992396i | ||||||
\(392\) | −945.549 | + | 356.940i | −2.41211 | + | 0.910560i | ||||
\(393\) | 81.3566 | + | 140.914i | 0.207014 | + | 0.358559i | ||||
\(394\) | 55.9080 | − | 131.035i | 0.141899 | − | 0.332576i | ||||
\(395\) | −296.765 | + | 171.337i | −0.751303 | + | 0.433765i | ||||
\(396\) | −53.1069 | − | 15.4415i | −0.134108 | − | 0.0389938i | ||||
\(397\) | 49.3584 | − | 85.4912i | 0.124328 | − | 0.215343i | −0.797142 | − | 0.603792i | \(-0.793656\pi\) |
0.921470 | + | 0.388449i | \(0.126989\pi\) | |||||||
\(398\) | −30.2127 | − | 249.893i | −0.0759114 | − | 0.627872i | ||||
\(399\) | −349.680 | + | 338.557i | −0.876392 | + | 0.848514i | ||||
\(400\) | −169.661 | + | 88.6024i | −0.424152 | + | 0.221506i | ||||
\(401\) | −43.0056 | + | 74.4879i | −0.107246 | + | 0.185755i | −0.914654 | − | 0.404239i | \(-0.867537\pi\) |
0.807408 | + | 0.589994i | \(0.200870\pi\) | |||||||
\(402\) | 37.9260 | − | 88.8894i | 0.0943433 | − | 0.221118i | ||||
\(403\) | 20.6588 | − | 11.9273i | 0.0512624 | − | 0.0295964i | ||||
\(404\) | −138.555 | + | 476.522i | −0.342958 | + | 1.17951i | ||||
\(405\) | 10.9136 | + | 18.9029i | 0.0269471 | + | 0.0466738i | ||||
\(406\) | 63.4740 | + | 525.001i | 0.156340 | + | 1.29311i | ||||
\(407\) | 162.892i | 0.400226i | ||||||||
\(408\) | 122.477 | − | 149.538i | 0.300189 | − | 0.366514i | ||||
\(409\) | 179.889 | + | 311.578i | 0.439827 | + | 0.761803i | 0.997676 | − | 0.0681394i | \(-0.0217063\pi\) |
−0.557848 | + | 0.829943i | \(0.688373\pi\) | |||||||
\(410\) | −150.246 | + | 18.1651i | −0.366453 | + | 0.0443052i | ||||
\(411\) | − | 361.309i | − | 0.879097i | ||||||
\(412\) | 203.853 | − | 195.403i | 0.494789 | − | 0.474278i | ||||
\(413\) | 488.174 | − | 845.543i | 1.18202 | − | 2.04732i | ||||
\(414\) | 261.262 | − | 196.116i | 0.631067 | − | 0.473711i | ||||
\(415\) | 70.9281 | + | 40.9504i | 0.170911 | + | 0.0986756i | ||||
\(416\) | 2.11687 | + | 27.0862i | 0.00508864 | + | 0.0651110i | ||||
\(417\) | −218.972 | −0.525113 | ||||||||
\(418\) | −77.6319 | − | 62.9374i | −0.185722 | − | 0.150568i | ||||
\(419\) | 636.788i | 1.51978i | 0.650052 | + | 0.759890i | \(0.274747\pi\) | ||||
−0.650052 | + | 0.759890i | \(0.725253\pi\) | |||||||
\(420\) | −103.299 | + | 355.268i | −0.245950 | + | 0.845877i | ||||
\(421\) | −54.5448 | + | 94.4743i | −0.129560 | + | 0.224405i | −0.923506 | − | 0.383584i | \(-0.874690\pi\) |
0.793946 | + | 0.607988i | \(0.208023\pi\) | |||||||
\(422\) | 190.948 | − | 143.335i | 0.452483 | − | 0.339657i | ||||
\(423\) | 232.847 | + | 134.434i | 0.550466 | + | 0.317812i | ||||
\(424\) | 118.537 | + | 97.0860i | 0.279568 | + | 0.228976i | ||||
\(425\) | 149.404 | 0.351539 | ||||||||
\(426\) | −143.641 | + | 17.3666i | −0.337186 | + | 0.0407667i | ||||
\(427\) | 747.329 | − | 431.471i | 1.75019 | − | 1.01047i | ||||
\(428\) | −448.157 | + | 429.579i | −1.04710 | + | 1.00369i | ||||
\(429\) | 4.31981 | 0.0100695 | ||||||||
\(430\) | 24.0057 | + | 198.554i | 0.0558273 | + | 0.461754i | ||||
\(431\) | −299.091 | + | 172.680i | −0.693947 | + | 0.400650i | −0.805089 | − | 0.593154i | \(-0.797882\pi\) |
0.111142 | + | 0.993805i | \(0.464549\pi\) | |||||||
\(432\) | 440.921 | + | 18.6727i | 1.02065 | + | 0.0432238i | ||||
\(433\) | 48.9951 | + | 84.8620i | 0.113153 | + | 0.195986i | 0.917040 | − | 0.398796i | \(-0.130572\pi\) |
−0.803887 | + | 0.594782i | \(0.797238\pi\) | |||||||
\(434\) | 292.003 | − | 684.385i | 0.672818 | − | 1.57692i | ||||
\(435\) | 120.799 | + | 69.7435i | 0.277699 | + | 0.160330i | ||||
\(436\) | −7.63813 | + | 1.87434i | −0.0175186 | + | 0.00429894i | ||||
\(437\) | 572.593 | − | 143.550i | 1.31028 | − | 0.328489i | ||||
\(438\) | 14.7779 | + | 122.230i | 0.0337396 | + | 0.279064i | ||||
\(439\) | −214.684 | − | 123.948i | −0.489030 | − | 0.282342i | 0.235142 | − | 0.971961i | \(-0.424445\pi\) |
−0.724172 | + | 0.689619i | \(0.757778\pi\) | |||||||
\(440\) | −74.9663 | − | 12.3014i | −0.170378 | − | 0.0279577i | ||||
\(441\) | 332.090 | + | 575.196i | 0.753037 | + | 1.30430i | ||||
\(442\) | 8.32250 | − | 19.5059i | 0.0188292 | − | 0.0441311i | ||||
\(443\) | 269.414 | − | 155.546i | 0.608157 | − | 0.351120i | −0.164087 | − | 0.986446i | \(-0.552468\pi\) |
0.772244 | + | 0.635326i | \(0.219134\pi\) | |||||||
\(444\) | −114.226 | − | 465.482i | −0.257265 | − | 1.04838i | ||||
\(445\) | −439.987 | −0.988735 | ||||||||
\(446\) | −532.064 | + | 399.394i | −1.19297 | + | 0.895502i | ||||
\(447\) | −68.1257 | + | 39.3324i | −0.152406 | + | 0.0879919i | ||||
\(448\) | 560.012 | + | 636.048i | 1.25003 | + | 1.41975i | ||||
\(449\) | −689.669 | −1.53601 | −0.768005 | − | 0.640444i | \(-0.778751\pi\) | ||||
−0.768005 | + | 0.640444i | \(0.778751\pi\) | |||||||
\(450\) | 75.5117 | + | 100.595i | 0.167804 | + | 0.223545i | ||||
\(451\) | 47.7323 | + | 27.5583i | 0.105837 | + | 0.0611048i | ||||
\(452\) | −337.286 | − | 351.873i | −0.746209 | − | 0.778479i | ||||
\(453\) | 53.9640 | − | 93.4684i | 0.119126 | − | 0.206332i | ||||
\(454\) | −495.789 | − | 211.536i | −1.09205 | − | 0.465938i | ||||
\(455\) | 40.5927i | 0.0892147i | ||||||||
\(456\) | 265.976 | + | 125.412i | 0.583280 | + | 0.275027i | ||||
\(457\) | −303.667 | −0.664480 | −0.332240 | − | 0.943195i | \(-0.607804\pi\) | ||||
−0.332240 | + | 0.943195i | \(0.607804\pi\) | |||||||
\(458\) | 98.8842 | − | 231.761i | 0.215904 | − | 0.506028i | ||||
\(459\) | −298.328 | − | 172.240i | −0.649952 | − | 0.375250i | ||||
\(460\) | 323.941 | − | 310.513i | 0.704220 | − | 0.675028i | ||||
\(461\) | −355.189 | + | 615.206i | −0.770475 | + | 1.33450i | 0.166828 | + | 0.985986i | \(0.446648\pi\) |
−0.937303 | + | 0.348516i | \(0.886686\pi\) | |||||||
\(462\) | 107.761 | − | 80.8911i | 0.233249 | − | 0.175089i | ||||
\(463\) | − | 423.953i | − | 0.915664i | −0.889039 | − | 0.457832i | \(-0.848626\pi\) | ||
0.889039 | − | 0.457832i | \(-0.151374\pi\) | |||||||
\(464\) | 283.204 | − | 147.898i | 0.610354 | − | 0.318747i | ||||
\(465\) | −98.1317 | − | 169.969i | −0.211036 | − | 0.365525i | ||||
\(466\) | 293.826 | + | 391.428i | 0.630527 | + | 0.839974i | ||||
\(467\) | − | 58.2823i | − | 0.124802i | −0.998051 | − | 0.0624008i | \(-0.980124\pi\) | ||
0.998051 | − | 0.0624008i | \(-0.0198757\pi\) | |||||||
\(468\) | 17.3399 | − | 4.25507i | 0.0370510 | − | 0.00909203i | ||||
\(469\) | −165.367 | − | 286.423i | −0.352594 | − | 0.610711i | ||||
\(470\) | 339.691 | + | 144.934i | 0.722748 | + | 0.308371i | ||||
\(471\) | 362.672 | − | 209.389i | 0.770004 | − | 0.444562i | ||||
\(472\) | −582.092 | − | 95.5167i | −1.23325 | − | 0.202366i | ||||
\(473\) | 36.4191 | − | 63.0796i | 0.0769959 | − | 0.133361i | ||||
\(474\) | −364.552 | + | 44.0753i | −0.769097 | + | 0.0929859i | ||||
\(475\) | 55.2718 | + | 220.469i | 0.116362 | + | 0.464145i | ||||
\(476\) | −157.649 | − | 642.436i | −0.331195 | − | 1.34965i | ||||
\(477\) | 50.3455 | − | 87.2010i | 0.105546 | − | 0.182811i | ||||
\(478\) | −559.775 | − | 238.837i | −1.17108 | − | 0.499658i | ||||
\(479\) | −734.439 | + | 424.029i | −1.53328 | + | 0.885238i | −0.534069 | + | 0.845441i | \(0.679338\pi\) |
−0.999208 | + | 0.0397964i | \(0.987329\pi\) | |||||||
\(480\) | 222.851 | − | 17.4165i | 0.464272 | − | 0.0362844i | ||||
\(481\) | −26.2929 | − | 45.5406i | −0.0546629 | − | 0.0946789i | ||||
\(482\) | 313.966 | − | 37.9593i | 0.651381 | − | 0.0787537i | ||||
\(483\) | 795.893i | 1.64781i | ||||||||
\(484\) | −315.776 | − | 329.432i | −0.652429 | − | 0.680644i | ||||
\(485\) | −36.7507 | − | 63.6541i | −0.0757747 | − | 0.131246i | ||||
\(486\) | −56.7844 | − | 469.671i | −0.116840 | − | 0.966400i | ||||
\(487\) | − | 351.483i | − | 0.721732i | −0.932618 | − | 0.360866i | \(-0.882481\pi\) | ||
0.932618 | − | 0.360866i | \(-0.117519\pi\) | |||||||
\(488\) | −403.341 | − | 330.351i | −0.826519 | − | 0.676949i | ||||
\(489\) | 201.037 | − | 348.206i | 0.411118 | − | 0.712077i | ||||
\(490\) | 547.694 | + | 729.626i | 1.11774 | + | 1.48903i | ||||
\(491\) | 553.288 | + | 319.441i | 1.12686 | + | 0.650592i | 0.943143 | − | 0.332387i | \(-0.107854\pi\) |
0.183716 | + | 0.982979i | \(0.441187\pi\) | |||||||
\(492\) | −155.725 | − | 45.2792i | −0.316515 | − | 0.0920309i | ||||
\(493\) | −249.391 | −0.505864 | ||||||||
\(494\) | 31.8629 | + | 5.06494i | 0.0644998 | + | 0.0102529i | ||||
\(495\) | 49.9239i | 0.100856i | ||||||||
\(496\) | −449.142 | − | 19.0209i | −0.905529 | − | 0.0383485i | ||||
\(497\) | −247.578 | + | 428.817i | −0.498144 | + | 0.862811i | ||||
\(498\) | 52.6876 | + | 70.1893i | 0.105798 | + | 0.140942i | ||||
\(499\) | 85.6129 | + | 49.4286i | 0.171569 | + | 0.0990553i | 0.583325 | − | 0.812239i | \(-0.301751\pi\) |
−0.411757 | + | 0.911294i | \(0.635085\pi\) | |||||||
\(500\) | 369.415 | + | 385.391i | 0.738830 | + | 0.770781i | ||||
\(501\) | 270.556 | 0.540033 | ||||||||
\(502\) | 65.9328 | + | 545.338i | 0.131340 | + | 1.08633i | ||||
\(503\) | −148.888 | + | 85.9607i | −0.296001 | + | 0.170896i | −0.640645 | − | 0.767837i | \(-0.721333\pi\) |
0.344644 | + | 0.938733i | \(0.388000\pi\) | |||||||
\(504\) | 352.878 | − | 430.846i | 0.700155 | − | 0.854852i | ||||
\(505\) | 447.961 | 0.887051 | ||||||||
\(506\) | −162.241 | + | 19.6153i | −0.320633 | + | 0.0387654i | ||||
\(507\) | 281.938 | − | 162.777i | 0.556091 | − | 0.321059i | ||||
\(508\) | 887.214 | + | 257.969i | 1.74648 | + | 0.507814i | ||||
\(509\) | 292.811 | + | 507.164i | 0.575268 | + | 0.996393i | 0.996012 | + | 0.0892141i | \(0.0284355\pi\) |
−0.420745 | + | 0.907179i | \(0.638231\pi\) | |||||||
\(510\) | −160.484 | − | 68.4731i | −0.314675 | − | 0.134261i | ||||
\(511\) | 364.898 | + | 210.674i | 0.714085 | + | 0.412277i | ||||
\(512\) | 240.024 | − | 452.253i | 0.468797 | − | 0.883306i | ||||
\(513\) | 143.800 | − | 503.948i | 0.280312 | − | 0.982354i | ||||
\(514\) | −166.823 | + | 20.1694i | −0.324559 | + | 0.0392400i | ||||
\(515\) | −220.749 | − | 127.449i | −0.428638 | − | 0.247474i | ||||
\(516\) | −59.8378 | + | 205.795i | −0.115965 | + | 0.398828i | ||||
\(517\) | −67.2511 | − | 116.482i | −0.130080 | − | 0.225304i | ||||
\(518\) | −1508.67 | − | 643.697i | −2.91249 | − | 1.24266i | ||||
\(519\) | 293.764 | − | 169.605i | 0.566020 | − | 0.326792i | ||||
\(520\) | 22.9443 | − | 8.66137i | 0.0441237 | − | 0.0166565i | ||||
\(521\) | 429.700 | 0.824760 | 0.412380 | − | 0.911012i | \(-0.364698\pi\) | ||||
0.412380 | + | 0.911012i | \(0.364698\pi\) | |||||||
\(522\) | −126.047 | − | 167.917i | −0.241469 | − | 0.321680i | ||||
\(523\) | −101.561 | + | 58.6364i | −0.194190 | + | 0.112116i | −0.593942 | − | 0.804508i | \(-0.702429\pi\) |
0.399753 | + | 0.916623i | \(0.369096\pi\) | |||||||
\(524\) | −80.1777 | − | 326.733i | −0.153011 | − | 0.623536i | ||||
\(525\) | −306.447 | −0.583709 | ||||||||
\(526\) | 598.401 | − | 449.190i | 1.13764 | − | 0.853974i | ||||
\(527\) | 303.891 | + | 175.451i | 0.576642 | + | 0.332925i | ||||
\(528\) | −68.7156 | − | 43.6503i | −0.130143 | − | 0.0826710i | ||||
\(529\) | 218.144 | − | 377.837i | 0.412371 | − | 0.714248i | ||||
\(530\) | 54.2778 | − | 127.214i | 0.102411 | − | 0.240027i | ||||
\(531\) | 387.645i | 0.730028i | ||||||||
\(532\) | 889.690 | − | 470.303i | 1.67235 | − | 0.884027i | ||||
\(533\) | −17.7930 | −0.0333828 | ||||||||
\(534\) | −433.663 | − | 185.029i | −0.812102 | − | 0.346496i | ||||
\(535\) | 485.300 | + | 280.188i | 0.907103 | + | 0.523716i | ||||
\(536\) | −126.611 | + | 154.586i | −0.236215 | + | 0.288406i | ||||
\(537\) | 72.7228 | − | 125.960i | 0.135424 | − | 0.234562i | ||||
\(538\) | −460.440 | − | 613.388i | −0.855836 | − | 1.14013i | ||||
\(539\) | − | 332.257i | − | 0.616433i | ||||||
\(540\) | −94.9395 | − | 386.889i | −0.175814 | − | 0.716461i | ||||
\(541\) | −314.473 | − | 544.683i | −0.581281 | − | 1.00681i | −0.995328 | − | 0.0965527i | \(-0.969218\pi\) |
0.414047 | − | 0.910256i | \(-0.364115\pi\) | |||||||
\(542\) | 426.715 | − | 320.314i | 0.787298 | − | 0.590986i | ||||
\(543\) | − | 198.876i | − | 0.366254i | ||||||
\(544\) | −329.488 | + | 226.186i | −0.605677 | + | 0.415784i | ||||
\(545\) | 3.54967 | + | 6.14821i | 0.00651316 | + | 0.0112811i | ||||
\(546\) | −17.0705 | + | 40.0092i | −0.0312647 | + | 0.0732769i | ||||
\(547\) | 518.367 | − | 299.279i | 0.947654 | − | 0.547128i | 0.0553026 | − | 0.998470i | \(-0.482388\pi\) |
0.892351 | + | 0.451341i | \(0.149054\pi\) | |||||||
\(548\) | −208.575 | + | 717.336i | −0.380611 | + | 1.30901i | ||||
\(549\) | −171.309 | + | 296.716i | −0.312038 | + | 0.540466i | ||||
\(550\) | −7.55259 | − | 62.4684i | −0.0137320 | − | 0.113579i | ||||
\(551\) | −92.2617 | − | 368.014i | −0.167444 | − | 0.667903i | ||||
\(552\) | 449.865 | − | 169.822i | 0.814973 | − | 0.307648i | ||||
\(553\) | −628.336 | + | 1088.31i | −1.13623 | + | 1.96801i | ||||
\(554\) | 1.92940 | − | 4.52205i | 0.00348267 | − | 0.00816254i | ||||
\(555\) | −374.683 | + | 216.324i | −0.675105 | + | 0.389772i | ||||
\(556\) | 434.743 | + | 126.407i | 0.781912 | + | 0.227351i | ||||
\(557\) | 80.6000 | + | 139.603i | 0.144704 | + | 0.250634i | 0.929262 | − | 0.369420i | \(-0.120444\pi\) |
−0.784559 | + | 0.620055i | \(0.787110\pi\) | |||||||
\(558\) | 35.4593 | + | 293.288i | 0.0635472 | + | 0.525606i | ||||
\(559\) | 23.5140i | 0.0420644i | ||||||||
\(560\) | 410.176 | − | 645.711i | 0.732457 | − | 1.15306i | ||||
\(561\) | 31.7722 | + | 55.0311i | 0.0566350 | + | 0.0980947i | ||||
\(562\) | −96.5878 | + | 11.6777i | −0.171864 | + | 0.0207789i | ||||
\(563\) | − | 339.756i | − | 0.603475i | −0.953391 | − | 0.301738i | \(-0.902433\pi\) | ||
0.953391 | − | 0.301738i | \(-0.0975666\pi\) | |||||||
\(564\) | 273.859 | + | 285.702i | 0.485566 | + | 0.506564i | ||||
\(565\) | −219.991 | + | 381.036i | −0.389365 | + | 0.674400i | ||||
\(566\) | −621.248 | + | 466.340i | −1.09761 | + | 0.823922i | ||||
\(567\) | 69.3215 | + | 40.0228i | 0.122260 | + | 0.0705869i | ||||
\(568\) | 295.208 | + | 48.4413i | 0.519732 | + | 0.0852840i | ||||
\(569\) | 142.791 | 0.250950 | 0.125475 | − | 0.992097i | \(-0.459955\pi\) | ||||
0.125475 | + | 0.992097i | \(0.459955\pi\) | |||||||
\(570\) | 41.6716 | − | 262.151i | 0.0731081 | − | 0.459913i | ||||
\(571\) | 478.509i | 0.838020i | 0.907982 | + | 0.419010i | \(0.137623\pi\) | ||||
−0.907982 | + | 0.419010i | \(0.862377\pi\) | |||||||
\(572\) | −8.57647 | − | 2.49372i | −0.0149938 | − | 0.00435966i | ||||
\(573\) | 142.786 | − | 247.313i | 0.249191 | − | 0.431612i | ||||
\(574\) | −443.862 | + | 333.185i | −0.773279 | + | 0.580463i | ||||
\(575\) | 321.876 | + | 185.835i | 0.559785 | + | 0.323192i | ||||
\(576\) | −318.823 | − | 107.528i | −0.553512 | − | 0.186680i | ||||
\(577\) | 465.870 | 0.807400 | 0.403700 | − | 0.914891i | \(-0.367724\pi\) | ||||
0.403700 | + | 0.914891i | \(0.367724\pi\) | |||||||
\(578\) | −264.118 | + | 31.9326i | −0.456952 | + | 0.0552467i | ||||
\(579\) | −306.038 | + | 176.691i | −0.528563 | + | 0.305166i | ||||
\(580\) | −199.571 | − | 208.202i | −0.344089 | − | 0.358969i | ||||
\(581\) | 300.350 | 0.516954 | ||||||||
\(582\) | −9.45387 | − | 78.1941i | −0.0162438 | − | 0.134354i | ||||
\(583\) | −43.6225 | + | 25.1855i | −0.0748242 | + | 0.0431998i | ||||
\(584\) | 41.2206 | − | 251.204i | 0.0705833 | − | 0.430144i | ||||
\(585\) | −8.05836 | − | 13.9575i | −0.0137750 | − | 0.0238590i | ||||
\(586\) | 238.001 | − | 557.817i | 0.406145 | − | 0.951907i | ||||
\(587\) | 73.8865 | + | 42.6584i | 0.125871 | + | 0.0726719i | 0.561614 | − | 0.827400i | \(-0.310181\pi\) |
−0.435742 | + | 0.900072i | \(0.643514\pi\) | |||||||
\(588\) | 232.991 | + | 949.462i | 0.396243 | + | 1.61473i | ||||
\(589\) | −146.481 | + | 513.345i | −0.248695 | + | 0.871553i | ||||
\(590\) | 63.9116 | + | 528.620i | 0.108325 | + | 0.895966i | ||||
\(591\) | −119.343 | − | 68.9027i | −0.201934 | − | 0.116587i | ||||
\(592\) | −41.9300 | + | 990.099i | −0.0708277 | + | 1.67246i | ||||
\(593\) | −183.086 | − | 317.114i | −0.308745 | − | 0.534762i | 0.669343 | − | 0.742953i | \(-0.266576\pi\) |
−0.978088 | + | 0.208192i | \(0.933242\pi\) | |||||||
\(594\) | −56.9354 | + | 133.443i | −0.0958508 | + | 0.224651i | ||||
\(595\) | −517.120 | + | 298.559i | −0.869110 | + | 0.501781i | ||||
\(596\) | 157.961 | − | 38.7625i | 0.265035 | − | 0.0650377i | ||||
\(597\) | −243.482 | −0.407843 | ||||||||
\(598\) | 42.1923 | − | 31.6717i | 0.0705557 | − | 0.0529627i | ||||
\(599\) | 72.7772 | − | 42.0179i | 0.121498 | − | 0.0701468i | −0.438019 | − | 0.898966i | \(-0.644320\pi\) |
0.559517 | + | 0.828819i | \(0.310987\pi\) | |||||||
\(600\) | 65.3875 | + | 173.214i | 0.108979 | + | 0.288690i | ||||
\(601\) | 414.461 | 0.689620 | 0.344810 | − | 0.938673i | \(-0.387943\pi\) | ||||
0.344810 | + | 0.938673i | \(0.387943\pi\) | |||||||
\(602\) | 440.314 | + | 586.577i | 0.731419 | + | 0.974380i | ||||
\(603\) | 113.720 | + | 65.6564i | 0.188591 | + | 0.108883i | ||||
\(604\) | −161.096 | + | 154.418i | −0.266716 | + | 0.255660i | ||||
\(605\) | −205.961 | + | 356.735i | −0.340432 | + | 0.589645i | ||||
\(606\) | 441.522 | + | 188.382i | 0.728584 | + | 0.310861i | ||||
\(607\) | − | 449.401i | − | 0.740365i | −0.928959 | − | 0.370182i | \(-0.879295\pi\) | ||
0.928959 | − | 0.370182i | \(-0.120705\pi\) | |||||||
\(608\) | −455.666 | − | 402.533i | −0.749451 | − | 0.662060i | ||||
\(609\) | 511.533 | 0.839956 | ||||||||
\(610\) | −184.689 | + | 432.867i | −0.302769 | + | 0.709618i | ||||
\(611\) | 37.6035 | + | 21.7104i | 0.0615442 | + | 0.0355326i | ||||
\(612\) | 181.741 | + | 189.601i | 0.296963 | + | 0.309805i | ||||
\(613\) | −57.7740 | + | 100.068i | −0.0942480 | + | 0.163242i | −0.909294 | − | 0.416153i | \(-0.863378\pi\) |
0.815047 | + | 0.579396i | \(0.196711\pi\) | |||||||
\(614\) | 106.650 | − | 80.0567i | 0.173697 | − | 0.130386i | ||||
\(615\) | 146.392i | 0.238035i | ||||||||
\(616\) | −260.644 | + | 98.3916i | −0.423123 | + | 0.159727i | ||||
\(617\) | −232.155 | − | 402.104i | −0.376264 | − | 0.651708i | 0.614251 | − | 0.789110i | \(-0.289458\pi\) |
−0.990515 | + | 0.137402i | \(0.956125\pi\) | |||||||
\(618\) | −163.979 | − | 218.449i | −0.265338 | − | 0.353478i | ||||
\(619\) | 425.346i | 0.687150i | 0.939125 | + | 0.343575i | \(0.111638\pi\) | ||||
−0.939125 | + | 0.343575i | \(0.888362\pi\) | |||||||
\(620\) | 96.7098 | + | 394.103i | 0.155984 | + | 0.635650i | ||||
\(621\) | −428.478 | − | 742.145i | −0.689980 | − | 1.19508i | ||||
\(622\) | −619.883 | − | 264.482i | −0.996596 | − | 0.425213i | ||||
\(623\) | −1397.37 | + | 806.771i | −2.24297 | + | 1.29498i | ||||
\(624\) | 26.2569 | + | 1.11196i | 0.0420784 | + | 0.00178199i | ||||
\(625\) | 91.4130 | − | 158.332i | 0.146261 | − | 0.253331i | ||||
\(626\) | −408.196 | + | 49.3520i | −0.652070 | + | 0.0788370i | ||||
\(627\) | −69.4527 | + | 67.2434i | −0.110770 | + | 0.107246i | ||||
\(628\) | −840.917 | + | 206.355i | −1.33904 | + | 0.328590i | ||||
\(629\) | 386.768 | − | 669.902i | 0.614894 | − | 1.06503i | ||||
\(630\) | −462.385 | − | 197.283i | −0.733944 | − | 0.313148i | ||||
\(631\) | 713.017 | − | 411.661i | 1.12998 | − | 0.652394i | 0.186050 | − | 0.982540i | \(-0.440431\pi\) |
0.943930 | + | 0.330147i | \(0.107098\pi\) | |||||||
\(632\) | 749.219 | + | 122.941i | 1.18547 | + | 0.194527i | ||||
\(633\) | −115.476 | − | 200.011i | −0.182427 | − | 0.315973i | ||||
\(634\) | −1127.63 | + | 136.334i | −1.77860 | + | 0.215038i | ||||
\(635\) | − | 834.037i | − | 1.31344i | ||||||
\(636\) | 106.995 | − | 102.560i | 0.168232 | − | 0.161258i | ||||
\(637\) | 53.6306 | + | 92.8909i | 0.0841925 | + | 0.145826i | ||||
\(638\) | 12.6071 | + | 104.275i | 0.0197603 | + | 0.163440i | ||||
\(639\) | − | 196.594i | − | 0.307659i | ||||||
\(640\) | −452.498 | − | 94.0680i | −0.707028 | − | 0.146981i | ||||
\(641\) | −121.499 | + | 210.442i | −0.189545 | + | 0.328302i | −0.945099 | − | 0.326785i | \(-0.894035\pi\) |
0.755553 | + | 0.655087i | \(0.227368\pi\) | |||||||
\(642\) | 360.496 | + | 480.245i | 0.561521 | + | 0.748046i | ||||
\(643\) | −759.987 | − | 438.779i | −1.18194 | − | 0.682393i | −0.225477 | − | 0.974248i | \(-0.572394\pi\) |
−0.956462 | + | 0.291855i | \(0.905727\pi\) | |||||||
\(644\) | 459.450 | − | 1580.15i | 0.713432 | − | 2.45365i | ||||
\(645\) | 193.461 | 0.299939 | ||||||||
\(646\) | 169.828 | + | 443.162i | 0.262892 | + | 0.686009i | ||||
\(647\) | 242.955i | 0.375510i | 0.982216 | + | 0.187755i | \(0.0601210\pi\) | ||||
−0.982216 | + | 0.187755i | \(0.939879\pi\) | |||||||
\(648\) | 7.83090 | − | 47.7226i | 0.0120847 | − | 0.0736459i | ||||
\(649\) | 96.9601 | − | 167.940i | 0.149399 | − | 0.258767i | ||||
\(650\) | 12.1947 | + | 16.2455i | 0.0187611 | + | 0.0249931i | ||||
\(651\) | −623.319 | − | 359.873i | −0.957479 | − | 0.552801i | ||||
\(652\) | −600.146 | + | 575.268i | −0.920469 | + | 0.882313i | ||||
\(653\) | −350.922 | −0.537400 | −0.268700 | − | 0.963224i | \(-0.586594\pi\) | ||||
−0.268700 | + | 0.963224i | \(0.586594\pi\) | |||||||
\(654\) | 0.913128 | + | 7.55259i | 0.00139622 | + | 0.0115483i | ||||
\(655\) | −262.999 | + | 151.843i | −0.401525 | + | 0.231821i | ||||
\(656\) | 283.035 | + | 179.793i | 0.431457 | + | 0.274075i | ||||
\(657\) | −167.290 | −0.254627 | ||||||||
\(658\) | 1344.59 | − | 162.565i | 2.04345 | − | 0.247059i | ||||
\(659\) | −421.170 | + | 243.163i | −0.639105 | + | 0.368987i | −0.784270 | − | 0.620420i | \(-0.786962\pi\) |
0.145165 | + | 0.989408i | \(0.453629\pi\) | |||||||
\(660\) | −20.5170 | + | 70.5626i | −0.0310864 | + | 0.106913i | ||||
\(661\) | 25.5338 | + | 44.2258i | 0.0386290 | + | 0.0669074i | 0.884694 | − | 0.466173i | \(-0.154368\pi\) |
−0.846065 | + | 0.533081i | \(0.821034\pi\) | |||||||
\(662\) | 933.053 | + | 398.101i | 1.40944 | + | 0.601361i | ||||
\(663\) | −17.7655 | − | 10.2569i | −0.0267956 | − | 0.0154704i | ||||
\(664\) | −64.0865 | − | 169.768i | −0.0965158 | − | 0.255674i | ||||
\(665\) | −631.877 | − | 652.638i | −0.950192 | − | 0.981411i | ||||
\(666\) | 646.531 | − | 78.1673i | 0.970767 | − | 0.117368i | ||||
\(667\) | −537.287 | − | 310.203i | −0.805528 | − | 0.465072i | ||||
\(668\) | −537.158 | − | 156.186i | −0.804129 | − | 0.233811i | ||||
\(669\) | 321.767 | + | 557.317i | 0.480968 | + | 0.833060i | ||||
\(670\) | 165.902 | + | 70.7845i | 0.247615 | + | 0.105649i | ||||
\(671\) | 148.433 | − | 85.6977i | 0.221211 | − | 0.127716i | ||||
\(672\) | 675.823 | − | 463.938i | 1.00569 | − | 0.690384i | ||||
\(673\) | 71.8554 | 0.106769 | 0.0533844 | − | 0.998574i | \(-0.482999\pi\) | ||||
0.0533844 | + | 0.998574i | \(0.482999\pi\) | |||||||
\(674\) | 221.408 | + | 294.954i | 0.328498 | + | 0.437618i | ||||
\(675\) | 285.752 | − | 164.979i | 0.423337 | − | 0.244414i | ||||
\(676\) | −653.722 | + | 160.418i | −0.967044 | + | 0.237305i | ||||
\(677\) | −692.124 | −1.02234 | −0.511170 | − | 0.859480i | \(-0.670788\pi\) | ||||
−0.511170 | + | 0.859480i | \(0.670788\pi\) | |||||||
\(678\) | −377.067 | + | 283.046i | −0.556146 | + | 0.417471i | ||||
\(679\) | −233.435 | − | 134.774i | −0.343793 | − | 0.198489i | ||||
\(680\) | 279.095 | + | 228.589i | 0.410434 | + | 0.336160i | ||||
\(681\) | −260.703 | + | 451.551i | −0.382824 | + | 0.663070i | ||||
\(682\) | 57.9970 | − | 135.931i | 0.0850396 | − | 0.199312i | ||||
\(683\) | − | 916.976i | − | 1.34257i | −0.741199 | − | 0.671286i | \(-0.765742\pi\) | ||
0.741199 | − | 0.671286i | \(-0.234258\pi\) | |||||||
\(684\) | −212.550 | + | 338.329i | −0.310745 | + | 0.494633i | ||||
\(685\) | 674.342 | 0.984440 | ||||||||
\(686\) | 1883.74 | + | 803.726i | 2.74598 | + | 1.17161i | ||||
\(687\) | −211.081 | − | 121.868i | −0.307251 | − | 0.177391i | ||||
\(688\) | 237.602 | − | 374.040i | 0.345351 | − | 0.543662i | ||||
\(689\) | 8.13052 | − | 14.0825i | 0.0118005 | − | 0.0204390i | ||||
\(690\) | −260.578 | − | 347.136i | −0.377649 | − | 0.503095i | ||||
\(691\) | 693.870i | 1.00415i | 0.864823 | + | 0.502077i | \(0.167431\pi\) | ||||
−0.864823 | + | 0.502077i | \(0.832569\pi\) | |||||||
\(692\) | −681.144 | + | 167.147i | −0.984311 | + | 0.241543i | ||||
\(693\) | 91.5416 | + | 158.555i | 0.132095 | + | 0.228795i | ||||
\(694\) | 278.167 | − | 208.806i | 0.400817 | − | 0.300874i | ||||
\(695\) | − | 408.686i | − | 0.588037i | ||||||
\(696\) | −109.147 | − | 289.135i | −0.156821 | − | 0.415425i | ||||
\(697\) | −130.868 | − | 226.670i | −0.187759 | − | 0.325208i | ||||
\(698\) | 116.553 | − | 273.173i | 0.166982 | − | 0.391366i | ||||
\(699\) | 410.007 | − | 236.717i | 0.586562 | − | 0.338651i | ||||
\(700\) | 608.415 | + | 176.905i | 0.869164 | + | 0.252721i | ||||
\(701\) | −65.7537 | + | 113.889i | −0.0937999 | + | 0.162466i | −0.909107 | − | 0.416562i | \(-0.863235\pi\) |
0.815307 | + | 0.579029i | \(0.196568\pi\) | |||||||
\(702\) | −5.62166 | − | 46.4974i | −0.00800807 | − | 0.0662357i | ||||
\(703\) | 1131.63 | + | 322.907i | 1.60971 | + | 0.459327i | ||||
\(704\) | 111.228 | + | 126.330i | 0.157995 | + | 0.179447i | ||||
\(705\) | 178.621 | − | 309.381i | 0.253364 | − | 0.438839i | ||||
\(706\) | 273.469 | − | 640.946i | 0.387350 | − | 0.907856i | ||||
\(707\) | 1422.69 | − | 821.392i | 2.01229 | − | 1.16180i | ||||
\(708\) | −159.309 | + | 547.899i | −0.225012 | + | 0.773868i | ||||
\(709\) | 215.886 | + | 373.925i | 0.304493 | + | 0.527398i | 0.977148 | − | 0.212558i | \(-0.0681796\pi\) |
−0.672655 | + | 0.739956i | \(0.734846\pi\) | |||||||
\(710\) | −32.4128 | − | 268.090i | −0.0456518 | − | 0.377591i | ||||
\(711\) | − | 498.943i | − | 0.701748i | ||||||
\(712\) | 754.173 | + | 617.696i | 1.05923 | + | 0.867550i | ||||
\(713\) | 436.467 | + | 755.984i | 0.612156 | + | 1.06029i | ||||
\(714\) | −635.241 | + | 76.8023i | −0.889693 | + | 0.107566i | ||||
\(715\) | 8.06243i | 0.0112761i | ||||||||
\(716\) | −217.096 | + | 208.097i | −0.303207 | + | 0.290638i | ||||
\(717\) | −294.349 | + | 509.828i | −0.410529 | + | 0.711057i | ||||
\(718\) | 821.473 | − | 616.639i | 1.14411 | − | 0.858829i | ||||
\(719\) | −404.948 | − | 233.797i | −0.563211 | − | 0.325170i | 0.191223 | − | 0.981547i | \(-0.438755\pi\) |
−0.754433 | + | 0.656377i | \(0.772088\pi\) | |||||||
\(720\) | −12.8509 | + | 303.450i | −0.0178485 | + | 0.421459i | ||||
\(721\) | −934.776 | −1.29650 | ||||||||
\(722\) | −591.125 | + | 414.554i | −0.818733 | + | 0.574175i | ||||
\(723\) | − | 305.911i | − | 0.423114i | ||||||
\(724\) | −114.806 | + | 394.845i | −0.158572 | + | 0.545365i | ||||
\(725\) | 119.439 | − | 206.875i | 0.164744 | − | 0.285345i | ||||
\(726\) | −353.019 | + | 264.994i | −0.486253 | + | 0.365006i | ||||
\(727\) | 398.635 | + | 230.152i | 0.548329 | + | 0.316578i | 0.748448 | − | 0.663194i | \(-0.230800\pi\) |
−0.200119 | + | 0.979772i | \(0.564133\pi\) | |||||||
\(728\) | 56.9879 | − | 69.5791i | 0.0782801 | − | 0.0955758i | ||||
\(729\) | −512.028 | −0.702370 | ||||||||
\(730\) | −228.128 | + | 27.5813i | −0.312504 | + | 0.0377826i | ||||
\(731\) | −299.551 | + | 172.946i | −0.409782 | + | 0.236588i | ||||
\(732\) | −364.069 | + | 348.977i | −0.497362 | + | 0.476745i | ||||
\(733\) | 1375.87 | 1.87704 | 0.938520 | − | 0.345225i | \(-0.112197\pi\) | ||||
0.938520 | + | 0.345225i | \(0.112197\pi\) | |||||||
\(734\) | −47.0622 | − | 389.257i | −0.0641174 | − | 0.530322i | ||||
\(735\) | 764.257 | − | 441.244i | 1.03980 | − | 0.600332i | ||||
\(736\) | −991.189 | + | 77.4646i | −1.34672 | + | 0.105251i | ||||
\(737\) | −32.8448 | − | 56.8888i | −0.0445655 | − | 0.0771897i | ||||
\(738\) | 86.4755 | − | 202.678i | 0.117175 | − | 0.274631i | ||||
\(739\) | −948.158 | − | 547.419i | −1.28303 | − | 0.740757i | −0.305628 | − | 0.952151i | \(-0.598866\pi\) |
−0.977401 | + | 0.211394i | \(0.932200\pi\) | |||||||
\(740\) | 868.768 | − | 213.189i | 1.17401 | − | 0.288093i | ||||
\(741\) | 8.56332 | − | 30.0102i | 0.0115564 | − | 0.0404996i | ||||
\(742\) | −60.8803 | − | 503.548i | −0.0820489 | − | 0.678636i | ||||
\(743\) | 599.054 | + | 345.864i | 0.806264 | + | 0.465497i | 0.845657 | − | 0.533727i | \(-0.179209\pi\) |
−0.0393928 | + | 0.999224i | \(0.512542\pi\) | |||||||
\(744\) | −70.4132 | + | 429.108i | −0.0946414 | + | 0.576757i | ||||
\(745\) | −73.4094 | − | 127.149i | −0.0985361 | − | 0.170669i | ||||
\(746\) | −333.806 | + | 782.361i | −0.447461 | + | 1.04874i | ||||
\(747\) | −103.273 | + | 59.6248i | −0.138251 | + | 0.0798190i | ||||
\(748\) | −31.3119 | − | 127.599i | −0.0418608 | − | 0.170587i | ||||
\(749\) | 2055.04 | 2.74371 | ||||||||
\(750\) | 412.985 | − | 310.008i | 0.550647 | − | 0.413343i | ||||
\(751\) | −417.980 | + | 241.321i | −0.556564 | + | 0.321332i | −0.751765 | − | 0.659431i | \(-0.770797\pi\) |
0.195201 | + | 0.980763i | \(0.437464\pi\) | |||||||
\(752\) | −378.786 | − | 725.320i | −0.503704 | − | 0.964522i | ||||
\(753\) | 531.348 | 0.705641 | ||||||||
\(754\) | −20.3559 | − | 27.1176i | −0.0269972 | − | 0.0359651i | ||||
\(755\) | 174.448 | + | 100.718i | 0.231057 | + | 0.133401i | ||||
\(756\) | −1010.93 | − | 1054.65i | −1.33721 | − | 1.39504i | ||||
\(757\) | 429.714 | − | 744.287i | 0.567654 | − | 0.983206i | −0.429143 | − | 0.903236i | \(-0.641184\pi\) |
0.996797 | − | 0.0799692i | \(-0.0254822\pi\) | |||||||
\(758\) | −43.1357 | − | 18.4045i | −0.0569072 | − | 0.0242803i | ||||
\(759\) | 158.079i | 0.208272i | ||||||||
\(760\) | −234.067 | + | 496.413i | −0.307983 | + | 0.653175i | ||||
\(761\) | −301.943 | −0.396771 | −0.198386 | − | 0.980124i | \(-0.563570\pi\) | ||||
−0.198386 | + | 0.980124i | \(0.563570\pi\) | |||||||
\(762\) | 350.740 | − | 822.049i | 0.460288 | − | 1.07880i | ||||
\(763\) | 22.5470 | + | 13.0175i | 0.0295505 | + | 0.0170610i | ||||
\(764\) | −426.254 | + | 408.584i | −0.557924 | + | 0.534796i | ||||
\(765\) | 118.539 | − | 205.315i | 0.154952 | − | 0.268385i | ||||
\(766\) | 114.936 | − | 86.2766i | 0.150047 | − | 0.112633i | ||||
\(767\) | 62.6025i | 0.0816199i | ||||||||
\(768\) | −406.435 | − | 283.006i | −0.529212 | − | 0.368497i | ||||
\(769\) | −155.833 | − | 269.911i | −0.202644 | − | 0.350989i | 0.746736 | − | 0.665121i | \(-0.231620\pi\) |
−0.949379 | + | 0.314132i | \(0.898287\pi\) | |||||||
\(770\) | 150.974 | + | 201.124i | 0.196070 | + | 0.261200i | ||||
\(771\) | 162.544i | 0.210822i | ||||||||
\(772\) | 709.601 | − | 174.131i | 0.919173 | − | 0.225558i | ||||
\(773\) | −131.689 | − | 228.092i | −0.170361 | − | 0.295073i | 0.768185 | − | 0.640228i | \(-0.221160\pi\) |
−0.938546 | + | 0.345154i | \(0.887827\pi\) | |||||||
\(774\) | −267.845 | − | 114.280i | −0.346052 | − | 0.147648i | ||||
\(775\) | −291.081 | + | 168.056i | −0.375588 | + | 0.216846i | ||||
\(776\) | −26.3700 | + | 160.703i | −0.0339820 | + | 0.207091i | ||||
\(777\) | −793.312 | + | 1374.06i | −1.02099 | + | 1.76841i | ||||
\(778\) | 473.281 | − | 57.2209i | 0.608330 | − | 0.0735488i | ||||
\(779\) | 286.072 | − | 276.972i | 0.367229 | − | 0.355548i | ||||
\(780\) | −5.65366 | − | 23.0393i | −0.00724829 | − | 0.0295375i | ||||
\(781\) | −49.1733 | + | 85.1707i | −0.0629620 | + | 0.109053i | ||||
\(782\) | 713.798 | + | 304.553i | 0.912785 | + | 0.389453i | ||||
\(783\) | −476.988 | + | 275.389i | −0.609181 | + | 0.351711i | ||||
\(784\) | 85.5263 | − | 2019.54i | 0.109090 | − | 2.57595i | ||||
\(785\) | 390.800 | + | 676.885i | 0.497834 | + | 0.862274i | ||||
\(786\) | −323.074 | + | 39.0605i | −0.411035 | + | 0.0496952i | ||||
\(787\) | − | 394.183i | − | 0.500867i | −0.968134 | − | 0.250434i | \(-0.919427\pi\) | ||
0.968134 | − | 0.250434i | \(-0.0805732\pi\) | |||||||
\(788\) | 197.165 | + | 205.692i | 0.250210 | + | 0.261030i | ||||
\(789\) | −361.885 | − | 626.803i | −0.458663 | − | 0.794427i | ||||
\(790\) | −82.2615 | − | 680.394i | −0.104128 | − | 0.861259i | ||||
\(791\) | 1613.52i | 2.03985i | ||||||||
\(792\) | 70.0879 | − | 85.5736i | 0.0884948 | − | 0.108047i | ||||
\(793\) | −27.6655 | + | 47.9180i | −0.0348871 | + | 0.0604262i | ||||
\(794\) | 118.526 | + | 157.897i | 0.149277 | + | 0.198863i | ||||
\(795\) | −115.863 | − | 66.8936i | −0.145740 | − | 0.0841429i | ||||
\(796\) | 483.406 | + | 140.557i | 0.607294 | + | 0.176579i | ||||
\(797\) | −377.462 | −0.473603 | −0.236801 | − | 0.971558i | \(-0.576099\pi\) | ||||
−0.236801 | + | 0.971558i | \(0.576099\pi\) | |||||||
\(798\) | −348.340 | − | 908.982i | −0.436516 | − | 1.13908i | ||||
\(799\) | 638.720i | 0.799400i | ||||||||
\(800\) | −29.8266 | − | 381.643i | −0.0372833 | − | 0.477054i | ||||
\(801\) | 320.316 | − | 554.804i | 0.399895 | − | 0.692639i | ||||
\(802\) | −103.271 | − | 137.575i | −0.128767 | − | 0.171540i | ||||
\(803\) | 72.4751 | + | 41.8435i | 0.0902555 | + | 0.0521090i | ||||
\(804\) | 133.750 | + | 139.534i | 0.166356 | + | 0.173550i | ||||
\(805\) | −1485.44 | −1.84527 | ||||||||
\(806\) | 5.72649 | + | 47.3644i | 0.00710482 | + | 0.0587648i | ||||
\(807\) | −642.501 | + | 370.948i | −0.796160 | + | 0.459663i | ||||
\(808\) | −767.841 | − | 628.890i | −0.950299 | − | 0.778330i | ||||
\(809\) | −441.716 | −0.546002 | −0.273001 | − | 0.962014i | \(-0.588016\pi\) | ||||
−0.273001 | + | 0.962014i | \(0.588016\pi\) | |||||||
\(810\) | −43.3387 | + | 5.23977i | −0.0535046 | + | 0.00646885i | ||||
\(811\) | −162.617 | + | 93.8869i | −0.200514 | + | 0.115767i | −0.596895 | − | 0.802319i | \(-0.703599\pi\) |
0.396381 | + | 0.918086i | \(0.370266\pi\) | |||||||
\(812\) | −1015.59 | − | 295.296i | −1.25072 | − | 0.363665i | ||||
\(813\) | −258.058 | − | 446.969i | −0.317414 | − | 0.549777i | ||||
\(814\) | −299.649 | − | 127.850i | −0.368119 | − | 0.157064i | ||||
\(815\) | 649.886 | + | 375.212i | 0.797406 | + | 0.460383i | ||||
\(816\) | 178.954 | + | 342.672i | 0.219307 | + | 0.419941i | ||||
\(817\) | −366.026 | − | 378.052i | −0.448012 | − | 0.462732i | ||||
\(818\) | −714.356 | + | 86.3675i | −0.873295 | + | 0.105584i | ||||
\(819\) | −51.1856 | − | 29.5520i | −0.0624976 | − | 0.0360830i | ||||
\(820\) | 84.5084 | − | 290.643i | 0.103059 | − | 0.354443i | ||||
\(821\) | −401.485 | − | 695.392i | −0.489019 | − | 0.847006i | 0.510901 | − | 0.859640i | \(-0.329312\pi\) |
−0.999920 | + | 0.0126336i | \(0.995979\pi\) | |||||||
\(822\) | 664.649 | + | 283.582i | 0.808575 | + | 0.344991i | ||||
\(823\) | 250.060 | − | 144.372i | 0.303839 | − | 0.175422i | −0.340327 | − | 0.940307i | \(-0.610538\pi\) |
0.644166 | + | 0.764885i | \(0.277204\pi\) | |||||||
\(824\) | 199.455 | + | 528.366i | 0.242058 | + | 0.641221i | ||||
\(825\) | −60.8659 | −0.0737768 | ||||||||
\(826\) | 1172.27 | + | 1561.67i | 1.41921 | + | 1.89064i | ||||
\(827\) | −566.436 | + | 327.032i | −0.684929 | + | 0.395444i | −0.801709 | − | 0.597714i | \(-0.796076\pi\) |
0.116781 | + | 0.993158i | \(0.462743\pi\) | |||||||
\(828\) | 155.709 | + | 634.532i | 0.188055 | + | 0.766344i | ||||
\(829\) | −393.459 | −0.474619 | −0.237310 | − | 0.971434i | \(-0.576266\pi\) | ||||
−0.237310 | + | 0.971434i | \(0.576266\pi\) | |||||||
\(830\) | −131.000 | + | 98.3354i | −0.157832 | + | 0.118476i | ||||
\(831\) | −4.11855 | − | 2.37785i | −0.00495614 | − | 0.00286143i | ||||
\(832\) | −51.4881 | − | 17.3652i | −0.0618847 | − | 0.0208716i | ||||
\(833\) | −788.907 | + | 1366.43i | −0.947067 | + | 1.64037i | ||||
\(834\) | 171.866 | − | 402.811i | 0.206074 | − | 0.482987i | ||||
\(835\) | 504.962i | 0.604746i | ||||||||
\(836\) | 176.708 | − | 93.4104i | 0.211373 | − | 0.111735i | ||||
\(837\) | 774.967 | 0.925886 | ||||||||
\(838\) | −1171.41 | − | 499.799i | −1.39786 | − | 0.596419i | ||||
\(839\) | 918.791 | + | 530.464i | 1.09510 | + | 0.632257i | 0.934930 | − | 0.354832i | \(-0.115462\pi\) |
0.160172 | + | 0.987089i | \(0.448795\pi\) | |||||||
\(840\) | −572.460 | − | 468.866i | −0.681500 | − | 0.558173i | ||||
\(841\) | 221.128 | − | 383.004i | 0.262934 | − | 0.455415i | ||||
\(842\) | −130.980 | − | 174.489i | −0.155558 | − | 0.207231i | ||||
\(843\) | 94.1100i | 0.111637i | ||||||||
\(844\) | 113.803 | + | 463.760i | 0.134838 | + | 0.549479i | ||||
\(845\) | 303.804 | + | 526.205i | 0.359532 | + | 0.622727i | ||||
\(846\) | −430.056 | + | 322.822i | −0.508340 | + | 0.381586i | ||||
\(847\) | 1510.62i | 1.78350i | ||||||||
\(848\) | −271.632 | + | 141.855i | −0.320321 | + | 0.167282i | ||||
\(849\) | 375.702 | + | 650.734i | 0.442522 | + | 0.766471i | ||||
\(850\) | −117.264 | + | 274.838i | −0.137957 | + | 0.323338i | ||||
\(851\) | 1666.51 | − | 962.157i | 1.95829 | − | 1.13062i | ||||
\(852\) | 80.7935 | − | 277.867i | 0.0948280 | − | 0.326135i | ||||
\(853\) | −586.274 | + | 1015.46i | −0.687309 | + | 1.19045i | 0.285396 | + | 0.958410i | \(0.407875\pi\) |
−0.972705 | + | 0.232044i | \(0.925459\pi\) | |||||||
\(854\) | 207.155 | + | 1713.41i | 0.242571 | + | 2.00633i | ||||
\(855\) | 346.826 | + | 98.9660i | 0.405645 | + | 0.115750i | ||||
\(856\) | −438.489 | − | 1161.58i | −0.512253 | − | 1.35698i | ||||
\(857\) | 848.234 | − | 1469.19i | 0.989772 | − | 1.71434i | 0.371339 | − | 0.928497i | \(-0.378899\pi\) |
0.618433 | − | 0.785838i | \(-0.287768\pi\) | |||||||
\(858\) | −3.39051 | + | 7.94654i | −0.00395164 | + | 0.00926170i | ||||
\(859\) | −836.214 | + | 482.788i | −0.973474 | + | 0.562035i | −0.900294 | − | 0.435283i | \(-0.856648\pi\) |
−0.0731803 | + | 0.997319i | \(0.523315\pi\) | |||||||
\(860\) | −384.093 | − | 111.680i | −0.446620 | − | 0.129861i | ||||
\(861\) | 268.427 | + | 464.929i | 0.311762 | + | 0.539988i | ||||
\(862\) | −82.9063 | − | 685.727i | −0.0961790 | − | 0.795508i | ||||
\(863\) | 1093.67i | 1.26729i | 0.773625 | + | 0.633644i | \(0.218441\pi\) | ||||
−0.773625 | + | 0.633644i | \(0.781559\pi\) | |||||||
\(864\) | −380.417 | + | 796.444i | −0.440298 | + | 0.921810i | ||||
\(865\) | 316.548 | + | 548.278i | 0.365952 | + | 0.633847i | ||||
\(866\) | −194.564 | + | 23.5233i | −0.224669 | + | 0.0271631i | ||||
\(867\) | 257.343i | 0.296820i | ||||||||
\(868\) | 1029.78 | + | 1074.31i | 1.18638 | + | 1.23769i | ||||
\(869\) | −124.799 | + | 216.158i | −0.143612 | + | 0.248743i | ||||
\(870\) | −223.109 | + | 167.477i | −0.256448 | + | 0.192503i | ||||
\(871\) | 18.3652 | + | 10.6031i | 0.0210852 | + | 0.0121735i | ||||
\(872\) | 2.54702 | − | 15.5219i | 0.00292090 | − | 0.0178003i | ||||
\(873\) | 107.020 | 0.122589 | ||||||||
\(874\) | −185.346 | + | 1165.99i | −0.212066 | + | 1.33408i | ||||
\(875\) | − | 1767.22i | − | 2.01968i | ||||||
\(876\) | −236.448 | − | 68.7504i | −0.269918 | − | 0.0784822i | ||||
\(877\) | 608.081 | − | 1053.23i | 0.693365 | − | 1.20094i | −0.277364 | − | 0.960765i | \(-0.589461\pi\) |
0.970729 | − | 0.240178i | \(-0.0772059\pi\) | |||||||
\(878\) | 396.510 | − | 297.640i | 0.451606 | − | 0.338998i | ||||
\(879\) | −508.045 | − | 293.320i | −0.577980 | − | 0.333697i | ||||
\(880\) | 81.4682 | − | 128.250i | 0.0925775 | − | 0.145738i | ||||
\(881\) | 773.468 | 0.877943 | 0.438972 | − | 0.898501i | \(-0.355343\pi\) | ||||
0.438972 | + | 0.898501i | \(0.355343\pi\) | |||||||
\(882\) | −1318.75 | + | 159.441i | −1.49519 | + | 0.180772i | ||||
\(883\) | −663.015 | + | 382.792i | −0.750867 | + | 0.433513i | −0.826007 | − | 0.563660i | \(-0.809393\pi\) |
0.0751402 | + | 0.997173i | \(0.476060\pi\) | |||||||
\(884\) | 29.3502 | + | 30.6194i | 0.0332016 | + | 0.0346374i | ||||
\(885\) | 515.059 | 0.581988 | ||||||||
\(886\) | 74.6799 | + | 617.686i | 0.0842888 | + | 0.697163i | ||||
\(887\) | 143.412 | − | 82.7989i | 0.161682 | − | 0.0933471i | −0.416976 | − | 0.908918i | \(-0.636910\pi\) |
0.578658 | + | 0.815570i | \(0.303577\pi\) | |||||||
\(888\) | 945.933 | + | 155.220i | 1.06524 | + | 0.174798i | ||||
\(889\) | −1529.31 | − | 2648.84i | −1.72026 | − | 2.97958i | ||||
\(890\) | 345.335 | − | 809.381i | 0.388017 | − | 0.909417i | ||||
\(891\) | 13.7685 | + | 7.94924i | 0.0154528 | + | 0.00892170i | ||||
\(892\) | −317.105 | − | 1292.24i | −0.355499 | − | 1.44870i | ||||
\(893\) | −942.529 | + | 236.293i | −1.05546 | + | 0.264606i | ||||
\(894\) | −18.8840 | − | 156.192i | −0.0211231 | − | 0.174712i | ||||
\(895\) | 235.089 | + | 135.729i | 0.262669 | + | 0.151652i | ||||
\(896\) | −1609.59 | + | 530.957i | −1.79641 | + | 0.592586i | ||||
\(897\) | −25.5159 | − | 44.1949i | −0.0284459 | − | 0.0492697i | ||||
\(898\) | 541.304 | − | 1268.69i | 0.602788 | − | 1.41279i | ||||
\(899\) | 485.883 | − | 280.524i | 0.540470 | − | 0.312041i | ||||
\(900\) | −244.318 | + | 59.9537i | −0.271464 | + | 0.0666152i | ||||
\(901\) | 239.200 | 0.265483 | ||||||||
\(902\) | −88.1589 | + | 66.1766i | −0.0977372 | + | 0.0733665i | ||||
\(903\) | 614.418 | − | 354.734i | 0.680418 | − | 0.392840i | ||||
\(904\) | 912.017 | − | 344.282i | 1.00887 | − | 0.380843i | ||||
\(905\) | 371.179 | 0.410142 | ||||||||
\(906\) | 129.586 | + | 172.631i | 0.143030 | + | 0.190542i | ||||
\(907\) | 378.846 | + | 218.727i | 0.417691 | + | 0.241154i | 0.694089 | − | 0.719889i | \(-0.255807\pi\) |
−0.276398 | + | 0.961043i | \(0.589141\pi\) | |||||||
\(908\) | 778.264 | − | 746.003i | 0.857119 | − | 0.821589i | ||||
\(909\) | −326.121 | + | 564.859i | −0.358769 | + | 0.621407i | ||||
\(910\) | −74.6726 | − | 31.8602i | −0.0820578 | − | 0.0350112i | ||||
\(911\) | 695.069i | 0.762973i | 0.924374 | + | 0.381487i | \(0.124588\pi\) | ||||
−0.924374 | + | 0.381487i | \(0.875412\pi\) | |||||||
\(912\) | −439.461 | + | 390.845i | −0.481865 | + | 0.428558i | ||||
\(913\) | 59.6549 | 0.0653394 | ||||||||
\(914\) | 238.341 | − | 558.613i | 0.260767 | − | 0.611174i | ||||
\(915\) | 394.243 | + | 227.616i | 0.430867 | + | 0.248761i | ||||
\(916\) | 348.726 | + | 363.806i | 0.380705 | + | 0.397169i | ||||
\(917\) | −556.844 | + | 964.483i | −0.607246 | + | 1.05178i | ||||
\(918\) | 550.995 | − | 413.605i | 0.600212 | − | 0.450550i | ||||
\(919\) | − | 825.144i | − | 0.897872i | −0.893564 | − | 0.448936i | \(-0.851803\pi\) | ||
0.893564 | − | 0.448936i | \(-0.148197\pi\) | |||||||
\(920\) | 316.953 | + | 839.622i | 0.344514 | + | 0.912632i | ||||
\(921\) | −64.4968 | − | 111.712i | −0.0700291 | − | 0.121294i | ||||
\(922\) | −852.927 | − | 1136.25i | −0.925083 | − | 1.23238i | ||||
\(923\) | − | 31.7488i | − | 0.0343975i | ||||||
\(924\) | 64.2247 | + | 261.722i | 0.0695072 | + | 0.283249i | ||||
\(925\) | 370.465 | + | 641.664i | 0.400503 | + | 0.693691i | ||||
\(926\) | 779.885 | + | 332.750i | 0.842208 | + | 0.359341i | ||||
\(927\) | 321.416 | − | 185.569i | 0.346727 | − | 0.200183i | ||||
\(928\) | 49.7877 | + | 637.052i | 0.0536505 | + | 0.686479i | ||||
\(929\) | 190.313 | − | 329.632i | 0.204858 | − | 0.354825i | −0.745229 | − | 0.666808i | \(-0.767660\pi\) |
0.950087 | + | 0.311984i | \(0.100993\pi\) | |||||||
\(930\) | 389.689 | − | 47.1145i | 0.419021 | − | 0.0506607i | ||||
\(931\) | −2308.23 | − | 658.646i | −2.47930 | − | 0.707460i | ||||
\(932\) | −950.671 | + | 233.287i | −1.02003 | + | 0.250308i | ||||
\(933\) | −325.956 | + | 564.572i | −0.349363 | + | 0.605115i | ||||
\(934\) | 107.214 | + | 45.7443i | 0.114790 | + | 0.0489768i | ||||
\(935\) | −102.709 | + | 59.2992i | −0.109849 | + | 0.0634216i | ||||
\(936\) | −5.78217 | + | 35.2374i | −0.00617754 | + | 0.0376468i | ||||
\(937\) | 823.693 | + | 1426.68i | 0.879075 | + | 1.52260i | 0.852358 | + | 0.522959i | \(0.175172\pi\) |
0.0267171 | + | 0.999643i | \(0.491495\pi\) | |||||||
\(938\) | 656.685 | − | 79.3949i | 0.700090 | − | 0.0846428i | ||||
\(939\) | 397.724i | 0.423562i | ||||||||
\(940\) | −533.230 | + | 511.126i | −0.567266 | + | 0.543752i | ||||
\(941\) | −252.873 | − | 437.989i | −0.268728 | − | 0.465451i | 0.699805 | − | 0.714334i | \(-0.253270\pi\) |
−0.968534 | + | 0.248883i | \(0.919937\pi\) | |||||||
\(942\) | 100.531 | + | 831.499i | 0.106720 | + | 0.882696i | ||||
\(943\) | − | 651.116i | − | 0.690473i | ||||||
\(944\) | 632.578 | − | 995.823i | 0.670103 | − | 1.05490i | ||||
\(945\) | −659.367 | + | 1142.06i | −0.697743 | + | 1.20853i | ||||
\(946\) | 87.4542 | + | 116.505i | 0.0924463 | + | 0.123155i | ||||
\(947\) | −157.545 | − | 90.9588i | −0.166362 | − | 0.0960494i | 0.414507 | − | 0.910046i | \(-0.363954\pi\) |
−0.580870 | + | 0.813997i | \(0.697287\pi\) | |||||||
\(948\) | 205.049 | − | 705.208i | 0.216296 | − | 0.743890i | ||||
\(949\) | −27.0164 | −0.0284682 | ||||||||
\(950\) | −448.946 | − | 71.3647i | −0.472575 | − | 0.0751208i | ||||
\(951\) | 1098.71i | 1.15532i | ||||||||
\(952\) | 1305.53 | + | 214.228i | 1.37136 | + | 0.225029i | ||||
\(953\) | 347.069 | − | 601.141i | 0.364186 | − | 0.630788i | −0.624459 | − | 0.781057i | \(-0.714681\pi\) |
0.988645 | + | 0.150269i | \(0.0480140\pi\) | |||||||
\(954\) | 120.896 | + | 161.055i | 0.126726 | + | 0.168821i | ||||
\(955\) | 461.582 | + | 266.495i | 0.483332 | + | 0.279052i | ||||
\(956\) | 878.707 | − | 842.282i | 0.919150 | − | 0.881048i | ||||
\(957\) | 101.600 | 0.106165 | ||||||||
\(958\) | −203.582 | − | 1683.85i | −0.212508 | − | 1.75768i | ||||
\(959\) | 2141.66 | − | 1236.49i | 2.23322 | − | 1.28935i | ||||
\(960\) | −142.871 | + | 423.616i | −0.148824 | + | 0.441267i | ||||
\(961\) | 171.583 | 0.178546 | ||||||||
\(962\) | 104.411 | − | 12.6236i | 0.108535 | − | 0.0131222i | ||||
\(963\) | −706.610 | + | 407.961i | −0.733759 | + | 0.423636i | ||||
\(964\) | −176.595 | + | 607.351i | −0.183190 | + | 0.630032i | ||||
\(965\) | −329.773 | − | 571.184i | −0.341734 | − | 0.591901i | ||||
\(966\) | −1464.09 | − | 624.677i | −1.51562 | − | 0.646663i | ||||
\(967\) | −39.6541 | − | 22.8943i | −0.0410074 | − | 0.0236756i | 0.479356 | − | 0.877620i | \(-0.340870\pi\) |
−0.520364 | + | 0.853945i | \(0.674204\pi\) | |||||||
\(968\) | 853.853 | − | 322.325i | 0.882080 | − | 0.332981i | ||||
\(969\) | 445.290 | − | 111.635i | 0.459536 | − | 0.115206i | ||||
\(970\) | 145.940 | − | 17.6446i | 0.150454 | − | 0.0181903i | ||||
\(971\) | 23.3935 | + | 13.5062i | 0.0240922 | + | 0.0139096i | 0.511998 | − | 0.858987i | \(-0.328906\pi\) |
−0.487906 | + | 0.872896i | \(0.662239\pi\) | |||||||
\(972\) | 908.555 | + | 264.174i | 0.934727 | + | 0.271784i | ||||
\(973\) | −749.376 | − | 1297.96i | −0.770171 | − | 1.33397i | ||||
\(974\) | 646.574 | + | 275.870i | 0.663834 | + | 0.283235i | ||||
\(975\) | 17.0166 | − | 9.82454i | 0.0174529 | − | 0.0100765i | ||||
\(976\) | 924.272 | − | 482.685i | 0.947000 | − | 0.494554i | ||||
\(977\) | 1846.73 | 1.89021 | 0.945104 | − | 0.326770i | \(-0.105960\pi\) | ||||
0.945104 | + | 0.326770i | \(0.105960\pi\) | |||||||
\(978\) | 482.756 | + | 643.117i | 0.493615 | + | 0.657583i | ||||
\(979\) | −277.542 | + | 160.239i | −0.283495 | + | 0.163676i | ||||
\(980\) | −1772.06 | + | 434.850i | −1.80823 | + | 0.443725i | ||||
\(981\) | −10.3368 | −0.0105370 | ||||||||
\(982\) | −1021.89 | + | 767.083i | −1.04062 | + | 0.781144i | ||||
\(983\) | −1435.85 | − | 828.989i | −1.46068 | − | 0.843326i | −0.461641 | − | 0.887067i | \(-0.652739\pi\) |
−0.999043 | + | 0.0437410i | \(0.986072\pi\) | |||||||
\(984\) | 205.519 | − | 250.927i | 0.208860 | − | 0.255007i | ||||
\(985\) | 128.599 | − | 222.740i | 0.130557 | − | 0.226132i | ||||
\(986\) | 195.741 | − | 458.769i | 0.198520 | − | 0.465283i | ||||
\(987\) | − | 1310.10i | − | 1.32735i | ||||||
\(988\) | −34.3256 | + | 54.6383i | −0.0347425 | + | 0.0553019i | ||||
\(989\) | −860.469 | −0.870040 | ||||||||
\(990\) | −91.8379 | − | 39.1840i | −0.0927655 | − | 0.0395798i | ||||
\(991\) | −1255.21 | − | 724.697i | −1.26661 | − | 0.731279i | −0.292266 | − | 0.956337i | \(-0.594409\pi\) |
−0.974345 | + | 0.225058i | \(0.927743\pi\) | |||||||
\(992\) | 387.511 | − | 811.294i | 0.390636 | − | 0.817837i | ||||
\(993\) | 490.631 | − | 849.798i | 0.494090 | − | 0.855789i | ||||
\(994\) | −594.516 | − | 792.001i | −0.598105 | − | 0.796782i | ||||
\(995\) | − | 454.432i | − | 0.456716i | ||||||
\(996\) | −170.470 | + | 41.8321i | −0.171155 | + | 0.0420001i | ||||
\(997\) | 329.980 | + | 571.542i | 0.330973 | + | 0.573262i | 0.982703 | − | 0.185189i | \(-0.0592898\pi\) |
−0.651730 | + | 0.758451i | \(0.725956\pi\) | |||||||
\(998\) | −158.122 | + | 118.695i | −0.158439 | + | 0.118932i | ||||
\(999\) | − | 1708.35i | − | 1.71006i |
(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 | 76.3.g.c.11.6 | yes | 28 | |
4.3 | odd | 2 | inner | 76.3.g.c.11.5 | yes | 28 | |
19.7 | even | 3 | inner | 76.3.g.c.7.5 | ✓ | 28 | |
76.7 | odd | 6 | inner | 76.3.g.c.7.6 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.3.g.c.7.5 | ✓ | 28 | 19.7 | even | 3 | inner | |
76.3.g.c.7.6 | yes | 28 | 76.7 | odd | 6 | inner | |
76.3.g.c.11.5 | yes | 28 | 4.3 | odd | 2 | inner | |
76.3.g.c.11.6 | yes | 28 | 1.1 | even | 1 | trivial |