Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,3,Mod(44,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 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("105.44");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.o (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: | \(2.86104277578\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 74.15 | ||
Character | \(\chi\) | \(=\) | 105.74 |
Dual form | 105.3.o.b.44.15 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.949639 | + | 1.64482i | 0.474819 | + | 0.822411i | 0.999584 | − | 0.0288361i | \(-0.00918008\pi\) |
−0.524765 | + | 0.851247i | \(0.675847\pi\) | |||||||
\(3\) | −0.107903 | − | 2.99806i | −0.0359678 | − | 0.999353i | ||||
\(4\) | 0.196373 | − | 0.340128i | 0.0490932 | − | 0.0850320i | ||||
\(5\) | −4.51617 | − | 2.14574i | −0.903234 | − | 0.429148i | ||||
\(6\) | 4.82880 | − | 3.02455i | 0.804801 | − | 0.504092i | ||||
\(7\) | 4.60961 | − | 5.26797i | 0.658515 | − | 0.752567i | ||||
\(8\) | 8.34304 | 1.04288 | ||||||||
\(9\) | −8.97671 | + | 0.647002i | −0.997413 | + | 0.0718891i | ||||
\(10\) | −0.759373 | − | 9.46598i | −0.0759373 | − | 0.946598i | ||||
\(11\) | 8.35863 | + | 4.82586i | 0.759876 | + | 0.438714i | 0.829251 | − | 0.558876i | \(-0.188767\pi\) |
−0.0693754 | + | 0.997591i | \(0.522101\pi\) | |||||||
\(12\) | −1.04091 | − | 0.552037i | −0.0867427 | − | 0.0460031i | ||||
\(13\) | − | 16.9521i | − | 1.30401i | −0.758216 | − | 0.652004i | \(-0.773929\pi\) | ||
0.758216 | − | 0.652004i | \(-0.226071\pi\) | |||||||
\(14\) | 13.0423 | + | 2.57932i | 0.931596 | + | 0.184237i | ||||
\(15\) | −5.94574 | + | 13.7713i | −0.396383 | + | 0.918085i | ||||
\(16\) | 7.13738 | + | 12.3623i | 0.446086 | + | 0.772644i | ||||
\(17\) | −12.1835 | + | 21.1024i | −0.716674 | + | 1.24131i | 0.245637 | + | 0.969362i | \(0.421003\pi\) |
−0.962311 | + | 0.271953i | \(0.912330\pi\) | |||||||
\(18\) | −9.58884 | − | 14.1507i | −0.532713 | − | 0.786149i | ||||
\(19\) | 6.95261 | + | 12.0423i | 0.365927 | + | 0.633804i | 0.988924 | − | 0.148420i | \(-0.0474187\pi\) |
−0.622997 | + | 0.782224i | \(0.714085\pi\) | |||||||
\(20\) | −1.61668 | + | 1.11471i | −0.0808340 | + | 0.0557355i | ||||
\(21\) | −16.2911 | − | 13.2514i | −0.775766 | − | 0.631021i | ||||
\(22\) | 18.3313i | 0.833240i | ||||||||
\(23\) | −0.354602 | − | 0.614188i | −0.0154175 | − | 0.0267038i | 0.858214 | − | 0.513292i | \(-0.171574\pi\) |
−0.873631 | + | 0.486589i | \(0.838241\pi\) | |||||||
\(24\) | −0.900243 | − | 25.0129i | −0.0375101 | − | 1.04221i | ||||
\(25\) | 15.7916 | + | 19.3810i | 0.631665 | + | 0.775242i | ||||
\(26\) | 27.8832 | − | 16.0984i | 1.07243 | − | 0.619168i | ||||
\(27\) | 2.90837 | + | 26.8429i | 0.107717 | + | 0.994182i | ||||
\(28\) | −0.886581 | − | 2.60234i | −0.0316636 | − | 0.0929408i | ||||
\(29\) | 16.5872i | 0.571971i | 0.958234 | + | 0.285986i | \(0.0923209\pi\) | ||||
−0.958234 | + | 0.285986i | \(0.907679\pi\) | |||||||
\(30\) | −28.2976 | + | 3.29806i | −0.943254 | + | 0.109935i | ||||
\(31\) | 7.12320 | − | 12.3377i | 0.229781 | − | 0.397992i | −0.727962 | − | 0.685617i | \(-0.759532\pi\) |
0.957743 | + | 0.287625i | \(0.0928658\pi\) | |||||||
\(32\) | 3.13021 | − | 5.42169i | 0.0978192 | − | 0.169428i | ||||
\(33\) | 13.5663 | − | 25.5804i | 0.411100 | − | 0.775164i | ||||
\(34\) | −46.2795 | −1.36116 | ||||||||
\(35\) | −32.1215 | + | 13.9000i | −0.917756 | + | 0.397144i | ||||
\(36\) | −1.54272 | + | 3.18028i | −0.0428533 | + | 0.0883412i | ||||
\(37\) | 1.08578 | − | 0.626873i | 0.0293453 | − | 0.0169425i | −0.485256 | − | 0.874372i | \(-0.661273\pi\) |
0.514601 | + | 0.857430i | \(0.327940\pi\) | |||||||
\(38\) | −13.2049 | + | 22.8716i | −0.347498 | + | 0.601885i | ||||
\(39\) | −50.8234 | + | 1.82919i | −1.30316 | + | 0.0469023i | ||||
\(40\) | −37.6786 | − | 17.9020i | −0.941965 | − | 0.447550i | ||||
\(41\) | − | 24.1024i | − | 0.587862i | −0.955827 | − | 0.293931i | \(-0.905036\pi\) | ||
0.955827 | − | 0.293931i | \(-0.0949637\pi\) | |||||||
\(42\) | 6.32563 | − | 39.3800i | 0.150610 | − | 0.937619i | ||||
\(43\) | 57.6214i | 1.34003i | 0.742346 | + | 0.670017i | \(0.233713\pi\) | ||||
−0.742346 | + | 0.670017i | \(0.766287\pi\) | |||||||
\(44\) | 3.28282 | − | 1.89534i | 0.0746095 | − | 0.0430758i | ||||
\(45\) | 41.9287 | + | 16.3397i | 0.931748 | + | 0.363105i | ||||
\(46\) | 0.673487 | − | 1.16651i | 0.0146410 | − | 0.0253590i | ||||
\(47\) | −16.0840 | − | 27.8583i | −0.342213 | − | 0.592730i | 0.642630 | − | 0.766176i | \(-0.277843\pi\) |
−0.984843 | + | 0.173446i | \(0.944510\pi\) | |||||||
\(48\) | 36.2928 | − | 22.7322i | 0.756100 | − | 0.473588i | ||||
\(49\) | −6.50303 | − | 48.5666i | −0.132715 | − | 0.991154i | ||||
\(50\) | −16.8821 | + | 44.3794i | −0.337641 | + | 0.887588i | ||||
\(51\) | 64.5807 | + | 34.2497i | 1.26629 | + | 0.671562i | ||||
\(52\) | −5.76588 | − | 3.32893i | −0.110882 | − | 0.0640180i | ||||
\(53\) | 8.67882 | − | 15.0322i | 0.163751 | − | 0.283625i | −0.772460 | − | 0.635064i | \(-0.780974\pi\) |
0.936211 | + | 0.351438i | \(0.114307\pi\) | |||||||
\(54\) | −41.3899 | + | 30.2748i | −0.766480 | + | 0.560645i | ||||
\(55\) | −27.3940 | − | 39.7298i | −0.498073 | − | 0.722361i | ||||
\(56\) | 38.4582 | − | 43.9509i | 0.686753 | − | 0.784838i | ||||
\(57\) | 35.3532 | − | 22.1437i | 0.620232 | − | 0.388487i | ||||
\(58\) | −27.2829 | + | 15.7518i | −0.470395 | + | 0.271583i | ||||
\(59\) | 75.8739 | + | 43.8058i | 1.28600 | + | 0.742471i | 0.977938 | − | 0.208896i | \(-0.0669870\pi\) |
0.308060 | + | 0.951367i | \(0.400320\pi\) | |||||||
\(60\) | 3.51641 | + | 4.72662i | 0.0586069 | + | 0.0787770i | ||||
\(61\) | 52.2391 | + | 90.4808i | 0.856379 | + | 1.48329i | 0.875359 | + | 0.483473i | \(0.160625\pi\) |
−0.0189801 | + | 0.999820i | \(0.506042\pi\) | |||||||
\(62\) | 27.0578 | 0.436417 | ||||||||
\(63\) | −37.9707 | + | 50.2715i | −0.602710 | + | 0.797960i | ||||
\(64\) | 68.9894 | 1.07796 | ||||||||
\(65\) | −36.3748 | + | 76.5586i | −0.559612 | + | 1.17782i | ||||
\(66\) | 54.9583 | − | 1.97801i | 0.832701 | − | 0.0299698i | ||||
\(67\) | −86.1690 | − | 49.7497i | −1.28610 | − | 0.742533i | −0.308147 | − | 0.951339i | \(-0.599709\pi\) |
−0.977957 | + | 0.208806i | \(0.933042\pi\) | |||||||
\(68\) | 4.78500 | + | 8.28786i | 0.0703676 | + | 0.121880i | ||||
\(69\) | −1.80311 | + | 1.12939i | −0.0261320 | + | 0.0163680i | ||||
\(70\) | −53.3669 | − | 39.6341i | −0.762384 | − | 0.566201i | ||||
\(71\) | − | 50.7518i | − | 0.714814i | −0.933949 | − | 0.357407i | \(-0.883661\pi\) | ||
0.933949 | − | 0.357407i | \(-0.116339\pi\) | |||||||
\(72\) | −74.8931 | + | 5.39796i | −1.04018 | + | 0.0749717i | ||||
\(73\) | 81.5039 | + | 47.0563i | 1.11649 | + | 0.644607i | 0.940503 | − | 0.339786i | \(-0.110355\pi\) |
0.175988 | + | 0.984392i | \(0.443688\pi\) | |||||||
\(74\) | 2.06219 | + | 1.19061i | 0.0278674 | + | 0.0160893i | ||||
\(75\) | 56.4015 | − | 49.4355i | 0.752021 | − | 0.659140i | ||||
\(76\) | 5.46122 | 0.0718582 | ||||||||
\(77\) | 63.9525 | − | 21.7877i | 0.830552 | − | 0.282957i | ||||
\(78\) | −51.2726 | − | 81.8584i | −0.657340 | − | 1.04947i | ||||
\(79\) | −3.71265 | − | 6.43050i | −0.0469956 | − | 0.0813987i | 0.841571 | − | 0.540147i | \(-0.181631\pi\) |
−0.888566 | + | 0.458748i | \(0.848298\pi\) | |||||||
\(80\) | −5.70736 | − | 71.1453i | −0.0713420 | − | 0.889316i | ||||
\(81\) | 80.1628 | − | 11.6159i | 0.989664 | − | 0.143406i | ||||
\(82\) | 39.6441 | − | 22.8885i | 0.483465 | − | 0.279128i | ||||
\(83\) | −69.6382 | −0.839015 | −0.419508 | − | 0.907752i | \(-0.637797\pi\) | ||||
−0.419508 | + | 0.907752i | \(0.637797\pi\) | |||||||
\(84\) | −7.70631 | + | 2.93883i | −0.0917418 | + | 0.0349860i | ||||
\(85\) | 100.303 | − | 69.1594i | 1.18003 | − | 0.813640i | ||||
\(86\) | −94.7770 | + | 54.7196i | −1.10206 | + | 0.636274i | ||||
\(87\) | 49.7293 | − | 1.78981i | 0.571601 | − | 0.0205726i | ||||
\(88\) | 69.7364 | + | 40.2623i | 0.792459 | + | 0.457527i | ||||
\(89\) | −78.3272 | + | 45.2223i | −0.880081 | + | 0.508115i | −0.870685 | − | 0.491841i | \(-0.836324\pi\) |
−0.00939614 | + | 0.999956i | \(0.502991\pi\) | |||||||
\(90\) | 12.9412 | + | 84.4820i | 0.143791 | + | 0.938689i | ||||
\(91\) | −89.3032 | − | 78.1425i | −0.981354 | − | 0.858709i | ||||
\(92\) | −0.278537 | −0.00302757 | ||||||||
\(93\) | −37.7579 | − | 20.0245i | −0.405999 | − | 0.215317i | ||||
\(94\) | 30.5480 | − | 52.9107i | 0.324979 | − | 0.562879i | ||||
\(95\) | −5.55961 | − | 69.3035i | −0.0585222 | − | 0.729510i | ||||
\(96\) | −16.5923 | − | 8.79955i | −0.172837 | − | 0.0916620i | ||||
\(97\) | − | 90.4517i | − | 0.932492i | −0.884655 | − | 0.466246i | \(-0.845606\pi\) | ||
0.884655 | − | 0.466246i | \(-0.154394\pi\) | |||||||
\(98\) | 73.7078 | − | 56.8170i | 0.752121 | − | 0.579765i | ||||
\(99\) | −78.1554 | − | 37.9123i | −0.789448 | − | 0.382953i | ||||
\(100\) | 9.69308 | − | 1.56526i | 0.0969308 | − | 0.0156526i | ||||
\(101\) | −47.1698 | − | 27.2335i | −0.467028 | − | 0.269638i | 0.247967 | − | 0.968768i | \(-0.420238\pi\) |
−0.714995 | + | 0.699130i | \(0.753571\pi\) | |||||||
\(102\) | 4.99372 | + | 138.749i | 0.0489580 | + | 1.36028i | ||||
\(103\) | −94.7932 | + | 54.7289i | −0.920322 | + | 0.531348i | −0.883738 | − | 0.467982i | \(-0.844981\pi\) |
−0.0365842 | + | 0.999331i | \(0.511648\pi\) | |||||||
\(104\) | − | 141.432i | − | 1.35992i | ||||||
\(105\) | 45.1392 | + | 94.8022i | 0.429897 | + | 0.902878i | ||||
\(106\) | 32.9670 | 0.311009 | ||||||||
\(107\) | −39.8017 | − | 68.9385i | −0.371978 | − | 0.644285i | 0.617892 | − | 0.786263i | \(-0.287987\pi\) |
−0.989870 | + | 0.141978i | \(0.954654\pi\) | |||||||
\(108\) | 9.70114 | + | 4.28200i | 0.0898254 | + | 0.0396482i | ||||
\(109\) | −70.7849 | + | 122.603i | −0.649402 | + | 1.12480i | 0.333864 | + | 0.942621i | \(0.391648\pi\) |
−0.983266 | + | 0.182176i | \(0.941686\pi\) | |||||||
\(110\) | 39.3342 | − | 82.7873i | 0.357583 | − | 0.752611i | ||||
\(111\) | −1.99656 | − | 3.18758i | −0.0179870 | − | 0.0287169i | ||||
\(112\) | 98.0248 | + | 19.3859i | 0.875222 | + | 0.173088i | ||||
\(113\) | −99.6031 | −0.881443 | −0.440722 | − | 0.897644i | \(-0.645277\pi\) | ||||
−0.440722 | + | 0.897644i | \(0.645277\pi\) | |||||||
\(114\) | 69.9953 | + | 37.1213i | 0.613994 | + | 0.325625i | ||||
\(115\) | 0.283555 | + | 3.53466i | 0.00246570 | + | 0.0307362i | ||||
\(116\) | 5.64176 | + | 3.25727i | 0.0486358 | + | 0.0280799i | ||||
\(117\) | 10.9680 | + | 152.174i | 0.0937439 | + | 1.30063i | ||||
\(118\) | 166.399i | 1.41016i | ||||||||
\(119\) | 55.0057 | + | 161.456i | 0.462232 | + | 1.35677i | ||||
\(120\) | −49.6056 | + | 114.894i | −0.413380 | + | 0.957453i | ||||
\(121\) | −13.9222 | − | 24.1139i | −0.115059 | − | 0.199288i | ||||
\(122\) | −99.2166 | + | 171.848i | −0.813251 | + | 1.40859i | ||||
\(123\) | −72.2603 | + | 2.60073i | −0.587482 | + | 0.0211441i | ||||
\(124\) | −2.79761 | − | 4.84560i | −0.0225613 | − | 0.0390774i | ||||
\(125\) | −29.7310 | − | 121.413i | −0.237848 | − | 0.971302i | ||||
\(126\) | −118.746 | − | 14.7154i | −0.942430 | − | 0.116789i | ||||
\(127\) | 89.2383i | 0.702663i | 0.936251 | + | 0.351332i | \(0.114271\pi\) | ||||
−0.936251 | + | 0.351332i | \(0.885729\pi\) | |||||||
\(128\) | 52.9941 | + | 91.7885i | 0.414016 | + | 0.717097i | ||||
\(129\) | 172.752 | − | 6.21755i | 1.33917 | − | 0.0481981i | ||||
\(130\) | −160.468 | + | 12.8730i | −1.23437 | + | 0.0990228i | ||||
\(131\) | −96.9674 | + | 55.9841i | −0.740209 | + | 0.427360i | −0.822145 | − | 0.569278i | \(-0.807223\pi\) |
0.0819364 | + | 0.996638i | \(0.473890\pi\) | |||||||
\(132\) | −6.03656 | − | 9.63757i | −0.0457315 | − | 0.0730119i | ||||
\(133\) | 95.4872 | + | 18.8840i | 0.717949 | + | 0.141985i | ||||
\(134\) | − | 188.977i | − | 1.41028i | ||||||
\(135\) | 44.4632 | − | 127.468i | 0.329357 | − | 0.944206i | ||||
\(136\) | −101.647 | + | 176.058i | −0.747405 | + | 1.29454i | ||||
\(137\) | 44.2662 | − | 76.6714i | 0.323111 | − | 0.559645i | −0.658017 | − | 0.753003i | \(-0.728605\pi\) |
0.981128 | + | 0.193358i | \(0.0619379\pi\) | |||||||
\(138\) | −3.56995 | − | 1.89328i | −0.0258692 | − | 0.0137194i | ||||
\(139\) | −5.87121 | −0.0422389 | −0.0211195 | − | 0.999777i | \(-0.506723\pi\) | ||||
−0.0211195 | + | 0.999777i | \(0.506723\pi\) | |||||||
\(140\) | −1.57999 | + | 13.6550i | −0.0112857 | + | 0.0975357i | ||||
\(141\) | −81.7853 | + | 51.2268i | −0.580038 | + | 0.363311i | ||||
\(142\) | 83.4777 | − | 48.1959i | 0.587871 | − | 0.339408i | ||||
\(143\) | 81.8085 | − | 141.696i | 0.572087 | − | 0.990884i | ||||
\(144\) | −72.0687 | − | 106.355i | −0.500477 | − | 0.738577i | ||||
\(145\) | 35.5917 | − | 74.9105i | 0.245460 | − | 0.516624i | ||||
\(146\) | 178.746i | 1.22429i | ||||||||
\(147\) | −144.904 | + | 24.7370i | −0.985739 | + | 0.168279i | ||||
\(148\) | − | 0.492404i | − | 0.00332705i | ||||||
\(149\) | 4.98359 | − | 2.87728i | 0.0334469 | − | 0.0193106i | −0.483183 | − | 0.875519i | \(-0.660520\pi\) |
0.516630 | + | 0.856209i | \(0.327186\pi\) | |||||||
\(150\) | 134.874 | + | 45.8247i | 0.899158 | + | 0.305498i | ||||
\(151\) | 131.443 | − | 227.666i | 0.870482 | − | 1.50772i | 0.00898406 | − | 0.999960i | \(-0.497140\pi\) |
0.861498 | − | 0.507760i | \(-0.169526\pi\) | |||||||
\(152\) | 58.0059 | + | 100.469i | 0.381618 | + | 0.660982i | ||||
\(153\) | 95.7141 | − | 197.313i | 0.625582 | − | 1.28962i | ||||
\(154\) | 96.5687 | + | 84.5001i | 0.627069 | + | 0.548702i | ||||
\(155\) | −58.6431 | + | 40.4348i | −0.378343 | + | 0.260870i | ||||
\(156\) | −9.35818 | + | 17.6457i | −0.0599883 | + | 0.113113i | ||||
\(157\) | −135.602 | − | 78.2900i | −0.863709 | − | 0.498662i | 0.00154383 | − | 0.999999i | \(-0.499509\pi\) |
−0.865252 | + | 0.501336i | \(0.832842\pi\) | |||||||
\(158\) | 7.05135 | − | 12.2133i | 0.0446288 | − | 0.0772994i | ||||
\(159\) | −46.0037 | − | 24.3976i | −0.289332 | − | 0.153444i | ||||
\(160\) | −25.7701 | + | 17.7687i | −0.161063 | + | 0.111054i | ||||
\(161\) | −4.87010 | − | 0.963135i | −0.0302491 | − | 0.00598221i | ||||
\(162\) | 95.2318 | + | 120.823i | 0.587850 | + | 0.745819i | ||||
\(163\) | 2.59424 | − | 1.49779i | 0.0159156 | − | 0.00918887i | −0.492021 | − | 0.870583i | \(-0.663742\pi\) |
0.507937 | + | 0.861394i | \(0.330408\pi\) | |||||||
\(164\) | −8.19788 | − | 4.73305i | −0.0499871 | − | 0.0288601i | ||||
\(165\) | −116.157 | + | 86.4158i | −0.703979 | + | 0.523732i | ||||
\(166\) | −66.1312 | − | 114.543i | −0.398381 | − | 0.690015i | ||||
\(167\) | −201.798 | −1.20837 | −0.604186 | − | 0.796844i | \(-0.706501\pi\) | ||||
−0.604186 | + | 0.796844i | \(0.706501\pi\) | |||||||
\(168\) | −135.917 | − | 110.557i | −0.809031 | − | 0.658080i | ||||
\(169\) | −118.374 | −0.700436 | ||||||||
\(170\) | 209.006 | + | 99.3037i | 1.22945 | + | 0.584139i | ||||
\(171\) | −70.2030 | − | 103.602i | −0.410544 | − | 0.605858i | ||||
\(172\) | 19.5987 | + | 11.3153i | 0.113946 | + | 0.0657866i | ||||
\(173\) | 7.78179 | + | 13.4785i | 0.0449814 | + | 0.0779101i | 0.887640 | − | 0.460539i | \(-0.152344\pi\) |
−0.842658 | + | 0.538449i | \(0.819010\pi\) | |||||||
\(174\) | 50.1688 | + | 80.0962i | 0.288326 | + | 0.460323i | ||||
\(175\) | 174.892 | + | 6.14927i | 0.999382 | + | 0.0351387i | ||||
\(176\) | 137.776i | 0.782818i | ||||||||
\(177\) | 123.145 | − | 232.201i | 0.695736 | − | 1.31187i | ||||
\(178\) | −148.765 | − | 85.8896i | −0.835759 | − | 0.482526i | ||||
\(179\) | −27.1566 | − | 15.6789i | −0.151713 | − | 0.0875916i | 0.422222 | − | 0.906493i | \(-0.361250\pi\) |
−0.573935 | + | 0.818901i | \(0.694584\pi\) | |||||||
\(180\) | 13.7912 | − | 11.0524i | 0.0766180 | − | 0.0614024i | ||||
\(181\) | 125.301 | 0.692273 | 0.346137 | − | 0.938184i | \(-0.387493\pi\) | ||||
0.346137 | + | 0.938184i | \(0.387493\pi\) | |||||||
\(182\) | 43.7249 | − | 221.095i | 0.240246 | − | 1.21481i | ||||
\(183\) | 265.630 | − | 166.379i | 1.45153 | − | 0.909176i | ||||
\(184\) | −2.95846 | − | 5.12420i | −0.0160786 | − | 0.0278489i | ||||
\(185\) | −6.24866 | + | 0.501275i | −0.0337765 | + | 0.00270959i | ||||
\(186\) | −2.91964 | − | 81.1210i | −0.0156970 | − | 0.436135i | ||||
\(187\) | −203.674 | + | 117.591i | −1.08917 | + | 0.628830i | ||||
\(188\) | −12.6339 | −0.0672013 | ||||||||
\(189\) | 154.814 | + | 108.414i | 0.819122 | + | 0.573619i | ||||
\(190\) | 108.712 | − | 74.9578i | 0.572170 | − | 0.394515i | ||||
\(191\) | −42.0451 | + | 24.2747i | −0.220131 | + | 0.127093i | −0.606011 | − | 0.795456i | \(-0.707231\pi\) |
0.385880 | + | 0.922549i | \(0.373898\pi\) | |||||||
\(192\) | −7.44419 | − | 206.834i | −0.0387718 | − | 1.07726i | ||||
\(193\) | 14.9330 | + | 8.62156i | 0.0773730 | + | 0.0446713i | 0.538187 | − | 0.842825i | \(-0.319109\pi\) |
−0.460814 | + | 0.887497i | \(0.652443\pi\) | |||||||
\(194\) | 148.777 | − | 85.8964i | 0.766891 | − | 0.442765i | ||||
\(195\) | 233.452 | + | 100.793i | 1.19719 | + | 0.516886i | ||||
\(196\) | −17.7959 | − | 7.32530i | −0.0907952 | − | 0.0373740i | ||||
\(197\) | 354.243 | 1.79819 | 0.899094 | − | 0.437755i | \(-0.144226\pi\) | ||||
0.899094 | + | 0.437755i | \(0.144226\pi\) | |||||||
\(198\) | −11.8604 | − | 164.555i | −0.0599009 | − | 0.831085i | ||||
\(199\) | 7.75382 | − | 13.4300i | 0.0389639 | − | 0.0674875i | −0.845886 | − | 0.533364i | \(-0.820928\pi\) |
0.884850 | + | 0.465877i | \(0.154261\pi\) | |||||||
\(200\) | 131.750 | + | 161.697i | 0.658750 | + | 0.808484i | ||||
\(201\) | −139.855 | + | 263.708i | −0.695794 | + | 1.31198i | ||||
\(202\) | − | 103.448i | − | 0.512118i | ||||||
\(203\) | 87.3807 | + | 76.4603i | 0.430447 | + | 0.376652i | ||||
\(204\) | 24.3312 | − | 15.2400i | 0.119270 | − | 0.0747059i | ||||
\(205\) | −51.7174 | + | 108.850i | −0.252280 | + | 0.530977i | ||||
\(206\) | −180.039 | − | 103.945i | −0.873973 | − | 0.504589i | ||||
\(207\) | 3.58054 | + | 5.28396i | 0.0172973 | + | 0.0255264i | ||||
\(208\) | 209.567 | − | 120.994i | 1.00753 | − | 0.581700i | ||||
\(209\) | 134.209i | 0.642150i | ||||||||
\(210\) | −113.067 | + | 164.274i | −0.538414 | + | 0.782256i | ||||
\(211\) | −355.817 | −1.68634 | −0.843169 | − | 0.537649i | \(-0.819313\pi\) | ||||
−0.843169 | + | 0.537649i | \(0.819313\pi\) | |||||||
\(212\) | −3.40857 | − | 5.90381i | −0.0160782 | − | 0.0278482i | ||||
\(213\) | −152.157 | + | 5.47630i | −0.714352 | + | 0.0257103i | ||||
\(214\) | 75.5944 | − | 130.933i | 0.353245 | − | 0.611838i | ||||
\(215\) | 123.641 | − | 260.228i | 0.575072 | − | 1.21036i | ||||
\(216\) | 24.2646 | + | 223.951i | 0.112336 | + | 1.03681i | ||||
\(217\) | −32.1597 | − | 94.3969i | −0.148201 | − | 0.435009i | ||||
\(218\) | −268.880 | −1.23340 | ||||||||
\(219\) | 132.283 | − | 249.431i | 0.604032 | − | 1.13895i | ||||
\(220\) | −18.8927 | + | 1.51559i | −0.0858758 | + | 0.00688906i | ||||
\(221\) | 357.729 | + | 206.535i | 1.61868 | + | 0.934548i | ||||
\(222\) | 3.34699 | − | 6.31104i | 0.0150765 | − | 0.0284281i | ||||
\(223\) | 125.746i | 0.563882i | 0.959432 | + | 0.281941i | \(0.0909782\pi\) | ||||
−0.959432 | + | 0.281941i | \(0.909022\pi\) | |||||||
\(224\) | −14.1322 | − | 41.4817i | −0.0630904 | − | 0.185186i | ||||
\(225\) | −154.296 | − | 163.761i | −0.685762 | − | 0.727826i | ||||
\(226\) | −94.5869 | − | 163.829i | −0.418526 | − | 0.724909i | ||||
\(227\) | −195.808 | + | 339.150i | −0.862591 | + | 1.49405i | 0.00682884 | + | 0.999977i | \(0.497826\pi\) |
−0.869420 | + | 0.494074i | \(0.835507\pi\) | |||||||
\(228\) | −0.589284 | − | 16.3731i | −0.00258458 | − | 0.0718117i | ||||
\(229\) | 63.3517 | + | 109.728i | 0.276645 | + | 0.479163i | 0.970549 | − | 0.240904i | \(-0.0774441\pi\) |
−0.693904 | + | 0.720068i | \(0.744111\pi\) | |||||||
\(230\) | −5.54461 | + | 3.82305i | −0.0241070 | + | 0.0166219i | ||||
\(231\) | −72.2215 | − | 189.382i | −0.312647 | − | 0.819837i | ||||
\(232\) | 138.387i | 0.596497i | ||||||||
\(233\) | 187.050 | + | 323.979i | 0.802788 | + | 1.39047i | 0.917774 | + | 0.397103i | \(0.129984\pi\) |
−0.114986 | + | 0.993367i | \(0.536682\pi\) | |||||||
\(234\) | −239.884 | + | 162.551i | −1.02514 | + | 0.694662i | ||||
\(235\) | 12.8615 | + | 160.325i | 0.0547297 | + | 0.682234i | ||||
\(236\) | 29.7991 | − | 17.2045i | 0.126268 | − | 0.0729006i | ||||
\(237\) | −18.8784 | + | 11.8246i | −0.0796557 | + | 0.0498929i | ||||
\(238\) | −213.330 | + | 243.799i | −0.896346 | + | 1.02437i | ||||
\(239\) | 82.1964i | 0.343918i | 0.985104 | + | 0.171959i | \(0.0550097\pi\) | ||||
−0.985104 | + | 0.171959i | \(0.944990\pi\) | |||||||
\(240\) | −212.682 | + | 24.7878i | −0.886175 | + | 0.103283i | ||||
\(241\) | −104.237 | + | 180.543i | −0.432517 | + | 0.749141i | −0.997089 | − | 0.0762423i | \(-0.975708\pi\) |
0.564572 | + | 0.825384i | \(0.309041\pi\) | |||||||
\(242\) | 26.4421 | − | 45.7990i | 0.109265 | − | 0.189252i | ||||
\(243\) | −43.4750 | − | 239.079i | −0.178909 | − | 0.983866i | ||||
\(244\) | 41.0334 | 0.168170 | ||||||||
\(245\) | −74.8423 | + | 233.289i | −0.305479 | + | 0.952199i | ||||
\(246\) | −72.8989 | − | 116.386i | −0.296337 | − | 0.473112i | ||||
\(247\) | 204.142 | − | 117.861i | 0.826486 | − | 0.477172i | ||||
\(248\) | 59.4291 | − | 102.934i | 0.239634 | − | 0.415058i | ||||
\(249\) | 7.51421 | + | 208.780i | 0.0301775 | + | 0.838472i | ||||
\(250\) | 171.469 | − | 164.200i | 0.685875 | − | 0.656802i | ||||
\(251\) | − | 279.326i | − | 1.11285i | −0.830897 | − | 0.556427i | \(-0.812172\pi\) | ||
0.830897 | − | 0.556427i | \(-0.187828\pi\) | |||||||
\(252\) | 9.64231 | + | 22.7869i | 0.0382631 | + | 0.0904241i | ||||
\(253\) | − | 6.84503i | − | 0.0270555i | ||||||
\(254\) | −146.781 | + | 84.7441i | −0.577878 | + | 0.333638i | ||||
\(255\) | −218.167 | − | 293.251i | −0.855556 | − | 1.15000i | ||||
\(256\) | 37.3282 | − | 64.6544i | 0.145813 | − | 0.252556i | ||||
\(257\) | −80.6774 | − | 139.737i | −0.313920 | − | 0.543725i | 0.665288 | − | 0.746587i | \(-0.268309\pi\) |
−0.979207 | + | 0.202862i | \(0.934976\pi\) | |||||||
\(258\) | 174.279 | + | 278.243i | 0.675501 | + | 1.07846i | ||||
\(259\) | 1.70265 | − | 8.60947i | 0.00657395 | − | 0.0332412i | ||||
\(260\) | 18.8967 | + | 27.4061i | 0.0726796 | + | 0.105408i | ||||
\(261\) | −10.7319 | − | 148.898i | −0.0411185 | − | 0.570491i | ||||
\(262\) | −184.168 | − | 106.329i | −0.702931 | − | 0.405837i | ||||
\(263\) | 15.5086 | − | 26.8617i | 0.0589680 | − | 0.102136i | −0.835034 | − | 0.550198i | \(-0.814552\pi\) |
0.894002 | + | 0.448062i | \(0.147886\pi\) | |||||||
\(264\) | 113.184 | − | 213.418i | 0.428728 | − | 0.808403i | ||||
\(265\) | −71.4501 | + | 49.2653i | −0.269623 | + | 0.185907i | ||||
\(266\) | 59.6175 | + | 174.992i | 0.224126 | + | 0.657866i | ||||
\(267\) | 144.031 | + | 229.950i | 0.539441 | + | 0.861236i | ||||
\(268\) | −33.8425 | + | 19.5390i | −0.126278 | + | 0.0729067i | ||||
\(269\) | −271.904 | − | 156.984i | −1.01080 | − | 0.583583i | −0.0993714 | − | 0.995050i | \(-0.531683\pi\) |
−0.911425 | + | 0.411467i | \(0.865017\pi\) | |||||||
\(270\) | 251.886 | − | 47.9143i | 0.932910 | − | 0.177460i | ||||
\(271\) | 128.076 | + | 221.834i | 0.472604 | + | 0.818574i | 0.999508 | − | 0.0313506i | \(-0.00998084\pi\) |
−0.526905 | + | 0.849924i | \(0.676648\pi\) | |||||||
\(272\) | −347.832 | −1.27879 | ||||||||
\(273\) | −224.640 | + | 276.168i | −0.822856 | + | 1.01160i | ||||
\(274\) | 168.148 | 0.613678 | ||||||||
\(275\) | 38.4661 | + | 238.207i | 0.139877 | + | 0.866208i | ||||
\(276\) | 0.0300551 | + | 0.835069i | 0.000108895 | + | 0.00302561i | ||||
\(277\) | 283.178 | + | 163.493i | 1.02230 | + | 0.590226i | 0.914770 | − | 0.403975i | \(-0.132372\pi\) |
0.107532 | + | 0.994202i | \(0.465705\pi\) | |||||||
\(278\) | −5.57553 | − | 9.65710i | −0.0200559 | − | 0.0347378i | ||||
\(279\) | −55.9604 | + | 115.361i | −0.200575 | + | 0.413481i | ||||
\(280\) | −267.991 | + | 115.969i | −0.957110 | + | 0.414174i | ||||
\(281\) | − | 405.760i | − | 1.44399i | −0.691900 | − | 0.721993i | \(-0.743226\pi\) | ||
0.691900 | − | 0.721993i | \(-0.256774\pi\) | |||||||
\(282\) | −161.926 | − | 85.8754i | −0.574204 | − | 0.304523i | ||||
\(283\) | 393.833 | + | 227.380i | 1.39164 | + | 0.803462i | 0.993496 | − | 0.113863i | \(-0.0363224\pi\) |
0.398140 | + | 0.917325i | \(0.369656\pi\) | |||||||
\(284\) | −17.2621 | − | 9.96628i | −0.0607821 | − | 0.0350926i | ||||
\(285\) | −207.176 | + | 24.1461i | −0.726933 | + | 0.0847233i | ||||
\(286\) | 310.754 | 1.08655 | ||||||||
\(287\) | −126.971 | − | 111.102i | −0.442406 | − | 0.387116i | ||||
\(288\) | −24.5912 | + | 50.6942i | −0.0853861 | + | 0.176022i | ||||
\(289\) | −152.373 | − | 263.918i | −0.527242 | − | 0.913210i | ||||
\(290\) | 157.014 | − | 12.5958i | 0.541426 | − | 0.0434339i | ||||
\(291\) | −271.179 | + | 9.76005i | −0.931888 | + | 0.0335397i | ||||
\(292\) | 32.0103 | − | 18.4812i | 0.109624 | − | 0.0632916i | ||||
\(293\) | −141.910 | −0.484333 | −0.242166 | − | 0.970235i | \(-0.577858\pi\) | ||||
−0.242166 | + | 0.970235i | \(0.577858\pi\) | |||||||
\(294\) | −178.294 | − | 214.850i | −0.606442 | − | 0.730781i | ||||
\(295\) | −248.664 | − | 360.640i | −0.842928 | − | 1.22251i | ||||
\(296\) | 9.05867 | − | 5.23003i | 0.0306036 | − | 0.0176690i | ||||
\(297\) | −105.230 | + | 238.405i | −0.354310 | + | 0.802712i | ||||
\(298\) | 9.46522 | + | 5.46474i | 0.0317625 | + | 0.0183381i | ||||
\(299\) | −10.4118 | + | 6.01124i | −0.0348220 | + | 0.0201045i | ||||
\(300\) | −5.73864 | − | 28.8915i | −0.0191288 | − | 0.0963051i | ||||
\(301\) | 303.548 | + | 265.612i | 1.00847 | + | 0.882433i | ||||
\(302\) | 499.293 | 1.65329 | ||||||||
\(303\) | −76.5578 | + | 144.356i | −0.252666 | + | 0.476424i | ||||
\(304\) | −99.2469 | + | 171.901i | −0.326470 | + | 0.565463i | ||||
\(305\) | −41.7727 | − | 520.719i | −0.136960 | − | 1.70727i | ||||
\(306\) | 415.438 | − | 29.9429i | 1.35764 | − | 0.0978527i | ||||
\(307\) | 187.823i | 0.611801i | 0.952063 | + | 0.305901i | \(0.0989575\pi\) | ||||
−0.952063 | + | 0.305901i | \(0.901042\pi\) | |||||||
\(308\) | 5.14793 | − | 26.0305i | 0.0167141 | − | 0.0845148i | ||||
\(309\) | 174.309 | + | 278.290i | 0.564106 | + | 0.900615i | ||||
\(310\) | −122.198 | − | 58.0591i | −0.394187 | − | 0.187287i | ||||
\(311\) | 233.836 | + | 135.005i | 0.751885 | + | 0.434101i | 0.826375 | − | 0.563121i | \(-0.190399\pi\) |
−0.0744894 | + | 0.997222i | \(0.523733\pi\) | |||||||
\(312\) | −424.022 | + | 15.2610i | −1.35904 | + | 0.0489135i | ||||
\(313\) | 55.2832 | − | 31.9177i | 0.176623 | − | 0.101974i | −0.409082 | − | 0.912498i | \(-0.634151\pi\) |
0.585705 | + | 0.810524i | \(0.300818\pi\) | |||||||
\(314\) | − | 297.389i | − | 0.947098i | ||||||
\(315\) | 279.352 | − | 145.559i | 0.886831 | − | 0.462093i | ||||
\(316\) | −2.91626 | −0.00922866 | ||||||||
\(317\) | 99.2398 | + | 171.888i | 0.313059 | + | 0.542235i | 0.979023 | − | 0.203749i | \(-0.0653128\pi\) |
−0.665964 | + | 0.745984i | \(0.731979\pi\) | |||||||
\(318\) | −3.55725 | − | 98.8369i | −0.0111863 | − | 0.310808i | ||||
\(319\) | −80.0473 | + | 138.646i | −0.250932 | + | 0.434627i | ||||
\(320\) | −311.568 | − | 148.033i | −0.973649 | − | 0.462603i | ||||
\(321\) | −202.387 | + | 126.766i | −0.630489 | + | 0.394911i | ||||
\(322\) | −3.04065 | − | 8.92508i | −0.00944301 | − | 0.0277176i | ||||
\(323\) | −338.827 | −1.04900 | ||||||||
\(324\) | 11.7909 | − | 29.5466i | 0.0363917 | − | 0.0911933i | ||||
\(325\) | 328.549 | − | 267.701i | 1.01092 | − | 0.823695i | ||||
\(326\) | 4.92718 | + | 2.84471i | 0.0151141 | + | 0.00872611i | ||||
\(327\) | 375.209 | + | 198.988i | 1.14743 | + | 0.608526i | ||||
\(328\) | − | 201.087i | − | 0.613070i | ||||||
\(329\) | −220.898 | − | 43.6858i | −0.671422 | − | 0.132784i | ||||
\(330\) | −252.445 | − | 108.993i | −0.764986 | − | 0.330282i | ||||
\(331\) | 27.5811 | + | 47.7719i | 0.0833266 | + | 0.144326i | 0.904677 | − | 0.426098i | \(-0.140112\pi\) |
−0.821350 | + | 0.570424i | \(0.806779\pi\) | |||||||
\(332\) | −13.6751 | + | 23.6859i | −0.0411900 | + | 0.0713431i | ||||
\(333\) | −9.34111 | + | 6.32976i | −0.0280514 | + | 0.0190083i | ||||
\(334\) | −191.635 | − | 331.922i | −0.573758 | − | 0.993778i | ||||
\(335\) | 282.404 | + | 409.574i | 0.842998 | + | 1.22261i | ||||
\(336\) | 47.5428 | − | 295.976i | 0.141496 | − | 0.880881i | ||||
\(337\) | − | 300.345i | − | 0.891232i | −0.895224 | − | 0.445616i | \(-0.852985\pi\) | ||
0.895224 | − | 0.445616i | \(-0.147015\pi\) | |||||||
\(338\) | −112.412 | − | 194.704i | −0.332581 | − | 0.576047i | ||||
\(339\) | 10.7475 | + | 298.616i | 0.0317036 | + | 0.880873i | ||||
\(340\) | −3.82629 | − | 47.6968i | −0.0112538 | − | 0.140285i | ||||
\(341\) | 119.080 | − | 68.7511i | 0.349209 | − | 0.201616i | ||||
\(342\) | 103.739 | − | 213.856i | 0.303330 | − | 0.625309i | ||||
\(343\) | −285.824 | − | 189.615i | −0.833305 | − | 0.552814i | ||||
\(344\) | 480.738i | 1.39749i | ||||||||
\(345\) | 10.5665 | − | 1.23152i | 0.0306276 | − | 0.00356961i | ||||
\(346\) | −14.7798 | + | 25.5993i | −0.0427161 | + | 0.0739865i | ||||
\(347\) | −71.3734 | + | 123.622i | −0.205687 | + | 0.356260i | −0.950351 | − | 0.311179i | \(-0.899276\pi\) |
0.744664 | + | 0.667439i | \(0.232610\pi\) | |||||||
\(348\) | 9.15672 | − | 17.2658i | 0.0263124 | − | 0.0496143i | ||||
\(349\) | 46.0748 | 0.132020 | 0.0660098 | − | 0.997819i | \(-0.478973\pi\) | ||||
0.0660098 | + | 0.997819i | \(0.478973\pi\) | |||||||
\(350\) | 155.970 | + | 293.506i | 0.445628 | + | 0.838588i | ||||
\(351\) | 455.044 | − | 49.3029i | 1.29642 | − | 0.140464i | ||||
\(352\) | 52.3286 | − | 30.2119i | 0.148661 | − | 0.0858294i | ||||
\(353\) | 163.141 | − | 282.568i | 0.462155 | − | 0.800476i | −0.536913 | − | 0.843637i | \(-0.680410\pi\) |
0.999068 | + | 0.0431618i | \(0.0137431\pi\) | |||||||
\(354\) | 498.873 | − | 17.9550i | 1.40925 | − | 0.0507203i | ||||
\(355\) | −108.900 | + | 229.204i | −0.306761 | + | 0.645645i | ||||
\(356\) | 35.5217i | 0.0997801i | ||||||||
\(357\) | 478.118 | − | 182.332i | 1.33927 | − | 0.510733i | ||||
\(358\) | − | 59.5571i | − | 0.166361i | ||||||
\(359\) | −78.5207 | + | 45.3340i | −0.218721 | + | 0.126278i | −0.605358 | − | 0.795954i | \(-0.706970\pi\) |
0.386637 | + | 0.922232i | \(0.373637\pi\) | |||||||
\(360\) | 349.813 | + | 136.323i | 0.971702 | + | 0.378675i | ||||
\(361\) | 83.8224 | − | 145.185i | 0.232195 | − | 0.402173i | ||||
\(362\) | 118.991 | + | 206.099i | 0.328705 | + | 0.569333i | ||||
\(363\) | −70.7926 | + | 44.3414i | −0.195021 | + | 0.122153i | ||||
\(364\) | −44.1152 | + | 15.0294i | −0.121196 | + | 0.0412896i | ||||
\(365\) | −267.115 | − | 387.400i | −0.731822 | − | 1.06137i | ||||
\(366\) | 525.917 | + | 278.914i | 1.43693 | + | 0.762061i | ||||
\(367\) | −255.238 | − | 147.362i | −0.695471 | − | 0.401531i | 0.110187 | − | 0.993911i | \(-0.464855\pi\) |
−0.805658 | + | 0.592380i | \(0.798188\pi\) | |||||||
\(368\) | 5.06186 | − | 8.76739i | 0.0137550 | − | 0.0238244i | ||||
\(369\) | 15.5943 | + | 216.360i | 0.0422609 | + | 0.586341i | ||||
\(370\) | −6.75847 | − | 9.80190i | −0.0182661 | − | 0.0264916i | ||||
\(371\) | −39.1830 | − | 115.012i | −0.105615 | − | 0.310006i | ||||
\(372\) | −14.2255 | + | 8.91024i | −0.0382406 | + | 0.0239523i | ||||
\(373\) | −35.1907 | + | 20.3173i | −0.0943450 | + | 0.0544701i | −0.546430 | − | 0.837505i | \(-0.684014\pi\) |
0.452085 | + | 0.891975i | \(0.350680\pi\) | |||||||
\(374\) | −386.833 | − | 223.338i | −1.03431 | − | 0.597161i | ||||
\(375\) | −360.795 | + | 102.236i | −0.962119 | + | 0.272630i | ||||
\(376\) | −134.190 | − | 232.423i | −0.356887 | − | 0.618147i | ||||
\(377\) | 281.187 | 0.745855 | ||||||||
\(378\) | −31.3045 | + | 357.596i | −0.0828160 | + | 0.946021i | ||||
\(379\) | −32.1947 | −0.0849463 | −0.0424732 | − | 0.999098i | \(-0.513524\pi\) | ||||
−0.0424732 | + | 0.999098i | \(0.513524\pi\) | |||||||
\(380\) | −24.6638 | − | 11.7183i | −0.0649047 | − | 0.0308378i | ||||
\(381\) | 267.542 | − | 9.62912i | 0.702209 | − | 0.0252733i | ||||
\(382\) | −79.8553 | − | 46.1045i | −0.209045 | − | 0.120692i | ||||
\(383\) | 125.563 | + | 217.482i | 0.327841 | + | 0.567838i | 0.982083 | − | 0.188448i | \(-0.0603456\pi\) |
−0.654242 | + | 0.756285i | \(0.727012\pi\) | |||||||
\(384\) | 269.469 | − | 168.784i | 0.701742 | − | 0.439541i | ||||
\(385\) | −335.571 | − | 38.8283i | −0.871614 | − | 0.100853i | ||||
\(386\) | 32.7495i | 0.0848432i | ||||||||
\(387\) | −37.2812 | − | 517.251i | −0.0963338 | − | 1.33657i | ||||
\(388\) | −30.7651 | − | 17.7623i | −0.0792916 | − | 0.0457790i | ||||
\(389\) | 24.1611 | + | 13.9494i | 0.0621108 | + | 0.0358597i | 0.530734 | − | 0.847539i | \(-0.321916\pi\) |
−0.468623 | + | 0.883398i | \(0.655250\pi\) | |||||||
\(390\) | 55.9090 | + | 479.704i | 0.143356 | + | 1.23001i | ||||
\(391\) | 17.2811 | 0.0441971 | ||||||||
\(392\) | −54.2550 | − | 405.193i | −0.138406 | − | 1.03366i | ||||
\(393\) | 178.307 | + | 284.673i | 0.453707 | + | 0.724359i | ||||
\(394\) | 336.403 | + | 582.667i | 0.853815 | + | 1.47885i | ||||
\(395\) | 2.96880 | + | 37.0076i | 0.00751594 | + | 0.0936902i | ||||
\(396\) | −28.2426 | + | 19.1379i | −0.0713198 | + | 0.0483280i | ||||
\(397\) | −281.690 | + | 162.634i | −0.709546 | + | 0.409657i | −0.810893 | − | 0.585195i | \(-0.801018\pi\) |
0.101347 | + | 0.994851i | \(0.467685\pi\) | |||||||
\(398\) | 29.4533 | 0.0740033 | ||||||||
\(399\) | 46.3120 | − | 288.314i | 0.116070 | − | 0.722591i | ||||
\(400\) | −126.884 | + | 333.551i | −0.317209 | + | 0.833877i | ||||
\(401\) | 324.443 | − | 187.317i | 0.809084 | − | 0.467125i | −0.0375536 | − | 0.999295i | \(-0.511956\pi\) |
0.846638 | + | 0.532170i | \(0.178623\pi\) | |||||||
\(402\) | −566.564 | + | 20.3913i | −1.40936 | + | 0.0507245i | ||||
\(403\) | −209.151 | − | 120.753i | −0.518984 | − | 0.299636i | ||||
\(404\) | −18.5257 | + | 10.6958i | −0.0458558 | + | 0.0264748i | ||||
\(405\) | −386.954 | − | 119.549i | −0.955441 | − | 0.295183i | ||||
\(406\) | −42.7836 | + | 216.335i | −0.105378 | + | 0.532846i | ||||
\(407\) | 12.1008 | 0.0297317 | ||||||||
\(408\) | 538.800 | + | 285.747i | 1.32059 | + | 0.700359i | ||||
\(409\) | 210.447 | − | 364.506i | 0.514541 | − | 0.891212i | −0.485316 | − | 0.874339i | \(-0.661296\pi\) |
0.999858 | − | 0.0168731i | \(-0.00537114\pi\) | |||||||
\(410\) | −228.152 | + | 18.3027i | −0.556469 | + | 0.0446407i | ||||
\(411\) | −234.642 | − | 124.440i | −0.570904 | − | 0.302773i | ||||
\(412\) | 42.9891i | 0.104342i | ||||||||
\(413\) | 580.516 | − | 197.774i | 1.40561 | − | 0.478871i | ||||
\(414\) | −5.29096 | + | 10.9072i | −0.0127801 | + | 0.0263459i | ||||
\(415\) | 314.498 | + | 149.425i | 0.757827 | + | 0.360061i | ||||
\(416\) | −91.9090 | − | 53.0637i | −0.220935 | − | 0.127557i | ||||
\(417\) | 0.633524 | + | 17.6022i | 0.00151924 | + | 0.0422116i | ||||
\(418\) | −220.750 | + | 127.450i | −0.528111 | + | 0.304905i | ||||
\(419\) | 481.407i | 1.14894i | 0.818524 | + | 0.574472i | \(0.194792\pi\) | ||||
−0.818524 | + | 0.574472i | \(0.805208\pi\) | |||||||
\(420\) | 41.1090 | + | 3.26349i | 0.0978785 | + | 0.00777022i | ||||
\(421\) | −125.377 | −0.297807 | −0.148904 | − | 0.988852i | \(-0.547574\pi\) | ||||
−0.148904 | + | 0.988852i | \(0.547574\pi\) | |||||||
\(422\) | −337.898 | − | 585.256i | −0.800706 | − | 1.38686i | ||||
\(423\) | 162.406 | + | 239.670i | 0.383938 | + | 0.566595i | ||||
\(424\) | 72.4077 | − | 125.414i | 0.170773 | − | 0.295787i | ||||
\(425\) | −601.382 | + | 97.1122i | −1.41502 | + | 0.228499i | ||||
\(426\) | −153.502 | − | 245.071i | −0.360333 | − | 0.575283i | ||||
\(427\) | 717.452 | + | 141.887i | 1.68022 | + | 0.332288i | ||||
\(428\) | −31.2639 | −0.0730465 | ||||||||
\(429\) | −433.642 | − | 229.977i | −1.01082 | − | 0.536077i | ||||
\(430\) | 545.443 | − | 43.7561i | 1.26847 | − | 0.101758i | ||||
\(431\) | −294.379 | − | 169.960i | −0.683013 | − | 0.394338i | 0.117976 | − | 0.993016i | \(-0.462359\pi\) |
−0.800989 | + | 0.598678i | \(0.795693\pi\) | |||||||
\(432\) | −311.082 | + | 227.542i | −0.720098 | + | 0.526718i | ||||
\(433\) | − | 184.329i | − | 0.425703i | −0.977085 | − | 0.212852i | \(-0.931725\pi\) | ||
0.977085 | − | 0.212852i | \(-0.0682751\pi\) | |||||||
\(434\) | 124.726 | − | 142.540i | 0.287387 | − | 0.328433i | ||||
\(435\) | −228.426 | − | 98.6229i | −0.525118 | − | 0.226719i | ||||
\(436\) | 27.8005 | + | 48.1518i | 0.0637625 | + | 0.110440i | ||||
\(437\) | 4.93081 | − | 8.54042i | 0.0112833 | − | 0.0195433i | ||||
\(438\) | 535.891 | − | 19.2873i | 1.22349 | − | 0.0440349i | ||||
\(439\) | −62.0405 | − | 107.457i | −0.141322 | − | 0.244777i | 0.786673 | − | 0.617371i | \(-0.211802\pi\) |
−0.927995 | + | 0.372593i | \(0.878469\pi\) | |||||||
\(440\) | −228.549 | − | 331.468i | −0.519430 | − | 0.753336i | ||||
\(441\) | 89.7985 | + | 431.761i | 0.203625 | + | 0.979049i | ||||
\(442\) | 784.535i | 1.77497i | ||||||||
\(443\) | −280.029 | − | 485.025i | −0.632121 | − | 1.09487i | −0.987117 | − | 0.159998i | \(-0.948851\pi\) |
0.354997 | − | 0.934868i | \(-0.384482\pi\) | |||||||
\(444\) | −1.47625 | + | 0.0531320i | −0.00332490 | + | 0.000119667i | ||||
\(445\) | 450.774 | − | 36.1617i | 1.01298 | − | 0.0812622i | ||||
\(446\) | −206.829 | + | 119.413i | −0.463742 | + | 0.267742i | ||||
\(447\) | −9.16399 | − | 14.6306i | −0.0205011 | − | 0.0327307i | ||||
\(448\) | 318.014 | − | 363.434i | 0.709852 | − | 0.811236i | ||||
\(449\) | − | 397.281i | − | 0.884814i | −0.896814 | − | 0.442407i | \(-0.854125\pi\) | ||
0.896814 | − | 0.442407i | \(-0.145875\pi\) | |||||||
\(450\) | 122.832 | − | 409.304i | 0.272960 | − | 0.909564i | ||||
\(451\) | 116.315 | − | 201.463i | 0.257904 | − | 0.446702i | ||||
\(452\) | −19.5593 | + | 33.8778i | −0.0432729 | + | 0.0749508i | ||||
\(453\) | −696.738 | − | 369.507i | −1.53805 | − | 0.815690i | ||||
\(454\) | −743.788 | −1.63830 | ||||||||
\(455\) | 235.635 | + | 544.526i | 0.517879 | + | 1.19676i | ||||
\(456\) | 294.954 | − | 184.746i | 0.646828 | − | 0.405145i | ||||
\(457\) | −608.910 | + | 351.555i | −1.33241 | + | 0.769266i | −0.985668 | − | 0.168695i | \(-0.946045\pi\) |
−0.346740 | + | 0.937961i | \(0.612711\pi\) | |||||||
\(458\) | −120.322 | + | 208.405i | −0.262713 | + | 0.455032i | ||||
\(459\) | −601.882 | − | 265.666i | −1.31129 | − | 0.578792i | ||||
\(460\) | 1.25792 | + | 0.597667i | 0.00273461 | + | 0.00129928i | ||||
\(461\) | − | 780.964i | − | 1.69406i | −0.531542 | − | 0.847032i | \(-0.678387\pi\) | ||
0.531542 | − | 0.847032i | \(-0.321613\pi\) | |||||||
\(462\) | 242.916 | − | 298.636i | 0.525792 | − | 0.646399i | ||||
\(463\) | − | 880.813i | − | 1.90240i | −0.308570 | − | 0.951202i | \(-0.599850\pi\) | ||
0.308570 | − | 0.951202i | \(-0.400150\pi\) | |||||||
\(464\) | −205.056 | + | 118.389i | −0.441930 | + | 0.255149i | ||||
\(465\) | 127.554 | + | 171.453i | 0.274309 | + | 0.368715i | ||||
\(466\) | −355.259 | + | 615.327i | −0.762359 | + | 1.32044i | ||||
\(467\) | 25.2777 | + | 43.7822i | 0.0541278 | + | 0.0937521i | 0.891820 | − | 0.452391i | \(-0.149429\pi\) |
−0.837692 | + | 0.546143i | \(0.816095\pi\) | |||||||
\(468\) | 53.9125 | + | 26.1523i | 0.115198 | + | 0.0558811i | ||||
\(469\) | −659.285 | + | 224.609i | −1.40573 | + | 0.478911i | ||||
\(470\) | −251.492 | + | 173.406i | −0.535090 | + | 0.368948i | ||||
\(471\) | −220.086 | + | 414.991i | −0.467274 | + | 0.881086i | ||||
\(472\) | 633.019 | + | 365.474i | 1.34114 | + | 0.774309i | ||||
\(473\) | −278.073 | + | 481.637i | −0.587892 | + | 1.01826i | ||||
\(474\) | −37.3771 | − | 19.8225i | −0.0788546 | − | 0.0418197i | ||||
\(475\) | −123.599 | + | 324.916i | −0.260208 | + | 0.684033i | ||||
\(476\) | 65.7172 | + | 12.9966i | 0.138061 | + | 0.0273037i | ||||
\(477\) | −68.1814 | + | 140.555i | −0.142938 | + | 0.294664i | ||||
\(478\) | −135.198 | + | 78.0569i | −0.282842 | + | 0.163299i | ||||
\(479\) | 568.259 | + | 328.084i | 1.18634 | + | 0.684936i | 0.957474 | − | 0.288521i | \(-0.0931636\pi\) |
0.228870 | + | 0.973457i | \(0.426497\pi\) | |||||||
\(480\) | 56.0522 | + | 75.3430i | 0.116775 | + | 0.156965i | ||||
\(481\) | −10.6268 | − | 18.4062i | −0.0220932 | − | 0.0382665i | ||||
\(482\) | −395.948 | −0.821469 | ||||||||
\(483\) | −2.36204 | + | 14.7048i | −0.00489034 | + | 0.0304447i | ||||
\(484\) | −10.9357 | −0.0225945 | ||||||||
\(485\) | −194.086 | + | 408.495i | −0.400177 | + | 0.842258i | ||||
\(486\) | 351.957 | − | 298.548i | 0.724192 | − | 0.614295i | ||||
\(487\) | −701.394 | − | 404.950i | −1.44023 | − | 0.831520i | −0.442370 | − | 0.896833i | \(-0.645862\pi\) |
−0.997865 | + | 0.0653129i | \(0.979195\pi\) | |||||||
\(488\) | 435.833 | + | 754.886i | 0.893101 | + | 1.54690i | ||||
\(489\) | −4.77038 | − | 7.61607i | −0.00975537 | − | 0.0155748i | ||||
\(490\) | −454.792 | + | 98.4376i | −0.928146 | + | 0.200893i | ||||
\(491\) | 406.082i | 0.827051i | 0.910492 | + | 0.413526i | \(0.135703\pi\) | ||||
−0.910492 | + | 0.413526i | \(0.864297\pi\) | |||||||
\(492\) | −13.3054 | + | 25.0885i | −0.0270435 | + | 0.0509928i | ||||
\(493\) | −350.028 | − | 202.089i | −0.709996 | − | 0.409917i | ||||
\(494\) | 387.722 | + | 223.851i | 0.784863 | + | 0.453141i | ||||
\(495\) | 271.613 | + | 338.920i | 0.548714 | + | 0.684686i | ||||
\(496\) | 203.364 | 0.410008 | ||||||||
\(497\) | −267.359 | − | 233.946i | −0.537946 | − | 0.470716i | ||||
\(498\) | −336.270 | + | 210.625i | −0.675240 | + | 0.422941i | ||||
\(499\) | 341.349 | + | 591.233i | 0.684065 | + | 1.18484i | 0.973730 | + | 0.227708i | \(0.0731230\pi\) |
−0.289664 | + | 0.957128i | \(0.593544\pi\) | |||||||
\(500\) | −47.1342 | − | 13.7299i | −0.0942685 | − | 0.0274597i | ||||
\(501\) | 21.7747 | + | 605.002i | 0.0434625 | + | 1.20759i | ||||
\(502\) | 459.442 | − | 265.259i | 0.915223 | − | 0.528404i | ||||
\(503\) | 296.107 | 0.588682 | 0.294341 | − | 0.955701i | \(-0.404900\pi\) | ||||
0.294341 | + | 0.955701i | \(0.404900\pi\) | |||||||
\(504\) | −316.792 | + | 419.417i | −0.628555 | + | 0.832177i | ||||
\(505\) | 154.591 | + | 224.205i | 0.306121 | + | 0.443971i | ||||
\(506\) | 11.2589 | − | 6.50030i | 0.0222507 | − | 0.0128465i | ||||
\(507\) | 12.7729 | + | 354.891i | 0.0251932 | + | 0.699983i | ||||
\(508\) | 30.3524 | + | 17.5240i | 0.0597489 | + | 0.0344960i | ||||
\(509\) | 722.798 | − | 417.308i | 1.42004 | − | 0.819858i | 0.423735 | − | 0.905786i | \(-0.360719\pi\) |
0.996301 | + | 0.0859284i | \(0.0273856\pi\) | |||||||
\(510\) | 275.166 | − | 637.328i | 0.539541 | − | 1.24966i | ||||
\(511\) | 623.592 | − | 212.449i | 1.22034 | − | 0.415751i | ||||
\(512\) | 565.746 | 1.10497 | ||||||||
\(513\) | −303.029 | + | 221.652i | −0.590700 | + | 0.432070i | ||||
\(514\) | 153.229 | − | 265.400i | 0.298110 | − | 0.516342i | ||||
\(515\) | 545.536 | − | 43.7636i | 1.05929 | − | 0.0849778i | ||||
\(516\) | 31.8091 | − | 59.9789i | 0.0616456 | − | 0.116238i | ||||
\(517\) | − | 310.477i | − | 0.600535i | ||||||
\(518\) | 15.7780 | − | 5.37533i | 0.0304594 | − | 0.0103771i | ||||
\(519\) | 39.5695 | − | 24.7846i | 0.0762418 | − | 0.0477546i | ||||
\(520\) | −303.476 | + | 638.732i | −0.583608 | + | 1.22833i | ||||
\(521\) | 619.025 | + | 357.394i | 1.18815 | + | 0.685977i | 0.957885 | − | 0.287152i | \(-0.0927083\pi\) |
0.230262 | + | 0.973129i | \(0.426042\pi\) | |||||||
\(522\) | 234.720 | − | 159.052i | 0.449654 | − | 0.304697i | ||||
\(523\) | 195.670 | − | 112.970i | 0.374130 | − | 0.216004i | −0.301131 | − | 0.953583i | \(-0.597364\pi\) |
0.675261 | + | 0.737579i | \(0.264031\pi\) | |||||||
\(524\) | 43.9751i | 0.0839219i | ||||||||
\(525\) | −0.435566 | − | 525.000i | −0.000829650 | − | 1.00000i | ||||
\(526\) | 58.9102 | 0.111997 | ||||||||
\(527\) | 173.570 | + | 300.632i | 0.329355 | + | 0.570460i | ||||
\(528\) | 413.061 | − | 14.8665i | 0.782312 | − | 0.0281563i | ||||
\(529\) | 264.249 | − | 457.692i | 0.499525 | − | 0.865202i | ||||
\(530\) | −148.884 | − | 70.7385i | −0.280914 | − | 0.133469i | ||||
\(531\) | −709.440 | − | 344.142i | −1.33605 | − | 0.648101i | ||||
\(532\) | 25.1741 | − | 28.7695i | 0.0473197 | − | 0.0540781i | ||||
\(533\) | −408.586 | −0.766577 | ||||||||
\(534\) | −241.450 | + | 455.274i | −0.452153 | + | 0.852574i | ||||
\(535\) | 31.8272 | + | 396.742i | 0.0594900 | + | 0.741574i | ||||
\(536\) | −718.912 | − | 415.064i | −1.34125 | − | 0.774373i | ||||
\(537\) | −44.0760 | + | 83.1090i | −0.0820781 | + | 0.154765i | ||||
\(538\) | − | 596.312i | − | 1.10839i | ||||||
\(539\) | 180.019 | − | 437.333i | 0.333987 | − | 0.811378i | ||||
\(540\) | −34.6240 | − | 40.1544i | −0.0641185 | − | 0.0743600i | ||||
\(541\) | −315.187 | − | 545.919i | −0.582600 | − | 1.00909i | −0.995170 | − | 0.0981672i | \(-0.968702\pi\) |
0.412570 | − | 0.910926i | \(-0.364631\pi\) | |||||||
\(542\) | −243.251 | + | 421.323i | −0.448803 | + | 0.777349i | ||||
\(543\) | −13.5205 | − | 375.661i | −0.0248996 | − | 0.691825i | ||||
\(544\) | 76.2736 | + | 132.110i | 0.140209 | + | 0.242849i | ||||
\(545\) | 582.750 | − | 401.810i | 1.06927 | − | 0.737267i | ||||
\(546\) | −667.574 | − | 107.233i | −1.22266 | − | 0.196397i | ||||
\(547\) | 300.639i | 0.549615i | 0.961499 | + | 0.274807i | \(0.0886141\pi\) | ||||
−0.961499 | + | 0.274807i | \(0.911386\pi\) | |||||||
\(548\) | −17.3854 | − | 30.1124i | −0.0317251 | − | 0.0549496i | ||||
\(549\) | −527.477 | − | 778.422i | −0.960796 | − | 1.41789i | ||||
\(550\) | −355.280 | + | 289.481i | −0.645963 | + | 0.526328i | ||||
\(551\) | −199.747 | + | 115.324i | −0.362518 | + | 0.209300i | ||||
\(552\) | −15.0434 | + | 9.42254i | −0.0272526 | + | 0.0170698i | ||||
\(553\) | −50.9896 | − | 10.0839i | −0.0922053 | − | 0.0182350i | ||||
\(554\) | 621.036i | 1.12100i | ||||||||
\(555\) | 2.17710 | + | 18.6797i | 0.00392271 | + | 0.0336572i | ||||
\(556\) | −1.15295 | + | 1.99696i | −0.00207365 | + | 0.00359166i | ||||
\(557\) | −217.246 | + | 376.281i | −0.390028 | + | 0.675549i | −0.992453 | − | 0.122627i | \(-0.960868\pi\) |
0.602425 | + | 0.798176i | \(0.294201\pi\) | |||||||
\(558\) | −242.891 | + | 17.5065i | −0.435288 | + | 0.0313736i | ||||
\(559\) | 976.805 | 1.74741 | ||||||||
\(560\) | −401.100 | − | 297.886i | −0.716250 | − | 0.531939i | ||||
\(561\) | 374.523 | + | 597.938i | 0.667598 | + | 1.06584i | ||||
\(562\) | 667.404 | − | 385.326i | 1.18755 | − | 0.685633i | ||||
\(563\) | 227.729 | − | 394.438i | 0.404492 | − | 0.700601i | −0.589770 | − | 0.807571i | \(-0.700782\pi\) |
0.994262 | + | 0.106970i | \(0.0341150\pi\) | |||||||
\(564\) | 1.36324 | + | 37.8770i | 0.00241709 | + | 0.0671579i | ||||
\(565\) | 449.825 | + | 213.722i | 0.796150 | + | 0.378269i | ||||
\(566\) | 863.714i | 1.52600i | ||||||||
\(567\) | 308.327 | − | 475.840i | 0.543786 | − | 0.839224i | ||||
\(568\) | − | 423.425i | − | 0.745466i | ||||||
\(569\) | 374.954 | − | 216.480i | 0.658970 | − | 0.380457i | −0.132914 | − | 0.991128i | \(-0.542434\pi\) |
0.791884 | + | 0.610671i | \(0.209100\pi\) | |||||||
\(570\) | −236.458 | − | 317.838i | −0.414839 | − | 0.557610i | ||||
\(571\) | −107.252 | + | 185.766i | −0.187832 | + | 0.325335i | −0.944527 | − | 0.328433i | \(-0.893479\pi\) |
0.756695 | + | 0.653768i | \(0.226813\pi\) | |||||||
\(572\) | −32.1299 | − | 55.6507i | −0.0561712 | − | 0.0972914i | ||||
\(573\) | 77.3139 | + | 123.434i | 0.134928 | + | 0.215418i | ||||
\(574\) | 62.1676 | − | 314.351i | 0.108306 | − | 0.547650i | ||||
\(575\) | 6.30387 | − | 16.5716i | 0.0109633 | − | 0.0288201i | ||||
\(576\) | −619.298 | + | 44.6362i | −1.07517 | + | 0.0774935i | ||||
\(577\) | −179.599 | − | 103.691i | −0.311263 | − | 0.179708i | 0.336228 | − | 0.941780i | \(-0.390849\pi\) |
−0.647492 | + | 0.762073i | \(0.724182\pi\) | |||||||
\(578\) | 289.398 | − | 501.253i | 0.500689 | − | 0.867219i | ||||
\(579\) | 24.2366 | − | 45.7002i | 0.0418595 | − | 0.0789296i | ||||
\(580\) | −18.4899 | − | 26.8161i | −0.0318791 | − | 0.0462347i | ||||
\(581\) | −321.005 | + | 366.852i | −0.552504 | + | 0.631415i | ||||
\(582\) | −273.576 | − | 436.774i | −0.470062 | − | 0.750470i | ||||
\(583\) | 145.086 | − | 83.7655i | 0.248861 | − | 0.143680i | ||||
\(584\) | 679.990 | + | 392.593i | 1.16437 | + | 0.672247i | ||||
\(585\) | 276.992 | − | 710.779i | 0.473491 | − | 1.21501i | ||||
\(586\) | −134.763 | − | 233.416i | −0.229971 | − | 0.398321i | ||||
\(587\) | 473.066 | 0.805905 | 0.402953 | − | 0.915221i | \(-0.367984\pi\) | ||||
0.402953 | + | 0.915221i | \(0.367984\pi\) | |||||||
\(588\) | −20.0414 | + | 54.1435i | −0.0340841 | + | 0.0920807i | ||||
\(589\) | 198.099 | 0.336332 | ||||||||
\(590\) | 357.048 | − | 751.485i | 0.605166 | − | 1.27370i | ||||
\(591\) | −38.2241 | − | 1062.04i | −0.0646769 | − | 1.79702i | ||||
\(592\) | 15.4992 | + | 8.94847i | 0.0261811 | + | 0.0151157i | ||||
\(593\) | −220.683 | − | 382.234i | −0.372146 | − | 0.644576i | 0.617749 | − | 0.786375i | \(-0.288045\pi\) |
−0.989895 | + | 0.141799i | \(0.954711\pi\) | |||||||
\(594\) | −492.065 | + | 53.3141i | −0.828392 | + | 0.0897544i | ||||
\(595\) | 98.0266 | − | 847.189i | 0.164751 | − | 1.42385i | ||||
\(596\) | − | 2.26008i | − | 0.00379207i | ||||||
\(597\) | −41.1006 | − | 21.7973i | −0.0688453 | − | 0.0365113i | ||||
\(598\) | −19.7749 | − | 11.4170i | −0.0330683 | − | 0.0190920i | ||||
\(599\) | −98.8142 | − | 57.0504i | −0.164965 | − | 0.0952427i | 0.415244 | − | 0.909710i | \(-0.363696\pi\) |
−0.580210 | + | 0.814467i | \(0.697029\pi\) | |||||||
\(600\) | 470.560 | − | 412.442i | 0.784267 | − | 0.687404i | ||||
\(601\) | −1061.91 | −1.76691 | −0.883454 | − | 0.468518i | \(-0.844788\pi\) | ||||
−0.883454 | + | 0.468518i | \(0.844788\pi\) | |||||||
\(602\) | −148.624 | + | 751.518i | −0.246884 | + | 1.24837i | ||||
\(603\) | 805.703 | + | 390.837i | 1.33616 | + | 0.648155i | ||||
\(604\) | −51.6236 | − | 89.4148i | −0.0854696 | − | 0.148038i | ||||
\(605\) | 11.1328 | + | 138.776i | 0.0184013 | + | 0.229382i | ||||
\(606\) | −310.143 | + | 11.1624i | −0.511787 | + | 0.0184198i | ||||
\(607\) | 187.998 | − | 108.541i | 0.309716 | − | 0.178815i | −0.337083 | − | 0.941475i | \(-0.609440\pi\) |
0.646800 | + | 0.762660i | \(0.276107\pi\) | |||||||
\(608\) | 87.0527 | 0.143179 | ||||||||
\(609\) | 219.804 | − | 270.223i | 0.360926 | − | 0.443716i | ||||
\(610\) | 816.821 | − | 563.203i | 1.33905 | − | 0.923284i | ||||
\(611\) | −472.257 | + | 272.658i | −0.772925 | + | 0.446248i | ||||
\(612\) | −48.3158 | − | 71.3019i | −0.0789474 | − | 0.116506i | ||||
\(613\) | −40.6966 | − | 23.4962i | −0.0663893 | − | 0.0383299i | 0.466438 | − | 0.884554i | \(-0.345537\pi\) |
−0.532827 | + | 0.846224i | \(0.678870\pi\) | |||||||
\(614\) | −308.935 | + | 178.364i | −0.503152 | + | 0.290495i | ||||
\(615\) | 331.920 | + | 143.306i | 0.539708 | + | 0.233018i | ||||
\(616\) | 533.558 | − | 181.776i | 0.866166 | − | 0.295091i | ||||
\(617\) | 140.650 | 0.227958 | 0.113979 | − | 0.993483i | \(-0.463640\pi\) | ||||
0.113979 | + | 0.993483i | \(0.463640\pi\) | |||||||
\(618\) | −292.207 | + | 550.982i | −0.472827 | + | 0.891557i | ||||
\(619\) | 41.4260 | − | 71.7519i | 0.0669241 | − | 0.115916i | −0.830622 | − | 0.556837i | \(-0.812015\pi\) |
0.897546 | + | 0.440921i | \(0.145348\pi\) | |||||||
\(620\) | 2.23709 | + | 27.8865i | 0.00360821 | + | 0.0449782i | ||||
\(621\) | 15.4553 | − | 11.3048i | 0.0248877 | − | 0.0182042i | ||||
\(622\) | 512.826i | 0.824479i | ||||||||
\(623\) | −122.828 | + | 621.082i | −0.197156 | + | 0.996922i | ||||
\(624\) | −385.359 | − | 615.239i | −0.617563 | − | 0.985960i | ||||
\(625\) | −126.250 | + | 612.116i | −0.202000 | + | 0.979386i | ||||
\(626\) | 104.998 | + | 60.6206i | 0.167728 | + | 0.0968381i | ||||
\(627\) | 402.367 | − | 14.4816i | 0.641734 | − | 0.0230967i | ||||
\(628\) | −53.2572 | + | 30.7481i | −0.0848045 | + | 0.0489619i | ||||
\(629\) | 30.5499i | 0.0485690i | ||||||||
\(630\) | 504.703 | + | 321.255i | 0.801115 | + | 0.509929i | ||||
\(631\) | 243.800 | 0.386371 | 0.193186 | − | 0.981162i | \(-0.438118\pi\) | ||||
0.193186 | + | 0.981162i | \(0.438118\pi\) | |||||||
\(632\) | −30.9748 | − | 53.6499i | −0.0490108 | − | 0.0848891i | ||||
\(633\) | 38.3939 | + | 1066.76i | 0.0606539 | + | 1.68525i | ||||
\(634\) | −188.484 | + | 326.464i | −0.297293 | + | 0.514927i | ||||
\(635\) | 191.482 | − | 403.015i | 0.301546 | − | 0.634670i | ||||
\(636\) | −17.3322 | + | 10.8561i | −0.0272519 | + | 0.0170694i | ||||
\(637\) | −823.305 | + | 110.240i | −1.29247 | + | 0.173061i | ||||
\(638\) | −304.064 | −0.476589 | ||||||||
\(639\) | 32.8365 | + | 455.585i | 0.0513874 | + | 0.712965i | ||||
\(640\) | −42.3764 | − | 528.244i | −0.0662131 | − | 0.825381i | ||||
\(641\) | −115.942 | − | 66.9392i | −0.180877 | − | 0.104429i | 0.406828 | − | 0.913505i | \(-0.366635\pi\) |
−0.587705 | + | 0.809076i | \(0.699968\pi\) | |||||||
\(642\) | −400.703 | − | 212.508i | −0.624148 | − | 0.331010i | ||||
\(643\) | 681.323i | 1.05960i | 0.848122 | + | 0.529801i | \(0.177733\pi\) | ||||
−0.848122 | + | 0.529801i | \(0.822267\pi\) | |||||||
\(644\) | −1.28394 | + | 1.46732i | −0.00199370 | + | 0.00227845i | ||||
\(645\) | −793.521 | − | 342.602i | −1.23027 | − | 0.531166i | ||||
\(646\) | −321.763 | − | 557.311i | −0.498086 | − | 0.862710i | ||||
\(647\) | 76.8005 | − | 133.022i | 0.118702 | − | 0.205599i | −0.800551 | − | 0.599264i | \(-0.795460\pi\) |
0.919254 | + | 0.393666i | \(0.128793\pi\) | |||||||
\(648\) | 668.801 | − | 96.9119i | 1.03210 | − | 0.149555i | ||||
\(649\) | 422.801 | + | 732.313i | 0.651466 | + | 1.12837i | ||||
\(650\) | 752.324 | + | 286.186i | 1.15742 | + | 0.440287i | ||||
\(651\) | −279.537 | + | 106.602i | −0.429397 | + | 0.163752i | ||||
\(652\) | − | 1.17650i | − | 0.00180445i | ||||||
\(653\) | −122.460 | − | 212.107i | −0.187534 | − | 0.324819i | 0.756893 | − | 0.653538i | \(-0.226716\pi\) |
−0.944428 | + | 0.328720i | \(0.893383\pi\) | |||||||
\(654\) | 29.0131 | + | 806.118i | 0.0443625 | + | 1.23260i | ||||
\(655\) | 558.049 | − | 44.7674i | 0.851983 | − | 0.0683471i | ||||
\(656\) | 297.961 | − | 172.028i | 0.454209 | − | 0.262237i | ||||
\(657\) | −762.082 | − | 369.678i | −1.15994 | − | 0.562675i | ||||
\(658\) | −137.918 | − | 404.823i | −0.209601 | − | 0.615233i | ||||
\(659\) | − | 758.783i | − | 1.15142i | −0.817655 | − | 0.575708i | \(-0.804727\pi\) | ||
0.817655 | − | 0.575708i | \(-0.195273\pi\) | |||||||
\(660\) | 6.58242 | + | 56.4778i | 0.00997337 | + | 0.0855724i | ||||
\(661\) | −495.701 | + | 858.579i | −0.749926 | + | 1.29891i | 0.197932 | + | 0.980216i | \(0.436578\pi\) |
−0.947858 | + | 0.318694i | \(0.896756\pi\) | |||||||
\(662\) | −52.3842 | + | 90.7321i | −0.0791302 | + | 0.137058i | ||||
\(663\) | 580.604 | − | 1094.78i | 0.875723 | − | 1.65125i | ||||
\(664\) | −580.995 | −0.874992 | ||||||||
\(665\) | −390.716 | − | 290.174i | −0.587543 | − | 0.436352i | ||||
\(666\) | −19.2820 | − | 9.35348i | −0.0289520 | − | 0.0140443i | ||||
\(667\) | 10.1876 | − | 5.88183i | 0.0152738 | − | 0.00881834i | ||||
\(668\) | −39.6277 | + | 68.6371i | −0.0593228 | + | 0.102750i | ||||
\(669\) | 376.993 | − | 13.5684i | 0.563517 | − | 0.0202816i | ||||
\(670\) | −405.495 | + | 853.452i | −0.605217 | + | 1.27381i | ||||
\(671\) | 1008.39i | 1.50282i | ||||||||
\(672\) | −122.840 | + | 46.8453i | −0.182797 | + | 0.0697103i | ||||
\(673\) | 1101.01i | 1.63598i | 0.575235 | + | 0.817988i | \(0.304911\pi\) | ||||
−0.575235 | + | 0.817988i | \(0.695089\pi\) | |||||||
\(674\) | 494.014 | − | 285.219i | 0.732959 | − | 0.423174i | ||||
\(675\) | −474.316 | + | 480.260i | −0.702690 | + | 0.711496i | ||||
\(676\) | −23.2454 | + | 40.2622i | −0.0343867 | + | 0.0595595i | ||||
\(677\) | −68.0959 | − | 117.946i | −0.100585 | − | 0.174218i | 0.811341 | − | 0.584573i | \(-0.198738\pi\) |
−0.911926 | + | 0.410355i | \(0.865405\pi\) | |||||||
\(678\) | −480.964 | + | 301.255i | −0.709386 | + | 0.444329i | ||||
\(679\) | −476.497 | − | 416.947i | −0.701763 | − | 0.614060i | ||||
\(680\) | 836.830 | − | 576.999i | 1.23063 | − | 0.848529i | ||||
\(681\) | 1037.92 | + | 550.449i | 1.52411 | + | 0.808295i | ||||
\(682\) | 226.167 | + | 130.577i | 0.331623 | + | 0.191462i | ||||
\(683\) | −607.226 | + | 1051.75i | −0.889057 | + | 1.53989i | −0.0480644 | + | 0.998844i | \(0.515305\pi\) |
−0.840992 | + | 0.541047i | \(0.818028\pi\) | |||||||
\(684\) | −49.0238 | + | 3.53342i | −0.0716722 | + | 0.00516582i | ||||
\(685\) | −364.431 | + | 251.277i | −0.532015 | + | 0.366828i | ||||
\(686\) | 40.4539 | − | 650.195i | 0.0589707 | − | 0.947806i | ||||
\(687\) | 322.136 | − | 201.772i | 0.468903 | − | 0.293700i | ||||
\(688\) | −712.334 | + | 411.266i | −1.03537 | + | 0.597771i | ||||
\(689\) | −254.827 | − | 147.124i | −0.369850 | − | 0.213533i | ||||
\(690\) | 12.0600 | + | 16.2106i | 0.0174783 | + | 0.0234936i | ||||
\(691\) | −580.261 | − | 1005.04i | −0.839741 | − | 1.45447i | −0.890111 | − | 0.455744i | \(-0.849373\pi\) |
0.0503694 | − | 0.998731i | \(-0.483960\pi\) | |||||||
\(692\) | 6.11253 | 0.00883314 | ||||||||
\(693\) | −559.987 | + | 236.959i | −0.808062 | + | 0.341933i | ||||
\(694\) | −271.116 | −0.390657 | ||||||||
\(695\) | 26.5154 | + | 12.5981i | 0.0381517 | + | 0.0181267i | ||||
\(696\) | 414.894 | − | 14.9325i | 0.596111 | − | 0.0214547i | ||||
\(697\) | 508.616 | + | 293.650i | 0.729722 | + | 0.421305i | ||||
\(698\) | 43.7545 | + | 75.7849i | 0.0626855 | + | 0.108574i | ||||
\(699\) | 951.126 | − | 595.744i | 1.36070 | − | 0.852281i | ||||
\(700\) | 36.4356 | − | 58.2781i | 0.0520508 | − | 0.0832544i | ||||
\(701\) | 1106.20i | 1.57803i | 0.614373 | + | 0.789016i | \(0.289409\pi\) | ||||
−0.614373 | + | 0.789016i | \(0.710591\pi\) | |||||||
\(702\) | 513.222 | + | 701.646i | 0.731085 | + | 0.999496i | ||||
\(703\) | 15.0980 | + | 8.71681i | 0.0214765 | + | 0.0123994i | ||||
\(704\) | 576.657 | + | 332.933i | 0.819115 | + | 0.472916i | ||||
\(705\) | 479.276 | − | 55.8591i | 0.679824 | − | 0.0792327i | ||||
\(706\) | 619.699 | 0.877760 | ||||||||
\(707\) | −360.899 | + | 122.953i | −0.510466 | + | 0.173909i | ||||
\(708\) | −54.7957 | − | 87.4832i | −0.0773950 | − | 0.123564i | ||||
\(709\) | −400.014 | − | 692.845i | −0.564195 | − | 0.977214i | −0.997124 | − | 0.0757864i | \(-0.975853\pi\) |
0.432929 | − | 0.901428i | \(-0.357480\pi\) | |||||||
\(710\) | −480.416 | + | 38.5395i | −0.676642 | + | 0.0542810i | ||||
\(711\) | 37.4880 | + | 55.3227i | 0.0527257 | + | 0.0778097i | ||||
\(712\) | −653.488 | + | 377.291i | −0.917820 | + | 0.529903i | ||||
\(713\) | −10.1036 | −0.0141705 | ||||||||
\(714\) | 753.943 | + | 613.270i | 1.05594 | + | 0.858922i | ||||
\(715\) | −673.504 | + | 464.386i | −0.941964 | + | 0.649491i | ||||
\(716\) | −10.6657 | + | 6.15782i | −0.0148962 | + | 0.00860031i | ||||
\(717\) | 246.430 | − | 8.86928i | 0.343695 | − | 0.0123700i | ||||
\(718\) | −149.133 | − | 86.1018i | −0.207706 | − | 0.119919i | ||||
\(719\) | −679.759 | + | 392.459i | −0.945423 | + | 0.545840i | −0.891656 | − | 0.452714i | \(-0.850456\pi\) |
−0.0537665 | + | 0.998554i | \(0.517123\pi\) | |||||||
\(720\) | 97.2645 | + | 634.958i | 0.135090 | + | 0.881886i | ||||
\(721\) | −148.649 | + | 751.646i | −0.206171 | + | 1.04251i | ||||
\(722\) | 318.404 | 0.441002 | ||||||||
\(723\) | 552.526 | + | 293.026i | 0.764213 | + | 0.405292i | ||||
\(724\) | 24.6058 | − | 42.6185i | 0.0339859 | − | 0.0588653i | ||||
\(725\) | −321.477 | + | 261.938i | −0.443416 | + | 0.361294i | ||||
\(726\) | −140.161 | − | 74.3330i | −0.193060 | − | 0.102387i | ||||
\(727\) | − | 579.070i | − | 0.796520i | −0.917273 | − | 0.398260i | \(-0.869614\pi\) | ||
0.917273 | − | 0.398260i | \(-0.130386\pi\) | |||||||
\(728\) | −745.060 | − | 651.947i | −1.02343 | − | 0.895531i | ||||
\(729\) | −712.083 | + | 156.138i | −0.976794 | + | 0.214181i | ||||
\(730\) | 383.542 | − | 807.247i | 0.525400 | − | 1.10582i | ||||
\(731\) | −1215.95 | − | 702.028i | −1.66340 | − | 0.960367i | ||||
\(732\) | −4.42765 | − | 123.021i | −0.00604870 | − | 0.168061i | ||||
\(733\) | 590.643 | − | 341.008i | 0.805789 | − | 0.465223i | −0.0397023 | − | 0.999212i | \(-0.512641\pi\) |
0.845491 | + | 0.533989i | \(0.179308\pi\) | |||||||
\(734\) | − | 559.762i | − | 0.762618i | ||||||
\(735\) | 707.489 | + | 199.209i | 0.962570 | + | 0.271033i | ||||
\(736\) | −4.43992 | −0.00603249 | ||||||||
\(737\) | −480.170 | − | 831.679i | −0.651520 | − | 1.12847i | ||||
\(738\) | −341.065 | + | 231.114i | −0.462147 | + | 0.313162i | ||||
\(739\) | −439.884 | + | 761.902i | −0.595243 | + | 1.03099i | 0.398270 | + | 0.917268i | \(0.369611\pi\) |
−0.993513 | + | 0.113722i | \(0.963723\pi\) | |||||||
\(740\) | −1.05657 | + | 2.22378i | −0.00142780 | + | 0.00300511i | ||||
\(741\) | −375.383 | − | 599.312i | −0.506590 | − | 0.808788i | ||||
\(742\) | 151.965 | − | 173.669i | 0.204804 | − | 0.234055i | ||||
\(743\) | −77.0002 | −0.103634 | −0.0518171 | − | 0.998657i | \(-0.516501\pi\) | ||||
−0.0518171 | + | 0.998657i | \(0.516501\pi\) | |||||||
\(744\) | −315.016 | − | 167.065i | −0.423408 | − | 0.224550i | ||||
\(745\) | −28.6806 | + | 2.30080i | −0.0384975 | + | 0.00308832i | ||||
\(746\) | −66.8368 | − | 38.5883i | −0.0895936 | − | 0.0517269i | ||||
\(747\) | 625.123 | − | 45.0561i | 0.836844 | − | 0.0603160i | ||||
\(748\) | 92.3669i | 0.123485i | ||||||||
\(749\) | −546.636 | − | 108.106i | −0.729821 | − | 0.144333i | ||||
\(750\) | −510.785 | − | 496.356i | −0.681046 | − | 0.661808i | ||||
\(751\) | −399.639 | − | 692.195i | −0.532142 | − | 0.921697i | −0.999296 | − | 0.0375212i | \(-0.988054\pi\) |
0.467154 | − | 0.884176i | \(-0.345279\pi\) | |||||||
\(752\) | 229.595 | − | 397.671i | 0.305313 | − | 0.528818i | ||||
\(753\) | −837.436 | + | 30.1403i | −1.11213 | + | 0.0400269i | ||||
\(754\) | 267.026 | + | 462.503i | 0.354146 | + | 0.613399i | ||||
\(755\) | −1082.13 | + | 746.135i | −1.43328 | + | 0.988259i | ||||
\(756\) | 67.2759 | − | 31.3670i | 0.0889893 | − | 0.0414907i | ||||
\(757\) | 393.905i | 0.520350i | 0.965561 | + | 0.260175i | \(0.0837803\pi\) | ||||
−0.965561 | + | 0.260175i | \(0.916220\pi\) | |||||||
\(758\) | −30.5733 | − | 52.9545i | −0.0403342 | − | 0.0698608i | ||||
\(759\) | −20.5218 | + | 0.738602i | −0.0270379 | + | 0.000973126i | ||||
\(760\) | −46.3841 | − | 578.202i | −0.0610317 | − | 0.760792i | ||||
\(761\) | 654.465 | − | 377.855i | 0.860006 | − | 0.496525i | −0.00400819 | − | 0.999992i | \(-0.501276\pi\) |
0.864014 | + | 0.503467i | \(0.167943\pi\) | |||||||
\(762\) | 269.906 | + | 430.914i | 0.354207 | + | 0.565504i | ||||
\(763\) | 319.578 | + | 938.044i | 0.418845 | + | 1.22942i | ||||
\(764\) | 19.0676i | 0.0249576i | ||||||||
\(765\) | −855.642 | + | 685.720i | −1.11849 | + | 0.896366i | ||||
\(766\) | −238.479 | + | 413.058i | −0.311331 | + | 0.539241i | ||||
\(767\) | 742.600 | − | 1286.22i | 0.968188 | − | 1.67695i | ||||
\(768\) | −197.865 | − | 104.936i | −0.257637 | − | 0.136635i | ||||
\(769\) | −30.6741 | −0.0398883 | −0.0199441 | − | 0.999801i | \(-0.506349\pi\) | ||||
−0.0199441 | + | 0.999801i | \(0.506349\pi\) | |||||||
\(770\) | −254.806 | − | 588.828i | −0.330917 | − | 0.764712i | ||||
\(771\) | −410.235 | + | 256.954i | −0.532082 | + | 0.333273i | ||||
\(772\) | 5.86487 | − | 3.38608i | 0.00759698 | − | 0.00438612i | ||||
\(773\) | 504.304 | − | 873.480i | 0.652399 | − | 1.12999i | −0.330141 | − | 0.943932i | \(-0.607096\pi\) |
0.982539 | − | 0.186056i | \(-0.0595705\pi\) | |||||||
\(774\) | 815.383 | − | 552.523i | 1.05347 | − | 0.713854i | ||||
\(775\) | 351.605 | − | 56.7778i | 0.453684 | − | 0.0732617i | ||||
\(776\) | − | 754.642i | − | 0.972477i | ||||||
\(777\) | −25.9954 | − | 4.17566i | −0.0334562 | − | 0.00537408i | ||||
\(778\) | 52.9876i | 0.0681075i | ||||||||
\(779\) | 290.247 | − | 167.574i | 0.372590 | − | 0.215115i | ||||
\(780\) | 80.1261 | − | 59.6106i | 0.102726 | − | 0.0764239i | ||||
\(781\) | 244.921 | − | 424.216i | 0.313599 | − | 0.543170i | ||||
\(782\) | 16.4108 | + | 28.4243i | 0.0209857 | + | 0.0363482i | ||||
\(783\) | −445.248 | + | 48.2416i | −0.568643 | + | 0.0616112i | ||||
\(784\) | 553.980 | − | 427.031i | 0.706608 | − | 0.544682i | ||||
\(785\) | 444.413 | + | 644.538i | 0.566131 | + | 0.821068i | ||||
\(786\) | −298.909 | + | 563.620i | −0.380292 | + | 0.717073i | ||||
\(787\) | −817.412 | − | 471.933i | −1.03864 | − | 0.599661i | −0.119194 | − | 0.992871i | \(-0.538031\pi\) |
−0.919449 | + | 0.393210i | \(0.871364\pi\) | |||||||
\(788\) | 69.5638 | − | 120.488i | 0.0882789 | − | 0.152903i | ||||
\(789\) | −82.2063 | − | 43.5972i | −0.104190 | − | 0.0552563i | ||||
\(790\) | −58.0517 | + | 40.0270i | −0.0734831 | + | 0.0506671i | ||||
\(791\) | −459.131 | + | 524.706i | −0.580444 | + | 0.663345i | ||||
\(792\) | −652.054 | − | 316.304i | −0.823300 | − | 0.399374i | ||||
\(793\) | 1533.84 | − | 885.563i | 1.93423 | − | 1.11673i | ||||
\(794\) | −535.007 | − | 308.886i | −0.673812 | − | 0.389026i | ||||
\(795\) | 155.410 | + | 208.896i | 0.195484 | + | 0.262762i | ||||
\(796\) | −3.04528 | − | 5.27458i | −0.00382573 | − | 0.00662636i | ||||
\(797\) | 564.493 | 0.708272 | 0.354136 | − | 0.935194i | \(-0.384775\pi\) | ||||
0.354136 | + | 0.935194i | \(0.384775\pi\) | |||||||
\(798\) | 518.205 | − | 197.619i | 0.649379 | − | 0.247643i | ||||
\(799\) | 783.835 | 0.981020 | ||||||||
\(800\) | 154.509 | − | 24.9504i | 0.193136 | − | 0.0311880i | ||||
\(801\) | 673.862 | − | 456.625i | 0.841276 | − | 0.570069i | ||||
\(802\) | 616.207 | + | 355.767i | 0.768338 | + | 0.443600i | ||||
\(803\) | 454.174 | + | 786.652i | 0.565596 | + | 0.979642i | ||||
\(804\) | 62.2308 | + | 99.3535i | 0.0774014 | + | 0.123574i | ||||
\(805\) | 19.9276 | + | 14.7996i | 0.0247547 | + | 0.0183846i | ||||
\(806\) | − | 458.687i | − | 0.569091i | ||||||
\(807\) | −441.308 | + | 832.124i | −0.546850 | + | 1.03113i | ||||
\(808\) | −393.539 | − | 227.210i | −0.487054 | − | 0.281201i | ||||
\(809\) | −1217.32 | − | 702.823i | −1.50473 | − | 0.868755i | −0.999985 | − | 0.00548514i | \(-0.998254\pi\) |
−0.504743 | − | 0.863270i | \(-0.668413\pi\) | |||||||
\(810\) | −170.829 | − | 749.998i | −0.210900 | − | 0.925924i | ||||
\(811\) | 1478.42 | 1.82296 | 0.911480 | − | 0.411344i | \(-0.134940\pi\) | ||||
0.911480 | + | 0.411344i | \(0.134940\pi\) | |||||||
\(812\) | 43.1655 | − | 14.7059i | 0.0531595 | − | 0.0181107i | ||||
\(813\) | 651.250 | − | 407.915i | 0.801046 | − | 0.501740i | ||||
\(814\) | 11.4914 | + | 19.9037i | 0.0141172 | + | 0.0244517i | ||||
\(815\) | −14.9299 | + | 1.19770i | −0.0183189 | + | 0.00146956i | ||||
\(816\) | 37.5323 | + | 1042.82i | 0.0459954 | + | 1.27797i | ||||
\(817\) | −693.894 | + | 400.620i | −0.849319 | + | 0.490354i | ||||
\(818\) | 799.396 | 0.977257 | ||||||||
\(819\) | 852.207 | + | 643.684i | 1.04055 | + | 0.785939i | ||||
\(820\) | 26.8672 | + | 38.9658i | 0.0327648 | + | 0.0475192i | ||||
\(821\) | 223.836 | − | 129.232i | 0.272638 | − | 0.157408i | −0.357448 | − | 0.933933i | \(-0.616353\pi\) |
0.630086 | + | 0.776526i | \(0.283020\pi\) | |||||||
\(822\) | −18.1437 | − | 504.117i | −0.0220726 | − | 0.613281i | ||||
\(823\) | −225.608 | − | 130.255i | −0.274128 | − | 0.158268i | 0.356634 | − | 0.934244i | \(-0.383924\pi\) |
−0.630762 | + | 0.775976i | \(0.717258\pi\) | |||||||
\(824\) | −790.863 | + | 456.605i | −0.959786 | + | 0.554133i | ||||
\(825\) | 710.008 | − | 141.027i | 0.860616 | − | 0.170942i | ||||
\(826\) | 876.584 | + | 767.033i | 1.06124 | + | 0.928611i | ||||
\(827\) | −1026.67 | −1.24144 | −0.620719 | − | 0.784033i | \(-0.713159\pi\) | ||||
−0.620719 | + | 0.784033i | \(0.713159\pi\) | |||||||
\(828\) | 2.50034 | − | 0.180214i | 0.00301974 | − | 0.000217649i | ||||
\(829\) | −330.653 | + | 572.708i | −0.398858 | + | 0.690842i | −0.993585 | − | 0.113085i | \(-0.963927\pi\) |
0.594727 | + | 0.803927i | \(0.297260\pi\) | |||||||
\(830\) | 52.8814 | + | 659.194i | 0.0637125 | + | 0.794210i | ||||
\(831\) | 459.605 | − | 866.625i | 0.553074 | − | 1.04287i | ||||
\(832\) | − | 1169.51i | − | 1.40567i | ||||||
\(833\) | 1104.10 | + | 454.479i | 1.32545 | + | 0.545593i | ||||
\(834\) | −28.3509 | + | 17.7578i | −0.0339939 | + | 0.0212923i | ||||
\(835\) | 911.354 | + | 433.006i | 1.09144 | + | 0.518570i | ||||
\(836\) | 45.6483 | + | 26.3551i | 0.0546033 | + | 0.0315252i | ||||
\(837\) | 351.898 | + | 155.325i | 0.420427 | + | 0.185573i | ||||
\(838\) | −791.829 | + | 457.163i | −0.944904 | + | 0.545540i | ||||
\(839\) | 454.385i | 0.541579i | 0.962639 | + | 0.270790i | \(0.0872848\pi\) | ||||
−0.962639 | + | 0.270790i | \(0.912715\pi\) | |||||||
\(840\) | 376.598 | + | 790.939i | 0.448331 | + | 0.941594i | ||||
\(841\) | 565.866 | 0.672849 | ||||||||
\(842\) | −119.063 | − | 206.223i | −0.141405 | − | 0.244920i | ||||
\(843\) | −1216.49 | + | 43.7829i | −1.44305 | + | 0.0519371i | ||||
\(844\) | −69.8729 | + | 121.023i | −0.0827878 | + | 0.143393i | ||||
\(845\) | 534.596 | + | 253.999i | 0.632658 | + | 0.300591i | ||||
\(846\) | −239.987 | + | 494.728i | −0.283673 | + | 0.584785i | ||||
\(847\) | −191.207 | − | 37.8141i | −0.225746 | − | 0.0446447i | ||||
\(848\) | 247.776 | 0.292189 | ||||||||
\(849\) | 639.202 | − | 1205.27i | 0.752888 | − | 1.41964i | ||||
\(850\) | −730.828 | − | 896.945i | −0.859798 | − | 1.05523i | ||||
\(851\) | −0.770036 | − | 0.444580i | −0.000904860 | − | 0.000522421i | ||||
\(852\) | −28.0169 | + | 52.8282i | −0.0328836 | + | 0.0620050i | ||||
\(853\) | − | 1346.18i | − | 1.57817i | −0.614284 | − | 0.789085i | \(-0.710555\pi\) | ||
0.614284 | − | 0.789085i | \(-0.289445\pi\) | |||||||
\(854\) | 447.942 | + | 1314.82i | 0.524522 | + | 1.53961i | ||||
\(855\) | 94.7465 | + | 618.520i | 0.110815 | + | 0.723416i | ||||
\(856\) | −332.067 | − | 575.157i | −0.387929 | − | 0.671912i | ||||
\(857\) | 210.443 | − | 364.498i | 0.245558 | − | 0.425319i | −0.716730 | − | 0.697350i | \(-0.754362\pi\) |
0.962288 | + | 0.272032i | \(0.0876955\pi\) | |||||||
\(858\) | −33.5314 | − | 931.658i | −0.0390809 | − | 1.08585i | ||||
\(859\) | −162.130 | − | 280.817i | −0.188743 | − | 0.326912i | 0.756089 | − | 0.654469i | \(-0.227108\pi\) |
−0.944831 | + | 0.327557i | \(0.893775\pi\) | |||||||
\(860\) | −64.2313 | − | 93.1554i | −0.0746875 | − | 0.108320i | ||||
\(861\) | −319.391 | + | 392.653i | −0.370954 | + | 0.456043i | ||||
\(862\) | − | 645.601i | − | 0.748957i | ||||||
\(863\) | −125.612 | − | 217.566i | −0.145553 | − | 0.252105i | 0.784026 | − | 0.620728i | \(-0.213163\pi\) |
−0.929579 | + | 0.368623i | \(0.879829\pi\) | |||||||
\(864\) | 154.638 | + | 68.2558i | 0.178979 | + | 0.0789997i | ||||
\(865\) | −6.22266 | − | 77.5687i | −0.00719382 | − | 0.0896748i | ||||
\(866\) | 303.189 | − | 175.046i | 0.350103 | − | 0.202132i | ||||
\(867\) | −774.799 | + | 485.301i | −0.893655 | + | 0.559747i | ||||
\(868\) | −38.4223 | − | 7.59859i | −0.0442653 | − | 0.00875414i | ||||
\(869\) | − | 71.6669i | − | 0.0824706i | ||||||
\(870\) | −54.7054 | − | 469.377i | −0.0628797 | − | 0.539514i | ||||
\(871\) | −843.362 | + | 1460.75i | −0.968269 | + | 1.67709i | ||||
\(872\) | −590.561 | + | 1022.88i | −0.677249 | + | 1.17303i | ||||
\(873\) | 58.5224 | + | 811.959i | 0.0670360 | + | 0.930079i | ||||
\(874\) | 18.7300 | 0.0214302 | ||||||||
\(875\) | −776.647 | − | 403.043i | −0.887597 | − | 0.460621i | ||||
\(876\) | −58.8616 | − | 93.9746i | −0.0671936 | − | 0.107277i | ||||
\(877\) | 416.468 | − | 240.448i | 0.474879 | − | 0.274171i | −0.243401 | − | 0.969926i | \(-0.578263\pi\) |
0.718280 | + | 0.695754i | \(0.244930\pi\) | |||||||
\(878\) | 117.832 | − | 204.091i | 0.134205 | − | 0.232450i | ||||
\(879\) | 15.3125 | + | 425.453i | 0.0174204 | + | 0.484019i | ||||
\(880\) | 295.631 | − | 622.220i | 0.335945 | − | 0.707068i | ||||
\(881\) | 290.875i | 0.330164i | 0.986280 | + | 0.165082i | \(0.0527889\pi\) | ||||
−0.986280 | + | 0.165082i | \(0.947211\pi\) | |||||||
\(882\) | −624.893 | + | 557.719i | −0.708496 | + | 0.632335i | ||||
\(883\) | 339.928i | 0.384970i | 0.981300 | + | 0.192485i | \(0.0616546\pi\) | ||||
−0.981300 | + | 0.192485i | \(0.938345\pi\) | |||||||
\(884\) | 140.497 | − | 81.1158i | 0.158933 | − | 0.0917599i | ||||
\(885\) | −1054.39 | + | 784.422i | −1.19140 | + | 0.886353i | ||||
\(886\) | 531.854 | − | 921.197i | 0.600286 | − | 1.03973i | ||||
\(887\) | 4.69270 | + | 8.12799i | 0.00529053 | + | 0.00916347i | 0.868659 | − | 0.495411i | \(-0.164983\pi\) |
−0.863368 | + | 0.504575i | \(0.831649\pi\) | |||||||
\(888\) | −16.6574 | − | 26.5941i | −0.0187583 | − | 0.0299483i | ||||
\(889\) | 470.105 | + | 411.353i | 0.528801 | + | 0.462715i | ||||
\(890\) | 487.552 | + | 707.103i | 0.547812 | + | 0.794498i | ||||
\(891\) | 726.108 | + | 289.761i | 0.814936 | + | 0.325209i | ||||
\(892\) | 42.7696 | + | 24.6930i | 0.0479480 | + | 0.0276828i | ||||
\(893\) | 223.652 | − | 387.376i | 0.250450 | − | 0.433792i | ||||
\(894\) | 15.3623 | − | 28.9669i | 0.0171838 | − | 0.0324015i | ||||
\(895\) | 89.0013 | + | 129.080i | 0.0994427 | + | 0.144223i | ||||
\(896\) | 727.821 | + | 143.938i | 0.812300 | + | 0.160645i | ||||
\(897\) | 19.1455 | + | 30.5665i | 0.0213440 | + | 0.0340763i | ||||
\(898\) | 653.457 | − | 377.274i | 0.727681 | − | 0.420127i | ||||
\(899\) | 204.648 | + | 118.154i | 0.227640 | + | 0.131428i | ||||
\(900\) | −85.9993 | + | 20.3223i | −0.0955548 | + | 0.0225803i | ||||
\(901\) | 211.476 | + | 366.287i | 0.234712 | + | 0.406534i | ||||
\(902\) | 441.827 | 0.489831 | ||||||||
\(903\) | 763.567 | − | 938.716i | 0.845590 | − | 1.03955i | ||||
\(904\) | −830.993 | −0.919240 | ||||||||
\(905\) | −565.883 | − | 268.864i | −0.625285 | − | 0.297087i | ||||
\(906\) | −53.8754 | − | 1496.91i | −0.0594651 | − | 1.65222i | ||||
\(907\) | −7.09022 | − | 4.09354i | −0.00781722 | − | 0.00451327i | 0.496086 | − | 0.868273i | \(-0.334770\pi\) |
−0.503904 | + | 0.863760i | \(0.668103\pi\) | |||||||
\(908\) | 76.9028 | + | 133.200i | 0.0846947 | + | 0.146696i | ||||
\(909\) | 441.050 | + | 213.948i | 0.485203 | + | 0.235367i | ||||
\(910\) | −671.881 | + | 904.681i | −0.738331 | + | 0.994155i | ||||
\(911\) | − | 1803.12i | − | 1.97927i | −0.143590 | − | 0.989637i | \(-0.545865\pi\) | ||
0.143590 | − | 0.989637i | \(-0.454135\pi\) | |||||||
\(912\) | 526.078 | + | 278.999i | 0.576839 | + | 0.305920i | ||||
\(913\) | −582.081 | − | 336.064i | −0.637547 | − | 0.368088i | ||||
\(914\) | −1156.49 | − | 667.700i | −1.26531 | − | 0.730525i | ||||
\(915\) | −1556.64 | + | 181.424i | −1.70124 | + | 0.198278i | ||||
\(916\) | 49.7622 | 0.0543256 | ||||||||
\(917\) | −152.059 | + | 768.886i | −0.165822 | + | 0.838480i | ||||
\(918\) | −134.598 | − | 1242.28i | −0.146621 | − | 1.35324i | ||||
\(919\) | −384.205 | − | 665.463i | −0.418069 | − | 0.724116i | 0.577677 | − | 0.816266i | \(-0.303960\pi\) |
−0.995745 | + | 0.0921496i | \(0.970626\pi\) | |||||||
\(920\) | 2.36571 | + | 29.4898i | 0.00257142 | + | 0.0320542i | ||||
\(921\) | 563.104 | − | 20.2667i | 0.611405 | − | 0.0220051i | ||||
\(922\) | 1284.55 | − | 741.633i | 1.39322 | − | 0.804374i | ||||
\(923\) | −860.350 | −0.932124 | ||||||||
\(924\) | −78.5966 | − | 12.6250i | −0.0850613 | − | 0.0136634i | ||||
\(925\) | 29.2956 | + | 11.1441i | 0.0316709 | + | 0.0120477i | ||||
\(926\) | 1448.78 | − | 836.454i | 1.56456 | − | 0.903298i | ||||
\(927\) | 815.521 | − | 552.617i | 0.879743 | − | 0.596134i | ||||
\(928\) | 89.9304 | + | 51.9214i | 0.0969078 | + | 0.0559497i | ||||
\(929\) | −1287.60 | + | 743.395i | −1.38600 | + | 0.800209i | −0.992862 | − | 0.119269i | \(-0.961945\pi\) |
−0.393141 | + | 0.919478i | \(0.628612\pi\) | |||||||
\(930\) | −160.879 | + | 372.621i | −0.172988 | + | 0.400668i | ||||
\(931\) | 539.639 | − | 415.976i | 0.579634 | − | 0.446805i | ||||
\(932\) | 146.926 | 0.157646 | ||||||||
\(933\) | 379.523 | − | 715.623i | 0.406777 | − | 0.767013i | ||||
\(934\) | −48.0093 | + | 83.1546i | −0.0514018 | + | 0.0890306i | ||||
\(935\) | 1172.15 | − | 94.0311i | 1.25363 | − | 0.100568i | ||||
\(936\) | 91.5068 | + | 1269.60i | 0.0977637 | + | 1.35641i | ||||
\(937\) | 1493.69i | 1.59412i | 0.603901 | + | 0.797059i | \(0.293612\pi\) | ||||
−0.603901 | + | 0.797059i | \(0.706388\pi\) | |||||||
\(938\) | −995.525 | − | 871.110i | −1.06133 | − | 0.928688i | ||||
\(939\) | −101.657 | − | 162.298i | −0.108260 | − | 0.172841i | ||||
\(940\) | 57.0566 | + | 27.1089i | 0.0606986 | + | 0.0288393i | ||||
\(941\) | 1132.00 | + | 653.560i | 1.20298 | + | 0.694538i | 0.961216 | − | 0.275798i | \(-0.0889422\pi\) |
0.241759 | + | 0.970336i | \(0.422275\pi\) | |||||||
\(942\) | −891.589 | + | 32.0893i | −0.946485 | + | 0.0340651i | ||||
\(943\) | −14.8034 | + | 8.54673i | −0.0156982 | + | 0.00906335i | ||||
\(944\) | 1250.64i | 1.32483i | ||||||||
\(945\) | −466.539 | − | 821.807i | −0.493692 | − | 0.869637i | ||||
\(946\) | −1056.28 | −1.11657 | ||||||||
\(947\) | 493.680 | + | 855.078i | 0.521309 | + | 0.902934i | 0.999693 | + | 0.0247830i | \(0.00788949\pi\) |
−0.478384 | + | 0.878151i | \(0.658777\pi\) | |||||||
\(948\) | 0.314674 | + | 8.74311i | 0.000331935 | + | 0.00922269i | ||||
\(949\) | 797.703 | − | 1381.66i | 0.840572 | − | 1.45591i | ||||
\(950\) | −651.803 | + | 105.254i | −0.686109 | + | 0.110794i | ||||
\(951\) | 504.623 | − | 316.074i | 0.530624 | − | 0.332360i | ||||
\(952\) | 458.915 | + | 1347.03i | 0.482053 | + | 1.41495i | ||||
\(953\) | 141.999 | 0.149002 | 0.0745012 | − | 0.997221i | \(-0.476264\pi\) | ||||
0.0745012 | + | 0.997221i | \(0.476264\pi\) | |||||||
\(954\) | −295.935 | + | 21.3297i | −0.310204 | + | 0.0223582i | ||||
\(955\) | 241.970 | − | 19.4112i | 0.253372 | − | 0.0203258i | ||||
\(956\) | 27.9573 | + | 16.1411i | 0.0292440 | + | 0.0168840i | ||||
\(957\) | 424.306 | + | 225.026i | 0.443371 | + | 0.235137i | ||||
\(958\) | 1246.25i | 1.30088i | ||||||||
\(959\) | −199.853 | − | 586.618i | −0.208397 | − | 0.611698i | ||||
\(960\) | −410.193 | + | 950.072i | −0.427284 | + | 0.989658i | ||||
\(961\) | 379.020 | + | 656.482i | 0.394402 | + | 0.683124i | ||||
\(962\) | 20.1833 | − | 34.9584i | 0.0209805 | − | 0.0363393i | ||||
\(963\) | 401.892 | + | 593.090i | 0.417333 | + | 0.615877i | ||||
\(964\) | 40.9385 | + | 70.9075i | 0.0424673 | + | 0.0735555i | ||||
\(965\) | −48.9403 | − | 70.9787i | −0.0507153 | − | 0.0735531i | ||||
\(966\) | −26.4298 | + | 10.0791i | −0.0273601 | + | 0.0104338i | ||||
\(967\) | − | 1460.77i | − | 1.51062i | −0.655369 | − | 0.755309i | \(-0.727487\pi\) | ||
0.655369 | − | 0.755309i | \(-0.272513\pi\) | |||||||
\(968\) | −116.153 | − | 201.183i | −0.119993 | − | 0.207834i | ||||
\(969\) | 36.5606 | + | 1015.82i | 0.0377303 | + | 1.04832i | ||||
\(970\) | −856.213 | + | 68.6865i | −0.882694 | + | 0.0708108i | ||||
\(971\) | −199.574 | + | 115.224i | −0.205534 | + | 0.118665i | −0.599234 | − | 0.800574i | \(-0.704528\pi\) |
0.393700 | + | 0.919239i | \(0.371195\pi\) | |||||||
\(972\) | −89.8549 | − | 32.1617i | −0.0924433 | − | 0.0330881i | ||||
\(973\) | −27.0640 | + | 30.9294i | −0.0278150 | + | 0.0317876i | ||||
\(974\) | − | 1538.23i | − | 1.57929i | ||||||
\(975\) | −838.035 | − | 956.125i | −0.859523 | − | 0.980641i | ||||
\(976\) | −745.702 | + | 1291.59i | −0.764038 | + | 1.32335i | ||||
\(977\) | −592.145 | + | 1025.62i | −0.606085 | + | 1.04977i | 0.385795 | + | 0.922585i | \(0.373927\pi\) |
−0.991879 | + | 0.127185i | \(0.959406\pi\) | |||||||
\(978\) | 7.99695 | − | 15.0789i | 0.00817684 | − | 0.0154181i | ||||
\(979\) | −872.945 | −0.891670 | ||||||||
\(980\) | 64.6510 | + | 71.2676i | 0.0659704 | + | 0.0727220i | ||||
\(981\) | 556.091 | − | 1146.37i | 0.566861 | − | 1.16857i | ||||
\(982\) | −667.933 | + | 385.631i | −0.680176 | + | 0.392700i | ||||
\(983\) | 314.623 | − | 544.942i | 0.320064 | − | 0.554367i | −0.660437 | − | 0.750881i | \(-0.729629\pi\) |
0.980501 | + | 0.196515i | \(0.0629623\pi\) | |||||||
\(984\) | −602.871 | + | 21.6980i | −0.612673 | + | 0.0220508i | ||||
\(985\) | −1599.82 | − | 760.113i | −1.62419 | − | 0.771688i | ||||
\(986\) | − | 767.646i | − | 0.778545i | ||||||
\(987\) | −107.137 | + | 666.978i | −0.108548 | + | 0.675763i | ||||
\(988\) | − | 92.5791i | − | 0.0937036i | ||||||
\(989\) | 35.3904 | − | 20.4327i | 0.0357840 | − | 0.0206599i | ||||
\(990\) | −299.528 | + | 768.607i | −0.302553 | + | 0.776370i | ||||
\(991\) | −187.208 | + | 324.254i | −0.188908 | + | 0.327199i | −0.944887 | − | 0.327398i | \(-0.893828\pi\) |
0.755978 | + | 0.654597i | \(0.227162\pi\) | |||||||
\(992\) | −44.5943 | − | 77.2395i | −0.0449539 | − | 0.0778624i | ||||
\(993\) | 140.247 | − | 87.8446i | 0.141236 | − | 0.0884638i | ||||
\(994\) | 130.905 | − | 661.922i | 0.131695 | − | 0.665918i | ||||
\(995\) | −63.8349 | + | 44.0146i | −0.0641557 | + | 0.0442358i | ||||
\(996\) | 72.4873 | + | 38.4429i | 0.0727785 | + | 0.0385973i | ||||
\(997\) | 756.137 | + | 436.556i | 0.758412 | + | 0.437869i | 0.828725 | − | 0.559655i | \(-0.189067\pi\) |
−0.0703132 | + | 0.997525i | \(0.522400\pi\) | |||||||
\(998\) | −648.316 | + | 1122.92i | −0.649615 | + | 1.12517i | ||||
\(999\) | 19.9849 | + | 27.3222i | 0.0200049 | + | 0.0273495i |
(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 | 105.3.o.b.74.15 | yes | 40 | |
3.2 | odd | 2 | inner | 105.3.o.b.74.5 | yes | 40 | |
5.4 | even | 2 | inner | 105.3.o.b.74.6 | yes | 40 | |
7.2 | even | 3 | inner | 105.3.o.b.44.16 | yes | 40 | |
15.14 | odd | 2 | inner | 105.3.o.b.74.16 | yes | 40 | |
21.2 | odd | 6 | inner | 105.3.o.b.44.6 | yes | 40 | |
35.9 | even | 6 | inner | 105.3.o.b.44.5 | ✓ | 40 | |
105.44 | odd | 6 | inner | 105.3.o.b.44.15 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.o.b.44.5 | ✓ | 40 | 35.9 | even | 6 | inner | |
105.3.o.b.44.6 | yes | 40 | 21.2 | odd | 6 | inner | |
105.3.o.b.44.15 | yes | 40 | 105.44 | odd | 6 | inner | |
105.3.o.b.44.16 | yes | 40 | 7.2 | even | 3 | inner | |
105.3.o.b.74.5 | yes | 40 | 3.2 | odd | 2 | inner | |
105.3.o.b.74.6 | yes | 40 | 5.4 | even | 2 | inner | |
105.3.o.b.74.15 | yes | 40 | 1.1 | even | 1 | trivial | |
105.3.o.b.74.16 | yes | 40 | 15.14 | odd | 2 | inner |