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 | 44.6 | ||
Character | \(\chi\) | \(=\) | 105.44 |
Dual form | 105.3.o.b.74.6 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 | \(-0.990820\pi\) |
0.524765 | + | 0.851247i | \(0.324153\pi\) | |||||||
\(3\) | 0.107903 | − | 2.99806i | 0.0359678 | − | 0.999353i | ||||
\(4\) | 0.196373 | + | 0.340128i | 0.0490932 | + | 0.0850320i | ||||
\(5\) | −0.399822 | − | 4.98399i | −0.0799644 | − | 0.996798i | ||||
\(6\) | 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 | ||||
\(10\) | 8.57746 | + | 4.07535i | 0.857746 | + | 0.407535i | ||||
\(11\) | 8.35863 | − | 4.82586i | 0.759876 | − | 0.438714i | −0.0693754 | − | 0.997591i | \(-0.522101\pi\) |
0.829251 | + | 0.558876i | \(0.188767\pi\) | |||||||
\(12\) | 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 | ||||
\(15\) | −14.9854 | + | 0.660900i | −0.999029 | + | 0.0440600i | ||||
\(16\) | 7.13738 | − | 12.3623i | 0.446086 | − | 0.772644i | ||||
\(17\) | 12.1835 | + | 21.1024i | 0.716674 | + | 1.24131i | 0.962311 | + | 0.271953i | \(0.0876696\pi\) |
−0.245637 | + | 0.969362i | \(0.578997\pi\) | |||||||
\(18\) | 9.58884 | − | 14.1507i | 0.532713 | − | 0.786149i | ||||
\(19\) | 6.95261 | − | 12.0423i | 0.365927 | − | 0.633804i | −0.622997 | − | 0.782224i | \(-0.714085\pi\) |
0.988924 | + | 0.148420i | \(0.0474187\pi\) | |||||||
\(20\) | 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 | \(-0.828426\pi\) |
0.873631 | + | 0.486589i | \(0.161759\pi\) | |||||||
\(24\) | −0.900243 | + | 25.0129i | −0.0375101 | + | 1.04221i | ||||
\(25\) | −24.6803 | + | 3.98542i | −0.987211 | + | 0.159417i | ||||
\(26\) | 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 | \(-0.907679\pi\) | ||
0.958234 | − | 0.285986i | \(-0.0923209\pi\) | |||||||
\(30\) | 13.1437 | − | 25.2760i | 0.438123 | − | 0.842533i | ||||
\(31\) | 7.12320 | + | 12.3377i | 0.229781 | + | 0.397992i | 0.957743 | − | 0.287625i | \(-0.0928658\pi\) |
−0.727962 | + | 0.685617i | \(0.759532\pi\) | |||||||
\(32\) | −3.13021 | − | 5.42169i | −0.0978192 | − | 0.169428i | ||||
\(33\) | −13.5663 | − | 25.5804i | −0.411100 | − | 0.775164i | ||||
\(34\) | −46.2795 | −1.36116 | ||||||||
\(35\) | −24.4125 | + | 25.0805i | −0.697500 | + | 0.716585i | ||||
\(36\) | −1.54272 | − | 3.18028i | −0.0428533 | − | 0.0883412i | ||||
\(37\) | −1.08578 | − | 0.626873i | −0.0293453 | − | 0.0169425i | 0.485256 | − | 0.874372i | \(-0.338727\pi\) |
−0.514601 | + | 0.857430i | \(0.672060\pi\) | |||||||
\(38\) | 13.2049 | + | 22.8716i | 0.347498 | + | 0.601885i | ||||
\(39\) | −50.8234 | − | 1.82919i | −1.30316 | − | 0.0469023i | ||||
\(40\) | 3.33573 | + | 41.5816i | 0.0833933 | + | 1.03954i | ||||
\(41\) | 24.1024i | 0.587862i | 0.955827 | + | 0.293931i | \(0.0949637\pi\) | ||||
−0.955827 | + | 0.293931i | \(0.905036\pi\) | |||||||
\(42\) | −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 | ||||
\(45\) | 0.364437 | + | 44.9985i | 0.00809860 | + | 0.999967i | ||||
\(46\) | 0.673487 | + | 1.16651i | 0.0146410 | + | 0.0253590i | ||||
\(47\) | 16.0840 | − | 27.8583i | 0.342213 | − | 0.592730i | −0.642630 | − | 0.766176i | \(-0.722157\pi\) |
0.984843 | + | 0.173446i | \(0.0554903\pi\) | |||||||
\(48\) | −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 | \(-0.219026\pi\) |
−0.936211 | + | 0.351438i | \(0.885693\pi\) | |||||||
\(54\) | −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 | 0.308060 | − | 0.951367i | \(-0.400320\pi\) |
0.977938 | + | 0.208896i | \(0.0669870\pi\) | |||||||
\(60\) | −3.16752 | − | 4.96718i | −0.0527921 | − | 0.0827863i | ||||
\(61\) | 52.2391 | − | 90.4808i | 0.856379 | − | 1.48329i | −0.0189801 | − | 0.999820i | \(-0.506042\pi\) |
0.875359 | − | 0.483473i | \(-0.160625\pi\) | |||||||
\(62\) | −27.0578 | −0.436417 | ||||||||
\(63\) | 37.9707 | + | 50.2715i | 0.602710 | + | 0.797960i | ||||
\(64\) | 68.9894 | 1.07796 | ||||||||
\(65\) | −84.4891 | + | 6.77782i | −1.29983 | + | 0.104274i | ||||
\(66\) | 54.9583 | + | 1.97801i | 0.832701 | + | 0.0299698i | ||||
\(67\) | 86.1690 | − | 49.7497i | 1.28610 | − | 0.742533i | 0.308147 | − | 0.951339i | \(-0.400291\pi\) |
0.977957 | + | 0.208806i | \(0.0669577\pi\) | |||||||
\(68\) | −4.78500 | + | 8.28786i | −0.0703676 | + | 0.121880i | ||||
\(69\) | −1.80311 | − | 1.12939i | −0.0261320 | − | 0.0163680i | ||||
\(70\) | −18.0699 | − | 63.9716i | −0.258141 | − | 0.913880i | ||||
\(71\) | 50.7518i | 0.714814i | 0.933949 | + | 0.357407i | \(0.116339\pi\) | ||||
−0.933949 | + | 0.357407i | \(0.883661\pi\) | |||||||
\(72\) | 74.8931 | + | 5.39796i | 1.04018 | + | 0.0749717i | ||||
\(73\) | −81.5039 | + | 47.0563i | −1.11649 | + | 0.644607i | −0.940503 | − | 0.339786i | \(-0.889645\pi\) |
−0.175988 | + | 0.984392i | \(0.556312\pi\) | |||||||
\(74\) | 2.06219 | − | 1.19061i | 0.0278674 | − | 0.0160893i | ||||
\(75\) | 9.28542 | + | 74.4230i | 0.123806 | + | 0.992306i | ||||
\(76\) | 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 | −0.888566 | − | 0.458748i | \(-0.848298\pi\) |
0.841571 | + | 0.540147i | \(0.181631\pi\) | |||||||
\(80\) | −64.4673 | − | 30.6299i | −0.805841 | − | 0.382874i | ||||
\(81\) | 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 | \(-0.362203\pi\) | ||||
0.419508 | + | 0.907752i | \(0.362203\pi\) | |||||||
\(84\) | −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 | −0.00939614 | − | 0.999956i | \(-0.502991\pi\) |
−0.870685 | + | 0.491841i | \(0.836324\pi\) | |||||||
\(90\) | −74.3607 | − | 42.1329i | −0.826230 | − | 0.468143i | ||||
\(91\) | −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 | ||||
\(95\) | −62.7984 | − | 29.8370i | −0.661036 | − | 0.314073i | ||||
\(96\) | −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 | ||||
\(100\) | −6.20209 | − | 7.61183i | −0.0620209 | − | 0.0761183i | ||||
\(101\) | −47.1698 | + | 27.2335i | −0.467028 | + | 0.269638i | −0.714995 | − | 0.699130i | \(-0.753571\pi\) |
0.247967 | + | 0.968768i | \(0.420238\pi\) | |||||||
\(102\) | −4.99372 | + | 138.749i | −0.0489580 | + | 1.36028i | ||||
\(103\) | 94.7932 | + | 54.7289i | 0.920322 | + | 0.531348i | 0.883738 | − | 0.467982i | \(-0.155019\pi\) |
0.0365842 | + | 0.999331i | \(0.488352\pi\) | |||||||
\(104\) | 141.432i | 1.35992i | ||||||||
\(105\) | 72.5586 | + | 75.8963i | 0.691034 | + | 0.722822i | ||||
\(106\) | 32.9670 | 0.311009 | ||||||||
\(107\) | 39.8017 | − | 68.9385i | 0.371978 | − | 0.644285i | −0.617892 | − | 0.786263i | \(-0.712013\pi\) |
0.989870 | + | 0.141978i | \(0.0453462\pi\) | |||||||
\(108\) | −9.70114 | + | 4.28200i | −0.0898254 | + | 0.0396482i | ||||
\(109\) | −70.7849 | − | 122.603i | −0.649402 | − | 1.12480i | −0.983266 | − | 0.182176i | \(-0.941686\pi\) |
0.333864 | − | 0.942621i | \(-0.391648\pi\) | |||||||
\(110\) | 91.3629 | − | 7.32925i | 0.830572 | − | 0.0666295i | ||||
\(111\) | −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 | \(-0.354723\pi\) | ||||
0.440722 | + | 0.897644i | \(0.354723\pi\) | |||||||
\(114\) | 69.9953 | − | 37.1213i | 0.613994 | − | 0.325625i | ||||
\(115\) | −3.20288 | − | 1.52176i | −0.0278512 | − | 0.0132327i | ||||
\(116\) | 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 | ||||
\(120\) | 125.024 | − | 5.51392i | 1.04187 | − | 0.0459493i | ||||
\(121\) | −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 | ||||
\(130\) | 69.0858 | − | 145.406i | 0.531429 | − | 1.11851i | ||||
\(131\) | −96.9674 | − | 55.9841i | −0.740209 | − | 0.427360i | 0.0819364 | − | 0.996638i | \(-0.473890\pi\) |
−0.822145 | + | 0.569278i | \(0.807223\pi\) | |||||||
\(132\) | 6.03656 | − | 9.63757i | 0.0457315 | − | 0.0730119i | ||||
\(133\) | −95.4872 | + | 18.8840i | −0.717949 | + | 0.141985i | ||||
\(134\) | 188.977i | 1.41028i | ||||||||
\(135\) | 134.948 | + | 3.76289i | 0.999611 | + | 0.0278733i | ||||
\(136\) | −101.647 | − | 176.058i | −0.747405 | − | 1.29454i | ||||
\(137\) | −44.2662 | − | 76.6714i | −0.323111 | − | 0.559645i | 0.658017 | − | 0.753003i | \(-0.271395\pi\) |
−0.981128 | + | 0.193358i | \(0.938062\pi\) | |||||||
\(138\) | 3.56995 | − | 1.89328i | 0.0258692 | − | 0.0137194i | ||||
\(139\) | −5.87121 | −0.0422389 | −0.0211195 | − | 0.999777i | \(-0.506723\pi\) | ||||
−0.0211195 | + | 0.999777i | \(0.506723\pi\) | |||||||
\(140\) | −13.3245 | − | 3.37824i | −0.0951752 | − | 0.0241303i | ||||
\(141\) | −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 | ||||
\(145\) | −82.6702 | + | 6.63191i | −0.570139 | + | 0.0457373i | ||||
\(146\) | − | 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 | 0.516630 | − | 0.856209i | \(-0.327186\pi\) |
−0.483183 | + | 0.875519i | \(0.660520\pi\) | |||||||
\(150\) | −131.230 | − | 55.4021i | −0.874869 | − | 0.369347i | ||||
\(151\) | 131.443 | + | 227.666i | 0.870482 | + | 1.50772i | 0.861498 | + | 0.507760i | \(0.169526\pi\) |
0.00898406 | + | 0.999960i | \(0.497140\pi\) | |||||||
\(152\) | −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 | \(-0.500491\pi\) |
0.865252 | + | 0.501336i | \(0.167158\pi\) | |||||||
\(158\) | −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 | \(-0.336258\pi\) |
−0.507937 | + | 0.861394i | \(0.669592\pi\) | |||||||
\(164\) | −8.19788 | + | 4.73305i | −0.0499871 | + | 0.0288601i | ||||
\(165\) | −122.068 | + | 77.8418i | −0.739808 | + | 0.471769i | ||||
\(166\) | −66.1312 | + | 114.543i | −0.398381 | + | 0.690015i | ||||
\(167\) | 201.798 | 1.20837 | 0.604186 | − | 0.796844i | \(-0.293499\pi\) | ||||
0.604186 | + | 0.796844i | \(0.293499\pi\) | |||||||
\(168\) | 135.917 | − | 110.557i | 0.809031 | − | 0.658080i | ||||
\(169\) | −118.374 | −0.700436 | ||||||||
\(170\) | 18.5036 | + | 230.656i | 0.108844 | + | 1.35680i | ||||
\(171\) | −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 | \(-0.847656\pi\) |
0.842658 | + | 0.538449i | \(0.180990\pi\) | |||||||
\(174\) | 50.1688 | − | 80.0962i | 0.288326 | − | 0.460323i | ||||
\(175\) | 134.761 | + | 111.644i | 0.770066 | + | 0.637965i | ||||
\(176\) | − | 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 | −0.573935 | − | 0.818901i | \(-0.694584\pi\) |
0.422222 | + | 0.906493i | \(0.361250\pi\) | |||||||
\(180\) | −15.2337 | + | 8.96045i | −0.0846316 | + | 0.0497803i | ||||
\(181\) | 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 | ||||
\(185\) | −2.69021 | + | 5.66213i | −0.0145417 | + | 0.0306061i | ||||
\(186\) | −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 | 0.385880 | − | 0.922549i | \(-0.373898\pi\) |
−0.606011 | + | 0.795456i | \(0.707231\pi\) | |||||||
\(192\) | 7.44419 | − | 206.834i | 0.0387718 | − | 1.07726i | ||||
\(193\) | −14.9330 | + | 8.62156i | −0.0773730 | + | 0.0446713i | −0.538187 | − | 0.842825i | \(-0.680891\pi\) |
0.460814 | + | 0.887497i | \(0.347557\pi\) | |||||||
\(194\) | 148.777 | + | 85.8964i | 0.766891 | + | 0.442765i | ||||
\(195\) | 11.2036 | + | 254.035i | 0.0574546 | + | 1.30274i | ||||
\(196\) | −17.7959 | + | 7.32530i | −0.0907952 | + | 0.0373740i | ||||
\(197\) | −354.243 | −1.79819 | −0.899094 | − | 0.437755i | \(-0.855774\pi\) | ||||
−0.899094 | + | 0.437755i | \(0.855774\pi\) | |||||||
\(198\) | 11.8604 | − | 164.555i | 0.0599009 | − | 0.831085i | ||||
\(199\) | 7.75382 | + | 13.4300i | 0.0389639 | + | 0.0674875i | 0.884850 | − | 0.465877i | \(-0.154261\pi\) |
−0.845886 | + | 0.533364i | \(0.820928\pi\) | |||||||
\(200\) | 205.909 | − | 33.2505i | 1.02954 | − | 0.166252i | ||||
\(201\) | −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 | ||||
\(205\) | 120.126 | − | 9.63665i | 0.585980 | − | 0.0470080i | ||||
\(206\) | −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 | ||||||
\(210\) | −193.740 | + | 47.2719i | −0.922573 | + | 0.225104i | ||||
\(211\) | −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 | ||||
\(215\) | 287.185 | − | 23.0383i | 1.33574 | − | 0.107155i | ||||
\(216\) | 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 | ||||
\(220\) | 8.13379 | − | 17.1193i | 0.0369718 | − | 0.0778151i | ||||
\(221\) | 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 | ||||
\(225\) | 224.126 | − | 19.8077i | 0.996117 | − | 0.0880344i | ||||
\(226\) | −94.5869 | + | 163.829i | −0.418526 | + | 0.724909i | ||||
\(227\) | 195.808 | + | 339.150i | 0.862591 | + | 1.49405i | 0.869420 | + | 0.494074i | \(0.164493\pi\) |
−0.00682884 | + | 0.999977i | \(0.502174\pi\) | |||||||
\(228\) | 0.589284 | − | 16.3731i | 0.00258458 | − | 0.0718117i | ||||
\(229\) | 63.3517 | − | 109.728i | 0.276645 | − | 0.479163i | −0.693904 | − | 0.720068i | \(-0.744111\pi\) |
0.970549 | + | 0.240904i | \(0.0774441\pi\) | |||||||
\(230\) | 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 | 0.114986 | + | 0.993367i | \(0.463318\pi\) |
−0.917774 | + | 0.397103i | \(0.870016\pi\) | |||||||
\(234\) | −239.884 | − | 162.551i | −1.02514 | − | 0.694662i | ||||
\(235\) | −145.276 | − | 69.0241i | −0.618197 | − | 0.293720i | ||||
\(236\) | 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 | \(-0.944990\pi\) | ||
0.985104 | − | 0.171959i | \(-0.0550097\pi\) | |||||||
\(240\) | −98.7865 | + | 189.972i | −0.411611 | + | 0.791549i | ||||
\(241\) | −104.237 | − | 180.543i | −0.432517 | − | 0.749141i | 0.564572 | − | 0.825384i | \(-0.309041\pi\) |
−0.997089 | + | 0.0762423i | \(0.975708\pi\) | |||||||
\(242\) | −26.4421 | − | 45.7990i | −0.109265 | − | 0.189252i | ||||
\(243\) | 43.4750 | − | 239.079i | 0.178909 | − | 0.983866i | ||||
\(244\) | 41.0334 | 0.168170 | ||||||||
\(245\) | 244.655 | + | 12.9930i | 0.998593 | + | 0.0530328i | ||||
\(246\) | −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 | ||||
\(250\) | −227.936 | − | 66.3961i | −0.911745 | − | 0.265584i | ||||
\(251\) | 279.326i | 1.11285i | 0.830897 | + | 0.556427i | \(0.187828\pi\) | ||||
−0.830897 | + | 0.556427i | \(0.812172\pi\) | |||||||
\(252\) | −9.64231 | + | 22.7869i | −0.0382631 | + | 0.0904241i | ||||
\(253\) | − | 6.84503i | − | 0.0270555i | ||||||
\(254\) | −146.781 | − | 84.7441i | −0.577878 | − | 0.333638i | ||||
\(255\) | −196.521 | − | 308.176i | −0.770670 | − | 1.20853i | ||||
\(256\) | 37.3282 | + | 64.6544i | 0.145813 | + | 0.252556i | ||||
\(257\) | 80.6774 | − | 139.737i | 0.313920 | − | 0.543725i | −0.665288 | − | 0.746587i | \(-0.731691\pi\) |
0.979207 | + | 0.202862i | \(0.0650244\pi\) | |||||||
\(258\) | −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 | \(-0.185448\pi\) |
−0.894002 | + | 0.448062i | \(0.852114\pi\) | |||||||
\(264\) | 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 | −0.911425 | − | 0.411467i | \(-0.865017\pi\) |
−0.0993714 | + | 0.995050i | \(0.531683\pi\) | |||||||
\(270\) | −134.341 | + | 218.391i | −0.497558 | + | 0.808857i | ||||
\(271\) | 128.076 | − | 221.834i | 0.472604 | − | 0.818574i | −0.526905 | − | 0.849924i | \(-0.676648\pi\) |
0.999508 | + | 0.0313506i | \(0.00998084\pi\) | |||||||
\(272\) | 347.832 | 1.27879 | ||||||||
\(273\) | 224.640 | + | 276.168i | 0.822856 | + | 1.01160i | ||||
\(274\) | 168.148 | 0.613678 | ||||||||
\(275\) | −187.060 | + | 152.416i | −0.680220 | + | 0.554241i | ||||
\(276\) | 0.0300551 | − | 0.835069i | 0.000108895 | − | 0.00302561i | ||||
\(277\) | −283.178 | + | 163.493i | −1.02230 | + | 0.590226i | −0.914770 | − | 0.403975i | \(-0.867628\pi\) |
−0.107532 | + | 0.994202i | \(0.534295\pi\) | |||||||
\(278\) | 5.57553 | − | 9.65710i | 0.0200559 | − | 0.0347378i | ||||
\(279\) | −55.9604 | − | 115.361i | −0.200575 | − | 0.413481i | ||||
\(280\) | 203.674 | − | 209.248i | 0.727409 | − | 0.747313i | ||||
\(281\) | 405.760i | 1.44399i | 0.691900 | + | 0.721993i | \(0.256774\pi\) | ||||
−0.691900 | + | 0.721993i | \(0.743226\pi\) | |||||||
\(282\) | 161.926 | − | 85.8754i | 0.574204 | − | 0.304523i | ||||
\(283\) | −393.833 | + | 227.380i | −1.39164 | + | 0.803462i | −0.993496 | − | 0.113863i | \(-0.963678\pi\) |
−0.398140 | + | 0.917325i | \(0.630344\pi\) | |||||||
\(284\) | −17.2621 | + | 9.96628i | −0.0607821 | + | 0.0350926i | ||||
\(285\) | −96.2292 | + | 185.054i | −0.337646 | + | 0.649311i | ||||
\(286\) | 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 | ||||
\(290\) | 67.5985 | − | 142.276i | 0.233098 | − | 0.490606i | ||||
\(291\) | −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 | \(-0.422142\pi\) | ||||
0.242166 | + | 0.970235i | \(0.422142\pi\) | |||||||
\(294\) | −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 | ||||
\(300\) | −23.4899 | + | 17.7729i | −0.0782998 | + | 0.0592430i | ||||
\(301\) | 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 | ||||
\(305\) | −471.842 | − | 224.183i | −1.54702 | − | 0.735026i | ||||
\(306\) | 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 | ||||
\(310\) | 10.8183 | + | 134.856i | 0.0348978 | + | 0.435019i | ||||
\(311\) | 233.836 | − | 135.005i | 0.751885 | − | 0.434101i | −0.0744894 | − | 0.997222i | \(-0.523733\pi\) |
0.826375 | + | 0.563121i | \(0.190399\pi\) | |||||||
\(312\) | 424.022 | + | 15.2610i | 1.35904 | + | 0.0489135i | ||||
\(313\) | −55.2832 | − | 31.9177i | −0.176623 | − | 0.101974i | 0.409082 | − | 0.912498i | \(-0.365849\pi\) |
−0.585705 | + | 0.810524i | \(0.699182\pi\) | |||||||
\(314\) | 297.389i | 0.947098i | ||||||||
\(315\) | 235.371 | − | 209.345i | 0.747209 | − | 0.664589i | ||||
\(316\) | −2.91626 | −0.00922866 | ||||||||
\(317\) | −99.2398 | + | 171.888i | −0.313059 | + | 0.542235i | −0.979023 | − | 0.203749i | \(-0.934687\pi\) |
0.665964 | + | 0.745984i | \(0.268021\pi\) | |||||||
\(318\) | 3.55725 | − | 98.8369i | 0.0111863 | − | 0.310808i | ||||
\(319\) | −80.0473 | − | 138.646i | −0.250932 | − | 0.434627i | ||||
\(320\) | −27.5835 | − | 343.842i | −0.0861983 | − | 1.07451i | ||||
\(321\) | −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 | ||||
\(325\) | 67.5612 | + | 418.383i | 0.207880 | + | 1.28733i | ||||
\(326\) | 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 | ||||
\(330\) | −12.1151 | − | 274.702i | −0.0367126 | − | 0.832431i | ||||
\(331\) | 27.5811 | − | 47.7719i | 0.0833266 | − | 0.144326i | −0.821350 | − | 0.570424i | \(-0.806779\pi\) |
0.904677 | + | 0.426098i | \(0.140112\pi\) | |||||||
\(332\) | 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 | ||||
\(340\) | 43.2198 | + | 20.5347i | 0.127117 | + | 0.0603962i | ||||
\(341\) | 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 | ||||||
\(345\) | −4.90794 | + | 9.43823i | −0.0142259 | + | 0.0273572i | ||||
\(346\) | −14.7798 | − | 25.5993i | −0.0427161 | − | 0.0739865i | ||||
\(347\) | 71.3734 | + | 123.622i | 0.205687 | + | 0.356260i | 0.950351 | − | 0.311179i | \(-0.100724\pi\) |
−0.744664 | + | 0.667439i | \(0.767390\pi\) | |||||||
\(348\) | −9.15672 | − | 17.2658i | −0.0263124 | − | 0.0496143i | ||||
\(349\) | 46.0748 | 0.132020 | 0.0660098 | − | 0.997819i | \(-0.478973\pi\) | ||||
0.0660098 | + | 0.997819i | \(0.478973\pi\) | |||||||
\(350\) | −311.609 | + | 115.637i | −0.890311 | + | 0.330393i | ||||
\(351\) | 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 | \(-0.319590\pi\) |
−0.999068 | + | 0.0431618i | \(0.986257\pi\) | |||||||
\(354\) | 498.873 | + | 17.9550i | 1.40925 | + | 0.0507203i | ||||
\(355\) | 252.947 | − | 20.2917i | 0.712525 | − | 0.0571597i | ||||
\(356\) | − | 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 | 0.386637 | − | 0.922232i | \(-0.373637\pi\) |
−0.605358 | + | 0.795954i | \(0.706970\pi\) | |||||||
\(360\) | −3.04051 | − | 375.425i | −0.00844587 | − | 1.04285i | ||||
\(361\) | 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 | \(-0.535145\pi\) |
0.805658 | + | 0.592380i | \(0.201812\pi\) | |||||||
\(368\) | −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 | \(-0.315986\pi\) |
−0.452085 | + | 0.891975i | \(0.649320\pi\) | |||||||
\(374\) | −386.833 | + | 223.338i | −1.03431 | + | 0.597161i | ||||
\(375\) | 367.211 | − | 76.0344i | 0.979229 | − | 0.202758i | ||||
\(376\) | −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 | \(0.513524\pi\) | |||||||
\(380\) | −2.18351 | − | 27.2187i | −0.00574609 | − | 0.0716280i | ||||
\(381\) | 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 | \(-0.939654\pi\) |
0.654242 | + | 0.756285i | \(0.272988\pi\) | |||||||
\(384\) | 269.469 | + | 168.784i | 0.701742 | + | 0.439541i | ||||
\(385\) | −83.0201 | + | 327.450i | −0.215637 | + | 0.850519i | ||||
\(386\) | − | 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 | −0.468623 | − | 0.883398i | \(-0.655250\pi\) |
0.530734 | + | 0.847539i | \(0.321916\pi\) | |||||||
\(390\) | −428.481 | − | 222.813i | −1.09867 | − | 0.571316i | ||||
\(391\) | 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 | ||||
\(395\) | 33.5339 | + | 15.9328i | 0.0848961 | + | 0.0403361i | ||||
\(396\) | −28.2426 | − | 19.1379i | −0.0713198 | − | 0.0483280i | ||||
\(397\) | 281.690 | + | 162.634i | 0.709546 | + | 0.409657i | 0.810893 | − | 0.585195i | \(-0.198982\pi\) |
−0.101347 | + | 0.994851i | \(0.532315\pi\) | |||||||
\(398\) | −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 | 0.846638 | − | 0.532170i | \(-0.178623\pi\) |
−0.0375536 | + | 0.999295i | \(0.511956\pi\) | |||||||
\(402\) | 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 | ||||
\(405\) | 25.8427 | − | 404.175i | 0.0638091 | − | 0.997962i | ||||
\(406\) | −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 | 0.999858 | + | 0.0168731i | \(0.00537114\pi\) |
−0.485316 | + | 0.874339i | \(0.661296\pi\) | |||||||
\(410\) | −98.2256 | + | 206.737i | −0.239575 | + | 0.504237i | ||||
\(411\) | −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 | ||||
\(415\) | −27.8429 | − | 347.076i | −0.0670913 | − | 0.836328i | ||||
\(416\) | −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 | \(-0.805208\pi\) | ||
0.818524 | − | 0.574472i | \(-0.194792\pi\) | |||||||
\(420\) | −11.5659 | + | 39.5832i | −0.0275379 | + | 0.0942457i | ||||
\(421\) | −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 | ||||
\(425\) | −384.793 | − | 472.256i | −0.905395 | − | 1.11119i | ||||
\(426\) | −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 | ||||
\(430\) | −234.828 | + | 494.246i | −0.546111 | + | 1.14941i | ||||
\(431\) | −294.379 | + | 169.960i | −0.683013 | + | 0.394338i | −0.800989 | − | 0.598678i | \(-0.795693\pi\) |
0.117976 | + | 0.993016i | \(0.462359\pi\) | |||||||
\(432\) | 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 | ||||
\(435\) | 10.9625 | + | 248.566i | 0.0252010 | + | 0.571416i | ||||
\(436\) | 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 | −0.927995 | − | 0.372593i | \(-0.878469\pi\) |
0.786673 | + | 0.617371i | \(0.211802\pi\) | |||||||
\(440\) | 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 | −0.354997 | − | 0.934868i | \(-0.615518\pi\) |
0.987117 | − | 0.159998i | \(-0.0511486\pi\) | |||||||
\(444\) | −1.47625 | − | 0.0531320i | −0.00332490 | − | 0.000119667i | ||||
\(445\) | −194.070 | + | 408.463i | −0.436113 | + | 0.917894i | ||||
\(446\) | −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 | \(0.145875\pi\) | ||||
−0.896814 | + | 0.442407i | \(0.854125\pi\) | |||||||
\(450\) | −180.259 | + | 387.458i | −0.400575 | + | 0.861019i | ||||
\(451\) | 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 | ||||||||
\(455\) | 425.167 | + | 413.843i | 0.934433 | + | 0.909545i | ||||
\(456\) | 294.954 | + | 184.746i | 0.646828 | + | 0.405145i | ||||
\(457\) | 608.910 | + | 351.555i | 1.33241 | + | 0.769266i | 0.985668 | − | 0.168695i | \(-0.0539554\pi\) |
0.346740 | + | 0.937961i | \(0.387289\pi\) | |||||||
\(458\) | 120.322 | + | 208.405i | 0.262713 | + | 0.455032i | ||||
\(459\) | −601.882 | + | 265.666i | −1.31129 | + | 0.578792i | ||||
\(460\) | −0.111365 | − | 1.38822i | −0.000242098 | − | 0.00301788i | ||||
\(461\) | 780.964i | 1.69406i | 0.531542 | + | 0.847032i | \(0.321613\pi\) | ||||
−0.531542 | + | 0.847032i | \(0.678387\pi\) | |||||||
\(462\) | −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 | ||||
\(465\) | −114.898 | − | 180.179i | −0.247093 | − | 0.387481i | ||||
\(466\) | −355.259 | − | 615.327i | −0.762359 | − | 1.32044i | ||||
\(467\) | −25.2777 | + | 43.7822i | −0.0541278 | + | 0.0937521i | −0.891820 | − | 0.452391i | \(-0.850571\pi\) |
0.837692 | + | 0.546143i | \(0.183905\pi\) | |||||||
\(468\) | −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 | 0.228870 | − | 0.973457i | \(-0.426497\pi\) |
0.957474 | + | 0.288521i | \(0.0931636\pi\) | |||||||
\(480\) | 50.4908 | + | 79.1776i | 0.105189 | + | 0.164953i | ||||
\(481\) | −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 | ||||||||
\(485\) | −450.810 | + | 36.1646i | −0.929505 | + | 0.0745661i | ||||
\(486\) | 351.957 | + | 298.548i | 0.724192 | + | 0.614295i | ||||
\(487\) | 701.394 | − | 404.950i | 1.44023 | − | 0.831520i | 0.442370 | − | 0.896833i | \(-0.354138\pi\) |
0.997865 | + | 0.0653129i | \(0.0208045\pi\) | |||||||
\(488\) | −435.833 | + | 754.886i | −0.893101 | + | 1.54690i | ||||
\(489\) | −4.77038 | + | 7.61607i | −0.00975537 | + | 0.0155748i | ||||
\(490\) | −253.705 | + | 390.076i | −0.517766 | + | 0.796073i | ||||
\(491\) | − | 406.082i | − | 0.827051i | −0.910492 | − | 0.413526i | \(-0.864297\pi\) | ||
0.910492 | − | 0.413526i | \(-0.135703\pi\) | |||||||
\(492\) | 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 | ||||
\(495\) | 220.203 | + | 374.367i | 0.444854 | + | 0.756298i | ||||
\(496\) | 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 | −0.289664 | − | 0.957128i | \(-0.593544\pi\) |
0.973730 | − | 0.227708i | \(-0.0731230\pi\) | |||||||
\(500\) | −35.4575 | + | 33.9545i | −0.0709150 | + | 0.0679090i | ||||
\(501\) | 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 | \(-0.595100\pi\) | ||||
−0.294341 | + | 0.955701i | \(0.595100\pi\) | |||||||
\(504\) | −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 | 0.996301 | − | 0.0859284i | \(-0.0273856\pi\) |
0.423735 | + | 0.905786i | \(0.360719\pi\) | |||||||
\(510\) | 693.518 | − | 30.5861i | 1.35984 | − | 0.0599728i | ||||
\(511\) | 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 | ||||
\(515\) | 234.868 | − | 494.330i | 0.456054 | − | 0.959864i | ||||
\(516\) | 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 | ||||
\(520\) | 704.896 | − | 56.5476i | 1.35557 | − | 0.108745i | ||||
\(521\) | 619.025 | − | 357.394i | 1.18815 | − | 0.685977i | 0.230262 | − | 0.973129i | \(-0.426042\pi\) |
0.957885 | + | 0.287152i | \(0.0927083\pi\) | |||||||
\(522\) | −234.720 | − | 159.052i | −0.449654 | − | 0.304697i | ||||
\(523\) | −195.670 | − | 112.970i | −0.374130 | − | 0.216004i | 0.301131 | − | 0.953583i | \(-0.402636\pi\) |
−0.675261 | + | 0.737579i | \(0.735969\pi\) | |||||||
\(524\) | − | 43.9751i | − | 0.0839219i | ||||||
\(525\) | 349.256 | − | 391.976i | 0.665249 | − | 0.746621i | ||||
\(526\) | 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 | ||||
\(530\) | −13.1809 | − | 164.307i | −0.0248696 | − | 0.310013i | ||||
\(531\) | −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 | ||||
\(535\) | −359.502 | − | 170.808i | −0.671967 | − | 0.319267i | ||||
\(536\) | −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 | ||||
\(540\) | 25.2202 | + | 46.6384i | 0.0467040 | + | 0.0863673i | ||||
\(541\) | −315.187 | + | 545.919i | −0.582600 | + | 1.00909i | 0.412570 | + | 0.910926i | \(0.364631\pi\) |
−0.995170 | + | 0.0981672i | \(0.968702\pi\) | |||||||
\(542\) | 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 | ||||
\(550\) | −73.0578 | − | 452.421i | −0.132832 | − | 0.822584i | ||||
\(551\) | −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 | ||||||
\(555\) | 16.6851 | + | 8.67637i | 0.0300633 | + | 0.0156331i | ||||
\(556\) | −1.15295 | − | 1.99696i | −0.00207365 | − | 0.00359166i | ||||
\(557\) | 217.246 | + | 376.281i | 0.390028 | + | 0.675549i | 0.992453 | − | 0.122627i | \(-0.0391319\pi\) |
−0.602425 | + | 0.798176i | \(0.705799\pi\) | |||||||
\(558\) | 242.891 | + | 17.5065i | 0.435288 | + | 0.0313736i | ||||
\(559\) | 976.805 | 1.74741 | ||||||||
\(560\) | 135.811 | + | 480.804i | 0.242521 | + | 0.858578i | ||||
\(561\) | 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 | \(-0.299218\pi\) |
−0.994262 | + | 0.106970i | \(0.965885\pi\) | |||||||
\(564\) | 1.36324 | − | 37.8770i | 0.00241709 | − | 0.0671579i | ||||
\(565\) | −39.8235 | − | 496.421i | −0.0704840 | − | 0.878620i | ||||
\(566\) | − | 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 | 0.791884 | − | 0.610671i | \(-0.209100\pi\) |
−0.132914 | + | 0.991128i | \(0.542434\pi\) | |||||||
\(570\) | −212.998 | − | 334.014i | −0.373680 | − | 0.585990i | ||||
\(571\) | −107.252 | − | 185.766i | −0.187832 | − | 0.325335i | 0.756695 | − | 0.653768i | \(-0.226813\pi\) |
−0.944527 | + | 0.328433i | \(0.893479\pi\) | |||||||
\(572\) | 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 | \(-0.609151\pi\) |
0.647492 | + | 0.762073i | \(0.275818\pi\) | |||||||
\(578\) | −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 | ||||
\(585\) | 762.820 | − | 6.17797i | 1.30397 | − | 0.0105606i | ||||
\(586\) | −134.763 | + | 233.416i | −0.229971 | + | 0.398321i | ||||
\(587\) | −473.066 | −0.805905 | −0.402953 | − | 0.915221i | \(-0.632016\pi\) | ||||
−0.402953 | + | 0.915221i | \(0.632016\pi\) | |||||||
\(588\) | 20.0414 | + | 54.1435i | 0.0340841 | + | 0.0920807i | ||||
\(589\) | 198.099 | 0.336332 | ||||||||
\(590\) | 829.329 | − | 66.5298i | 1.40564 | − | 0.112762i | ||||
\(591\) | −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 | \(-0.711955\pi\) |
0.989895 | + | 0.141799i | \(0.0452887\pi\) | |||||||
\(594\) | −492.065 | − | 53.3141i | −0.828392 | − | 0.0897544i | ||||
\(595\) | −826.686 | − | 209.594i | −1.38939 | − | 0.352259i | ||||
\(596\) | 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 | −0.580210 | − | 0.814467i | \(-0.697029\pi\) |
0.415244 | + | 0.909710i | \(0.363696\pi\) | |||||||
\(600\) | −77.4687 | − | 620.914i | −0.129114 | − | 1.03486i | ||||
\(601\) | −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 | ||||
\(605\) | 125.750 | + | 59.7467i | 0.207851 | + | 0.0987548i | ||||
\(606\) | −310.143 | − | 11.1624i | −0.511787 | − | 0.0184198i | ||||
\(607\) | −187.998 | − | 108.541i | −0.309716 | − | 0.178815i | 0.337083 | − | 0.941475i | \(-0.390560\pi\) |
−0.646800 | + | 0.762660i | \(0.723893\pi\) | |||||||
\(608\) | −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 | \(-0.654463\pi\) |
0.532827 | + | 0.846224i | \(0.321130\pi\) | |||||||
\(614\) | −308.935 | − | 178.364i | −0.503152 | − | 0.290495i | ||||
\(615\) | −15.9292 | − | 361.184i | −0.0259012 | − | 0.587291i | ||||
\(616\) | 533.558 | + | 181.776i | 0.866166 | + | 0.295091i | ||||
\(617\) | −140.650 | −0.227958 | −0.113979 | − | 0.993483i | \(-0.536360\pi\) | ||||
−0.113979 | + | 0.993483i | \(0.536360\pi\) | |||||||
\(618\) | 292.207 | + | 550.982i | 0.472827 | + | 0.891557i | ||||
\(619\) | 41.4260 | + | 71.7519i | 0.0669241 | + | 0.115916i | 0.897546 | − | 0.440921i | \(-0.145348\pi\) |
−0.830622 | + | 0.556837i | \(0.812015\pi\) | |||||||
\(620\) | 25.2689 | + | 12.0059i | 0.0407563 | + | 0.0193643i | ||||
\(621\) | 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 | ||||
\(625\) | 593.233 | − | 196.722i | 0.949173 | − | 0.314756i | ||||
\(626\) | 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 | ||||||
\(630\) | 120.819 | + | 585.946i | 0.191776 | + | 0.930073i | ||||
\(631\) | 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 | ||||
\(635\) | 444.762 | − | 35.6794i | 0.700413 | − | 0.0561880i | ||||
\(636\) | −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 | ||||
\(640\) | 478.661 | + | 227.423i | 0.747908 | + | 0.355348i | ||||
\(641\) | −115.942 | + | 66.9392i | −0.180877 | + | 0.104429i | −0.587705 | − | 0.809076i | \(-0.699968\pi\) |
0.406828 | + | 0.913505i | \(0.366635\pi\) | |||||||
\(642\) | 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 | ||||
\(645\) | −38.0820 | − | 863.482i | −0.0590419 | − | 1.33873i | ||||
\(646\) | −321.763 | + | 557.311i | −0.498086 | + | 0.862710i | ||||
\(647\) | −76.8005 | − | 133.022i | −0.118702 | − | 0.205599i | 0.800551 | − | 0.599264i | \(-0.204540\pi\) |
−0.919254 | + | 0.393666i | \(0.871207\pi\) | |||||||
\(648\) | −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 | \(-0.773284\pi\) |
0.944428 | + | 0.328720i | \(0.106617\pi\) | |||||||
\(654\) | 29.0131 | − | 806.118i | 0.0443625 | − | 1.23260i | ||||
\(655\) | −240.255 | + | 505.668i | −0.366801 | + | 0.772012i | ||||
\(656\) | 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 | \(0.195273\pi\) | ||||
−0.817655 | + | 0.575708i | \(0.804727\pi\) | |||||||
\(660\) | −50.4471 | − | 26.2328i | −0.0764350 | − | 0.0397467i | ||||
\(661\) | −495.701 | − | 858.579i | −0.749926 | − | 1.29891i | −0.947858 | − | 0.318694i | \(-0.896756\pi\) |
0.197932 | − | 0.980216i | \(-0.436578\pi\) | |||||||
\(662\) | 52.3842 | + | 90.7321i | 0.0791302 | + | 0.137058i | ||||
\(663\) | −580.604 | − | 1094.78i | −0.875723 | − | 1.65125i | ||||
\(664\) | −580.995 | −0.874992 | ||||||||
\(665\) | 132.296 | + | 468.357i | 0.198941 | + | 0.704296i | ||||
\(666\) | −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 | ||||
\(670\) | 941.859 | − | 75.5571i | 1.40576 | − | 0.112772i | ||||
\(671\) | − | 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 | ||||
\(675\) | −35.2008 | − | 674.082i | −0.0521493 | − | 0.998639i | ||||
\(676\) | −23.2454 | − | 40.2622i | −0.0343867 | − | 0.0595595i | ||||
\(677\) | 68.0959 | − | 117.946i | 0.100585 | − | 0.174218i | −0.811341 | − | 0.584573i | \(-0.801262\pi\) |
0.911926 | + | 0.410355i | \(0.134595\pi\) | |||||||
\(678\) | 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 | 0.840992 | + | 0.541047i | \(0.181972\pi\) |
0.0480644 | + | 0.998844i | \(0.484695\pi\) | |||||||
\(684\) | −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 | ||||
\(690\) | −10.8634 | − | 17.0356i | −0.0157441 | − | 0.0246893i | ||||
\(691\) | −580.261 | + | 1005.04i | −0.839741 | + | 1.45447i | 0.0503694 | + | 0.998731i | \(0.483960\pi\) |
−0.890111 | + | 0.455744i | \(0.849373\pi\) | |||||||
\(692\) | −6.11253 | −0.00883314 | ||||||||
\(693\) | 559.987 | + | 236.959i | 0.808062 | + | 0.341933i | ||||
\(694\) | −271.116 | −0.390657 | ||||||||
\(695\) | 2.34744 | + | 29.2621i | 0.00337761 | + | 0.0421037i | ||||
\(696\) | 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 | ||||
\(700\) | −11.5097 | + | 67.7600i | −0.0164424 | + | 0.0967999i | ||||
\(701\) | − | 1106.20i | − | 1.57803i | −0.614373 | − | 0.789016i | \(-0.710591\pi\) | ||
0.614373 | − | 0.789016i | \(-0.289409\pi\) | |||||||
\(702\) | −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 | ||||
\(705\) | −222.614 | + | 428.099i | −0.315765 | + | 0.607232i | ||||
\(706\) | 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 | 0.432929 | + | 0.901428i | \(0.357480\pi\) |
−0.997124 | + | 0.0757864i | \(0.975853\pi\) | |||||||
\(710\) | −206.832 | + | 435.322i | −0.291312 | + | 0.613129i | ||||
\(711\) | 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 | −0.0537665 | − | 0.998554i | \(-0.517123\pi\) |
−0.891656 | + | 0.452714i | \(0.850456\pi\) | |||||||
\(720\) | 558.887 | + | 316.666i | 0.776232 | + | 0.439815i | ||||
\(721\) | −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 | ||||
\(725\) | 66.1067 | + | 409.376i | 0.0911817 | + | 0.564656i | ||||
\(726\) | −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 | ||||
\(730\) | −890.867 | + | 71.4665i | −1.22037 | + | 0.0978993i | ||||
\(731\) | −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 | \(-0.487359\pi\) |
−0.845491 | + | 0.533989i | \(0.820692\pi\) | |||||||
\(734\) | 559.762i | 0.762618i | ||||||||
\(735\) | 65.3531 | − | 732.089i | 0.0889157 | − | 0.996039i | ||||
\(736\) | −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 | −0.993513 | − | 0.113722i | \(-0.963723\pi\) |
0.398270 | − | 0.917268i | \(-0.369611\pi\) | |||||||
\(740\) | −2.45413 | + | 0.196874i | −0.00331640 | + | 0.000266046i | ||||
\(741\) | −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 | \(-0.483499\pi\) | ||||
0.0518171 | + | 0.998657i | \(0.483499\pi\) | |||||||
\(744\) | −315.016 | + | 167.065i | −0.423408 | + | 0.224550i | ||||
\(745\) | 12.3478 | − | 25.9885i | 0.0165742 | − | 0.0348840i | ||||
\(746\) | −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 | ||||
\(750\) | −223.655 | + | 676.202i | −0.298206 | + | 0.901602i | ||||
\(751\) | −399.639 | + | 692.195i | −0.532142 | + | 0.921697i | 0.467154 | + | 0.884176i | \(0.345279\pi\) |
−0.999296 | + | 0.0375212i | \(0.988054\pi\) | |||||||
\(752\) | −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 | ||||
\(760\) | 523.930 | + | 248.931i | 0.689381 | + | 0.327541i | ||||
\(761\) | 654.465 | + | 377.855i | 0.860006 | + | 0.496525i | 0.864014 | − | 0.503467i | \(-0.167943\pi\) |
−0.00400819 | + | 0.999992i | \(0.501276\pi\) | |||||||
\(762\) | −269.906 | + | 430.914i | −0.354207 | + | 0.565504i | ||||
\(763\) | −319.578 | + | 938.044i | −0.418845 | + | 1.22942i | ||||
\(764\) | − | 19.0676i | − | 0.0249576i | ||||||
\(765\) | −945.135 | + | 555.928i | −1.23547 | + | 0.726703i | ||||
\(766\) | −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 | \(0.506349\pi\) | |||||||
\(770\) | −459.758 | − | 447.512i | −0.597088 | − | 0.581185i | ||||
\(771\) | −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 | −0.982539 | − | 0.186056i | \(-0.940430\pi\) |
0.330141 | − | 0.943932i | \(-0.392904\pi\) | |||||||
\(774\) | 815.383 | + | 552.523i | 1.05347 | + | 0.713854i | ||||
\(775\) | −224.974 | − | 276.110i | −0.290288 | − | 0.356271i | ||||
\(776\) | 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 | ||||
\(780\) | −84.2042 | + | 53.6962i | −0.107954 | + | 0.0688413i | ||||
\(781\) | 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 | \(-0.461969\pi\) |
0.919449 | + | 0.393210i | \(0.128636\pi\) | |||||||
\(788\) | −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 | ||||
\(795\) | 139.991 | + | 219.527i | 0.176089 | + | 0.276135i | ||||
\(796\) | −3.04528 | + | 5.27458i | −0.00382573 | + | 0.00662636i | ||||
\(797\) | −564.493 | −0.708272 | −0.354136 | − | 0.935194i | \(-0.615225\pi\) | ||||
−0.354136 | + | 0.935194i | \(0.615225\pi\) | |||||||
\(798\) | −518.205 | − | 197.619i | −0.649379 | − | 0.247643i | ||||
\(799\) | 783.835 | 0.981020 | ||||||||
\(800\) | 98.8623 | + | 121.334i | 0.123578 | + | 0.151667i | ||||
\(801\) | 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 | ||||
\(805\) | 6.74743 | + | 23.8874i | 0.00838190 | + | 0.0296738i | ||||
\(806\) | 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 | −0.504743 | + | 0.863270i | \(0.668413\pi\) |
−0.999985 | + | 0.00548514i | \(0.998254\pi\) | |||||||
\(810\) | 640.254 | + | 426.326i | 0.790437 | + | 0.526329i | ||||
\(811\) | 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 | ||||
\(815\) | −6.42771 | + | 13.5285i | −0.00788676 | + | 0.0165994i | ||||
\(816\) | 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 | 0.630086 | − | 0.776526i | \(-0.283020\pi\) |
−0.357448 | + | 0.933933i | \(0.616353\pi\) | |||||||
\(822\) | 18.1437 | − | 504.117i | 0.0220726 | − | 0.613281i | ||||
\(823\) | 225.608 | − | 130.255i | 0.274128 | − | 0.158268i | −0.356634 | − | 0.934244i | \(-0.616076\pi\) |
0.630762 | + | 0.775976i | \(0.282742\pi\) | |||||||
\(824\) | −790.863 | − | 456.605i | −0.959786 | − | 0.554133i | ||||
\(825\) | 436.768 | + | 577.264i | 0.529416 | + | 0.699714i | ||||
\(826\) | 876.584 | − | 767.033i | 1.06124 | − | 0.928611i | ||||
\(827\) | 1026.67 | 1.24144 | 0.620719 | − | 0.784033i | \(-0.286841\pi\) | ||||
0.620719 | + | 0.784033i | \(0.286841\pi\) | |||||||
\(828\) | −2.50034 | − | 0.180214i | −0.00301974 | − | 0.000217649i | ||||
\(829\) | −330.653 | − | 572.708i | −0.398858 | − | 0.690842i | 0.594727 | − | 0.803927i | \(-0.297260\pi\) |
−0.993585 | + | 0.113085i | \(0.963927\pi\) | |||||||
\(830\) | 597.319 | + | 283.800i | 0.719662 | + | 0.341928i | ||||
\(831\) | 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 | ||||
\(835\) | −80.6832 | − | 1005.76i | −0.0966266 | − | 1.20450i | ||||
\(836\) | 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 | \(-0.912715\pi\) | ||
0.962639 | − | 0.270790i | \(-0.0872848\pi\) | |||||||
\(840\) | −605.359 | − | 633.206i | −0.720666 | − | 0.753817i | ||||
\(841\) | 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 | ||||
\(845\) | 47.3284 | + | 589.973i | 0.0560099 | + | 0.698193i | ||||
\(846\) | −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 | ||||
\(850\) | 1142.19 | − | 184.443i | 1.34375 | − | 0.216992i | ||||
\(851\) | −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 | ||||
\(855\) | 544.419 | + | 308.469i | 0.636747 | + | 0.360782i | ||||
\(856\) | −332.067 | + | 575.157i | −0.387929 | + | 0.671912i | ||||
\(857\) | −210.443 | − | 364.498i | −0.245558 | − | 0.425319i | 0.716730 | − | 0.697350i | \(-0.245638\pi\) |
−0.962288 | + | 0.272032i | \(0.912304\pi\) | |||||||
\(858\) | 33.5314 | − | 931.658i | 0.0390809 | − | 1.08585i | ||||
\(859\) | −162.130 | + | 280.817i | −0.188743 | + | 0.326912i | −0.944831 | − | 0.327557i | \(-0.893775\pi\) |
0.756089 | + | 0.654469i | \(0.227108\pi\) | |||||||
\(860\) | 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 | \(-0.786837\pi\) |
0.929579 | + | 0.368623i | \(0.120171\pi\) | |||||||
\(864\) | 154.638 | − | 68.2558i | 0.178979 | − | 0.0789997i | ||||
\(865\) | 70.2878 | + | 33.3954i | 0.0812576 | + | 0.0386074i | ||||
\(866\) | 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 | ||||||||
\(870\) | −419.257 | − | 218.016i | −0.481905 | − | 0.250594i | ||||
\(871\) | −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 | ||||||||
\(875\) | 502.551 | − | 716.287i | 0.574344 | − | 0.818614i | ||||
\(876\) | −58.8616 | + | 93.9746i | −0.0671936 | + | 0.107277i | ||||
\(877\) | −416.468 | − | 240.448i | −0.474879 | − | 0.274171i | 0.243401 | − | 0.969926i | \(-0.421737\pi\) |
−0.718280 | + | 0.695754i | \(0.755070\pi\) | |||||||
\(878\) | −117.832 | − | 204.091i | −0.134205 | − | 0.232450i | ||||
\(879\) | 15.3125 | − | 425.453i | 0.0174204 | − | 0.484019i | ||||
\(880\) | −686.674 | + | 55.0859i | −0.780312 | + | 0.0625976i | ||||
\(881\) | − | 290.875i | − | 0.330164i | −0.986280 | − | 0.165082i | \(-0.947211\pi\) | ||
0.986280 | − | 0.165082i | \(-0.0527889\pi\) | |||||||
\(882\) | 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 | ||||
\(885\) | −1108.05 | + | 706.594i | −1.25204 | + | 0.798411i | ||||
\(886\) | 531.854 | + | 921.197i | 0.600286 | + | 1.03973i | ||||
\(887\) | −4.69270 | + | 8.12799i | −0.00529053 | + | 0.00916347i | −0.868659 | − | 0.495411i | \(-0.835017\pi\) |
0.863368 | + | 0.504575i | \(0.168351\pi\) | |||||||
\(888\) | 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 | ||||
\(900\) | 50.7495 | + | 72.3419i | 0.0563884 | + | 0.0803799i | ||||
\(901\) | 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 | ||||||||
\(905\) | −50.0983 | − | 624.501i | −0.0553572 | − | 0.690056i | ||||
\(906\) | −53.8754 | + | 1496.91i | −0.0594651 | + | 1.65222i | ||||
\(907\) | 7.09022 | − | 4.09354i | 0.00781722 | − | 0.00451327i | −0.496086 | − | 0.868273i | \(-0.665230\pi\) |
0.503904 | + | 0.863760i | \(0.331897\pi\) | |||||||
\(908\) | −76.9028 | + | 133.200i | −0.0846947 | + | 0.146696i | ||||
\(909\) | 441.050 | − | 213.948i | 0.485203 | − | 0.235367i | ||||
\(910\) | −1084.45 | + | 306.323i | −1.19171 | + | 0.336618i | ||||
\(911\) | 1803.12i | 1.97927i | 0.143590 | + | 0.989637i | \(0.454135\pi\) | ||||
−0.143590 | + | 0.989637i | \(0.545865\pi\) | |||||||
\(912\) | −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 | ||||
\(915\) | −723.027 | + | 1390.42i | −0.790194 | + | 1.51958i | ||||
\(916\) | 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 | −0.995745 | − | 0.0921496i | \(-0.970626\pi\) |
0.577677 | + | 0.816266i | \(0.303960\pi\) | |||||||
\(920\) | 26.7218 | + | 12.6961i | 0.0290454 | + | 0.0138002i | ||||
\(921\) | 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 | −0.393141 | − | 0.919478i | \(-0.628612\pi\) |
−0.992862 | + | 0.119269i | \(0.961945\pi\) | |||||||
\(930\) | 405.474 | − | 17.8825i | 0.435993 | − | 0.0192285i | ||||
\(931\) | 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 | ||||
\(935\) | 504.640 | − | 1062.12i | 0.539722 | − | 1.13596i | ||||
\(936\) | 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 | ||||
\(940\) | −5.05129 | − | 62.9670i | −0.00537371 | − | 0.0669861i | ||||
\(941\) | 1132.00 | − | 653.560i | 1.20298 | − | 0.694538i | 0.241759 | − | 0.970336i | \(-0.422275\pi\) |
0.961216 | + | 0.275798i | \(0.0889422\pi\) | |||||||
\(942\) | 891.589 | + | 32.0893i | 0.946485 | + | 0.0340651i | ||||
\(943\) | 14.8034 | + | 8.54673i | 0.0156982 | + | 0.00906335i | ||||
\(944\) | − | 1250.64i | − | 1.32483i | ||||||
\(945\) | −602.232 | − | 728.245i | −0.637283 | − | 0.770630i | ||||
\(946\) | −1056.28 | −1.11657 | ||||||||
\(947\) | −493.680 | + | 855.078i | −0.521309 | + | 0.902934i | 0.478384 | + | 0.878151i | \(0.341223\pi\) |
−0.999693 | + | 0.0247830i | \(0.992111\pi\) | |||||||
\(948\) | −0.314674 | + | 8.74311i | −0.000331935 | + | 0.00922269i | ||||
\(949\) | 797.703 | + | 1381.66i | 0.840572 | + | 1.45591i | ||||
\(950\) | −417.055 | − | 511.851i | −0.439005 | − | 0.538791i | ||||
\(951\) | 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 | \(-0.523736\pi\) | ||||
−0.0745012 | + | 0.997221i | \(0.523736\pi\) | |||||||
\(954\) | −295.935 | − | 21.3297i | −0.310204 | − | 0.0223582i | ||||
\(955\) | −104.175 | + | 219.258i | −0.109083 | + | 0.229589i | ||||
\(956\) | 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 | ||||
\(960\) | −1033.84 | + | 45.5951i | −1.07691 | + | 0.0474949i | ||||
\(961\) | 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 | ||||
\(970\) | 368.622 | − | 775.846i | 0.380023 | − | 0.799841i | ||||
\(971\) | −199.574 | − | 115.224i | −0.205534 | − | 0.118665i | 0.393700 | − | 0.919239i | \(-0.371195\pi\) |
−0.599234 | + | 0.800574i | \(0.704528\pi\) | |||||||
\(972\) | 89.8549 | − | 32.1617i | 0.0924433 | − | 0.0330881i | ||||
\(973\) | 27.0640 | + | 30.9294i | 0.0278150 | + | 0.0317876i | ||||
\(974\) | 1538.23i | 1.57929i | ||||||||
\(975\) | 1261.63 | − | 157.407i | 1.29398 | − | 0.161443i | ||||
\(976\) | −745.702 | − | 1291.59i | −0.764038 | − | 1.32335i | ||||
\(977\) | 592.145 | + | 1025.62i | 0.606085 | + | 1.04977i | 0.991879 | + | 0.127185i | \(0.0405940\pi\) |
−0.385795 | + | 0.922585i | \(0.626073\pi\) | |||||||
\(978\) | −7.99695 | − | 15.0789i | −0.00817684 | − | 0.0154181i | ||||
\(979\) | −872.945 | −0.891670 | ||||||||
\(980\) | 43.6244 | + | 85.7655i | 0.0445147 | + | 0.0875159i | ||||
\(981\) | 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 | \(-0.270371\pi\) |
−0.980501 | + | 0.196515i | \(0.937038\pi\) | |||||||
\(984\) | −602.871 | − | 21.6980i | −0.612673 | − | 0.0220508i | ||||
\(985\) | 141.634 | + | 1765.54i | 0.143791 | + | 1.79243i | ||||
\(986\) | 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 | ||||
\(990\) | −824.881 | + | 6.68060i | −0.833213 | + | 0.00674808i | ||||
\(991\) | −187.208 | − | 324.254i | −0.188908 | − | 0.327199i | 0.755978 | − | 0.654597i | \(-0.227162\pi\) |
−0.944887 | + | 0.327398i | \(0.893828\pi\) | |||||||
\(992\) | 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 | \(-0.810933\pi\) |
0.0703132 | + | 0.997525i | \(0.477600\pi\) | |||||||
\(998\) | 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.44.6 | yes | 40 | |
3.2 | odd | 2 | inner | 105.3.o.b.44.16 | yes | 40 | |
5.4 | even | 2 | inner | 105.3.o.b.44.15 | yes | 40 | |
7.4 | even | 3 | inner | 105.3.o.b.74.5 | yes | 40 | |
15.14 | odd | 2 | inner | 105.3.o.b.44.5 | ✓ | 40 | |
21.11 | odd | 6 | inner | 105.3.o.b.74.15 | yes | 40 | |
35.4 | even | 6 | inner | 105.3.o.b.74.16 | yes | 40 | |
105.74 | odd | 6 | inner | 105.3.o.b.74.6 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.o.b.44.5 | ✓ | 40 | 15.14 | odd | 2 | inner | |
105.3.o.b.44.6 | yes | 40 | 1.1 | even | 1 | trivial | |
105.3.o.b.44.15 | yes | 40 | 5.4 | even | 2 | inner | |
105.3.o.b.44.16 | yes | 40 | 3.2 | odd | 2 | inner | |
105.3.o.b.74.5 | yes | 40 | 7.4 | even | 3 | inner | |
105.3.o.b.74.6 | yes | 40 | 105.74 | odd | 6 | inner | |
105.3.o.b.74.15 | yes | 40 | 21.11 | odd | 6 | inner | |
105.3.o.b.74.16 | yes | 40 | 35.4 | even | 6 | inner |