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 | 44.16 | ||
Character | \(\chi\) | \(=\) | 105.44 |
Dual form | 105.3.o.b.74.16 |
$q$-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 | −0.524765 | − | 0.851247i | \(-0.675847\pi\) |
0.999584 | + | 0.0288361i | \(0.00918008\pi\) | |||||||
\(3\) | 2.65035 | + | 1.40558i | 0.883449 | + | 0.468527i | ||||
\(4\) | 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 | ||||||||
\(9\) | 5.04868 | + | 7.45056i | 0.560964 | + | 0.827840i | ||||
\(10\) | 8.57746 | + | 4.07535i | 0.857746 | + | 0.407535i | ||||
\(11\) | −8.35863 | + | 4.82586i | −0.759876 | + | 0.438714i | −0.829251 | − | 0.558876i | \(-0.811233\pi\) |
0.0693754 | + | 0.997591i | \(0.477899\pi\) | |||||||
\(12\) | 0.0423786 | + | 1.17748i | 0.00353155 | + | 0.0981229i | ||||
\(13\) | − | 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 | −0.962311 | − | 0.271953i | \(-0.912330\pi\) |
0.245637 | − | 0.969362i | \(-0.421003\pi\) | |||||||
\(18\) | 17.0493 | − | 1.22884i | 0.947182 | − | 0.0682687i | ||||
\(19\) | 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 | ||||
\(21\) | −4.81249 | − | 20.4411i | −0.229166 | − | 0.973387i | ||||
\(22\) | 18.3313i | 0.833240i | ||||||||
\(23\) | −0.354602 | + | 0.614188i | −0.0154175 | + | 0.0267038i | −0.873631 | − | 0.486589i | \(-0.838241\pi\) |
0.858214 | + | 0.513292i | \(0.171574\pi\) | |||||||
\(24\) | 22.1120 | + | 11.7268i | 0.921331 | + | 0.488618i | ||||
\(25\) | −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 | \(0.0923209\pi\) | ||||
−0.958234 | + | 0.285986i | \(0.907679\pi\) | |||||||
\(30\) | 17.0050 | + | 22.8574i | 0.566834 | + | 0.761914i | ||||
\(31\) | 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 | ||||
\(33\) | −28.9364 | + | 1.04145i | −0.876861 | + | 0.0315592i | ||||
\(34\) | −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 | ||||
\(39\) | 23.8276 | − | 44.9289i | 0.610963 | − | 1.15202i | ||||
\(40\) | 3.33573 | + | 41.5816i | 0.0833933 | + | 1.03954i | ||||
\(41\) | − | 24.1024i | − | 0.587862i | −0.955827 | − | 0.293931i | \(-0.905036\pi\) | ||
0.955827 | − | 0.293931i | \(-0.0949637\pi\) | |||||||
\(42\) | −38.1922 | − | 11.4960i | −0.909337 | − | 0.273714i | ||||
\(43\) | 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 | ||||
\(45\) | −35.1149 | + | 28.1414i | −0.780332 | + | 0.625365i | ||||
\(46\) | 0.673487 | + | 1.16651i | 0.0146410 | + | 0.0253590i | ||||
\(47\) | −16.0840 | + | 27.8583i | −0.342213 | + | 0.592730i | −0.984843 | − | 0.173446i | \(-0.944510\pi\) |
0.642630 | + | 0.766176i | \(0.277843\pi\) | |||||||
\(48\) | 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 | ||||
\(51\) | −2.62927 | − | 73.0534i | −0.0515544 | − | 1.43242i | ||||
\(52\) | 5.76588 | − | 3.32893i | 0.110882 | − | 0.0640180i | ||||
\(53\) | 8.67882 | + | 15.0322i | 0.163751 | + | 0.283625i | 0.936211 | − | 0.351438i | \(-0.114307\pi\) |
−0.772460 | + | 0.635064i | \(0.780974\pi\) | |||||||
\(54\) | 46.9137 | + | 20.7073i | 0.868772 | + | 0.383469i | ||||
\(55\) | −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 | \(-0.933013\pi\) |
−0.308060 | + | 0.951367i | \(0.599680\pi\) | |||||||
\(60\) | −5.85158 | + | 0.681995i | −0.0975263 | + | 0.0113666i | ||||
\(61\) | 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 | ||||||||
\(63\) | 15.9769 | − | 60.9404i | 0.253602 | − | 0.967309i | ||||
\(64\) | 68.9894 | 1.07796 | ||||||||
\(65\) | 84.4891 | − | 6.77782i | 1.29983 | − | 0.104274i | ||||
\(66\) | −25.7661 | + | 48.5843i | −0.390396 | + | 0.736125i | ||||
\(67\) | 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 | \(-0.883661\pi\) | ||
0.933949 | − | 0.357407i | \(-0.116339\pi\) | |||||||
\(72\) | 42.1213 | + | 62.1603i | 0.585018 | + | 0.863338i | ||||
\(73\) | −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 | ||||
\(75\) | −71.0131 | − | 24.1274i | −0.946842 | − | 0.321699i | ||||
\(76\) | 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 | ||||
\(81\) | −30.0217 | + | 75.2310i | −0.370639 | + | 0.928777i | ||||
\(82\) | −39.6441 | − | 22.8885i | −0.483465 | − | 0.279128i | ||||
\(83\) | −69.6382 | −0.839015 | −0.419508 | − | 0.907752i | \(-0.637797\pi\) | ||||
−0.419508 | + | 0.907752i | \(0.637797\pi\) | |||||||
\(84\) | 6.00756 | − | 5.65095i | 0.0715185 | − | 0.0672732i | ||||
\(85\) | 100.303 | − | 69.1594i | 1.18003 | − | 0.813640i | ||||
\(86\) | 94.7770 | + | 54.7196i | 1.10206 | + | 0.636274i | ||||
\(87\) | −23.3146 | + | 43.9617i | −0.267984 | + | 0.505307i | ||||
\(88\) | −69.7364 | + | 40.2623i | −0.792459 | + | 0.457527i | ||||
\(89\) | 78.3272 | + | 45.2223i | 0.880081 | + | 0.508115i | 0.870685 | − | 0.491841i | \(-0.163676\pi\) |
0.00939614 | + | 0.999956i | \(0.497009\pi\) | |||||||
\(90\) | 12.9412 | + | 84.4820i | 0.143791 | + | 0.938689i | ||||
\(91\) | −89.3032 | + | 78.1425i | −0.981354 | + | 0.858709i | ||||
\(92\) | −0.278537 | −0.00302757 | ||||||||
\(93\) | 1.53723 | + | 42.7115i | 0.0165294 | + | 0.459264i | ||||
\(94\) | 30.5480 | + | 52.9107i | 0.324979 | + | 0.562879i | ||||
\(95\) | 62.7984 | + | 29.8370i | 0.661036 | + | 0.314073i | ||||
\(96\) | 0.675522 | + | 18.7691i | 0.00703669 | + | 0.195512i | ||||
\(97\) | − | 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 | −0.247967 | − | 0.968768i | \(-0.579762\pi\) |
0.714995 | + | 0.699130i | \(0.246429\pi\) | |||||||
\(102\) | −122.657 | − | 65.0496i | −1.20252 | − | 0.637742i | ||||
\(103\) | 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 | ||||||
\(105\) | 99.9542 | − | 32.1582i | 0.951945 | − | 0.306269i | ||||
\(106\) | 32.9670 | 0.311009 | ||||||||
\(107\) | −39.8017 | + | 68.9385i | −0.371978 | + | 0.644285i | −0.989870 | − | 0.141978i | \(-0.954654\pi\) |
0.617892 | + | 0.786263i | \(0.287987\pi\) | |||||||
\(108\) | −8.55889 | + | 6.26044i | −0.0792490 | + | 0.0579670i | ||||
\(109\) | −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 | \(-0.645277\pi\) | ||||
−0.440722 | + | 0.897644i | \(0.645277\pi\) | |||||||
\(114\) | −2.84972 | − | 79.1784i | −0.0249975 | − | 0.694547i | ||||
\(115\) | −3.20288 | − | 1.52176i | −0.0278512 | − | 0.0132327i | ||||
\(116\) | −5.64176 | + | 3.25727i | −0.0486358 | + | 0.0280799i | ||||
\(117\) | 126.303 | − | 85.5857i | 1.07951 | − | 0.731502i | ||||
\(118\) | 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 | ||||
\(123\) | 33.8778 | − | 63.8796i | 0.275430 | − | 0.519346i | ||||
\(124\) | −2.79761 | + | 4.84560i | −0.0225613 | + | 0.0390774i | ||||
\(125\) | −29.7310 | − | 121.413i | −0.237848 | − | 0.971302i | ||||
\(126\) | −85.0639 | − | 84.1506i | −0.675110 | − | 0.667862i | ||||
\(127\) | 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 | ||||
\(129\) | −80.9917 | + | 152.717i | −0.627843 | + | 1.18385i | ||||
\(130\) | 69.0858 | − | 145.406i | 0.531429 | − | 1.11851i | ||||
\(131\) | 96.9674 | + | 55.9841i | 0.740209 | + | 0.427360i | 0.822145 | − | 0.569278i | \(-0.192777\pi\) |
−0.0819364 | + | 0.996638i | \(0.526110\pi\) | |||||||
\(132\) | −6.03656 | − | 9.63757i | −0.0457315 | − | 0.0730119i | ||||
\(133\) | −95.4872 | + | 18.8840i | −0.717949 | + | 0.141985i | ||||
\(134\) | − | 188.977i | − | 1.41028i | ||||||
\(135\) | −132.622 | + | 25.2277i | −0.982384 | + | 0.186871i | ||||
\(136\) | −101.647 | − | 176.058i | −0.747405 | − | 1.29454i | ||||
\(137\) | 44.2662 | + | 76.6714i | 0.323111 | + | 0.559645i | 0.981128 | − | 0.193358i | \(-0.0619379\pi\) |
−0.658017 | + | 0.753003i | \(0.728605\pi\) | |||||||
\(138\) | 0.145343 | + | 4.03831i | 0.00105321 | + | 0.0292631i | ||||
\(139\) | −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 | ||||
\(144\) | 128.140 | − | 9.23580i | 0.889865 | − | 0.0641375i | ||||
\(145\) | −82.6702 | + | 6.63191i | −0.570139 | + | 0.0457373i | ||||
\(146\) | 178.746i | 1.22429i | ||||||||
\(147\) | −85.4996 | + | 119.578i | −0.581630 | + | 0.813454i | ||||
\(148\) | − | 0.492404i | − | 0.00332705i | ||||||
\(149\) | −4.98359 | − | 2.87728i | −0.0334469 | − | 0.0193106i | 0.483183 | − | 0.875519i | \(-0.339480\pi\) |
−0.516630 | + | 0.856209i | \(0.672814\pi\) | |||||||
\(150\) | −107.122 | + | 93.8917i | −0.714148 | + | 0.625944i | ||||
\(151\) | 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 | ||||
\(156\) | 19.9607 | − | 0.718407i | 0.127953 | − | 0.00460517i | ||||
\(157\) | 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 | ||||
\(159\) | 1.87295 | + | 52.0392i | 0.0117795 | + | 0.327291i | ||||
\(160\) | −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 | ||||
\(165\) | −16.7600 | − | 143.802i | −0.101576 | − | 0.871530i | ||||
\(166\) | −66.1312 | + | 114.543i | −0.398381 | + | 0.690015i | ||||
\(167\) | −201.798 | −1.20837 | −0.604186 | − | 0.796844i | \(-0.706501\pi\) | ||||
−0.604186 | + | 0.796844i | \(0.706501\pi\) | |||||||
\(168\) | −40.1508 | − | 170.541i | −0.238993 | − | 1.01513i | ||||
\(169\) | −118.374 | −0.700436 | ||||||||
\(170\) | −18.5036 | − | 230.656i | −0.108844 | − | 1.35680i | ||||
\(171\) | 124.823 | − | 8.99671i | 0.729960 | − | 0.0526123i | ||||
\(172\) | −19.5987 | + | 11.3153i | −0.113946 | + | 0.0657866i | ||||
\(173\) | 7.78179 | − | 13.4785i | 0.0449814 | − | 0.0779101i | −0.842658 | − | 0.538449i | \(-0.819010\pi\) |
0.887640 | + | 0.460539i | \(0.152344\pi\) | |||||||
\(174\) | 50.1688 | + | 80.0962i | 0.288326 | + | 0.460323i | ||||
\(175\) | 134.761 | + | 111.644i | 0.770066 | + | 0.637965i | ||||
\(176\) | 137.776i | 0.782818i | ||||||||
\(177\) | −262.665 | + | 9.45359i | −1.48398 | + | 0.0534101i | ||||
\(178\) | 148.765 | − | 85.8896i | 0.835759 | − | 0.482526i | ||||
\(179\) | 27.1566 | − | 15.6789i | 0.151713 | − | 0.0875916i | −0.422222 | − | 0.906493i | \(-0.638750\pi\) |
0.573935 | + | 0.818901i | \(0.305416\pi\) | |||||||
\(180\) | −16.4673 | − | 6.41735i | −0.0914851 | − | 0.0356520i | ||||
\(181\) | 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 | ||||
\(186\) | 71.7127 | + | 38.0320i | 0.385552 | + | 0.204473i | ||||
\(187\) | 203.674 | + | 117.591i | 1.08917 | + | 0.628830i | ||||
\(188\) | −12.6339 | −0.0672013 | ||||||||
\(189\) | 128.001 | − | 139.056i | 0.677255 | − | 0.735748i | ||||
\(190\) | 108.712 | − | 74.9578i | 0.572170 | − | 0.394515i | ||||
\(191\) | 42.0451 | + | 24.2747i | 0.220131 | + | 0.127093i | 0.606011 | − | 0.795456i | \(-0.292769\pi\) |
−0.385880 | + | 0.922549i | \(0.626102\pi\) | |||||||
\(192\) | 182.846 | + | 96.9702i | 0.952322 | + | 0.505053i | ||||
\(193\) | −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 | ||||
\(195\) | 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 | \(0.144226\pi\) | |||||||
\(198\) | −136.578 | + | 92.5488i | −0.689790 | + | 0.467418i | ||||
\(199\) | 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 | ||||
\(201\) | 298.305 | − | 10.7363i | 1.48410 | − | 0.0534146i | ||||
\(202\) | − | 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 | ||||
\(207\) | −6.36631 | + | 0.458856i | −0.0307551 | + | 0.00221669i | ||||
\(208\) | −209.567 | − | 120.994i | −1.00753 | − | 0.581700i | ||||
\(209\) | 134.209i | 0.642150i | ||||||||
\(210\) | 42.0258 | − | 194.946i | 0.200123 | − | 0.928313i | ||||
\(211\) | −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 | ||||
\(213\) | 71.3359 | − | 134.510i | 0.334910 | − | 0.631502i | ||||
\(214\) | 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 | ||||||||
\(219\) | −282.155 | + | 10.1551i | −1.28838 | + | 0.0463702i | ||||
\(220\) | 8.13379 | − | 17.1193i | 0.0369718 | − | 0.0778151i | ||||
\(221\) | −357.729 | + | 206.535i | −1.61868 | + | 0.934548i | ||||
\(222\) | −7.13901 | + | 0.256941i | −0.0321577 | + | 0.00115739i | ||||
\(223\) | 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 | −0.869420 | − | 0.494074i | \(-0.835507\pi\) |
0.00682884 | − | 0.999977i | \(-0.497826\pi\) | |||||||
\(228\) | 14.4741 | + | 7.67619i | 0.0634830 | + | 0.0336675i | ||||
\(229\) | 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 | ||||
\(231\) | 138.872 | + | 147.636i | 0.601177 | + | 0.639115i | ||||
\(232\) | 138.387i | 0.596497i | ||||||||
\(233\) | 187.050 | − | 323.979i | 0.802788 | − | 1.39047i | −0.114986 | − | 0.993367i | \(-0.536682\pi\) |
0.917774 | − | 0.397103i | \(-0.129984\pi\) | |||||||
\(234\) | −20.8313 | − | 289.021i | −0.0890229 | − | 1.23513i | ||||
\(235\) | −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 | \(0.0550097\pi\) | ||||
−0.985104 | + | 0.171959i | \(0.944990\pi\) | |||||||
\(240\) | 127.808 | + | 171.794i | 0.532533 | + | 0.715808i | ||||
\(241\) | −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 | ||||
\(243\) | −185.311 | + | 157.190i | −0.762598 | + | 0.646873i | ||||
\(244\) | 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 | ||||
\(249\) | −184.566 | − | 97.8823i | −0.741227 | − | 0.393102i | ||||
\(250\) | −227.936 | − | 66.3961i | −0.911745 | − | 0.265584i | ||||
\(251\) | − | 279.326i | − | 1.11285i | −0.830897 | − | 0.556427i | \(-0.812172\pi\) | ||
0.830897 | − | 0.556427i | \(-0.187828\pi\) | |||||||
\(252\) | 23.8650 | − | 6.53286i | 0.0947023 | − | 0.0259240i | ||||
\(253\) | − | 6.84503i | − | 0.0270555i | ||||||
\(254\) | 146.781 | + | 84.7441i | 0.577878 | + | 0.333638i | ||||
\(255\) | 363.046 | − | 42.3126i | 1.42371 | − | 0.165932i | ||||
\(256\) | 37.3282 | + | 64.6544i | 0.145813 | + | 0.252556i | ||||
\(257\) | −80.6774 | + | 139.737i | −0.313920 | + | 0.543725i | −0.979207 | − | 0.202862i | \(-0.934976\pi\) |
0.665288 | + | 0.746587i | \(0.268309\pi\) | |||||||
\(258\) | 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 | ||||
\(261\) | −123.584 | + | 83.7432i | −0.473501 | + | 0.320855i | ||||
\(262\) | 184.168 | − | 106.329i | 0.702931 | − | 0.405837i | ||||
\(263\) | 15.5086 | + | 26.8617i | 0.0589680 | + | 0.102136i | 0.894002 | − | 0.448062i | \(-0.147886\pi\) |
−0.835034 | + | 0.550198i | \(0.814552\pi\) | |||||||
\(264\) | −241.418 | + | 8.68889i | −0.914461 | + | 0.0329125i | ||||
\(265\) | −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 | \(-0.468317\pi\) |
0.911425 | + | 0.411467i | \(0.134983\pi\) | |||||||
\(270\) | −84.4479 | + | 242.097i | −0.312770 | + | 0.896654i | ||||
\(271\) | 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 | ||||||||
\(273\) | −346.520 | + | 81.5819i | −1.26930 | + | 0.298835i | ||||
\(274\) | 168.148 | 0.613678 | ||||||||
\(275\) | 187.060 | − | 152.416i | 0.680220 | − | 0.554241i | ||||
\(276\) | −0.738219 | − | 0.391506i | −0.00267471 | − | 0.00141850i | ||||
\(277\) | −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 | \(-0.743226\pi\) | ||
0.691900 | − | 0.721993i | \(-0.256774\pi\) | |||||||
\(282\) | 6.59247 | + | 183.169i | 0.0233775 | + | 0.649537i | ||||
\(283\) | −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 | ||||
\(285\) | 124.499 | + | 167.347i | 0.436839 | + | 0.587181i | ||||
\(286\) | 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 | ||||
\(291\) | 127.137 | − | 239.728i | 0.436898 | − | 0.823809i | ||||
\(292\) | −32.0103 | − | 18.4812i | −0.109624 | − | 0.0632916i | ||||
\(293\) | −141.910 | −0.484333 | −0.242166 | − | 0.970235i | \(-0.577858\pi\) | ||||
−0.242166 | + | 0.970235i | \(0.577858\pi\) | |||||||
\(294\) | 115.490 | + | 254.187i | 0.392824 | + | 0.864582i | ||||
\(295\) | −248.664 | − | 360.640i | −0.842928 | − | 1.22251i | ||||
\(296\) | −9.05867 | − | 5.23003i | −0.0306036 | − | 0.0176690i | ||||
\(297\) | −153.850 | − | 210.335i | −0.518014 | − | 0.708197i | ||||
\(298\) | −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 | ||||||||
\(303\) | 163.295 | − | 5.87717i | 0.538928 | − | 0.0193966i | ||||
\(304\) | −99.2469 | − | 171.901i | −0.326470 | − | 0.565463i | ||||
\(305\) | 471.842 | + | 224.183i | 1.54702 | + | 0.735026i | ||||
\(306\) | −233.650 | − | 344.808i | −0.763563 | − | 1.12682i | ||||
\(307\) | 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 | −0.826375 | − | 0.563121i | \(-0.809601\pi\) |
0.0744894 | + | 0.997222i | \(0.476267\pi\) | |||||||
\(312\) | 198.794 | − | 374.844i | 0.637162 | − | 1.20142i | ||||
\(313\) | −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 | ||||||
\(315\) | 310.114 | + | 55.2634i | 0.984490 | + | 0.175440i | ||||
\(316\) | −2.91626 | −0.00922866 | ||||||||
\(317\) | 99.2398 | − | 171.888i | 0.313059 | − | 0.542235i | −0.665964 | − | 0.745984i | \(-0.731979\pi\) |
0.979023 | + | 0.203749i | \(0.0653128\pi\) | |||||||
\(318\) | 87.3739 | + | 46.3378i | 0.274761 | + | 0.145716i | ||||
\(319\) | −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 | ||||||||
\(324\) | −31.4836 | + | 4.56210i | −0.0971716 | + | 0.0140805i | ||||
\(325\) | 67.5612 | + | 418.383i | 0.207880 | + | 1.28733i | ||||
\(326\) | −4.92718 | + | 2.84471i | −0.0151141 | + | 0.00872611i | ||||
\(327\) | −15.2759 | − | 424.434i | −0.0467152 | − | 1.29796i | ||||
\(328\) | − | 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 | −0.821350 | − | 0.570424i | \(-0.806779\pi\) |
0.904677 | + | 0.426098i | \(0.140112\pi\) | |||||||
\(332\) | −13.6751 | − | 23.6859i | −0.0411900 | − | 0.0713431i | ||||
\(333\) | −0.811176 | − | 11.2545i | −0.00243596 | − | 0.0337974i | ||||
\(334\) | −191.635 | + | 331.922i | −0.573758 | + | 0.993778i | ||||
\(335\) | 282.404 | + | 409.574i | 0.842998 | + | 1.22261i | ||||
\(336\) | −287.048 | − | 86.4027i | −0.854310 | − | 0.257151i | ||||
\(337\) | − | 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 | ||||
\(339\) | −263.983 | − | 140.000i | −0.778710 | − | 0.412980i | ||||
\(340\) | 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 | ||||||||
\(345\) | −6.34979 | − | 8.53512i | −0.0184052 | − | 0.0247395i | ||||
\(346\) | −14.7798 | − | 25.5993i | −0.0427161 | − | 0.0739865i | ||||
\(347\) | −71.3734 | − | 123.622i | −0.205687 | − | 0.356260i | 0.744664 | − | 0.667439i | \(-0.232610\pi\) |
−0.950351 | + | 0.311179i | \(0.899276\pi\) | |||||||
\(348\) | −19.5310 | + | 0.702941i | −0.0561235 | + | 0.00201995i | ||||
\(349\) | 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 | 0.999068 | − | 0.0431618i | \(-0.0137431\pi\) |
−0.536913 | + | 0.843637i | \(0.680410\pi\) | |||||||
\(354\) | −233.887 | + | 441.014i | −0.660698 | + | 1.24580i | ||||
\(355\) | 252.947 | − | 20.2917i | 0.712525 | − | 0.0571597i | ||||
\(356\) | 35.5217i | 0.0997801i | ||||||||
\(357\) | −372.723 | + | 350.598i | −1.04404 | + | 0.982069i | ||||
\(358\) | − | 59.5571i | − | 0.166361i | ||||||
\(359\) | 78.5207 | + | 45.3340i | 0.218721 | + | 0.126278i | 0.605358 | − | 0.795954i | \(-0.293030\pi\) |
−0.386637 | + | 0.922232i | \(0.626363\pi\) | |||||||
\(360\) | −292.965 | + | 234.785i | −0.813793 | + | 0.652181i | ||||
\(361\) | 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 | ||||
\(366\) | −21.4116 | − | 594.914i | −0.0585017 | − | 1.62545i | ||||
\(367\) | 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 | ||||
\(369\) | 179.576 | − | 121.685i | 0.486656 | − | 0.329770i | ||||
\(370\) | −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 | ||||
\(375\) | 91.8583 | − | 363.575i | 0.244955 | − | 0.969534i | ||||
\(376\) | −134.190 | + | 232.423i | −0.356887 | + | 0.618147i | ||||
\(377\) | 281.187 | 0.745855 | ||||||||
\(378\) | −107.168 | − | 342.593i | −0.283514 | − | 0.906330i | ||||
\(379\) | −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 | ||||
\(381\) | −125.432 | + | 236.512i | −0.329217 | + | 0.620767i | ||||
\(382\) | 79.8553 | − | 46.1045i | 0.209045 | − | 0.120692i | ||||
\(383\) | 125.563 | − | 217.482i | 0.327841 | − | 0.567838i | −0.654242 | − | 0.756285i | \(-0.727012\pi\) |
0.982083 | + | 0.188448i | \(0.0603456\pi\) | |||||||
\(384\) | 269.469 | − | 168.784i | 0.701742 | − | 0.439541i | ||||
\(385\) | −83.0201 | + | 327.450i | −0.215637 | + | 0.850519i | ||||
\(386\) | 32.7495i | 0.0848432i | ||||||||
\(387\) | −429.312 | + | 290.912i | −1.10933 | + | 0.751711i | ||||
\(388\) | 30.7651 | − | 17.7623i | 0.0792916 | − | 0.0457790i | ||||
\(389\) | −24.1611 | + | 13.9494i | −0.0621108 | + | 0.0358597i | −0.530734 | − | 0.847539i | \(-0.678084\pi\) |
0.468623 | + | 0.883398i | \(0.344750\pi\) | |||||||
\(390\) | 387.481 | − | 288.271i | 0.993542 | − | 0.739155i | ||||
\(391\) | 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 | ||||
\(396\) | −2.45257 | − | 34.0278i | −0.00619336 | − | 0.0859287i | ||||
\(397\) | 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 | ||||||||
\(399\) | −279.617 | − | 84.1659i | −0.700795 | − | 0.210942i | ||||
\(400\) | −126.884 | + | 333.551i | −0.317209 | + | 0.833877i | ||||
\(401\) | −324.443 | − | 187.317i | −0.809084 | − | 0.467125i | 0.0375536 | − | 0.999295i | \(-0.488044\pi\) |
−0.846638 | + | 0.532170i | \(0.821377\pi\) | |||||||
\(402\) | 265.623 | − | 500.854i | 0.660753 | − | 1.24591i | ||||
\(403\) | 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 | ||||||||
\(408\) | −21.9361 | − | 609.488i | −0.0537650 | − | 1.49384i | ||||
\(409\) | 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 | ||||
\(411\) | 9.55296 | + | 265.426i | 0.0232432 | + | 0.645804i | ||||
\(412\) | 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 | ||||
\(417\) | −15.5608 | − | 8.25247i | −0.0373160 | − | 0.0197901i | ||||
\(418\) | 220.750 | + | 127.450i | 0.528111 | + | 0.304905i | ||||
\(419\) | 481.407i | 1.14894i | 0.818524 | + | 0.574472i | \(0.194792\pi\) | ||||
−0.818524 | + | 0.574472i | \(0.805208\pi\) | |||||||
\(420\) | 30.5662 | + | 27.6822i | 0.0727767 | + | 0.0659100i | ||||
\(421\) | −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 | ||||
\(423\) | −288.763 | + | 20.8128i | −0.682655 | + | 0.0492027i | ||||
\(424\) | 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 | ||||||||
\(429\) | 17.6548 | + | 490.533i | 0.0411534 | + | 1.14343i | ||||
\(430\) | −234.828 | + | 494.246i | −0.546111 | + | 1.14941i | ||||
\(431\) | 294.379 | − | 169.960i | 0.683013 | − | 0.394338i | −0.117976 | − | 0.993016i | \(-0.537641\pi\) |
0.800989 | + | 0.598678i | \(0.204307\pi\) | |||||||
\(432\) | 352.598 | + | 155.634i | 0.816200 | + | 0.360264i | ||||
\(433\) | − | 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 | ||||
\(438\) | −251.242 | + | 473.738i | −0.573612 | + | 1.08159i | ||||
\(439\) | −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 | ||||
\(441\) | −394.680 | + | 196.746i | −0.894966 | + | 0.446135i | ||||
\(442\) | 784.535i | 1.77497i | ||||||||
\(443\) | −280.029 | + | 485.025i | −0.632121 | + | 1.09487i | 0.354997 | + | 0.934868i | \(0.384482\pi\) |
−0.987117 | + | 0.159998i | \(0.948851\pi\) | |||||||
\(444\) | 0.692114 | − | 1.30504i | 0.00155881 | − | 0.00293928i | ||||
\(445\) | −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 | \(-0.854125\pi\) | ||
0.896814 | − | 0.442407i | \(-0.145875\pi\) | |||||||
\(450\) | −415.883 | + | 98.2764i | −0.924185 | + | 0.218392i | ||||
\(451\) | 116.315 | + | 201.463i | 0.257904 | + | 0.446702i | ||||
\(452\) | −19.5593 | − | 33.8778i | −0.0432729 | − | 0.0749508i | ||||
\(453\) | 28.3663 | + | 788.147i | 0.0626187 | + | 1.73984i | ||||
\(454\) | −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 | ||||
\(459\) | 531.014 | − | 388.413i | 1.15689 | − | 0.846215i | ||||
\(460\) | −0.111365 | − | 1.38822i | −0.000242098 | − | 0.00301788i | ||||
\(461\) | − | 780.964i | − | 1.69406i | −0.531542 | − | 0.847032i | \(-0.678387\pi\) | ||
0.531542 | − | 0.847032i | \(-0.321613\pi\) | |||||||
\(462\) | 374.712 | − | 88.2192i | 0.811066 | − | 0.190951i | ||||
\(463\) | − | 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 | ||||
\(465\) | −212.259 | + | 24.7386i | −0.456471 | + | 0.0532012i | ||||
\(466\) | −355.259 | − | 615.327i | −0.762359 | − | 1.32044i | ||||
\(467\) | 25.2777 | − | 43.7822i | 0.0541278 | − | 0.0937521i | −0.837692 | − | 0.546143i | \(-0.816095\pi\) |
0.891820 | + | 0.452391i | \(0.149429\pi\) | |||||||
\(468\) | 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 | ||||
\(471\) | 469.436 | − | 16.8955i | 0.996679 | − | 0.0358716i | ||||
\(472\) | −633.019 | + | 365.474i | −1.34114 | + | 0.774309i | ||||
\(473\) | −278.073 | − | 481.637i | −0.587892 | − | 1.01826i | ||||
\(474\) | 1.52173 | + | 42.2807i | 0.00321040 | + | 0.0891999i | ||||
\(475\) | −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 | \(-0.906836\pi\) |
−0.228870 | + | 0.973457i | \(0.573503\pi\) | |||||||
\(480\) | −93.2751 | + | 10.8711i | −0.194323 | + | 0.0226481i | ||||
\(481\) | −10.6268 | + | 18.4062i | −0.0220932 | + | 0.0382665i | ||||
\(482\) | −395.948 | −0.821469 | ||||||||
\(483\) | 14.2612 | + | 4.29268i | 0.0295263 | + | 0.00888754i | ||||
\(484\) | −10.9357 | −0.0225945 | ||||||||
\(485\) | 450.810 | − | 36.1646i | 0.929505 | − | 0.0745661i | ||||
\(486\) | 82.5711 | + | 454.078i | 0.169899 | + | 0.934317i | ||||
\(487\) | 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 | \(0.135703\pi\) | ||||
−0.910492 | + | 0.413526i | \(0.864297\pi\) | |||||||
\(492\) | 28.3799 | − | 1.02142i | 0.0576828 | − | 0.00207607i | ||||
\(493\) | 350.028 | − | 202.089i | 0.709996 | − | 0.409917i | ||||
\(494\) | −387.722 | + | 223.851i | −0.784863 | + | 0.453141i | ||||
\(495\) | 157.706 | − | 404.684i | 0.318599 | − | 0.817543i | ||||
\(496\) | 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 | ||||
\(501\) | −534.835 | − | 283.644i | −1.06753 | − | 0.566155i | ||||
\(502\) | −459.442 | − | 265.259i | −0.915223 | − | 0.528404i | ||||
\(503\) | 296.107 | 0.588682 | 0.294341 | − | 0.955701i | \(-0.404900\pi\) | ||||
0.294341 | + | 0.955701i | \(0.404900\pi\) | |||||||
\(504\) | 133.296 | − | 508.429i | 0.264476 | − | 1.00879i | ||||
\(505\) | 154.591 | + | 224.205i | 0.306121 | + | 0.443971i | ||||
\(506\) | −11.2589 | − | 6.50030i | −0.0222507 | − | 0.0128465i | ||||
\(507\) | −313.731 | − | 166.384i | −0.618800 | − | 0.328174i | ||||
\(508\) | −30.3524 | + | 17.5240i | −0.0597489 | + | 0.0344960i | ||||
\(509\) | −722.798 | − | 417.308i | −1.42004 | − | 0.819858i | −0.423735 | − | 0.905786i | \(-0.639281\pi\) |
−0.996301 | + | 0.0859284i | \(0.972614\pi\) | |||||||
\(510\) | 275.166 | − | 637.328i | 0.539541 | − | 1.24966i | ||||
\(511\) | 623.592 | + | 212.449i | 1.22034 | + | 0.415751i | ||||
\(512\) | 565.746 | 1.10497 | ||||||||
\(513\) | 343.470 | + | 151.605i | 0.669533 | + | 0.295526i | ||||
\(514\) | 153.229 | + | 265.400i | 0.298110 | + | 0.516342i | ||||
\(515\) | −234.868 | + | 494.330i | −0.456054 | + | 0.959864i | ||||
\(516\) | −67.8478 | + | 2.44192i | −0.131488 | + | 0.00473240i | ||||
\(517\) | − | 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 | −0.957885 | − | 0.287152i | \(-0.907292\pi\) |
−0.230262 | + | 0.973129i | \(0.573958\pi\) | |||||||
\(522\) | 20.3829 | + | 282.799i | 0.0390477 | + | 0.541760i | ||||
\(523\) | −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 | ||||||||
\(525\) | 200.240 | + | 485.313i | 0.381410 | + | 0.924406i | ||||
\(526\) | 58.9102 | 0.111997 | ||||||||
\(527\) | 173.570 | − | 300.632i | 0.329355 | − | 0.570460i | ||||
\(528\) | −193.656 | + | 365.154i | −0.366772 | + | 0.691580i | ||||
\(529\) | 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 | ||||||||
\(534\) | 515.004 | − | 18.5356i | 0.964427 | − | 0.0347108i | ||||
\(535\) | −359.502 | − | 170.808i | −0.671967 | − | 0.319267i | ||||
\(536\) | 718.912 | − | 415.064i | 1.34125 | − | 0.774373i | ||||
\(537\) | 94.0125 | − | 3.38361i | 0.175070 | − | 0.00630096i | ||||
\(538\) | − | 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 | 0.412570 | + | 0.910926i | \(0.364631\pi\) |
−0.995170 | + | 0.0981672i | \(0.968702\pi\) | |||||||
\(542\) | −243.251 | − | 421.323i | −0.448803 | − | 0.777349i | ||||
\(543\) | 332.092 | + | 176.121i | 0.611588 | + | 0.324349i | ||||
\(544\) | 76.2736 | − | 132.110i | 0.140209 | − | 0.242849i | ||||
\(545\) | 582.750 | − | 401.810i | 1.06927 | − | 0.737267i | ||||
\(546\) | −194.881 | + | 647.437i | −0.356925 | + | 1.18578i | ||||
\(547\) | 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 | ||||
\(549\) | 937.872 | − | 67.5976i | 1.70833 | − | 0.123129i | ||||
\(550\) | −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 | ||||||||
\(555\) | 15.0886 | − | 11.2253i | 0.0271866 | − | 0.0202258i | ||||
\(556\) | −1.15295 | − | 1.99696i | −0.00207365 | − | 0.00359166i | ||||
\(557\) | −217.246 | − | 376.281i | −0.390028 | − | 0.675549i | 0.602425 | − | 0.798176i | \(-0.294201\pi\) |
−0.992453 | + | 0.122627i | \(0.960868\pi\) | |||||||
\(558\) | 136.606 | + | 201.596i | 0.244814 | + | 0.361283i | ||||
\(559\) | 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 | 0.994262 | − | 0.106970i | \(-0.0341150\pi\) |
−0.589770 | + | 0.807571i | \(0.700782\pi\) | |||||||
\(564\) | −33.4841 | − | 17.7579i | −0.0593690 | − | 0.0314857i | ||||
\(565\) | −39.8235 | − | 496.421i | −0.0704840 | − | 0.878620i | ||||
\(566\) | 863.714i | 1.52600i | ||||||||
\(567\) | 534.703 | − | 188.632i | 0.943038 | − | 0.332684i | ||||
\(568\) | − | 423.425i | − | 0.745466i | ||||||
\(569\) | −374.954 | − | 216.480i | −0.658970 | − | 0.380457i | 0.132914 | − | 0.991128i | \(-0.457566\pi\) |
−0.791884 | + | 0.610671i | \(0.790900\pi\) | |||||||
\(570\) | 393.485 | − | 45.8602i | 0.690324 | − | 0.0804565i | ||||
\(571\) | −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 | ||||
\(576\) | 348.305 | + | 514.009i | 0.604696 | + | 0.892377i | ||||
\(577\) | 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 | ||||
\(579\) | −51.6959 | + | 1.86059i | −0.0892848 | + | 0.00321346i | ||||
\(580\) | −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 | ||||
\(585\) | 477.057 | + | 595.272i | 0.815481 | + | 1.01756i | ||||
\(586\) | −134.763 | + | 233.416i | −0.229971 | + | 0.398321i | ||||
\(587\) | 473.066 | 0.805905 | 0.402953 | − | 0.915221i | \(-0.367984\pi\) | ||||
0.402953 | + | 0.915221i | \(0.367984\pi\) | |||||||
\(588\) | −57.4615 | − | 5.59897i | −0.0977237 | − | 0.00952206i | ||||
\(589\) | 198.099 | 0.336332 | ||||||||
\(590\) | −829.329 | + | 66.5298i | −1.40564 | + | 0.112762i | ||||
\(591\) | 938.867 | + | 497.918i | 1.58861 | + | 0.842501i | ||||
\(592\) | −15.4992 | + | 8.94847i | −0.0261811 | + | 0.0151157i | ||||
\(593\) | −220.683 | + | 382.234i | −0.372146 | + | 0.644576i | −0.989895 | − | 0.141799i | \(-0.954711\pi\) |
0.617749 | + | 0.786375i | \(0.288045\pi\) | |||||||
\(594\) | −492.065 | + | 53.3141i | −0.828392 | + | 0.0897544i | ||||
\(595\) | −826.686 | − | 209.594i | −1.38939 | − | 0.352259i | ||||
\(596\) | − | 2.26008i | − | 0.00379207i | ||||||
\(597\) | 1.67333 | + | 46.4928i | 0.00280290 | + | 0.0778774i | ||||
\(598\) | 19.7749 | − | 11.4170i | 0.0330683 | − | 0.0190920i | ||||
\(599\) | 98.8142 | − | 57.0504i | 0.164965 | − | 0.0952427i | −0.415244 | − | 0.909710i | \(-0.636304\pi\) |
0.580210 | + | 0.814467i | \(0.302971\pi\) | |||||||
\(600\) | −592.466 | − | 201.296i | −0.987443 | − | 0.335494i | ||||
\(601\) | −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 | ||||
\(606\) | 145.405 | − | 274.173i | 0.239941 | − | 0.452430i | ||||
\(607\) | −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 | ||||||||
\(609\) | 339.060 | − | 79.8256i | 0.556749 | − | 0.131077i | ||||
\(610\) | 816.821 | − | 563.203i | 1.33905 | − | 0.923284i | ||||
\(611\) | 472.257 | + | 272.658i | 0.772925 | + | 0.446248i | ||||
\(612\) | 85.9071 | − | 6.19181i | 0.140371 | − | 0.0101173i | ||||
\(613\) | 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 | ||||
\(615\) | 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 | \(0.463640\pi\) | |||||||
\(618\) | 623.268 | − | 22.4321i | 1.00852 | − | 0.0362979i | ||||
\(619\) | 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 | ||||
\(621\) | −17.5179 | − | 7.73225i | −0.0282092 | − | 0.0124513i | ||||
\(622\) | 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 | ||||
\(627\) | −188.642 | + | 355.701i | −0.300865 | + | 0.567307i | ||||
\(628\) | 53.2572 | + | 30.7481i | 0.0848045 | + | 0.0489619i | ||||
\(629\) | 30.5499i | 0.0485690i | ||||||||
\(630\) | 385.395 | − | 457.603i | 0.611738 | − | 0.726354i | ||||
\(631\) | 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 | ||||
\(633\) | −943.039 | − | 500.130i | −1.48979 | − | 0.790095i | ||||
\(634\) | −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 | ||||||||
\(639\) | 378.130 | − | 256.230i | 0.591752 | − | 0.400985i | ||||
\(640\) | 478.661 | + | 227.423i | 0.747908 | + | 0.355348i | ||||
\(641\) | 115.942 | − | 66.9392i | 0.180877 | − | 0.104429i | −0.406828 | − | 0.913505i | \(-0.633365\pi\) |
0.587705 | + | 0.809076i | \(0.300032\pi\) | |||||||
\(642\) | 16.3138 | + | 453.273i | 0.0254109 | + | 0.706033i | ||||
\(643\) | 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 | 0.919254 | − | 0.393666i | \(-0.128793\pi\) |
−0.800551 | + | 0.599264i | \(0.795460\pi\) | |||||||
\(648\) | −250.473 | + | 627.655i | −0.386532 | + | 0.968603i | ||||
\(649\) | 422.801 | − | 732.313i | 0.651466 | − | 1.12837i | ||||
\(650\) | 752.324 | + | 286.186i | 1.15742 | + | 0.440287i | ||||
\(651\) | 217.917 | − | 204.981i | 0.334742 | − | 0.314872i | ||||
\(652\) | − | 1.17650i | − | 0.00180445i | ||||||
\(653\) | −122.460 | + | 212.107i | −0.187534 | + | 0.324819i | −0.944428 | − | 0.328720i | \(-0.893383\pi\) |
0.756893 | + | 0.653538i | \(0.226716\pi\) | |||||||
\(654\) | −712.626 | − | 377.933i | −1.08964 | − | 0.577879i | ||||
\(655\) | −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 | \(-0.804727\pi\) | ||
0.817655 | − | 0.575708i | \(-0.195273\pi\) | |||||||
\(660\) | 45.6200 | − | 33.9394i | 0.0691212 | − | 0.0514234i | ||||
\(661\) | −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 | ||||
\(663\) | −1238.41 | + | 44.5717i | −1.86789 | + | 0.0672273i | ||||
\(664\) | −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 | ||||
\(669\) | −176.746 | + | 333.269i | −0.264194 | + | 0.498161i | ||||
\(670\) | 941.859 | − | 75.5571i | 1.40576 | − | 0.112772i | ||||
\(671\) | 1008.39i | 1.50282i | ||||||||
\(672\) | 95.7613 | − | 90.0770i | 0.142502 | − | 0.134043i | ||||
\(673\) | 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 | ||||
\(675\) | −178.759 | − | 650.899i | −0.264829 | − | 0.964295i | ||||
\(676\) | −23.2454 | − | 40.2622i | −0.0343867 | − | 0.0595595i | ||||
\(677\) | −68.0959 | + | 117.946i | −0.100585 | + | 0.174218i | −0.911926 | − | 0.410355i | \(-0.865405\pi\) |
0.811341 | + | 0.584573i | \(0.198738\pi\) | |||||||
\(678\) | −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 | ||||
\(681\) | −42.2567 | − | 1174.09i | −0.0620510 | − | 1.72407i | ||||
\(682\) | −226.167 | + | 130.577i | −0.331623 | + | 0.191462i | ||||
\(683\) | −607.226 | − | 1051.75i | −0.889057 | − | 1.53989i | −0.840992 | − | 0.541047i | \(-0.818028\pi\) |
−0.0480644 | − | 0.998844i | \(-0.515305\pi\) | |||||||
\(684\) | 27.5719 | + | 40.6892i | 0.0403098 | + | 0.0594871i | ||||
\(685\) | −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 | ||||
\(690\) | −20.0688 | + | 2.33899i | −0.0290852 | + | 0.00338984i | ||||
\(691\) | −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 | ||||||||
\(693\) | 160.545 | + | 586.481i | 0.231666 | + | 0.846293i | ||||
\(694\) | −271.116 | −0.390657 | ||||||||
\(695\) | −2.34744 | − | 29.2621i | −0.00337761 | − | 0.0421037i | ||||
\(696\) | −194.515 | + | 366.775i | −0.279475 | + | 0.526975i | ||||
\(697\) | −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 | \(0.289409\pi\) | ||||
−0.614373 | + | 0.789016i | \(0.710591\pi\) | |||||||
\(702\) | 351.032 | − | 795.286i | 0.500046 | − | 1.13289i | ||||
\(703\) | −15.0980 | + | 8.71681i | −0.0214765 | + | 0.0123994i | ||||
\(704\) | −576.657 | + | 332.933i | −0.819115 | + | 0.472916i | ||||
\(705\) | −288.013 | − | 387.136i | −0.408530 | − | 0.549129i | ||||
\(706\) | 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 | ||||
\(711\) | −66.6548 | + | 4.80418i | −0.0937480 | + | 0.00675694i | ||||
\(712\) | 653.488 | + | 377.291i | 0.917820 | + | 0.529903i | ||||
\(713\) | −10.1036 | −0.0141705 | ||||||||
\(714\) | 222.720 | + | 946.005i | 0.311933 | + | 1.32494i | ||||
\(715\) | −673.504 | + | 464.386i | −0.941964 | + | 0.649491i | ||||
\(716\) | 10.6657 | + | 6.15782i | 0.0148962 | + | 0.00860031i | ||||
\(717\) | −115.534 | + | 217.849i | −0.161135 | + | 0.303834i | ||||
\(718\) | 149.133 | − | 86.1018i | 0.207706 | − | 0.119919i | ||||
\(719\) | 679.759 | + | 392.459i | 0.945423 | + | 0.545840i | 0.891656 | − | 0.452714i | \(-0.149544\pi\) |
0.0537665 | + | 0.998554i | \(0.482877\pi\) | |||||||
\(720\) | 97.2645 | + | 634.958i | 0.135090 | + | 0.881886i | ||||
\(721\) | −148.649 | − | 751.646i | −0.206171 | − | 1.04251i | ||||
\(722\) | 318.404 | 0.441002 | ||||||||
\(723\) | −22.4950 | − | 625.015i | −0.0311134 | − | 0.864474i | ||||
\(724\) | 24.6058 | + | 42.6185i | 0.0339859 | + | 0.0588653i | ||||
\(725\) | −66.1067 | − | 409.376i | −0.0911817 | − | 0.564656i | ||||
\(726\) | 5.70638 | + | 158.550i | 0.00786002 | + | 0.218388i | ||||
\(727\) | − | 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 | ||||
\(732\) | 108.753 | + | 57.6758i | 0.148569 | + | 0.0787921i | ||||
\(733\) | −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 | ||||||
\(735\) | −630.158 | − | 378.319i | −0.857358 | − | 0.514720i | ||||
\(736\) | −4.43992 | −0.00603249 | ||||||||
\(737\) | −480.170 | + | 831.679i | −0.651520 | + | 1.12847i | ||||
\(738\) | −29.6178 | − | 410.928i | −0.0401326 | − | 0.556812i | ||||
\(739\) | −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 | \(-0.516501\pi\) | ||||
−0.0518171 | + | 0.998657i | \(0.516501\pi\) | |||||||
\(744\) | 12.8252 | + | 356.344i | 0.0172382 | + | 0.478957i | ||||
\(745\) | 12.3478 | − | 25.9885i | 0.0165742 | − | 0.0348840i | ||||
\(746\) | 66.8368 | − | 38.5883i | 0.0895936 | − | 0.0517269i | ||||
\(747\) | −351.581 | − | 518.844i | −0.470657 | − | 0.694570i | ||||
\(748\) | 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 | 0.467154 | + | 0.884176i | \(0.345279\pi\) |
−0.999296 | + | 0.0375212i | \(0.988054\pi\) | |||||||
\(752\) | 229.595 | + | 397.671i | 0.305313 | + | 0.528818i | ||||
\(753\) | 392.616 | − | 740.311i | 0.521402 | − | 0.983149i | ||||
\(754\) | 267.026 | − | 462.503i | 0.354146 | − | 0.613399i | ||||
\(755\) | −1082.13 | + | 746.135i | −1.43328 | + | 0.988259i | ||||
\(756\) | 72.4329 | + | 16.2298i | 0.0958108 | + | 0.0214681i | ||||
\(757\) | 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 | ||||
\(759\) | 9.62125 | − | 18.1417i | 0.0126762 | − | 0.0239021i | ||||
\(760\) | 523.930 | + | 248.931i | 0.689381 | + | 0.327541i | ||||
\(761\) | −654.465 | − | 377.855i | −0.860006 | − | 0.496525i | 0.00400819 | − | 0.999992i | \(-0.498724\pi\) |
−0.864014 | + | 0.503467i | \(0.832057\pi\) | |||||||
\(762\) | 269.906 | + | 430.914i | 0.354207 | + | 0.565504i | ||||
\(763\) | −319.578 | + | 938.044i | −0.418845 | + | 1.22942i | ||||
\(764\) | 19.0676i | 0.0249576i | ||||||||
\(765\) | 1021.67 | + | 398.148i | 1.33552 | + | 0.520455i | ||||
\(766\) | −238.479 | − | 413.058i | −0.311331 | − | 0.539241i | ||||
\(767\) | 742.600 | + | 1286.22i | 0.968188 | + | 1.67695i | ||||
\(768\) | 8.05569 | + | 223.824i | 0.0104892 | + | 0.291438i | ||||
\(769\) | −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 | \(0.0595705\pi\) |
−0.330141 | + | 0.943932i | \(0.607096\pi\) | |||||||
\(774\) | 70.8073 | + | 982.404i | 0.0914823 | + | 1.26926i | ||||
\(775\) | −224.974 | − | 276.110i | −0.290288 | − | 0.356271i | ||||
\(776\) | − | 754.642i | − | 0.972477i | ||||||
\(777\) | −7.58870 | + | 25.2113i | −0.00976667 | + | 0.0324470i | ||||
\(778\) | 52.9876i | 0.0681075i | ||||||||
\(779\) | −290.247 | − | 167.574i | −0.372590 | − | 0.215115i | ||||
\(780\) | 11.5612 | + | 99.1966i | 0.0148221 | + | 0.127175i | ||||
\(781\) | 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 | ||||
\(786\) | 637.564 | − | 22.9466i | 0.811150 | − | 0.0291942i | ||||
\(787\) | 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 | ||||
\(789\) | 3.34686 | + | 92.9913i | 0.00424190 | + | 0.117860i | ||||
\(790\) | −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 | ||||
\(795\) | −258.614 | + | 30.1412i | −0.325301 | + | 0.0379134i | ||||
\(796\) | −3.04528 | + | 5.27458i | −0.00382573 | + | 0.00662636i | ||||
\(797\) | 564.493 | 0.708272 | 0.354136 | − | 0.935194i | \(-0.384775\pi\) | ||||
0.354136 | + | 0.935194i | \(0.384775\pi\) | |||||||
\(798\) | −403.973 | + | 379.993i | −0.506232 | + | 0.476182i | ||||
\(799\) | 783.835 | 0.981020 | ||||||||
\(800\) | −98.8623 | − | 121.334i | −0.123578 | − | 0.151667i | ||||
\(801\) | 58.5178 | + | 811.894i | 0.0730559 | + | 1.01360i | ||||
\(802\) | −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 | ||||||
\(807\) | 941.294 | − | 33.8782i | 1.16641 | − | 0.0419804i | ||||
\(808\) | 393.539 | − | 227.210i | 0.487054 | − | 0.281201i | ||||
\(809\) | 1217.32 | − | 702.823i | 1.50473 | − | 0.868755i | 0.504743 | − | 0.863270i | \(-0.331587\pi\) |
0.999985 | − | 0.00548514i | \(-0.00174598\pi\) | |||||||
\(810\) | −564.103 | + | 522.942i | −0.696423 | + | 0.645607i | ||||
\(811\) | 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 | ||||
\(816\) | −921.875 | − | 488.906i | −1.12975 | − | 0.599150i | ||||
\(817\) | 693.894 | + | 400.620i | 0.849319 | + | 0.490354i | ||||
\(818\) | 799.396 | 0.977257 | ||||||||
\(819\) | −1033.07 | − | 270.842i | −1.26138 | − | 0.330699i | ||||
\(820\) | 26.8672 | + | 38.9658i | 0.0327648 | + | 0.0475192i | ||||
\(821\) | −223.836 | − | 129.232i | −0.272638 | − | 0.157408i | 0.357448 | − | 0.933933i | \(-0.383647\pi\) |
−0.630086 | + | 0.776526i | \(0.716980\pi\) | |||||||
\(822\) | 445.650 | + | 236.345i | 0.542153 | + | 0.287525i | ||||
\(823\) | 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 | ||||
\(825\) | 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 | \(0.713159\pi\) | |||||||
\(828\) | −1.40624 | − | 2.07525i | −0.00169836 | − | 0.00250635i | ||||
\(829\) | −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 | ||||
\(831\) | −980.321 | + | 35.2828i | −1.17969 | + | 0.0424583i | ||||
\(832\) | − | 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 | ||||
\(837\) | −310.464 | + | 227.090i | −0.370925 | + | 0.271314i | ||||
\(838\) | 791.829 | + | 457.163i | 0.944904 | + | 0.545540i | ||||
\(839\) | 454.385i | 0.541579i | 0.962639 | + | 0.270790i | \(0.0872848\pi\) | ||||
−0.962639 | + | 0.270790i | \(0.912715\pi\) | |||||||
\(840\) | 833.922 | − | 268.297i | 0.992765 | − | 0.319402i | ||||
\(841\) | 565.866 | 0.672849 | ||||||||
\(842\) | −119.063 | + | 206.223i | −0.141405 | + | 0.244920i | ||||
\(843\) | 570.330 | − | 1075.41i | 0.676547 | − | 1.27569i | ||||
\(844\) | −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 | ||||||||
\(849\) | −1363.40 | + | 49.0701i | −1.60588 | + | 0.0577975i | ||||
\(850\) | 1142.19 | − | 184.443i | 1.34375 | − | 0.216992i | ||||
\(851\) | 0.770036 | − | 0.444580i | 0.000904860 | − | 0.000522421i | ||||
\(852\) | 59.7590 | − | 2.15079i | 0.0701397 | − | 0.00252440i | ||||
\(853\) | − | 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 | 0.962288 | − | 0.272032i | \(-0.0876955\pi\) |
−0.716730 | + | 0.697350i | \(0.754362\pi\) | |||||||
\(858\) | 823.606 | + | 436.790i | 0.959913 | + | 0.509079i | ||||
\(859\) | −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 | ||||
\(861\) | −492.679 | + | 115.992i | −0.572218 | + | 0.134718i | ||||
\(862\) | − | 645.601i | − | 0.748957i | ||||||
\(863\) | −125.612 | + | 217.566i | −0.145553 | + | 0.252105i | −0.929579 | − | 0.368623i | \(-0.879829\pi\) |
0.784026 | + | 0.620728i | \(0.213163\pi\) | |||||||
\(864\) | −136.430 | + | 99.7923i | −0.157905 | + | 0.115500i | ||||
\(865\) | 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 | ||||||
\(870\) | −379.140 | + | 282.065i | −0.435793 | + | 0.324212i | ||||
\(871\) | −843.362 | − | 1460.75i | −0.968269 | − | 1.67709i | ||||
\(872\) | −590.561 | − | 1022.88i | −0.677249 | − | 1.17303i | ||||
\(873\) | 673.916 | − | 456.661i | 0.771954 | − | 0.523094i | ||||
\(874\) | 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 | ||||
\(879\) | −376.109 | − | 199.466i | −0.427883 | − | 0.226923i | ||||
\(880\) | −686.674 | + | 55.0859i | −0.780312 | + | 0.0625976i | ||||
\(881\) | 290.875i | 0.330164i | 0.986280 | + | 0.165082i | \(0.0527889\pi\) | ||||
−0.986280 | + | 0.165082i | \(0.947211\pi\) | |||||||
\(882\) | −51.1916 | + | 836.015i | −0.0580403 | + | 0.947863i | ||||
\(883\) | 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 | ||||
\(885\) | −152.136 | − | 1305.34i | −0.171905 | − | 1.47496i | ||||
\(886\) | 531.854 | + | 921.197i | 0.600286 | + | 1.03973i | ||||
\(887\) | 4.69270 | − | 8.12799i | 0.00529053 | − | 0.00916347i | −0.863368 | − | 0.504575i | \(-0.831649\pi\) |
0.868659 | + | 0.495411i | \(0.164983\pi\) | |||||||
\(888\) | −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 | ||||
\(891\) | −112.113 | − | 773.709i | −0.125829 | − | 0.868360i | ||||
\(892\) | −42.7696 | + | 24.6930i | −0.0479480 | + | 0.0276828i | ||||
\(893\) | 223.652 | + | 387.376i | 0.250450 | + | 0.433792i | ||||
\(894\) | −32.7673 | + | 1.17933i | −0.0366524 | + | 0.00131916i | ||||
\(895\) | 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 | ||||
\(900\) | 25.4000 | − | 84.6387i | 0.0282222 | − | 0.0940430i | ||||
\(901\) | 211.476 | − | 366.287i | 0.234712 | − | 0.406534i | ||||
\(902\) | 441.827 | 0.489831 | ||||||||
\(903\) | 1177.85 | − | 277.303i | 1.30437 | − | 0.307091i | ||||
\(904\) | −830.993 | −0.919240 | ||||||||
\(905\) | 50.0983 | + | 624.501i | 0.0553572 | + | 0.690056i | ||||
\(906\) | 1323.30 | + | 701.797i | 1.46060 | + | 0.774611i | ||||
\(907\) | 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 | \(-0.545865\pi\) | ||
0.143590 | − | 0.989637i | \(-0.454135\pi\) | |||||||
\(912\) | −21.4182 | − | 595.096i | −0.0234848 | − | 0.652518i | ||||
\(913\) | 582.081 | − | 336.064i | 0.637547 | − | 0.368088i | ||||
\(914\) | 1156.49 | − | 667.700i | 1.26531 | − | 0.730525i | ||||
\(915\) | 935.437 | + | 1257.38i | 1.02234 | + | 1.37418i | ||||
\(916\) | 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 | ||||
\(921\) | −264.001 | + | 497.796i | −0.286646 | + | 0.540495i | ||||
\(922\) | −1284.55 | − | 741.633i | −1.39322 | − | 0.804374i | ||||
\(923\) | −860.350 | −0.932124 | ||||||||
\(924\) | −22.9443 | + | 76.2258i | −0.0248315 | + | 0.0824955i | ||||
\(925\) | 29.2956 | + | 11.1441i | 0.0316709 | + | 0.0120477i | ||||
\(926\) | −1448.78 | − | 836.454i | −1.56456 | − | 0.903298i | ||||
\(927\) | 70.8193 | + | 982.571i | 0.0763963 | + | 1.05995i | ||||
\(928\) | −89.9304 | + | 51.9214i | −0.0969078 | + | 0.0559497i | ||||
\(929\) | 1287.60 | + | 743.395i | 1.38600 | + | 0.800209i | 0.992862 | − | 0.119269i | \(-0.0380550\pi\) |
0.393141 | + | 0.919478i | \(0.371388\pi\) | |||||||
\(930\) | −160.879 | + | 372.621i | −0.172988 | + | 0.400668i | ||||
\(931\) | 539.639 | + | 415.976i | 0.579634 | + | 0.446805i | ||||
\(932\) | 146.926 | 0.157646 | ||||||||
\(933\) | −809.509 | + | 29.1351i | −0.867641 | + | 0.0312273i | ||||
\(934\) | −48.0093 | − | 83.1546i | −0.0514018 | − | 0.0890306i | ||||
\(935\) | −504.640 | + | 1062.12i | −0.539722 | + | 1.13596i | ||||
\(936\) | 1053.75 | − | 714.045i | 1.12580 | − | 0.762869i | ||||
\(937\) | 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 | −0.961216 | − | 0.275798i | \(-0.911058\pi\) |
−0.241759 | + | 0.970336i | \(0.577725\pi\) | |||||||
\(942\) | 418.004 | − | 788.184i | 0.443741 | − | 0.836713i | ||||
\(943\) | 14.8034 | + | 8.54673i | 0.0156982 | + | 0.00906335i | ||||
\(944\) | 1250.64i | 1.32483i | ||||||||
\(945\) | 744.233 | + | 582.359i | 0.787549 | + | 0.616253i | ||||
\(946\) | −1056.28 | −1.11657 | ||||||||
\(947\) | 493.680 | − | 855.078i | 0.521309 | − | 0.902934i | −0.478384 | − | 0.878151i | \(-0.658777\pi\) |
0.999693 | − | 0.0247830i | \(-0.00788949\pi\) | |||||||
\(948\) | −7.72909 | − | 4.09904i | −0.00815305 | − | 0.00432388i | ||||
\(949\) | 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 | \(-0.476264\pi\) | ||||
0.0745012 | + | 0.997221i | \(0.476264\pi\) | |||||||
\(954\) | 166.440 | + | 245.622i | 0.174465 | + | 0.257466i | ||||
\(955\) | −104.175 | + | 219.258i | −0.109083 | + | 0.229589i | ||||
\(956\) | −27.9573 | + | 16.1411i | −0.0292440 | + | 0.0168840i | ||||
\(957\) | −17.2748 | − | 479.973i | −0.0180510 | − | 0.501539i | ||||
\(958\) | 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 | ||||
\(963\) | −714.577 | + | 51.5035i | −0.742032 | + | 0.0534824i | ||||
\(964\) | 40.9385 | − | 70.9075i | 0.0424673 | − | 0.0735555i | ||||
\(965\) | −48.9403 | − | 70.9787i | −0.0507153 | − | 0.0735531i | ||||
\(966\) | 20.6037 | − | 19.3807i | 0.0213289 | − | 0.0200628i | ||||
\(967\) | − | 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 | ||||
\(969\) | −898.010 | − | 476.250i | −0.926739 | − | 0.491486i | ||||
\(970\) | 368.622 | − | 775.846i | 0.380023 | − | 0.799841i | ||||
\(971\) | 199.574 | + | 115.224i | 0.205534 | + | 0.118665i | 0.599234 | − | 0.800574i | \(-0.295472\pi\) |
−0.393700 | + | 0.919239i | \(0.628805\pi\) | |||||||
\(972\) | −89.8549 | − | 32.1617i | −0.0924433 | − | 0.0330881i | ||||
\(973\) | 27.0640 | + | 30.9294i | 0.0278150 | + | 0.0317876i | ||||
\(974\) | − | 1538.23i | − | 1.57929i | ||||||
\(975\) | −409.011 | + | 1203.82i | −0.419498 | + | 1.23469i | ||||
\(976\) | −745.702 | − | 1291.59i | −0.764038 | − | 1.32335i | ||||
\(977\) | −592.145 | − | 1025.62i | −0.606085 | − | 1.04977i | −0.991879 | − | 0.127185i | \(-0.959406\pi\) |
0.385795 | − | 0.922585i | \(-0.373927\pi\) | |||||||
\(978\) | −17.0572 | + | 0.613908i | −0.0174409 | + | 0.000627718i | ||||
\(979\) | −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 | 0.980501 | − | 0.196515i | \(-0.0629623\pi\) |
−0.660437 | + | 0.750881i | \(0.729629\pi\) | |||||||
\(984\) | 282.644 | − | 532.950i | 0.287240 | − | 0.541616i | ||||
\(985\) | 141.634 | + | 1765.54i | 0.143791 | + | 1.79243i | ||||
\(986\) | − | 767.646i | − | 0.778545i | ||||||
\(987\) | 646.860 | + | 194.707i | 0.655380 | + | 0.197272i | ||||
\(988\) | − | 92.5791i | − | 0.0937036i | ||||||
\(989\) | −35.3904 | − | 20.4327i | −0.0357840 | − | 0.0206599i | ||||
\(990\) | −515.869 | − | 643.702i | −0.521080 | − | 0.650204i | ||||
\(991\) | −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 | ||||
\(996\) | −2.95117 | − | 81.9973i | −0.00296303 | − | 0.0823266i | ||||
\(997\) | −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 | ||||
\(999\) | 13.6693 | − | 30.9686i | 0.0136829 | − | 0.0309996i |
(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.44.16 | yes | 40 | |
3.2 | odd | 2 | inner | 105.3.o.b.44.6 | yes | 40 | |
5.4 | even | 2 | inner | 105.3.o.b.44.5 | ✓ | 40 | |
7.4 | even | 3 | inner | 105.3.o.b.74.15 | yes | 40 | |
15.14 | odd | 2 | inner | 105.3.o.b.44.15 | yes | 40 | |
21.11 | odd | 6 | inner | 105.3.o.b.74.5 | yes | 40 | |
35.4 | even | 6 | inner | 105.3.o.b.74.6 | yes | 40 | |
105.74 | odd | 6 | inner | 105.3.o.b.74.16 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.o.b.44.5 | ✓ | 40 | 5.4 | even | 2 | inner | |
105.3.o.b.44.6 | yes | 40 | 3.2 | odd | 2 | inner | |
105.3.o.b.44.15 | yes | 40 | 15.14 | odd | 2 | inner | |
105.3.o.b.44.16 | yes | 40 | 1.1 | even | 1 | trivial | |
105.3.o.b.74.5 | yes | 40 | 21.11 | odd | 6 | inner | |
105.3.o.b.74.6 | yes | 40 | 35.4 | even | 6 | inner | |
105.3.o.b.74.15 | yes | 40 | 7.4 | even | 3 | inner | |
105.3.o.b.74.16 | yes | 40 | 105.74 | odd | 6 | inner |