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 | 44.4 | ||
Character | \(\chi\) | \(=\) | 105.44 |
Dual form | 105.3.o.b.74.4 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.60486 | + | 2.77971i | −0.802432 | + | 1.38985i | 0.115579 | + | 0.993298i | \(0.463128\pi\) |
−0.918011 | + | 0.396555i | \(0.870206\pi\) | |||||||
\(3\) | 0.199928 | − | 2.99333i | 0.0666427 | − | 0.997777i | ||||
\(4\) | −3.15118 | − | 5.45800i | −0.787795 | − | 1.36450i | ||||
\(5\) | 1.12712 | + | 4.87130i | 0.225423 | + | 0.974261i | ||||
\(6\) | 7.99972 | + | 5.35963i | 1.33329 | + | 0.893272i | ||||
\(7\) | −6.02754 | + | 3.55932i | −0.861077 | + | 0.508474i | ||||
\(8\) | 7.38994 | 0.923743 | ||||||||
\(9\) | −8.92006 | − | 1.19690i | −0.991117 | − | 0.132989i | ||||
\(10\) | −15.3497 | − | 4.68473i | −1.53497 | − | 0.468473i | ||||
\(11\) | −10.5523 | + | 6.09236i | −0.959298 | + | 0.553851i | −0.895957 | − | 0.444141i | \(-0.853509\pi\) |
−0.0633411 | + | 0.997992i | \(0.520176\pi\) | |||||||
\(12\) | −16.9676 | + | 8.34131i | −1.41397 | + | 0.695109i | ||||
\(13\) | 8.47270i | 0.651746i | 0.945414 | + | 0.325873i | \(0.105658\pi\) | ||||
−0.945414 | + | 0.325873i | \(0.894342\pi\) | |||||||
\(14\) | −0.220467 | − | 22.4670i | −0.0157477 | − | 1.60479i | ||||
\(15\) | 14.8068 | − | 2.39992i | 0.987118 | − | 0.159995i | ||||
\(16\) | 0.744857 | − | 1.29013i | 0.0465536 | − | 0.0806332i | ||||
\(17\) | −5.29476 | − | 9.17080i | −0.311457 | − | 0.539459i | 0.667221 | − | 0.744859i | \(-0.267484\pi\) |
−0.978678 | + | 0.205401i | \(0.934150\pi\) | |||||||
\(18\) | 17.6425 | − | 22.8743i | 0.980140 | − | 1.27079i | ||||
\(19\) | −10.0823 | + | 17.4631i | −0.530649 | + | 0.919111i | 0.468711 | + | 0.883351i | \(0.344718\pi\) |
−0.999360 | + | 0.0357599i | \(0.988615\pi\) | |||||||
\(20\) | 23.0359 | − | 21.5022i | 1.15179 | − | 1.07511i | ||||
\(21\) | 9.44914 | + | 18.7540i | 0.449959 | + | 0.893049i | ||||
\(22\) | − | 39.1096i | − | 1.77771i | ||||||
\(23\) | 15.2706 | − | 26.4494i | 0.663939 | − | 1.14998i | −0.315633 | − | 0.948881i | \(-0.602217\pi\) |
0.979572 | − | 0.201094i | \(-0.0644497\pi\) | |||||||
\(24\) | 1.47746 | − | 22.1205i | 0.0615607 | − | 0.921690i | ||||
\(25\) | −22.4592 | + | 10.9810i | −0.898369 | + | 0.439242i | ||||
\(26\) | −23.5516 | − | 13.5975i | −0.905832 | − | 0.522982i | ||||
\(27\) | −5.36609 | + | 26.4614i | −0.198744 | + | 0.980051i | ||||
\(28\) | 38.4206 | + | 21.6823i | 1.37217 | + | 0.774368i | ||||
\(29\) | 42.8910i | 1.47900i | 0.673157 | + | 0.739499i | \(0.264938\pi\) | ||||
−0.673157 | + | 0.739499i | \(0.735062\pi\) | |||||||
\(30\) | −17.0918 | + | 45.0100i | −0.569726 | + | 1.50033i | ||||
\(31\) | −6.11033 | − | 10.5834i | −0.197107 | − | 0.341400i | 0.750482 | − | 0.660891i | \(-0.229821\pi\) |
−0.947589 | + | 0.319491i | \(0.896488\pi\) | |||||||
\(32\) | 17.1707 | + | 29.7405i | 0.536584 | + | 0.929390i | ||||
\(33\) | 16.1268 | + | 32.8045i | 0.488689 | + | 0.994076i | ||||
\(34\) | 33.9895 | 0.999691 | ||||||||
\(35\) | −24.1323 | − | 25.3502i | −0.689493 | − | 0.724292i | ||||
\(36\) | 21.5760 | + | 52.4573i | 0.599333 | + | 1.45715i | ||||
\(37\) | 28.8063 | + | 16.6313i | 0.778550 | + | 0.449496i | 0.835916 | − | 0.548857i | \(-0.184937\pi\) |
−0.0573663 | + | 0.998353i | \(0.518270\pi\) | |||||||
\(38\) | −32.3616 | − | 56.0519i | −0.851620 | − | 1.47505i | ||||
\(39\) | 25.3616 | + | 1.69393i | 0.650297 | + | 0.0434341i | ||||
\(40\) | 8.32932 | + | 35.9987i | 0.208233 | + | 0.899967i | ||||
\(41\) | 6.40934i | 0.156325i | 0.996941 | + | 0.0781627i | \(0.0249054\pi\) | ||||
−0.996941 | + | 0.0781627i | \(0.975095\pi\) | |||||||
\(42\) | −67.2953 | − | 3.83186i | −1.60227 | − | 0.0912347i | ||||
\(43\) | − | 20.0231i | − | 0.465653i | −0.972518 | − | 0.232827i | \(-0.925203\pi\) | ||
0.972518 | − | 0.232827i | \(-0.0747975\pi\) | |||||||
\(44\) | 66.5042 | + | 38.3962i | 1.51146 | + | 0.872642i | ||||
\(45\) | −4.22346 | − | 44.8014i | −0.0938546 | − | 0.995586i | ||||
\(46\) | 49.0144 | + | 84.8955i | 1.06553 | + | 1.84555i | ||||
\(47\) | 11.8740 | − | 20.5664i | 0.252639 | − | 0.437583i | −0.711613 | − | 0.702572i | \(-0.752035\pi\) |
0.964251 | + | 0.264989i | \(0.0853683\pi\) | |||||||
\(48\) | −3.71287 | − | 2.48754i | −0.0773514 | − | 0.0518237i | ||||
\(49\) | 23.6625 | − | 42.9079i | 0.482909 | − | 0.875671i | ||||
\(50\) | 5.51992 | − | 80.0531i | 0.110398 | − | 1.60106i | ||||
\(51\) | −28.5098 | + | 14.0155i | −0.559016 | + | 0.274813i | ||||
\(52\) | 46.2440 | − | 26.6990i | 0.889308 | − | 0.513442i | ||||
\(53\) | 43.9372 | + | 76.1014i | 0.829003 | + | 1.43588i | 0.898821 | + | 0.438316i | \(0.144425\pi\) |
−0.0698177 | + | 0.997560i | \(0.522242\pi\) | |||||||
\(54\) | −64.9430 | − | 57.3831i | −1.20265 | − | 1.06265i | ||||
\(55\) | −41.5714 | − | 44.5366i | −0.755843 | − | 0.809756i | ||||
\(56\) | −44.5432 | + | 26.3032i | −0.795414 | + | 0.469699i | ||||
\(57\) | 50.2571 | + | 33.6711i | 0.881704 | + | 0.590722i | ||||
\(58\) | −119.224 | − | 68.8342i | −2.05559 | − | 1.18680i | ||||
\(59\) | 41.9905 | − | 24.2432i | 0.711703 | − | 0.410902i | −0.0999885 | − | 0.994989i | \(-0.531881\pi\) |
0.811691 | + | 0.584087i | \(0.198547\pi\) | |||||||
\(60\) | −59.7575 | − | 73.2528i | −0.995959 | − | 1.22088i | ||||
\(61\) | 10.4973 | − | 18.1819i | 0.172087 | − | 0.298063i | −0.767062 | − | 0.641573i | \(-0.778282\pi\) |
0.939149 | + | 0.343509i | \(0.111616\pi\) | |||||||
\(62\) | 39.2250 | 0.632662 | ||||||||
\(63\) | 58.0262 | − | 24.5349i | 0.921050 | − | 0.389443i | ||||
\(64\) | −104.268 | −1.62918 | ||||||||
\(65\) | −41.2731 | + | 9.54971i | −0.634971 | + | 0.146919i | ||||
\(66\) | −117.068 | − | 7.81912i | −1.77376 | − | 0.118471i | ||||
\(67\) | 19.6174 | − | 11.3261i | 0.292798 | − | 0.169047i | −0.346405 | − | 0.938085i | \(-0.612598\pi\) |
0.639203 | + | 0.769038i | \(0.279264\pi\) | |||||||
\(68\) | −33.3695 | + | 57.7976i | −0.490728 | + | 0.849965i | ||||
\(69\) | −76.1189 | − | 50.9979i | −1.10317 | − | 0.739100i | ||||
\(70\) | 109.195 | − | 26.3969i | 1.55993 | − | 0.377098i | ||||
\(71\) | 2.44145i | 0.0343867i | 0.999852 | + | 0.0171933i | \(0.00547308\pi\) | ||||
−0.999852 | + | 0.0171933i | \(0.994527\pi\) | |||||||
\(72\) | −65.9187 | − | 8.84504i | −0.915538 | − | 0.122848i | ||||
\(73\) | −76.5611 | + | 44.2026i | −1.04878 | + | 0.605515i | −0.922308 | − | 0.386455i | \(-0.873699\pi\) |
−0.126474 | + | 0.991970i | \(0.540366\pi\) | |||||||
\(74\) | −92.4605 | + | 53.3821i | −1.24947 | + | 0.721380i | ||||
\(75\) | 28.3797 | + | 69.4233i | 0.378396 | + | 0.925644i | ||||
\(76\) | 127.085 | 1.67217 | ||||||||
\(77\) | 41.9197 | − | 74.2809i | 0.544411 | − | 0.964686i | ||||
\(78\) | −45.4106 | + | 67.7793i | −0.582187 | + | 0.868965i | ||||
\(79\) | −3.20270 | + | 5.54725i | −0.0405406 | + | 0.0702183i | −0.885584 | − | 0.464480i | \(-0.846241\pi\) |
0.845043 | + | 0.534698i | \(0.179575\pi\) | |||||||
\(80\) | 7.12416 | + | 2.17430i | 0.0890520 | + | 0.0271788i | ||||
\(81\) | 78.1349 | + | 21.3529i | 0.964628 | + | 0.263616i | ||||
\(82\) | −17.8161 | − | 10.2861i | −0.217269 | − | 0.125440i | ||||
\(83\) | −103.557 | −1.24768 | −0.623839 | − | 0.781553i | \(-0.714428\pi\) | ||||
−0.623839 | + | 0.781553i | \(0.714428\pi\) | |||||||
\(84\) | 72.5836 | − | 110.671i | 0.864091 | − | 1.31751i | ||||
\(85\) | 38.7059 | − | 36.1289i | 0.455364 | − | 0.425046i | ||||
\(86\) | 55.6583 | + | 32.1344i | 0.647190 | + | 0.373655i | ||||
\(87\) | 128.387 | + | 8.57511i | 1.47571 | + | 0.0985645i | ||||
\(88\) | −77.9808 | + | 45.0222i | −0.886145 | + | 0.511616i | ||||
\(89\) | 54.2968 | + | 31.3483i | 0.610077 | + | 0.352228i | 0.772995 | − | 0.634412i | \(-0.218758\pi\) |
−0.162919 | + | 0.986639i | \(0.552091\pi\) | |||||||
\(90\) | 131.313 | + | 60.1601i | 1.45903 | + | 0.668446i | ||||
\(91\) | −30.1570 | − | 51.0696i | −0.331396 | − | 0.561204i | ||||
\(92\) | −192.481 | −2.09219 | ||||||||
\(93\) | −32.9013 | + | 16.1743i | −0.353777 | + | 0.173917i | ||||
\(94\) | 38.1124 | + | 66.0126i | 0.405451 | + | 0.702262i | ||||
\(95\) | −96.4321 | − | 29.4312i | −1.01507 | − | 0.309802i | ||||
\(96\) | 92.4560 | − | 45.4516i | 0.963084 | − | 0.473454i | ||||
\(97\) | 140.539i | 1.44886i | 0.689348 | + | 0.724430i | \(0.257897\pi\) | ||||
−0.689348 | + | 0.724430i | \(0.742103\pi\) | |||||||
\(98\) | 81.2961 | + | 134.636i | 0.829552 | + | 1.37384i | ||||
\(99\) | 101.419 | − | 41.7142i | 1.02443 | − | 0.421355i | ||||
\(100\) | 130.708 | + | 87.9792i | 1.30708 | + | 0.879792i | ||||
\(101\) | −132.859 | + | 76.7059i | −1.31543 | + | 0.759465i | −0.982990 | − | 0.183659i | \(-0.941206\pi\) |
−0.332442 | + | 0.943124i | \(0.607872\pi\) | |||||||
\(102\) | 6.79546 | − | 101.742i | 0.0666221 | − | 0.997469i | ||||
\(103\) | −123.005 | − | 71.0169i | −1.19422 | − | 0.689485i | −0.234961 | − | 0.972005i | \(-0.575496\pi\) |
−0.959261 | + | 0.282520i | \(0.908830\pi\) | |||||||
\(104\) | 62.6128i | 0.602046i | ||||||||
\(105\) | −80.7064 | + | 67.1676i | −0.768632 | + | 0.639691i | ||||
\(106\) | −282.053 | −2.66088 | ||||||||
\(107\) | −28.5434 | + | 49.4386i | −0.266761 | + | 0.462043i | −0.968023 | − | 0.250860i | \(-0.919287\pi\) |
0.701263 | + | 0.712903i | \(0.252620\pi\) | |||||||
\(108\) | 161.336 | − | 54.0964i | 1.49385 | − | 0.500893i | ||||
\(109\) | −88.6354 | − | 153.521i | −0.813169 | − | 1.40845i | −0.910635 | − | 0.413211i | \(-0.864407\pi\) |
0.0974665 | − | 0.995239i | \(-0.468926\pi\) | |||||||
\(110\) | 190.515 | − | 44.0811i | 1.73195 | − | 0.400737i | ||||
\(111\) | 55.5423 | − | 82.9018i | 0.500381 | − | 0.746863i | ||||
\(112\) | 0.102324 | + | 10.4275i | 0.000913610 | + | 0.0931027i | ||||
\(113\) | −8.70089 | −0.0769990 | −0.0384995 | − | 0.999259i | \(-0.512258\pi\) | ||||
−0.0384995 | + | 0.999259i | \(0.512258\pi\) | |||||||
\(114\) | −174.252 | + | 85.6625i | −1.52852 | + | 0.751425i | ||||
\(115\) | 146.055 | + | 44.5761i | 1.27004 | + | 0.387618i | ||||
\(116\) | 234.099 | − | 135.157i | 2.01809 | − | 1.16515i | ||||
\(117\) | 10.1410 | − | 75.5770i | 0.0866751 | − | 0.645957i | ||||
\(118\) | 155.628i | 1.31888i | ||||||||
\(119\) | 64.5562 | + | 36.4316i | 0.542489 | + | 0.306148i | ||||
\(120\) | 109.421 | − | 17.7353i | 0.911843 | − | 0.147794i | ||||
\(121\) | 13.7337 | − | 23.7875i | 0.113502 | − | 0.196591i | ||||
\(122\) | 33.6935 | + | 58.3588i | 0.276176 | + | 0.478351i | ||||
\(123\) | 19.1853 | + | 1.28141i | 0.155978 | + | 0.0104179i | ||||
\(124\) | −38.5095 | + | 66.7004i | −0.310560 | + | 0.537907i | ||||
\(125\) | −78.8061 | − | 97.0288i | −0.630449 | − | 0.776231i | ||||
\(126\) | −24.9242 | + | 200.671i | −0.197811 | + | 1.59263i | ||||
\(127\) | 58.7503i | 0.462601i | 0.972882 | + | 0.231300i | \(0.0742980\pi\) | ||||
−0.972882 | + | 0.231300i | \(0.925702\pi\) | |||||||
\(128\) | 98.6526 | − | 170.871i | 0.770724 | − | 1.33493i | ||||
\(129\) | −59.9358 | − | 4.00318i | −0.464618 | − | 0.0310324i | ||||
\(130\) | 39.6923 | − | 130.053i | 0.305326 | − | 1.00041i | ||||
\(131\) | −69.7084 | − | 40.2462i | −0.532125 | − | 0.307223i | 0.209756 | − | 0.977754i | \(-0.432733\pi\) |
−0.741881 | + | 0.670531i | \(0.766066\pi\) | |||||||
\(132\) | 128.229 | − | 191.393i | 0.971430 | − | 1.44994i | ||||
\(133\) | −1.38505 | − | 141.146i | −0.0104139 | − | 1.06125i | ||||
\(134\) | 72.7076i | 0.542594i | ||||||||
\(135\) | −134.950 | + | 3.68516i | −0.999627 | + | 0.0272975i | ||||
\(136\) | −39.1280 | − | 67.7717i | −0.287706 | − | 0.498321i | ||||
\(137\) | −5.95720 | − | 10.3182i | −0.0434832 | − | 0.0753151i | 0.843465 | − | 0.537185i | \(-0.180512\pi\) |
−0.886948 | + | 0.461870i | \(0.847179\pi\) | |||||||
\(138\) | 263.920 | − | 129.743i | 1.91246 | − | 0.940170i | ||||
\(139\) | 126.136 | 0.907450 | 0.453725 | − | 0.891142i | \(-0.350095\pi\) | ||||
0.453725 | + | 0.891142i | \(0.350095\pi\) | |||||||
\(140\) | −62.3166 | + | 211.597i | −0.445119 | + | 1.51141i | ||||
\(141\) | −59.1881 | − | 39.6547i | −0.419774 | − | 0.281239i | ||||
\(142\) | −6.78652 | − | 3.91820i | −0.0477924 | − | 0.0275930i | ||||
\(143\) | −51.6187 | − | 89.4063i | −0.360970 | − | 0.625219i | ||||
\(144\) | −8.18833 | + | 10.6165i | −0.0568634 | + | 0.0737258i | ||||
\(145\) | −208.935 | + | 48.3431i | −1.44093 | + | 0.333400i | ||||
\(146\) | − | 283.757i | − | 1.94354i | ||||||
\(147\) | −123.707 | − | 79.4083i | −0.841542 | − | 0.540192i | ||||
\(148\) | − | 209.633i | − | 1.41644i | ||||||
\(149\) | 99.8945 | + | 57.6741i | 0.670433 | + | 0.387074i | 0.796241 | − | 0.604980i | \(-0.206819\pi\) |
−0.125808 | + | 0.992055i | \(0.540152\pi\) | |||||||
\(150\) | −238.522 | − | 32.5278i | −1.59015 | − | 0.216852i | ||||
\(151\) | 139.800 | + | 242.140i | 0.925827 | + | 1.60358i | 0.790226 | + | 0.612815i | \(0.209963\pi\) |
0.135600 | + | 0.990764i | \(0.456704\pi\) | |||||||
\(152\) | −74.5079 | + | 129.051i | −0.490184 | + | 0.849023i | ||||
\(153\) | 36.2530 | + | 88.1413i | 0.236948 | + | 0.576087i | ||||
\(154\) | 139.204 | + | 235.735i | 0.903920 | + | 1.53075i | ||||
\(155\) | 44.6679 | − | 41.6940i | 0.288180 | − | 0.268994i | ||||
\(156\) | −70.6734 | − | 143.762i | −0.453035 | − | 0.921548i | ||||
\(157\) | −23.3925 | + | 13.5057i | −0.148997 | + | 0.0860235i | −0.572645 | − | 0.819803i | \(-0.694083\pi\) |
0.423648 | + | 0.905827i | \(0.360749\pi\) | |||||||
\(158\) | −10.2798 | − | 17.8052i | −0.0650621 | − | 0.112691i | ||||
\(159\) | 236.581 | − | 116.304i | 1.48793 | − | 0.731470i | ||||
\(160\) | −125.522 | + | 117.165i | −0.784510 | + | 0.732279i | ||||
\(161\) | 2.09779 | + | 213.778i | 0.0130297 | + | 1.32781i | ||||
\(162\) | −184.751 | + | 182.924i | −1.14044 | + | 1.12916i | ||||
\(163\) | 238.591 | + | 137.750i | 1.46375 | + | 0.845094i | 0.999182 | − | 0.0404450i | \(-0.0128776\pi\) |
0.464565 | + | 0.885539i | \(0.346211\pi\) | |||||||
\(164\) | 34.9822 | − | 20.1970i | 0.213306 | − | 0.123152i | ||||
\(165\) | −141.624 | + | 115.533i | −0.858327 | + | 0.700199i | ||||
\(166\) | 166.195 | − | 287.859i | 1.00118 | − | 1.73409i | ||||
\(167\) | −8.17643 | −0.0489607 | −0.0244803 | − | 0.999700i | \(-0.507793\pi\) | ||||
−0.0244803 | + | 0.999700i | \(0.507793\pi\) | |||||||
\(168\) | 69.8286 | + | 138.591i | 0.415646 | + | 0.824948i | ||||
\(169\) | 97.2133 | 0.575227 | ||||||||
\(170\) | 38.3101 | + | 165.573i | 0.225353 | + | 0.973960i | ||||
\(171\) | 110.837 | − | 143.704i | 0.648167 | − | 0.840377i | ||||
\(172\) | −109.286 | + | 63.0964i | −0.635384 | + | 0.366839i | ||||
\(173\) | −42.5110 | + | 73.6312i | −0.245728 | + | 0.425614i | −0.962336 | − | 0.271862i | \(-0.912360\pi\) |
0.716608 | + | 0.697476i | \(0.245694\pi\) | |||||||
\(174\) | −229.880 | + | 343.116i | −1.32115 | + | 1.97193i | ||||
\(175\) | 96.2889 | − | 146.128i | 0.550222 | − | 0.835018i | ||||
\(176\) | 18.1518i | 0.103135i | ||||||||
\(177\) | −64.1728 | − | 130.538i | −0.362558 | − | 0.737504i | ||||
\(178\) | −174.278 | + | 100.619i | −0.979090 | + | 0.565278i | ||||
\(179\) | −107.239 | + | 61.9145i | −0.599101 | + | 0.345891i | −0.768688 | − | 0.639624i | \(-0.779090\pi\) |
0.169587 | + | 0.985515i | \(0.445757\pi\) | |||||||
\(180\) | −231.217 | + | 164.229i | −1.28454 | + | 0.912382i | ||||
\(181\) | −169.201 | −0.934815 | −0.467407 | − | 0.884042i | \(-0.654812\pi\) | ||||
−0.467407 | + | 0.884042i | \(0.654812\pi\) | |||||||
\(182\) | 190.356 | − | 1.86795i | 1.04591 | − | 0.0102635i | ||||
\(183\) | −52.3256 | − | 35.0570i | −0.285932 | − | 0.191568i | ||||
\(184\) | 112.849 | − | 195.460i | 0.613309 | − | 1.06228i | ||||
\(185\) | −48.5483 | + | 159.070i | −0.262423 | + | 0.859837i | ||||
\(186\) | 7.84218 | − | 117.413i | 0.0421623 | − | 0.631255i | ||||
\(187\) | 111.744 | + | 64.5152i | 0.597559 | + | 0.345001i | ||||
\(188\) | −149.669 | −0.796110 | ||||||||
\(189\) | −61.8401 | − | 178.597i | −0.327196 | − | 0.944956i | ||||
\(190\) | 236.570 | − | 220.820i | 1.24511 | − | 1.16221i | ||||
\(191\) | −110.601 | − | 63.8554i | −0.579062 | − | 0.334322i | 0.181699 | − | 0.983354i | \(-0.441841\pi\) |
−0.760761 | + | 0.649033i | \(0.775174\pi\) | |||||||
\(192\) | −20.8460 | + | 312.107i | −0.108573 | + | 1.62556i | ||||
\(193\) | 107.040 | − | 61.7995i | 0.554611 | − | 0.320205i | −0.196369 | − | 0.980530i | \(-0.562915\pi\) |
0.750980 | + | 0.660325i | \(0.229582\pi\) | |||||||
\(194\) | −390.658 | − | 225.547i | −2.01370 | − | 1.16261i | ||||
\(195\) | 20.3338 | + | 125.453i | 0.104276 | + | 0.643350i | ||||
\(196\) | −308.756 | + | 6.06019i | −1.57529 | + | 0.0309193i | ||||
\(197\) | 22.5579 | 0.114507 | 0.0572536 | − | 0.998360i | \(-0.481766\pi\) | ||||
0.0572536 | + | 0.998360i | \(0.481766\pi\) | |||||||
\(198\) | −46.8104 | + | 348.860i | −0.236416 | + | 1.76192i | ||||
\(199\) | 17.2597 | + | 29.8946i | 0.0867319 | + | 0.150224i | 0.906128 | − | 0.423004i | \(-0.139024\pi\) |
−0.819396 | + | 0.573228i | \(0.805691\pi\) | |||||||
\(200\) | −165.972 | + | 81.1493i | −0.829862 | + | 0.405747i | ||||
\(201\) | −29.9808 | − | 60.9859i | −0.149158 | − | 0.303412i | ||||
\(202\) | − | 492.411i | − | 2.43768i | ||||||
\(203\) | −152.663 | − | 258.527i | −0.752032 | − | 1.27353i | ||||
\(204\) | 166.336 | + | 111.441i | 0.815372 | + | 0.546281i | ||||
\(205\) | −31.2218 | + | 7.22406i | −0.152302 | + | 0.0352393i | ||||
\(206\) | 394.812 | − | 227.945i | 1.91657 | − | 1.10653i | ||||
\(207\) | −167.872 | + | 217.653i | −0.810975 | + | 1.05146i | ||||
\(208\) | 10.9309 | + | 6.31095i | 0.0525524 | + | 0.0303411i | ||||
\(209\) | − | 245.701i | − | 1.17560i | ||||||
\(210\) | −57.1834 | − | 332.135i | −0.272302 | − | 1.58159i | ||||
\(211\) | 76.0725 | 0.360533 | 0.180267 | − | 0.983618i | \(-0.442304\pi\) | ||||
0.180267 | + | 0.983618i | \(0.442304\pi\) | |||||||
\(212\) | 276.908 | − | 479.618i | 1.30617 | − | 2.26235i | ||||
\(213\) | 7.30808 | + | 0.488115i | 0.0343102 | + | 0.00229162i | ||||
\(214\) | −91.6165 | − | 158.684i | −0.428114 | − | 0.741516i | ||||
\(215\) | 97.5386 | − | 22.5683i | 0.453668 | − | 0.104969i | ||||
\(216\) | −39.6551 | + | 195.548i | −0.183589 | + | 0.905316i | ||||
\(217\) | 74.5000 | + | 42.0433i | 0.343318 | + | 0.193748i | ||||
\(218\) | 568.991 | 2.61005 | ||||||||
\(219\) | 117.006 | + | 238.010i | 0.534275 | + | 1.08680i | ||||
\(220\) | −112.082 | + | 367.239i | −0.509463 | + | 1.66927i | ||||
\(221\) | 77.7014 | − | 44.8609i | 0.351590 | − | 0.202991i | ||||
\(222\) | 141.305 | + | 287.438i | 0.636508 | + | 1.29476i | ||||
\(223\) | − | 312.738i | − | 1.40241i | −0.712959 | − | 0.701206i | \(-0.752645\pi\) | ||
0.712959 | − | 0.701206i | \(-0.247355\pi\) | |||||||
\(224\) | −209.353 | − | 118.146i | −0.934611 | − | 0.527438i | ||||
\(225\) | 213.481 | − | 71.0701i | 0.948803 | − | 0.315867i | ||||
\(226\) | 13.9638 | − | 24.1859i | 0.0617865 | − | 0.107017i | ||||
\(227\) | 34.4570 | + | 59.6813i | 0.151793 | + | 0.262913i | 0.931887 | − | 0.362750i | \(-0.118162\pi\) |
−0.780094 | + | 0.625663i | \(0.784829\pi\) | |||||||
\(228\) | 25.4079 | − | 380.407i | 0.111438 | − | 1.66845i | ||||
\(229\) | −172.075 | + | 298.043i | −0.751419 | + | 1.30150i | 0.195716 | + | 0.980661i | \(0.437297\pi\) |
−0.947135 | + | 0.320835i | \(0.896036\pi\) | |||||||
\(230\) | −358.307 | + | 334.451i | −1.55786 | + | 1.45414i | ||||
\(231\) | −213.966 | − | 140.330i | −0.926261 | − | 0.607490i | ||||
\(232\) | 316.962i | 1.36622i | ||||||||
\(233\) | −20.0104 | + | 34.6590i | −0.0858816 | + | 0.148751i | −0.905767 | − | 0.423777i | \(-0.860704\pi\) |
0.819885 | + | 0.572528i | \(0.194037\pi\) | |||||||
\(234\) | 193.807 | + | 149.480i | 0.828235 | + | 0.638802i | ||||
\(235\) | 113.569 | + | 34.6613i | 0.483271 | + | 0.147495i | ||||
\(236\) | −264.639 | − | 152.789i | −1.12135 | − | 0.647412i | ||||
\(237\) | 15.9644 | + | 10.6958i | 0.0673605 | + | 0.0451300i | ||||
\(238\) | −204.873 | + | 120.979i | −0.860811 | + | 0.508317i | ||||
\(239\) | − | 341.734i | − | 1.42985i | −0.699201 | − | 0.714925i | \(-0.746461\pi\) | ||
0.699201 | − | 0.714925i | \(-0.253539\pi\) | |||||||
\(240\) | 7.93272 | − | 20.8903i | 0.0330530 | − | 0.0870427i | ||||
\(241\) | −64.0475 | − | 110.934i | −0.265757 | − | 0.460305i | 0.702004 | − | 0.712173i | \(-0.252289\pi\) |
−0.967762 | + | 0.251867i | \(0.918955\pi\) | |||||||
\(242\) | 44.0815 | + | 76.3514i | 0.182155 | + | 0.315502i | ||||
\(243\) | 79.5375 | − | 229.614i | 0.327315 | − | 0.944915i | ||||
\(244\) | −132.316 | −0.542277 | ||||||||
\(245\) | 235.688 | + | 66.9053i | 0.961991 | + | 0.273083i | ||||
\(246\) | −34.3517 | + | 51.2729i | −0.139641 | + | 0.208427i | ||||
\(247\) | −147.960 | − | 85.4246i | −0.599027 | − | 0.345849i | ||||
\(248\) | −45.1550 | − | 78.2108i | −0.182077 | − | 0.315366i | ||||
\(249\) | −20.7040 | + | 309.981i | −0.0831486 | + | 1.24490i | ||||
\(250\) | 396.185 | − | 63.3399i | 1.58474 | − | 0.253360i | ||||
\(251\) | 201.118i | 0.801266i | 0.916239 | + | 0.400633i | \(0.131210\pi\) | ||||
−0.916239 | + | 0.400633i | \(0.868790\pi\) | |||||||
\(252\) | −316.763 | − | 239.393i | −1.25699 | − | 0.949972i | ||||
\(253\) | 372.136i | 1.47089i | ||||||||
\(254\) | −163.309 | − | 94.2863i | −0.642947 | − | 0.371206i | ||||
\(255\) | −100.407 | − | 123.083i | −0.393755 | − | 0.482678i | ||||
\(256\) | 108.113 | + | 187.257i | 0.422316 | + | 0.731473i | ||||
\(257\) | −126.605 | + | 219.286i | −0.492626 | + | 0.853253i | −0.999964 | − | 0.00849432i | \(-0.997296\pi\) |
0.507338 | + | 0.861747i | \(0.330629\pi\) | |||||||
\(258\) | 107.316 | − | 160.179i | 0.415955 | − | 0.620850i | ||||
\(259\) | −232.828 | + | 2.28472i | −0.898949 | + | 0.00882132i | ||||
\(260\) | 182.181 | + | 195.176i | 0.700697 | + | 0.750676i | ||||
\(261\) | 51.3363 | − | 382.590i | 0.196691 | − | 1.46586i | ||||
\(262\) | 223.745 | − | 129.179i | 0.853989 | − | 0.493051i | ||||
\(263\) | 90.9512 | + | 157.532i | 0.345822 | + | 0.598982i | 0.985503 | − | 0.169659i | \(-0.0542667\pi\) |
−0.639681 | + | 0.768641i | \(0.720933\pi\) | |||||||
\(264\) | 119.176 | + | 242.423i | 0.451424 | + | 0.918270i | ||||
\(265\) | −321.191 | + | 299.806i | −1.21204 | + | 1.13134i | ||||
\(266\) | 394.567 | + | 222.670i | 1.48333 | + | 0.837105i | ||||
\(267\) | 104.691 | − | 156.261i | 0.392102 | − | 0.585247i | ||||
\(268\) | −123.636 | − | 71.3814i | −0.461329 | − | 0.266348i | ||||
\(269\) | 224.807 | − | 129.792i | 0.835714 | − | 0.482499i | −0.0200914 | − | 0.999798i | \(-0.506396\pi\) |
0.855805 | + | 0.517299i | \(0.173062\pi\) | |||||||
\(270\) | 206.332 | − | 381.035i | 0.764194 | − | 1.41124i | ||||
\(271\) | −17.7512 | + | 30.7460i | −0.0655026 | + | 0.113454i | −0.896917 | − | 0.442199i | \(-0.854198\pi\) |
0.831414 | + | 0.555653i | \(0.187532\pi\) | |||||||
\(272\) | −15.7754 | −0.0579977 | ||||||||
\(273\) | −158.897 | + | 80.0597i | −0.582041 | + | 0.293259i | ||||
\(274\) | 38.2420 | 0.139569 | ||||||||
\(275\) | 170.095 | − | 252.705i | 0.618529 | − | 0.918926i | ||||
\(276\) | −38.4824 | + | 576.161i | −0.139429 | + | 2.08754i | ||||
\(277\) | 310.160 | − | 179.071i | 1.11971 | − | 0.646466i | 0.178385 | − | 0.983961i | \(-0.442913\pi\) |
0.941327 | + | 0.337495i | \(0.109579\pi\) | |||||||
\(278\) | −202.431 | + | 350.620i | −0.728167 | + | 1.26122i | ||||
\(279\) | 41.8372 | + | 101.718i | 0.149954 | + | 0.364581i | ||||
\(280\) | −178.336 | − | 187.337i | −0.636914 | − | 0.669060i | ||||
\(281\) | 193.923i | 0.690117i | 0.938581 | + | 0.345058i | \(0.112141\pi\) | ||||
−0.938581 | + | 0.345058i | \(0.887859\pi\) | |||||||
\(282\) | 205.217 | − | 100.885i | 0.727721 | − | 0.357749i | ||||
\(283\) | −111.089 | + | 64.1371i | −0.392539 | + | 0.226633i | −0.683260 | − | 0.730175i | \(-0.739438\pi\) |
0.290720 | + | 0.956808i | \(0.406105\pi\) | |||||||
\(284\) | 13.3255 | − | 7.69345i | 0.0469206 | − | 0.0270896i | ||||
\(285\) | −107.377 | + | 282.769i | −0.376760 | + | 0.992172i | ||||
\(286\) | 331.364 | 1.15862 | ||||||||
\(287\) | −22.8129 | − | 38.6326i | −0.0794873 | − | 0.134608i | ||||
\(288\) | −117.567 | − | 285.838i | −0.408219 | − | 0.992495i | ||||
\(289\) | 88.4310 | − | 153.167i | 0.305990 | − | 0.529990i | ||||
\(290\) | 200.933 | − | 658.362i | 0.692872 | − | 2.27021i | ||||
\(291\) | 420.681 | + | 28.0978i | 1.44564 | + | 0.0965560i | ||||
\(292\) | 482.516 | + | 278.581i | 1.65245 | + | 0.954043i | ||||
\(293\) | 430.914 | 1.47070 | 0.735348 | − | 0.677689i | \(-0.237019\pi\) | ||||
0.735348 | + | 0.677689i | \(0.237019\pi\) | |||||||
\(294\) | 419.264 | − | 216.429i | 1.42607 | − | 0.736152i | ||||
\(295\) | 165.424 | + | 177.223i | 0.560760 | + | 0.600757i | ||||
\(296\) | 212.877 | + | 122.905i | 0.719180 | + | 0.415219i | ||||
\(297\) | −104.588 | − | 311.920i | −0.352147 | − | 1.05024i | ||||
\(298\) | −320.634 | + | 185.118i | −1.07595 | + | 0.621202i | ||||
\(299\) | 224.098 | + | 129.383i | 0.749492 | + | 0.432719i | ||||
\(300\) | 289.483 | − | 373.662i | 0.964944 | − | 1.24554i | ||||
\(301\) | 71.2685 | + | 120.690i | 0.236773 | + | 0.400964i | ||||
\(302\) | −897.439 | −2.97165 | ||||||||
\(303\) | 203.044 | + | 413.025i | 0.670112 | + | 1.36312i | ||||
\(304\) | 15.0198 | + | 26.0151i | 0.0494072 | + | 0.0855758i | ||||
\(305\) | 100.401 | + | 30.6425i | 0.329184 | + | 0.100467i | ||||
\(306\) | −303.188 | − | 40.6821i | −0.990811 | − | 0.132948i | ||||
\(307\) | − | 204.653i | − | 0.666622i | −0.942817 | − | 0.333311i | \(-0.891834\pi\) | ||
0.942817 | − | 0.333311i | \(-0.108166\pi\) | |||||||
\(308\) | −537.521 | + | 5.27466i | −1.74520 | + | 0.0171255i | ||||
\(309\) | −237.169 | + | 353.996i | −0.767538 | + | 1.14562i | ||||
\(310\) | 44.2111 | + | 191.077i | 0.142616 | + | 0.616377i | ||||
\(311\) | −338.495 | + | 195.430i | −1.08841 | + | 0.628393i | −0.933153 | − | 0.359481i | \(-0.882954\pi\) |
−0.155257 | + | 0.987874i | \(0.549621\pi\) | |||||||
\(312\) | 187.421 | + | 12.5181i | 0.600708 | + | 0.0401220i | ||||
\(313\) | −222.263 | − | 128.323i | −0.710104 | − | 0.409979i | 0.100996 | − | 0.994887i | \(-0.467797\pi\) |
−0.811100 | + | 0.584908i | \(0.801131\pi\) | |||||||
\(314\) | − | 86.6992i | − | 0.276112i | ||||||
\(315\) | 184.919 | + | 255.010i | 0.587045 | + | 0.809554i | ||||
\(316\) | 40.3692 | 0.127751 | ||||||||
\(317\) | 159.906 | − | 276.965i | 0.504435 | − | 0.873707i | −0.495552 | − | 0.868578i | \(-0.665034\pi\) |
0.999987 | − | 0.00512853i | \(-0.00163247\pi\) | |||||||
\(318\) | −56.3903 | + | 844.277i | −0.177328 | + | 2.65496i | ||||
\(319\) | −261.307 | − | 452.597i | −0.819145 | − | 1.41880i | ||||
\(320\) | −117.522 | − | 507.919i | −0.367255 | − | 1.58725i | ||||
\(321\) | 142.279 | + | 95.3239i | 0.443238 | + | 0.296959i | ||||
\(322\) | −597.607 | − | 337.253i | −1.85592 | − | 1.04737i | ||||
\(323\) | 213.534 | 0.661097 | ||||||||
\(324\) | −129.673 | − | 493.747i | −0.400225 | − | 1.52391i | ||||
\(325\) | −93.0391 | − | 190.290i | −0.286274 | − | 0.585509i | ||||
\(326\) | −765.811 | + | 442.141i | −2.34911 | + | 1.35626i | ||||
\(327\) | −477.260 | + | 234.622i | −1.45951 | + | 0.717498i | ||||
\(328\) | 47.3647i | 0.144404i | ||||||||
\(329\) | 1.63119 | + | 166.228i | 0.00495801 | + | 0.505253i | ||||
\(330\) | −93.8599 | − | 579.088i | −0.284424 | − | 1.75481i | ||||
\(331\) | −144.224 | + | 249.804i | −0.435723 | + | 0.754694i | −0.997354 | − | 0.0726932i | \(-0.976841\pi\) |
0.561631 | + | 0.827388i | \(0.310174\pi\) | |||||||
\(332\) | 326.327 | + | 565.215i | 0.982914 | + | 1.70246i | ||||
\(333\) | −237.048 | − | 182.831i | −0.711856 | − | 0.549042i | ||||
\(334\) | 13.1221 | − | 22.7281i | 0.0392876 | − | 0.0680482i | ||||
\(335\) | 77.2842 | + | 82.7967i | 0.230699 | + | 0.247154i | ||||
\(336\) | 31.2334 | + | 1.77846i | 0.0929566 | + | 0.00529303i | ||||
\(337\) | 380.518i | 1.12913i | 0.825387 | + | 0.564567i | \(0.190957\pi\) | ||||
−0.825387 | + | 0.564567i | \(0.809043\pi\) | |||||||
\(338\) | −156.014 | + | 270.225i | −0.461581 | + | 0.799481i | ||||
\(339\) | −1.73955 | + | 26.0446i | −0.00513142 | + | 0.0768279i | ||||
\(340\) | −319.161 | − | 97.4083i | −0.938709 | − | 0.286495i | ||||
\(341\) | 128.956 | + | 74.4527i | 0.378170 | + | 0.218336i | ||||
\(342\) | 221.578 | + | 538.719i | 0.647890 | + | 1.57520i | ||||
\(343\) | 10.0957 | + | 342.851i | 0.0294336 | + | 0.999567i | ||||
\(344\) | − | 147.970i | − | 0.430144i | ||||||
\(345\) | 162.632 | − | 428.279i | 0.471396 | − | 1.24139i | ||||
\(346\) | −136.449 | − | 236.336i | −0.394361 | − | 0.683053i | ||||
\(347\) | 85.3529 | + | 147.836i | 0.245974 | + | 0.426039i | 0.962405 | − | 0.271619i | \(-0.0875590\pi\) |
−0.716431 | + | 0.697658i | \(0.754226\pi\) | |||||||
\(348\) | −357.767 | − | 727.757i | −1.02807 | − | 2.09126i | ||||
\(349\) | 549.147 | 1.57349 | 0.786744 | − | 0.617280i | \(-0.211765\pi\) | ||||
0.786744 | + | 0.617280i | \(0.211765\pi\) | |||||||
\(350\) | 251.663 | + | 502.171i | 0.719037 | + | 1.43477i | ||||
\(351\) | −224.199 | − | 45.4653i | −0.638745 | − | 0.129531i | ||||
\(352\) | −362.380 | − | 209.220i | −1.02949 | − | 0.594375i | ||||
\(353\) | −153.623 | − | 266.082i | −0.435192 | − | 0.753775i | 0.562119 | − | 0.827056i | \(-0.309986\pi\) |
−0.997311 | + | 0.0732815i | \(0.976653\pi\) | |||||||
\(354\) | 465.847 | + | 31.1145i | 1.31595 | + | 0.0878939i | ||||
\(355\) | −11.8931 | + | 2.75180i | −0.0335016 | + | 0.00775155i | ||||
\(356\) | − | 395.136i | − | 1.10993i | ||||||
\(357\) | 121.959 | − | 185.954i | 0.341620 | − | 0.520880i | ||||
\(358\) | − | 397.457i | − | 1.11022i | ||||||
\(359\) | −94.3043 | − | 54.4466i | −0.262686 | − | 0.151662i | 0.362873 | − | 0.931839i | \(-0.381796\pi\) |
−0.625559 | + | 0.780177i | \(0.715129\pi\) | |||||||
\(360\) | −31.2111 | − | 331.080i | −0.0866976 | − | 0.919666i | ||||
\(361\) | −22.8069 | − | 39.5027i | −0.0631770 | − | 0.109426i | ||||
\(362\) | 271.545 | − | 470.330i | 0.750125 | − | 1.29926i | ||||
\(363\) | −68.4581 | − | 45.8653i | −0.188590 | − | 0.126351i | ||||
\(364\) | −183.708 | + | 325.526i | −0.504691 | + | 0.894303i | ||||
\(365\) | −301.618 | − | 323.131i | −0.826349 | − | 0.885291i | ||||
\(366\) | 181.424 | − | 89.1882i | 0.495693 | − | 0.243684i | ||||
\(367\) | 99.8081 | − | 57.6242i | 0.271957 | − | 0.157014i | −0.357820 | − | 0.933791i | \(-0.616480\pi\) |
0.629776 | + | 0.776776i | \(0.283146\pi\) | |||||||
\(368\) | −22.7488 | − | 39.4021i | −0.0618174 | − | 0.107071i | ||||
\(369\) | 7.67135 | − | 57.1717i | 0.0207896 | − | 0.154937i | ||||
\(370\) | −364.254 | − | 390.236i | −0.984471 | − | 1.05469i | ||||
\(371\) | −535.702 | − | 302.318i | −1.44394 | − | 0.814874i | ||||
\(372\) | 191.957 | + | 128.607i | 0.516014 | + | 0.345718i | ||||
\(373\) | −77.4504 | − | 44.7160i | −0.207642 | − | 0.119882i | 0.392573 | − | 0.919721i | \(-0.371585\pi\) |
−0.600215 | + | 0.799839i | \(0.704918\pi\) | |||||||
\(374\) | −358.667 | + | 207.076i | −0.959002 | + | 0.553680i | ||||
\(375\) | −306.195 | + | 216.494i | −0.816520 | + | 0.577318i | ||||
\(376\) | 87.7484 | − | 151.985i | 0.233373 | − | 0.404214i | ||||
\(377\) | −363.402 | −0.963932 | ||||||||
\(378\) | 595.692 | + | 114.726i | 1.57590 | + | 0.303509i | ||||
\(379\) | 221.030 | 0.583193 | 0.291596 | − | 0.956541i | \(-0.405814\pi\) | ||||
0.291596 | + | 0.956541i | \(0.405814\pi\) | |||||||
\(380\) | 143.239 | + | 619.070i | 0.376946 | + | 1.62913i | ||||
\(381\) | 175.859 | + | 11.7458i | 0.461572 | + | 0.0308290i | ||||
\(382\) | 354.999 | − | 204.959i | 0.929316 | − | 0.536541i | ||||
\(383\) | −93.5845 | + | 162.093i | −0.244346 | + | 0.423220i | −0.961948 | − | 0.273234i | \(-0.911907\pi\) |
0.717602 | + | 0.696454i | \(0.245240\pi\) | |||||||
\(384\) | −491.751 | − | 329.462i | −1.28060 | − | 0.857974i | ||||
\(385\) | 409.093 | + | 120.480i | 1.06258 | + | 0.312936i | ||||
\(386\) | 396.719i | 1.02777i | ||||||||
\(387\) | −23.9657 | + | 178.607i | −0.0619268 | + | 0.461517i | ||||
\(388\) | 767.065 | − | 442.865i | 1.97697 | − | 1.14140i | ||||
\(389\) | 183.652 | − | 106.032i | 0.472113 | − | 0.272575i | −0.245011 | − | 0.969520i | \(-0.578791\pi\) |
0.717124 | + | 0.696946i | \(0.245458\pi\) | |||||||
\(390\) | −381.356 | − | 144.814i | −0.977837 | − | 0.371317i | ||||
\(391\) | −323.416 | −0.827152 | ||||||||
\(392\) | 174.865 | − | 317.087i | 0.446084 | − | 0.808895i | ||||
\(393\) | −134.407 | + | 200.614i | −0.342002 | + | 0.510468i | ||||
\(394\) | −36.2024 | + | 62.7044i | −0.0918843 | + | 0.159148i | ||||
\(395\) | −30.6321 | − | 9.34896i | −0.0775497 | − | 0.0236683i | ||||
\(396\) | −547.265 | − | 422.096i | −1.38198 | − | 1.06590i | ||||
\(397\) | −514.877 | − | 297.264i | −1.29692 | − | 0.748776i | −0.317048 | − | 0.948410i | \(-0.602692\pi\) |
−0.979871 | + | 0.199634i | \(0.936025\pi\) | |||||||
\(398\) | −110.798 | −0.278386 | ||||||||
\(399\) | −422.773 | − | 24.0731i | −1.05958 | − | 0.0603336i | ||||
\(400\) | −2.56193 | + | 37.1546i | −0.00640483 | + | 0.0928866i | ||||
\(401\) | 400.309 | + | 231.118i | 0.998277 | + | 0.576355i | 0.907738 | − | 0.419538i | \(-0.137808\pi\) |
0.0905387 | + | 0.995893i | \(0.471141\pi\) | |||||||
\(402\) | 217.638 | + | 14.5363i | 0.541388 | + | 0.0361600i | ||||
\(403\) | 89.6700 | − | 51.7710i | 0.222506 | − | 0.128464i | ||||
\(404\) | 837.322 | + | 483.428i | 2.07258 | + | 1.19660i | ||||
\(405\) | −15.9493 | + | 404.686i | −0.0393811 | + | 0.999224i | ||||
\(406\) | 963.632 | − | 9.45606i | 2.37348 | − | 0.0232908i | ||||
\(407\) | −405.297 | −0.995815 | ||||||||
\(408\) | −210.686 | + | 103.574i | −0.516387 | + | 0.253857i | ||||
\(409\) | −105.366 | − | 182.500i | −0.257620 | − | 0.446211i | 0.707984 | − | 0.706228i | \(-0.249605\pi\) |
−0.965604 | + | 0.260018i | \(0.916272\pi\) | |||||||
\(410\) | 30.0260 | − | 98.3812i | 0.0732343 | − | 0.239954i | ||||
\(411\) | −32.0767 | + | 15.7690i | −0.0780455 | + | 0.0383673i | ||||
\(412\) | 895.148i | 2.17269i | ||||||||
\(413\) | −166.810 | + | 295.584i | −0.403898 | + | 0.715700i | ||||
\(414\) | −335.600 | − | 815.938i | −0.810628 | − | 1.97087i | ||||
\(415\) | −116.721 | − | 504.459i | −0.281255 | − | 1.21556i | ||||
\(416\) | −251.982 | + | 145.482i | −0.605727 | + | 0.349716i | ||||
\(417\) | 25.2181 | − | 377.566i | 0.0604749 | − | 0.905433i | ||||
\(418\) | 682.976 | + | 394.317i | 1.63391 | + | 0.943341i | ||||
\(419\) | 97.7368i | 0.233262i | 0.993175 | + | 0.116631i | \(0.0372095\pi\) | ||||
−0.993175 | + | 0.116631i | \(0.962791\pi\) | |||||||
\(420\) | 620.921 | + | 228.838i | 1.47838 | + | 0.544853i | ||||
\(421\) | 576.919 | 1.37035 | 0.685177 | − | 0.728376i | \(-0.259725\pi\) | ||||
0.685177 | + | 0.728376i | \(0.259725\pi\) | |||||||
\(422\) | −122.086 | + | 211.459i | −0.289303 | + | 0.501088i | ||||
\(423\) | −130.533 | + | 169.241i | −0.308588 | + | 0.400098i | ||||
\(424\) | 324.693 | + | 562.385i | 0.765786 | + | 1.32638i | ||||
\(425\) | 219.621 | + | 147.827i | 0.516756 | + | 0.347828i | ||||
\(426\) | −13.0853 | + | 19.5309i | −0.0307166 | + | 0.0458473i | ||||
\(427\) | 1.44206 | + | 146.955i | 0.00337719 | + | 0.344157i | ||||
\(428\) | 359.781 | 0.840610 | ||||||||
\(429\) | −277.943 | + | 136.637i | −0.647885 | + | 0.318502i | ||||
\(430\) | −93.8029 | + | 307.348i | −0.218146 | + | 0.714762i | ||||
\(431\) | 146.182 | − | 84.3983i | 0.339170 | − | 0.195820i | −0.320735 | − | 0.947169i | \(-0.603930\pi\) |
0.659905 | + | 0.751349i | \(0.270597\pi\) | |||||||
\(432\) | 30.1417 | + | 26.6329i | 0.0697724 | + | 0.0616503i | ||||
\(433\) | − | 328.967i | − | 0.759739i | −0.925040 | − | 0.379870i | \(-0.875969\pi\) | ||
0.925040 | − | 0.379870i | \(-0.124031\pi\) | |||||||
\(434\) | −236.430 | + | 139.614i | −0.544771 | + | 0.321692i | ||||
\(435\) | 102.935 | + | 635.077i | 0.236632 | + | 1.45995i | ||||
\(436\) | −558.612 | + | 967.544i | −1.28122 | + | 2.21914i | ||||
\(437\) | 307.926 | + | 533.344i | 0.704637 | + | 1.22047i | ||||
\(438\) | −849.377 | − | 56.7309i | −1.93922 | − | 0.129523i | ||||
\(439\) | 110.035 | − | 190.586i | 0.250649 | − | 0.434136i | −0.713056 | − | 0.701107i | \(-0.752689\pi\) |
0.963705 | + | 0.266971i | \(0.0860228\pi\) | |||||||
\(440\) | −307.210 | − | 329.123i | −0.698205 | − | 0.748006i | ||||
\(441\) | −262.428 | + | 354.419i | −0.595074 | + | 0.803671i | ||||
\(442\) | 287.983i | 0.651545i | ||||||||
\(443\) | 98.0040 | − | 169.748i | 0.221228 | − | 0.383178i | −0.733953 | − | 0.679200i | \(-0.762327\pi\) |
0.955181 | + | 0.296022i | \(0.0956602\pi\) | |||||||
\(444\) | −627.502 | − | 41.9116i | −1.41329 | − | 0.0943955i | ||||
\(445\) | −91.5083 | + | 299.829i | −0.205637 | + | 0.673774i | ||||
\(446\) | 869.319 | + | 501.902i | 1.94915 | + | 1.12534i | ||||
\(447\) | 192.609 | − | 287.487i | 0.430893 | − | 0.643147i | ||||
\(448\) | 628.477 | − | 371.121i | 1.40285 | − | 0.828396i | ||||
\(449\) | − | 434.253i | − | 0.967156i | −0.875301 | − | 0.483578i | \(-0.839337\pi\) | ||
0.875301 | − | 0.483578i | \(-0.160663\pi\) | |||||||
\(450\) | −145.054 | + | 707.472i | −0.322342 | + | 1.57216i | ||||
\(451\) | −39.0480 | − | 67.6331i | −0.0865809 | − | 0.149963i | ||||
\(452\) | 27.4181 | + | 47.4895i | 0.0606594 | + | 0.105065i | ||||
\(453\) | 752.756 | − | 370.056i | 1.66171 | − | 0.816902i | ||||
\(454\) | −221.195 | −0.487214 | ||||||||
\(455\) | 214.785 | − | 204.465i | 0.472055 | − | 0.449374i | ||||
\(456\) | 371.397 | + | 248.828i | 0.814468 | + | 0.545675i | ||||
\(457\) | 18.5054 | + | 10.6841i | 0.0404932 | + | 0.0233787i | 0.520110 | − | 0.854099i | \(-0.325891\pi\) |
−0.479617 | + | 0.877478i | \(0.659224\pi\) | |||||||
\(458\) | −552.314 | − | 956.636i | −1.20593 | − | 2.08872i | ||||
\(459\) | 271.084 | − | 90.8954i | 0.590597 | − | 0.198029i | ||||
\(460\) | −216.949 | − | 937.636i | −0.471628 | − | 2.03834i | ||||
\(461\) | 759.274i | 1.64702i | 0.567305 | + | 0.823508i | \(0.307986\pi\) | ||||
−0.567305 | + | 0.823508i | \(0.692014\pi\) | |||||||
\(462\) | 733.464 | − | 369.552i | 1.58758 | − | 0.799897i | ||||
\(463\) | 242.225i | 0.523164i | 0.965181 | + | 0.261582i | \(0.0842443\pi\) | ||||
−0.965181 | + | 0.261582i | \(0.915756\pi\) | |||||||
\(464\) | 55.3349 | + | 31.9476i | 0.119256 | + | 0.0688527i | ||||
\(465\) | −115.874 | − | 142.042i | −0.249190 | − | 0.305466i | ||||
\(466\) | −64.2280 | − | 111.246i | −0.137828 | − | 0.238726i | ||||
\(467\) | 207.939 | − | 360.160i | 0.445265 | − | 0.771221i | −0.552806 | − | 0.833310i | \(-0.686443\pi\) |
0.998071 | + | 0.0620891i | \(0.0197763\pi\) | |||||||
\(468\) | −444.455 | + | 182.807i | −0.949691 | + | 0.390613i | ||||
\(469\) | −77.9317 | + | 138.093i | −0.166166 | + | 0.294442i | ||||
\(470\) | −278.610 | + | 260.061i | −0.592788 | + | 0.553321i | ||||
\(471\) | 35.7502 | + | 72.7218i | 0.0759027 | + | 0.154399i | ||||
\(472\) | 310.307 | − | 179.156i | 0.657430 | − | 0.379568i | ||||
\(473\) | 121.988 | + | 211.289i | 0.257903 | + | 0.446700i | ||||
\(474\) | −55.3519 | + | 27.2111i | −0.116776 | + | 0.0574074i | ||||
\(475\) | 34.6781 | − | 502.923i | 0.0730066 | − | 1.05878i | ||||
\(476\) | −4.58411 | − | 467.150i | −0.00963049 | − | 0.981408i | ||||
\(477\) | −300.836 | − | 731.417i | −0.630684 | − | 1.53337i | ||||
\(478\) | 949.921 | + | 548.437i | 1.98728 | + | 1.14736i | ||||
\(479\) | −45.1496 | + | 26.0672i | −0.0942581 | + | 0.0544199i | −0.546388 | − | 0.837532i | \(-0.683998\pi\) |
0.452130 | + | 0.891952i | \(0.350664\pi\) | |||||||
\(480\) | 325.617 | + | 399.152i | 0.678369 | + | 0.831567i | ||||
\(481\) | −140.912 | + | 244.067i | −0.292957 | + | 0.507417i | ||||
\(482\) | 411.150 | 0.853009 | ||||||||
\(483\) | 640.327 | + | 36.4608i | 1.32573 | + | 0.0754883i | ||||
\(484\) | −173.110 | −0.357664 | ||||||||
\(485\) | −684.610 | + | 158.404i | −1.41157 | + | 0.326606i | ||||
\(486\) | 510.614 | + | 589.591i | 1.05065 | + | 1.21315i | ||||
\(487\) | −728.584 | + | 420.648i | −1.49607 | + | 0.863754i | −0.999990 | − | 0.00452596i | \(-0.998559\pi\) |
−0.496075 | + | 0.868280i | \(0.665226\pi\) | |||||||
\(488\) | 77.5745 | − | 134.363i | 0.158964 | − | 0.275334i | ||||
\(489\) | 460.033 | − | 686.641i | 0.940764 | − | 1.40417i | ||||
\(490\) | −564.224 | + | 547.769i | −1.15148 | + | 1.11790i | ||||
\(491\) | − | 842.285i | − | 1.71545i | −0.514110 | − | 0.857724i | \(-0.671878\pi\) | ||
0.514110 | − | 0.857724i | \(-0.328122\pi\) | |||||||
\(492\) | −53.4623 | − | 108.751i | −0.108663 | − | 0.221039i | ||||
\(493\) | 393.344 | − | 227.097i | 0.797859 | − | 0.460644i | ||||
\(494\) | 474.911 | − | 274.190i | 0.961358 | − | 0.555040i | ||||
\(495\) | 317.513 | + | 447.026i | 0.641441 | + | 0.903082i | ||||
\(496\) | −18.2053 | −0.0367042 | ||||||||
\(497\) | −8.68990 | − | 14.7160i | −0.0174847 | − | 0.0296096i | ||||
\(498\) | −828.429 | − | 555.028i | −1.66351 | − | 1.11451i | ||||
\(499\) | −430.078 | + | 744.916i | −0.861879 | + | 1.49282i | 0.00823367 | + | 0.999966i | \(0.497379\pi\) |
−0.870113 | + | 0.492852i | \(0.835954\pi\) | |||||||
\(500\) | −281.251 | + | 735.879i | −0.562502 | + | 1.47176i | ||||
\(501\) | −1.63470 | + | 24.4748i | −0.00326287 | + | 0.0488518i | ||||
\(502\) | −559.048 | − | 322.767i | −1.11364 | − | 0.642961i | ||||
\(503\) | 639.911 | 1.27219 | 0.636095 | − | 0.771611i | \(-0.280549\pi\) | ||||
0.636095 | + | 0.771611i | \(0.280549\pi\) | |||||||
\(504\) | 428.810 | − | 181.312i | 0.850814 | − | 0.359746i | ||||
\(505\) | −523.405 | − | 560.738i | −1.03645 | − | 1.11037i | ||||
\(506\) | −1034.43 | − | 597.227i | −2.04432 | − | 1.18029i | ||||
\(507\) | 19.4357 | − | 290.992i | 0.0383347 | − | 0.573948i | ||||
\(508\) | 320.659 | − | 185.133i | 0.631219 | − | 0.364435i | ||||
\(509\) | −627.238 | − | 362.136i | −1.23230 | − | 0.711466i | −0.264787 | − | 0.964307i | \(-0.585302\pi\) |
−0.967508 | + | 0.252841i | \(0.918635\pi\) | |||||||
\(510\) | 503.275 | − | 81.5720i | 0.986813 | − | 0.159945i | ||||
\(511\) | 304.144 | − | 538.938i | 0.595195 | − | 1.05467i | ||||
\(512\) | 95.1944 | 0.185927 | ||||||||
\(513\) | −407.995 | − | 360.501i | −0.795313 | − | 0.702731i | ||||
\(514\) | −406.367 | − | 703.848i | −0.790597 | − | 1.36935i | ||||
\(515\) | 207.304 | − | 679.239i | 0.402533 | − | 1.31891i | ||||
\(516\) | 167.019 | + | 339.744i | 0.323680 | + | 0.658419i | ||||
\(517\) | 289.363i | 0.559697i | ||||||||
\(518\) | 367.306 | − | 650.859i | 0.709085 | − | 1.25649i | ||||
\(519\) | 211.903 | + | 141.970i | 0.408292 | + | 0.273546i | ||||
\(520\) | −305.006 | + | 70.5718i | −0.586550 | + | 0.135715i | ||||
\(521\) | 426.309 | − | 246.130i | 0.818251 | − | 0.472418i | −0.0315618 | − | 0.999502i | \(-0.510048\pi\) |
0.849813 | + | 0.527084i | \(0.176715\pi\) | |||||||
\(522\) | 981.100 | + | 756.705i | 1.87950 | + | 1.44963i | ||||
\(523\) | −51.6590 | − | 29.8254i | −0.0987744 | − | 0.0570274i | 0.449799 | − | 0.893130i | \(-0.351496\pi\) |
−0.548574 | + | 0.836102i | \(0.684829\pi\) | |||||||
\(524\) | 507.291i | 0.968113i | ||||||||
\(525\) | −418.159 | − | 317.440i | −0.796494 | − | 0.604647i | ||||
\(526\) | −583.858 | −1.11000 | ||||||||
\(527\) | −64.7055 | + | 112.073i | −0.122781 | + | 0.212663i | ||||
\(528\) | 54.3342 | + | 3.62905i | 0.102906 | + | 0.00687319i | ||||
\(529\) | −201.882 | − | 349.669i | −0.381629 | − | 0.661001i | ||||
\(530\) | −317.906 | − | 1373.97i | −0.599823 | − | 2.59239i | ||||
\(531\) | −403.574 | + | 165.992i | −0.760026 | + | 0.312603i | ||||
\(532\) | −766.010 | + | 452.336i | −1.43987 | + | 0.850255i | ||||
\(533\) | −54.3044 | −0.101884 | ||||||||
\(534\) | 266.344 | + | 541.788i | 0.498772 | + | 1.01459i | ||||
\(535\) | −273.002 | − | 83.3205i | −0.510284 | − | 0.155739i | ||||
\(536\) | 144.972 | − | 83.6995i | 0.270470 | − | 0.156156i | ||||
\(537\) | 163.890 | + | 333.380i | 0.305196 | + | 0.620820i | ||||
\(538\) | 833.196i | 1.54869i | ||||||||
\(539\) | 11.7165 | + | 596.936i | 0.0217375 | + | 1.10749i | ||||
\(540\) | 445.364 | + | 724.943i | 0.824749 | + | 1.34249i | ||||
\(541\) | 276.972 | − | 479.729i | 0.511962 | − | 0.886745i | −0.487941 | − | 0.872876i | \(-0.662252\pi\) |
0.999904 | − | 0.0138685i | \(-0.00441463\pi\) | |||||||
\(542\) | −56.9766 | − | 98.6863i | −0.105123 | − | 0.182078i | ||||
\(543\) | −33.8281 | + | 506.476i | −0.0622986 | + | 0.932737i | ||||
\(544\) | 181.829 | − | 314.938i | 0.334245 | − | 0.578929i | ||||
\(545\) | 647.945 | − | 604.806i | 1.18889 | − | 1.10974i | ||||
\(546\) | 32.4662 | − | 570.173i | 0.0594619 | − | 1.04427i | ||||
\(547\) | 109.968i | 0.201039i | 0.994935 | + | 0.100520i | \(0.0320505\pi\) | ||||
−0.994935 | + | 0.100520i | \(0.967949\pi\) | |||||||
\(548\) | −37.5444 | + | 65.0288i | −0.0685117 | + | 0.118666i | ||||
\(549\) | −115.398 | + | 149.619i | −0.210198 | + | 0.272530i | ||||
\(550\) | 429.465 | + | 878.372i | 0.780845 | + | 1.59704i | ||||
\(551\) | −749.010 | − | 432.441i | −1.35936 | − | 0.784830i | ||||
\(552\) | −562.514 | − | 376.872i | −1.01905 | − | 0.682739i | ||||
\(553\) | −0.439970 | − | 44.8357i | −0.000795605 | − | 0.0810772i | ||||
\(554\) | 1149.54i | 2.07498i | ||||||||
\(555\) | 466.443 | + | 177.124i | 0.840437 | + | 0.319142i | ||||
\(556\) | −397.476 | − | 688.448i | −0.714885 | − | 1.23822i | ||||
\(557\) | −226.708 | − | 392.669i | −0.407015 | − | 0.704971i | 0.587538 | − | 0.809196i | \(-0.300097\pi\) |
−0.994554 | + | 0.104225i | \(0.966764\pi\) | |||||||
\(558\) | −349.889 | − | 46.9485i | −0.627042 | − | 0.0841371i | ||||
\(559\) | 169.650 | 0.303488 | ||||||||
\(560\) | −50.6802 | + | 12.2514i | −0.0905003 | + | 0.0218776i | ||||
\(561\) | 215.456 | − | 321.587i | 0.384057 | − | 0.573239i | ||||
\(562\) | −539.049 | − | 311.220i | −0.959161 | − | 0.553772i | ||||
\(563\) | −25.2929 | − | 43.8087i | −0.0449253 | − | 0.0778129i | 0.842688 | − | 0.538402i | \(-0.180972\pi\) |
−0.887614 | + | 0.460589i | \(0.847638\pi\) | |||||||
\(564\) | −29.9230 | + | 448.008i | −0.0530549 | + | 0.794340i | ||||
\(565\) | −9.80691 | − | 42.3847i | −0.0173574 | − | 0.0750172i | ||||
\(566\) | − | 411.725i | − | 0.727430i | ||||||
\(567\) | −546.963 | + | 149.401i | −0.964661 | + | 0.263494i | ||||
\(568\) | 18.0422i | 0.0317644i | ||||||||
\(569\) | 767.186 | + | 442.935i | 1.34831 | + | 0.778445i | 0.988010 | − | 0.154392i | \(-0.0493420\pi\) |
0.360297 | + | 0.932838i | \(0.382675\pi\) | |||||||
\(570\) | −613.690 | − | 752.282i | −1.07665 | − | 1.31979i | ||||
\(571\) | −479.840 | − | 831.107i | −0.840350 | − | 1.45553i | −0.889599 | − | 0.456742i | \(-0.849016\pi\) |
0.0492497 | − | 0.998786i | \(-0.484317\pi\) | |||||||
\(572\) | −325.320 | + | 563.470i | −0.568741 | + | 0.985088i | ||||
\(573\) | −213.253 | + | 318.298i | −0.372169 | + | 0.555495i | ||||
\(574\) | 143.999 | − | 1.41305i | 0.250869 | − | 0.00246176i | ||||
\(575\) | −52.5231 | + | 761.721i | −0.0913446 | + | 1.32473i | ||||
\(576\) | 930.073 | + | 124.798i | 1.61471 | + | 0.216663i | ||||
\(577\) | 265.694 | − | 153.399i | 0.460476 | − | 0.265856i | −0.251769 | − | 0.967787i | \(-0.581012\pi\) |
0.712244 | + | 0.701932i | \(0.247679\pi\) | |||||||
\(578\) | 283.840 | + | 491.624i | 0.491072 | + | 0.850561i | ||||
\(579\) | −163.586 | − | 332.761i | −0.282532 | − | 0.574717i | ||||
\(580\) | 922.248 | + | 988.030i | 1.59008 | + | 1.70350i | ||||
\(581\) | 624.195 | − | 368.593i | 1.07435 | − | 0.634411i | ||||
\(582\) | −753.240 | + | 1124.28i | −1.29423 | + | 1.93175i | ||||
\(583\) | −927.274 | − | 535.362i | −1.59052 | − | 0.918288i | ||||
\(584\) | −565.783 | + | 326.655i | −0.968806 | + | 0.559340i | ||||
\(585\) | 379.589 | − | 35.7841i | 0.648869 | − | 0.0611694i | ||||
\(586\) | −691.559 | + | 1197.81i | −1.18013 | + | 2.04405i | ||||
\(587\) | 336.767 | 0.573708 | 0.286854 | − | 0.957974i | \(-0.407390\pi\) | ||||
0.286854 | + | 0.957974i | \(0.407390\pi\) | |||||||
\(588\) | −43.5889 | + | 925.421i | −0.0741307 | + | 1.57384i | ||||
\(589\) | 246.426 | 0.418380 | ||||||||
\(590\) | −758.112 | + | 175.411i | −1.28494 | + | 0.297307i | ||||
\(591\) | 4.50996 | − | 67.5233i | 0.00763107 | − | 0.114253i | ||||
\(592\) | 42.9132 | − | 24.7760i | 0.0724885 | − | 0.0418513i | ||||
\(593\) | −556.222 | + | 963.405i | −0.937980 | + | 1.62463i | −0.168748 | + | 0.985659i | \(0.553972\pi\) |
−0.769232 | + | 0.638970i | \(0.779361\pi\) | |||||||
\(594\) | 1034.90 | + | 209.866i | 1.74225 | + | 0.353310i | ||||
\(595\) | −104.707 | + | 355.535i | −0.175979 | + | 0.597538i | ||||
\(596\) | − | 726.966i | − | 1.21974i | ||||||
\(597\) | 92.9351 | − | 45.6871i | 0.155670 | − | 0.0765278i | ||||
\(598\) | −719.294 | + | 415.285i | −1.20283 | + | 0.694456i | ||||
\(599\) | −514.713 | + | 297.170i | −0.859287 | + | 0.496110i | −0.863773 | − | 0.503880i | \(-0.831905\pi\) |
0.00448642 | + | 0.999990i | \(0.498572\pi\) | |||||||
\(600\) | 209.724 | + | 513.034i | 0.349540 | + | 0.855057i | ||||
\(601\) | 434.293 | 0.722617 | 0.361309 | − | 0.932446i | \(-0.382330\pi\) | ||||
0.361309 | + | 0.932446i | \(0.382330\pi\) | |||||||
\(602\) | −449.859 | + | 4.41444i | −0.747275 | + | 0.00733295i | ||||
\(603\) | −188.545 | + | 77.5496i | −0.312678 | + | 0.128606i | ||||
\(604\) | 881.069 | − | 1526.06i | 1.45872 | − | 2.52658i | ||||
\(605\) | 131.356 | + | 40.0899i | 0.217117 | + | 0.0662642i | ||||
\(606\) | −1473.95 | − | 98.4467i | −2.43226 | − | 0.162453i | ||||
\(607\) | 783.964 | + | 452.622i | 1.29154 | + | 0.745670i | 0.978927 | − | 0.204211i | \(-0.0654628\pi\) |
0.312612 | + | 0.949881i | \(0.398796\pi\) | |||||||
\(608\) | −692.482 | −1.13895 | ||||||||
\(609\) | −804.379 | + | 405.283i | −1.32082 | + | 0.665489i | ||||
\(610\) | −246.307 | + | 229.908i | −0.403782 | + | 0.376899i | ||||
\(611\) | 174.253 | + | 100.605i | 0.285193 | + | 0.164656i | ||||
\(612\) | 366.836 | − | 475.618i | 0.599405 | − | 0.777154i | ||||
\(613\) | 595.512 | − | 343.819i | 0.971472 | − | 0.560879i | 0.0717871 | − | 0.997420i | \(-0.477130\pi\) |
0.899685 | + | 0.436541i | \(0.143796\pi\) | |||||||
\(614\) | 568.875 | + | 328.440i | 0.926507 | + | 0.534919i | ||||
\(615\) | 15.3819 | + | 94.9016i | 0.0250112 | + | 0.154312i | ||||
\(616\) | 309.784 | − | 548.931i | 0.502896 | − | 0.891122i | ||||
\(617\) | 205.651 | 0.333308 | 0.166654 | − | 0.986015i | \(-0.446704\pi\) | ||||
0.166654 | + | 0.986015i | \(0.446704\pi\) | |||||||
\(618\) | −603.381 | − | 1227.38i | −0.976344 | − | 1.98605i | ||||
\(619\) | 428.521 | + | 742.221i | 0.692280 | + | 1.19906i | 0.971089 | + | 0.238718i | \(0.0767271\pi\) |
−0.278809 | + | 0.960347i | \(0.589940\pi\) | |||||||
\(620\) | −368.323 | − | 112.412i | −0.594069 | − | 0.181310i | ||||
\(621\) | 617.945 | + | 546.011i | 0.995081 | + | 0.879245i | ||||
\(622\) | − | 1254.56i | − | 2.01697i | ||||||
\(623\) | −438.855 | + | 4.30645i | −0.704422 | + | 0.00691244i | ||||
\(624\) | 21.0762 | − | 31.4580i | 0.0337759 | − | 0.0504135i | ||||
\(625\) | 383.833 | − | 493.251i | 0.614133 | − | 0.789202i | ||||
\(626\) | 713.402 | − | 411.883i | 1.13962 | − | 0.657960i | ||||
\(627\) | −735.464 | − | 49.1225i | −1.17299 | − | 0.0783453i | ||||
\(628\) | 147.428 | + | 85.1177i | 0.234758 | + | 0.135538i | ||||
\(629\) | − | 352.236i | − | 0.559994i | ||||||
\(630\) | −1005.62 | + | 104.766i | −1.59623 | + | 0.166295i | ||||
\(631\) | −464.352 | −0.735899 | −0.367949 | − | 0.929846i | \(-0.619940\pi\) | ||||
−0.367949 | + | 0.929846i | \(0.619940\pi\) | |||||||
\(632\) | −23.6678 | + | 40.9938i | −0.0374491 | + | 0.0648637i | ||||
\(633\) | 15.2090 | − | 227.710i | 0.0240269 | − | 0.359732i | ||||
\(634\) | 513.254 | + | 888.983i | 0.809550 | + | 1.40218i | ||||
\(635\) | −286.191 | + | 66.2184i | −0.450694 | + | 0.104281i | ||||
\(636\) | −1380.29 | − | 924.766i | −2.17027 | − | 1.45403i | ||||
\(637\) | 363.545 | + | 200.486i | 0.570715 | + | 0.314734i | ||||
\(638\) | 1677.45 | 2.62923 | ||||||||
\(639\) | 2.92218 | − | 21.7779i | 0.00457305 | − | 0.0340812i | ||||
\(640\) | 943.559 | + | 287.975i | 1.47431 | + | 0.449961i | ||||
\(641\) | −144.334 | + | 83.3312i | −0.225170 | + | 0.130002i | −0.608342 | − | 0.793675i | \(-0.708165\pi\) |
0.383172 | + | 0.923677i | \(0.374832\pi\) | |||||||
\(642\) | −493.312 | + | 242.513i | −0.768398 | + | 0.377746i | ||||
\(643\) | 643.063i | 1.00010i | 0.865997 | + | 0.500049i | \(0.166685\pi\) | ||||
−0.865997 | + | 0.500049i | \(0.833315\pi\) | |||||||
\(644\) | 1160.19 | − | 685.102i | 1.80154 | − | 1.06382i | ||||
\(645\) | −48.0538 | − | 296.477i | −0.0745020 | − | 0.459655i | ||||
\(646\) | −342.693 | + | 593.562i | −0.530485 | + | 0.918827i | ||||
\(647\) | 86.4616 | + | 149.756i | 0.133635 | + | 0.231462i | 0.925075 | − | 0.379784i | \(-0.124002\pi\) |
−0.791440 | + | 0.611246i | \(0.790668\pi\) | |||||||
\(648\) | 577.412 | + | 157.797i | 0.891068 | + | 0.243513i | ||||
\(649\) | −295.397 | + | 511.642i | −0.455157 | + | 0.788354i | ||||
\(650\) | 678.266 | + | 46.7687i | 1.04349 | + | 0.0719518i | ||||
\(651\) | 140.744 | − | 214.597i | 0.216197 | − | 0.329643i | ||||
\(652\) | − | 1736.30i | − | 2.66304i | ||||||
\(653\) | 514.097 | − | 890.443i | 0.787285 | − | 1.36362i | −0.140339 | − | 0.990104i | \(-0.544819\pi\) |
0.927624 | − | 0.373515i | \(-0.121847\pi\) | |||||||
\(654\) | 113.757 | − | 1703.18i | 0.173941 | − | 2.60425i | ||||
\(655\) | 117.482 | − | 384.933i | 0.179362 | − | 0.587684i | ||||
\(656\) | 8.26888 | + | 4.77404i | 0.0126050 | + | 0.00727750i | ||||
\(657\) | 735.836 | − | 302.653i | 1.11999 | − | 0.460660i | ||||
\(658\) | −464.684 | − | 262.240i | −0.706206 | − | 0.398540i | ||||
\(659\) | 494.948i | 0.751059i | 0.926810 | + | 0.375530i | \(0.122539\pi\) | ||||
−0.926810 | + | 0.375530i | \(0.877461\pi\) | |||||||
\(660\) | 1076.86 | + | 408.919i | 1.63161 | + | 0.619575i | ||||
\(661\) | 190.532 | + | 330.011i | 0.288248 | + | 0.499261i | 0.973392 | − | 0.229147i | \(-0.0735938\pi\) |
−0.685143 | + | 0.728408i | \(0.740260\pi\) | |||||||
\(662\) | −462.921 | − | 801.803i | −0.699276 | − | 1.21118i | ||||
\(663\) | −118.749 | − | 241.555i | −0.179108 | − | 0.364336i | ||||
\(664\) | −765.282 | −1.15253 | ||||||||
\(665\) | 686.003 | − | 165.835i | 1.03158 | − | 0.249375i | ||||
\(666\) | 888.646 | − | 365.505i | 1.33430 | − | 0.548807i | ||||
\(667\) | 1134.44 | + | 654.970i | 1.70081 | + | 0.981964i | ||||
\(668\) | 25.7654 | + | 44.6270i | 0.0385710 | + | 0.0668069i | ||||
\(669\) | −936.128 | − | 62.5251i | −1.39929 | − | 0.0934605i | ||||
\(670\) | −354.181 | + | 81.9499i | −0.528628 | + | 0.122313i | ||||
\(671\) | 255.813i | 0.381242i | ||||||||
\(672\) | −395.506 | + | 603.041i | −0.588551 | + | 0.897383i | ||||
\(673\) | − | 617.578i | − | 0.917649i | −0.888527 | − | 0.458825i | \(-0.848271\pi\) | ||
0.888527 | − | 0.458825i | \(-0.151729\pi\) | |||||||
\(674\) | −1057.73 | − | 610.680i | −1.56933 | − | 0.906053i | ||||
\(675\) | −170.055 | − | 653.228i | −0.251934 | − | 0.967744i | ||||
\(676\) | −306.337 | − | 530.591i | −0.453161 | − | 0.784897i | ||||
\(677\) | −150.968 | + | 261.485i | −0.222996 | + | 0.386241i | −0.955716 | − | 0.294289i | \(-0.904917\pi\) |
0.732720 | + | 0.680530i | \(0.238250\pi\) | |||||||
\(678\) | −69.6047 | − | 46.6336i | −0.102662 | − | 0.0687811i | ||||
\(679\) | −500.224 | − | 847.107i | −0.736707 | − | 1.24758i | ||||
\(680\) | 286.035 | − | 266.991i | 0.420639 | − | 0.392634i | ||||
\(681\) | 185.535 | − | 91.2092i | 0.272445 | − | 0.133934i | ||||
\(682\) | −413.913 | + | 238.973i | −0.606911 | + | 0.350400i | ||||
\(683\) | 45.4093 | + | 78.6511i | 0.0664850 | + | 0.115155i | 0.897352 | − | 0.441316i | \(-0.145488\pi\) |
−0.830867 | + | 0.556471i | \(0.812155\pi\) | |||||||
\(684\) | −1133.61 | − | 152.108i | −1.65732 | − | 0.222380i | ||||
\(685\) | 43.5485 | − | 40.6491i | 0.0635744 | − | 0.0593417i | ||||
\(686\) | −969.229 | − | 522.167i | −1.41287 | − | 0.761176i | ||||
\(687\) | 857.737 | + | 574.664i | 1.24853 | + | 0.836484i | ||||
\(688\) | −25.8324 | − | 14.9143i | −0.0375471 | − | 0.0216778i | ||||
\(689\) | −644.784 | + | 372.266i | −0.935827 | + | 0.540300i | ||||
\(690\) | 929.488 | + | 1139.40i | 1.34708 | + | 1.65130i | ||||
\(691\) | −492.003 | + | 852.173i | −0.712015 | + | 1.23325i | 0.252084 | + | 0.967705i | \(0.418884\pi\) |
−0.964099 | + | 0.265541i | \(0.914449\pi\) | |||||||
\(692\) | 535.839 | 0.774334 | ||||||||
\(693\) | −462.833 | + | 612.416i | −0.667868 | + | 0.883717i | ||||
\(694\) | −547.919 | −0.789509 | ||||||||
\(695\) | 142.169 | + | 614.445i | 0.204560 | + | 0.884093i | ||||
\(696\) | 948.772 | + | 63.3696i | 1.36318 | + | 0.0910483i | ||||
\(697\) | 58.7787 | − | 33.9359i | 0.0843310 | − | 0.0486886i | ||||
\(698\) | −881.307 | + | 1526.47i | −1.26262 | + | 2.18692i | ||||
\(699\) | 99.7454 | + | 66.8271i | 0.142697 | + | 0.0956039i | ||||
\(700\) | −1100.99 | − | 65.0690i | −1.57285 | − | 0.0929557i | ||||
\(701\) | 446.823i | 0.637408i | 0.947854 | + | 0.318704i | \(0.103248\pi\) | ||||
−0.947854 | + | 0.318704i | \(0.896752\pi\) | |||||||
\(702\) | 486.190 | − | 550.243i | 0.692578 | − | 0.783822i | ||||
\(703\) | −580.870 | + | 335.366i | −0.826274 | + | 0.477049i | ||||
\(704\) | 1100.26 | − | 635.236i | 1.56287 | − | 0.902323i | ||||
\(705\) | 126.458 | − | 333.019i | 0.179373 | − | 0.472367i | ||||
\(706\) | 986.175 | 1.39685 | ||||||||
\(707\) | 527.790 | − | 935.234i | 0.746521 | − | 1.32282i | ||||
\(708\) | −510.258 | + | 761.605i | −0.720703 | + | 1.07571i | ||||
\(709\) | −574.318 | + | 994.748i | −0.810040 | + | 1.40303i | 0.102796 | + | 0.994702i | \(0.467221\pi\) |
−0.912836 | + | 0.408327i | \(0.866112\pi\) | |||||||
\(710\) | 11.4376 | − | 37.4755i | 0.0161092 | − | 0.0527824i | ||||
\(711\) | 35.2078 | − | 45.6484i | 0.0495187 | − | 0.0642031i | ||||
\(712\) | 401.250 | + | 231.662i | 0.563554 | + | 0.325368i | ||||
\(713\) | −373.233 | −0.523469 | ||||||||
\(714\) | 321.171 | + | 637.440i | 0.449820 | + | 0.892773i | ||||
\(715\) | 377.345 | − | 352.222i | 0.527755 | − | 0.492618i | ||||
\(716\) | 675.859 | + | 390.207i | 0.943937 | + | 0.544982i | ||||
\(717\) | −1022.92 | − | 68.3223i | −1.42667 | − | 0.0952891i | ||||
\(718\) | 302.691 | − | 174.759i | 0.421576 | − | 0.243397i | ||||
\(719\) | −867.476 | − | 500.837i | −1.20650 | − | 0.696575i | −0.244510 | − | 0.969647i | \(-0.578627\pi\) |
−0.961994 | + | 0.273072i | \(0.911960\pi\) | |||||||
\(720\) | −60.9455 | − | 27.9218i | −0.0846465 | − | 0.0387803i | ||||
\(721\) | 994.189 | − | 9.75591i | 1.37890 | − | 0.0135311i | ||||
\(722\) | 146.408 | 0.202781 | ||||||||
\(723\) | −344.866 | + | 169.537i | −0.476993 | + | 0.234491i | ||||
\(724\) | 533.184 | + | 923.502i | 0.736442 | + | 1.27556i | ||||
\(725\) | −470.988 | − | 963.298i | −0.649638 | − | 1.32869i | ||||
\(726\) | 237.358 | − | 116.686i | 0.326940 | − | 0.160724i | ||||
\(727\) | − | 160.419i | − | 0.220659i | −0.993895 | − | 0.110330i | \(-0.964809\pi\) | ||
0.993895 | − | 0.110330i | \(-0.0351906\pi\) | |||||||
\(728\) | −222.859 | − | 377.401i | −0.306125 | − | 0.518408i | ||||
\(729\) | −671.410 | − | 283.989i | −0.921001 | − | 0.389559i | ||||
\(730\) | 1382.27 | − | 319.826i | 1.89351 | − | 0.438118i | ||||
\(731\) | −183.628 | + | 106.018i | −0.251201 | + | 0.145031i | ||||
\(732\) | −26.4536 | + | 396.064i | −0.0361388 | + | 0.541071i | ||||
\(733\) | −336.580 | − | 194.325i | −0.459181 | − | 0.265109i | 0.252519 | − | 0.967592i | \(-0.418741\pi\) |
−0.711700 | + | 0.702484i | \(0.752074\pi\) | |||||||
\(734\) | 369.916i | 0.503973i | ||||||||
\(735\) | 247.390 | − | 692.115i | 0.336585 | − | 0.941653i | ||||
\(736\) | 1048.83 | 1.42503 | ||||||||
\(737\) | −138.006 | + | 239.033i | −0.187253 | + | 0.324332i | ||||
\(738\) | 146.609 | + | 113.077i | 0.198657 | + | 0.153221i | ||||
\(739\) | 599.057 | + | 1037.60i | 0.810631 | + | 1.40405i | 0.912423 | + | 0.409249i | \(0.134209\pi\) |
−0.101792 | + | 0.994806i | \(0.532457\pi\) | |||||||
\(740\) | 1021.19 | − | 236.281i | 1.37998 | − | 0.319299i | ||||
\(741\) | −285.285 | + | 425.814i | −0.385001 | + | 0.574647i | ||||
\(742\) | 1700.09 | − | 1003.92i | 2.29122 | − | 1.35299i | ||||
\(743\) | −592.907 | −0.797990 | −0.398995 | − | 0.916953i | \(-0.630641\pi\) | ||||
−0.398995 | + | 0.916953i | \(0.630641\pi\) | |||||||
\(744\) | −243.138 | + | 119.527i | −0.326799 | + | 0.160655i | ||||
\(745\) | −168.356 | + | 551.622i | −0.225981 | + | 0.740432i | ||||
\(746\) | 248.595 | − | 143.526i | 0.333237 | − | 0.192394i | ||||
\(747\) | 923.736 | + | 123.948i | 1.23659 | + | 0.165927i | ||||
\(748\) | − | 813.196i | − | 1.08716i | ||||||
\(749\) | −3.92113 | − | 399.588i | −0.00523515 | − | 0.533495i | ||||
\(750\) | −110.389 | − | 1198.58i | −0.147185 | − | 1.59810i | ||||
\(751\) | −86.7806 | + | 150.308i | −0.115553 | + | 0.200144i | −0.918001 | − | 0.396578i | \(-0.870197\pi\) |
0.802447 | + | 0.596723i | \(0.203531\pi\) | |||||||
\(752\) | −17.6889 | − | 30.6381i | −0.0235225 | − | 0.0407421i | ||||
\(753\) | 602.012 | + | 40.2091i | 0.799484 | + | 0.0533985i | ||||
\(754\) | 583.211 | − | 1010.15i | 0.773490 | − | 1.33972i | ||||
\(755\) | −1021.97 | + | 953.928i | −1.35360 | + | 1.26348i | ||||
\(756\) | −779.912 | + | 900.314i | −1.03163 | + | 1.19089i | ||||
\(757\) | 560.146i | 0.739956i | 0.929041 | + | 0.369978i | \(0.120635\pi\) | ||||
−0.929041 | + | 0.369978i | \(0.879365\pi\) | |||||||
\(758\) | −354.723 | + | 614.399i | −0.467973 | + | 0.810553i | ||||
\(759\) | 1113.93 | + | 74.4004i | 1.46762 | + | 0.0980242i | ||||
\(760\) | −712.628 | − | 217.495i | −0.937668 | − | 0.286177i | ||||
\(761\) | 450.545 | + | 260.123i | 0.592044 | + | 0.341817i | 0.765905 | − | 0.642953i | \(-0.222291\pi\) |
−0.173861 | + | 0.984770i | \(0.555624\pi\) | |||||||
\(762\) | −314.880 | + | 469.986i | −0.413228 | + | 0.616780i | ||||
\(763\) | 1080.68 | + | 609.873i | 1.41636 | + | 0.799309i | ||||
\(764\) | 804.880i | 1.05351i | ||||||||
\(765\) | −388.502 | + | 275.945i | −0.507846 | + | 0.360712i | ||||
\(766\) | −300.381 | − | 520.275i | −0.392142 | − | 0.679210i | ||||
\(767\) | 205.405 | + | 355.773i | 0.267804 | + | 0.463849i | ||||
\(768\) | 582.137 | − | 286.180i | 0.757991 | − | 0.372630i | ||||
\(769\) | 67.9595 | 0.0883739 | 0.0441869 | − | 0.999023i | \(-0.485930\pi\) | ||||
0.0441869 | + | 0.999023i | \(0.485930\pi\) | |||||||
\(770\) | −991.439 | + | 943.804i | −1.28758 | + | 1.22572i | ||||
\(771\) | 631.083 | + | 422.811i | 0.818526 | + | 0.548394i | ||||
\(772\) | −674.604 | − | 389.483i | −0.873839 | − | 0.504511i | ||||
\(773\) | −108.399 | − | 187.753i | −0.140232 | − | 0.242889i | 0.787352 | − | 0.616504i | \(-0.211451\pi\) |
−0.927584 | + | 0.373615i | \(0.878118\pi\) | |||||||
\(774\) | −458.014 | − | 353.258i | −0.591749 | − | 0.456406i | ||||
\(775\) | 253.450 | + | 170.597i | 0.327032 | + | 0.220125i | ||||
\(776\) | 1038.58i | 1.33837i | ||||||||
\(777\) | −39.7099 | + | 697.387i | −0.0511067 | + | 0.897538i | ||||
\(778\) | 680.665i | 0.874891i | ||||||||
\(779\) | −111.927 | − | 64.6211i | −0.143680 | − | 0.0829539i | ||||
\(780\) | 620.649 | − | 506.308i | 0.795704 | − | 0.649112i | ||||
\(781\) | −14.8742 | − | 25.7629i | −0.0190451 | − | 0.0329871i | ||||
\(782\) | 519.040 | − | 899.003i | 0.663733 | − | 1.14962i | ||||
\(783\) | −1134.95 | − | 230.157i | −1.44949 | − | 0.293942i | ||||
\(784\) | −37.7315 | − | 62.4880i | −0.0481270 | − | 0.0797041i | ||||
\(785\) | −92.1564 | − | 98.7297i | −0.117397 | − | 0.125770i | ||||
\(786\) | −341.943 | − | 695.569i | −0.435042 | − | 0.884948i | ||||
\(787\) | −260.838 | + | 150.595i | −0.331434 | + | 0.191353i | −0.656478 | − | 0.754346i | \(-0.727954\pi\) |
0.325044 | + | 0.945699i | \(0.394621\pi\) | |||||||
\(788\) | −71.0841 | − | 123.121i | −0.0902082 | − | 0.156245i | ||||
\(789\) | 489.730 | − | 240.752i | 0.620697 | − | 0.305136i | ||||
\(790\) | 75.1478 | − | 70.1446i | 0.0951238 | − | 0.0887906i | ||||
\(791\) | 52.4450 | − | 30.9692i | 0.0663021 | − | 0.0391520i | ||||
\(792\) | 749.480 | − | 308.265i | 0.946313 | − | 0.389224i | ||||
\(793\) | 154.049 | + | 88.9405i | 0.194262 | + | 0.112157i | ||||
\(794\) | 1652.61 | − | 954.137i | 2.08138 | − | 1.20168i | ||||
\(795\) | 833.205 | + | 1021.37i | 1.04806 | + | 1.28474i | ||||
\(796\) | 108.777 | − | 188.406i | 0.136654 | − | 0.236692i | ||||
\(797\) | −170.307 | −0.213685 | −0.106842 | − | 0.994276i | \(-0.534074\pi\) | ||||
−0.106842 | + | 0.994276i | \(0.534074\pi\) | |||||||
\(798\) | 745.410 | − | 1136.55i | 0.934097 | − | 1.42425i | ||||
\(799\) | −251.480 | −0.314744 | ||||||||
\(800\) | −712.222 | − | 479.396i | −0.890277 | − | 0.599245i | ||||
\(801\) | −446.810 | − | 344.616i | −0.557815 | − | 0.430233i | ||||
\(802\) | −1284.88 | + | 741.828i | −1.60210 | + | 0.924972i | ||||
\(803\) | 538.596 | − | 932.876i | 0.670730 | − | 1.16174i | ||||
\(804\) | −238.386 | + | 355.813i | −0.296500 | + | 0.442553i | ||||
\(805\) | −1039.01 | + | 251.171i | −1.29070 | + | 0.312014i | ||||
\(806\) | 332.342i | 0.412335i | ||||||||
\(807\) | −343.566 | − | 698.871i | −0.425733 | − | 0.866011i | ||||
\(808\) | −981.818 | + | 566.853i | −1.21512 | + | 0.701550i | ||||
\(809\) | −746.188 | + | 430.812i | −0.922359 | + | 0.532524i | −0.884387 | − | 0.466755i | \(-0.845423\pi\) |
−0.0379720 | + | 0.999279i | \(0.512090\pi\) | |||||||
\(810\) | −1099.31 | − | 693.800i | −1.35717 | − | 0.856544i | ||||
\(811\) | −1511.93 | −1.86428 | −0.932140 | − | 0.362099i | \(-0.882060\pi\) | ||||
−0.932140 | + | 0.362099i | \(0.882060\pi\) | |||||||
\(812\) | −929.975 | + | 1647.90i | −1.14529 | + | 2.02943i | ||||
\(813\) | 88.4840 | + | 59.2822i | 0.108836 | + | 0.0729179i | ||||
\(814\) | 650.446 | − | 1126.61i | 0.799074 | − | 1.38404i | ||||
\(815\) | −402.105 | + | 1317.51i | −0.493380 | + | 1.61657i | ||||
\(816\) | −3.15394 | + | 47.2209i | −0.00386512 | + | 0.0578687i | ||||
\(817\) | 349.666 | + | 201.880i | 0.427987 | + | 0.247099i | ||||
\(818\) | 676.396 | 0.826890 | ||||||||
\(819\) | 207.877 | + | 491.638i | 0.253818 | + | 0.600291i | ||||
\(820\) | 137.815 | + | 147.645i | 0.168067 | + | 0.180054i | ||||
\(821\) | −155.662 | − | 89.8715i | −0.189600 | − | 0.109466i | 0.402195 | − | 0.915554i | \(-0.368247\pi\) |
−0.591795 | + | 0.806088i | \(0.701581\pi\) | |||||||
\(822\) | 7.64564 | − | 114.471i | 0.00930127 | − | 0.139259i | ||||
\(823\) | −302.773 | + | 174.806i | −0.367889 | + | 0.212401i | −0.672536 | − | 0.740065i | \(-0.734795\pi\) |
0.304647 | + | 0.952465i | \(0.401462\pi\) | |||||||
\(824\) | −909.000 | − | 524.811i | −1.10315 | − | 0.636907i | ||||
\(825\) | −722.422 | − | 559.675i | −0.875663 | − | 0.678394i | ||||
\(826\) | −553.930 | − | 938.056i | −0.670617 | − | 1.13566i | ||||
\(827\) | −104.693 | −0.126594 | −0.0632968 | − | 0.997995i | \(-0.520161\pi\) | ||||
−0.0632968 | + | 0.997995i | \(0.520161\pi\) | |||||||
\(828\) | 1716.95 | + | 230.381i | 2.07361 | + | 0.278238i | ||||
\(829\) | 309.970 | + | 536.884i | 0.373909 | + | 0.647629i | 0.990163 | − | 0.139918i | \(-0.0446840\pi\) |
−0.616254 | + | 0.787547i | \(0.711351\pi\) | |||||||
\(830\) | 1589.57 | + | 485.138i | 1.91514 | + | 0.584504i | ||||
\(831\) | −474.009 | − | 964.214i | −0.570408 | − | 1.16031i | ||||
\(832\) | − | 883.428i | − | 1.06181i | ||||||
\(833\) | −518.787 | + | 10.1826i | −0.622793 | + | 0.0122240i | ||||
\(834\) | 1009.05 | + | 676.040i | 1.20989 | + | 0.810600i | ||||
\(835\) | −9.21578 | − | 39.8299i | −0.0110369 | − | 0.0477005i | ||||
\(836\) | −1341.04 | + | 774.247i | −1.60411 | + | 0.926133i | ||||
\(837\) | 312.840 | − | 104.896i | 0.373764 | − | 0.125324i | ||||
\(838\) | −271.680 | − | 156.854i | −0.324200 | − | 0.187177i | ||||
\(839\) | 137.648i | 0.164062i | 0.996630 | + | 0.0820309i | \(0.0261406\pi\) | ||||
−0.996630 | + | 0.0820309i | \(0.973859\pi\) | |||||||
\(840\) | −596.416 | + | 496.365i | −0.710018 | + | 0.590910i | ||||
\(841\) | −998.635 | −1.18744 | ||||||||
\(842\) | −925.877 | + | 1603.67i | −1.09962 | + | 1.90459i | ||||
\(843\) | 580.475 | + | 38.7706i | 0.688583 | + | 0.0459913i | ||||
\(844\) | −239.718 | − | 415.204i | −0.284026 | − | 0.491948i | ||||
\(845\) | 109.571 | + | 473.556i | 0.129669 | + | 0.560421i | ||||
\(846\) | −260.954 | − | 634.453i | −0.308456 | − | 0.749944i | ||||
\(847\) | 1.88666 | + | 192.263i | 0.00222746 | + | 0.226993i | ||||
\(848\) | 130.908 | 0.154372 | ||||||||
\(849\) | 169.774 | + | 345.348i | 0.199969 | + | 0.406770i | ||||
\(850\) | −763.378 | + | 373.240i | −0.898091 | + | 0.439106i | ||||
\(851\) | 879.779 | − | 507.941i | 1.03382 | − | 0.596875i | ||||
\(852\) | −20.3649 | − | 41.4256i | −0.0239025 | − | 0.0486216i | ||||
\(853\) | 193.568i | 0.226926i | 0.993542 | + | 0.113463i | \(0.0361943\pi\) | ||||
−0.993542 | + | 0.113463i | \(0.963806\pi\) | |||||||
\(854\) | −410.806 | − | 231.835i | −0.481038 | − | 0.271469i | ||||
\(855\) | 824.954 | + | 377.948i | 0.964858 | + | 0.442044i | ||||
\(856\) | −210.934 | + | 365.348i | −0.246418 | + | 0.426809i | ||||
\(857\) | 206.116 | + | 357.004i | 0.240509 | + | 0.416574i | 0.960859 | − | 0.277036i | \(-0.0893523\pi\) |
−0.720350 | + | 0.693610i | \(0.756019\pi\) | |||||||
\(858\) | 66.2490 | − | 991.883i | 0.0772133 | − | 1.15604i | ||||
\(859\) | 694.910 | − | 1203.62i | 0.808975 | − | 1.40119i | −0.104599 | − | 0.994514i | \(-0.533356\pi\) |
0.913574 | − | 0.406672i | \(-0.133311\pi\) | |||||||
\(860\) | −430.540 | − | 461.249i | −0.500628 | − | 0.536336i | ||||
\(861\) | −120.201 | + | 60.5627i | −0.139606 | + | 0.0703400i | ||||
\(862\) | 541.791i | 0.628528i | ||||||||
\(863\) | 352.319 | − | 610.235i | 0.408250 | − | 0.707109i | −0.586444 | − | 0.809990i | \(-0.699473\pi\) |
0.994694 | + | 0.102881i | \(0.0328060\pi\) | |||||||
\(864\) | −879.114 | + | 294.770i | −1.01749 | + | 0.341169i | ||||
\(865\) | −406.595 | − | 124.093i | −0.470052 | − | 0.143460i | ||||
\(866\) | 914.432 | + | 527.948i | 1.05593 | + | 0.609639i | ||||
\(867\) | −440.800 | − | 295.326i | −0.508419 | − | 0.340629i | ||||
\(868\) | −5.29022 | − | 539.107i | −0.00609472 | − | 0.621091i | ||||
\(869\) | − | 78.0481i | − | 0.0898137i | ||||||
\(870\) | −1930.52 | − | 733.083i | −2.21899 | − | 0.842624i | ||||
\(871\) | 95.9629 | + | 166.213i | 0.110176 | + | 0.190830i | ||||
\(872\) | −655.011 | − | 1134.51i | −0.751159 | − | 1.30105i | ||||
\(873\) | 168.212 | − | 1253.62i | 0.192683 | − | 1.43599i | ||||
\(874\) | −1976.72 | −2.26169 | ||||||||
\(875\) | 820.364 | + | 304.349i | 0.937558 | + | 0.347828i | ||||
\(876\) | 930.352 | − | 1388.63i | 1.06205 | − | 1.58520i | ||||
\(877\) | 202.147 | + | 116.710i | 0.230499 | + | 0.133079i | 0.610802 | − | 0.791783i | \(-0.290847\pi\) |
−0.380303 | + | 0.924862i | \(0.624180\pi\) | |||||||
\(878\) | 353.182 | + | 611.728i | 0.402257 | + | 0.696729i | ||||
\(879\) | 86.1518 | − | 1289.87i | 0.0980112 | − | 1.46743i | ||||
\(880\) | −88.4227 | + | 20.4591i | −0.100480 | + | 0.0232490i | ||||
\(881\) | 160.437i | 0.182107i | 0.995846 | + | 0.0910537i | \(0.0290235\pi\) | ||||
−0.995846 | + | 0.0910537i | \(0.970977\pi\) | |||||||
\(882\) | −564.020 | − | 1298.27i | −0.639478 | − | 1.47196i | ||||
\(883\) | − | 1106.33i | − | 1.25293i | −0.779451 | − | 0.626463i | \(-0.784502\pi\) | ||
0.779451 | − | 0.626463i | \(-0.215498\pi\) | |||||||
\(884\) | −489.702 | − | 282.730i | −0.553962 | − | 0.319830i | ||||
\(885\) | 563.561 | − | 459.737i | 0.636792 | − | 0.519477i | ||||
\(886\) | 314.566 | + | 544.845i | 0.355041 | + | 0.614949i | ||||
\(887\) | 572.741 | − | 992.017i | 0.645706 | − | 1.11840i | −0.338432 | − | 0.940991i | \(-0.609896\pi\) |
0.984138 | − | 0.177405i | \(-0.0567702\pi\) | |||||||
\(888\) | 410.455 | − | 612.640i | 0.462224 | − | 0.689910i | ||||
\(889\) | −209.111 | − | 354.120i | −0.235220 | − | 0.398335i | ||||
\(890\) | −686.580 | − | 735.552i | −0.771438 | − | 0.826463i | ||||
\(891\) | −954.590 | + | 250.704i | −1.07137 | + | 0.281374i | ||||
\(892\) | −1706.92 | + | 985.493i | −1.91359 | + | 1.10481i | ||||
\(893\) | 239.436 | + | 414.715i | 0.268125 | + | 0.464406i | ||||
\(894\) | 490.016 | + | 996.774i | 0.548117 | + | 1.11496i | ||||
\(895\) | −422.475 | − | 452.609i | −0.472039 | − | 0.505709i | ||||
\(896\) | 13.5523 | + | 1381.07i | 0.0151254 | + | 1.54137i | ||||
\(897\) | 432.090 | − | 644.932i | 0.481706 | − | 0.718988i | ||||
\(898\) | 1207.10 | + | 696.917i | 1.34421 | + | 0.776077i | ||||
\(899\) | 453.932 | − | 262.078i | 0.504930 | − | 0.291522i | ||||
\(900\) | −1060.62 | − | 941.224i | −1.17846 | − | 1.04580i | ||||
\(901\) | 465.274 | − | 805.878i | 0.516397 | − | 0.894426i | ||||
\(902\) | 250.667 | 0.277901 | ||||||||
\(903\) | 375.514 | − | 189.201i | 0.415851 | − | 0.209525i | ||||
\(904\) | −64.2991 | −0.0711273 | ||||||||
\(905\) | −190.710 | − | 824.232i | −0.210729 | − | 0.910754i | ||||
\(906\) | −179.423 | + | 2686.33i | −0.198039 | + | 2.96505i | ||||
\(907\) | 460.354 | − | 265.785i | 0.507557 | − | 0.293038i | −0.224272 | − | 0.974527i | \(-0.572000\pi\) |
0.731829 | + | 0.681489i | \(0.238667\pi\) | |||||||
\(908\) | 217.160 | − | 376.133i | 0.239163 | − | 0.414243i | ||||
\(909\) | 1276.92 | − | 525.203i | 1.40475 | − | 0.577781i | ||||
\(910\) | 223.653 | + | 925.178i | 0.245772 | + | 1.01668i | ||||
\(911\) | − | 996.269i | − | 1.09360i | −0.837263 | − | 0.546800i | \(-0.815846\pi\) | ||
0.837263 | − | 0.546800i | \(-0.184154\pi\) | |||||||
\(912\) | 80.8745 | − | 39.7581i | 0.0886782 | − | 0.0435944i | ||||
\(913\) | 1092.76 | − | 630.908i | 1.19689 | − | 0.691027i | ||||
\(914\) | −59.3972 | + | 34.2930i | −0.0649860 | + | 0.0375197i | ||||
\(915\) | 111.796 | − | 294.407i | 0.122182 | − | 0.321757i | ||||
\(916\) | 2168.96 | 2.36786 | ||||||||
\(917\) | 563.419 | − | 5.52879i | 0.614416 | − | 0.00602922i | ||||
\(918\) | −182.391 | + | 899.409i | −0.198683 | + | 0.979749i | ||||
\(919\) | 230.450 | − | 399.151i | 0.250761 | − | 0.434331i | −0.712974 | − | 0.701190i | \(-0.752652\pi\) |
0.963736 | + | 0.266859i | \(0.0859857\pi\) | |||||||
\(920\) | 1079.34 | + | 329.415i | 1.17319 | + | 0.358060i | ||||
\(921\) | −612.594 | − | 40.9159i | −0.665140 | − | 0.0444255i | ||||
\(922\) | −2110.56 | − | 1218.53i | −2.28911 | − | 1.32162i | ||||
\(923\) | −20.6857 | −0.0224114 | ||||||||
\(924\) | −91.6768 | + | 1610.03i | −0.0992174 | + | 1.74246i | ||||
\(925\) | −829.598 | − | 57.2034i | −0.896862 | − | 0.0618416i | ||||
\(926\) | −673.315 | − | 388.738i | −0.727122 | − | 0.419804i | ||||
\(927\) | 1012.21 | + | 780.700i | 1.09192 | + | 0.842179i | ||||
\(928\) | −1275.60 | + | 736.467i | −1.37457 | + | 0.793607i | ||||
\(929\) | 671.881 | + | 387.911i | 0.723230 | + | 0.417557i | 0.815941 | − | 0.578136i | \(-0.196220\pi\) |
−0.0927101 | + | 0.995693i | \(0.529553\pi\) | |||||||
\(930\) | 580.796 | − | 94.1368i | 0.624512 | − | 0.101222i | ||||
\(931\) | 510.731 | + | 845.833i | 0.548584 | + | 0.908521i | ||||
\(932\) | 252.226 | 0.270628 | ||||||||
\(933\) | 517.313 | + | 1052.30i | 0.554462 | + | 1.12787i | ||||
\(934\) | 667.426 | + | 1156.02i | 0.714589 | + | 1.23770i | ||||
\(935\) | −188.325 | + | 617.053i | −0.201417 | + | 0.659950i | ||||
\(936\) | 74.9414 | − | 558.510i | 0.0800656 | − | 0.596698i | ||||
\(937\) | 1641.61i | 1.75198i | 0.482328 | + | 0.875991i | \(0.339791\pi\) | ||||
−0.482328 | + | 0.875991i | \(0.660209\pi\) | |||||||
\(938\) | −258.789 | − | 438.248i | −0.275895 | − | 0.467216i | ||||
\(939\) | −428.551 | + | 639.650i | −0.456390 | + | 0.681203i | ||||
\(940\) | −168.694 | − | 729.082i | −0.179462 | − | 0.775619i | ||||
\(941\) | 183.452 | − | 105.916i | 0.194954 | − | 0.112557i | −0.399345 | − | 0.916801i | \(-0.630763\pi\) |
0.594300 | + | 0.804244i | \(0.297429\pi\) | |||||||
\(942\) | −259.519 | − | 17.3336i | −0.275498 | − | 0.0184009i | ||||
\(943\) | 169.523 | + | 97.8744i | 0.179770 | + | 0.103790i | ||||
\(944\) | − | 72.2309i | − | 0.0765158i | ||||||
\(945\) | 800.298 | − | 502.541i | 0.846877 | − | 0.531790i | ||||
\(946\) | −783.096 | −0.827797 | ||||||||
\(947\) | −326.915 | + | 566.234i | −0.345211 | + | 0.597924i | −0.985392 | − | 0.170301i | \(-0.945526\pi\) |
0.640181 | + | 0.768224i | \(0.278859\pi\) | |||||||
\(948\) | 8.07093 | − | 120.838i | 0.00851364 | − | 0.127467i | ||||
\(949\) | −374.515 | − | 648.680i | −0.394642 | − | 0.683540i | ||||
\(950\) | 1342.32 | + | 903.517i | 1.41297 | + | 0.951071i | ||||
\(951\) | −797.078 | − | 534.024i | −0.838148 | − | 0.561540i | ||||
\(952\) | 477.066 | + | 269.228i | 0.501120 | + | 0.282802i | ||||
\(953\) | −1579.73 | −1.65764 | −0.828819 | − | 0.559516i | \(-0.810987\pi\) | ||||
−0.828819 | + | 0.559516i | \(0.810987\pi\) | |||||||
\(954\) | 2515.93 | + | 337.590i | 2.63724 | + | 0.353867i | ||||
\(955\) | 186.399 | − | 610.743i | 0.195183 | − | 0.639521i | ||||
\(956\) | −1865.19 | + | 1076.87i | −1.95103 | + | 1.12643i | ||||
\(957\) | −1407.02 | + | 691.692i | −1.47024 | + | 0.722771i | ||||
\(958\) | − | 167.337i | − | 0.174673i | ||||||
\(959\) | 72.6329 | + | 40.9896i | 0.0757381 | + | 0.0427421i | ||||
\(960\) | −1543.87 | + | 250.234i | −1.60819 | + | 0.260660i | ||||
\(961\) | 405.828 | − | 702.914i | 0.422297 | − | 0.731440i | ||||
\(962\) | −452.291 | − | 783.390i | −0.470157 | − | 0.814335i | ||||
\(963\) | 313.782 | − | 406.831i | 0.325838 | − | 0.422462i | ||||
\(964\) | −403.650 | + | 699.143i | −0.418724 | + | 0.725252i | ||||
\(965\) | 421.691 | + | 451.769i | 0.436985 | + | 0.468154i | ||||
\(966\) | −1128.99 | + | 1721.41i | −1.16873 | + | 1.78200i | ||||
\(967\) | − | 823.369i | − | 0.851467i | −0.904849 | − | 0.425734i | \(-0.860016\pi\) | ||
0.904849 | − | 0.425734i | \(-0.139984\pi\) | |||||||
\(968\) | 101.491 | − | 175.788i | 0.104846 | − | 0.181599i | ||||
\(969\) | 42.6915 | − | 639.179i | 0.0440573 | − | 0.659627i | ||||
\(970\) | 658.390 | − | 2157.23i | 0.678752 | − | 2.22395i | ||||
\(971\) | 872.614 | + | 503.804i | 0.898676 | + | 0.518851i | 0.876770 | − | 0.480909i | \(-0.159693\pi\) |
0.0219055 | + | 0.999760i | \(0.493027\pi\) | |||||||
\(972\) | −1503.87 | + | 289.440i | −1.54719 | + | 0.297778i | ||||
\(973\) | −760.288 | + | 448.956i | −0.781385 | + | 0.461415i | ||||
\(974\) | − | 2700.33i | − | 2.77241i | ||||||
\(975\) | −588.203 | + | 240.452i | −0.603285 | + | 0.246618i | ||||
\(976\) | −15.6380 | − | 27.0858i | −0.0160225 | − | 0.0277518i | ||||
\(977\) | 296.872 | + | 514.197i | 0.303860 | + | 0.526302i | 0.977007 | − | 0.213208i | \(-0.0683910\pi\) |
−0.673147 | + | 0.739509i | \(0.735058\pi\) | |||||||
\(978\) | 1170.37 | + | 2380.72i | 1.19670 | + | 2.43428i | ||||
\(979\) | −763.940 | −0.780327 | ||||||||
\(980\) | −377.525 | − | 1497.21i | −0.385229 | − | 1.52777i | ||||
\(981\) | 606.883 | + | 1475.50i | 0.618637 | + | 1.50408i | ||||
\(982\) | 2341.31 | + | 1351.75i | 2.38422 | + | 1.37653i | ||||
\(983\) | 396.614 | + | 686.956i | 0.403473 | + | 0.698836i | 0.994142 | − | 0.108078i | \(-0.0344696\pi\) |
−0.590669 | + | 0.806914i | \(0.701136\pi\) | |||||||
\(984\) | 141.778 | + | 9.46953i | 0.144083 | + | 0.00962350i | ||||
\(985\) | 25.4254 | + | 109.887i | 0.0258126 | + | 0.111560i | ||||
\(986\) | 1457.84i | 1.47854i | ||||||||
\(987\) | 497.902 | + | 28.3510i | 0.504460 | + | 0.0287244i | ||||
\(988\) | 1076.75i | 1.08983i | ||||||||
\(989\) | −529.600 | − | 305.764i | −0.535490 | − | 0.309165i | ||||
\(990\) | −1752.17 | + | 165.178i | −1.76986 | + | 0.166846i | ||||
\(991\) | 835.228 | + | 1446.66i | 0.842813 | + | 1.45979i | 0.887507 | + | 0.460794i | \(0.152435\pi\) |
−0.0446942 | + | 0.999001i | \(0.514231\pi\) | |||||||
\(992\) | 209.837 | − | 363.449i | 0.211529 | − | 0.366380i | ||||
\(993\) | 718.911 | + | 481.654i | 0.723979 | + | 0.485049i | ||||
\(994\) | 54.8522 | − | 0.538260i | 0.0551833 | − | 0.000541510i | ||||
\(995\) | −126.172 | + | 117.772i | −0.126806 | + | 0.118364i | ||||
\(996\) | 1757.12 | − | 863.803i | 1.76418 | − | 0.867272i | ||||
\(997\) | −963.425 | + | 556.234i | −0.966324 | + | 0.557907i | −0.898114 | − | 0.439764i | \(-0.855062\pi\) |
−0.0682102 | + | 0.997671i | \(0.521729\pi\) | |||||||
\(998\) | −1380.43 | − | 2390.98i | −1.38320 | − | 2.39577i | ||||
\(999\) | −594.666 | + | 673.010i | −0.595261 | + | 0.673684i |
(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.44.4 | yes | 40 | |
3.2 | odd | 2 | inner | 105.3.o.b.44.18 | yes | 40 | |
5.4 | even | 2 | inner | 105.3.o.b.44.17 | yes | 40 | |
7.4 | even | 3 | inner | 105.3.o.b.74.3 | yes | 40 | |
15.14 | odd | 2 | inner | 105.3.o.b.44.3 | ✓ | 40 | |
21.11 | odd | 6 | inner | 105.3.o.b.74.17 | yes | 40 | |
35.4 | even | 6 | inner | 105.3.o.b.74.18 | yes | 40 | |
105.74 | odd | 6 | inner | 105.3.o.b.74.4 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.o.b.44.3 | ✓ | 40 | 15.14 | odd | 2 | inner | |
105.3.o.b.44.4 | yes | 40 | 1.1 | even | 1 | trivial | |
105.3.o.b.44.17 | yes | 40 | 5.4 | even | 2 | inner | |
105.3.o.b.44.18 | yes | 40 | 3.2 | odd | 2 | inner | |
105.3.o.b.74.3 | yes | 40 | 7.4 | even | 3 | inner | |
105.3.o.b.74.4 | yes | 40 | 105.74 | odd | 6 | inner | |
105.3.o.b.74.17 | yes | 40 | 21.11 | odd | 6 | inner | |
105.3.o.b.74.18 | yes | 40 | 35.4 | even | 6 | inner |