Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,3,Mod(139,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 6]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.139");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.o (of order \(10\), degree \(4\), 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: | \(7.82018358714\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 139.7 | ||
Character | \(\chi\) | \(=\) | 287.139 |
Dual form | 287.3.o.a.223.8 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.961384 | + | 2.95883i | −0.480692 | + | 1.47942i | 0.357433 | + | 0.933939i | \(0.383652\pi\) |
−0.838125 | + | 0.545478i | \(0.816348\pi\) | |||||||
\(3\) | − | 3.57784i | − | 1.19261i | −0.802757 | − | 0.596306i | \(-0.796634\pi\) | ||
0.802757 | − | 0.596306i | \(-0.203366\pi\) | |||||||
\(4\) | −4.59437 | − | 3.33801i | −1.14859 | − | 0.834502i | ||||
\(5\) | 5.23870 | − | 7.21045i | 1.04774 | − | 1.44209i | 0.156987 | − | 0.987601i | \(-0.449822\pi\) |
0.890753 | − | 0.454488i | \(-0.150178\pi\) | |||||||
\(6\) | 10.5862 | + | 3.43967i | 1.76437 | + | 0.573279i | ||||
\(7\) | −6.98907 | + | 0.391037i | −0.998438 | + | 0.0558625i | ||||
\(8\) | 4.22583 | − | 3.07025i | 0.528229 | − | 0.383781i | ||||
\(9\) | −3.80091 | −0.422324 | ||||||||
\(10\) | 16.2981 | + | 22.4324i | 1.62981 | + | 2.24324i | ||||
\(11\) | −5.00282 | + | 3.63476i | −0.454802 | + | 0.330433i | −0.791489 | − | 0.611184i | \(-0.790694\pi\) |
0.336687 | + | 0.941617i | \(0.390694\pi\) | |||||||
\(12\) | −11.9428 | + | 16.4379i | −0.995237 | + | 1.36983i | ||||
\(13\) | 14.7509 | + | 4.79284i | 1.13468 | + | 0.368680i | 0.815353 | − | 0.578964i | \(-0.196543\pi\) |
0.319328 | + | 0.947644i | \(0.396543\pi\) | |||||||
\(14\) | 5.56216 | − | 21.0554i | 0.397297 | − | 1.50396i | ||||
\(15\) | −25.7978 | − | 18.7432i | −1.71985 | − | 1.24955i | ||||
\(16\) | −1.99787 | − | 6.14883i | −0.124867 | − | 0.384302i | ||||
\(17\) | −15.9587 | − | 21.9653i | −0.938747 | − | 1.29207i | −0.956348 | − | 0.292230i | \(-0.905603\pi\) |
0.0176009 | − | 0.999845i | \(-0.494397\pi\) | |||||||
\(18\) | 3.65413 | − | 11.2463i | 0.203007 | − | 0.624793i | ||||
\(19\) | −16.1006 | + | 5.23139i | −0.847398 | + | 0.275336i | −0.700356 | − | 0.713794i | \(-0.746975\pi\) |
−0.147042 | + | 0.989130i | \(0.546975\pi\) | |||||||
\(20\) | −48.1371 | + | 15.6407i | −2.40685 | + | 0.782034i | ||||
\(21\) | 1.39907 | + | 25.0057i | 0.0666223 | + | 1.19075i | ||||
\(22\) | −5.94503 | − | 18.2969i | −0.270229 | − | 0.831678i | ||||
\(23\) | −3.84353 | + | 11.8292i | −0.167110 | + | 0.514312i | −0.999186 | − | 0.0403504i | \(-0.987153\pi\) |
0.832076 | + | 0.554662i | \(0.187153\pi\) | |||||||
\(24\) | −10.9848 | − | 15.1193i | −0.457702 | − | 0.629972i | ||||
\(25\) | −16.8212 | − | 51.7703i | −0.672847 | − | 2.07081i | ||||
\(26\) | −28.3625 | + | 39.0376i | −1.09086 | + | 1.50145i | ||||
\(27\) | − | 18.6015i | − | 0.688944i | ||||||
\(28\) | 33.4157 | + | 21.5330i | 1.19342 | + | 0.769036i | ||||
\(29\) | −26.6947 | − | 19.3948i | −0.920506 | − | 0.668787i | 0.0231437 | − | 0.999732i | \(-0.492632\pi\) |
−0.943650 | + | 0.330945i | \(0.892632\pi\) | |||||||
\(30\) | 80.2596 | − | 58.3120i | 2.67532 | − | 1.94373i | ||||
\(31\) | −26.4073 | − | 36.3465i | −0.851847 | − | 1.17247i | −0.983453 | − | 0.181165i | \(-0.942013\pi\) |
0.131605 | − | 0.991302i | \(-0.457987\pi\) | |||||||
\(32\) | 41.0077 | 1.28149 | ||||||||
\(33\) | 13.0046 | + | 17.8993i | 0.394078 | + | 0.542402i | ||||
\(34\) | 80.3340 | − | 26.1021i | 2.36277 | − | 0.767709i | ||||
\(35\) | −33.7941 | + | 52.4428i | −0.965544 | + | 1.49837i | ||||
\(36\) | 17.4628 | + | 12.6875i | 0.485078 | + | 0.352430i | ||||
\(37\) | 29.7323 | + | 21.6018i | 0.803576 | + | 0.583832i | 0.911961 | − | 0.410277i | \(-0.134568\pi\) |
−0.108385 | + | 0.994109i | \(0.534568\pi\) | |||||||
\(38\) | − | 52.6683i | − | 1.38601i | ||||||
\(39\) | 17.1480 | − | 52.7761i | 0.439692 | − | 1.35323i | ||||
\(40\) | − | 46.5542i | − | 1.16386i | ||||||
\(41\) | 27.4094 | + | 30.4914i | 0.668521 | + | 0.743693i | ||||
\(42\) | −75.3329 | − | 19.9005i | −1.79364 | − | 0.473821i | ||||
\(43\) | −10.4487 | + | 32.1579i | −0.242994 | + | 0.747858i | 0.752966 | + | 0.658059i | \(0.228622\pi\) |
−0.995960 | + | 0.0897988i | \(0.971378\pi\) | |||||||
\(44\) | 35.1177 | 0.798129 | ||||||||
\(45\) | −19.9118 | + | 27.4063i | −0.442485 | + | 0.609028i | ||||
\(46\) | −31.3055 | − | 22.7447i | −0.680553 | − | 0.494451i | ||||
\(47\) | −42.5869 | − | 13.8373i | −0.906105 | − | 0.294411i | −0.181351 | − | 0.983419i | \(-0.558047\pi\) |
−0.724755 | + | 0.689007i | \(0.758047\pi\) | |||||||
\(48\) | −21.9995 | + | 7.14807i | −0.458323 | + | 0.148918i | ||||
\(49\) | 48.6942 | − | 5.46598i | 0.993759 | − | 0.111551i | ||||
\(50\) | 169.351 | 3.38702 | ||||||||
\(51\) | −78.5881 | + | 57.0976i | −1.54094 | + | 1.11956i | ||||
\(52\) | −51.7724 | − | 71.2586i | −0.995623 | − | 1.37036i | ||||
\(53\) | −31.8297 | − | 23.1257i | −0.600561 | − | 0.436333i | 0.245517 | − | 0.969392i | \(-0.421042\pi\) |
−0.846078 | + | 0.533059i | \(0.821042\pi\) | |||||||
\(54\) | 55.0387 | + | 17.8832i | 1.01924 | + | 0.331170i | ||||
\(55\) | 55.1140i | 1.00207i | ||||||||
\(56\) | −28.3340 | + | 23.1106i | −0.505965 | + | 0.412690i | ||||
\(57\) | 18.7171 | + | 57.6052i | 0.328369 | + | 1.01062i | ||||
\(58\) | 83.0499 | − | 60.3393i | 1.43189 | − | 1.04033i | ||||
\(59\) | 78.9556 | + | 25.6542i | 1.33823 | + | 0.434817i | 0.888717 | − | 0.458457i | \(-0.151598\pi\) |
0.449513 | + | 0.893274i | \(0.351598\pi\) | |||||||
\(60\) | 55.9598 | + | 172.227i | 0.932663 | + | 2.87044i | ||||
\(61\) | −35.4894 | + | 11.5312i | −0.581793 | + | 0.189036i | −0.585104 | − | 0.810958i | \(-0.698946\pi\) |
0.00331051 | + | 0.999995i | \(0.498946\pi\) | |||||||
\(62\) | 132.931 | − | 43.1918i | 2.14404 | − | 0.696642i | ||||
\(63\) | 26.5648 | − | 1.48630i | 0.421664 | − | 0.0235921i | ||||
\(64\) | −31.4327 | + | 96.7398i | −0.491135 | + | 1.51156i | ||||
\(65\) | 111.834 | − | 81.2520i | 1.72052 | − | 1.25003i | ||||
\(66\) | −65.4634 | + | 21.2703i | −0.991869 | + | 0.322278i | ||||
\(67\) | −70.7125 | − | 51.3756i | −1.05541 | − | 0.766800i | −0.0821763 | − | 0.996618i | \(-0.526187\pi\) |
−0.973234 | + | 0.229817i | \(0.926187\pi\) | |||||||
\(68\) | 154.187i | 2.26746i | ||||||||
\(69\) | 42.3229 | + | 13.7515i | 0.613375 | + | 0.199298i | ||||
\(70\) | −122.681 | − | 150.409i | −1.75258 | − | 2.14870i | ||||
\(71\) | 65.5822 | − | 47.6483i | 0.923694 | − | 0.671103i | −0.0207471 | − | 0.999785i | \(-0.506604\pi\) |
0.944441 | + | 0.328682i | \(0.106604\pi\) | |||||||
\(72\) | −16.0620 | + | 11.6697i | −0.223084 | + | 0.162080i | ||||
\(73\) | − | 37.9168i | − | 0.519409i | −0.965688 | − | 0.259704i | \(-0.916375\pi\) | ||
0.965688 | − | 0.259704i | \(-0.0836251\pi\) | |||||||
\(74\) | −92.5003 | + | 67.2054i | −1.25000 | + | 0.908181i | ||||
\(75\) | −185.225 | + | 60.1834i | −2.46967 | + | 0.802445i | ||||
\(76\) | 91.4344 | + | 29.7089i | 1.20308 | + | 0.390906i | ||||
\(77\) | 33.5437 | − | 27.3599i | 0.435633 | − | 0.355323i | ||||
\(78\) | 139.670 | + | 101.476i | 1.79064 | + | 1.30098i | ||||
\(79\) | 38.3425 | 0.485349 | 0.242674 | − | 0.970108i | \(-0.421975\pi\) | ||||
0.242674 | + | 0.970108i | \(0.421975\pi\) | |||||||
\(80\) | −54.8020 | − | 17.8063i | −0.685025 | − | 0.222578i | ||||
\(81\) | −100.761 | −1.24397 | ||||||||
\(82\) | −116.570 | + | 51.7858i | −1.42159 | + | 0.631534i | ||||
\(83\) | − | 38.6566i | − | 0.465742i | −0.972508 | − | 0.232871i | \(-0.925188\pi\) | ||
0.972508 | − | 0.232871i | \(-0.0748120\pi\) | |||||||
\(84\) | 77.0415 | − | 119.556i | 0.917161 | − | 1.42328i | ||||
\(85\) | −241.982 | −2.84685 | ||||||||
\(86\) | −85.1046 | − | 61.8321i | −0.989589 | − | 0.718978i | ||||
\(87\) | −69.3915 | + | 95.5092i | −0.797603 | + | 1.09781i | ||||
\(88\) | −9.98146 | + | 30.7198i | −0.113426 | + | 0.349088i | ||||
\(89\) | 119.009 | − | 38.6683i | 1.33718 | − | 0.434475i | 0.448818 | − | 0.893623i | \(-0.351845\pi\) |
0.888360 | + | 0.459148i | \(0.151845\pi\) | |||||||
\(90\) | −61.9477 | − | 85.2637i | −0.688308 | − | 0.947375i | ||||
\(91\) | −104.969 | − | 27.7294i | −1.15350 | − | 0.304718i | ||||
\(92\) | 57.1445 | − | 41.5179i | 0.621136 | − | 0.451282i | ||||
\(93\) | −130.042 | + | 94.4809i | −1.39830 | + | 1.01592i | ||||
\(94\) | 81.8848 | − | 112.705i | 0.871115 | − | 1.19899i | ||||
\(95\) | −46.6253 | + | 143.498i | −0.490793 | + | 1.51050i | ||||
\(96\) | − | 146.719i | − | 1.52832i | ||||||
\(97\) | −11.1028 | + | 15.2817i | −0.114462 | + | 0.157543i | −0.862404 | − | 0.506221i | \(-0.831042\pi\) |
0.747942 | + | 0.663764i | \(0.231042\pi\) | |||||||
\(98\) | −30.6409 | + | 149.333i | −0.312662 | + | 1.52381i | ||||
\(99\) | 19.0153 | − | 13.8154i | 0.192074 | − | 0.139550i | ||||
\(100\) | −95.5268 | + | 294.001i | −0.955268 | + | 2.94001i | ||||
\(101\) | 121.094 | − | 39.3458i | 1.19895 | − | 0.389562i | 0.359575 | − | 0.933116i | \(-0.382922\pi\) |
0.839374 | + | 0.543554i | \(0.182922\pi\) | |||||||
\(102\) | −93.3891 | − | 287.422i | −0.915579 | − | 2.81786i | ||||
\(103\) | 76.2036 | − | 24.7601i | 0.739841 | − | 0.240389i | 0.0852368 | − | 0.996361i | \(-0.472835\pi\) |
0.654604 | + | 0.755972i | \(0.272835\pi\) | |||||||
\(104\) | 77.0498 | − | 25.0350i | 0.740864 | − | 0.240721i | ||||
\(105\) | 187.632 | + | 120.910i | 1.78697 | + | 1.15152i | ||||
\(106\) | 99.0256 | − | 71.9463i | 0.934204 | − | 0.678739i | ||||
\(107\) | −31.3592 | − | 96.5136i | −0.293076 | − | 0.901996i | −0.983861 | − | 0.178935i | \(-0.942735\pi\) |
0.690784 | − | 0.723061i | \(-0.257265\pi\) | |||||||
\(108\) | −62.0919 | + | 85.4622i | −0.574925 | + | 0.791317i | ||||
\(109\) | 61.4019 | 0.563320 | 0.281660 | − | 0.959514i | \(-0.409115\pi\) | ||||
0.281660 | + | 0.959514i | \(0.409115\pi\) | |||||||
\(110\) | −163.073 | − | 52.9857i | −1.48248 | − | 0.481688i | ||||
\(111\) | 77.2877 | − | 106.377i | 0.696285 | − | 0.958355i | ||||
\(112\) | 16.3677 | + | 42.1933i | 0.146140 | + | 0.376726i | ||||
\(113\) | 21.7215 | − | 15.7816i | 0.192225 | − | 0.139660i | −0.487510 | − | 0.873117i | \(-0.662095\pi\) |
0.679735 | + | 0.733458i | \(0.262095\pi\) | |||||||
\(114\) | −188.438 | −1.65297 | ||||||||
\(115\) | 65.1585 | + | 89.6830i | 0.566596 | + | 0.779852i | ||||
\(116\) | 57.9053 | + | 178.214i | 0.499184 | + | 1.53633i | ||||
\(117\) | −56.0667 | − | 18.2172i | −0.479203 | − | 0.155702i | ||||
\(118\) | −151.813 | + | 208.953i | −1.28655 | + | 1.77079i | ||||
\(119\) | 120.126 | + | 147.276i | 1.00946 | + | 1.23762i | ||||
\(120\) | −166.563 | −1.38803 | ||||||||
\(121\) | −25.5743 | + | 78.7097i | −0.211358 | + | 0.650494i | ||||
\(122\) | − | 116.093i | − | 0.951583i | ||||||
\(123\) | 109.093 | − | 98.0662i | 0.886938 | − | 0.797286i | ||||
\(124\) | 255.137i | 2.05756i | ||||||||
\(125\) | −249.498 | − | 81.0668i | −1.99598 | − | 0.648534i | ||||
\(126\) | −21.1413 | + | 80.0299i | −0.167788 | + | 0.635158i | ||||
\(127\) | 16.6392 | + | 12.0891i | 0.131017 | + | 0.0951896i | 0.651364 | − | 0.758766i | \(-0.274197\pi\) |
−0.520347 | + | 0.853955i | \(0.674197\pi\) | |||||||
\(128\) | −123.314 | − | 89.5931i | −0.963394 | − | 0.699946i | ||||
\(129\) | 115.056 | + | 37.3839i | 0.891905 | + | 0.289797i | ||||
\(130\) | 132.896 | + | 409.012i | 1.02228 | + | 3.14625i | ||||
\(131\) | 95.5625 | + | 131.530i | 0.729485 | + | 1.00405i | 0.999155 | + | 0.0410967i | \(0.0130852\pi\) |
−0.269671 | + | 0.962953i | \(0.586915\pi\) | |||||||
\(132\) | − | 125.645i | − | 0.951859i | ||||||
\(133\) | 110.482 | − | 42.8585i | 0.830694 | − | 0.322244i | ||||
\(134\) | 219.994 | − | 159.835i | 1.64174 | − | 1.19280i | ||||
\(135\) | −134.125 | − | 97.4475i | −0.993518 | − | 0.721833i | ||||
\(136\) | −134.878 | − | 43.8244i | −0.991747 | − | 0.322238i | ||||
\(137\) | 101.589 | 0.741523 | 0.370762 | − | 0.928728i | \(-0.379097\pi\) | ||||
0.370762 | + | 0.928728i | \(0.379097\pi\) | |||||||
\(138\) | −81.3770 | + | 112.006i | −0.589688 | + | 0.811636i | ||||
\(139\) | 125.207 | − | 40.6821i | 0.900766 | − | 0.292677i | 0.178213 | − | 0.983992i | \(-0.442968\pi\) |
0.722553 | + | 0.691315i | \(0.242968\pi\) | |||||||
\(140\) | 330.317 | − | 128.137i | 2.35941 | − | 0.915266i | ||||
\(141\) | −49.5077 | + | 152.369i | −0.351119 | + | 1.08063i | ||||
\(142\) | 77.9337 | + | 239.855i | 0.548829 | + | 1.68912i | ||||
\(143\) | −91.2167 | + | 29.6381i | −0.637879 | + | 0.207259i | ||||
\(144\) | 7.59375 | + | 23.3712i | 0.0527344 | + | 0.162300i | ||||
\(145\) | −279.691 | + | 90.8770i | −1.92890 | + | 0.626738i | ||||
\(146\) | 112.190 | + | 36.4526i | 0.768422 | + | 0.249675i | ||||
\(147\) | −19.5564 | − | 174.220i | −0.133037 | − | 1.18517i | ||||
\(148\) | −64.4944 | − | 198.493i | −0.435773 | − | 1.34117i | ||||
\(149\) | 100.390 | + | 72.9376i | 0.673758 | + | 0.489514i | 0.871281 | − | 0.490784i | \(-0.163290\pi\) |
−0.197523 | + | 0.980298i | \(0.563290\pi\) | |||||||
\(150\) | − | 605.911i | − | 4.03941i | ||||||
\(151\) | −28.3843 | + | 87.3578i | −0.187975 | + | 0.578528i | −0.999987 | − | 0.00511276i | \(-0.998373\pi\) |
0.812012 | + | 0.583641i | \(0.198373\pi\) | |||||||
\(152\) | −51.9766 | + | 71.5397i | −0.341951 | + | 0.470656i | ||||
\(153\) | 60.6576 | + | 83.4881i | 0.396455 | + | 0.545674i | ||||
\(154\) | 48.7050 | + | 125.554i | 0.316266 | + | 0.815284i | ||||
\(155\) | −400.414 | −2.58332 | ||||||||
\(156\) | −254.952 | + | 185.233i | −1.63430 | + | 1.18739i | ||||
\(157\) | −116.974 | + | 38.0071i | −0.745057 | + | 0.242084i | −0.656853 | − | 0.754019i | \(-0.728113\pi\) |
−0.0882042 | + | 0.996102i | \(0.528113\pi\) | |||||||
\(158\) | −36.8619 | + | 113.449i | −0.233303 | + | 0.718033i | ||||
\(159\) | −82.7398 | + | 113.882i | −0.520376 | + | 0.716236i | ||||
\(160\) | 214.827 | − | 295.684i | 1.34267 | − | 1.84803i | ||||
\(161\) | 22.2371 | − | 84.1779i | 0.138118 | − | 0.522844i | ||||
\(162\) | 96.8702 | − | 298.136i | 0.597964 | − | 1.84035i | ||||
\(163\) | 96.1409 | 0.589822 | 0.294911 | − | 0.955525i | \(-0.404710\pi\) | ||||
0.294911 | + | 0.955525i | \(0.404710\pi\) | |||||||
\(164\) | −24.1483 | − | 231.582i | −0.147245 | − | 1.41208i | ||||
\(165\) | 197.189 | 1.19508 | ||||||||
\(166\) | 114.378 | + | 37.1638i | 0.689027 | + | 0.223878i | ||||
\(167\) | − | 60.8933i | − | 0.364631i | −0.983240 | − | 0.182315i | \(-0.941641\pi\) | ||
0.983240 | − | 0.182315i | \(-0.0583592\pi\) | |||||||
\(168\) | 82.6860 | + | 101.375i | 0.492179 | + | 0.603420i | ||||
\(169\) | 57.8925 | + | 42.0613i | 0.342559 | + | 0.248884i | ||||
\(170\) | 232.638 | − | 715.985i | 1.36846 | − | 4.21168i | ||||
\(171\) | 61.1968 | − | 19.8841i | 0.357876 | − | 0.116281i | ||||
\(172\) | 155.349 | − | 112.867i | 0.903190 | − | 0.656206i | ||||
\(173\) | − | 196.733i | − | 1.13718i | −0.822620 | − | 0.568591i | \(-0.807489\pi\) | ||
0.822620 | − | 0.568591i | \(-0.192511\pi\) | |||||||
\(174\) | −215.884 | − | 297.139i | −1.24071 | − | 1.70769i | ||||
\(175\) | 137.808 | + | 355.248i | 0.787477 | + | 2.02999i | ||||
\(176\) | 32.3445 | + | 23.4997i | 0.183776 | + | 0.133521i | ||||
\(177\) | 91.7866 | − | 282.490i | 0.518568 | − | 1.59599i | ||||
\(178\) | 389.302i | 2.18709i | ||||||||
\(179\) | 194.367 | + | 141.216i | 1.08585 | + | 0.788915i | 0.978693 | − | 0.205328i | \(-0.0658260\pi\) |
0.107155 | + | 0.994242i | \(0.465826\pi\) | |||||||
\(180\) | 182.965 | − | 59.4489i | 1.01647 | − | 0.330271i | ||||
\(181\) | −111.005 | − | 152.786i | −0.613289 | − | 0.844120i | 0.383554 | − | 0.923519i | \(-0.374700\pi\) |
−0.996843 | + | 0.0793983i | \(0.974700\pi\) | |||||||
\(182\) | 182.962 | − | 283.927i | 1.00529 | − | 1.56004i | ||||
\(183\) | 41.2568 | + | 126.975i | 0.225447 | + | 0.693854i | ||||
\(184\) | 20.0764 | + | 61.7887i | 0.109111 | + | 0.335808i | ||||
\(185\) | 311.517 | − | 101.218i | 1.68388 | − | 0.547125i | ||||
\(186\) | −154.533 | − | 475.604i | −0.830824 | − | 2.55701i | ||||
\(187\) | 159.677 | + | 51.8822i | 0.853888 | + | 0.277445i | ||||
\(188\) | 149.471 | + | 205.730i | 0.795060 | + | 1.09431i | ||||
\(189\) | 7.27388 | + | 130.007i | 0.0384861 | + | 0.687868i | ||||
\(190\) | −379.762 | − | 275.913i | −1.99875 | − | 1.45217i | ||||
\(191\) | 120.561 | 0.631207 | 0.315603 | − | 0.948891i | \(-0.397793\pi\) | ||||
0.315603 | + | 0.948891i | \(0.397793\pi\) | |||||||
\(192\) | 346.119 | + | 112.461i | 1.80270 | + | 0.585734i | ||||
\(193\) | −87.4026 | − | 63.5017i | −0.452863 | − | 0.329025i | 0.337862 | − | 0.941196i | \(-0.390296\pi\) |
−0.790725 | + | 0.612171i | \(0.790296\pi\) | |||||||
\(194\) | −34.5420 | − | 47.5430i | −0.178051 | − | 0.245067i | ||||
\(195\) | −290.706 | − | 400.123i | −1.49080 | − | 2.05191i | ||||
\(196\) | −241.965 | − | 137.429i | −1.23451 | − | 0.701168i | ||||
\(197\) | −27.7155 | + | 20.1365i | −0.140688 | + | 0.102216i | −0.655903 | − | 0.754845i | \(-0.727712\pi\) |
0.515215 | + | 0.857061i | \(0.327712\pi\) | |||||||
\(198\) | 22.5965 | + | 69.5450i | 0.114124 | + | 0.351237i | ||||
\(199\) | −314.162 | − | 102.077i | −1.57870 | − | 0.512951i | −0.616980 | − | 0.786979i | \(-0.711644\pi\) |
−0.961722 | + | 0.274028i | \(0.911644\pi\) | |||||||
\(200\) | −230.031 | − | 167.127i | −1.15015 | − | 0.835636i | ||||
\(201\) | −183.814 | + | 252.998i | −0.914495 | + | 1.25869i | ||||
\(202\) | 396.123i | 1.96100i | ||||||||
\(203\) | 194.155 | + | 125.113i | 0.956429 | + | 0.616321i | ||||
\(204\) | 551.656 | 2.70419 | ||||||||
\(205\) | 363.446 | − | 37.8985i | 1.77291 | − | 0.184870i | ||||
\(206\) | 249.278i | 1.21009i | ||||||||
\(207\) | 14.6089 | − | 44.9617i | 0.0705745 | − | 0.217206i | ||||
\(208\) | − | 100.276i | − | 0.482096i | ||||||
\(209\) | 61.5334 | − | 84.6934i | 0.294418 | − | 0.405232i | ||||
\(210\) | −538.138 | + | 438.931i | −2.56256 | + | 2.09015i | ||||
\(211\) | −91.7490 | + | 282.374i | −0.434830 | + | 1.33827i | 0.458432 | + | 0.888730i | \(0.348411\pi\) |
−0.893261 | + | 0.449538i | \(0.851589\pi\) | |||||||
\(212\) | 69.0441 | + | 212.496i | 0.325680 | + | 1.00234i | ||||
\(213\) | −170.478 | − | 234.643i | −0.800365 | − | 1.10161i | ||||
\(214\) | 315.716 | 1.47531 | ||||||||
\(215\) | 177.135 | + | 243.805i | 0.823884 | + | 1.13398i | ||||
\(216\) | −57.1111 | − | 78.6067i | −0.264403 | − | 0.363920i | ||||
\(217\) | 198.775 | + | 243.702i | 0.916014 | + | 1.12305i | ||||
\(218\) | −59.0308 | + | 181.678i | −0.270783 | + | 0.833385i | ||||
\(219\) | −135.660 | −0.619453 | ||||||||
\(220\) | 183.971 | − | 253.214i | 0.836231 | − | 1.15097i | ||||
\(221\) | −130.128 | − | 400.494i | −0.588816 | − | 1.81219i | ||||
\(222\) | 240.450 | + | 330.951i | 1.08311 | + | 1.49077i | ||||
\(223\) | −66.0083 | − | 21.4474i | −0.296001 | − | 0.0961767i | 0.157252 | − | 0.987559i | \(-0.449737\pi\) |
−0.453253 | + | 0.891382i | \(0.649737\pi\) | |||||||
\(224\) | −286.606 | + | 16.0356i | −1.27949 | + | 0.0715873i | ||||
\(225\) | 63.9358 | + | 196.774i | 0.284159 | + | 0.874552i | ||||
\(226\) | 25.8124 | + | 79.4424i | 0.114214 | + | 0.351515i | ||||
\(227\) | 82.1462 | − | 26.6909i | 0.361877 | − | 0.117581i | −0.122434 | − | 0.992477i | \(-0.539070\pi\) |
0.484312 | + | 0.874896i | \(0.339070\pi\) | |||||||
\(228\) | 106.293 | − | 327.137i | 0.466199 | − | 1.43481i | ||||
\(229\) | −169.057 | − | 232.687i | −0.738241 | − | 1.01610i | −0.998718 | − | 0.0506214i | \(-0.983880\pi\) |
0.260477 | − | 0.965480i | \(-0.416120\pi\) | |||||||
\(230\) | −328.000 | + | 106.574i | −1.42609 | + | 0.463363i | ||||
\(231\) | −97.8892 | − | 120.014i | −0.423763 | − | 0.519541i | ||||
\(232\) | −172.354 | −0.742906 | ||||||||
\(233\) | 25.9988 | − | 80.0160i | 0.111583 | − | 0.343416i | −0.879636 | − | 0.475647i | \(-0.842214\pi\) |
0.991219 | + | 0.132231i | \(0.0422140\pi\) | |||||||
\(234\) | 107.803 | − | 148.378i | 0.460698 | − | 0.634096i | ||||
\(235\) | −322.873 | + | 234.581i | −1.37393 | + | 0.998218i | ||||
\(236\) | −277.117 | − | 381.419i | −1.17423 | − | 1.61618i | ||||
\(237\) | − | 137.183i | − | 0.578833i | ||||||
\(238\) | −551.253 | + | 213.843i | −2.31619 | + | 0.898500i | ||||
\(239\) | −26.8814 | − | 82.7325i | −0.112475 | − | 0.346161i | 0.878937 | − | 0.476937i | \(-0.158253\pi\) |
−0.991412 | + | 0.130776i | \(0.958253\pi\) | |||||||
\(240\) | −63.7079 | + | 196.073i | −0.265450 | + | 0.816970i | ||||
\(241\) | 114.119 | − | 157.071i | 0.473523 | − | 0.651748i | −0.503721 | − | 0.863866i | \(-0.668036\pi\) |
0.977244 | + | 0.212118i | \(0.0680362\pi\) | |||||||
\(242\) | −208.302 | − | 151.340i | −0.860753 | − | 0.625374i | ||||
\(243\) | 193.094i | 0.794626i | ||||||||
\(244\) | 201.543 | + | 65.4852i | 0.825995 | + | 0.268382i | ||||
\(245\) | 215.682 | − | 379.741i | 0.880334 | − | 1.54996i | ||||
\(246\) | 185.281 | + | 417.068i | 0.753175 | + | 1.69540i | ||||
\(247\) | −262.570 | −1.06304 | ||||||||
\(248\) | −223.185 | − | 72.5173i | −0.899941 | − | 0.292408i | ||||
\(249\) | −138.307 | −0.555450 | ||||||||
\(250\) | 479.726 | − | 660.287i | 1.91891 | − | 2.64115i | ||||
\(251\) | −130.380 | + | 179.452i | −0.519441 | + | 0.714949i | −0.985476 | − | 0.169818i | \(-0.945682\pi\) |
0.466035 | + | 0.884766i | \(0.345682\pi\) | |||||||
\(252\) | −127.010 | − | 81.8451i | −0.504008 | − | 0.324782i | ||||
\(253\) | −23.7677 | − | 73.1496i | −0.0939436 | − | 0.289129i | ||||
\(254\) | −51.7662 | + | 37.6103i | −0.203804 | + | 0.148072i | ||||
\(255\) | 865.773i | 3.39519i | ||||||||
\(256\) | 54.4765 | − | 39.5795i | 0.212799 | − | 0.154607i | ||||
\(257\) | −238.542 | − | 328.325i | −0.928181 | − | 1.27753i | −0.960565 | − | 0.278056i | \(-0.910310\pi\) |
0.0323844 | − | 0.999475i | \(-0.489690\pi\) | |||||||
\(258\) | −221.225 | + | 304.491i | −0.857462 | + | 1.18020i | ||||
\(259\) | −216.248 | − | 139.350i | −0.834936 | − | 0.538031i | ||||
\(260\) | −785.026 | −3.01933 | ||||||||
\(261\) | 101.464 | + | 73.7180i | 0.388752 | + | 0.282445i | ||||
\(262\) | −481.049 | + | 156.302i | −1.83607 | + | 0.596574i | ||||
\(263\) | 180.930 | − | 131.453i | 0.687946 | − | 0.499822i | −0.188038 | − | 0.982162i | \(-0.560213\pi\) |
0.875984 | + | 0.482340i | \(0.160213\pi\) | |||||||
\(264\) | 109.910 | + | 35.7120i | 0.416327 | + | 0.135273i | ||||
\(265\) | −333.493 | + | 108.358i | −1.25846 | + | 0.408899i | ||||
\(266\) | 20.5953 | + | 368.102i | 0.0774258 | + | 1.38384i | ||||
\(267\) | −138.349 | − | 425.794i | −0.518161 | − | 1.59473i | ||||
\(268\) | 153.387 | + | 472.078i | 0.572341 | + | 1.76148i | ||||
\(269\) | 109.068 | + | 35.4383i | 0.405457 | + | 0.131741i | 0.504643 | − | 0.863328i | \(-0.331624\pi\) |
−0.0991863 | + | 0.995069i | \(0.531624\pi\) | |||||||
\(270\) | 417.277 | − | 303.169i | 1.54547 | − | 1.12285i | ||||
\(271\) | 437.394 | − | 142.118i | 1.61400 | − | 0.524420i | 0.643484 | − | 0.765460i | \(-0.277488\pi\) |
0.970515 | + | 0.241040i | \(0.0774884\pi\) | |||||||
\(272\) | −103.177 | + | 142.011i | −0.379328 | + | 0.522100i | ||||
\(273\) | −99.2112 | + | 375.562i | −0.363411 | + | 1.37568i | ||||
\(274\) | −97.6657 | + | 300.584i | −0.356444 | + | 1.09702i | ||||
\(275\) | 272.326 | + | 197.856i | 0.990276 | + | 0.719477i | ||||
\(276\) | −148.544 | − | 204.454i | −0.538204 | − | 0.740774i | ||||
\(277\) | 84.6547 | − | 61.5053i | 0.305613 | − | 0.222041i | −0.424399 | − | 0.905475i | \(-0.639515\pi\) |
0.730012 | + | 0.683435i | \(0.239515\pi\) | |||||||
\(278\) | 409.576i | 1.47330i | ||||||||
\(279\) | 100.372 | + | 138.150i | 0.359755 | + | 0.495161i | ||||
\(280\) | 18.2044 | + | 325.371i | 0.0650159 | + | 1.16204i | ||||
\(281\) | −40.8802 | + | 125.816i | −0.145481 | + | 0.447745i | −0.997073 | − | 0.0764612i | \(-0.975638\pi\) |
0.851591 | + | 0.524206i | \(0.175638\pi\) | |||||||
\(282\) | −403.239 | − | 292.970i | −1.42993 | − | 1.03890i | ||||
\(283\) | 211.952 | − | 291.727i | 0.748947 | − | 1.03084i | −0.249107 | − | 0.968476i | \(-0.580137\pi\) |
0.998054 | − | 0.0623605i | \(-0.0198629\pi\) | |||||||
\(284\) | −460.360 | −1.62099 | ||||||||
\(285\) | 513.412 | + | 166.818i | 1.80145 | + | 0.585325i | ||||
\(286\) | − | 298.389i | − | 1.04332i | ||||||
\(287\) | −203.489 | − | 202.389i | −0.709022 | − | 0.705187i | ||||
\(288\) | −155.867 | −0.541204 | ||||||||
\(289\) | −138.487 | + | 426.219i | −0.479194 | + | 1.47481i | ||||
\(290\) | − | 914.926i | − | 3.15492i | ||||||
\(291\) | 54.6755 | + | 39.7240i | 0.187888 | + | 0.136509i | ||||
\(292\) | −126.567 | + | 174.204i | −0.433448 | + | 0.596589i | ||||
\(293\) | 332.810 | + | 108.136i | 1.13587 | + | 0.369066i | 0.815804 | − | 0.578329i | \(-0.196295\pi\) |
0.320066 | + | 0.947395i | \(0.396295\pi\) | |||||||
\(294\) | 534.289 | + | 109.628i | 1.81731 | + | 0.372884i | ||||
\(295\) | 598.603 | − | 434.910i | 2.02916 | − | 1.47427i | ||||
\(296\) | 191.967 | 0.648536 | ||||||||
\(297\) | 67.6120 | + | 93.0599i | 0.227650 | + | 0.313333i | ||||
\(298\) | −312.324 | + | 226.916i | −1.04807 | + | 0.761464i | ||||
\(299\) | −113.391 | + | 156.069i | −0.379233 | + | 0.521970i | ||||
\(300\) | 1051.89 | + | 341.779i | 3.50629 | + | 1.13926i | ||||
\(301\) | 60.4520 | − | 228.840i | 0.200837 | − | 0.760264i | ||||
\(302\) | −231.189 | − | 167.969i | −0.765527 | − | 0.556188i | ||||
\(303\) | −140.773 | − | 433.254i | −0.464596 | − | 1.42988i | ||||
\(304\) | 64.3338 | + | 88.5479i | 0.211624 | + | 0.291276i | ||||
\(305\) | −102.773 | + | 316.303i | −0.336961 | + | 1.03706i | ||||
\(306\) | −305.343 | + | 99.2118i | −0.997852 | + | 0.324222i | ||||
\(307\) | 8.36682 | − | 2.71854i | 0.0272535 | − | 0.00885519i | −0.295359 | − | 0.955386i | \(-0.595439\pi\) |
0.322612 | + | 0.946531i | \(0.395439\pi\) | |||||||
\(308\) | −245.440 | + | 13.7323i | −0.796883 | + | 0.0445855i | ||||
\(309\) | −88.5874 | − | 272.644i | −0.286691 | − | 0.882343i | ||||
\(310\) | 384.951 | − | 1184.76i | 1.24178 | − | 3.82180i | ||||
\(311\) | 293.462 | + | 403.916i | 0.943607 | + | 1.29876i | 0.954309 | + | 0.298821i | \(0.0965935\pi\) |
−0.0107016 | + | 0.999943i | \(0.503406\pi\) | |||||||
\(312\) | −89.5711 | − | 275.672i | −0.287087 | − | 0.883563i | ||||
\(313\) | −99.8701 | + | 137.459i | −0.319074 | + | 0.439167i | −0.938184 | − | 0.346137i | \(-0.887493\pi\) |
0.619110 | + | 0.785304i | \(0.287493\pi\) | |||||||
\(314\) | − | 382.646i | − | 1.21862i | ||||||
\(315\) | 128.448 | − | 199.331i | 0.407772 | − | 0.632796i | ||||
\(316\) | −176.160 | − | 127.988i | −0.557468 | − | 0.405025i | ||||
\(317\) | −120.829 | + | 87.7876i | −0.381165 | + | 0.276932i | −0.761825 | − | 0.647782i | \(-0.775697\pi\) |
0.380661 | + | 0.924715i | \(0.375697\pi\) | |||||||
\(318\) | −257.412 | − | 354.297i | −0.809472 | − | 1.11414i | ||||
\(319\) | 204.044 | 0.639637 | ||||||||
\(320\) | 532.871 | + | 733.434i | 1.66522 | + | 2.29198i | ||||
\(321\) | −345.310 | + | 112.198i | −1.07573 | + | 0.349526i | ||||
\(322\) | 227.690 | + | 146.723i | 0.707112 | + | 0.455662i | ||||
\(323\) | 371.853 | + | 270.167i | 1.15125 | + | 0.836431i | ||||
\(324\) | 462.935 | + | 336.342i | 1.42881 | + | 1.03809i | ||||
\(325\) | − | 844.277i | − | 2.59777i | ||||||
\(326\) | −92.4283 | + | 284.465i | −0.283522 | + | 0.872592i | ||||
\(327\) | − | 219.686i | − | 0.671822i | ||||||
\(328\) | 209.444 | + | 44.6981i | 0.638547 | + | 0.136275i | ||||
\(329\) | 303.054 | + | 80.0570i | 0.921137 | + | 0.243334i | ||||
\(330\) | −189.574 | + | 583.449i | −0.574467 | + | 1.76803i | ||||
\(331\) | −516.152 | −1.55937 | −0.779686 | − | 0.626170i | \(-0.784622\pi\) | ||||
−0.779686 | + | 0.626170i | \(0.784622\pi\) | |||||||
\(332\) | −129.036 | + | 177.603i | −0.388663 | + | 0.534948i | ||||
\(333\) | −113.010 | − | 82.1065i | −0.339369 | − | 0.246566i | ||||
\(334\) | 180.173 | + | 58.5419i | 0.539441 | + | 0.175275i | ||||
\(335\) | −740.882 | + | 240.727i | −2.21159 | + | 0.718589i | ||||
\(336\) | 150.961 | − | 58.5610i | 0.449288 | − | 0.174289i | ||||
\(337\) | −327.486 | −0.971768 | −0.485884 | − | 0.874023i | \(-0.661502\pi\) | ||||
−0.485884 | + | 0.874023i | \(0.661502\pi\) | |||||||
\(338\) | −180.109 | + | 130.857i | −0.532868 | + | 0.387151i | ||||
\(339\) | −56.4639 | − | 77.7159i | −0.166560 | − | 0.229250i | ||||
\(340\) | 1111.76 | + | 807.739i | 3.26987 | + | 2.37570i | ||||
\(341\) | 264.222 | + | 85.8508i | 0.774843 | + | 0.251762i | ||||
\(342\) | 200.188i | 0.585344i | ||||||||
\(343\) | −338.190 | + | 57.2433i | −0.985975 | + | 0.166890i | ||||
\(344\) | 54.5781 | + | 167.974i | 0.158657 | + | 0.488297i | ||||
\(345\) | 320.871 | − | 233.127i | 0.930061 | − | 0.675729i | ||||
\(346\) | 582.099 | + | 189.135i | 1.68237 | + | 0.546634i | ||||
\(347\) | −45.0442 | − | 138.632i | −0.129810 | − | 0.399516i | 0.864936 | − | 0.501882i | \(-0.167359\pi\) |
−0.994747 | + | 0.102366i | \(0.967359\pi\) | |||||||
\(348\) | 637.621 | − | 207.176i | 1.83224 | − | 0.595332i | ||||
\(349\) | −171.820 | + | 55.8277i | −0.492321 | + | 0.159965i | −0.544647 | − | 0.838665i | \(-0.683336\pi\) |
0.0523264 | + | 0.998630i | \(0.483336\pi\) | |||||||
\(350\) | −1183.61 | + | 66.2227i | −3.38174 | + | 0.189208i | ||||
\(351\) | 89.1540 | − | 274.388i | 0.254000 | − | 0.781732i | ||||
\(352\) | −205.154 | + | 149.053i | −0.582825 | + | 0.423447i | ||||
\(353\) | 15.8582 | − | 5.15263i | 0.0449240 | − | 0.0145967i | −0.286469 | − | 0.958090i | \(-0.592481\pi\) |
0.331393 | + | 0.943493i | \(0.392481\pi\) | |||||||
\(354\) | 747.599 | + | 543.163i | 2.11186 | + | 1.53436i | ||||
\(355\) | − | 722.492i | − | 2.03519i | ||||||
\(356\) | −675.846 | − | 219.596i | −1.89844 | − | 0.616842i | ||||
\(357\) | 526.931 | − | 429.790i | 1.47600 | − | 1.20389i | ||||
\(358\) | −604.695 | + | 439.337i | −1.68909 | + | 1.22720i | ||||
\(359\) | −166.539 | + | 120.998i | −0.463898 | + | 0.337041i | −0.795058 | − | 0.606533i | \(-0.792560\pi\) |
0.331161 | + | 0.943574i | \(0.392560\pi\) | |||||||
\(360\) | 176.948i | 0.491524i | ||||||||
\(361\) | −60.1944 | + | 43.7338i | −0.166744 | + | 0.121146i | ||||
\(362\) | 558.787 | − | 181.561i | 1.54361 | − | 0.501549i | ||||
\(363\) | 281.611 | + | 91.5008i | 0.775787 | + | 0.252068i | ||||
\(364\) | 389.706 | + | 477.786i | 1.07062 | + | 1.31260i | ||||
\(365\) | −273.397 | − | 198.635i | −0.749034 | − | 0.544205i | ||||
\(366\) | −415.362 | −1.13487 | ||||||||
\(367\) | −174.347 | − | 56.6489i | −0.475061 | − | 0.154357i | 0.0616937 | − | 0.998095i | \(-0.480350\pi\) |
−0.536754 | + | 0.843739i | \(0.680350\pi\) | |||||||
\(368\) | 80.4144 | 0.218517 | ||||||||
\(369\) | −104.181 | − | 115.895i | −0.282332 | − | 0.314079i | ||||
\(370\) | 1019.04i | 2.75415i | ||||||||
\(371\) | 231.503 | + | 149.180i | 0.623998 | + | 0.402103i | ||||
\(372\) | 912.839 | 2.45387 | ||||||||
\(373\) | 328.791 | + | 238.881i | 0.881477 | + | 0.640431i | 0.933642 | − | 0.358208i | \(-0.116612\pi\) |
−0.0521648 | + | 0.998638i | \(0.516612\pi\) | |||||||
\(374\) | −307.022 | + | 422.579i | −0.820914 | + | 1.12989i | ||||
\(375\) | −290.044 | + | 892.663i | −0.773450 | + | 2.38043i | ||||
\(376\) | −222.449 | + | 72.2782i | −0.591620 | + | 0.192229i | ||||
\(377\) | −300.813 | − | 414.034i | −0.797912 | − | 1.09823i | ||||
\(378\) | −391.662 | − | 103.464i | −1.03614 | − | 0.273715i | ||||
\(379\) | −18.8733 | + | 13.7122i | −0.0497976 | + | 0.0361801i | −0.612406 | − | 0.790544i | \(-0.709798\pi\) |
0.562608 | + | 0.826724i | \(0.309798\pi\) | |||||||
\(380\) | 693.211 | − | 503.648i | 1.82424 | − | 1.32539i | ||||
\(381\) | 43.2527 | − | 59.5323i | 0.113524 | − | 0.156253i | ||||
\(382\) | −115.905 | + | 356.719i | −0.303416 | + | 0.933818i | ||||
\(383\) | − | 114.604i | − | 0.299227i | −0.988745 | − | 0.149614i | \(-0.952197\pi\) | ||
0.988745 | − | 0.149614i | \(-0.0478030\pi\) | |||||||
\(384\) | −320.550 | + | 441.199i | −0.834765 | + | 1.14895i | ||||
\(385\) | −21.5516 | − | 385.195i | −0.0559783 | − | 1.00051i | ||||
\(386\) | 271.919 | − | 197.560i | 0.704452 | − | 0.511815i | ||||
\(387\) | 39.7147 | − | 122.229i | 0.102622 | − | 0.315838i | ||||
\(388\) | 102.021 | − | 33.1486i | 0.262941 | − | 0.0854346i | ||||
\(389\) | 181.774 | + | 559.442i | 0.467285 | + | 1.43816i | 0.856086 | + | 0.516834i | \(0.172889\pi\) |
−0.388801 | + | 0.921322i | \(0.627111\pi\) | |||||||
\(390\) | 1463.38 | − | 475.480i | 3.75225 | − | 1.21918i | ||||
\(391\) | 321.169 | − | 104.354i | 0.821404 | − | 0.266890i | ||||
\(392\) | 188.991 | − | 172.601i | 0.482121 | − | 0.440310i | ||||
\(393\) | 470.594 | − | 341.907i | 1.19744 | − | 0.869992i | ||||
\(394\) | −32.9353 | − | 101.365i | −0.0835922 | − | 0.257270i | ||||
\(395\) | 200.865 | − | 276.467i | 0.508519 | − | 0.699916i | ||||
\(396\) | −133.479 | −0.337069 | ||||||||
\(397\) | −397.439 | − | 129.136i | −1.00111 | − | 0.325279i | −0.237799 | − | 0.971314i | \(-0.576426\pi\) |
−0.763308 | + | 0.646035i | \(0.776426\pi\) | |||||||
\(398\) | 604.060 | − | 831.417i | 1.51774 | − | 2.08899i | ||||
\(399\) | −153.341 | − | 395.288i | −0.384312 | − | 0.990696i | ||||
\(400\) | −284.720 | + | 206.861i | −0.711799 | + | 0.517152i | ||||
\(401\) | 679.711 | 1.69504 | 0.847520 | − | 0.530763i | \(-0.178095\pi\) | ||||
0.847520 | + | 0.530763i | \(0.178095\pi\) | |||||||
\(402\) | −571.863 | − | 787.102i | −1.42254 | − | 1.95796i | ||||
\(403\) | −215.327 | − | 662.707i | −0.534309 | − | 1.64444i | ||||
\(404\) | −687.687 | − | 223.443i | −1.70220 | − | 0.553077i | ||||
\(405\) | −527.858 | + | 726.534i | −1.30335 | + | 1.79391i | ||||
\(406\) | −556.847 | + | 454.191i | −1.37154 | + | 1.11870i | ||||
\(407\) | −227.263 | −0.558385 | ||||||||
\(408\) | −156.796 | + | 482.570i | −0.384305 | + | 1.18277i | ||||
\(409\) | 167.551i | 0.409660i | 0.978798 | + | 0.204830i | \(0.0656641\pi\) | ||||
−0.978798 | + | 0.204830i | \(0.934336\pi\) | |||||||
\(410\) | −237.276 | + | 1111.81i | −0.578722 | + | 2.71174i | ||||
\(411\) | − | 363.468i | − | 0.884350i | ||||||
\(412\) | −432.757 | − | 140.611i | −1.05038 | − | 0.341290i | ||||
\(413\) | −561.858 | − | 148.425i | −1.36043 | − | 0.359381i | ||||
\(414\) | 118.989 | + | 86.4508i | 0.287414 | + | 0.208818i | ||||
\(415\) | −278.731 | − | 202.510i | −0.671642 | − | 0.487976i | ||||
\(416\) | 604.899 | + | 196.544i | 1.45408 | + | 0.472461i | ||||
\(417\) | −145.554 | − | 447.968i | −0.349050 | − | 1.07426i | ||||
\(418\) | 191.437 | + | 263.490i | 0.457982 | + | 0.630359i | ||||
\(419\) | − | 568.612i | − | 1.35707i | −0.734568 | − | 0.678535i | \(-0.762615\pi\) | ||
0.734568 | − | 0.678535i | \(-0.237385\pi\) | |||||||
\(420\) | −458.454 | − | 1181.82i | −1.09156 | − | 2.81386i | ||||
\(421\) | 457.391 | − | 332.314i | 1.08644 | − | 0.789345i | 0.107646 | − | 0.994189i | \(-0.465669\pi\) |
0.978795 | + | 0.204844i | \(0.0656688\pi\) | |||||||
\(422\) | −747.293 | − | 542.940i | −1.77084 | − | 1.28659i | ||||
\(423\) | 161.869 | + | 52.5945i | 0.382670 | + | 0.124337i | ||||
\(424\) | −205.509 | −0.484690 | ||||||||
\(425\) | −868.704 | + | 1195.67i | −2.04401 | + | 2.81334i | ||||
\(426\) | 858.163 | − | 278.834i | 2.01447 | − | 0.654540i | ||||
\(427\) | 243.529 | − | 94.4700i | 0.570325 | − | 0.221241i | ||||
\(428\) | −178.087 | + | 548.097i | −0.416092 | + | 1.28060i | ||||
\(429\) | 106.040 | + | 326.358i | 0.247180 | + | 0.760742i | ||||
\(430\) | −891.675 | + | 289.723i | −2.07366 | + | 0.673774i | ||||
\(431\) | 12.5725 | + | 38.6942i | 0.0291706 | + | 0.0897778i | 0.964582 | − | 0.263784i | \(-0.0849705\pi\) |
−0.935411 | + | 0.353561i | \(0.884971\pi\) | |||||||
\(432\) | −114.377 | + | 37.1634i | −0.264762 | + | 0.0860265i | ||||
\(433\) | 116.612 | + | 37.8895i | 0.269312 | + | 0.0875047i | 0.440560 | − | 0.897723i | \(-0.354780\pi\) |
−0.171248 | + | 0.985228i | \(0.554780\pi\) | |||||||
\(434\) | −912.172 | + | 353.851i | −2.10178 | + | 0.815326i | ||||
\(435\) | 325.143 | + | 1000.69i | 0.747455 | + | 2.30043i | ||||
\(436\) | −282.103 | − | 204.960i | −0.647026 | − | 0.470092i | ||||
\(437\) | − | 210.563i | − | 0.481838i | ||||||
\(438\) | 130.421 | − | 401.396i | 0.297766 | − | 0.916429i | ||||
\(439\) | −305.941 | + | 421.092i | −0.696905 | + | 0.959207i | 0.303076 | + | 0.952967i | \(0.401987\pi\) |
−0.999981 | + | 0.00624092i | \(0.998013\pi\) | |||||||
\(440\) | 169.213 | + | 232.902i | 0.384576 | + | 0.529324i | ||||
\(441\) | −185.082 | + | 20.7757i | −0.419688 | + | 0.0471104i | ||||
\(442\) | 1310.10 | 2.96402 | ||||||||
\(443\) | 94.7567 | − | 68.8448i | 0.213898 | − | 0.155406i | −0.475678 | − | 0.879620i | \(-0.657797\pi\) |
0.689576 | + | 0.724214i | \(0.257797\pi\) | |||||||
\(444\) | −710.177 | + | 230.751i | −1.59950 | + | 0.519708i | ||||
\(445\) | 344.635 | − | 1060.68i | 0.774461 | − | 2.38355i | ||||
\(446\) | 126.919 | − | 174.688i | 0.284571 | − | 0.391678i | ||||
\(447\) | 260.959 | − | 359.179i | 0.583800 | − | 0.803532i | ||||
\(448\) | 181.856 | − | 688.413i | 0.405929 | − | 1.53664i | ||||
\(449\) | 103.440 | − | 318.354i | 0.230378 | − | 0.709030i | −0.767323 | − | 0.641260i | \(-0.778412\pi\) |
0.997701 | − | 0.0677692i | \(-0.0215882\pi\) | |||||||
\(450\) | −643.689 | −1.43042 | ||||||||
\(451\) | −247.953 | − | 52.9166i | −0.549785 | − | 0.117332i | ||||
\(452\) | −152.476 | −0.337335 | ||||||||
\(453\) | 312.552 | + | 101.554i | 0.689960 | + | 0.224182i | ||||
\(454\) | 268.717i | 0.591888i | ||||||||
\(455\) | −749.841 | + | 611.607i | −1.64800 | + | 1.34419i | ||||
\(456\) | 255.957 | + | 185.964i | 0.561310 | + | 0.407815i | ||||
\(457\) | −96.6613 | + | 297.493i | −0.211513 | + | 0.650969i | 0.787870 | + | 0.615841i | \(0.211184\pi\) |
−0.999383 | + | 0.0351276i | \(0.988816\pi\) | |||||||
\(458\) | 851.012 | − | 276.510i | 1.85810 | − | 0.603735i | ||||
\(459\) | −408.587 | + | 296.856i | −0.890167 | + | 0.646744i | ||||
\(460\) | − | 629.537i | − | 1.36856i | ||||||
\(461\) | −48.7184 | − | 67.0551i | −0.105680 | − | 0.145456i | 0.752901 | − | 0.658133i | \(-0.228654\pi\) |
−0.858581 | + | 0.512678i | \(0.828654\pi\) | |||||||
\(462\) | 449.211 | − | 174.258i | 0.972317 | − | 0.377183i | ||||
\(463\) | 36.8838 | + | 26.7977i | 0.0796627 | + | 0.0578784i | 0.626904 | − | 0.779097i | \(-0.284322\pi\) |
−0.547241 | + | 0.836975i | \(0.684322\pi\) | |||||||
\(464\) | −65.9228 | + | 202.889i | −0.142075 | + | 0.437262i | ||||
\(465\) | 1432.62i | 3.08089i | ||||||||
\(466\) | 211.759 | + | 153.852i | 0.454419 | + | 0.330155i | ||||
\(467\) | −655.988 | + | 213.143i | −1.40469 | + | 0.456410i | −0.910703 | − | 0.413062i | \(-0.864459\pi\) |
−0.493982 | + | 0.869472i | \(0.664459\pi\) | |||||||
\(468\) | 196.782 | + | 270.848i | 0.420475 | + | 0.578734i | ||||
\(469\) | 514.304 | + | 331.417i | 1.09660 | + | 0.706645i | ||||
\(470\) | −383.682 | − | 1180.85i | −0.816345 | − | 2.51245i | ||||
\(471\) | 135.983 | + | 418.514i | 0.288712 | + | 0.888564i | ||||
\(472\) | 412.418 | − | 134.003i | 0.873766 | − | 0.283904i | ||||
\(473\) | −64.6131 | − | 198.859i | −0.136603 | − | 0.420420i | ||||
\(474\) | 405.903 | + | 131.886i | 0.856335 | + | 0.278240i | ||||
\(475\) | 541.661 | + | 745.532i | 1.14034 | + | 1.56954i | ||||
\(476\) | −60.2929 | − | 1077.62i | −0.126666 | − | 2.26391i | ||||
\(477\) | 120.982 | + | 87.8986i | 0.253631 | + | 0.184274i | ||||
\(478\) | 270.635 | 0.566182 | ||||||||
\(479\) | 362.873 | + | 117.905i | 0.757563 | + | 0.246147i | 0.662232 | − | 0.749298i | \(-0.269609\pi\) |
0.0953308 | + | 0.995446i | \(0.469609\pi\) | |||||||
\(480\) | −1057.91 | − | 768.616i | −2.20398 | − | 1.60128i | ||||
\(481\) | 335.043 | + | 461.147i | 0.696555 | + | 0.958726i | ||||
\(482\) | 355.036 | + | 488.665i | 0.736589 | + | 1.01383i | ||||
\(483\) | −301.175 | − | 79.5606i | −0.623550 | − | 0.164722i | ||||
\(484\) | 380.232 | − | 276.255i | 0.785603 | − | 0.570774i | ||||
\(485\) | 52.0237 | + | 160.112i | 0.107265 | + | 0.330129i | ||||
\(486\) | −571.333 | − | 185.637i | −1.17558 | − | 0.381970i | ||||
\(487\) | −660.322 | − | 479.752i | −1.35590 | − | 0.985118i | −0.998694 | − | 0.0510915i | \(-0.983730\pi\) |
−0.357204 | − | 0.934026i | \(-0.616270\pi\) | |||||||
\(488\) | −114.569 | + | 157.690i | −0.234772 | + | 0.323135i | ||||
\(489\) | − | 343.977i | − | 0.703428i | ||||||
\(490\) | 916.239 | + | 1003.24i | 1.86987 | + | 2.04744i | ||||
\(491\) | −393.114 | −0.800640 | −0.400320 | − | 0.916376i | \(-0.631101\pi\) | ||||
−0.400320 | + | 0.916376i | \(0.631101\pi\) | |||||||
\(492\) | −828.561 | + | 86.3985i | −1.68407 | + | 0.175607i | ||||
\(493\) | 895.872i | 1.81718i | ||||||||
\(494\) | 252.431 | − | 776.902i | 0.510993 | − | 1.57268i | ||||
\(495\) | − | 209.483i | − | 0.423199i | ||||||
\(496\) | −170.730 | + | 234.989i | −0.344213 | + | 0.473769i | ||||
\(497\) | −439.727 | + | 358.662i | −0.884762 | + | 0.721655i | ||||
\(498\) | 132.966 | − | 409.227i | 0.267000 | − | 0.821742i | ||||
\(499\) | −257.976 | − | 793.967i | −0.516985 | − | 1.59112i | −0.779641 | − | 0.626227i | \(-0.784598\pi\) |
0.262656 | − | 0.964890i | \(-0.415402\pi\) | |||||||
\(500\) | 875.685 | + | 1205.28i | 1.75137 | + | 2.41056i | ||||
\(501\) | −217.866 | −0.434863 | ||||||||
\(502\) | −405.624 | − | 558.294i | −0.808017 | − | 1.11214i | ||||
\(503\) | −239.447 | − | 329.571i | −0.476039 | − | 0.655211i | 0.501699 | − | 0.865042i | \(-0.332709\pi\) |
−0.977738 | + | 0.209831i | \(0.932709\pi\) | |||||||
\(504\) | 107.695 | − | 87.8414i | 0.213681 | − | 0.174289i | ||||
\(505\) | 350.673 | − | 1079.26i | 0.694402 | − | 2.13715i | ||||
\(506\) | 239.287 | 0.472900 | ||||||||
\(507\) | 150.489 | − | 207.130i | 0.296822 | − | 0.408540i | ||||
\(508\) | −36.0932 | − | 111.083i | −0.0710496 | − | 0.218668i | ||||
\(509\) | 113.768 | + | 156.588i | 0.223512 | + | 0.307638i | 0.906016 | − | 0.423244i | \(-0.139109\pi\) |
−0.682504 | + | 0.730882i | \(0.739109\pi\) | |||||||
\(510\) | −2561.68 | − | 832.340i | −5.02290 | − | 1.63204i | ||||
\(511\) | 14.8269 | + | 265.003i | 0.0290155 | + | 0.518598i | ||||
\(512\) | −123.671 | − | 380.621i | −0.241545 | − | 0.743400i | ||||
\(513\) | 97.3116 | + | 299.494i | 0.189691 | + | 0.583810i | ||||
\(514\) | 1200.79 | − | 390.161i | 2.33617 | − | 0.759068i | ||||
\(515\) | 220.677 | − | 679.172i | 0.428498 | − | 1.31878i | ||||
\(516\) | −403.821 | − | 555.812i | −0.782599 | − | 1.07716i | ||||
\(517\) | 263.350 | − | 85.5677i | 0.509382 | − | 0.165508i | ||||
\(518\) | 620.211 | − | 505.874i | 1.19732 | − | 0.976591i | ||||
\(519\) | −703.877 | −1.35622 | ||||||||
\(520\) | 223.127 | − | 686.714i | 0.429090 | − | 1.32060i | ||||
\(521\) | 395.315 | − | 544.104i | 0.758761 | − | 1.04435i | −0.238555 | − | 0.971129i | \(-0.576674\pi\) |
0.997316 | − | 0.0732163i | \(-0.0233263\pi\) | |||||||
\(522\) | −315.665 | + | 229.344i | −0.604723 | + | 0.439357i | ||||
\(523\) | −227.226 | − | 312.750i | −0.434467 | − | 0.597992i | 0.534505 | − | 0.845166i | \(-0.320498\pi\) |
−0.968971 | + | 0.247174i | \(0.920498\pi\) | |||||||
\(524\) | − | 923.289i | − | 1.76200i | ||||||
\(525\) | 1271.02 | − | 493.056i | 2.42099 | − | 0.939155i | ||||
\(526\) | 215.005 | + | 661.718i | 0.408755 | + | 1.25802i | ||||
\(527\) | −376.935 | + | 1160.09i | −0.715246 | + | 2.20130i | ||||
\(528\) | 84.0780 | − | 115.723i | 0.159239 | − | 0.219173i | ||||
\(529\) | 302.813 | + | 220.007i | 0.572426 | + | 0.415892i | ||||
\(530\) | − | 1090.92i | − | 2.05835i | ||||||
\(531\) | −300.103 | − | 97.5094i | −0.565166 | − | 0.183634i | ||||
\(532\) | −650.659 | − | 171.883i | −1.22304 | − | 0.323088i | ||||
\(533\) | 258.171 | + | 581.143i | 0.484373 | + | 1.09033i | ||||
\(534\) | 1392.86 | 2.60835 | ||||||||
\(535\) | −860.187 | − | 279.492i | −1.60783 | − | 0.522415i | ||||
\(536\) | −456.555 | −0.851781 | ||||||||
\(537\) | 505.247 | − | 695.413i | 0.940869 | − | 1.29500i | ||||
\(538\) | −209.712 | + | 288.644i | −0.389800 | + | 0.536514i | ||||
\(539\) | −223.741 | + | 204.337i | −0.415103 | + | 0.379104i | ||||
\(540\) | 290.940 | + | 895.421i | 0.538777 | + | 1.65819i | ||||
\(541\) | −339.775 | + | 246.861i | −0.628050 | + | 0.456305i | −0.855724 | − | 0.517432i | \(-0.826888\pi\) |
0.227674 | + | 0.973737i | \(0.426888\pi\) | |||||||
\(542\) | 1430.81i | 2.63986i | ||||||||
\(543\) | −546.642 | + | 397.159i | −1.00671 | + | 0.731416i | ||||
\(544\) | −654.430 | − | 900.746i | −1.20300 | − | 1.65578i | ||||
\(545\) | 321.666 | − | 442.735i | 0.590213 | − | 0.812358i | ||||
\(546\) | −1015.84 | − | 654.608i | −1.86052 | − | 1.19892i | ||||
\(547\) | 591.461 | 1.08128 | 0.540641 | − | 0.841253i | \(-0.318182\pi\) | ||||
0.540641 | + | 0.841253i | \(0.318182\pi\) | |||||||
\(548\) | −466.736 | − | 339.104i | −0.851709 | − | 0.618803i | ||||
\(549\) | 134.892 | − | 43.8291i | 0.245705 | − | 0.0798344i | ||||
\(550\) | −847.234 | + | 615.551i | −1.54042 | + | 1.11918i | ||||
\(551\) | 531.261 | + | 172.617i | 0.964177 | + | 0.313280i | ||||
\(552\) | 221.070 | − | 71.8299i | 0.400489 | − | 0.130127i | ||||
\(553\) | −267.979 | + | 14.9934i | −0.484591 | + | 0.0271128i | ||||
\(554\) | 100.598 | + | 309.610i | 0.181585 | + | 0.558862i | ||||
\(555\) | −362.142 | − | 1114.56i | −0.652507 | − | 2.00821i | ||||
\(556\) | −711.043 | − | 231.032i | −1.27885 | − | 0.415525i | ||||
\(557\) | −383.887 | + | 278.910i | −0.689204 | + | 0.500736i | −0.876398 | − | 0.481587i | \(-0.840061\pi\) |
0.187194 | + | 0.982323i | \(0.440061\pi\) | |||||||
\(558\) | −505.258 | + | 164.168i | −0.905480 | + | 0.294208i | ||||
\(559\) | −308.255 | + | 424.277i | −0.551441 | + | 0.758993i | ||||
\(560\) | 389.978 | + | 103.020i | 0.696390 | + | 0.183963i | ||||
\(561\) | 185.626 | − | 571.298i | 0.330884 | − | 1.01836i | ||||
\(562\) | −332.968 | − | 241.916i | −0.592470 | − | 0.430455i | ||||
\(563\) | −405.419 | − | 558.011i | −0.720104 | − | 0.991138i | −0.999520 | − | 0.0309680i | \(-0.990141\pi\) |
0.279416 | − | 0.960170i | \(-0.409859\pi\) | |||||||
\(564\) | 736.066 | − | 534.784i | 1.30508 | − | 0.948198i | ||||
\(565\) | − | 239.296i | − | 0.423533i | ||||||
\(566\) | 659.404 | + | 907.592i | 1.16502 | + | 1.60352i | ||||
\(567\) | 704.228 | − | 39.4014i | 1.24202 | − | 0.0694911i | ||||
\(568\) | 130.848 | − | 402.707i | 0.230365 | − | 0.708992i | ||||
\(569\) | 837.919 | + | 608.783i | 1.47262 | + | 1.06992i | 0.979845 | + | 0.199759i | \(0.0640160\pi\) |
0.492771 | + | 0.870159i | \(0.335984\pi\) | |||||||
\(570\) | −987.172 | + | 1358.73i | −1.73188 | + | 2.38373i | ||||
\(571\) | 615.173 | 1.07736 | 0.538680 | − | 0.842510i | \(-0.318923\pi\) | ||||
0.538680 | + | 0.842510i | \(0.318923\pi\) | |||||||
\(572\) | 518.016 | + | 168.314i | 0.905622 | + | 0.294255i | ||||
\(573\) | − | 431.346i | − | 0.752785i | ||||||
\(574\) | 794.465 | − | 407.518i | 1.38409 | − | 0.709961i | ||||
\(575\) | 677.052 | 1.17748 | ||||||||
\(576\) | 119.473 | − | 367.700i | 0.207418 | − | 0.638367i | ||||
\(577\) | 675.899i | 1.17140i | 0.810527 | + | 0.585701i | \(0.199181\pi\) | ||||
−0.810527 | + | 0.585701i | \(0.800819\pi\) | |||||||
\(578\) | −1127.97 | − | 819.520i | −1.95151 | − | 1.41786i | ||||
\(579\) | −227.199 | + | 312.712i | −0.392399 | + | 0.540090i | ||||
\(580\) | 1588.35 | + | 516.087i | 2.73854 | + | 0.889805i | ||||
\(581\) | 15.1162 | + | 270.174i | 0.0260175 | + | 0.465015i | ||||
\(582\) | −170.101 | + | 123.586i | −0.292270 | + | 0.212346i | ||||
\(583\) | 243.295 | 0.417315 | ||||||||
\(584\) | −116.414 | − | 160.230i | −0.199339 | − | 0.274367i | ||||
\(585\) | −425.070 | + | 308.832i | −0.726616 | + | 0.527917i | ||||
\(586\) | −639.916 | + | 880.768i | −1.09201 | + | 1.50302i | ||||
\(587\) | 381.166 | + | 123.848i | 0.649345 | + | 0.210985i | 0.615125 | − | 0.788429i | \(-0.289105\pi\) |
0.0342198 | + | 0.999414i | \(0.489105\pi\) | |||||||
\(588\) | −491.698 | + | 865.710i | −0.836221 | + | 1.47230i | ||||
\(589\) | 615.315 | + | 447.052i | 1.04468 | + | 0.759002i | ||||
\(590\) | 711.341 | + | 2189.28i | 1.20566 | + | 3.71065i | ||||
\(591\) | 72.0451 | + | 99.1616i | 0.121904 | + | 0.167786i | ||||
\(592\) | 73.4242 | − | 225.977i | 0.124027 | − | 0.381717i | ||||
\(593\) | −589.395 | + | 191.506i | −0.993921 | + | 0.322945i | −0.760434 | − | 0.649415i | \(-0.775014\pi\) |
−0.233487 | + | 0.972360i | \(0.575014\pi\) | |||||||
\(594\) | −340.350 | + | 110.586i | −0.572979 | + | 0.186172i | ||||
\(595\) | 1691.23 | − | 94.6241i | 2.84240 | − | 0.159032i | ||||
\(596\) | −217.763 | − | 670.205i | −0.365374 | − | 1.12451i | ||||
\(597\) | −365.216 | + | 1124.02i | −0.611752 | + | 1.88278i | ||||
\(598\) | −352.770 | − | 485.547i | −0.589917 | − | 0.811951i | ||||
\(599\) | 169.599 | + | 521.972i | 0.283137 | + | 0.871406i | 0.986951 | + | 0.161022i | \(0.0514789\pi\) |
−0.703814 | + | 0.710384i | \(0.748521\pi\) | |||||||
\(600\) | −597.954 | + | 823.013i | −0.996590 | + | 1.37169i | ||||
\(601\) | − | 454.153i | − | 0.755663i | −0.925874 | − | 0.377831i | \(-0.876670\pi\) | ||
0.925874 | − | 0.377831i | \(-0.123330\pi\) | |||||||
\(602\) | 618.981 | + | 398.870i | 1.02821 | + | 0.662575i | ||||
\(603\) | 268.772 | + | 195.274i | 0.445725 | + | 0.323838i | ||||
\(604\) | 422.009 | − | 306.608i | 0.698690 | − | 0.507628i | ||||
\(605\) | 433.556 | + | 596.739i | 0.716622 | + | 0.986345i | ||||
\(606\) | 1417.26 | 2.33872 | ||||||||
\(607\) | 219.809 | + | 302.542i | 0.362124 | + | 0.498421i | 0.950739 | − | 0.309992i | \(-0.100327\pi\) |
−0.588615 | + | 0.808414i | \(0.700327\pi\) | |||||||
\(608\) | −660.248 | + | 214.528i | −1.08593 | + | 0.352841i | ||||
\(609\) | 447.634 | − | 694.655i | 0.735032 | − | 1.14065i | ||||
\(610\) | −837.083 | − | 608.177i | −1.37227 | − | 0.997011i | ||||
\(611\) | −561.874 | − | 408.225i | −0.919597 | − | 0.668126i | ||||
\(612\) | − | 586.051i | − | 0.957600i | ||||||
\(613\) | 185.826 | − | 571.913i | 0.303142 | − | 0.932974i | −0.677222 | − | 0.735778i | \(-0.736817\pi\) |
0.980364 | − | 0.197196i | \(-0.0631835\pi\) | |||||||
\(614\) | 27.3696i | 0.0445759i | ||||||||
\(615\) | −135.594 | − | 1300.35i | −0.220479 | − | 2.11439i | ||||
\(616\) | 57.7485 | − | 218.606i | 0.0937476 | − | 0.354879i | ||||
\(617\) | 204.585 | − | 629.648i | 0.331580 | − | 1.02050i | −0.636801 | − | 0.771028i | \(-0.719743\pi\) |
0.968382 | − | 0.249472i | \(-0.0802571\pi\) | |||||||
\(618\) | 891.875 | 1.44316 | ||||||||
\(619\) | 532.229 | − | 732.550i | 0.859820 | − | 1.18344i | −0.121792 | − | 0.992556i | \(-0.538864\pi\) |
0.981612 | − | 0.190885i | \(-0.0611359\pi\) | |||||||
\(620\) | 1839.65 | + | 1336.59i | 2.96718 | + | 2.15578i | ||||
\(621\) | 220.040 | + | 71.4954i | 0.354332 | + | 0.115129i | ||||
\(622\) | −1477.25 | + | 479.987i | −2.37500 | + | 0.771684i | ||||
\(623\) | −816.640 | + | 316.792i | −1.31082 | + | 0.508495i | ||||
\(624\) | −358.771 | −0.574953 | ||||||||
\(625\) | −790.611 | + | 574.413i | −1.26498 | + | 0.919061i | ||||
\(626\) | −310.706 | − | 427.650i | −0.496336 | − | 0.683147i | ||||
\(627\) | −303.019 | − | 220.156i | −0.483284 | − | 0.351127i | ||||
\(628\) | 664.290 | + | 215.841i | 1.05779 | + | 0.343696i | ||||
\(629\) | − | 997.815i | − | 1.58635i | ||||||
\(630\) | 466.298 | + | 571.690i | 0.740156 | + | 0.907445i | ||||
\(631\) | −85.8696 | − | 264.279i | −0.136085 | − | 0.418826i | 0.859672 | − | 0.510846i | \(-0.170668\pi\) |
−0.995757 | + | 0.0920196i | \(0.970668\pi\) | |||||||
\(632\) | 162.029 | − | 117.721i | 0.256375 | − | 0.186267i | ||||
\(633\) | 1010.29 | + | 328.263i | 1.59603 | + | 0.518583i | ||||
\(634\) | −143.586 | − | 441.911i | −0.226476 | − | 0.697021i | ||||
\(635\) | 174.335 | − | 56.6449i | 0.274544 | − | 0.0892046i | ||||
\(636\) | 760.276 | − | 247.028i | 1.19540 | − | 0.388410i | ||||
\(637\) | 744.478 | + | 152.756i | 1.16873 | + | 0.239805i | ||||
\(638\) | −196.165 | + | 603.733i | −0.307468 | + | 0.946290i | ||||
\(639\) | −249.272 | + | 181.107i | −0.390098 | + | 0.283422i | ||||
\(640\) | −1292.01 | + | 419.800i | −2.01877 | + | 0.655938i | ||||
\(641\) | −316.615 | − | 230.034i | −0.493940 | − | 0.358868i | 0.312758 | − | 0.949833i | \(-0.398747\pi\) |
−0.806697 | + | 0.590965i | \(0.798747\pi\) | |||||||
\(642\) | − | 1129.58i | − | 1.75947i | ||||||
\(643\) | −780.471 | − | 253.590i | −1.21380 | − | 0.394386i | −0.368977 | − | 0.929438i | \(-0.620292\pi\) |
−0.844819 | + | 0.535052i | \(0.820292\pi\) | |||||||
\(644\) | −383.152 | + | 312.517i | −0.594956 | + | 0.485275i | ||||
\(645\) | 872.296 | − | 633.760i | 1.35240 | − | 0.982574i | ||||
\(646\) | −1156.87 | + | 840.517i | −1.79083 | + | 1.30111i | ||||
\(647\) | 598.818i | 0.925530i | 0.886481 | + | 0.462765i | \(0.153143\pi\) | ||||
−0.886481 | + | 0.462765i | \(0.846857\pi\) | |||||||
\(648\) | −425.800 | + | 309.362i | −0.657099 | + | 0.477410i | ||||
\(649\) | −488.247 | + | 158.641i | −0.752307 | + | 0.244439i | ||||
\(650\) | 2498.07 | + | 811.674i | 3.84319 | + | 1.24873i | ||||
\(651\) | 871.925 | − | 711.185i | 1.33936 | − | 1.09245i | ||||
\(652\) | −441.707 | − | 320.919i | −0.677465 | − | 0.492207i | ||||
\(653\) | 1153.82 | 1.76695 | 0.883476 | − | 0.468477i | \(-0.155197\pi\) | ||||
0.883476 | + | 0.468477i | \(0.155197\pi\) | |||||||
\(654\) | 650.014 | + | 211.202i | 0.993906 | + | 0.322940i | ||||
\(655\) | 1449.02 | 2.21224 | ||||||||
\(656\) | 132.726 | − | 229.453i | 0.202326 | − | 0.349777i | ||||
\(657\) | 144.119i | 0.219359i | ||||||||
\(658\) | −528.227 | + | 819.721i | −0.802776 | + | 1.24578i | ||||
\(659\) | −992.690 | −1.50636 | −0.753179 | − | 0.657816i | \(-0.771481\pi\) | ||||
−0.753179 | + | 0.657816i | \(0.771481\pi\) | |||||||
\(660\) | −905.959 | − | 658.218i | −1.37267 | − | 0.997300i | ||||
\(661\) | −518.404 | + | 713.522i | −0.784272 | + | 1.07946i | 0.210526 | + | 0.977588i | \(0.432482\pi\) |
−0.994798 | + | 0.101869i | \(0.967518\pi\) | |||||||
\(662\) | 496.220 | − | 1527.21i | 0.749578 | − | 2.30696i | ||||
\(663\) | −1432.90 | + | 465.578i | −2.16124 | + | 0.702229i | ||||
\(664\) | −118.685 | − | 163.356i | −0.178743 | − | 0.246018i | ||||
\(665\) | 269.754 | − | 1021.15i | 0.405646 | − | 1.53556i | ||||
\(666\) | 351.586 | − | 255.442i | 0.527906 | − | 0.383546i | ||||
\(667\) | 332.027 | − | 241.231i | 0.497791 | − | 0.361666i | ||||
\(668\) | −203.262 | + | 279.767i | −0.304285 | + | 0.418813i | ||||
\(669\) | −76.7353 | + | 236.167i | −0.114701 | + | 0.353015i | ||||
\(670\) | − | 2423.58i | − | 3.61728i | ||||||
\(671\) | 135.634 | − | 186.684i | 0.202137 | − | 0.278218i | ||||
\(672\) | 57.3726 | + | 1025.43i | 0.0853759 | + | 1.52594i | ||||
\(673\) | −811.620 | + | 589.676i | −1.20597 | + | 0.876191i | −0.994859 | − | 0.101271i | \(-0.967709\pi\) |
−0.211114 | + | 0.977461i | \(0.567709\pi\) | |||||||
\(674\) | 314.839 | − | 968.976i | 0.467121 | − | 1.43765i | ||||
\(675\) | −963.004 | + | 312.899i | −1.42667 | + | 0.463554i | ||||
\(676\) | −125.579 | − | 386.491i | −0.185767 | − | 0.571732i | ||||
\(677\) | −1242.21 | + | 403.620i | −1.83488 | + | 0.596189i | −0.836007 | + | 0.548718i | \(0.815116\pi\) |
−0.998873 | + | 0.0474702i | \(0.984884\pi\) | |||||||
\(678\) | 284.232 | − | 92.3525i | 0.419221 | − | 0.136213i | ||||
\(679\) | 71.6226 | − | 111.147i | 0.105482 | − | 0.163692i | ||||
\(680\) | −1022.58 | + | 742.945i | −1.50379 | + | 1.09257i | ||||
\(681\) | −95.4957 | − | 293.906i | −0.140229 | − | 0.431579i | ||||
\(682\) | −508.037 | + | 699.252i | −0.744922 | + | 1.02530i | ||||
\(683\) | 206.661 | 0.302579 | 0.151289 | − | 0.988490i | \(-0.451657\pi\) | ||||
0.151289 | + | 0.988490i | \(0.451657\pi\) | |||||||
\(684\) | −347.534 | − | 112.921i | −0.508091 | − | 0.165089i | ||||
\(685\) | 532.192 | − | 732.500i | 0.776923 | − | 1.06934i | ||||
\(686\) | 155.756 | − | 1055.68i | 0.227050 | − | 1.53889i | ||||
\(687\) | −832.517 | + | 604.859i | −1.21181 | + | 0.880435i | ||||
\(688\) | 218.609 | 0.317745 | ||||||||
\(689\) | −358.678 | − | 493.678i | −0.520578 | − | 0.716514i | ||||
\(690\) | 381.303 | + | 1173.53i | 0.552612 | + | 1.70077i | ||||
\(691\) | −244.983 | − | 79.5998i | −0.354534 | − | 0.115195i | 0.126335 | − | 0.991988i | \(-0.459679\pi\) |
−0.480869 | + | 0.876793i | \(0.659679\pi\) | |||||||
\(692\) | −656.695 | + | 903.863i | −0.948981 | + | 1.30616i | ||||
\(693\) | −127.497 | + | 103.993i | −0.183978 | + | 0.150061i | ||||
\(694\) | 453.494 | 0.653449 | ||||||||
\(695\) | 362.583 | − | 1115.92i | 0.521702 | − | 1.60563i | ||||
\(696\) | 616.655i | 0.885998i | ||||||||
\(697\) | 232.334 | − | 1088.66i | 0.333335 | − | 1.56192i | ||||
\(698\) | − | 562.058i | − | 0.805241i | ||||||
\(699\) | −286.284 | − | 93.0193i | −0.409562 | − | 0.133075i | ||||
\(700\) | 552.678 | − | 2092.15i | 0.789540 | − | 2.98878i | ||||
\(701\) | −533.129 | − | 387.341i | −0.760526 | − | 0.552555i | 0.138545 | − | 0.990356i | \(-0.455757\pi\) |
−0.899072 | + | 0.437801i | \(0.855757\pi\) | |||||||
\(702\) | 726.157 | + | 527.584i | 1.03441 | + | 0.751544i | ||||
\(703\) | −591.715 | − | 192.260i | −0.841699 | − | 0.273485i | ||||
\(704\) | −194.374 | − | 598.222i | −0.276100 | − | 0.849747i | ||||
\(705\) | 839.293 | + | 1155.19i | 1.19049 | + | 1.63856i | ||||
\(706\) | 51.8753i | 0.0734778i | ||||||||
\(707\) | −830.947 | + | 322.342i | −1.17531 | + | 0.455930i | ||||
\(708\) | −1364.66 | + | 991.481i | −1.92748 | + | 1.40040i | ||||
\(709\) | 582.270 | + | 423.044i | 0.821256 | + | 0.596677i | 0.917072 | − | 0.398722i | \(-0.130546\pi\) |
−0.0958162 | + | 0.995399i | \(0.530546\pi\) | |||||||
\(710\) | 2137.73 | + | 694.592i | 3.01089 | + | 0.978299i | ||||
\(711\) | −145.737 | −0.204974 | ||||||||
\(712\) | 384.190 | − | 528.792i | 0.539593 | − | 0.742686i | ||||
\(713\) | 531.446 | − | 172.677i | 0.745366 | − | 0.242184i | ||||
\(714\) | 765.096 | + | 1972.29i | 1.07156 | + | 2.76232i | ||||
\(715\) | −264.153 | + | 812.978i | −0.369444 | + | 1.13703i | ||||
\(716\) | −421.615 | − | 1297.60i | −0.588847 | − | 1.81229i | ||||
\(717\) | −296.003 | + | 96.1773i | −0.412836 | + | 0.134139i | ||||
\(718\) | −197.905 | − | 609.088i | −0.275633 | − | 0.848311i | ||||
\(719\) | 315.147 | − | 102.397i | 0.438313 | − | 0.142416i | −0.0815443 | − | 0.996670i | \(-0.525985\pi\) |
0.519857 | + | 0.854253i | \(0.325985\pi\) | |||||||
\(720\) | 208.298 | + | 67.6800i | 0.289302 | + | 0.0940001i | ||||
\(721\) | −522.910 | + | 202.848i | −0.725257 | + | 0.281343i | ||||
\(722\) | −71.5312 | − | 220.150i | −0.0990736 | − | 0.304917i | ||||
\(723\) | −561.975 | − | 408.299i | −0.777283 | − | 0.564729i | ||||
\(724\) | 1072.49i | 1.48134i | ||||||||
\(725\) | −555.039 | + | 1708.23i | −0.765571 | + | 2.35619i | ||||
\(726\) | −541.471 | + | 745.271i | −0.745828 | + | 1.02654i | ||||
\(727\) | −234.150 | − | 322.279i | −0.322077 | − | 0.443300i | 0.617023 | − | 0.786945i | \(-0.288338\pi\) |
−0.939100 | + | 0.343645i | \(0.888338\pi\) | |||||||
\(728\) | −528.717 | + | 205.101i | −0.726260 | + | 0.281732i | ||||
\(729\) | −215.993 | −0.296286 | ||||||||
\(730\) | 850.567 | − | 617.973i | 1.16516 | − | 0.846538i | ||||
\(731\) | 873.105 | − | 283.689i | 1.19440 | − | 0.388084i | ||||
\(732\) | 234.295 | − | 721.087i | 0.320076 | − | 0.985092i | ||||
\(733\) | 314.598 | − | 433.007i | 0.429193 | − | 0.590733i | −0.538575 | − | 0.842578i | \(-0.681037\pi\) |
0.967768 | + | 0.251844i | \(0.0810371\pi\) | |||||||
\(734\) | 335.229 | − | 461.403i | 0.456716 | − | 0.628615i | ||||
\(735\) | −1358.65 | − | 771.674i | −1.84851 | − | 1.04990i | ||||
\(736\) | −157.615 | + | 485.088i | −0.214150 | + | 0.659087i | ||||
\(737\) | 540.500 | 0.733378 | ||||||||
\(738\) | 443.072 | − | 196.833i | 0.600369 | − | 0.266712i | ||||
\(739\) | 161.618 | 0.218698 | 0.109349 | − | 0.994003i | \(-0.465123\pi\) | ||||
0.109349 | + | 0.994003i | \(0.465123\pi\) | |||||||
\(740\) | −1769.09 | − | 574.813i | −2.39067 | − | 0.776775i | ||||
\(741\) | 939.434i | 1.26779i | ||||||||
\(742\) | −663.963 | + | 541.560i | −0.894829 | + | 0.729866i | ||||
\(743\) | 1076.04 | + | 781.786i | 1.44823 | + | 1.05220i | 0.986240 | + | 0.165318i | \(0.0528650\pi\) |
0.461992 | + | 0.886884i | \(0.347135\pi\) | |||||||
\(744\) | −259.455 | + | 798.520i | −0.348730 | + | 1.07328i | ||||
\(745\) | 1051.83 | − | 341.759i | 1.41185 | − | 0.458737i | ||||
\(746\) | −1022.90 | + | 743.182i | −1.37118 | + | 0.996223i | ||||
\(747\) | 146.930i | 0.196694i | ||||||||
\(748\) | −560.433 | − | 771.370i | −0.749242 | − | 1.03124i | ||||
\(749\) | 256.912 | + | 662.278i | 0.343006 | + | 0.884216i | ||||
\(750\) | −2362.40 | − | 1716.38i | −3.14986 | − | 2.28851i | ||||
\(751\) | 313.058 | − | 963.494i | 0.416855 | − | 1.28295i | −0.493726 | − | 0.869617i | \(-0.664365\pi\) |
0.910581 | − | 0.413330i | \(-0.135635\pi\) | |||||||
\(752\) | 289.505i | 0.384980i | ||||||||
\(753\) | 642.050 | + | 466.477i | 0.852656 | + | 0.619491i | ||||
\(754\) | 1514.25 | − | 492.011i | 2.00829 | − | 0.652534i | ||||
\(755\) | 481.192 | + | 662.304i | 0.637341 | + | 0.877224i | ||||
\(756\) | 400.546 | − | 621.581i | 0.529822 | − | 0.822198i | ||||
\(757\) | 391.505 | + | 1204.93i | 0.517180 | + | 1.59172i | 0.779280 | + | 0.626676i | \(0.215585\pi\) |
−0.262100 | + | 0.965041i | \(0.584415\pi\) | |||||||
\(758\) | −22.4278 | − | 69.0257i | −0.0295881 | − | 0.0910629i | ||||
\(759\) | −261.717 | + | 85.0370i | −0.344818 | + | 0.112038i | ||||
\(760\) | 243.543 | + | 749.549i | 0.320452 | + | 0.986249i | ||||
\(761\) | −685.202 | − | 222.636i | −0.900397 | − | 0.292557i | −0.177996 | − | 0.984031i | \(-0.556961\pi\) |
−0.722401 | + | 0.691475i | \(0.756961\pi\) | |||||||
\(762\) | 134.564 | + | 185.211i | 0.176593 | + | 0.243059i | ||||
\(763\) | −429.142 | + | 24.0104i | −0.562440 | + | 0.0314685i | ||||
\(764\) | −553.900 | − | 402.432i | −0.725000 | − | 0.526744i | ||||
\(765\) | 919.753 | 1.20229 | ||||||||
\(766\) | 339.095 | + | 110.178i | 0.442682 | + | 0.143836i | ||||
\(767\) | 1041.71 | + | 756.843i | 1.35816 | + | 0.986758i | ||||
\(768\) | −141.609 | − | 194.908i | −0.184387 | − | 0.253786i | ||||
\(769\) | 160.957 | + | 221.538i | 0.209307 | + | 0.288086i | 0.900744 | − | 0.434350i | \(-0.143022\pi\) |
−0.691437 | + | 0.722437i | \(0.743022\pi\) | |||||||
\(770\) | 1160.45 | + | 306.553i | 1.50708 | + | 0.398121i | ||||
\(771\) | −1174.69 | + | 853.466i | −1.52360 | + | 1.10696i | ||||
\(772\) | 189.591 | + | 583.502i | 0.245584 | + | 0.755831i | ||||
\(773\) | −1260.35 | − | 409.514i | −1.63047 | − | 0.529772i | −0.656090 | − | 0.754682i | \(-0.727791\pi\) |
−0.974379 | + | 0.224911i | \(0.927791\pi\) | |||||||
\(774\) | 323.475 | + | 235.019i | 0.417927 | + | 0.303642i | ||||
\(775\) | −1437.47 | + | 1978.50i | −1.85479 | + | 2.55291i | ||||
\(776\) | 98.6663i | 0.127147i | ||||||||
\(777\) | −498.571 | + | 773.701i | −0.641662 | + | 0.995754i | ||||
\(778\) | −1830.05 | −2.35225 | ||||||||
\(779\) | −600.819 | − | 347.540i | −0.771269 | − | 0.446136i | ||||
\(780\) | 2808.69i | 3.60089i | ||||||||
\(781\) | −154.906 | + | 476.752i | −0.198343 | + | 0.610437i | ||||
\(782\) | 1050.61i | 1.34349i | ||||||||
\(783\) | −360.772 | + | 496.561i | −0.460757 | + | 0.634177i | ||||
\(784\) | −130.894 | − | 288.492i | −0.166957 | − | 0.367974i | ||||
\(785\) | −338.743 | + | 1042.54i | −0.431519 | + | 1.32808i | ||||
\(786\) | 559.224 | + | 1721.11i | 0.711481 | + | 2.18971i | ||||
\(787\) | 694.822 | + | 956.340i | 0.882874 | + | 1.21517i | 0.975617 | + | 0.219482i | \(0.0704367\pi\) |
−0.0927425 | + | 0.995690i | \(0.529563\pi\) | |||||||
\(788\) | 194.551 | 0.246892 | ||||||||
\(789\) | −470.318 | − | 647.337i | −0.596094 | − | 0.820452i | ||||
\(790\) | 624.911 | + | 860.117i | 0.791027 | + | 1.08876i | ||||
\(791\) | −145.642 | + | 118.792i | −0.184123 | + | 0.150180i | ||||
\(792\) | 37.9387 | − | 116.763i | 0.0479023 | − | 0.147428i | ||||
\(793\) | −578.766 | −0.729844 | ||||||||
\(794\) | 764.184 | − | 1051.81i | 0.962448 | − | 1.32470i | ||||
\(795\) | 387.688 | + | 1193.18i | 0.487658 | + | 1.50086i | ||||
\(796\) | 1102.64 | + | 1517.66i | 1.38523 | + | 1.90660i | ||||
\(797\) | −267.531 | − | 86.9262i | −0.335673 | − | 0.109067i | 0.136331 | − | 0.990663i | \(-0.456469\pi\) |
−0.472004 | + | 0.881597i | \(0.656469\pi\) | |||||||
\(798\) | 1317.01 | − | 73.6865i | 1.65039 | − | 0.0923390i | ||||
\(799\) | 375.692 | + | 1156.26i | 0.470202 | + | 1.44713i | ||||
\(800\) | −689.798 | − | 2122.98i | −0.862248 | − | 2.65373i | ||||
\(801\) | −452.342 | + | 146.975i | −0.564722 | + | 0.183489i | ||||
\(802\) | −653.463 | + | 2011.15i | −0.814792 | + | 2.50767i | ||||
\(803\) | 137.819 | + | 189.691i | 0.171630 | + | 0.236228i | ||||
\(804\) | 1689.02 | − | 548.795i | 2.10077 | − | 0.682581i | ||||
\(805\) | −490.467 | − | 601.321i | −0.609276 | − | 0.746983i | ||||
\(806\) | 2167.85 | 2.68964 | ||||||||
\(807\) | 126.793 | − | 390.227i | 0.157116 | − | 0.483553i | ||||
\(808\) | 390.921 | − | 538.056i | 0.483813 | − | 0.665911i | ||||
\(809\) | −227.576 | + | 165.343i | −0.281305 | + | 0.204380i | −0.719486 | − | 0.694507i | \(-0.755623\pi\) |
0.438182 | + | 0.898886i | \(0.355623\pi\) | |||||||
\(810\) | −1642.22 | − | 2260.32i | −2.02743 | − | 2.79052i | ||||
\(811\) | 957.603i | 1.18077i | 0.807122 | + | 0.590384i | \(0.201024\pi\) | ||||
−0.807122 | + | 0.590384i | \(0.798976\pi\) | |||||||
\(812\) | −474.392 | − | 1222.91i | −0.584227 | − | 1.50604i | ||||
\(813\) | −508.474 | − | 1564.92i | −0.625430 | − | 1.92487i | ||||
\(814\) | 218.487 | − | 672.433i | 0.268411 | − | 0.826085i | ||||
\(815\) | 503.653 | − | 693.219i | 0.617979 | − | 0.850576i | ||||
\(816\) | 508.093 | + | 369.151i | 0.622663 | + | 0.452391i | ||||
\(817\) | − | 572.422i | − | 0.700639i | ||||||
\(818\) | −495.755 | − | 161.081i | −0.606058 | − | 0.196920i | ||||
\(819\) | 398.978 | + | 105.397i | 0.487152 | + | 0.128690i | ||||
\(820\) | −1796.31 | − | 1039.07i | −2.19063 | − | 1.26715i | ||||
\(821\) | −330.038 | −0.401995 | −0.200998 | − | 0.979592i | \(-0.564418\pi\) | ||||
−0.200998 | + | 0.979592i | \(0.564418\pi\) | |||||||
\(822\) | 1075.44 | + | 349.432i | 1.30832 | + | 0.425100i | ||||
\(823\) | −345.738 | −0.420094 | −0.210047 | − | 0.977691i | \(-0.567362\pi\) | ||||
−0.210047 | + | 0.977691i | \(0.567362\pi\) | |||||||
\(824\) | 246.004 | − | 338.596i | 0.298549 | − | 0.410917i | ||||
\(825\) | 707.897 | − | 974.337i | 0.858058 | − | 1.18101i | ||||
\(826\) | 979.324 | − | 1519.75i | 1.18562 | − | 1.83989i | ||||
\(827\) | −361.373 | − | 1112.19i | −0.436969 | − | 1.34485i | −0.891056 | − | 0.453894i | \(-0.850035\pi\) |
0.454087 | − | 0.890957i | \(-0.349965\pi\) | |||||||
\(828\) | −217.201 | + | 157.806i | −0.262320 | + | 0.190587i | ||||
\(829\) | 1270.59i | 1.53267i | 0.642439 | + | 0.766337i | \(0.277922\pi\) | ||||
−0.642439 | + | 0.766337i | \(0.722078\pi\) | |||||||
\(830\) | 867.162 | − | 630.030i | 1.04477 | − | 0.759072i | ||||
\(831\) | −220.056 | − | 302.881i | −0.264808 | − | 0.364477i | ||||
\(832\) | −927.317 | + | 1276.34i | −1.11456 | + | 1.53407i | ||||
\(833\) | −897.158 | − | 982.351i | −1.07702 | − | 1.17929i | ||||
\(834\) | 1465.40 | 1.75707 | ||||||||
\(835\) | −439.068 | − | 319.002i | −0.525830 | − | 0.382038i | ||||
\(836\) | −565.415 | + | 183.714i | −0.676333 | + | 0.219754i | ||||
\(837\) | −676.098 | + | 491.214i | −0.807764 | + | 0.586875i | ||||
\(838\) | 1682.43 | + | 546.655i | 2.00767 | + | 0.652332i | ||||
\(839\) | −26.5580 | + | 8.62920i | −0.0316543 | + | 0.0102851i | −0.324801 | − | 0.945782i | \(-0.605297\pi\) |
0.293147 | + | 0.956067i | \(0.405297\pi\) | |||||||
\(840\) | 1164.12 | − | 65.1325i | 1.38586 | − | 0.0775387i | ||||
\(841\) | 76.5636 | + | 235.639i | 0.0910388 | + | 0.280189i | ||||
\(842\) | 543.534 | + | 1672.83i | 0.645528 | + | 1.98673i | ||||
\(843\) | 450.150 | + | 146.263i | 0.533986 | + | 0.173503i | ||||
\(844\) | 1364.10 | − | 991.075i | 1.61623 | − | 1.17426i | ||||
\(845\) | 606.562 | − | 197.084i | 0.717825 | − | 0.233235i | ||||
\(846\) | −311.237 | + | 428.381i | −0.367892 | + | 0.506360i | ||||
\(847\) | 147.962 | − | 560.108i | 0.174690 | − | 0.661285i | ||||
\(848\) | −78.6038 | + | 241.918i | −0.0926932 | + | 0.285280i | ||||
\(849\) | −1043.75 | − | 758.329i | −1.22939 | − | 0.893203i | ||||
\(850\) | −2702.63 | − | 3719.85i | −3.17956 | − | 4.37629i | ||||
\(851\) | −369.809 | + | 268.682i | −0.434558 | + | 0.315725i | ||||
\(852\) | 1647.09i | 1.93321i | ||||||||
\(853\) | 831.608 | + | 1144.61i | 0.974921 | + | 1.34186i | 0.939521 | + | 0.342491i | \(0.111271\pi\) |
0.0354000 | + | 0.999373i | \(0.488729\pi\) | |||||||
\(854\) | 45.3968 | + | 811.383i | 0.0531578 | + | 0.950097i | ||||
\(855\) | 177.219 | − | 545.423i | 0.207273 | − | 0.637922i | ||||
\(856\) | −428.839 | − | 311.570i | −0.500980 | − | 0.363983i | ||||
\(857\) | −621.381 | + | 855.257i | −0.725065 | + | 0.997967i | 0.274275 | + | 0.961651i | \(0.411562\pi\) |
−0.999340 | + | 0.0363154i | \(0.988438\pi\) | |||||||
\(858\) | −1067.59 | −1.24427 | ||||||||
\(859\) | −698.374 | − | 226.916i | −0.813009 | − | 0.264163i | −0.127137 | − | 0.991885i | \(-0.540579\pi\) |
−0.685872 | + | 0.727723i | \(0.740579\pi\) | |||||||
\(860\) | − | 1711.41i | − | 1.99001i | ||||||
\(861\) | −724.113 | + | 728.051i | −0.841014 | + | 0.845588i | ||||
\(862\) | −126.577 | −0.146841 | ||||||||
\(863\) | 229.768 | − | 707.152i | 0.266243 | − | 0.819412i | −0.725161 | − | 0.688579i | \(-0.758235\pi\) |
0.991404 | − | 0.130833i | \(-0.0417651\pi\) | |||||||
\(864\) | − | 762.805i | − | 0.882876i | ||||||
\(865\) | −1418.53 | − | 1030.62i | −1.63992 | − | 1.19147i | ||||
\(866\) | −224.218 | + | 308.609i | −0.258912 | + | 0.356361i | ||||
\(867\) | 1524.94 | + | 495.484i | 1.75887 | + | 0.571492i | ||||
\(868\) | −99.7681 | − | 1783.17i | −0.114940 | − | 2.05434i | ||||
\(869\) | −191.821 | + | 139.366i | −0.220737 | + | 0.160375i | ||||
\(870\) | −3273.46 | −3.76259 | ||||||||
\(871\) | −796.834 | − | 1096.75i | −0.914850 | − | 1.25918i | ||||
\(872\) | 259.474 | − | 188.519i | 0.297562 | − | 0.216191i | ||||
\(873\) | 42.2008 | − | 58.0844i | 0.0483400 | − | 0.0665343i | ||||
\(874\) | 623.022 | + | 202.432i | 0.712840 | + | 0.231616i | ||||
\(875\) | 1775.46 | + | 469.018i | 2.02910 | + | 0.536021i | ||||
\(876\) | 623.274 | + | 452.835i | 0.711500 | + | 0.516935i | ||||
\(877\) | 369.333 | + | 1136.69i | 0.421132 | + | 1.29611i | 0.906650 | + | 0.421884i | \(0.138631\pi\) |
−0.485518 | + | 0.874227i | \(0.661369\pi\) | |||||||
\(878\) | −951.815 | − | 1310.06i | −1.08407 | − | 1.49210i | ||||
\(879\) | 386.895 | − | 1190.74i | 0.440153 | − | 1.35465i | ||||
\(880\) | 338.886 | − | 110.111i | 0.385098 | − | 0.125126i | ||||
\(881\) | −36.6720 | + | 11.9155i | −0.0416254 | + | 0.0135249i | −0.329756 | − | 0.944066i | \(-0.606966\pi\) |
0.288130 | + | 0.957591i | \(0.406966\pi\) | |||||||
\(882\) | 116.463 | − | 567.601i | 0.132045 | − | 0.643539i | ||||
\(883\) | 295.868 | + | 910.588i | 0.335071 | + | 1.03124i | 0.966687 | + | 0.255962i | \(0.0823921\pi\) |
−0.631616 | + | 0.775282i | \(0.717608\pi\) | |||||||
\(884\) | −738.994 | + | 2274.39i | −0.835966 | + | 2.57284i | ||||
\(885\) | −1556.04 | − | 2141.70i | −1.75823 | − | 2.42000i | ||||
\(886\) | 112.603 | + | 346.556i | 0.127091 | + | 0.391146i | ||||
\(887\) | 839.652 | − | 1155.68i | 0.946620 | − | 1.30291i | −0.00639274 | − | 0.999980i | \(-0.502035\pi\) |
0.953013 | − | 0.302931i | \(-0.0979651\pi\) | |||||||
\(888\) | − | 686.825i | − | 0.773452i | ||||||
\(889\) | −121.020 | − | 77.9848i | −0.136130 | − | 0.0877220i | ||||
\(890\) | 2807.04 | + | 2039.44i | 3.15398 | + | 2.29150i | ||||
\(891\) | 504.091 | − | 366.243i | 0.565758 | − | 0.411047i | ||||
\(892\) | 231.675 | + | 318.874i | 0.259726 | + | 0.357482i | ||||
\(893\) | 758.062 | 0.848894 | ||||||||
\(894\) | 811.869 | + | 1117.44i | 0.908131 | + | 1.24994i | ||||
\(895\) | 2036.46 | − | 661.685i | 2.27537 | − | 0.739313i | ||||
\(896\) | 896.887 | + | 577.952i | 1.00099 | + | 0.645036i | ||||
\(897\) | 558.389 | + | 405.694i | 0.622508 | + | 0.452278i | ||||
\(898\) | 842.513 | + | 612.121i | 0.938210 | + | 0.681649i | ||||
\(899\) | 1482.42i | 1.64897i | ||||||||
\(900\) | 363.089 | − | 1117.47i | 0.403432 | − | 1.24164i | ||||
\(901\) | 1068.20i | 1.18558i | ||||||||
\(902\) | 394.950 | − | 682.779i | 0.437860 | − | 0.756961i | ||||
\(903\) | −818.751 | − | 216.287i | −0.906701 | − | 0.239521i | ||||
\(904\) | 43.3380 | − | 133.381i | 0.0479402 | − | 0.147545i | ||||
\(905\) | −1683.18 | −1.85986 | ||||||||
\(906\) | −600.965 | + | 827.157i | −0.663316 | + | 0.912977i | ||||
\(907\) | −433.317 | − | 314.823i | −0.477748 | − | 0.347104i | 0.322705 | − | 0.946500i | \(-0.395408\pi\) |
−0.800453 | + | 0.599395i | \(0.795408\pi\) | |||||||
\(908\) | −466.505 | − | 151.577i | −0.513772 | − | 0.166935i | ||||
\(909\) | −460.267 | + | 149.550i | −0.506344 | + | 0.164521i | ||||
\(910\) | −1088.76 | − | 2806.65i | −1.19644 | − | 3.08423i | ||||
\(911\) | 1113.09 | 1.22184 | 0.610918 | − | 0.791694i | \(-0.290800\pi\) | ||||
0.610918 | + | 0.791694i | \(0.290800\pi\) | |||||||
\(912\) | 316.810 | − | 230.176i | 0.347379 | − | 0.252386i | ||||
\(913\) | 140.507 | + | 193.392i | 0.153896 | + | 0.211820i | ||||
\(914\) | −787.303 | − | 572.009i | −0.861382 | − | 0.625831i | ||||
\(915\) | 1131.68 | + | 367.705i | 1.23681 | + | 0.401863i | ||||
\(916\) | 1633.37i | 1.78315i | ||||||||
\(917\) | −719.326 | − | 881.907i | −0.784434 | − | 0.961731i | ||||
\(918\) | −485.538 | − | 1494.33i | −0.528908 | − | 1.62781i | ||||
\(919\) | 30.9897 | − | 22.5153i | 0.0337211 | − | 0.0244998i | −0.570797 | − | 0.821091i | \(-0.693366\pi\) |
0.604518 | + | 0.796591i | \(0.293366\pi\) | |||||||
\(920\) | 550.698 | + | 178.933i | 0.598585 | + | 0.194492i | ||||
\(921\) | −9.72651 | − | 29.9351i | −0.0105608 | − | 0.0325028i | ||||
\(922\) | 245.242 | − | 79.6839i | 0.265989 | − | 0.0864251i | ||||
\(923\) | 1195.76 | − | 388.528i | 1.29552 | − | 0.420940i | ||||
\(924\) | 49.1320 | + | 878.144i | 0.0531732 | + | 0.950372i | ||||
\(925\) | 618.198 | − | 1902.62i | 0.668322 | − | 2.05688i | ||||
\(926\) | −114.749 | + | 83.3703i | −0.123919 | + | 0.0900328i | ||||
\(927\) | −289.643 | + | 94.1108i | −0.312452 | + | 0.101522i | ||||
\(928\) | −1094.69 | − | 795.338i | −1.17962 | − | 0.857045i | ||||
\(929\) | − | 92.8975i | − | 0.0999973i | −0.998749 | − | 0.0499987i | \(-0.984078\pi\) | ||
0.998749 | − | 0.0499987i | \(-0.0159217\pi\) | |||||||
\(930\) | −4238.87 | − | 1377.29i | −4.55793 | − | 1.48096i | ||||
\(931\) | −755.409 | + | 342.744i | −0.811395 | + | 0.368146i | ||||
\(932\) | −386.542 | + | 280.839i | −0.414745 | + | 0.301330i | ||||
\(933\) | 1445.14 | − | 1049.96i | 1.54892 | − | 1.12536i | ||||
\(934\) | − | 2145.87i | − | 2.29751i | ||||||
\(935\) | 1210.59 | − | 879.548i | 1.29475 | − | 0.940693i | ||||
\(936\) | −292.860 | + | 95.1559i | −0.312884 | + | 0.101662i | ||||
\(937\) | 93.3892 | + | 30.3440i | 0.0996683 | + | 0.0323842i | 0.358427 | − | 0.933558i | \(-0.383313\pi\) |
−0.258758 | + | 0.965942i | \(0.583313\pi\) | |||||||
\(938\) | −1475.05 | + | 1203.12i | −1.57255 | + | 1.28265i | ||||
\(939\) | 491.807 | + | 357.319i | 0.523756 | + | 0.380531i | ||||
\(940\) | 2266.44 | 2.41110 | ||||||||
\(941\) | −308.142 | − | 100.121i | −0.327462 | − | 0.106399i | 0.140672 | − | 0.990056i | \(-0.455074\pi\) |
−0.468134 | + | 0.883657i | \(0.655074\pi\) | |||||||
\(942\) | −1369.05 | −1.45334 | ||||||||
\(943\) | −466.037 | + | 207.035i | −0.494207 | + | 0.219550i | ||||
\(944\) | − | 536.738i | − | 0.568578i | ||||||
\(945\) | 975.515 | + | 628.620i | 1.03229 | + | 0.665206i | ||||
\(946\) | 650.508 | 0.687641 | ||||||||
\(947\) | 684.348 | + | 497.208i | 0.722648 | + | 0.525035i | 0.887229 | − | 0.461329i | \(-0.152627\pi\) |
−0.164581 | + | 0.986364i | \(0.552627\pi\) | |||||||
\(948\) | −457.919 | + | 630.272i | −0.483037 | + | 0.664844i | ||||
\(949\) | 181.729 | − | 559.306i | 0.191496 | − | 0.589363i | ||||
\(950\) | −2726.65 | + | 885.942i | −2.87016 | + | 0.932571i | ||||
\(951\) | 314.090 | + | 432.307i | 0.330273 | + | 0.454582i | ||||
\(952\) | 959.806 | + | 253.549i | 1.00820 | + | 0.266333i | ||||
\(953\) | −524.896 | + | 381.359i | −0.550783 | + | 0.400167i | −0.828074 | − | 0.560619i | \(-0.810563\pi\) |
0.277291 | + | 0.960786i | \(0.410563\pi\) | |||||||
\(954\) | −376.388 | + | 273.462i | −0.394536 | + | 0.286647i | ||||
\(955\) | 631.580 | − | 869.295i | 0.661340 | − | 0.910257i | ||||
\(956\) | −152.658 | + | 469.834i | −0.159685 | + | 0.491459i | ||||
\(957\) | − | 730.037i | − | 0.762839i | ||||||
\(958\) | −697.720 | + | 960.329i | −0.728309 | + | 1.00243i | ||||
\(959\) | −710.010 | + | 39.7250i | −0.740365 | + | 0.0414233i | ||||
\(960\) | 2624.11 | − | 1906.53i | 2.73344 | − | 1.98596i | ||||
\(961\) | −326.758 | + | 1005.66i | −0.340019 | + | 1.04647i | ||||
\(962\) | −1686.56 | + | 547.998i | −1.75318 | + | 0.569644i | ||||
\(963\) | 119.193 | + | 366.840i | 0.123773 | + | 0.380934i | ||||
\(964\) | −1048.61 | + | 340.714i | −1.08777 | + | 0.353438i | ||||
\(965\) | −915.752 | + | 297.546i | −0.948966 | + | 0.308338i | ||||
\(966\) | 524.951 | − | 814.638i | 0.543427 | − | 0.843310i | ||||
\(967\) | −273.290 | + | 198.557i | −0.282616 | + | 0.205333i | −0.720058 | − | 0.693914i | \(-0.755885\pi\) |
0.437441 | + | 0.899247i | \(0.355885\pi\) | |||||||
\(968\) | 133.585 | + | 411.134i | 0.138001 | + | 0.424725i | ||||
\(969\) | 966.613 | − | 1330.43i | 0.997537 | − | 1.37299i | ||||
\(970\) | −523.761 | −0.539960 | ||||||||
\(971\) | −330.824 | − | 107.491i | −0.340704 | − | 0.110702i | 0.133667 | − | 0.991026i | \(-0.457325\pi\) |
−0.474372 | + | 0.880325i | \(0.657325\pi\) | |||||||
\(972\) | 644.549 | − | 887.146i | 0.663117 | − | 0.912702i | ||||
\(973\) | −859.169 | + | 333.290i | −0.883010 | + | 0.342539i | ||||
\(974\) | 2054.33 | − | 1492.56i | 2.10917 | − | 1.53240i | ||||
\(975\) | −3020.68 | −3.09814 | ||||||||
\(976\) | 141.807 | + | 195.180i | 0.145294 | + | 0.199980i | ||||
\(977\) | −185.462 | − | 570.795i | −0.189828 | − | 0.584232i | 0.810170 | − | 0.586196i | \(-0.199375\pi\) |
−0.999998 | + | 0.00196359i | \(0.999375\pi\) | |||||||
\(978\) | 1017.77 | + | 330.693i | 1.04066 | + | 0.338132i | ||||
\(979\) | −454.830 | + | 626.019i | −0.464586 | + | 0.639448i | ||||
\(980\) | −2258.50 | + | 1024.73i | −2.30460 | + | 1.04564i | ||||
\(981\) | −233.383 | −0.237903 | ||||||||
\(982\) | 377.933 | − | 1163.16i | 0.384861 | − | 1.18448i | ||||
\(983\) | 1118.21i | 1.13755i | 0.822492 | + | 0.568776i | \(0.192583\pi\) | ||||
−0.822492 | + | 0.568776i | \(0.807417\pi\) | |||||||
\(984\) | 159.923 | − | 749.355i | 0.162523 | − | 0.761539i | ||||
\(985\) | 305.330i | 0.309980i | ||||||||
\(986\) | −2650.74 | − | 861.277i | −2.68837 | − | 0.873506i | ||||
\(987\) | 286.431 | − | 1084.28i | 0.290204 | − | 1.09856i | ||||
\(988\) | 1206.35 | + | 876.462i | 1.22100 | + | 0.887107i | ||||
\(989\) | −340.241 | − | 247.200i | −0.344026 | − | 0.249949i | ||||
\(990\) | 619.827 | + | 201.394i | 0.626088 | + | 0.203428i | ||||
\(991\) | 449.760 | + | 1384.22i | 0.453844 | + | 1.39679i | 0.872487 | + | 0.488638i | \(0.162506\pi\) |
−0.418642 | + | 0.908151i | \(0.637494\pi\) | |||||||
\(992\) | −1082.90 | − | 1490.49i | −1.09164 | − | 1.50251i | ||||
\(993\) | 1846.71i | 1.85973i | ||||||||
\(994\) | −638.476 | − | 1645.89i | −0.642330 | − | 1.65583i | ||||
\(995\) | −2381.82 | + | 1730.49i | −2.39379 | + | 1.73919i | ||||
\(996\) | 635.434 | + | 461.670i | 0.637986 | + | 0.463524i | ||||
\(997\) | −403.809 | − | 131.206i | −0.405024 | − | 0.131600i | 0.0994180 | − | 0.995046i | \(-0.468302\pi\) |
−0.504442 | + | 0.863445i | \(0.668302\pi\) | |||||||
\(998\) | 2597.23 | 2.60244 | ||||||||
\(999\) | 401.825 | − | 553.065i | 0.402228 | − | 0.553619i |
(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 | 287.3.o.a.139.7 | ✓ | 216 | |
7.6 | odd | 2 | inner | 287.3.o.a.139.8 | yes | 216 | |
41.18 | even | 5 | inner | 287.3.o.a.223.7 | yes | 216 | |
287.223 | odd | 10 | inner | 287.3.o.a.223.8 | yes | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.3.o.a.139.7 | ✓ | 216 | 1.1 | even | 1 | trivial | |
287.3.o.a.139.8 | yes | 216 | 7.6 | odd | 2 | inner | |
287.3.o.a.223.7 | yes | 216 | 41.18 | even | 5 | inner | |
287.3.o.a.223.8 | yes | 216 | 287.223 | odd | 10 | inner |